1,1,73,70,1.609432,"\text{Not used}","int(sinh(c + d*x)^4*(a + b/cosh(c + d*x)^2),x)","\frac{3\,a\,x}{8}-\frac{3\,b\,x}{2}-\frac{a\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)}{4\,d}+\frac{a\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)}{32\,d}+\frac{b\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)}{4\,d}+\frac{b\,\mathrm{sinh}\left(c+d\,x\right)}{d\,\mathrm{cosh}\left(c+d\,x\right)}","Not used",1,"(3*a*x)/8 - (3*b*x)/2 - (a*sinh(2*c + 2*d*x))/(4*d) + (a*sinh(4*c + 4*d*x))/(32*d) + (b*sinh(2*c + 2*d*x))/(4*d) + (b*sinh(c + d*x))/(d*cosh(c + d*x))","B"
2,1,44,44,0.177470,"\text{Not used}","int(sinh(c + d*x)^3*(a + b/cosh(c + d*x)^2),x)","\frac{a\,{\mathrm{cosh}\left(c+d\,x\right)}^3}{3\,d}-\frac{\mathrm{cosh}\left(c+d\,x\right)\,\left(a-b\right)}{d}+\frac{b}{d\,\mathrm{cosh}\left(c+d\,x\right)}","Not used",1,"(a*cosh(c + d*x)^3)/(3*d) - (cosh(c + d*x)*(a - b))/d + b/(d*cosh(c + d*x))","B"
3,1,55,43,1.427697,"\text{Not used}","int(sinh(c + d*x)^2*(a + b/cosh(c + d*x)^2),x)","\frac{a\,\mathrm{cosh}\left(c+d\,x\right)\,\mathrm{sinh}\left(c+d\,x\right)}{2\,d}-\frac{\frac{a\,d\,x}{2}-b\,d\,x}{d}-\frac{b\,\mathrm{sinh}\left(c+d\,x\right)}{d\,\mathrm{cosh}\left(c+d\,x\right)}","Not used",1,"(a*cosh(c + d*x)*sinh(c + d*x))/(2*d) - ((a*d*x)/2 - b*d*x)/d - (b*sinh(c + d*x))/(d*cosh(c + d*x))","B"
4,1,26,24,0.083443,"\text{Not used}","int(sinh(c + d*x)*(a + b/cosh(c + d*x)^2),x)","-\frac{b-a\,{\mathrm{cosh}\left(c+d\,x\right)}^2}{d\,\mathrm{cosh}\left(c+d\,x\right)}","Not used",1,"-(b - a*cosh(c + d*x)^2)/(d*cosh(c + d*x))","B"
5,1,79,27,1.411896,"\text{Not used}","int((a + b/cosh(c + d*x)^2)/sinh(c + d*x),x)","\frac{b}{d\,\mathrm{cosh}\left(c+d\,x\right)}-\frac{2\,\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(a\,\sqrt{-d^2}+b\,\sqrt{-d^2}\right)}{d\,\sqrt{a^2+2\,a\,b+b^2}}\right)\,\sqrt{a^2+2\,a\,b+b^2}}{\sqrt{-d^2}}","Not used",1,"b/(d*cosh(c + d*x)) - (2*atan((exp(d*x)*exp(c)*(a*(-d^2)^(1/2) + b*(-d^2)^(1/2)))/(d*(2*a*b + a^2 + b^2)^(1/2)))*(2*a*b + a^2 + b^2)^(1/2))/(-d^2)^(1/2)","B"
6,1,34,27,1.376491,"\text{Not used}","int((a + b/cosh(c + d*x)^2)/sinh(c + d*x)^2,x)","-\frac{2\,\left(a+2\,b+a\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-1\right)}","Not used",1,"-(2*(a + 2*b + a*exp(2*c + 2*d*x)))/(d*(exp(4*c + 4*d*x) - 1))","B"
7,1,160,54,0.166353,"\text{Not used}","int((a + b/cosh(c + d*x)^2)/sinh(c + d*x)^3,x)","\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(a\,\sqrt{-d^2}+3\,b\,\sqrt{-d^2}\right)}{d\,\sqrt{a^2+6\,a\,b+9\,b^2}}\right)\,\sqrt{a^2+6\,a\,b+9\,b^2}}{\sqrt{-d^2}}-\frac{{\mathrm{e}}^{c+d\,x}\,\left(a+b\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{2\,{\mathrm{e}}^{c+d\,x}\,\left(a+b\right)}{d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{2\,b\,{\mathrm{e}}^{c+d\,x}}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"(atan((exp(d*x)*exp(c)*(a*(-d^2)^(1/2) + 3*b*(-d^2)^(1/2)))/(d*(6*a*b + a^2 + 9*b^2)^(1/2)))*(6*a*b + a^2 + 9*b^2)^(1/2))/(-d^2)^(1/2) - (exp(c + d*x)*(a + b))/(d*(exp(2*c + 2*d*x) - 1)) - (2*exp(c + d*x)*(a + b))/(d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) - (2*b*exp(c + d*x))/(d*(exp(2*c + 2*d*x) + 1))","B"
8,1,172,45,1.401478,"\text{Not used}","int((a + b/cosh(c + d*x)^2)/sinh(c + d*x)^4,x)","\frac{\frac{2\,b}{3\,d}+\frac{2\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}}{3\,d}-\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(2\,a+3\,b\right)}{3\,d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}-3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}-1}-\frac{\frac{2\,\left(2\,a+3\,b\right)}{3\,d}-\frac{2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}}{3\,d}}{{\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1}+\frac{2\,b}{3\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{2\,b}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"((2*b)/(3*d) + (2*b*exp(4*c + 4*d*x))/(3*d) - (4*exp(2*c + 2*d*x)*(2*a + 3*b))/(3*d))/(3*exp(2*c + 2*d*x) - 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) - 1) - ((2*(2*a + 3*b))/(3*d) - (2*b*exp(2*c + 2*d*x))/(3*d))/(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1) + (2*b)/(3*d*(exp(2*c + 2*d*x) - 1)) - (2*b)/(d*(exp(2*c + 2*d*x) + 1))","B"
9,1,269,114,0.269509,"\text{Not used}","int(sinh(c + d*x)^4*(a + b/cosh(c + d*x)^2)^2,x)","x\,\left(\frac{3\,a^2}{8}-3\,a\,b+b^2\right)-\frac{\frac{4\,\left(a\,b-b^2\right)}{3\,d}+\frac{4\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(a\,b-b^2\right)}{3\,d}+\frac{8\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}}{3\,d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1}-\frac{\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a\,b-b^2\right)}{3\,d}+\frac{4\,a\,b}{3\,d}}{2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1}-\frac{4\,\left(a\,b-b^2\right)}{3\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}+\frac{{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(2\,a\,b-a^2\right)}{8\,d}-\frac{a^2\,{\mathrm{e}}^{-4\,c-4\,d\,x}}{64\,d}+\frac{a^2\,{\mathrm{e}}^{4\,c+4\,d\,x}}{64\,d}+\frac{a\,{\mathrm{e}}^{-2\,c-2\,d\,x}\,\left(a-2\,b\right)}{8\,d}","Not used",1,"x*((3*a^2)/8 - 3*a*b + b^2) - ((4*(a*b - b^2))/(3*d) + (4*exp(4*c + 4*d*x)*(a*b - b^2))/(3*d) + (8*a*b*exp(2*c + 2*d*x))/(3*d))/(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1) - ((4*exp(2*c + 2*d*x)*(a*b - b^2))/(3*d) + (4*a*b)/(3*d))/(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1) - (4*(a*b - b^2))/(3*d*(exp(2*c + 2*d*x) + 1)) + (exp(2*c + 2*d*x)*(2*a*b - a^2))/(8*d) - (a^2*exp(- 4*c - 4*d*x))/(64*d) + (a^2*exp(4*c + 4*d*x))/(64*d) + (a*exp(- 2*c - 2*d*x)*(a - 2*b))/(8*d)","B"
10,1,201,72,1.496453,"\text{Not used}","int(sinh(c + d*x)^3*(a + b/cosh(c + d*x)^2)^2,x)","\frac{{\mathrm{e}}^{c+d\,x}\,\left(8\,a\,b-3\,a^2\right)}{8\,d}+\frac{{\mathrm{e}}^{-c-d\,x}\,\left(8\,a\,b-3\,a^2\right)}{8\,d}+\frac{a^2\,{\mathrm{e}}^{-3\,c-3\,d\,x}}{24\,d}+\frac{a^2\,{\mathrm{e}}^{3\,c+3\,d\,x}}{24\,d}-\frac{8\,b^2\,{\mathrm{e}}^{c+d\,x}}{3\,d\,\left(3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1\right)}+\frac{2\,{\mathrm{e}}^{c+d\,x}\,\left(2\,a\,b-b^2\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}+\frac{8\,b^2\,{\mathrm{e}}^{c+d\,x}}{3\,d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}","Not used",1,"(exp(c + d*x)*(8*a*b - 3*a^2))/(8*d) + (exp(- c - d*x)*(8*a*b - 3*a^2))/(8*d) + (a^2*exp(- 3*c - 3*d*x))/(24*d) + (a^2*exp(3*c + 3*d*x))/(24*d) - (8*b^2*exp(c + d*x))/(3*d*(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1)) + (2*exp(c + d*x)*(2*a*b - b^2))/(d*(exp(2*c + 2*d*x) + 1)) + (8*b^2*exp(c + d*x))/(3*d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1))","B"
11,1,236,73,0.158616,"\text{Not used}","int(sinh(c + d*x)^2*(a + b/cosh(c + d*x)^2)^2,x)","\frac{\frac{2\,\left(b^2+2\,a\,b\right)}{3\,d}+\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(2\,a\,b-b^2\right)}{3\,d}}{2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1}+x\,\left(2\,a\,b-\frac{a^2}{2}\right)+\frac{\frac{2\,\left(2\,a\,b-b^2\right)}{3\,d}+\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(b^2+2\,a\,b\right)}{3\,d}+\frac{2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(2\,a\,b-b^2\right)}{3\,d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1}+\frac{2\,\left(2\,a\,b-b^2\right)}{3\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{a^2\,{\mathrm{e}}^{-2\,c-2\,d\,x}}{8\,d}+\frac{a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}}{8\,d}","Not used",1,"((2*(2*a*b + b^2))/(3*d) + (2*exp(2*c + 2*d*x)*(2*a*b - b^2))/(3*d))/(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1) + x*(2*a*b - a^2/2) + ((2*(2*a*b - b^2))/(3*d) + (4*exp(2*c + 2*d*x)*(2*a*b + b^2))/(3*d) + (2*exp(4*c + 4*d*x)*(2*a*b - b^2))/(3*d))/(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1) + (2*(2*a*b - b^2))/(3*d*(exp(2*c + 2*d*x) + 1)) - (a^2*exp(- 2*c - 2*d*x))/(8*d) + (a^2*exp(2*c + 2*d*x))/(8*d)","B"
12,1,45,45,1.466218,"\text{Not used}","int(sinh(c + d*x)*(a + b/cosh(c + d*x)^2)^2,x)","\frac{a^2\,\mathrm{cosh}\left(c+d\,x\right)}{d}-\frac{\frac{b^2}{3}+2\,a\,b\,{\mathrm{cosh}\left(c+d\,x\right)}^2}{d\,{\mathrm{cosh}\left(c+d\,x\right)}^3}","Not used",1,"(a^2*cosh(c + d*x))/d - (b^2/3 + 2*a*b*cosh(c + d*x)^2)/(d*cosh(c + d*x)^3)","B"
13,1,232,52,1.503340,"\text{Not used}","int((a + b/cosh(c + d*x)^2)^2/sinh(c + d*x),x)","\frac{2\,{\mathrm{e}}^{c+d\,x}\,\left(b^2+2\,a\,b\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{8\,b^2\,{\mathrm{e}}^{c+d\,x}}{3\,d\,\left(3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1\right)}-\frac{2\,\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(a^2\,\sqrt{-d^2}+b^2\,\sqrt{-d^2}+2\,a\,b\,\sqrt{-d^2}\right)}{d\,\sqrt{a^4+4\,a^3\,b+6\,a^2\,b^2+4\,a\,b^3+b^4}}\right)\,\sqrt{a^4+4\,a^3\,b+6\,a^2\,b^2+4\,a\,b^3+b^4}}{\sqrt{-d^2}}+\frac{8\,b^2\,{\mathrm{e}}^{c+d\,x}}{3\,d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}","Not used",1,"(2*exp(c + d*x)*(2*a*b + b^2))/(d*(exp(2*c + 2*d*x) + 1)) - (8*b^2*exp(c + d*x))/(3*d*(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1)) - (2*atan((exp(d*x)*exp(c)*(a^2*(-d^2)^(1/2) + b^2*(-d^2)^(1/2) + 2*a*b*(-d^2)^(1/2)))/(d*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2)^(1/2)))*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2)^(1/2))/(-d^2)^(1/2) + (8*b^2*exp(c + d*x))/(3*d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1))","B"
14,1,215,50,1.487089,"\text{Not used}","int((a + b/cosh(c + d*x)^2)^2/sinh(c + d*x)^2,x)","\frac{\frac{2\,\left(3\,b^2+2\,a\,b\right)}{3\,d}+\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(b^2+2\,a\,b\right)}{3\,d}}{2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1}+\frac{\frac{2\,\left(b^2+2\,a\,b\right)}{3\,d}+\frac{2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(b^2+2\,a\,b\right)}{3\,d}+\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(3\,b^2+2\,a\,b\right)}{3\,d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1}-\frac{2\,\left(a^2+2\,a\,b+b^2\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}+\frac{2\,\left(b^2+2\,a\,b\right)}{3\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"((2*(2*a*b + 3*b^2))/(3*d) + (2*exp(2*c + 2*d*x)*(2*a*b + b^2))/(3*d))/(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1) + ((2*(2*a*b + b^2))/(3*d) + (2*exp(4*c + 4*d*x)*(2*a*b + b^2))/(3*d) + (4*exp(2*c + 2*d*x)*(2*a*b + 3*b^2))/(3*d))/(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1) - (2*(2*a*b + a^2 + b^2))/(d*(exp(2*c + 2*d*x) - 1)) + (2*(2*a*b + b^2))/(3*d*(exp(2*c + 2*d*x) + 1))","B"
15,1,316,104,1.654511,"\text{Not used}","int((a + b/cosh(c + d*x)^2)^2/sinh(c + d*x)^3,x)","\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(a^2\,\sqrt{-d^2}+5\,b^2\,\sqrt{-d^2}+6\,a\,b\,\sqrt{-d^2}\right)}{d\,\sqrt{a^4+12\,a^3\,b+46\,a^2\,b^2+60\,a\,b^3+25\,b^4}}\right)\,\sqrt{a^4+12\,a^3\,b+46\,a^2\,b^2+60\,a\,b^3+25\,b^4}}{\sqrt{-d^2}}-\frac{{\mathrm{e}}^{c+d\,x}\,\left(a^2+2\,a\,b+b^2\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}+\frac{8\,b^2\,{\mathrm{e}}^{c+d\,x}}{3\,d\,\left(3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1\right)}-\frac{2\,{\mathrm{e}}^{c+d\,x}\,\left(a^2+2\,a\,b+b^2\right)}{d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{4\,{\mathrm{e}}^{c+d\,x}\,\left(b^2+a\,b\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{8\,b^2\,{\mathrm{e}}^{c+d\,x}}{3\,d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}","Not used",1,"(atan((exp(d*x)*exp(c)*(a^2*(-d^2)^(1/2) + 5*b^2*(-d^2)^(1/2) + 6*a*b*(-d^2)^(1/2)))/(d*(60*a*b^3 + 12*a^3*b + a^4 + 25*b^4 + 46*a^2*b^2)^(1/2)))*(60*a*b^3 + 12*a^3*b + a^4 + 25*b^4 + 46*a^2*b^2)^(1/2))/(-d^2)^(1/2) - (exp(c + d*x)*(2*a*b + a^2 + b^2))/(d*(exp(2*c + 2*d*x) - 1)) + (8*b^2*exp(c + d*x))/(3*d*(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1)) - (2*exp(c + d*x)*(2*a*b + a^2 + b^2))/(d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) - (4*exp(c + d*x)*(a*b + b^2))/(d*(exp(2*c + 2*d*x) + 1)) - (8*b^2*exp(c + d*x))/(3*d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1))","B"
16,1,115,75,0.212789,"\text{Not used}","int((a + b/cosh(c + d*x)^2)^2/sinh(c + d*x)^4,x)","-\frac{4\,\left(6\,a^2\,{\mathrm{e}}^{4\,c+4\,d\,x}-a^2-8\,b^2-8\,a\,b+8\,a^2\,{\mathrm{e}}^{6\,c+6\,d\,x}+3\,a^2\,{\mathrm{e}}^{8\,c+8\,d\,x}+24\,b^2\,{\mathrm{e}}^{4\,c+4\,d\,x}+24\,a\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}+16\,a\,b\,{\mathrm{e}}^{6\,c+6\,d\,x}\right)}{3\,d\,{\left({\mathrm{e}}^{4\,c+4\,d\,x}-1\right)}^3}","Not used",1,"-(4*(6*a^2*exp(4*c + 4*d*x) - a^2 - 8*b^2 - 8*a*b + 8*a^2*exp(6*c + 6*d*x) + 3*a^2*exp(8*c + 8*d*x) + 24*b^2*exp(4*c + 4*d*x) + 24*a*b*exp(4*c + 4*d*x) + 16*a*b*exp(6*c + 6*d*x)))/(3*d*(exp(4*c + 4*d*x) - 1)^3)","B"
17,1,686,182,0.367384,"\text{Not used}","int(sinh(c + d*x)^4*(a + b/cosh(c + d*x)^2)^3,x)","\frac{\frac{2\,\left(-3\,a^2\,b+3\,a\,b^2+b^3\right)}{5\,d}-\frac{6\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(3\,a^2\,b-2\,a\,b^2+b^3\right)}{5\,d}+\frac{6\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(-3\,a^2\,b+3\,a\,b^2+b^3\right)}{5\,d}-\frac{2\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(3\,a^2\,b-6\,a\,b^2+b^3\right)}{5\,d}}{4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1}-\frac{\frac{2\,\left(3\,a^2\,b-6\,a\,b^2+b^3\right)}{5\,d}-\frac{8\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(-3\,a^2\,b+3\,a\,b^2+b^3\right)}{5\,d}+\frac{12\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(3\,a^2\,b-2\,a\,b^2+b^3\right)}{5\,d}-\frac{8\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(-3\,a^2\,b+3\,a\,b^2+b^3\right)}{5\,d}+\frac{2\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(3\,a^2\,b-6\,a\,b^2+b^3\right)}{5\,d}}{5\,{\mathrm{e}}^{2\,c+2\,d\,x}+10\,{\mathrm{e}}^{4\,c+4\,d\,x}+10\,{\mathrm{e}}^{6\,c+6\,d\,x}+5\,{\mathrm{e}}^{8\,c+8\,d\,x}+{\mathrm{e}}^{10\,c+10\,d\,x}+1}+\frac{\frac{2\,\left(-3\,a^2\,b+3\,a\,b^2+b^3\right)}{5\,d}-\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(3\,a^2\,b-6\,a\,b^2+b^3\right)}{5\,d}}{2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1}-\frac{\frac{2\,\left(3\,a^2\,b-2\,a\,b^2+b^3\right)}{5\,d}-\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(-3\,a^2\,b+3\,a\,b^2+b^3\right)}{5\,d}+\frac{2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(3\,a^2\,b-6\,a\,b^2+b^3\right)}{5\,d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1}+\frac{3\,a\,x\,\left(a^2-12\,a\,b+8\,b^2\right)}{8}-\frac{a^3\,{\mathrm{e}}^{-4\,c-4\,d\,x}}{64\,d}+\frac{a^3\,{\mathrm{e}}^{4\,c+4\,d\,x}}{64\,d}-\frac{2\,\left(3\,a^2\,b-6\,a\,b^2+b^3\right)}{5\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}+\frac{a^2\,{\mathrm{e}}^{-2\,c-2\,d\,x}\,\left(a-3\,b\right)}{8\,d}-\frac{a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a-3\,b\right)}{8\,d}","Not used",1,"((2*(3*a*b^2 - 3*a^2*b + b^3))/(5*d) - (6*exp(2*c + 2*d*x)*(3*a^2*b - 2*a*b^2 + b^3))/(5*d) + (6*exp(4*c + 4*d*x)*(3*a*b^2 - 3*a^2*b + b^3))/(5*d) - (2*exp(6*c + 6*d*x)*(3*a^2*b - 6*a*b^2 + b^3))/(5*d))/(4*exp(2*c + 2*d*x) + 6*exp(4*c + 4*d*x) + 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1) - ((2*(3*a^2*b - 6*a*b^2 + b^3))/(5*d) - (8*exp(2*c + 2*d*x)*(3*a*b^2 - 3*a^2*b + b^3))/(5*d) + (12*exp(4*c + 4*d*x)*(3*a^2*b - 2*a*b^2 + b^3))/(5*d) - (8*exp(6*c + 6*d*x)*(3*a*b^2 - 3*a^2*b + b^3))/(5*d) + (2*exp(8*c + 8*d*x)*(3*a^2*b - 6*a*b^2 + b^3))/(5*d))/(5*exp(2*c + 2*d*x) + 10*exp(4*c + 4*d*x) + 10*exp(6*c + 6*d*x) + 5*exp(8*c + 8*d*x) + exp(10*c + 10*d*x) + 1) + ((2*(3*a*b^2 - 3*a^2*b + b^3))/(5*d) - (2*exp(2*c + 2*d*x)*(3*a^2*b - 6*a*b^2 + b^3))/(5*d))/(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1) - ((2*(3*a^2*b - 2*a*b^2 + b^3))/(5*d) - (4*exp(2*c + 2*d*x)*(3*a*b^2 - 3*a^2*b + b^3))/(5*d) + (2*exp(4*c + 4*d*x)*(3*a^2*b - 6*a*b^2 + b^3))/(5*d))/(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1) + (3*a*x*(a^2 - 12*a*b + 8*b^2))/8 - (a^3*exp(- 4*c - 4*d*x))/(64*d) + (a^3*exp(4*c + 4*d*x))/(64*d) - (2*(3*a^2*b - 6*a*b^2 + b^3))/(5*d*(exp(2*c + 2*d*x) + 1)) + (a^2*exp(- 2*c - 2*d*x)*(a - 3*b))/(8*d) - (a^2*exp(2*c + 2*d*x)*(a - 3*b))/(8*d)","B"
18,1,348,99,0.330099,"\text{Not used}","int(sinh(c + d*x)^3*(a + b/cosh(c + d*x)^2)^3,x)","\frac{a^3\,{\mathrm{e}}^{-3\,c-3\,d\,x}}{24\,d}+\frac{a^3\,{\mathrm{e}}^{3\,c+3\,d\,x}}{24\,d}-\frac{3\,a^2\,{\mathrm{e}}^{-c-d\,x}\,\left(a-4\,b\right)}{8\,d}+\frac{8\,{\mathrm{e}}^{c+d\,x}\,\left(3\,a\,b^2-b^3\right)}{3\,d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}-\frac{64\,b^3\,{\mathrm{e}}^{c+d\,x}}{5\,d\,\left(4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1\right)}-\frac{8\,{\mathrm{e}}^{c+d\,x}\,\left(15\,a\,b^2-17\,b^3\right)}{15\,d\,\left(3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1\right)}+\frac{32\,b^3\,{\mathrm{e}}^{c+d\,x}}{5\,d\,\left(5\,{\mathrm{e}}^{2\,c+2\,d\,x}+10\,{\mathrm{e}}^{4\,c+4\,d\,x}+10\,{\mathrm{e}}^{6\,c+6\,d\,x}+5\,{\mathrm{e}}^{8\,c+8\,d\,x}+{\mathrm{e}}^{10\,c+10\,d\,x}+1\right)}-\frac{6\,{\mathrm{e}}^{c+d\,x}\,\left(a\,b^2-a^2\,b\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{3\,a^2\,{\mathrm{e}}^{c+d\,x}\,\left(a-4\,b\right)}{8\,d}","Not used",1,"(a^3*exp(- 3*c - 3*d*x))/(24*d) + (a^3*exp(3*c + 3*d*x))/(24*d) - (3*a^2*exp(- c - d*x)*(a - 4*b))/(8*d) + (8*exp(c + d*x)*(3*a*b^2 - b^3))/(3*d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1)) - (64*b^3*exp(c + d*x))/(5*d*(4*exp(2*c + 2*d*x) + 6*exp(4*c + 4*d*x) + 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1)) - (8*exp(c + d*x)*(15*a*b^2 - 17*b^3))/(15*d*(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1)) + (32*b^3*exp(c + d*x))/(5*d*(5*exp(2*c + 2*d*x) + 10*exp(4*c + 4*d*x) + 10*exp(6*c + 6*d*x) + 5*exp(8*c + 8*d*x) + exp(10*c + 10*d*x) + 1)) - (6*exp(c + d*x)*(a*b^2 - a^2*b))/(d*(exp(2*c + 2*d*x) + 1)) - (3*a^2*exp(c + d*x)*(a - 4*b))/(8*d)","B"
19,1,592,112,0.229528,"\text{Not used}","int(sinh(c + d*x)^2*(a + b/cosh(c + d*x)^2)^3,x)","\frac{\frac{2\,\left(9\,a^2\,b+3\,a\,b^2+4\,b^3\right)}{15\,d}-\frac{6\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(a\,b^2-a^2\,b\right)}{5\,d}+\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(3\,a^2\,b-b^3\right)}{5\,d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1}+\frac{\frac{2\,\left(3\,a^2\,b-b^3\right)}{5\,d}-\frac{6\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(a\,b^2-a^2\,b\right)}{5\,d}+\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(9\,a^2\,b+3\,a\,b^2+4\,b^3\right)}{5\,d}+\frac{6\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(3\,a^2\,b-b^3\right)}{5\,d}}{4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1}+\frac{\frac{2\,\left(3\,a^2\,b-b^3\right)}{5\,d}-\frac{6\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a\,b^2-a^2\,b\right)}{5\,d}}{2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1}+\frac{\frac{4\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(9\,a^2\,b+3\,a\,b^2+4\,b^3\right)}{5\,d}-\frac{6\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(a\,b^2-a^2\,b\right)}{5\,d}-\frac{6\,\left(a\,b^2-a^2\,b\right)}{5\,d}+\frac{8\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(3\,a^2\,b-b^3\right)}{5\,d}+\frac{8\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(3\,a^2\,b-b^3\right)}{5\,d}}{5\,{\mathrm{e}}^{2\,c+2\,d\,x}+10\,{\mathrm{e}}^{4\,c+4\,d\,x}+10\,{\mathrm{e}}^{6\,c+6\,d\,x}+5\,{\mathrm{e}}^{8\,c+8\,d\,x}+{\mathrm{e}}^{10\,c+10\,d\,x}+1}-\frac{6\,\left(a\,b^2-a^2\,b\right)}{5\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{a^2\,x\,\left(a-6\,b\right)}{2}-\frac{a^3\,{\mathrm{e}}^{-2\,c-2\,d\,x}}{8\,d}+\frac{a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}}{8\,d}","Not used",1,"((2*(3*a*b^2 + 9*a^2*b + 4*b^3))/(15*d) - (6*exp(4*c + 4*d*x)*(a*b^2 - a^2*b))/(5*d) + (4*exp(2*c + 2*d*x)*(3*a^2*b - b^3))/(5*d))/(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1) + ((2*(3*a^2*b - b^3))/(5*d) - (6*exp(6*c + 6*d*x)*(a*b^2 - a^2*b))/(5*d) + (2*exp(2*c + 2*d*x)*(3*a*b^2 + 9*a^2*b + 4*b^3))/(5*d) + (6*exp(4*c + 4*d*x)*(3*a^2*b - b^3))/(5*d))/(4*exp(2*c + 2*d*x) + 6*exp(4*c + 4*d*x) + 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1) + ((2*(3*a^2*b - b^3))/(5*d) - (6*exp(2*c + 2*d*x)*(a*b^2 - a^2*b))/(5*d))/(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1) + ((4*exp(4*c + 4*d*x)*(3*a*b^2 + 9*a^2*b + 4*b^3))/(5*d) - (6*exp(8*c + 8*d*x)*(a*b^2 - a^2*b))/(5*d) - (6*(a*b^2 - a^2*b))/(5*d) + (8*exp(2*c + 2*d*x)*(3*a^2*b - b^3))/(5*d) + (8*exp(6*c + 6*d*x)*(3*a^2*b - b^3))/(5*d))/(5*exp(2*c + 2*d*x) + 10*exp(4*c + 4*d*x) + 10*exp(6*c + 6*d*x) + 5*exp(8*c + 8*d*x) + exp(10*c + 10*d*x) + 1) - (6*(a*b^2 - a^2*b))/(5*d*(exp(2*c + 2*d*x) + 1)) - (a^2*x*(a - 6*b))/2 - (a^3*exp(- 2*c - 2*d*x))/(8*d) + (a^3*exp(2*c + 2*d*x))/(8*d)","B"
20,1,288,64,1.497423,"\text{Not used}","int(sinh(c + d*x)*(a + b/cosh(c + d*x)^2)^3,x)","\frac{a^3\,{\mathrm{e}}^{c+d\,x}}{2\,d}+\frac{a^3\,{\mathrm{e}}^{-c-d\,x}}{2\,d}+\frac{64\,b^3\,{\mathrm{e}}^{c+d\,x}}{5\,d\,\left(4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1\right)}+\frac{8\,{\mathrm{e}}^{c+d\,x}\,\left(5\,a\,b^2-4\,b^3\right)}{5\,d\,\left(3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1\right)}-\frac{32\,b^3\,{\mathrm{e}}^{c+d\,x}}{5\,d\,\left(5\,{\mathrm{e}}^{2\,c+2\,d\,x}+10\,{\mathrm{e}}^{4\,c+4\,d\,x}+10\,{\mathrm{e}}^{6\,c+6\,d\,x}+5\,{\mathrm{e}}^{8\,c+8\,d\,x}+{\mathrm{e}}^{10\,c+10\,d\,x}+1\right)}-\frac{6\,a^2\,b\,{\mathrm{e}}^{c+d\,x}}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{8\,a\,b^2\,{\mathrm{e}}^{c+d\,x}}{d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}","Not used",1,"(a^3*exp(c + d*x))/(2*d) + (a^3*exp(- c - d*x))/(2*d) + (64*b^3*exp(c + d*x))/(5*d*(4*exp(2*c + 2*d*x) + 6*exp(4*c + 4*d*x) + 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1)) + (8*exp(c + d*x)*(5*a*b^2 - 4*b^3))/(5*d*(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1)) - (32*b^3*exp(c + d*x))/(5*d*(5*exp(2*c + 2*d*x) + 10*exp(4*c + 4*d*x) + 10*exp(6*c + 6*d*x) + 5*exp(8*c + 8*d*x) + exp(10*c + 10*d*x) + 1)) - (6*a^2*b*exp(c + d*x))/(d*(exp(2*c + 2*d*x) + 1)) - (8*a*b^2*exp(c + d*x))/(d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1))","B"
21,1,434,83,1.532020,"\text{Not used}","int((a + b/cosh(c + d*x)^2)^3/sinh(c + d*x),x)","\frac{2\,{\mathrm{e}}^{c+d\,x}\,\left(3\,a^2\,b+3\,a\,b^2+b^3\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{2\,\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(a^3\,\sqrt{-d^2}+b^3\,\sqrt{-d^2}+3\,a\,b^2\,\sqrt{-d^2}+3\,a^2\,b\,\sqrt{-d^2}\right)}{d\,\sqrt{a^6+6\,a^5\,b+15\,a^4\,b^2+20\,a^3\,b^3+15\,a^2\,b^4+6\,a\,b^5+b^6}}\right)\,\sqrt{a^6+6\,a^5\,b+15\,a^4\,b^2+20\,a^3\,b^3+15\,a^2\,b^4+6\,a\,b^5+b^6}}{\sqrt{-d^2}}-\frac{64\,b^3\,{\mathrm{e}}^{c+d\,x}}{5\,d\,\left(4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1\right)}-\frac{8\,{\mathrm{e}}^{c+d\,x}\,\left(15\,a\,b^2-7\,b^3\right)}{15\,d\,\left(3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1\right)}+\frac{32\,b^3\,{\mathrm{e}}^{c+d\,x}}{5\,d\,\left(5\,{\mathrm{e}}^{2\,c+2\,d\,x}+10\,{\mathrm{e}}^{4\,c+4\,d\,x}+10\,{\mathrm{e}}^{6\,c+6\,d\,x}+5\,{\mathrm{e}}^{8\,c+8\,d\,x}+{\mathrm{e}}^{10\,c+10\,d\,x}+1\right)}+\frac{8\,{\mathrm{e}}^{c+d\,x}\,\left(b^3+3\,a\,b^2\right)}{3\,d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}","Not used",1,"(2*exp(c + d*x)*(3*a*b^2 + 3*a^2*b + b^3))/(d*(exp(2*c + 2*d*x) + 1)) - (2*atan((exp(d*x)*exp(c)*(a^3*(-d^2)^(1/2) + b^3*(-d^2)^(1/2) + 3*a*b^2*(-d^2)^(1/2) + 3*a^2*b*(-d^2)^(1/2)))/(d*(6*a*b^5 + 6*a^5*b + a^6 + b^6 + 15*a^2*b^4 + 20*a^3*b^3 + 15*a^4*b^2)^(1/2)))*(6*a*b^5 + 6*a^5*b + a^6 + b^6 + 15*a^2*b^4 + 20*a^3*b^3 + 15*a^4*b^2)^(1/2))/(-d^2)^(1/2) - (64*b^3*exp(c + d*x))/(5*d*(4*exp(2*c + 2*d*x) + 6*exp(4*c + 4*d*x) + 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1)) - (8*exp(c + d*x)*(15*a*b^2 - 7*b^3))/(15*d*(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1)) + (32*b^3*exp(c + d*x))/(5*d*(5*exp(2*c + 2*d*x) + 10*exp(4*c + 4*d*x) + 10*exp(6*c + 6*d*x) + 5*exp(8*c + 8*d*x) + exp(10*c + 10*d*x) + 1)) + (8*exp(c + d*x)*(3*a*b^2 + b^3))/(3*d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1))","B"
22,1,644,70,1.479461,"\text{Not used}","int((a + b/cosh(c + d*x)^2)^3/sinh(c + d*x)^2,x)","\frac{\frac{2\,\left(3\,a^2\,b+6\,a\,b^2+2\,b^3\right)}{5\,d}+\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(3\,a^2\,b+3\,a\,b^2+b^3\right)}{5\,d}}{2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1}+\frac{\frac{2\,\left(3\,a^2\,b+6\,a\,b^2+2\,b^3\right)}{5\,d}+\frac{2\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(3\,a^2\,b+3\,a\,b^2+b^3\right)}{5\,d}+\frac{6\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(3\,a^2\,b+7\,a\,b^2+5\,b^3\right)}{5\,d}+\frac{6\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(3\,a^2\,b+6\,a\,b^2+2\,b^3\right)}{5\,d}}{4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1}+\frac{\frac{2\,\left(3\,a^2\,b+3\,a\,b^2+b^3\right)}{5\,d}+\frac{2\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(3\,a^2\,b+3\,a\,b^2+b^3\right)}{5\,d}+\frac{8\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(3\,a^2\,b+6\,a\,b^2+2\,b^3\right)}{5\,d}+\frac{12\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(3\,a^2\,b+7\,a\,b^2+5\,b^3\right)}{5\,d}+\frac{8\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(3\,a^2\,b+6\,a\,b^2+2\,b^3\right)}{5\,d}}{5\,{\mathrm{e}}^{2\,c+2\,d\,x}+10\,{\mathrm{e}}^{4\,c+4\,d\,x}+10\,{\mathrm{e}}^{6\,c+6\,d\,x}+5\,{\mathrm{e}}^{8\,c+8\,d\,x}+{\mathrm{e}}^{10\,c+10\,d\,x}+1}+\frac{\frac{2\,\left(3\,a^2\,b+7\,a\,b^2+5\,b^3\right)}{5\,d}+\frac{2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(3\,a^2\,b+3\,a\,b^2+b^3\right)}{5\,d}+\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(3\,a^2\,b+6\,a\,b^2+2\,b^3\right)}{5\,d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1}-\frac{2\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}+\frac{2\,\left(3\,a^2\,b+3\,a\,b^2+b^3\right)}{5\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"((2*(6*a*b^2 + 3*a^2*b + 2*b^3))/(5*d) + (2*exp(2*c + 2*d*x)*(3*a*b^2 + 3*a^2*b + b^3))/(5*d))/(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1) + ((2*(6*a*b^2 + 3*a^2*b + 2*b^3))/(5*d) + (2*exp(6*c + 6*d*x)*(3*a*b^2 + 3*a^2*b + b^3))/(5*d) + (6*exp(2*c + 2*d*x)*(7*a*b^2 + 3*a^2*b + 5*b^3))/(5*d) + (6*exp(4*c + 4*d*x)*(6*a*b^2 + 3*a^2*b + 2*b^3))/(5*d))/(4*exp(2*c + 2*d*x) + 6*exp(4*c + 4*d*x) + 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1) + ((2*(3*a*b^2 + 3*a^2*b + b^3))/(5*d) + (2*exp(8*c + 8*d*x)*(3*a*b^2 + 3*a^2*b + b^3))/(5*d) + (8*exp(2*c + 2*d*x)*(6*a*b^2 + 3*a^2*b + 2*b^3))/(5*d) + (12*exp(4*c + 4*d*x)*(7*a*b^2 + 3*a^2*b + 5*b^3))/(5*d) + (8*exp(6*c + 6*d*x)*(6*a*b^2 + 3*a^2*b + 2*b^3))/(5*d))/(5*exp(2*c + 2*d*x) + 10*exp(4*c + 4*d*x) + 10*exp(6*c + 6*d*x) + 5*exp(8*c + 8*d*x) + exp(10*c + 10*d*x) + 1) + ((2*(7*a*b^2 + 3*a^2*b + 5*b^3))/(5*d) + (2*exp(4*c + 4*d*x)*(3*a*b^2 + 3*a^2*b + b^3))/(5*d) + (4*exp(2*c + 2*d*x)*(6*a*b^2 + 3*a^2*b + 2*b^3))/(5*d))/(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1) - (2*(3*a*b^2 + 3*a^2*b + a^3 + b^3))/(d*(exp(2*c + 2*d*x) - 1)) + (2*(3*a*b^2 + 3*a^2*b + b^3))/(5*d*(exp(2*c + 2*d*x) + 1))","B"
23,1,536,144,1.643810,"\text{Not used}","int((a + b/cosh(c + d*x)^2)^3/sinh(c + d*x)^3,x)","\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(a^3\,\sqrt{-d^2}+7\,b^3\,\sqrt{-d^2}+15\,a\,b^2\,\sqrt{-d^2}+9\,a^2\,b\,\sqrt{-d^2}\right)}{d\,\sqrt{a^6+18\,a^5\,b+111\,a^4\,b^2+284\,a^3\,b^3+351\,a^2\,b^4+210\,a\,b^5+49\,b^6}}\right)\,\sqrt{a^6+18\,a^5\,b+111\,a^4\,b^2+284\,a^3\,b^3+351\,a^2\,b^4+210\,a\,b^5+49\,b^6}}{\sqrt{-d^2}}-\frac{2\,{\mathrm{e}}^{c+d\,x}\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)}{d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{8\,{\mathrm{e}}^{c+d\,x}\,\left(2\,b^3+3\,a\,b^2\right)}{3\,d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}-\frac{6\,{\mathrm{e}}^{c+d\,x}\,\left(a^2\,b+2\,a\,b^2+b^3\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}+\frac{64\,b^3\,{\mathrm{e}}^{c+d\,x}}{5\,d\,\left(4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1\right)}+\frac{8\,{\mathrm{e}}^{c+d\,x}\,\left(15\,a\,b^2-2\,b^3\right)}{15\,d\,\left(3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1\right)}-\frac{32\,b^3\,{\mathrm{e}}^{c+d\,x}}{5\,d\,\left(5\,{\mathrm{e}}^{2\,c+2\,d\,x}+10\,{\mathrm{e}}^{4\,c+4\,d\,x}+10\,{\mathrm{e}}^{6\,c+6\,d\,x}+5\,{\mathrm{e}}^{8\,c+8\,d\,x}+{\mathrm{e}}^{10\,c+10\,d\,x}+1\right)}-\frac{{\mathrm{e}}^{c+d\,x}\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}","Not used",1,"(atan((exp(d*x)*exp(c)*(a^3*(-d^2)^(1/2) + 7*b^3*(-d^2)^(1/2) + 15*a*b^2*(-d^2)^(1/2) + 9*a^2*b*(-d^2)^(1/2)))/(d*(210*a*b^5 + 18*a^5*b + a^6 + 49*b^6 + 351*a^2*b^4 + 284*a^3*b^3 + 111*a^4*b^2)^(1/2)))*(210*a*b^5 + 18*a^5*b + a^6 + 49*b^6 + 351*a^2*b^4 + 284*a^3*b^3 + 111*a^4*b^2)^(1/2))/(-d^2)^(1/2) - (2*exp(c + d*x)*(3*a*b^2 + 3*a^2*b + a^3 + b^3))/(d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) - (8*exp(c + d*x)*(3*a*b^2 + 2*b^3))/(3*d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1)) - (6*exp(c + d*x)*(2*a*b^2 + a^2*b + b^3))/(d*(exp(2*c + 2*d*x) + 1)) + (64*b^3*exp(c + d*x))/(5*d*(4*exp(2*c + 2*d*x) + 6*exp(4*c + 4*d*x) + 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1)) + (8*exp(c + d*x)*(15*a*b^2 - 2*b^3))/(15*d*(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1)) - (32*b^3*exp(c + d*x))/(5*d*(5*exp(2*c + 2*d*x) + 10*exp(4*c + 4*d*x) + 10*exp(6*c + 6*d*x) + 5*exp(8*c + 8*d*x) + exp(10*c + 10*d*x) + 1)) - (exp(c + d*x)*(3*a*b^2 + 3*a^2*b + a^3 + b^3))/(d*(exp(2*c + 2*d*x) - 1))","B"
24,1,745,104,1.602011,"\text{Not used}","int((a + b/cosh(c + d*x)^2)^3/sinh(c + d*x)^4,x)","\frac{6\,\left(a^2\,b+2\,a\,b^2+b^3\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{\frac{2\,\left(3\,a^2\,b+9\,a\,b^2+5\,b^3\right)}{5\,d}+\frac{6\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(a^2\,b+2\,a\,b^2+b^3\right)}{5\,d}+\frac{6\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(3\,a^2\,b+9\,a\,b^2+5\,b^3\right)}{5\,d}+\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(9\,a^2\,b+30\,a\,b^2+25\,b^3\right)}{5\,d}}{4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1}-\frac{\frac{6\,\left(a^2\,b+2\,a\,b^2+b^3\right)}{5\,d}+\frac{6\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(a^2\,b+2\,a\,b^2+b^3\right)}{5\,d}+\frac{8\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(3\,a^2\,b+9\,a\,b^2+5\,b^3\right)}{5\,d}+\frac{8\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(3\,a^2\,b+9\,a\,b^2+5\,b^3\right)}{5\,d}+\frac{4\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(9\,a^2\,b+30\,a\,b^2+25\,b^3\right)}{5\,d}}{5\,{\mathrm{e}}^{2\,c+2\,d\,x}+10\,{\mathrm{e}}^{4\,c+4\,d\,x}+10\,{\mathrm{e}}^{6\,c+6\,d\,x}+5\,{\mathrm{e}}^{8\,c+8\,d\,x}+{\mathrm{e}}^{10\,c+10\,d\,x}+1}-\frac{\frac{2\,\left(9\,a^2\,b+30\,a\,b^2+25\,b^3\right)}{15\,d}+\frac{6\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(a^2\,b+2\,a\,b^2+b^3\right)}{5\,d}+\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(3\,a^2\,b+9\,a\,b^2+5\,b^3\right)}{5\,d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1}-\frac{4\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)}{d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{\frac{2\,\left(3\,a^2\,b+9\,a\,b^2+5\,b^3\right)}{5\,d}+\frac{6\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a^2\,b+2\,a\,b^2+b^3\right)}{5\,d}}{2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1}-\frac{6\,\left(a^2\,b+2\,a\,b^2+b^3\right)}{5\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{8\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)}{3\,d\,\left(3\,{\mathrm{e}}^{2\,c+2\,d\,x}-3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}-1\right)}","Not used",1,"(6*(2*a*b^2 + a^2*b + b^3))/(d*(exp(2*c + 2*d*x) - 1)) - ((2*(9*a*b^2 + 3*a^2*b + 5*b^3))/(5*d) + (6*exp(6*c + 6*d*x)*(2*a*b^2 + a^2*b + b^3))/(5*d) + (6*exp(4*c + 4*d*x)*(9*a*b^2 + 3*a^2*b + 5*b^3))/(5*d) + (2*exp(2*c + 2*d*x)*(30*a*b^2 + 9*a^2*b + 25*b^3))/(5*d))/(4*exp(2*c + 2*d*x) + 6*exp(4*c + 4*d*x) + 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1) - ((6*(2*a*b^2 + a^2*b + b^3))/(5*d) + (6*exp(8*c + 8*d*x)*(2*a*b^2 + a^2*b + b^3))/(5*d) + (8*exp(2*c + 2*d*x)*(9*a*b^2 + 3*a^2*b + 5*b^3))/(5*d) + (8*exp(6*c + 6*d*x)*(9*a*b^2 + 3*a^2*b + 5*b^3))/(5*d) + (4*exp(4*c + 4*d*x)*(30*a*b^2 + 9*a^2*b + 25*b^3))/(5*d))/(5*exp(2*c + 2*d*x) + 10*exp(4*c + 4*d*x) + 10*exp(6*c + 6*d*x) + 5*exp(8*c + 8*d*x) + exp(10*c + 10*d*x) + 1) - ((2*(30*a*b^2 + 9*a^2*b + 25*b^3))/(15*d) + (6*exp(4*c + 4*d*x)*(2*a*b^2 + a^2*b + b^3))/(5*d) + (4*exp(2*c + 2*d*x)*(9*a*b^2 + 3*a^2*b + 5*b^3))/(5*d))/(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1) - (4*(3*a*b^2 + 3*a^2*b + a^3 + b^3))/(d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) - ((2*(9*a*b^2 + 3*a^2*b + 5*b^3))/(5*d) + (6*exp(2*c + 2*d*x)*(2*a*b^2 + a^2*b + b^3))/(5*d))/(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1) - (6*(2*a*b^2 + a^2*b + b^3))/(5*d*(exp(2*c + 2*d*x) + 1)) - (8*(3*a*b^2 + 3*a^2*b + a^3 + b^3))/(3*d*(3*exp(2*c + 2*d*x) - 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) - 1))","B"
25,1,328,117,2.426140,"\text{Not used}","int(sinh(c + d*x)^4/(a + b/cosh(c + d*x)^2),x)","\frac{x\,\left(3\,a^2+12\,a\,b+8\,b^2\right)}{8\,a^3}-\frac{{\mathrm{e}}^{-4\,c-4\,d\,x}}{64\,a\,d}+\frac{{\mathrm{e}}^{4\,c+4\,d\,x}}{64\,a\,d}+\frac{{\mathrm{e}}^{-2\,c-2\,d\,x}\,\left(a+b\right)}{8\,a^2\,d}-\frac{{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a+b\right)}{8\,a^2\,d}+\frac{\sqrt{b}\,\ln\left(\frac{4\,b\,{\left(a+b\right)}^3\,\left(2\,a\,b+a^2+a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+8\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+8\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^8}-\frac{8\,b^{3/2}\,{\left(a+b\right)}^{7/2}\,\left(a+2\,a\,{\mathrm{e}}^{2\,c+2\,d\,x}+4\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^8}\right)\,{\left(a+b\right)}^{3/2}}{2\,a^3\,d}-\frac{\sqrt{b}\,\ln\left(\frac{8\,b^{3/2}\,{\left(a+b\right)}^{7/2}\,\left(a+2\,a\,{\mathrm{e}}^{2\,c+2\,d\,x}+4\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^8}+\frac{4\,b\,{\left(a+b\right)}^3\,\left(2\,a\,b+a^2+a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+8\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+8\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^8}\right)\,{\left(a+b\right)}^{3/2}}{2\,a^3\,d}","Not used",1,"(x*(12*a*b + 3*a^2 + 8*b^2))/(8*a^3) - exp(- 4*c - 4*d*x)/(64*a*d) + exp(4*c + 4*d*x)/(64*a*d) + (exp(- 2*c - 2*d*x)*(a + b))/(8*a^2*d) - (exp(2*c + 2*d*x)*(a + b))/(8*a^2*d) + (b^(1/2)*log((4*b*(a + b)^3*(2*a*b + a^2 + a^2*exp(2*c + 2*d*x) + 8*b^2*exp(2*c + 2*d*x) + 8*a*b*exp(2*c + 2*d*x)))/a^8 - (8*b^(3/2)*(a + b)^(7/2)*(a + 2*a*exp(2*c + 2*d*x) + 4*b*exp(2*c + 2*d*x)))/a^8)*(a + b)^(3/2))/(2*a^3*d) - (b^(1/2)*log((8*b^(3/2)*(a + b)^(7/2)*(a + 2*a*exp(2*c + 2*d*x) + 4*b*exp(2*c + 2*d*x)))/a^8 + (4*b*(a + b)^3*(2*a*b + a^2 + a^2*exp(2*c + 2*d*x) + 8*b^2*exp(2*c + 2*d*x) + 8*a*b*exp(2*c + 2*d*x)))/a^8)*(a + b)^(3/2))/(2*a^3*d)","B"
26,1,473,71,1.841459,"\text{Not used}","int(sinh(c + d*x)^3/(a + b/cosh(c + d*x)^2),x)","\frac{{\mathrm{e}}^{-3\,c-3\,d\,x}}{24\,a\,d}-\frac{\left(2\,\mathrm{atan}\left(\frac{a^6\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(\frac{4\,\left(2\,a^4\,b\,d\,\sqrt{a^2\,b+2\,a\,b^2+b^3}+2\,a^2\,b^3\,d\,\sqrt{a^2\,b+2\,a\,b^2+b^3}+4\,a^3\,b^2\,d\,\sqrt{a^2\,b+2\,a\,b^2+b^3}\right)}{a^{11}\,d^2\,\left(a+b\right)}+\frac{2\,\left(b^4\,\sqrt{a^5\,d^2}+3\,a^2\,b^2\,\sqrt{a^5\,d^2}+3\,a\,b^3\,\sqrt{a^5\,d^2}+a^3\,b\,\sqrt{a^5\,d^2}\right)}{a^8\,d\,\sqrt{b\,{\left(a+b\right)}^2}\,\sqrt{a^5\,d^2}}\right)\,\sqrt{a^5\,d^2}}{4\,a^2\,b+8\,a\,b^2+4\,b^3}+\frac{2\,{\mathrm{e}}^{3\,c}\,{\mathrm{e}}^{3\,d\,x}\,\left(b^4\,\sqrt{a^5\,d^2}+3\,a^2\,b^2\,\sqrt{a^5\,d^2}+3\,a\,b^3\,\sqrt{a^5\,d^2}+a^3\,b\,\sqrt{a^5\,d^2}\right)}{a^2\,d\,\sqrt{b\,{\left(a+b\right)}^2}\,\left(4\,a^2\,b+8\,a\,b^2+4\,b^3\right)}\right)-2\,\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(a+b\right)\,\sqrt{a^5\,d^2}}{2\,a^2\,d\,\sqrt{b\,{\left(a+b\right)}^2}}\right)\right)\,\sqrt{a^2\,b+2\,a\,b^2+b^3}}{2\,\sqrt{a^5\,d^2}}+\frac{{\mathrm{e}}^{3\,c+3\,d\,x}}{24\,a\,d}-\frac{{\mathrm{e}}^{c+d\,x}\,\left(3\,a+4\,b\right)}{8\,a^2\,d}-\frac{{\mathrm{e}}^{-c-d\,x}\,\left(3\,a+4\,b\right)}{8\,a^2\,d}","Not used",1,"exp(- 3*c - 3*d*x)/(24*a*d) - ((2*atan((a^6*exp(d*x)*exp(c)*((4*(2*a^4*b*d*(2*a*b^2 + a^2*b + b^3)^(1/2) + 2*a^2*b^3*d*(2*a*b^2 + a^2*b + b^3)^(1/2) + 4*a^3*b^2*d*(2*a*b^2 + a^2*b + b^3)^(1/2)))/(a^11*d^2*(a + b)) + (2*(b^4*(a^5*d^2)^(1/2) + 3*a^2*b^2*(a^5*d^2)^(1/2) + 3*a*b^3*(a^5*d^2)^(1/2) + a^3*b*(a^5*d^2)^(1/2)))/(a^8*d*(b*(a + b)^2)^(1/2)*(a^5*d^2)^(1/2)))*(a^5*d^2)^(1/2))/(8*a*b^2 + 4*a^2*b + 4*b^3) + (2*exp(3*c)*exp(3*d*x)*(b^4*(a^5*d^2)^(1/2) + 3*a^2*b^2*(a^5*d^2)^(1/2) + 3*a*b^3*(a^5*d^2)^(1/2) + a^3*b*(a^5*d^2)^(1/2)))/(a^2*d*(b*(a + b)^2)^(1/2)*(8*a*b^2 + 4*a^2*b + 4*b^3))) - 2*atan((exp(d*x)*exp(c)*(a + b)*(a^5*d^2)^(1/2))/(2*a^2*d*(b*(a + b)^2)^(1/2))))*(2*a*b^2 + a^2*b + b^3)^(1/2))/(2*(a^5*d^2)^(1/2)) + exp(3*c + 3*d*x)/(24*a*d) - (exp(c + d*x)*(3*a + 4*b))/(8*a^2*d) - (exp(- c - d*x)*(3*a + 4*b))/(8*a^2*d)","B"
27,1,276,75,2.028896,"\text{Not used}","int(sinh(c + d*x)^2/(a + b/cosh(c + d*x)^2),x)","\frac{{\mathrm{e}}^{2\,c+2\,d\,x}}{8\,a\,d}-\frac{{\mathrm{e}}^{-2\,c-2\,d\,x}}{8\,a\,d}-\frac{x\,\left(a+2\,b\right)}{2\,a^2}-\frac{\sqrt{b}\,\ln\left(2\,a\,b+a^2+a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+8\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-2\,a\,\sqrt{b}\,\sqrt{a+b}-8\,b^{3/2}\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\sqrt{a+b}+8\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}-4\,a\,\sqrt{b}\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\sqrt{a+b}\right)\,\sqrt{a+b}}{2\,a^2\,d}+\frac{\sqrt{b}\,\ln\left(2\,a\,b+a^2+a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+8\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+2\,a\,\sqrt{b}\,\sqrt{a+b}+8\,b^{3/2}\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\sqrt{a+b}+8\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}+4\,a\,\sqrt{b}\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\sqrt{a+b}\right)\,\sqrt{a+b}}{2\,a^2\,d}","Not used",1,"exp(2*c + 2*d*x)/(8*a*d) - exp(- 2*c - 2*d*x)/(8*a*d) - (x*(a + 2*b))/(2*a^2) - (b^(1/2)*log(2*a*b + a^2 + a^2*exp(2*c + 2*d*x) + 8*b^2*exp(2*c + 2*d*x) - 2*a*b^(1/2)*(a + b)^(1/2) - 8*b^(3/2)*exp(2*c + 2*d*x)*(a + b)^(1/2) + 8*a*b*exp(2*c + 2*d*x) - 4*a*b^(1/2)*exp(2*c + 2*d*x)*(a + b)^(1/2))*(a + b)^(1/2))/(2*a^2*d) + (b^(1/2)*log(2*a*b + a^2 + a^2*exp(2*c + 2*d*x) + 8*b^2*exp(2*c + 2*d*x) + 2*a*b^(1/2)*(a + b)^(1/2) + 8*b^(3/2)*exp(2*c + 2*d*x)*(a + b)^(1/2) + 8*a*b*exp(2*c + 2*d*x) + 4*a*b^(1/2)*exp(2*c + 2*d*x)*(a + b)^(1/2))*(a + b)^(1/2))/(2*a^2*d)","B"
28,1,42,47,0.144637,"\text{Not used}","int(sinh(c + d*x)/(a + b/cosh(c + d*x)^2),x)","\frac{\mathrm{cosh}\left(c+d\,x\right)}{a\,d}-\frac{b\,\mathrm{atan}\left(\frac{a\,\mathrm{cosh}\left(c+d\,x\right)}{\sqrt{a\,b}}\right)}{a\,d\,\sqrt{a\,b}}","Not used",1,"cosh(c + d*x)/(a*d) - (b*atan((a*cosh(c + d*x))/(a*b)^(1/2)))/(a*d*(a*b)^(1/2))","B"
29,1,616,55,2.180809,"\text{Not used}","int(1/(sinh(c + d*x)*(a + b/cosh(c + d*x)^2)),x)","-\frac{2\,\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(b^4\,\sqrt{-a^2\,d^2-2\,a\,b\,d^2-b^2\,d^2}+16\,a^2\,b^2\,\sqrt{-a^2\,d^2-2\,a\,b\,d^2-b^2\,d^2}+8\,a\,b^3\,\sqrt{-a^2\,d^2-2\,a\,b\,d^2-b^2\,d^2}\right)}{16\,d\,a^3\,b^2+24\,d\,a^2\,b^3+9\,d\,a\,b^4+d\,b^5}\right)}{\sqrt{-a^2\,d^2-2\,a\,b\,d^2-b^2\,d^2}}-\frac{\sqrt{b}\,\left(2\,\mathrm{atan}\left(\frac{\left({\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(\frac{64\,\left(2\,b^{7/2}\,d+8\,a^2\,b^{3/2}\,d+10\,a\,b^{5/2}\,d\right)}{a^5\,\left(a+b\right)\,\sqrt{a\,d^2\,{\left(a+b\right)}^2}\,\sqrt{a^3\,d^2+2\,a^2\,b\,d^2+a\,b^2\,d^2}}+\frac{32\,\left(b^2\,\sqrt{a^3\,d^2+2\,a^2\,b\,d^2+a\,b^2\,d^2}+4\,a\,b\,\sqrt{a^3\,d^2+2\,a^2\,b\,d^2+a\,b^2\,d^2}\right)}{a^5\,\sqrt{b}\,d\,{\left(a+b\right)}^2\,\sqrt{a^3\,d^2+2\,a^2\,b\,d^2+a\,b^2\,d^2}}\right)+\frac{32\,{\mathrm{e}}^{3\,c}\,{\mathrm{e}}^{3\,d\,x}\,\left(b^2\,\sqrt{a^3\,d^2+2\,a^2\,b\,d^2+a\,b^2\,d^2}+4\,a\,b\,\sqrt{a^3\,d^2+2\,a^2\,b\,d^2+a\,b^2\,d^2}\right)}{a^5\,\sqrt{b}\,d\,{\left(a+b\right)}^2\,\sqrt{a^3\,d^2+2\,a^2\,b\,d^2+a\,b^2\,d^2}}\right)\,\left(a^6\,\sqrt{a^3\,d^2+2\,a^2\,b\,d^2+a\,b^2\,d^2}+a^5\,b\,\sqrt{a^3\,d^2+2\,a^2\,b\,d^2+a\,b^2\,d^2}\right)}{64\,b^2+256\,a\,b}\right)-2\,\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\sqrt{a\,d^2\,{\left(a+b\right)}^2}}{2\,\sqrt{b}\,d\,\left(a+b\right)}\right)\right)}{2\,\sqrt{a^3\,d^2+2\,a^2\,b\,d^2+a\,b^2\,d^2}}","Not used",1,"- (2*atan((exp(d*x)*exp(c)*(b^4*(- a^2*d^2 - b^2*d^2 - 2*a*b*d^2)^(1/2) + 16*a^2*b^2*(- a^2*d^2 - b^2*d^2 - 2*a*b*d^2)^(1/2) + 8*a*b^3*(- a^2*d^2 - b^2*d^2 - 2*a*b*d^2)^(1/2)))/(b^5*d + 24*a^2*b^3*d + 16*a^3*b^2*d + 9*a*b^4*d)))/(- a^2*d^2 - b^2*d^2 - 2*a*b*d^2)^(1/2) - (b^(1/2)*(2*atan(((exp(d*x)*exp(c)*((64*(2*b^(7/2)*d + 8*a^2*b^(3/2)*d + 10*a*b^(5/2)*d))/(a^5*(a + b)*(a*d^2*(a + b)^2)^(1/2)*(a^3*d^2 + a*b^2*d^2 + 2*a^2*b*d^2)^(1/2)) + (32*(b^2*(a^3*d^2 + a*b^2*d^2 + 2*a^2*b*d^2)^(1/2) + 4*a*b*(a^3*d^2 + a*b^2*d^2 + 2*a^2*b*d^2)^(1/2)))/(a^5*b^(1/2)*d*(a + b)^2*(a^3*d^2 + a*b^2*d^2 + 2*a^2*b*d^2)^(1/2))) + (32*exp(3*c)*exp(3*d*x)*(b^2*(a^3*d^2 + a*b^2*d^2 + 2*a^2*b*d^2)^(1/2) + 4*a*b*(a^3*d^2 + a*b^2*d^2 + 2*a^2*b*d^2)^(1/2)))/(a^5*b^(1/2)*d*(a + b)^2*(a^3*d^2 + a*b^2*d^2 + 2*a^2*b*d^2)^(1/2)))*(a^6*(a^3*d^2 + a*b^2*d^2 + 2*a^2*b*d^2)^(1/2) + a^5*b*(a^3*d^2 + a*b^2*d^2 + 2*a^2*b*d^2)^(1/2)))/(256*a*b + 64*b^2)) - 2*atan((exp(d*x)*exp(c)*(a*d^2*(a + b)^2)^(1/2))/(2*b^(1/2)*d*(a + b)))))/(2*(a^3*d^2 + a*b^2*d^2 + 2*a^2*b*d^2)^(1/2))","B"
30,1,847,53,2.467092,"\text{Not used}","int(1/(sinh(c + d*x)^2*(a + b/cosh(c + d*x)^2)),x)","-\frac{2}{\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)\,\left(a\,d+b\,d\right)}-\frac{\sqrt{b}\,\mathrm{atan}\left(\frac{\left({\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\,\left(\frac{2\,\left(8\,b^{5/2}\,\sqrt{-a^3\,d^2-3\,a^2\,b\,d^2-3\,a\,b^2\,d^2-b^3\,d^2}+8\,a\,b^{3/2}\,\sqrt{-a^3\,d^2-3\,a^2\,b\,d^2-3\,a\,b^2\,d^2-b^3\,d^2}+a^2\,\sqrt{b}\,\sqrt{-a^3\,d^2-3\,a^2\,b\,d^2-3\,a\,b^2\,d^2-b^3\,d^2}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{a^5\,d\,{\left(a+b\right)}^3\,\left(a^2+2\,a\,b+b^2\right)\,\sqrt{-a^3\,d^2-3\,a^2\,b\,d^2-3\,a\,b^2\,d^2-b^3\,d^2}}+\frac{4\,\sqrt{b}\,\left(2\,a+4\,b\right)\,\left(4\,d\,a^3\,b+16\,d\,a^2\,b^2+20\,d\,a\,b^3+8\,d\,b^4\right)}{a^5\,\left(a+b\right)\,\sqrt{-d^2\,{\left(a+b\right)}^3}\,\left(a^2+2\,a\,b+b^2\right)\,\sqrt{-a^3\,d^2-3\,a^2\,b\,d^2-3\,a\,b^2\,d^2-b^3\,d^2}}\right)+\frac{2\,\left(2\,a\,b^{3/2}\,\sqrt{-a^3\,d^2-3\,a^2\,b\,d^2-3\,a\,b^2\,d^2-b^3\,d^2}+a^2\,\sqrt{b}\,\sqrt{-a^3\,d^2-3\,a^2\,b\,d^2-3\,a\,b^2\,d^2-b^3\,d^2}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{a^5\,d\,{\left(a+b\right)}^3\,\left(a^2+2\,a\,b+b^2\right)\,\sqrt{-a^3\,d^2-3\,a^2\,b\,d^2-3\,a\,b^2\,d^2-b^3\,d^2}}+\frac{4\,\sqrt{b}\,\left(2\,a+4\,b\right)\,\left(2\,d\,a^3\,b+4\,d\,a^2\,b^2+2\,d\,a\,b^3\right)}{a^5\,\left(a+b\right)\,\sqrt{-d^2\,{\left(a+b\right)}^3}\,\left(a^2+2\,a\,b+b^2\right)\,\sqrt{-a^3\,d^2-3\,a^2\,b\,d^2-3\,a\,b^2\,d^2-b^3\,d^2}}\right)\,\left(a^5\,\sqrt{-a^3\,d^2-3\,a^2\,b\,d^2-3\,a\,b^2\,d^2-b^3\,d^2}+3\,a^4\,b\,\sqrt{-a^3\,d^2-3\,a^2\,b\,d^2-3\,a\,b^2\,d^2-b^3\,d^2}+a^2\,b^3\,\sqrt{-a^3\,d^2-3\,a^2\,b\,d^2-3\,a\,b^2\,d^2-b^3\,d^2}+3\,a^3\,b^2\,\sqrt{-a^3\,d^2-3\,a^2\,b\,d^2-3\,a\,b^2\,d^2-b^3\,d^2}\right)}{4\,b}\right)}{\sqrt{-a^3\,d^2-3\,a^2\,b\,d^2-3\,a\,b^2\,d^2-b^3\,d^2}}","Not used",1,"- 2/((exp(2*c + 2*d*x) - 1)*(a*d + b*d)) - (b^(1/2)*atan(((exp(2*c)*exp(2*d*x)*((2*(8*b^(5/2)*(- a^3*d^2 - b^3*d^2 - 3*a*b^2*d^2 - 3*a^2*b*d^2)^(1/2) + 8*a*b^(3/2)*(- a^3*d^2 - b^3*d^2 - 3*a*b^2*d^2 - 3*a^2*b*d^2)^(1/2) + a^2*b^(1/2)*(- a^3*d^2 - b^3*d^2 - 3*a*b^2*d^2 - 3*a^2*b*d^2)^(1/2))*(8*a*b + a^2 + 8*b^2))/(a^5*d*(a + b)^3*(2*a*b + a^2 + b^2)*(- a^3*d^2 - b^3*d^2 - 3*a*b^2*d^2 - 3*a^2*b*d^2)^(1/2)) + (4*b^(1/2)*(2*a + 4*b)*(8*b^4*d + 16*a^2*b^2*d + 20*a*b^3*d + 4*a^3*b*d))/(a^5*(a + b)*(-d^2*(a + b)^3)^(1/2)*(2*a*b + a^2 + b^2)*(- a^3*d^2 - b^3*d^2 - 3*a*b^2*d^2 - 3*a^2*b*d^2)^(1/2))) + (2*(2*a*b^(3/2)*(- a^3*d^2 - b^3*d^2 - 3*a*b^2*d^2 - 3*a^2*b*d^2)^(1/2) + a^2*b^(1/2)*(- a^3*d^2 - b^3*d^2 - 3*a*b^2*d^2 - 3*a^2*b*d^2)^(1/2))*(8*a*b + a^2 + 8*b^2))/(a^5*d*(a + b)^3*(2*a*b + a^2 + b^2)*(- a^3*d^2 - b^3*d^2 - 3*a*b^2*d^2 - 3*a^2*b*d^2)^(1/2)) + (4*b^(1/2)*(2*a + 4*b)*(4*a^2*b^2*d + 2*a*b^3*d + 2*a^3*b*d))/(a^5*(a + b)*(-d^2*(a + b)^3)^(1/2)*(2*a*b + a^2 + b^2)*(- a^3*d^2 - b^3*d^2 - 3*a*b^2*d^2 - 3*a^2*b*d^2)^(1/2)))*(a^5*(- a^3*d^2 - b^3*d^2 - 3*a*b^2*d^2 - 3*a^2*b*d^2)^(1/2) + 3*a^4*b*(- a^3*d^2 - b^3*d^2 - 3*a*b^2*d^2 - 3*a^2*b*d^2)^(1/2) + a^2*b^3*(- a^3*d^2 - b^3*d^2 - 3*a*b^2*d^2 - 3*a^2*b*d^2)^(1/2) + 3*a^3*b^2*(- a^3*d^2 - b^3*d^2 - 3*a*b^2*d^2 - 3*a^2*b*d^2)^(1/2)))/(4*b)))/(- a^3*d^2 - b^3*d^2 - 3*a*b^2*d^2 - 3*a^2*b*d^2)^(1/2)","B"
31,1,1586,87,3.070065,"\text{Not used}","int(1/(sinh(c + d*x)^3*(a + b/cosh(c + d*x)^2)),x)","\frac{\sqrt{a\,b}\,\left(2\,\mathrm{atan}\left(\frac{\left({\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(\frac{64\,\left(2\,b^5\,d\,\sqrt{a\,b}+2\,a\,b^4\,d\,\sqrt{a\,b}+2\,a^4\,b\,d\,\sqrt{a\,b}+2\,a^3\,b^2\,d\,\sqrt{a\,b}\right)}{a^4\,{\left(a+b\right)}^3\,\sqrt{d^2\,{\left(a+b\right)}^4}\,\left(a^2+2\,a\,b+b^2\right)\,\sqrt{a^4\,d^2+4\,a^3\,b\,d^2+6\,a^2\,b^2\,d^2+4\,a\,b^3\,d^2+b^4\,d^2}}+\frac{32\,\left(a\,b^3\,\sqrt{a^4\,d^2+4\,a^3\,b\,d^2+6\,a^2\,b^2\,d^2+4\,a\,b^3\,d^2+b^4\,d^2}+a^3\,b\,\sqrt{a^4\,d^2+4\,a^3\,b\,d^2+6\,a^2\,b^2\,d^2+4\,a\,b^3\,d^2+b^4\,d^2}-a^2\,b^2\,\sqrt{a^4\,d^2+4\,a^3\,b\,d^2+6\,a^2\,b^2\,d^2+4\,a\,b^3\,d^2+b^4\,d^2}\right)}{a^3\,d\,\sqrt{a\,b}\,{\left(a+b\right)}^5\,\left(a^2+2\,a\,b+b^2\right)\,\sqrt{a^4\,d^2+4\,a^3\,b\,d^2+6\,a^2\,b^2\,d^2+4\,a\,b^3\,d^2+b^4\,d^2}}\right)+\frac{32\,{\mathrm{e}}^{3\,c}\,{\mathrm{e}}^{3\,d\,x}\,\left(a\,b^3\,\sqrt{a^4\,d^2+4\,a^3\,b\,d^2+6\,a^2\,b^2\,d^2+4\,a\,b^3\,d^2+b^4\,d^2}+a^3\,b\,\sqrt{a^4\,d^2+4\,a^3\,b\,d^2+6\,a^2\,b^2\,d^2+4\,a\,b^3\,d^2+b^4\,d^2}-a^2\,b^2\,\sqrt{a^4\,d^2+4\,a^3\,b\,d^2+6\,a^2\,b^2\,d^2+4\,a\,b^3\,d^2+b^4\,d^2}\right)}{a^3\,d\,\sqrt{a\,b}\,{\left(a+b\right)}^5\,\left(a^2+2\,a\,b+b^2\right)\,\sqrt{a^4\,d^2+4\,a^3\,b\,d^2+6\,a^2\,b^2\,d^2+4\,a\,b^3\,d^2+b^4\,d^2}}\right)\,\left(a^8\,\sqrt{a^4\,d^2+4\,a^3\,b\,d^2+6\,a^2\,b^2\,d^2+4\,a\,b^3\,d^2+b^4\,d^2}+5\,a^7\,b\,\sqrt{a^4\,d^2+4\,a^3\,b\,d^2+6\,a^2\,b^2\,d^2+4\,a\,b^3\,d^2+b^4\,d^2}+a^3\,b^5\,\sqrt{a^4\,d^2+4\,a^3\,b\,d^2+6\,a^2\,b^2\,d^2+4\,a\,b^3\,d^2+b^4\,d^2}+5\,a^4\,b^4\,\sqrt{a^4\,d^2+4\,a^3\,b\,d^2+6\,a^2\,b^2\,d^2+4\,a\,b^3\,d^2+b^4\,d^2}+10\,a^5\,b^3\,\sqrt{a^4\,d^2+4\,a^3\,b\,d^2+6\,a^2\,b^2\,d^2+4\,a\,b^3\,d^2+b^4\,d^2}+10\,a^6\,b^2\,\sqrt{a^4\,d^2+4\,a^3\,b\,d^2+6\,a^2\,b^2\,d^2+4\,a\,b^3\,d^2+b^4\,d^2}\right)}{64\,a^2\,b-64\,a\,b^2+64\,b^3}\right)-2\,\mathrm{atan}\left(\frac{a\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\sqrt{d^2\,{\left(a+b\right)}^4}}{2\,d\,\sqrt{a\,b}\,{\left(a+b\right)}^2}\right)\right)}{2\,\sqrt{a^4\,d^2+4\,a^3\,b\,d^2+6\,a^2\,b^2\,d^2+4\,a\,b^3\,d^2+b^4\,d^2}}-\frac{{\mathrm{e}}^{c+d\,x}}{\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)\,\left(a\,d+b\,d\right)}-\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(b^7\,\sqrt{-a^4\,d^2-4\,a^3\,b\,d^2-6\,a^2\,b^2\,d^2-4\,a\,b^3\,d^2-b^4\,d^2}-3\,a\,b^6\,\sqrt{-a^4\,d^2-4\,a^3\,b\,d^2-6\,a^2\,b^2\,d^2-4\,a\,b^3\,d^2-b^4\,d^2}+5\,a^2\,b^5\,\sqrt{-a^4\,d^2-4\,a^3\,b\,d^2-6\,a^2\,b^2\,d^2-4\,a\,b^3\,d^2-b^4\,d^2}-5\,a^3\,b^4\,\sqrt{-a^4\,d^2-4\,a^3\,b\,d^2-6\,a^2\,b^2\,d^2-4\,a\,b^3\,d^2-b^4\,d^2}+3\,a^4\,b^3\,\sqrt{-a^4\,d^2-4\,a^3\,b\,d^2-6\,a^2\,b^2\,d^2-4\,a\,b^3\,d^2-b^4\,d^2}-a^5\,b^2\,\sqrt{-a^4\,d^2-4\,a^3\,b\,d^2-6\,a^2\,b^2\,d^2-4\,a\,b^3\,d^2-b^4\,d^2}\right)}{b^8\,d\,\sqrt{a^2-2\,a\,b+b^2}+2\,a^3\,b^5\,d\,\sqrt{a^2-2\,a\,b+b^2}+a^6\,b^2\,d\,\sqrt{a^2-2\,a\,b+b^2}}\right)\,\sqrt{a^2-2\,a\,b+b^2}}{\sqrt{-a^4\,d^2-4\,a^3\,b\,d^2-6\,a^2\,b^2\,d^2-4\,a\,b^3\,d^2-b^4\,d^2}}-\frac{2\,{\mathrm{e}}^{c+d\,x}}{\left(a\,d+b\,d\right)\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"((a*b)^(1/2)*(2*atan(((exp(d*x)*exp(c)*((64*(2*b^5*d*(a*b)^(1/2) + 2*a*b^4*d*(a*b)^(1/2) + 2*a^4*b*d*(a*b)^(1/2) + 2*a^3*b^2*d*(a*b)^(1/2)))/(a^4*(a + b)^3*(d^2*(a + b)^4)^(1/2)*(2*a*b + a^2 + b^2)*(a^4*d^2 + b^4*d^2 + 4*a*b^3*d^2 + 4*a^3*b*d^2 + 6*a^2*b^2*d^2)^(1/2)) + (32*(a*b^3*(a^4*d^2 + b^4*d^2 + 4*a*b^3*d^2 + 4*a^3*b*d^2 + 6*a^2*b^2*d^2)^(1/2) + a^3*b*(a^4*d^2 + b^4*d^2 + 4*a*b^3*d^2 + 4*a^3*b*d^2 + 6*a^2*b^2*d^2)^(1/2) - a^2*b^2*(a^4*d^2 + b^4*d^2 + 4*a*b^3*d^2 + 4*a^3*b*d^2 + 6*a^2*b^2*d^2)^(1/2)))/(a^3*d*(a*b)^(1/2)*(a + b)^5*(2*a*b + a^2 + b^2)*(a^4*d^2 + b^4*d^2 + 4*a*b^3*d^2 + 4*a^3*b*d^2 + 6*a^2*b^2*d^2)^(1/2))) + (32*exp(3*c)*exp(3*d*x)*(a*b^3*(a^4*d^2 + b^4*d^2 + 4*a*b^3*d^2 + 4*a^3*b*d^2 + 6*a^2*b^2*d^2)^(1/2) + a^3*b*(a^4*d^2 + b^4*d^2 + 4*a*b^3*d^2 + 4*a^3*b*d^2 + 6*a^2*b^2*d^2)^(1/2) - a^2*b^2*(a^4*d^2 + b^4*d^2 + 4*a*b^3*d^2 + 4*a^3*b*d^2 + 6*a^2*b^2*d^2)^(1/2)))/(a^3*d*(a*b)^(1/2)*(a + b)^5*(2*a*b + a^2 + b^2)*(a^4*d^2 + b^4*d^2 + 4*a*b^3*d^2 + 4*a^3*b*d^2 + 6*a^2*b^2*d^2)^(1/2)))*(a^8*(a^4*d^2 + b^4*d^2 + 4*a*b^3*d^2 + 4*a^3*b*d^2 + 6*a^2*b^2*d^2)^(1/2) + 5*a^7*b*(a^4*d^2 + b^4*d^2 + 4*a*b^3*d^2 + 4*a^3*b*d^2 + 6*a^2*b^2*d^2)^(1/2) + a^3*b^5*(a^4*d^2 + b^4*d^2 + 4*a*b^3*d^2 + 4*a^3*b*d^2 + 6*a^2*b^2*d^2)^(1/2) + 5*a^4*b^4*(a^4*d^2 + b^4*d^2 + 4*a*b^3*d^2 + 4*a^3*b*d^2 + 6*a^2*b^2*d^2)^(1/2) + 10*a^5*b^3*(a^4*d^2 + b^4*d^2 + 4*a*b^3*d^2 + 4*a^3*b*d^2 + 6*a^2*b^2*d^2)^(1/2) + 10*a^6*b^2*(a^4*d^2 + b^4*d^2 + 4*a*b^3*d^2 + 4*a^3*b*d^2 + 6*a^2*b^2*d^2)^(1/2)))/(64*a^2*b - 64*a*b^2 + 64*b^3)) - 2*atan((a*exp(d*x)*exp(c)*(d^2*(a + b)^4)^(1/2))/(2*d*(a*b)^(1/2)*(a + b)^2))))/(2*(a^4*d^2 + b^4*d^2 + 4*a*b^3*d^2 + 4*a^3*b*d^2 + 6*a^2*b^2*d^2)^(1/2)) - exp(c + d*x)/((exp(2*c + 2*d*x) - 1)*(a*d + b*d)) - (atan((exp(d*x)*exp(c)*(b^7*(- a^4*d^2 - b^4*d^2 - 4*a*b^3*d^2 - 4*a^3*b*d^2 - 6*a^2*b^2*d^2)^(1/2) - 3*a*b^6*(- a^4*d^2 - b^4*d^2 - 4*a*b^3*d^2 - 4*a^3*b*d^2 - 6*a^2*b^2*d^2)^(1/2) + 5*a^2*b^5*(- a^4*d^2 - b^4*d^2 - 4*a*b^3*d^2 - 4*a^3*b*d^2 - 6*a^2*b^2*d^2)^(1/2) - 5*a^3*b^4*(- a^4*d^2 - b^4*d^2 - 4*a*b^3*d^2 - 4*a^3*b*d^2 - 6*a^2*b^2*d^2)^(1/2) + 3*a^4*b^3*(- a^4*d^2 - b^4*d^2 - 4*a*b^3*d^2 - 4*a^3*b*d^2 - 6*a^2*b^2*d^2)^(1/2) - a^5*b^2*(- a^4*d^2 - b^4*d^2 - 4*a*b^3*d^2 - 4*a^3*b*d^2 - 6*a^2*b^2*d^2)^(1/2)))/(b^8*d*(a^2 - 2*a*b + b^2)^(1/2) + 2*a^3*b^5*d*(a^2 - 2*a*b + b^2)^(1/2) + a^6*b^2*d*(a^2 - 2*a*b + b^2)^(1/2)))*(a^2 - 2*a*b + b^2)^(1/2))/(- a^4*d^2 - b^4*d^2 - 4*a*b^3*d^2 - 4*a^3*b*d^2 - 6*a^2*b^2*d^2)^(1/2) - (2*exp(c + d*x))/((a*d + b*d)*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1))","B"
32,1,248,75,2.170197,"\text{Not used}","int(1/(sinh(c + d*x)^4*(a + b/cosh(c + d*x)^2)),x)","\frac{a\,\sqrt{b}\,\ln\left(\frac{4\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}}{{\left(a+b\right)}^2}-\frac{2\,\sqrt{b}\,\left(a+a\,{\mathrm{e}}^{2\,c+2\,d\,x}+2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{{\left(a+b\right)}^{5/2}}\right)}{2\,d\,{\left(a+b\right)}^{5/2}}-\frac{8}{3\,\left(a\,d+b\,d\right)\,\left(3\,{\mathrm{e}}^{2\,c+2\,d\,x}-3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}-1\right)}-\frac{2\,b}{\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)\,\left(a+b\right)\,\left(a\,d+b\,d\right)}-\frac{4}{\left(a\,d+b\,d\right)\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{a\,\sqrt{b}\,\ln\left(\frac{4\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}}{{\left(a+b\right)}^2}+\frac{2\,\sqrt{b}\,\left(a+a\,{\mathrm{e}}^{2\,c+2\,d\,x}+2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{{\left(a+b\right)}^{5/2}}\right)}{2\,d\,{\left(a+b\right)}^{5/2}}","Not used",1,"(a*b^(1/2)*log((4*b*exp(2*c + 2*d*x))/(a + b)^2 - (2*b^(1/2)*(a + a*exp(2*c + 2*d*x) + 2*b*exp(2*c + 2*d*x)))/(a + b)^(5/2)))/(2*d*(a + b)^(5/2)) - 8/(3*(a*d + b*d)*(3*exp(2*c + 2*d*x) - 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) - 1)) - (2*b)/((exp(2*c + 2*d*x) - 1)*(a + b)*(a*d + b*d)) - 4/((a*d + b*d)*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) - (a*b^(1/2)*log((4*b*exp(2*c + 2*d*x))/(a + b)^2 + (2*b^(1/2)*(a + a*exp(2*c + 2*d*x) + 2*b*exp(2*c + 2*d*x)))/(a + b)^(5/2)))/(2*d*(a + b)^(5/2))","B"
33,0,-1,194,0.000000,"\text{Not used}","int(sinh(c + d*x)^4/(a + b/cosh(c + d*x)^2)^2,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^4\,{\mathrm{sinh}\left(c+d\,x\right)}^4}{{\left(a\,{\mathrm{cosh}\left(c+d\,x\right)}^2+b\right)}^2} \,d x","Not used",1,"int((cosh(c + d*x)^4*sinh(c + d*x)^4)/(b + a*cosh(c + d*x)^2)^2, x)","F"
34,0,-1,114,0.000000,"\text{Not used}","int(sinh(c + d*x)^3/(a + b/cosh(c + d*x)^2)^2,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^4\,{\mathrm{sinh}\left(c+d\,x\right)}^3}{{\left(a\,{\mathrm{cosh}\left(c+d\,x\right)}^2+b\right)}^2} \,d x","Not used",1,"int((cosh(c + d*x)^4*sinh(c + d*x)^3)/(b + a*cosh(c + d*x)^2)^2, x)","F"
35,0,-1,131,0.000000,"\text{Not used}","int(sinh(c + d*x)^2/(a + b/cosh(c + d*x)^2)^2,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^4\,{\mathrm{sinh}\left(c+d\,x\right)}^2}{{\left(a\,{\mathrm{cosh}\left(c+d\,x\right)}^2+b\right)}^2} \,d x","Not used",1,"int((cosh(c + d*x)^4*sinh(c + d*x)^2)/(b + a*cosh(c + d*x)^2)^2, x)","F"
36,1,71,84,1.645390,"\text{Not used}","int(sinh(c + d*x)/(a + b/cosh(c + d*x)^2)^2,x)","\frac{b\,\mathrm{cosh}\left(c+d\,x\right)}{2\,\left(d\,a^3\,{\mathrm{cosh}\left(c+d\,x\right)}^2+b\,d\,a^2\right)}+\frac{\mathrm{cosh}\left(c+d\,x\right)}{a^2\,d}-\frac{3\,\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{a}\,\mathrm{cosh}\left(c+d\,x\right)}{\sqrt{b}}\right)}{2\,a^{5/2}\,d}","Not used",1,"(b*cosh(c + d*x))/(2*(a^3*d*cosh(c + d*x)^2 + a^2*b*d)) + cosh(c + d*x)/(a^2*d) - (3*b^(1/2)*atan((a^(1/2)*cosh(c + d*x))/b^(1/2)))/(2*a^(5/2)*d)","B"
37,0,-1,99,0.000000,"\text{Not used}","int(1/(sinh(c + d*x)*(a + b/cosh(c + d*x)^2)^2),x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^4}{\mathrm{sinh}\left(c+d\,x\right)\,{\left(a\,{\mathrm{cosh}\left(c+d\,x\right)}^2+b\right)}^2} \,d x","Not used",1,"int(cosh(c + d*x)^4/(sinh(c + d*x)*(b + a*cosh(c + d*x)^2)^2), x)","F"
38,0,-1,92,0.000000,"\text{Not used}","int(1/(sinh(c + d*x)^2*(a + b/cosh(c + d*x)^2)^2),x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^4}{{\mathrm{sinh}\left(c+d\,x\right)}^2\,{\left(a\,{\mathrm{cosh}\left(c+d\,x\right)}^2+b\right)}^2} \,d x","Not used",1,"int(cosh(c + d*x)^4/(sinh(c + d*x)^2*(b + a*cosh(c + d*x)^2)^2), x)","F"
39,0,-1,147,0.000000,"\text{Not used}","int(1/(sinh(c + d*x)^3*(a + b/cosh(c + d*x)^2)^2),x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^4}{{\mathrm{sinh}\left(c+d\,x\right)}^3\,{\left(a\,{\mathrm{cosh}\left(c+d\,x\right)}^2+b\right)}^2} \,d x","Not used",1,"int(cosh(c + d*x)^4/(sinh(c + d*x)^3*(b + a*cosh(c + d*x)^2)^2), x)","F"
40,0,-1,123,0.000000,"\text{Not used}","int(1/(sinh(c + d*x)^4*(a + b/cosh(c + d*x)^2)^2),x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^4}{{\mathrm{sinh}\left(c+d\,x\right)}^4\,{\left(a\,{\mathrm{cosh}\left(c+d\,x\right)}^2+b\right)}^2} \,d x","Not used",1,"int(cosh(c + d*x)^4/(sinh(c + d*x)^4*(b + a*cosh(c + d*x)^2)^2), x)","F"
41,0,-1,242,0.000000,"\text{Not used}","int(sinh(c + d*x)^4/(a + b/cosh(c + d*x)^2)^3,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^6\,{\mathrm{sinh}\left(c+d\,x\right)}^4}{{\left(a\,{\mathrm{cosh}\left(c+d\,x\right)}^2+b\right)}^3} \,d x","Not used",1,"int((cosh(c + d*x)^6*sinh(c + d*x)^4)/(b + a*cosh(c + d*x)^2)^3, x)","F"
42,0,-1,154,0.000000,"\text{Not used}","int(sinh(c + d*x)^3/(a + b/cosh(c + d*x)^2)^3,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^6\,{\mathrm{sinh}\left(c+d\,x\right)}^3}{{\left(a\,{\mathrm{cosh}\left(c+d\,x\right)}^2+b\right)}^3} \,d x","Not used",1,"int((cosh(c + d*x)^6*sinh(c + d*x)^3)/(b + a*cosh(c + d*x)^2)^3, x)","F"
43,0,-1,187,0.000000,"\text{Not used}","int(sinh(c + d*x)^2/(a + b/cosh(c + d*x)^2)^3,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^6\,{\mathrm{sinh}\left(c+d\,x\right)}^2}{{\left(a\,{\mathrm{cosh}\left(c+d\,x\right)}^2+b\right)}^3} \,d x","Not used",1,"int((cosh(c + d*x)^6*sinh(c + d*x)^2)/(b + a*cosh(c + d*x)^2)^3, x)","F"
44,1,103,116,1.607478,"\text{Not used}","int(sinh(c + d*x)/(a + b/cosh(c + d*x)^2)^3,x)","\frac{\frac{7\,b^2\,\mathrm{cosh}\left(c+d\,x\right)}{8}+\frac{9\,a\,b\,{\mathrm{cosh}\left(c+d\,x\right)}^3}{8}}{d\,a^5\,{\mathrm{cosh}\left(c+d\,x\right)}^4+2\,d\,a^4\,b\,{\mathrm{cosh}\left(c+d\,x\right)}^2+d\,a^3\,b^2}+\frac{\mathrm{cosh}\left(c+d\,x\right)}{a^3\,d}-\frac{15\,\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{a}\,\mathrm{cosh}\left(c+d\,x\right)}{\sqrt{b}}\right)}{8\,a^{7/2}\,d}","Not used",1,"((7*b^2*cosh(c + d*x))/8 + (9*a*b*cosh(c + d*x)^3)/8)/(a^5*d*cosh(c + d*x)^4 + a^3*b^2*d + 2*a^4*b*d*cosh(c + d*x)^2) + cosh(c + d*x)/(a^3*d) - (15*b^(1/2)*atan((a^(1/2)*cosh(c + d*x))/b^(1/2)))/(8*a^(7/2)*d)","B"
45,0,-1,154,0.000000,"\text{Not used}","int(1/(sinh(c + d*x)*(a + b/cosh(c + d*x)^2)^3),x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^6}{\mathrm{sinh}\left(c+d\,x\right)\,{\left(a\,{\mathrm{cosh}\left(c+d\,x\right)}^2+b\right)}^3} \,d x","Not used",1,"int(cosh(c + d*x)^6/(sinh(c + d*x)*(b + a*cosh(c + d*x)^2)^3), x)","F"
46,0,-1,126,0.000000,"\text{Not used}","int(1/(sinh(c + d*x)^2*(a + b/cosh(c + d*x)^2)^3),x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^6}{{\mathrm{sinh}\left(c+d\,x\right)}^2\,{\left(a\,{\mathrm{cosh}\left(c+d\,x\right)}^2+b\right)}^3} \,d x","Not used",1,"int(cosh(c + d*x)^6/(sinh(c + d*x)^2*(b + a*cosh(c + d*x)^2)^3), x)","F"
47,0,-1,213,0.000000,"\text{Not used}","int(1/(sinh(c + d*x)^3*(a + b/cosh(c + d*x)^2)^3),x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^6}{{\mathrm{sinh}\left(c+d\,x\right)}^3\,{\left(a\,{\mathrm{cosh}\left(c+d\,x\right)}^2+b\right)}^3} \,d x","Not used",1,"int(cosh(c + d*x)^6/(sinh(c + d*x)^3*(b + a*cosh(c + d*x)^2)^3), x)","F"
48,0,-1,165,0.000000,"\text{Not used}","int(1/(sinh(c + d*x)^4*(a + b/cosh(c + d*x)^2)^3),x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^6}{{\mathrm{sinh}\left(c+d\,x\right)}^4\,{\left(a\,{\mathrm{cosh}\left(c+d\,x\right)}^2+b\right)}^3} \,d x","Not used",1,"int(cosh(c + d*x)^6/(sinh(c + d*x)^4*(b + a*cosh(c + d*x)^2)^3), x)","F"
49,1,50,61,0.129461,"\text{Not used}","int(cosh(c + d*x)^4*(a + b/cosh(c + d*x)^2),x)","\frac{\frac{a\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)}{4}+\frac{a\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)}{32}+\frac{b\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)}{4}}{d}+\frac{3\,a\,x}{8}+\frac{b\,x}{2}","Not used",1,"((a*sinh(2*c + 2*d*x))/4 + (a*sinh(4*c + 4*d*x))/32 + (b*sinh(2*c + 2*d*x))/4)/d + (3*a*x)/8 + (b*x)/2","B"
50,1,34,30,0.085421,"\text{Not used}","int(cosh(c + d*x)^3*(a + b/cosh(c + d*x)^2),x)","\frac{3\,a\,\mathrm{sinh}\left(c+d\,x\right)+3\,b\,\mathrm{sinh}\left(c+d\,x\right)+a\,{\mathrm{sinh}\left(c+d\,x\right)}^3}{3\,d}","Not used",1,"(3*a*sinh(c + d*x) + 3*b*sinh(c + d*x) + a*sinh(c + d*x)^3)/(3*d)","B"
51,1,23,31,0.077203,"\text{Not used}","int(cosh(c + d*x)^2*(a + b/cosh(c + d*x)^2),x)","\frac{a\,x}{2}+b\,x+\frac{a\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)}{4\,d}","Not used",1,"(a*x)/2 + b*x + (a*sinh(2*c + 2*d*x))/(4*d)","B"
52,1,62,24,1.435562,"\text{Not used}","int(cosh(c + d*x)*(a + b/cosh(c + d*x)^2),x)","\frac{2\,\mathrm{atan}\left(\frac{b\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\sqrt{d^2}}{d\,\sqrt{b^2}}\right)\,\sqrt{b^2}}{\sqrt{d^2}}-\frac{a\,{\mathrm{e}}^{-c-d\,x}}{2\,d}+\frac{a\,{\mathrm{e}}^{c+d\,x}}{2\,d}","Not used",1,"(2*atan((b*exp(d*x)*exp(c)*(d^2)^(1/2))/(d*(b^2)^(1/2)))*(b^2)^(1/2))/(d^2)^(1/2) - (a*exp(- c - d*x))/(2*d) + (a*exp(c + d*x))/(2*d)","B"
53,1,124,40,0.158909,"\text{Not used}","int((a + b/cosh(c + d*x)^2)/cosh(c + d*x),x)","\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(2\,a\,\sqrt{d^2}+b\,\sqrt{d^2}\right)}{d\,\sqrt{4\,a^2+4\,a\,b+b^2}}\right)\,\sqrt{4\,a^2+4\,a\,b+b^2}}{\sqrt{d^2}}+\frac{b\,{\mathrm{e}}^{c+d\,x}}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{2\,b\,{\mathrm{e}}^{c+d\,x}}{d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}","Not used",1,"(atan((exp(d*x)*exp(c)*(2*a*(d^2)^(1/2) + b*(d^2)^(1/2)))/(d*(4*a*b + 4*a^2 + b^2)^(1/2)))*(4*a*b + 4*a^2 + b^2)^(1/2))/(d^2)^(1/2) + (b*exp(c + d*x))/(d*(exp(2*c + 2*d*x) + 1)) - (2*b*exp(c + d*x))/(d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1))","B"
54,1,61,30,1.382416,"\text{Not used}","int((a + b/cosh(c + d*x)^2)/cosh(c + d*x)^2,x)","-\frac{2\,\left(3\,a+2\,b+6\,a\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,a\,{\mathrm{e}}^{4\,c+4\,d\,x}+6\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{3\,d\,{\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}^3}","Not used",1,"-(2*(3*a + 2*b + 6*a*exp(2*c + 2*d*x) + 3*a*exp(4*c + 4*d*x) + 6*b*exp(2*c + 2*d*x)))/(3*d*(exp(2*c + 2*d*x) + 1)^3)","B"
55,1,283,70,1.383317,"\text{Not used}","int((a + b/cosh(c + d*x)^2)/cosh(c + d*x)^3,x)","\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(4\,a\,\sqrt{d^2}+3\,b\,\sqrt{d^2}\right)}{d\,\sqrt{16\,a^2+24\,a\,b+9\,b^2}}\right)\,\sqrt{16\,a^2+24\,a\,b+9\,b^2}}{4\,\sqrt{d^2}}-\frac{\frac{a\,{\mathrm{e}}^{5\,c+5\,d\,x}}{d}+\frac{2\,{\mathrm{e}}^{3\,c+3\,d\,x}\,\left(a+2\,b\right)}{d}+\frac{a\,{\mathrm{e}}^{c+d\,x}}{d}}{4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1}-\frac{{\mathrm{e}}^{c+d\,x}\,\left(2\,a-b\right)}{2\,d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}-\frac{2\,b\,{\mathrm{e}}^{c+d\,x}}{d\,\left(3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1\right)}+\frac{{\mathrm{e}}^{c+d\,x}\,\left(4\,a+3\,b\right)}{4\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"(atan((exp(d*x)*exp(c)*(4*a*(d^2)^(1/2) + 3*b*(d^2)^(1/2)))/(d*(24*a*b + 16*a^2 + 9*b^2)^(1/2)))*(24*a*b + 16*a^2 + 9*b^2)^(1/2))/(4*(d^2)^(1/2)) - ((a*exp(5*c + 5*d*x))/d + (2*exp(3*c + 3*d*x)*(a + 2*b))/d + (a*exp(c + d*x))/d)/(4*exp(2*c + 2*d*x) + 6*exp(4*c + 4*d*x) + 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1) - (exp(c + d*x)*(2*a - b))/(2*d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1)) - (2*b*exp(c + d*x))/(d*(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1)) + (exp(c + d*x)*(4*a + 3*b))/(4*d*(exp(2*c + 2*d*x) + 1))","B"
56,1,292,50,1.434534,"\text{Not used}","int((a + b/cosh(c + d*x)^2)/cosh(c + d*x)^4,x)","-\frac{\frac{8\,\left(a+2\,b\right)}{15\,d}+\frac{4\,a\,{\mathrm{e}}^{2\,c+2\,d\,x}}{5\,d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1}-\frac{\frac{8\,a\,{\mathrm{e}}^{2\,c+2\,d\,x}}{5\,d}+\frac{8\,a\,{\mathrm{e}}^{6\,c+6\,d\,x}}{5\,d}+\frac{16\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(a+2\,b\right)}{5\,d}}{5\,{\mathrm{e}}^{2\,c+2\,d\,x}+10\,{\mathrm{e}}^{4\,c+4\,d\,x}+10\,{\mathrm{e}}^{6\,c+6\,d\,x}+5\,{\mathrm{e}}^{8\,c+8\,d\,x}+{\mathrm{e}}^{10\,c+10\,d\,x}+1}-\frac{\frac{2\,a}{5\,d}+\frac{6\,a\,{\mathrm{e}}^{4\,c+4\,d\,x}}{5\,d}+\frac{8\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a+2\,b\right)}{5\,d}}{4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1}-\frac{2\,a}{5\,d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}","Not used",1,"- ((8*(a + 2*b))/(15*d) + (4*a*exp(2*c + 2*d*x))/(5*d))/(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1) - ((8*a*exp(2*c + 2*d*x))/(5*d) + (8*a*exp(6*c + 6*d*x))/(5*d) + (16*exp(4*c + 4*d*x)*(a + 2*b))/(5*d))/(5*exp(2*c + 2*d*x) + 10*exp(4*c + 4*d*x) + 10*exp(6*c + 6*d*x) + 5*exp(8*c + 8*d*x) + exp(10*c + 10*d*x) + 1) - ((2*a)/(5*d) + (6*a*exp(4*c + 4*d*x))/(5*d) + (8*exp(2*c + 2*d*x)*(a + 2*b))/(5*d))/(4*exp(2*c + 2*d*x) + 6*exp(4*c + 4*d*x) + 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1) - (2*a)/(5*d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1))","B"
57,1,66,82,1.371492,"\text{Not used}","int(cosh(c + d*x)^4*(a + b/cosh(c + d*x)^2)^2,x)","\frac{3\,a^2\,x}{8}+b^2\,x+a\,b\,x+\frac{a^2\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)}{4\,d}+\frac{a^2\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)}{32\,d}+\frac{a\,b\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)}{2\,d}","Not used",1,"(3*a^2*x)/8 + b^2*x + a*b*x + (a^2*sinh(2*c + 2*d*x))/(4*d) + (a^2*sinh(4*c + 4*d*x))/(32*d) + (a*b*sinh(2*c + 2*d*x))/(2*d)","B"
58,1,114,49,0.166027,"\text{Not used}","int(cosh(c + d*x)^3*(a + b/cosh(c + d*x)^2)^2,x)","\frac{2\,\mathrm{atan}\left(\frac{b^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\sqrt{d^2}}{d\,\sqrt{b^4}}\right)\,\sqrt{b^4}}{\sqrt{d^2}}-\frac{{\mathrm{e}}^{-c-d\,x}\,\left(3\,a^2+8\,b\,a\right)}{8\,d}-\frac{a^2\,{\mathrm{e}}^{-3\,c-3\,d\,x}}{24\,d}+\frac{a^2\,{\mathrm{e}}^{3\,c+3\,d\,x}}{24\,d}+\frac{a\,{\mathrm{e}}^{c+d\,x}\,\left(3\,a+8\,b\right)}{8\,d}","Not used",1,"(2*atan((b^2*exp(d*x)*exp(c)*(d^2)^(1/2))/(d*(b^4)^(1/2)))*(b^4)^(1/2))/(d^2)^(1/2) - (exp(- c - d*x)*(8*a*b + 3*a^2))/(8*d) - (a^2*exp(- 3*c - 3*d*x))/(24*d) + (a^2*exp(3*c + 3*d*x))/(24*d) + (a*exp(c + d*x)*(3*a + 8*b))/(8*d)","B"
59,1,65,47,0.163825,"\text{Not used}","int(cosh(c + d*x)^2*(a + b/cosh(c + d*x)^2)^2,x)","\frac{a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}}{8\,d}-\frac{a^2\,{\mathrm{e}}^{-2\,c-2\,d\,x}}{8\,d}-\frac{2\,b^2}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}+\frac{a\,x\,\left(a+4\,b\right)}{2}","Not used",1,"(a^2*exp(2*c + 2*d*x))/(8*d) - (a^2*exp(- 2*c - 2*d*x))/(8*d) - (2*b^2)/(d*(exp(2*c + 2*d*x) + 1)) + (a*x*(a + 4*b))/2","B"
60,1,172,56,1.438843,"\text{Not used}","int(cosh(c + d*x)*(a + b/cosh(c + d*x)^2)^2,x)","\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(b^2\,\sqrt{d^2}+4\,a\,b\,\sqrt{d^2}\right)}{d\,\sqrt{16\,a^2\,b^2+8\,a\,b^3+b^4}}\right)\,\sqrt{16\,a^2\,b^2+8\,a\,b^3+b^4}}{\sqrt{d^2}}+\frac{a^2\,{\mathrm{e}}^{c+d\,x}}{2\,d}-\frac{a^2\,{\mathrm{e}}^{-c-d\,x}}{2\,d}+\frac{b^2\,{\mathrm{e}}^{c+d\,x}}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{2\,b^2\,{\mathrm{e}}^{c+d\,x}}{d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}","Not used",1,"(atan((exp(d*x)*exp(c)*(b^2*(d^2)^(1/2) + 4*a*b*(d^2)^(1/2)))/(d*(8*a*b^3 + b^4 + 16*a^2*b^2)^(1/2)))*(8*a*b^3 + b^4 + 16*a^2*b^2)^(1/2))/(d^2)^(1/2) + (a^2*exp(c + d*x))/(2*d) - (a^2*exp(- c - d*x))/(2*d) + (b^2*exp(c + d*x))/(d*(exp(2*c + 2*d*x) + 1)) - (2*b^2*exp(c + d*x))/(d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1))","B"
61,1,303,90,1.518418,"\text{Not used}","int((a + b/cosh(c + d*x)^2)^2/cosh(c + d*x),x)","\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(8\,a^2\,\sqrt{d^2}+3\,b^2\,\sqrt{d^2}+8\,a\,b\,\sqrt{d^2}\right)}{d\,\sqrt{64\,a^4+128\,a^3\,b+112\,a^2\,b^2+48\,a\,b^3+9\,b^4}}\right)\,\sqrt{64\,a^4+128\,a^3\,b+112\,a^2\,b^2+48\,a\,b^3+9\,b^4}}{4\,\sqrt{d^2}}-\frac{6\,b^2\,{\mathrm{e}}^{c+d\,x}}{d\,\left(3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1\right)}+\frac{4\,b^2\,{\mathrm{e}}^{c+d\,x}}{d\,\left(4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1\right)}+\frac{{\mathrm{e}}^{c+d\,x}\,\left(3\,b^2+8\,a\,b\right)}{4\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{{\mathrm{e}}^{c+d\,x}\,\left(8\,a\,b-b^2\right)}{2\,d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}","Not used",1,"(atan((exp(d*x)*exp(c)*(8*a^2*(d^2)^(1/2) + 3*b^2*(d^2)^(1/2) + 8*a*b*(d^2)^(1/2)))/(d*(48*a*b^3 + 128*a^3*b + 64*a^4 + 9*b^4 + 112*a^2*b^2)^(1/2)))*(48*a*b^3 + 128*a^3*b + 64*a^4 + 9*b^4 + 112*a^2*b^2)^(1/2))/(4*(d^2)^(1/2)) - (6*b^2*exp(c + d*x))/(d*(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1)) + (4*b^2*exp(c + d*x))/(d*(4*exp(2*c + 2*d*x) + 6*exp(4*c + 4*d*x) + 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1)) + (exp(c + d*x)*(8*a*b + 3*b^2))/(4*d*(exp(2*c + 2*d*x) + 1)) - (exp(c + d*x)*(8*a*b - b^2))/(2*d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1))","B"
62,1,452,53,1.464823,"\text{Not used}","int((a + b/cosh(c + d*x)^2)^2/cosh(c + d*x)^2,x)","-\frac{\frac{2\,a\,\left(a+2\,b\right)}{5\,d}+\frac{2\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}}{5\,d}}{2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1}-\frac{\frac{2\,a^2}{5\,d}+\frac{2\,a^2\,{\mathrm{e}}^{8\,c+8\,d\,x}}{5\,d}+\frac{4\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(3\,a^2+8\,a\,b+8\,b^2\right)}{5\,d}+\frac{8\,a\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a+2\,b\right)}{5\,d}+\frac{8\,a\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(a+2\,b\right)}{5\,d}}{5\,{\mathrm{e}}^{2\,c+2\,d\,x}+10\,{\mathrm{e}}^{4\,c+4\,d\,x}+10\,{\mathrm{e}}^{6\,c+6\,d\,x}+5\,{\mathrm{e}}^{8\,c+8\,d\,x}+{\mathrm{e}}^{10\,c+10\,d\,x}+1}-\frac{\frac{2\,a\,\left(a+2\,b\right)}{5\,d}+\frac{2\,a^2\,{\mathrm{e}}^{6\,c+6\,d\,x}}{5\,d}+\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(3\,a^2+8\,a\,b+8\,b^2\right)}{5\,d}+\frac{6\,a\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(a+2\,b\right)}{5\,d}}{4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1}-\frac{\frac{2\,\left(3\,a^2+8\,a\,b+8\,b^2\right)}{15\,d}+\frac{2\,a^2\,{\mathrm{e}}^{4\,c+4\,d\,x}}{5\,d}+\frac{4\,a\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a+2\,b\right)}{5\,d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1}-\frac{2\,a^2}{5\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"- ((2*a*(a + 2*b))/(5*d) + (2*a^2*exp(2*c + 2*d*x))/(5*d))/(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1) - ((2*a^2)/(5*d) + (2*a^2*exp(8*c + 8*d*x))/(5*d) + (4*exp(4*c + 4*d*x)*(8*a*b + 3*a^2 + 8*b^2))/(5*d) + (8*a*exp(2*c + 2*d*x)*(a + 2*b))/(5*d) + (8*a*exp(6*c + 6*d*x)*(a + 2*b))/(5*d))/(5*exp(2*c + 2*d*x) + 10*exp(4*c + 4*d*x) + 10*exp(6*c + 6*d*x) + 5*exp(8*c + 8*d*x) + exp(10*c + 10*d*x) + 1) - ((2*a*(a + 2*b))/(5*d) + (2*a^2*exp(6*c + 6*d*x))/(5*d) + (2*exp(2*c + 2*d*x)*(8*a*b + 3*a^2 + 8*b^2))/(5*d) + (6*a*exp(4*c + 4*d*x)*(a + 2*b))/(5*d))/(4*exp(2*c + 2*d*x) + 6*exp(4*c + 4*d*x) + 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1) - ((2*(8*a*b + 3*a^2 + 8*b^2))/(15*d) + (2*a^2*exp(4*c + 4*d*x))/(5*d) + (4*a*exp(2*c + 2*d*x)*(a + 2*b))/(5*d))/(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1) - (2*a^2)/(5*d*(exp(2*c + 2*d*x) + 1))","B"
63,1,569,128,1.569980,"\text{Not used}","int((a + b/cosh(c + d*x)^2)^2/cosh(c + d*x)^3,x)","\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(8\,a^2\,\sqrt{d^2}+5\,b^2\,\sqrt{d^2}+12\,a\,b\,\sqrt{d^2}\right)}{d\,\sqrt{64\,a^4+192\,a^3\,b+224\,a^2\,b^2+120\,a\,b^3+25\,b^4}}\right)\,\sqrt{64\,a^4+192\,a^3\,b+224\,a^2\,b^2+120\,a\,b^3+25\,b^4}}{8\,\sqrt{d^2}}-\frac{\frac{2\,a^2\,{\mathrm{e}}^{c+d\,x}}{3\,d}+\frac{2\,a^2\,{\mathrm{e}}^{9\,c+9\,d\,x}}{3\,d}+\frac{4\,{\mathrm{e}}^{5\,c+5\,d\,x}\,\left(3\,a^2+8\,a\,b+8\,b^2\right)}{3\,d}+\frac{8\,a\,{\mathrm{e}}^{3\,c+3\,d\,x}\,\left(a+2\,b\right)}{3\,d}+\frac{8\,a\,{\mathrm{e}}^{7\,c+7\,d\,x}\,\left(a+2\,b\right)}{3\,d}}{6\,{\mathrm{e}}^{2\,c+2\,d\,x}+15\,{\mathrm{e}}^{4\,c+4\,d\,x}+20\,{\mathrm{e}}^{6\,c+6\,d\,x}+15\,{\mathrm{e}}^{8\,c+8\,d\,x}+6\,{\mathrm{e}}^{10\,c+10\,d\,x}+{\mathrm{e}}^{12\,c+12\,d\,x}+1}+\frac{2\,{\mathrm{e}}^{c+d\,x}\,\left(4\,a\,b-11\,b^2\right)}{3\,d\,\left(4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1\right)}+\frac{16\,b^2\,{\mathrm{e}}^{c+d\,x}}{3\,d\,\left(5\,{\mathrm{e}}^{2\,c+2\,d\,x}+10\,{\mathrm{e}}^{4\,c+4\,d\,x}+10\,{\mathrm{e}}^{6\,c+6\,d\,x}+5\,{\mathrm{e}}^{8\,c+8\,d\,x}+{\mathrm{e}}^{10\,c+10\,d\,x}+1\right)}+\frac{{\mathrm{e}}^{c+d\,x}\,\left(8\,a^2+12\,a\,b+5\,b^2\right)}{8\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}+\frac{{\mathrm{e}}^{c+d\,x}\,\left(-16\,a^2+12\,a\,b+5\,b^2\right)}{12\,d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}-\frac{{\mathrm{e}}^{c+d\,x}\,\left(20\,a\,b-b^2\right)}{3\,d\,\left(3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1\right)}","Not used",1,"(atan((exp(d*x)*exp(c)*(8*a^2*(d^2)^(1/2) + 5*b^2*(d^2)^(1/2) + 12*a*b*(d^2)^(1/2)))/(d*(120*a*b^3 + 192*a^3*b + 64*a^4 + 25*b^4 + 224*a^2*b^2)^(1/2)))*(120*a*b^3 + 192*a^3*b + 64*a^4 + 25*b^4 + 224*a^2*b^2)^(1/2))/(8*(d^2)^(1/2)) - ((2*a^2*exp(c + d*x))/(3*d) + (2*a^2*exp(9*c + 9*d*x))/(3*d) + (4*exp(5*c + 5*d*x)*(8*a*b + 3*a^2 + 8*b^2))/(3*d) + (8*a*exp(3*c + 3*d*x)*(a + 2*b))/(3*d) + (8*a*exp(7*c + 7*d*x)*(a + 2*b))/(3*d))/(6*exp(2*c + 2*d*x) + 15*exp(4*c + 4*d*x) + 20*exp(6*c + 6*d*x) + 15*exp(8*c + 8*d*x) + 6*exp(10*c + 10*d*x) + exp(12*c + 12*d*x) + 1) + (2*exp(c + d*x)*(4*a*b - 11*b^2))/(3*d*(4*exp(2*c + 2*d*x) + 6*exp(4*c + 4*d*x) + 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1)) + (16*b^2*exp(c + d*x))/(3*d*(5*exp(2*c + 2*d*x) + 10*exp(4*c + 4*d*x) + 10*exp(6*c + 6*d*x) + 5*exp(8*c + 8*d*x) + exp(10*c + 10*d*x) + 1)) + (exp(c + d*x)*(12*a*b + 8*a^2 + 5*b^2))/(8*d*(exp(2*c + 2*d*x) + 1)) + (exp(c + d*x)*(12*a*b - 16*a^2 + 5*b^2))/(12*d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1)) - (exp(c + d*x)*(20*a*b - b^2))/(3*d*(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1))","B"
64,1,692,80,1.416410,"\text{Not used}","int((a + b/cosh(c + d*x)^2)^2/cosh(c + d*x)^4,x)","-\frac{\frac{32\,a\,\left(a+2\,b\right)}{105\,d}+\frac{8\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}}{21\,d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1}-\frac{\frac{8\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}}{7\,d}+\frac{8\,a^2\,{\mathrm{e}}^{10\,c+10\,d\,x}}{7\,d}+\frac{16\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(3\,a^2+8\,a\,b+8\,b^2\right)}{7\,d}+\frac{32\,a\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(a+2\,b\right)}{7\,d}+\frac{32\,a\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(a+2\,b\right)}{7\,d}}{7\,{\mathrm{e}}^{2\,c+2\,d\,x}+21\,{\mathrm{e}}^{4\,c+4\,d\,x}+35\,{\mathrm{e}}^{6\,c+6\,d\,x}+35\,{\mathrm{e}}^{8\,c+8\,d\,x}+21\,{\mathrm{e}}^{10\,c+10\,d\,x}+7\,{\mathrm{e}}^{12\,c+12\,d\,x}+{\mathrm{e}}^{14\,c+14\,d\,x}+1}-\frac{\frac{4\,a^2}{21\,d}+\frac{20\,a^2\,{\mathrm{e}}^{8\,c+8\,d\,x}}{21\,d}+\frac{8\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(3\,a^2+8\,a\,b+8\,b^2\right)}{7\,d}+\frac{32\,a\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a+2\,b\right)}{21\,d}+\frac{64\,a\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(a+2\,b\right)}{21\,d}}{6\,{\mathrm{e}}^{2\,c+2\,d\,x}+15\,{\mathrm{e}}^{4\,c+4\,d\,x}+20\,{\mathrm{e}}^{6\,c+6\,d\,x}+15\,{\mathrm{e}}^{8\,c+8\,d\,x}+6\,{\mathrm{e}}^{10\,c+10\,d\,x}+{\mathrm{e}}^{12\,c+12\,d\,x}+1}-\frac{\frac{32\,a\,\left(a+2\,b\right)}{105\,d}+\frac{16\,a^2\,{\mathrm{e}}^{6\,c+6\,d\,x}}{21\,d}+\frac{16\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(3\,a^2+8\,a\,b+8\,b^2\right)}{35\,d}+\frac{64\,a\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(a+2\,b\right)}{35\,d}}{5\,{\mathrm{e}}^{2\,c+2\,d\,x}+10\,{\mathrm{e}}^{4\,c+4\,d\,x}+10\,{\mathrm{e}}^{6\,c+6\,d\,x}+5\,{\mathrm{e}}^{8\,c+8\,d\,x}+{\mathrm{e}}^{10\,c+10\,d\,x}+1}-\frac{\frac{4\,\left(3\,a^2+8\,a\,b+8\,b^2\right)}{35\,d}+\frac{4\,a^2\,{\mathrm{e}}^{4\,c+4\,d\,x}}{7\,d}+\frac{32\,a\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a+2\,b\right)}{35\,d}}{4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1}-\frac{4\,a^2}{21\,d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}","Not used",1,"- ((32*a*(a + 2*b))/(105*d) + (8*a^2*exp(2*c + 2*d*x))/(21*d))/(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1) - ((8*a^2*exp(2*c + 2*d*x))/(7*d) + (8*a^2*exp(10*c + 10*d*x))/(7*d) + (16*exp(6*c + 6*d*x)*(8*a*b + 3*a^2 + 8*b^2))/(7*d) + (32*a*exp(4*c + 4*d*x)*(a + 2*b))/(7*d) + (32*a*exp(8*c + 8*d*x)*(a + 2*b))/(7*d))/(7*exp(2*c + 2*d*x) + 21*exp(4*c + 4*d*x) + 35*exp(6*c + 6*d*x) + 35*exp(8*c + 8*d*x) + 21*exp(10*c + 10*d*x) + 7*exp(12*c + 12*d*x) + exp(14*c + 14*d*x) + 1) - ((4*a^2)/(21*d) + (20*a^2*exp(8*c + 8*d*x))/(21*d) + (8*exp(4*c + 4*d*x)*(8*a*b + 3*a^2 + 8*b^2))/(7*d) + (32*a*exp(2*c + 2*d*x)*(a + 2*b))/(21*d) + (64*a*exp(6*c + 6*d*x)*(a + 2*b))/(21*d))/(6*exp(2*c + 2*d*x) + 15*exp(4*c + 4*d*x) + 20*exp(6*c + 6*d*x) + 15*exp(8*c + 8*d*x) + 6*exp(10*c + 10*d*x) + exp(12*c + 12*d*x) + 1) - ((32*a*(a + 2*b))/(105*d) + (16*a^2*exp(6*c + 6*d*x))/(21*d) + (16*exp(2*c + 2*d*x)*(8*a*b + 3*a^2 + 8*b^2))/(35*d) + (64*a*exp(4*c + 4*d*x)*(a + 2*b))/(35*d))/(5*exp(2*c + 2*d*x) + 10*exp(4*c + 4*d*x) + 10*exp(6*c + 6*d*x) + 5*exp(8*c + 8*d*x) + exp(10*c + 10*d*x) + 1) - ((4*(8*a*b + 3*a^2 + 8*b^2))/(35*d) + (4*a^2*exp(4*c + 4*d*x))/(7*d) + (32*a*exp(2*c + 2*d*x)*(a + 2*b))/(35*d))/(4*exp(2*c + 2*d*x) + 6*exp(4*c + 4*d*x) + 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1) - (4*a^2)/(21*d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1))","B"
65,1,117,84,1.529113,"\text{Not used}","int(cosh(c + d*x)^4*(a + b/cosh(c + d*x)^2)^3,x)","\frac{3\,a\,x\,\left(a^2+4\,a\,b+8\,b^2\right)}{8}-\frac{2\,b^3}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{a^3\,{\mathrm{e}}^{-4\,c-4\,d\,x}}{64\,d}+\frac{a^3\,{\mathrm{e}}^{4\,c+4\,d\,x}}{64\,d}-\frac{a^2\,{\mathrm{e}}^{-2\,c-2\,d\,x}\,\left(a+3\,b\right)}{8\,d}+\frac{a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a+3\,b\right)}{8\,d}","Not used",1,"(3*a*x*(4*a*b + a^2 + 8*b^2))/8 - (2*b^3)/(d*(exp(2*c + 2*d*x) + 1)) - (a^3*exp(- 4*c - 4*d*x))/(64*d) + (a^3*exp(4*c + 4*d*x))/(64*d) - (a^2*exp(- 2*c - 2*d*x)*(a + 3*b))/(8*d) + (a^2*exp(2*c + 2*d*x)*(a + 3*b))/(8*d)","B"
66,1,218,81,0.222733,"\text{Not used}","int(cosh(c + d*x)^3*(a + b/cosh(c + d*x)^2)^3,x)","\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(b^3\,\sqrt{d^2}+6\,a\,b^2\,\sqrt{d^2}\right)}{d\,\sqrt{36\,a^2\,b^4+12\,a\,b^5+b^6}}\right)\,\sqrt{36\,a^2\,b^4+12\,a\,b^5+b^6}}{\sqrt{d^2}}-\frac{a^3\,{\mathrm{e}}^{-3\,c-3\,d\,x}}{24\,d}+\frac{a^3\,{\mathrm{e}}^{3\,c+3\,d\,x}}{24\,d}-\frac{3\,a^2\,{\mathrm{e}}^{-c-d\,x}\,\left(a+4\,b\right)}{8\,d}+\frac{3\,a^2\,{\mathrm{e}}^{c+d\,x}\,\left(a+4\,b\right)}{8\,d}+\frac{b^3\,{\mathrm{e}}^{c+d\,x}}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{2\,b^3\,{\mathrm{e}}^{c+d\,x}}{d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}","Not used",1,"(atan((exp(d*x)*exp(c)*(b^3*(d^2)^(1/2) + 6*a*b^2*(d^2)^(1/2)))/(d*(12*a*b^5 + b^6 + 36*a^2*b^4)^(1/2)))*(12*a*b^5 + b^6 + 36*a^2*b^4)^(1/2))/(d^2)^(1/2) - (a^3*exp(- 3*c - 3*d*x))/(24*d) + (a^3*exp(3*c + 3*d*x))/(24*d) - (3*a^2*exp(- c - d*x)*(a + 4*b))/(8*d) + (3*a^2*exp(c + d*x)*(a + 4*b))/(8*d) + (b^3*exp(c + d*x))/(d*(exp(2*c + 2*d*x) + 1)) - (2*b^3*exp(c + d*x))/(d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1))","B"
67,1,221,72,0.166946,"\text{Not used}","int(cosh(c + d*x)^2*(a + b/cosh(c + d*x)^2)^3,x)","\frac{a^2\,x\,\left(a+6\,b\right)}{2}-\frac{\frac{2\,a\,b^2}{d}+\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(2\,b^3+3\,a\,b^2\right)}{3\,d}+\frac{2\,a\,b^2\,{\mathrm{e}}^{4\,c+4\,d\,x}}{d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1}-\frac{\frac{2\,\left(2\,b^3+3\,a\,b^2\right)}{3\,d}+\frac{2\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}}{d}}{2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1}-\frac{a^3\,{\mathrm{e}}^{-2\,c-2\,d\,x}}{8\,d}+\frac{a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}}{8\,d}-\frac{2\,a\,b^2}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"(a^2*x*(a + 6*b))/2 - ((2*a*b^2)/d + (4*exp(2*c + 2*d*x)*(3*a*b^2 + 2*b^3))/(3*d) + (2*a*b^2*exp(4*c + 4*d*x))/d)/(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1) - ((2*(3*a*b^2 + 2*b^3))/(3*d) + (2*a*b^2*exp(2*c + 2*d*x))/d)/(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1) - (a^3*exp(- 2*c - 2*d*x))/(8*d) + (a^3*exp(2*c + 2*d*x))/(8*d) - (2*a*b^2)/(d*(exp(2*c + 2*d*x) + 1))","B"
68,1,344,93,0.190969,"\text{Not used}","int(cosh(c + d*x)*(a + b/cosh(c + d*x)^2)^3,x)","\frac{a^3\,{\mathrm{e}}^{c+d\,x}}{2\,d}-\frac{a^3\,{\mathrm{e}}^{-c-d\,x}}{2\,d}+\frac{3\,\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(b^3\,\sqrt{d^2}+4\,a\,b^2\,\sqrt{d^2}+8\,a^2\,b\,\sqrt{d^2}\right)}{d\,\sqrt{64\,a^4\,b^2+64\,a^3\,b^3+32\,a^2\,b^4+8\,a\,b^5+b^6}}\right)\,\sqrt{64\,a^4\,b^2+64\,a^3\,b^3+32\,a^2\,b^4+8\,a\,b^5+b^6}}{4\,\sqrt{d^2}}-\frac{6\,b^3\,{\mathrm{e}}^{c+d\,x}}{d\,\left(3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1\right)}-\frac{{\mathrm{e}}^{c+d\,x}\,\left(12\,a\,b^2-b^3\right)}{2\,d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}+\frac{4\,b^3\,{\mathrm{e}}^{c+d\,x}}{d\,\left(4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1\right)}+\frac{3\,{\mathrm{e}}^{c+d\,x}\,\left(b^3+4\,a\,b^2\right)}{4\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"(a^3*exp(c + d*x))/(2*d) - (a^3*exp(- c - d*x))/(2*d) + (3*atan((exp(d*x)*exp(c)*(b^3*(d^2)^(1/2) + 4*a*b^2*(d^2)^(1/2) + 8*a^2*b*(d^2)^(1/2)))/(d*(8*a*b^5 + b^6 + 32*a^2*b^4 + 64*a^3*b^3 + 64*a^4*b^2)^(1/2)))*(8*a*b^5 + b^6 + 32*a^2*b^4 + 64*a^3*b^3 + 64*a^4*b^2)^(1/2))/(4*(d^2)^(1/2)) - (6*b^3*exp(c + d*x))/(d*(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1)) - (exp(c + d*x)*(12*a*b^2 - b^3))/(2*d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1)) + (4*b^3*exp(c + d*x))/(d*(4*exp(2*c + 2*d*x) + 6*exp(4*c + 4*d*x) + 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1)) + (3*exp(c + d*x)*(4*a*b^2 + b^3))/(4*d*(exp(2*c + 2*d*x) + 1))","B"
69,1,535,147,1.471844,"\text{Not used}","int((a + b/cosh(c + d*x)^2)^3/cosh(c + d*x),x)","\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(16\,a^3\,\sqrt{d^2}+5\,b^3\,\sqrt{d^2}+18\,a\,b^2\,\sqrt{d^2}+24\,a^2\,b\,\sqrt{d^2}\right)}{d\,\sqrt{256\,a^6+768\,a^5\,b+1152\,a^4\,b^2+1024\,a^3\,b^3+564\,a^2\,b^4+180\,a\,b^5+25\,b^6}}\right)\,\sqrt{256\,a^6+768\,a^5\,b+1152\,a^4\,b^2+1024\,a^3\,b^3+564\,a^2\,b^4+180\,a\,b^5+25\,b^6}}{8\,\sqrt{d^2}}-\frac{{\mathrm{e}}^{c+d\,x}\,\left(54\,a\,b^2-b^3\right)}{3\,d\,\left(3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1\right)}+\frac{80\,b^3\,{\mathrm{e}}^{c+d\,x}}{3\,d\,\left(5\,{\mathrm{e}}^{2\,c+2\,d\,x}+10\,{\mathrm{e}}^{4\,c+4\,d\,x}+10\,{\mathrm{e}}^{6\,c+6\,d\,x}+5\,{\mathrm{e}}^{8\,c+8\,d\,x}+{\mathrm{e}}^{10\,c+10\,d\,x}+1\right)}+\frac{6\,{\mathrm{e}}^{c+d\,x}\,\left(2\,a\,b^2-3\,b^3\right)}{d\,\left(4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1\right)}-\frac{32\,b^3\,{\mathrm{e}}^{c+d\,x}}{3\,d\,\left(6\,{\mathrm{e}}^{2\,c+2\,d\,x}+15\,{\mathrm{e}}^{4\,c+4\,d\,x}+20\,{\mathrm{e}}^{6\,c+6\,d\,x}+15\,{\mathrm{e}}^{8\,c+8\,d\,x}+6\,{\mathrm{e}}^{10\,c+10\,d\,x}+{\mathrm{e}}^{12\,c+12\,d\,x}+1\right)}+\frac{{\mathrm{e}}^{c+d\,x}\,\left(24\,a^2\,b+18\,a\,b^2+5\,b^3\right)}{8\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}+\frac{{\mathrm{e}}^{c+d\,x}\,\left(-72\,a^2\,b+18\,a\,b^2+5\,b^3\right)}{12\,d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}","Not used",1,"(atan((exp(d*x)*exp(c)*(16*a^3*(d^2)^(1/2) + 5*b^3*(d^2)^(1/2) + 18*a*b^2*(d^2)^(1/2) + 24*a^2*b*(d^2)^(1/2)))/(d*(180*a*b^5 + 768*a^5*b + 256*a^6 + 25*b^6 + 564*a^2*b^4 + 1024*a^3*b^3 + 1152*a^4*b^2)^(1/2)))*(180*a*b^5 + 768*a^5*b + 256*a^6 + 25*b^6 + 564*a^2*b^4 + 1024*a^3*b^3 + 1152*a^4*b^2)^(1/2))/(8*(d^2)^(1/2)) - (exp(c + d*x)*(54*a*b^2 - b^3))/(3*d*(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1)) + (80*b^3*exp(c + d*x))/(3*d*(5*exp(2*c + 2*d*x) + 10*exp(4*c + 4*d*x) + 10*exp(6*c + 6*d*x) + 5*exp(8*c + 8*d*x) + exp(10*c + 10*d*x) + 1)) + (6*exp(c + d*x)*(2*a*b^2 - 3*b^3))/(d*(4*exp(2*c + 2*d*x) + 6*exp(4*c + 4*d*x) + 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1)) - (32*b^3*exp(c + d*x))/(3*d*(6*exp(2*c + 2*d*x) + 15*exp(4*c + 4*d*x) + 20*exp(6*c + 6*d*x) + 15*exp(8*c + 8*d*x) + 6*exp(10*c + 10*d*x) + exp(12*c + 12*d*x) + 1)) + (exp(c + d*x)*(18*a*b^2 + 24*a^2*b + 5*b^3))/(8*d*(exp(2*c + 2*d*x) + 1)) + (exp(c + d*x)*(18*a*b^2 - 72*a^2*b + 5*b^3))/(12*d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1))","B"
70,1,978,74,1.495062,"\text{Not used}","int((a + b/cosh(c + d*x)^2)^3/cosh(c + d*x)^2,x)","-\frac{\frac{2\,\left(5\,a^3+18\,a^2\,b+24\,a\,b^2+16\,b^3\right)}{35\,d}+\frac{2\,a^3\,{\mathrm{e}}^{6\,c+6\,d\,x}}{7\,d}+\frac{6\,a\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(5\,a^2+16\,a\,b+16\,b^2\right)}{35\,d}+\frac{6\,a^2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(a+2\,b\right)}{7\,d}}{4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1}-\frac{\frac{2\,a^2\,\left(a+2\,b\right)}{7\,d}+\frac{2\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}}{7\,d}}{2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1}-\frac{\frac{2\,a\,\left(5\,a^2+16\,a\,b+16\,b^2\right)}{35\,d}+\frac{8\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(5\,a^3+18\,a^2\,b+24\,a\,b^2+16\,b^3\right)}{35\,d}+\frac{2\,a^3\,{\mathrm{e}}^{8\,c+8\,d\,x}}{7\,d}+\frac{12\,a\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(5\,a^2+16\,a\,b+16\,b^2\right)}{35\,d}+\frac{8\,a^2\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(a+2\,b\right)}{7\,d}}{5\,{\mathrm{e}}^{2\,c+2\,d\,x}+10\,{\mathrm{e}}^{4\,c+4\,d\,x}+10\,{\mathrm{e}}^{6\,c+6\,d\,x}+5\,{\mathrm{e}}^{8\,c+8\,d\,x}+{\mathrm{e}}^{10\,c+10\,d\,x}+1}-\frac{\frac{2\,a^3}{7\,d}+\frac{8\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(5\,a^3+18\,a^2\,b+24\,a\,b^2+16\,b^3\right)}{7\,d}+\frac{2\,a^3\,{\mathrm{e}}^{12\,c+12\,d\,x}}{7\,d}+\frac{6\,a\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(5\,a^2+16\,a\,b+16\,b^2\right)}{7\,d}+\frac{6\,a\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(5\,a^2+16\,a\,b+16\,b^2\right)}{7\,d}+\frac{12\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a+2\,b\right)}{7\,d}+\frac{12\,a^2\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(a+2\,b\right)}{7\,d}}{7\,{\mathrm{e}}^{2\,c+2\,d\,x}+21\,{\mathrm{e}}^{4\,c+4\,d\,x}+35\,{\mathrm{e}}^{6\,c+6\,d\,x}+35\,{\mathrm{e}}^{8\,c+8\,d\,x}+21\,{\mathrm{e}}^{10\,c+10\,d\,x}+7\,{\mathrm{e}}^{12\,c+12\,d\,x}+{\mathrm{e}}^{14\,c+14\,d\,x}+1}-\frac{\frac{2\,a\,\left(5\,a^2+16\,a\,b+16\,b^2\right)}{35\,d}+\frac{2\,a^3\,{\mathrm{e}}^{4\,c+4\,d\,x}}{7\,d}+\frac{4\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a+2\,b\right)}{7\,d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1}-\frac{\frac{2\,a^2\,\left(a+2\,b\right)}{7\,d}+\frac{4\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(5\,a^3+18\,a^2\,b+24\,a\,b^2+16\,b^3\right)}{7\,d}+\frac{2\,a^3\,{\mathrm{e}}^{10\,c+10\,d\,x}}{7\,d}+\frac{2\,a\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(5\,a^2+16\,a\,b+16\,b^2\right)}{7\,d}+\frac{4\,a\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(5\,a^2+16\,a\,b+16\,b^2\right)}{7\,d}+\frac{10\,a^2\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(a+2\,b\right)}{7\,d}}{6\,{\mathrm{e}}^{2\,c+2\,d\,x}+15\,{\mathrm{e}}^{4\,c+4\,d\,x}+20\,{\mathrm{e}}^{6\,c+6\,d\,x}+15\,{\mathrm{e}}^{8\,c+8\,d\,x}+6\,{\mathrm{e}}^{10\,c+10\,d\,x}+{\mathrm{e}}^{12\,c+12\,d\,x}+1}-\frac{2\,a^3}{7\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"- ((2*(24*a*b^2 + 18*a^2*b + 5*a^3 + 16*b^3))/(35*d) + (2*a^3*exp(6*c + 6*d*x))/(7*d) + (6*a*exp(2*c + 2*d*x)*(16*a*b + 5*a^2 + 16*b^2))/(35*d) + (6*a^2*exp(4*c + 4*d*x)*(a + 2*b))/(7*d))/(4*exp(2*c + 2*d*x) + 6*exp(4*c + 4*d*x) + 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1) - ((2*a^2*(a + 2*b))/(7*d) + (2*a^3*exp(2*c + 2*d*x))/(7*d))/(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1) - ((2*a*(16*a*b + 5*a^2 + 16*b^2))/(35*d) + (8*exp(2*c + 2*d*x)*(24*a*b^2 + 18*a^2*b + 5*a^3 + 16*b^3))/(35*d) + (2*a^3*exp(8*c + 8*d*x))/(7*d) + (12*a*exp(4*c + 4*d*x)*(16*a*b + 5*a^2 + 16*b^2))/(35*d) + (8*a^2*exp(6*c + 6*d*x)*(a + 2*b))/(7*d))/(5*exp(2*c + 2*d*x) + 10*exp(4*c + 4*d*x) + 10*exp(6*c + 6*d*x) + 5*exp(8*c + 8*d*x) + exp(10*c + 10*d*x) + 1) - ((2*a^3)/(7*d) + (8*exp(6*c + 6*d*x)*(24*a*b^2 + 18*a^2*b + 5*a^3 + 16*b^3))/(7*d) + (2*a^3*exp(12*c + 12*d*x))/(7*d) + (6*a*exp(4*c + 4*d*x)*(16*a*b + 5*a^2 + 16*b^2))/(7*d) + (6*a*exp(8*c + 8*d*x)*(16*a*b + 5*a^2 + 16*b^2))/(7*d) + (12*a^2*exp(2*c + 2*d*x)*(a + 2*b))/(7*d) + (12*a^2*exp(10*c + 10*d*x)*(a + 2*b))/(7*d))/(7*exp(2*c + 2*d*x) + 21*exp(4*c + 4*d*x) + 35*exp(6*c + 6*d*x) + 35*exp(8*c + 8*d*x) + 21*exp(10*c + 10*d*x) + 7*exp(12*c + 12*d*x) + exp(14*c + 14*d*x) + 1) - ((2*a*(16*a*b + 5*a^2 + 16*b^2))/(35*d) + (2*a^3*exp(4*c + 4*d*x))/(7*d) + (4*a^2*exp(2*c + 2*d*x)*(a + 2*b))/(7*d))/(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1) - ((2*a^2*(a + 2*b))/(7*d) + (4*exp(4*c + 4*d*x)*(24*a*b^2 + 18*a^2*b + 5*a^3 + 16*b^3))/(7*d) + (2*a^3*exp(10*c + 10*d*x))/(7*d) + (2*a*exp(2*c + 2*d*x)*(16*a*b + 5*a^2 + 16*b^2))/(7*d) + (4*a*exp(6*c + 6*d*x)*(16*a*b + 5*a^2 + 16*b^2))/(7*d) + (10*a^2*exp(8*c + 8*d*x)*(a + 2*b))/(7*d))/(6*exp(2*c + 2*d*x) + 15*exp(4*c + 4*d*x) + 20*exp(6*c + 6*d*x) + 15*exp(8*c + 8*d*x) + 6*exp(10*c + 10*d*x) + exp(12*c + 12*d*x) + 1) - (2*a^3)/(7*d*(exp(2*c + 2*d*x) + 1))","B"
71,1,931,196,1.598835,"\text{Not used}","int((a + b/cosh(c + d*x)^2)^3/cosh(c + d*x)^3,x)","\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(64\,a^3\,\sqrt{d^2}+35\,b^3\,\sqrt{d^2}+120\,a\,b^2\,\sqrt{d^2}+144\,a^2\,b\,\sqrt{d^2}\right)}{d\,\sqrt{4096\,a^6+18432\,a^5\,b+36096\,a^4\,b^2+39040\,a^3\,b^3+24480\,a^2\,b^4+8400\,a\,b^5+1225\,b^6}}\right)\,\sqrt{4096\,a^6+18432\,a^5\,b+36096\,a^4\,b^2+39040\,a^3\,b^3+24480\,a^2\,b^4+8400\,a\,b^5+1225\,b^6}}{64\,\sqrt{d^2}}-\frac{\frac{a^3\,{\mathrm{e}}^{c+d\,x}}{2\,d}+\frac{2\,{\mathrm{e}}^{7\,c+7\,d\,x}\,\left(5\,a^3+18\,a^2\,b+24\,a\,b^2+16\,b^3\right)}{d}+\frac{a^3\,{\mathrm{e}}^{13\,c+13\,d\,x}}{2\,d}+\frac{3\,a\,{\mathrm{e}}^{5\,c+5\,d\,x}\,\left(5\,a^2+16\,a\,b+16\,b^2\right)}{2\,d}+\frac{3\,a\,{\mathrm{e}}^{9\,c+9\,d\,x}\,\left(5\,a^2+16\,a\,b+16\,b^2\right)}{2\,d}+\frac{3\,a^2\,{\mathrm{e}}^{3\,c+3\,d\,x}\,\left(a+2\,b\right)}{d}+\frac{3\,a^2\,{\mathrm{e}}^{11\,c+11\,d\,x}\,\left(a+2\,b\right)}{d}}{8\,{\mathrm{e}}^{2\,c+2\,d\,x}+28\,{\mathrm{e}}^{4\,c+4\,d\,x}+56\,{\mathrm{e}}^{6\,c+6\,d\,x}+70\,{\mathrm{e}}^{8\,c+8\,d\,x}+56\,{\mathrm{e}}^{10\,c+10\,d\,x}+28\,{\mathrm{e}}^{12\,c+12\,d\,x}+8\,{\mathrm{e}}^{14\,c+14\,d\,x}+{\mathrm{e}}^{16\,c+16\,d\,x}+1}+\frac{2\,{\mathrm{e}}^{c+d\,x}\,\left(48\,a\,b^2-37\,b^3\right)}{3\,d\,\left(5\,{\mathrm{e}}^{2\,c+2\,d\,x}+10\,{\mathrm{e}}^{4\,c+4\,d\,x}+10\,{\mathrm{e}}^{6\,c+6\,d\,x}+5\,{\mathrm{e}}^{8\,c+8\,d\,x}+{\mathrm{e}}^{10\,c+10\,d\,x}+1\right)}+\frac{{\mathrm{e}}^{c+d\,x}\,\left(24\,a^2\,b-120\,a\,b^2+b^3\right)}{4\,d\,\left(4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1\right)}-\frac{16\,b^3\,{\mathrm{e}}^{c+d\,x}}{d\,\left(7\,{\mathrm{e}}^{2\,c+2\,d\,x}+21\,{\mathrm{e}}^{4\,c+4\,d\,x}+35\,{\mathrm{e}}^{6\,c+6\,d\,x}+35\,{\mathrm{e}}^{8\,c+8\,d\,x}+21\,{\mathrm{e}}^{10\,c+10\,d\,x}+7\,{\mathrm{e}}^{12\,c+12\,d\,x}+{\mathrm{e}}^{14\,c+14\,d\,x}+1\right)}+\frac{{\mathrm{e}}^{c+d\,x}\,\left(64\,a^3+144\,a^2\,b+120\,a\,b^2+35\,b^3\right)}{64\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{4\,{\mathrm{e}}^{c+d\,x}\,\left(6\,a\,b^2-29\,b^3\right)}{3\,d\,\left(6\,{\mathrm{e}}^{2\,c+2\,d\,x}+15\,{\mathrm{e}}^{4\,c+4\,d\,x}+20\,{\mathrm{e}}^{6\,c+6\,d\,x}+15\,{\mathrm{e}}^{8\,c+8\,d\,x}+6\,{\mathrm{e}}^{10\,c+10\,d\,x}+{\mathrm{e}}^{12\,c+12\,d\,x}+1\right)}+\frac{{\mathrm{e}}^{c+d\,x}\,\left(-144\,a^3+144\,a^2\,b+120\,a\,b^2+35\,b^3\right)}{96\,d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}+\frac{{\mathrm{e}}^{c+d\,x}\,\left(-288\,a^2\,b+24\,a\,b^2+7\,b^3\right)}{24\,d\,\left(3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1\right)}","Not used",1,"(atan((exp(d*x)*exp(c)*(64*a^3*(d^2)^(1/2) + 35*b^3*(d^2)^(1/2) + 120*a*b^2*(d^2)^(1/2) + 144*a^2*b*(d^2)^(1/2)))/(d*(8400*a*b^5 + 18432*a^5*b + 4096*a^6 + 1225*b^6 + 24480*a^2*b^4 + 39040*a^3*b^3 + 36096*a^4*b^2)^(1/2)))*(8400*a*b^5 + 18432*a^5*b + 4096*a^6 + 1225*b^6 + 24480*a^2*b^4 + 39040*a^3*b^3 + 36096*a^4*b^2)^(1/2))/(64*(d^2)^(1/2)) - ((a^3*exp(c + d*x))/(2*d) + (2*exp(7*c + 7*d*x)*(24*a*b^2 + 18*a^2*b + 5*a^3 + 16*b^3))/d + (a^3*exp(13*c + 13*d*x))/(2*d) + (3*a*exp(5*c + 5*d*x)*(16*a*b + 5*a^2 + 16*b^2))/(2*d) + (3*a*exp(9*c + 9*d*x)*(16*a*b + 5*a^2 + 16*b^2))/(2*d) + (3*a^2*exp(3*c + 3*d*x)*(a + 2*b))/d + (3*a^2*exp(11*c + 11*d*x)*(a + 2*b))/d)/(8*exp(2*c + 2*d*x) + 28*exp(4*c + 4*d*x) + 56*exp(6*c + 6*d*x) + 70*exp(8*c + 8*d*x) + 56*exp(10*c + 10*d*x) + 28*exp(12*c + 12*d*x) + 8*exp(14*c + 14*d*x) + exp(16*c + 16*d*x) + 1) + (2*exp(c + d*x)*(48*a*b^2 - 37*b^3))/(3*d*(5*exp(2*c + 2*d*x) + 10*exp(4*c + 4*d*x) + 10*exp(6*c + 6*d*x) + 5*exp(8*c + 8*d*x) + exp(10*c + 10*d*x) + 1)) + (exp(c + d*x)*(24*a^2*b - 120*a*b^2 + b^3))/(4*d*(4*exp(2*c + 2*d*x) + 6*exp(4*c + 4*d*x) + 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1)) - (16*b^3*exp(c + d*x))/(d*(7*exp(2*c + 2*d*x) + 21*exp(4*c + 4*d*x) + 35*exp(6*c + 6*d*x) + 35*exp(8*c + 8*d*x) + 21*exp(10*c + 10*d*x) + 7*exp(12*c + 12*d*x) + exp(14*c + 14*d*x) + 1)) + (exp(c + d*x)*(120*a*b^2 + 144*a^2*b + 64*a^3 + 35*b^3))/(64*d*(exp(2*c + 2*d*x) + 1)) - (4*exp(c + d*x)*(6*a*b^2 - 29*b^3))/(3*d*(6*exp(2*c + 2*d*x) + 15*exp(4*c + 4*d*x) + 20*exp(6*c + 6*d*x) + 15*exp(8*c + 8*d*x) + 6*exp(10*c + 10*d*x) + exp(12*c + 12*d*x) + 1)) + (exp(c + d*x)*(120*a*b^2 + 144*a^2*b - 144*a^3 + 35*b^3))/(96*d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1)) + (exp(c + d*x)*(24*a*b^2 - 288*a^2*b + 7*b^3))/(24*d*(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1))","B"
72,1,1333,108,1.472818,"\text{Not used}","int((a + b/cosh(c + d*x)^2)^3/cosh(c + d*x)^4,x)","-\frac{\frac{16\,\left(5\,a^3+18\,a^2\,b+24\,a\,b^2+16\,b^3\right)}{315\,d}+\frac{4\,a^3\,{\mathrm{e}}^{6\,c+6\,d\,x}}{9\,d}+\frac{4\,a\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(5\,a^2+16\,a\,b+16\,b^2\right)}{21\,d}+\frac{8\,a^2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(a+2\,b\right)}{7\,d}}{5\,{\mathrm{e}}^{2\,c+2\,d\,x}+10\,{\mathrm{e}}^{4\,c+4\,d\,x}+10\,{\mathrm{e}}^{6\,c+6\,d\,x}+5\,{\mathrm{e}}^{8\,c+8\,d\,x}+{\mathrm{e}}^{10\,c+10\,d\,x}+1}-\frac{\frac{32\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(5\,a^3+18\,a^2\,b+24\,a\,b^2+16\,b^3\right)}{9\,d}+\frac{8\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}}{9\,d}+\frac{8\,a^3\,{\mathrm{e}}^{14\,c+14\,d\,x}}{9\,d}+\frac{8\,a\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(5\,a^2+16\,a\,b+16\,b^2\right)}{3\,d}+\frac{8\,a\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(5\,a^2+16\,a\,b+16\,b^2\right)}{3\,d}+\frac{16\,a^2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(a+2\,b\right)}{3\,d}+\frac{16\,a^2\,{\mathrm{e}}^{12\,c+12\,d\,x}\,\left(a+2\,b\right)}{3\,d}}{9\,{\mathrm{e}}^{2\,c+2\,d\,x}+36\,{\mathrm{e}}^{4\,c+4\,d\,x}+84\,{\mathrm{e}}^{6\,c+6\,d\,x}+126\,{\mathrm{e}}^{8\,c+8\,d\,x}+126\,{\mathrm{e}}^{10\,c+10\,d\,x}+84\,{\mathrm{e}}^{12\,c+12\,d\,x}+36\,{\mathrm{e}}^{14\,c+14\,d\,x}+9\,{\mathrm{e}}^{16\,c+16\,d\,x}+{\mathrm{e}}^{18\,c+18\,d\,x}+1}-\frac{\frac{4\,a^2\,\left(a+2\,b\right)}{21\,d}+\frac{2\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}}{9\,d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1}-\frac{\frac{a\,\left(5\,a^2+16\,a\,b+16\,b^2\right)}{21\,d}+\frac{16\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(5\,a^3+18\,a^2\,b+24\,a\,b^2+16\,b^3\right)}{63\,d}+\frac{5\,a^3\,{\mathrm{e}}^{8\,c+8\,d\,x}}{9\,d}+\frac{10\,a\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(5\,a^2+16\,a\,b+16\,b^2\right)}{21\,d}+\frac{40\,a^2\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(a+2\,b\right)}{21\,d}}{6\,{\mathrm{e}}^{2\,c+2\,d\,x}+15\,{\mathrm{e}}^{4\,c+4\,d\,x}+20\,{\mathrm{e}}^{6\,c+6\,d\,x}+15\,{\mathrm{e}}^{8\,c+8\,d\,x}+6\,{\mathrm{e}}^{10\,c+10\,d\,x}+{\mathrm{e}}^{12\,c+12\,d\,x}+1}-\frac{\frac{a^3}{9\,d}+\frac{16\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(5\,a^3+18\,a^2\,b+24\,a\,b^2+16\,b^3\right)}{9\,d}+\frac{7\,a^3\,{\mathrm{e}}^{12\,c+12\,d\,x}}{9\,d}+\frac{a\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(5\,a^2+16\,a\,b+16\,b^2\right)}{d}+\frac{5\,a\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(5\,a^2+16\,a\,b+16\,b^2\right)}{3\,d}+\frac{4\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a+2\,b\right)}{3\,d}+\frac{4\,a^2\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(a+2\,b\right)}{d}}{8\,{\mathrm{e}}^{2\,c+2\,d\,x}+28\,{\mathrm{e}}^{4\,c+4\,d\,x}+56\,{\mathrm{e}}^{6\,c+6\,d\,x}+70\,{\mathrm{e}}^{8\,c+8\,d\,x}+56\,{\mathrm{e}}^{10\,c+10\,d\,x}+28\,{\mathrm{e}}^{12\,c+12\,d\,x}+8\,{\mathrm{e}}^{14\,c+14\,d\,x}+{\mathrm{e}}^{16\,c+16\,d\,x}+1}-\frac{\frac{a\,\left(5\,a^2+16\,a\,b+16\,b^2\right)}{21\,d}+\frac{a^3\,{\mathrm{e}}^{4\,c+4\,d\,x}}{3\,d}+\frac{4\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a+2\,b\right)}{7\,d}}{4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1}-\frac{\frac{4\,a^2\,\left(a+2\,b\right)}{21\,d}+\frac{16\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(5\,a^3+18\,a^2\,b+24\,a\,b^2+16\,b^3\right)}{21\,d}+\frac{2\,a^3\,{\mathrm{e}}^{10\,c+10\,d\,x}}{3\,d}+\frac{2\,a\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(5\,a^2+16\,a\,b+16\,b^2\right)}{7\,d}+\frac{20\,a\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(5\,a^2+16\,a\,b+16\,b^2\right)}{21\,d}+\frac{20\,a^2\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(a+2\,b\right)}{7\,d}}{7\,{\mathrm{e}}^{2\,c+2\,d\,x}+21\,{\mathrm{e}}^{4\,c+4\,d\,x}+35\,{\mathrm{e}}^{6\,c+6\,d\,x}+35\,{\mathrm{e}}^{8\,c+8\,d\,x}+21\,{\mathrm{e}}^{10\,c+10\,d\,x}+7\,{\mathrm{e}}^{12\,c+12\,d\,x}+{\mathrm{e}}^{14\,c+14\,d\,x}+1}-\frac{a^3}{9\,d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}","Not used",1,"- ((16*(24*a*b^2 + 18*a^2*b + 5*a^3 + 16*b^3))/(315*d) + (4*a^3*exp(6*c + 6*d*x))/(9*d) + (4*a*exp(2*c + 2*d*x)*(16*a*b + 5*a^2 + 16*b^2))/(21*d) + (8*a^2*exp(4*c + 4*d*x)*(a + 2*b))/(7*d))/(5*exp(2*c + 2*d*x) + 10*exp(4*c + 4*d*x) + 10*exp(6*c + 6*d*x) + 5*exp(8*c + 8*d*x) + exp(10*c + 10*d*x) + 1) - ((32*exp(8*c + 8*d*x)*(24*a*b^2 + 18*a^2*b + 5*a^3 + 16*b^3))/(9*d) + (8*a^3*exp(2*c + 2*d*x))/(9*d) + (8*a^3*exp(14*c + 14*d*x))/(9*d) + (8*a*exp(6*c + 6*d*x)*(16*a*b + 5*a^2 + 16*b^2))/(3*d) + (8*a*exp(10*c + 10*d*x)*(16*a*b + 5*a^2 + 16*b^2))/(3*d) + (16*a^2*exp(4*c + 4*d*x)*(a + 2*b))/(3*d) + (16*a^2*exp(12*c + 12*d*x)*(a + 2*b))/(3*d))/(9*exp(2*c + 2*d*x) + 36*exp(4*c + 4*d*x) + 84*exp(6*c + 6*d*x) + 126*exp(8*c + 8*d*x) + 126*exp(10*c + 10*d*x) + 84*exp(12*c + 12*d*x) + 36*exp(14*c + 14*d*x) + 9*exp(16*c + 16*d*x) + exp(18*c + 18*d*x) + 1) - ((4*a^2*(a + 2*b))/(21*d) + (2*a^3*exp(2*c + 2*d*x))/(9*d))/(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1) - ((a*(16*a*b + 5*a^2 + 16*b^2))/(21*d) + (16*exp(2*c + 2*d*x)*(24*a*b^2 + 18*a^2*b + 5*a^3 + 16*b^3))/(63*d) + (5*a^3*exp(8*c + 8*d*x))/(9*d) + (10*a*exp(4*c + 4*d*x)*(16*a*b + 5*a^2 + 16*b^2))/(21*d) + (40*a^2*exp(6*c + 6*d*x)*(a + 2*b))/(21*d))/(6*exp(2*c + 2*d*x) + 15*exp(4*c + 4*d*x) + 20*exp(6*c + 6*d*x) + 15*exp(8*c + 8*d*x) + 6*exp(10*c + 10*d*x) + exp(12*c + 12*d*x) + 1) - (a^3/(9*d) + (16*exp(6*c + 6*d*x)*(24*a*b^2 + 18*a^2*b + 5*a^3 + 16*b^3))/(9*d) + (7*a^3*exp(12*c + 12*d*x))/(9*d) + (a*exp(4*c + 4*d*x)*(16*a*b + 5*a^2 + 16*b^2))/d + (5*a*exp(8*c + 8*d*x)*(16*a*b + 5*a^2 + 16*b^2))/(3*d) + (4*a^2*exp(2*c + 2*d*x)*(a + 2*b))/(3*d) + (4*a^2*exp(10*c + 10*d*x)*(a + 2*b))/d)/(8*exp(2*c + 2*d*x) + 28*exp(4*c + 4*d*x) + 56*exp(6*c + 6*d*x) + 70*exp(8*c + 8*d*x) + 56*exp(10*c + 10*d*x) + 28*exp(12*c + 12*d*x) + 8*exp(14*c + 14*d*x) + exp(16*c + 16*d*x) + 1) - ((a*(16*a*b + 5*a^2 + 16*b^2))/(21*d) + (a^3*exp(4*c + 4*d*x))/(3*d) + (4*a^2*exp(2*c + 2*d*x)*(a + 2*b))/(7*d))/(4*exp(2*c + 2*d*x) + 6*exp(4*c + 4*d*x) + 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1) - ((4*a^2*(a + 2*b))/(21*d) + (16*exp(4*c + 4*d*x)*(24*a*b^2 + 18*a^2*b + 5*a^3 + 16*b^3))/(21*d) + (2*a^3*exp(10*c + 10*d*x))/(3*d) + (2*a*exp(2*c + 2*d*x)*(16*a*b + 5*a^2 + 16*b^2))/(7*d) + (20*a*exp(6*c + 6*d*x)*(16*a*b + 5*a^2 + 16*b^2))/(21*d) + (20*a^2*exp(8*c + 8*d*x)*(a + 2*b))/(7*d))/(7*exp(2*c + 2*d*x) + 21*exp(4*c + 4*d*x) + 35*exp(6*c + 6*d*x) + 35*exp(8*c + 8*d*x) + 21*exp(10*c + 10*d*x) + 7*exp(12*c + 12*d*x) + exp(14*c + 14*d*x) + 1) - a^3/(9*d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1))","B"
73,1,260,117,1.997527,"\text{Not used}","int(cosh(c + d*x)^4/(a + b/cosh(c + d*x)^2),x)","\frac{x\,\left(3\,a^2-4\,a\,b+8\,b^2\right)}{8\,a^3}-\frac{{\mathrm{e}}^{-4\,c-4\,d\,x}}{64\,a\,d}+\frac{{\mathrm{e}}^{4\,c+4\,d\,x}}{64\,a\,d}-\frac{{\mathrm{e}}^{-2\,c-2\,d\,x}\,\left(a-b\right)}{8\,a^2\,d}+\frac{{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a-b\right)}{8\,a^2\,d}+\frac{b^{5/2}\,\ln\left(\frac{4\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}}{a^4}-\frac{2\,b^{5/2}\,\left(a\,d+a\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}+2\,b\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^4\,d\,\sqrt{a+b}}\right)}{2\,a^3\,d\,\sqrt{a+b}}-\frac{b^{5/2}\,\ln\left(\frac{4\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}}{a^4}+\frac{2\,b^{5/2}\,\left(a\,d+a\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}+2\,b\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^4\,d\,\sqrt{a+b}}\right)}{2\,a^3\,d\,\sqrt{a+b}}","Not used",1,"(x*(3*a^2 - 4*a*b + 8*b^2))/(8*a^3) - exp(- 4*c - 4*d*x)/(64*a*d) + exp(4*c + 4*d*x)/(64*a*d) - (exp(- 2*c - 2*d*x)*(a - b))/(8*a^2*d) + (exp(2*c + 2*d*x)*(a - b))/(8*a^2*d) + (b^(5/2)*log((4*b^3*exp(2*c + 2*d*x))/a^4 - (2*b^(5/2)*(a*d + a*d*exp(2*c + 2*d*x) + 2*b*d*exp(2*c + 2*d*x)))/(a^4*d*(a + b)^(1/2))))/(2*a^3*d*(a + b)^(1/2)) - (b^(5/2)*log((4*b^3*exp(2*c + 2*d*x))/a^4 + (2*b^(5/2)*(a*d + a*d*exp(2*c + 2*d*x) + 2*b*d*exp(2*c + 2*d*x)))/(a^4*d*(a + b)^(1/2))))/(2*a^3*d*(a + b)^(1/2))","B"
74,1,332,76,2.213049,"\text{Not used}","int(cosh(c + d*x)^3/(a + b/cosh(c + d*x)^2),x)","\frac{{\mathrm{e}}^{3\,c+3\,d\,x}}{24\,a\,d}-\frac{{\mathrm{e}}^{-3\,c-3\,d\,x}}{24\,a\,d}-\frac{\sqrt{b^4}\,\left(2\,\mathrm{atan}\left(\left({\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(\frac{2\,b^2}{a^8\,d\,{\left(a+b\right)}^2\,\sqrt{b^4}}-\frac{4\,\left(2\,a^2\,b^4\,d\,\sqrt{b^4}+2\,a^3\,b^3\,d\,\sqrt{b^4}\right)}{a^6\,b^5\,\left(a+b\right)\,\sqrt{a^6\,d^2+b\,a^5\,d^2}\,\sqrt{a^5\,d^2\,\left(a+b\right)}}\right)-\frac{2\,b^2\,{\mathrm{e}}^{3\,c}\,{\mathrm{e}}^{3\,d\,x}}{a^8\,d\,{\left(a+b\right)}^2\,\sqrt{b^4}}\right)\,\left(\frac{a^7\,\sqrt{a^6\,d^2+b\,a^5\,d^2}}{4}+\frac{a^6\,b\,\sqrt{a^6\,d^2+b\,a^5\,d^2}}{4}\right)\right)-2\,\mathrm{atan}\left(\frac{b^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\sqrt{a^5\,d^2\,\left(a+b\right)}}{2\,a^2\,d\,\left(a+b\right)\,\sqrt{b^4}}\right)\right)}{2\,\sqrt{a^6\,d^2+b\,a^5\,d^2}}+\frac{{\mathrm{e}}^{c+d\,x}\,\left(3\,a-4\,b\right)}{8\,a^2\,d}-\frac{{\mathrm{e}}^{-c-d\,x}\,\left(3\,a-4\,b\right)}{8\,a^2\,d}","Not used",1,"exp(3*c + 3*d*x)/(24*a*d) - exp(- 3*c - 3*d*x)/(24*a*d) - ((b^4)^(1/2)*(2*atan((exp(d*x)*exp(c)*((2*b^2)/(a^8*d*(a + b)^2*(b^4)^(1/2)) - (4*(2*a^2*b^4*d*(b^4)^(1/2) + 2*a^3*b^3*d*(b^4)^(1/2)))/(a^6*b^5*(a + b)*(a^6*d^2 + a^5*b*d^2)^(1/2)*(a^5*d^2*(a + b))^(1/2))) - (2*b^2*exp(3*c)*exp(3*d*x))/(a^8*d*(a + b)^2*(b^4)^(1/2)))*((a^7*(a^6*d^2 + a^5*b*d^2)^(1/2))/4 + (a^6*b*(a^6*d^2 + a^5*b*d^2)^(1/2))/4)) - 2*atan((b^2*exp(d*x)*exp(c)*(a^5*d^2*(a + b))^(1/2))/(2*a^2*d*(a + b)*(b^4)^(1/2)))))/(2*(a^6*d^2 + a^5*b*d^2)^(1/2)) + (exp(c + d*x)*(3*a - 4*b))/(8*a^2*d) - (exp(- c - d*x)*(3*a - 4*b))/(8*a^2*d)","B"
75,1,206,75,1.967596,"\text{Not used}","int(cosh(c + d*x)^2/(a + b/cosh(c + d*x)^2),x)","\frac{x\,\left(a-2\,b\right)}{2\,a^2}-\frac{{\mathrm{e}}^{-2\,c-2\,d\,x}}{8\,a\,d}+\frac{{\mathrm{e}}^{2\,c+2\,d\,x}}{8\,a\,d}+\frac{b^{3/2}\,\ln\left(-\frac{4\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}}{a^3}-\frac{2\,b^{3/2}\,\left(a\,d+a\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}+2\,b\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^3\,d\,\sqrt{a+b}}\right)}{2\,a^2\,d\,\sqrt{a+b}}-\frac{b^{3/2}\,\ln\left(\frac{2\,b^{3/2}\,\left(a\,d+a\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}+2\,b\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^3\,d\,\sqrt{a+b}}-\frac{4\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}}{a^3}\right)}{2\,a^2\,d\,\sqrt{a+b}}","Not used",1,"(x*(a - 2*b))/(2*a^2) - exp(- 2*c - 2*d*x)/(8*a*d) + exp(2*c + 2*d*x)/(8*a*d) + (b^(3/2)*log(- (4*b^2*exp(2*c + 2*d*x))/a^3 - (2*b^(3/2)*(a*d + a*d*exp(2*c + 2*d*x) + 2*b*d*exp(2*c + 2*d*x)))/(a^3*d*(a + b)^(1/2))))/(2*a^2*d*(a + b)^(1/2)) - (b^(3/2)*log((2*b^(3/2)*(a*d + a*d*exp(2*c + 2*d*x) + 2*b*d*exp(2*c + 2*d*x)))/(a^3*d*(a + b)^(1/2)) - (4*b^2*exp(2*c + 2*d*x))/a^3))/(2*a^2*d*(a + b)^(1/2))","B"
76,1,277,52,1.739464,"\text{Not used}","int(cosh(c + d*x)/(a + b/cosh(c + d*x)^2),x)","\frac{{\mathrm{e}}^{c+d\,x}}{2\,a\,d}-\frac{{\mathrm{e}}^{-c-d\,x}}{2\,a\,d}-\frac{\left(2\,\mathrm{atan}\left(\frac{b^3\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\sqrt{a^3\,d^2\,\left(a+b\right)}}{2\,a\,d\,\left(a+b\right)\,{\left(b^2\right)}^{3/2}}\right)-2\,\mathrm{atan}\left(\left({\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(\frac{2\,b^3}{a^5\,d\,{\left(a+b\right)}^2\,{\left(b^2\right)}^{3/2}}-\frac{4\,\left(2\,a^2\,d\,{\left(b^2\right)}^{3/2}+2\,a\,b\,d\,{\left(b^2\right)}^{3/2}\right)}{a^4\,b^3\,\left(a+b\right)\,\sqrt{a^4\,d^2+b\,a^3\,d^2}\,\sqrt{a^3\,d^2\,\left(a+b\right)}}\right)-\frac{2\,b^3\,{\mathrm{e}}^{3\,c}\,{\mathrm{e}}^{3\,d\,x}}{a^5\,d\,{\left(a+b\right)}^2\,{\left(b^2\right)}^{3/2}}\right)\,\left(\frac{a^5\,\sqrt{a^4\,d^2+b\,a^3\,d^2}}{4}+\frac{a^4\,b\,\sqrt{a^4\,d^2+b\,a^3\,d^2}}{4}\right)\right)\right)\,\sqrt{b^2}}{2\,\sqrt{a^4\,d^2+b\,a^3\,d^2}}","Not used",1,"exp(c + d*x)/(2*a*d) - exp(- c - d*x)/(2*a*d) - ((2*atan((b^3*exp(d*x)*exp(c)*(a^3*d^2*(a + b))^(1/2))/(2*a*d*(a + b)*(b^2)^(3/2))) - 2*atan((exp(d*x)*exp(c)*((2*b^3)/(a^5*d*(a + b)^2*(b^2)^(3/2)) - (4*(2*a^2*d*(b^2)^(3/2) + 2*a*b*d*(b^2)^(3/2)))/(a^4*b^3*(a + b)*(a^4*d^2 + a^3*b*d^2)^(1/2)*(a^3*d^2*(a + b))^(1/2))) - (2*b^3*exp(3*c)*exp(3*d*x))/(a^5*d*(a + b)^2*(b^2)^(3/2)))*((a^5*(a^4*d^2 + a^3*b*d^2)^(1/2))/4 + (a^4*b*(a^4*d^2 + a^3*b*d^2)^(1/2))/4)))*(b^2)^(1/2))/(2*(a^4*d^2 + a^3*b*d^2)^(1/2))","B"
77,1,108,36,1.895630,"\text{Not used}","int(1/(cosh(c + d*x)*(a + b/cosh(c + d*x)^2)),x)","-\frac{\ln\left(-\frac{4\,\left(b-b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^2\,\left(a+b\right)}-\frac{8\,b\,{\mathrm{e}}^{c+d\,x}}{{\left(-a\right)}^{5/2}\,\sqrt{a+b}}\right)-\ln\left(\frac{8\,b\,{\mathrm{e}}^{c+d\,x}}{{\left(-a\right)}^{5/2}\,\sqrt{a+b}}-\frac{4\,\left(b-b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^2\,\left(a+b\right)}\right)}{2\,\sqrt{-a}\,d\,\sqrt{a+b}}","Not used",1,"-(log(- (4*(b - b*exp(2*c + 2*d*x)))/(a^2*(a + b)) - (8*b*exp(c + d*x))/((-a)^(5/2)*(a + b)^(1/2))) - log((8*b*exp(c + d*x))/((-a)^(5/2)*(a + b)^(1/2)) - (4*(b - b*exp(2*c + 2*d*x)))/(a^2*(a + b))))/(2*(-a)^(1/2)*d*(a + b)^(1/2))","B"
78,1,125,36,0.570135,"\text{Not used}","int(1/(cosh(c + d*x)^2*(a + b/cosh(c + d*x)^2)),x)","\frac{\mathrm{atan}\left(\frac{d\,\left(a+2\,b\right)}{2\,\sqrt{-b\,d^2\,\left(a+b\right)}}+\frac{a\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\,\left(\frac{4}{a^2\,d}+\frac{\left(a+2\,b\right)\,\left(a\,d+2\,b\,d\right)}{a^2\,\sqrt{-b^2\,d^2-a\,b\,d^2}\,\sqrt{-b\,d^2\,\left(a+b\right)}}\right)\,\sqrt{-b^2\,d^2-a\,b\,d^2}}{2}\right)}{\sqrt{-b^2\,d^2-a\,b\,d^2}}","Not used",1,"atan((d*(a + 2*b))/(2*(-b*d^2*(a + b))^(1/2)) + (a*exp(2*c)*exp(2*d*x)*(4/(a^2*d) + ((a + 2*b)*(a*d + 2*b*d))/(a^2*(- b^2*d^2 - a*b*d^2)^(1/2)*(-b*d^2*(a + b))^(1/2)))*(- b^2*d^2 - a*b*d^2)^(1/2))/2)/(- b^2*d^2 - a*b*d^2)^(1/2)","B"
79,1,307,55,1.814850,"\text{Not used}","int(1/(cosh(c + d*x)^3*(a + b/cosh(c + d*x)^2)),x)","\frac{2\,\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(9\,a^2\,\sqrt{b^2\,d^2}+16\,b^2\,\sqrt{b^2\,d^2}+24\,a\,b\,\sqrt{b^2\,d^2}\right)}{9\,d\,a^2\,b+24\,d\,a\,b^2+16\,d\,b^3}\right)}{\sqrt{b^2\,d^2}}-\frac{\sqrt{a}\,\left(2\,\mathrm{atan}\left(\frac{\sqrt{a}\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\sqrt{b^2\,d^2\,\left(a+b\right)}}{2\,b\,d\,\left(a+b\right)}\right)+2\,\mathrm{atan}\left(\frac{4\,b^4\,d^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c+4\,a^2\,b^2\,d^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c-a\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\sqrt{b^3\,d^2+a\,b^2\,d^2}\,\sqrt{b^2\,d^2\,\left(a+b\right)}+8\,a\,b^3\,d^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c+a\,{\mathrm{e}}^{3\,c}\,{\mathrm{e}}^{3\,d\,x}\,\sqrt{b^3\,d^2+a\,b^2\,d^2}\,\sqrt{b^2\,d^2\,\left(a+b\right)}}{\sqrt{a}\,d\,\left(2\,b^2+2\,a\,b\right)\,\sqrt{b^2\,d^2\,\left(a+b\right)}}\right)\right)}{2\,\sqrt{b^3\,d^2+a\,b^2\,d^2}}","Not used",1,"(2*atan((exp(d*x)*exp(c)*(9*a^2*(b^2*d^2)^(1/2) + 16*b^2*(b^2*d^2)^(1/2) + 24*a*b*(b^2*d^2)^(1/2)))/(16*b^3*d + 24*a*b^2*d + 9*a^2*b*d)))/(b^2*d^2)^(1/2) - (a^(1/2)*(2*atan((a^(1/2)*exp(d*x)*exp(c)*(b^2*d^2*(a + b))^(1/2))/(2*b*d*(a + b))) + 2*atan((4*b^4*d^2*exp(d*x)*exp(c) + 4*a^2*b^2*d^2*exp(d*x)*exp(c) - a*exp(d*x)*exp(c)*(b^3*d^2 + a*b^2*d^2)^(1/2)*(b^2*d^2*(a + b))^(1/2) + 8*a*b^3*d^2*exp(d*x)*exp(c) + a*exp(3*c)*exp(3*d*x)*(b^3*d^2 + a*b^2*d^2)^(1/2)*(b^2*d^2*(a + b))^(1/2))/(a^(1/2)*d*(2*a*b + 2*b^2)*(b^2*d^2*(a + b))^(1/2)))))/(2*(b^3*d^2 + a*b^2*d^2)^(1/2))","B"
80,1,166,52,0.475388,"\text{Not used}","int(1/(cosh(c + d*x)^4*(a + b/cosh(c + d*x)^2)),x)","\frac{a\,\ln\left(\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}}{b}-\frac{2\,\left(a\,d+a\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}+2\,b\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^{3/2}\,d\,\sqrt{a+b}}\right)}{2\,b^{3/2}\,d\,\sqrt{a+b}}-\frac{2}{b\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{a\,\ln\left(\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}}{b}+\frac{2\,\left(a\,d+a\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}+2\,b\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^{3/2}\,d\,\sqrt{a+b}}\right)}{2\,b^{3/2}\,d\,\sqrt{a+b}}","Not used",1,"(a*log((4*exp(2*c + 2*d*x))/b - (2*(a*d + a*d*exp(2*c + 2*d*x) + 2*b*d*exp(2*c + 2*d*x)))/(b^(3/2)*d*(a + b)^(1/2))))/(2*b^(3/2)*d*(a + b)^(1/2)) - 2/(b*d*(exp(2*c + 2*d*x) + 1)) - (a*log((4*exp(2*c + 2*d*x))/b + (2*(a*d + a*d*exp(2*c + 2*d*x) + 2*b*d*exp(2*c + 2*d*x)))/(b^(3/2)*d*(a + b)^(1/2))))/(2*b^(3/2)*d*(a + b)^(1/2))","B"
81,1,946,86,3.500090,"\text{Not used}","int(1/(cosh(c + d*x)^5*(a + b/cosh(c + d*x)^2)),x)","\frac{\sqrt{a^3}\,\left(2\,\mathrm{atan}\left(\left({\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(\frac{64\,\left(6\,b^3\,d\,{\left(a^3\right)}^{3/2}+2\,b^6\,d\,\sqrt{a^3}+6\,a\,b^2\,d\,{\left(a^3\right)}^{3/2}-4\,a\,b^5\,d\,\sqrt{a^3}-6\,a^2\,b^4\,d\,\sqrt{a^3}\right)}{a^4\,b^4\,\left(a+b\right)\,\left(b^2+a\,b\right)\,\sqrt{b^5\,d^2+a\,b^4\,d^2}\,\sqrt{b^4\,d^2\,\left(a+b\right)}\,\left(3\,a^3-3\,a\,b^2+b^3\right)}-\frac{32\,\left(3\,a^5\,\sqrt{b^5\,d^2+a\,b^4\,d^2}+a^2\,b^3\,\sqrt{b^5\,d^2+a\,b^4\,d^2}-3\,a^3\,b^2\,\sqrt{b^5\,d^2+a\,b^4\,d^2}\right)}{a^2\,b^6\,d\,{\left(a+b\right)}^2\,\left(b^2+a\,b\right)\,\sqrt{b^5\,d^2+a\,b^4\,d^2}\,\sqrt{a^3}\,\left(3\,a^3-3\,a\,b^2+b^3\right)}\right)+\frac{32\,{\mathrm{e}}^{3\,c}\,{\mathrm{e}}^{3\,d\,x}\,\left(3\,a^5\,\sqrt{b^5\,d^2+a\,b^4\,d^2}+a^2\,b^3\,\sqrt{b^5\,d^2+a\,b^4\,d^2}-3\,a^3\,b^2\,\sqrt{b^5\,d^2+a\,b^4\,d^2}\right)}{a^2\,b^6\,d\,{\left(a+b\right)}^2\,\left(b^2+a\,b\right)\,\sqrt{b^5\,d^2+a\,b^4\,d^2}\,\sqrt{a^3}\,\left(3\,a^3-3\,a\,b^2+b^3\right)}\right)\,\left(\frac{a^2\,b^7\,\sqrt{b^5\,d^2+a\,b^4\,d^2}}{64}+\frac{a^3\,b^6\,\sqrt{b^5\,d^2+a\,b^4\,d^2}}{32}+\frac{a^4\,b^5\,\sqrt{b^5\,d^2+a\,b^4\,d^2}}{64}\right)\right)+2\,\mathrm{atan}\left(\frac{a^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\sqrt{b^4\,d^2\,\left(a+b\right)}}{2\,b^2\,d\,\left(a+b\right)\,\sqrt{a^3}}\right)\right)}{2\,\sqrt{b^5\,d^2+a\,b^4\,d^2}}-\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(18\,a^7\,\sqrt{b^4\,d^2}-b^7\,\sqrt{b^4\,d^2}-21\,a^2\,b^5\,\sqrt{b^4\,d^2}+12\,a^3\,b^4\,\sqrt{b^4\,d^2}+30\,a^4\,b^3\,\sqrt{b^4\,d^2}-36\,a^5\,b^2\,\sqrt{b^4\,d^2}+8\,a\,b^6\,\sqrt{b^4\,d^2}-9\,a^6\,b\,\sqrt{b^4\,d^2}\right)}{b^8\,d\,\sqrt{4\,a^2-4\,a\,b+b^2}+9\,a^2\,b^6\,d\,\sqrt{4\,a^2-4\,a\,b+b^2}+6\,a^3\,b^5\,d\,\sqrt{4\,a^2-4\,a\,b+b^2}-18\,a^4\,b^4\,d\,\sqrt{4\,a^2-4\,a\,b+b^2}+9\,a^6\,b^2\,d\,\sqrt{4\,a^2-4\,a\,b+b^2}-6\,a\,b^7\,d\,\sqrt{4\,a^2-4\,a\,b+b^2}}\right)\,\sqrt{4\,a^2-4\,a\,b+b^2}}{\sqrt{b^4\,d^2}}+\frac{{\mathrm{e}}^{c+d\,x}}{b\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{2\,{\mathrm{e}}^{c+d\,x}}{b\,d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}","Not used",1,"((a^3)^(1/2)*(2*atan((exp(d*x)*exp(c)*((64*(6*b^3*d*(a^3)^(3/2) + 2*b^6*d*(a^3)^(1/2) + 6*a*b^2*d*(a^3)^(3/2) - 4*a*b^5*d*(a^3)^(1/2) - 6*a^2*b^4*d*(a^3)^(1/2)))/(a^4*b^4*(a + b)*(a*b + b^2)*(b^5*d^2 + a*b^4*d^2)^(1/2)*(b^4*d^2*(a + b))^(1/2)*(3*a^3 - 3*a*b^2 + b^3)) - (32*(3*a^5*(b^5*d^2 + a*b^4*d^2)^(1/2) + a^2*b^3*(b^5*d^2 + a*b^4*d^2)^(1/2) - 3*a^3*b^2*(b^5*d^2 + a*b^4*d^2)^(1/2)))/(a^2*b^6*d*(a + b)^2*(a*b + b^2)*(b^5*d^2 + a*b^4*d^2)^(1/2)*(a^3)^(1/2)*(3*a^3 - 3*a*b^2 + b^3))) + (32*exp(3*c)*exp(3*d*x)*(3*a^5*(b^5*d^2 + a*b^4*d^2)^(1/2) + a^2*b^3*(b^5*d^2 + a*b^4*d^2)^(1/2) - 3*a^3*b^2*(b^5*d^2 + a*b^4*d^2)^(1/2)))/(a^2*b^6*d*(a + b)^2*(a*b + b^2)*(b^5*d^2 + a*b^4*d^2)^(1/2)*(a^3)^(1/2)*(3*a^3 - 3*a*b^2 + b^3)))*((a^2*b^7*(b^5*d^2 + a*b^4*d^2)^(1/2))/64 + (a^3*b^6*(b^5*d^2 + a*b^4*d^2)^(1/2))/32 + (a^4*b^5*(b^5*d^2 + a*b^4*d^2)^(1/2))/64)) + 2*atan((a^2*exp(d*x)*exp(c)*(b^4*d^2*(a + b))^(1/2))/(2*b^2*d*(a + b)*(a^3)^(1/2)))))/(2*(b^5*d^2 + a*b^4*d^2)^(1/2)) - (atan((exp(d*x)*exp(c)*(18*a^7*(b^4*d^2)^(1/2) - b^7*(b^4*d^2)^(1/2) - 21*a^2*b^5*(b^4*d^2)^(1/2) + 12*a^3*b^4*(b^4*d^2)^(1/2) + 30*a^4*b^3*(b^4*d^2)^(1/2) - 36*a^5*b^2*(b^4*d^2)^(1/2) + 8*a*b^6*(b^4*d^2)^(1/2) - 9*a^6*b*(b^4*d^2)^(1/2)))/(b^8*d*(4*a^2 - 4*a*b + b^2)^(1/2) + 9*a^2*b^6*d*(4*a^2 - 4*a*b + b^2)^(1/2) + 6*a^3*b^5*d*(4*a^2 - 4*a*b + b^2)^(1/2) - 18*a^4*b^4*d*(4*a^2 - 4*a*b + b^2)^(1/2) + 9*a^6*b^2*d*(4*a^2 - 4*a*b + b^2)^(1/2) - 6*a*b^7*d*(4*a^2 - 4*a*b + b^2)^(1/2)))*(4*a^2 - 4*a*b + b^2)^(1/2))/(b^4*d^2)^(1/2) + exp(c + d*x)/(b*d*(exp(2*c + 2*d*x) + 1)) - (2*exp(c + d*x))/(b*d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1))","B"
82,1,334,77,1.990472,"\text{Not used}","int(1/(cosh(c + d*x)^6*(a + b/cosh(c + d*x)^2)),x)","\frac{8}{3\,b\,d\,\left(3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1\right)}-\frac{4}{b\,d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}+\frac{2\,a}{b^2\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{a^2\,\ln\left(\frac{4\,a^2\,\left(2\,a\,b+a^2+a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+8\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+8\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^5\,\left(a+b\right)}-\frac{8\,a^2\,\left(a+2\,a\,{\mathrm{e}}^{2\,c+2\,d\,x}+4\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^{9/2}\,\sqrt{a+b}}\right)}{2\,b^{5/2}\,d\,\sqrt{a+b}}+\frac{a^2\,\ln\left(\frac{8\,a^2\,\left(a+2\,a\,{\mathrm{e}}^{2\,c+2\,d\,x}+4\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^{9/2}\,\sqrt{a+b}}+\frac{4\,a^2\,\left(2\,a\,b+a^2+a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+8\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+8\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^5\,\left(a+b\right)}\right)}{2\,b^{5/2}\,d\,\sqrt{a+b}}","Not used",1,"8/(3*b*d*(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1)) - 4/(b*d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1)) + (2*a)/(b^2*d*(exp(2*c + 2*d*x) + 1)) - (a^2*log((4*a^2*(2*a*b + a^2 + a^2*exp(2*c + 2*d*x) + 8*b^2*exp(2*c + 2*d*x) + 8*a*b*exp(2*c + 2*d*x)))/(b^5*(a + b)) - (8*a^2*(a + 2*a*exp(2*c + 2*d*x) + 4*b*exp(2*c + 2*d*x)))/(b^(9/2)*(a + b)^(1/2))))/(2*b^(5/2)*d*(a + b)^(1/2)) + (a^2*log((8*a^2*(a + 2*a*exp(2*c + 2*d*x) + 4*b*exp(2*c + 2*d*x)))/(b^(9/2)*(a + b)^(1/2)) + (4*a^2*(2*a*b + a^2 + a^2*exp(2*c + 2*d*x) + 8*b^2*exp(2*c + 2*d*x) + 8*a*b*exp(2*c + 2*d*x)))/(b^5*(a + b))))/(2*b^(5/2)*d*(a + b)^(1/2))","B"
83,0,-1,125,0.000000,"\text{Not used}","int(cosh(c + d*x)^3/(a + b/cosh(c + d*x)^2)^2,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^3}{{\left(a+\frac{b}{{\mathrm{cosh}\left(c+d\,x\right)}^2}\right)}^2} \,d x","Not used",1,"int(cosh(c + d*x)^3/(a + b/cosh(c + d*x)^2)^2, x)","F"
84,0,-1,144,0.000000,"\text{Not used}","int(cosh(c + d*x)^2/(a + b/cosh(c + d*x)^2)^2,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^2}{{\left(a+\frac{b}{{\mathrm{cosh}\left(c+d\,x\right)}^2}\right)}^2} \,d x","Not used",1,"int(cosh(c + d*x)^2/(a + b/cosh(c + d*x)^2)^2, x)","F"
85,0,-1,100,0.000000,"\text{Not used}","int(cosh(c + d*x)/(a + b/cosh(c + d*x)^2)^2,x)","\int \frac{\mathrm{cosh}\left(c+d\,x\right)}{{\left(a+\frac{b}{{\mathrm{cosh}\left(c+d\,x\right)}^2}\right)}^2} \,d x","Not used",1,"int(cosh(c + d*x)/(a + b/cosh(c + d*x)^2)^2, x)","F"
86,0,-1,82,0.000000,"\text{Not used}","int(1/(cosh(c + d*x)*(a + b/cosh(c + d*x)^2)^2),x)","\int \frac{1}{\mathrm{cosh}\left(c+d\,x\right)\,{\left(a+\frac{b}{{\mathrm{cosh}\left(c+d\,x\right)}^2}\right)}^2} \,d x","Not used",1,"int(1/(cosh(c + d*x)*(a + b/cosh(c + d*x)^2)^2), x)","F"
87,0,-1,74,0.000000,"\text{Not used}","int(1/(cosh(c + d*x)^2*(a + b/cosh(c + d*x)^2)^2),x)","\int \frac{1}{{\mathrm{cosh}\left(c+d\,x\right)}^2\,{\left(a+\frac{b}{{\mathrm{cosh}\left(c+d\,x\right)}^2}\right)}^2} \,d x","Not used",1,"int(1/(cosh(c + d*x)^2*(a + b/cosh(c + d*x)^2)^2), x)","F"
88,0,-1,73,0.000000,"\text{Not used}","int(1/(cosh(c + d*x)^3*(a + b/cosh(c + d*x)^2)^2),x)","\int \frac{1}{{\mathrm{cosh}\left(c+d\,x\right)}^3\,{\left(a+\frac{b}{{\mathrm{cosh}\left(c+d\,x\right)}^2}\right)}^2} \,d x","Not used",1,"int(1/(cosh(c + d*x)^3*(a + b/cosh(c + d*x)^2)^2), x)","F"
89,0,-1,83,0.000000,"\text{Not used}","int(1/(cosh(c + d*x)^4*(a + b/cosh(c + d*x)^2)^2),x)","\int \frac{1}{{\mathrm{cosh}\left(c+d\,x\right)}^4\,{\left(a+\frac{b}{{\mathrm{cosh}\left(c+d\,x\right)}^2}\right)}^2} \,d x","Not used",1,"int(1/(cosh(c + d*x)^4*(a + b/cosh(c + d*x)^2)^2), x)","F"
90,0,-1,101,0.000000,"\text{Not used}","int(1/(cosh(c + d*x)^5*(a + b/cosh(c + d*x)^2)^2),x)","\int \frac{1}{{\mathrm{cosh}\left(c+d\,x\right)}^5\,{\left(a+\frac{b}{{\mathrm{cosh}\left(c+d\,x\right)}^2}\right)}^2} \,d x","Not used",1,"int(1/(cosh(c + d*x)^5*(a + b/cosh(c + d*x)^2)^2), x)","F"
91,0,-1,101,0.000000,"\text{Not used}","int(1/(cosh(c + d*x)^6*(a + b/cosh(c + d*x)^2)^2),x)","\int \frac{1}{{\mathrm{cosh}\left(c+d\,x\right)}^6\,{\left(a+\frac{b}{{\mathrm{cosh}\left(c+d\,x\right)}^2}\right)}^2} \,d x","Not used",1,"int(1/(cosh(c + d*x)^6*(a + b/cosh(c + d*x)^2)^2), x)","F"
92,0,-1,153,0.000000,"\text{Not used}","int(1/(cosh(c + d*x)^7*(a + b/cosh(c + d*x)^2)^2),x)","\int \frac{1}{{\mathrm{cosh}\left(c+d\,x\right)}^7\,{\left(a+\frac{b}{{\mathrm{cosh}\left(c+d\,x\right)}^2}\right)}^2} \,d x","Not used",1,"int(1/(cosh(c + d*x)^7*(a + b/cosh(c + d*x)^2)^2), x)","F"
93,0,-1,204,0.000000,"\text{Not used}","int(cosh(c + d*x)^2/(a + b/cosh(c + d*x)^2)^3,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^2}{{\left(a+\frac{b}{{\mathrm{cosh}\left(c+d\,x\right)}^2}\right)}^3} \,d x","Not used",1,"int(cosh(c + d*x)^2/(a + b/cosh(c + d*x)^2)^3, x)","F"
94,0,-1,154,0.000000,"\text{Not used}","int(cosh(c + d*x)/(a + b/cosh(c + d*x)^2)^3,x)","\int \frac{\mathrm{cosh}\left(c+d\,x\right)}{{\left(a+\frac{b}{{\mathrm{cosh}\left(c+d\,x\right)}^2}\right)}^3} \,d x","Not used",1,"int(cosh(c + d*x)/(a + b/cosh(c + d*x)^2)^3, x)","F"
95,0,-1,142,0.000000,"\text{Not used}","int(1/(cosh(c + d*x)*(a + b/cosh(c + d*x)^2)^3),x)","\int \frac{1}{\mathrm{cosh}\left(c+d\,x\right)\,{\left(a+\frac{b}{{\mathrm{cosh}\left(c+d\,x\right)}^2}\right)}^3} \,d x","Not used",1,"int(1/(cosh(c + d*x)*(a + b/cosh(c + d*x)^2)^3), x)","F"
96,0,-1,108,0.000000,"\text{Not used}","int(1/(cosh(c + d*x)^2*(a + b/cosh(c + d*x)^2)^3),x)","\int \frac{1}{{\mathrm{cosh}\left(c+d\,x\right)}^2\,{\left(a+\frac{b}{{\mathrm{cosh}\left(c+d\,x\right)}^2}\right)}^3} \,d x","Not used",1,"int(1/(cosh(c + d*x)^2*(a + b/cosh(c + d*x)^2)^3), x)","F"
97,0,-1,123,0.000000,"\text{Not used}","int(1/(cosh(c + d*x)^3*(a + b/cosh(c + d*x)^2)^3),x)","\int \frac{1}{{\mathrm{cosh}\left(c+d\,x\right)}^3\,{\left(a+\frac{b}{{\mathrm{cosh}\left(c+d\,x\right)}^2}\right)}^3} \,d x","Not used",1,"int(1/(cosh(c + d*x)^3*(a + b/cosh(c + d*x)^2)^3), x)","F"
98,0,-1,125,0.000000,"\text{Not used}","int(1/(cosh(c + d*x)^4*(a + b/cosh(c + d*x)^2)^3),x)","\int \frac{1}{{\mathrm{cosh}\left(c+d\,x\right)}^4\,{\left(a+\frac{b}{{\mathrm{cosh}\left(c+d\,x\right)}^2}\right)}^3} \,d x","Not used",1,"int(1/(cosh(c + d*x)^4*(a + b/cosh(c + d*x)^2)^3), x)","F"
99,0,-1,106,0.000000,"\text{Not used}","int(1/(cosh(c + d*x)^5*(a + b/cosh(c + d*x)^2)^3),x)","\int \frac{1}{{\mathrm{cosh}\left(c+d\,x\right)}^5\,{\left(a+\frac{b}{{\mathrm{cosh}\left(c+d\,x\right)}^2}\right)}^3} \,d x","Not used",1,"int(1/(cosh(c + d*x)^5*(a + b/cosh(c + d*x)^2)^3), x)","F"
100,0,-1,144,0.000000,"\text{Not used}","int(1/(cosh(c + d*x)^6*(a + b/cosh(c + d*x)^2)^3),x)","\int \frac{1}{{\mathrm{cosh}\left(c+d\,x\right)}^6\,{\left(a+\frac{b}{{\mathrm{cosh}\left(c+d\,x\right)}^2}\right)}^3} \,d x","Not used",1,"int(1/(cosh(c + d*x)^6*(a + b/cosh(c + d*x)^2)^3), x)","F"
101,0,-1,153,0.000000,"\text{Not used}","int(1/(cosh(c + d*x)^7*(a + b/cosh(c + d*x)^2)^3),x)","\int \frac{1}{{\mathrm{cosh}\left(c+d\,x\right)}^7\,{\left(a+\frac{b}{{\mathrm{cosh}\left(c+d\,x\right)}^2}\right)}^3} \,d x","Not used",1,"int(1/(cosh(c + d*x)^7*(a + b/cosh(c + d*x)^2)^3), x)","F"
102,1,433,48,1.544911,"\text{Not used}","int(tanh(c + d*x)^4*(a + b/cosh(c + d*x)^2),x)","a\,x+\frac{\frac{2\,\left(2\,a-3\,b\right)}{15\,d}+\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a+b\right)}{5\,d}+\frac{2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(2\,a-b\right)}{5\,d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1}+\frac{\frac{2\,\left(2\,a-b\right)}{5\,d}+\frac{8\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a+b\right)}{5\,d}+\frac{8\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(a+b\right)}{5\,d}+\frac{4\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(2\,a-3\,b\right)}{5\,d}+\frac{2\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(2\,a-b\right)}{5\,d}}{5\,{\mathrm{e}}^{2\,c+2\,d\,x}+10\,{\mathrm{e}}^{4\,c+4\,d\,x}+10\,{\mathrm{e}}^{6\,c+6\,d\,x}+5\,{\mathrm{e}}^{8\,c+8\,d\,x}+{\mathrm{e}}^{10\,c+10\,d\,x}+1}+\frac{\frac{2\,\left(a+b\right)}{5\,d}+\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(2\,a-b\right)}{5\,d}}{2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1}+\frac{\frac{2\,\left(a+b\right)}{5\,d}+\frac{6\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(a+b\right)}{5\,d}+\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(2\,a-3\,b\right)}{5\,d}+\frac{2\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(2\,a-b\right)}{5\,d}}{4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1}+\frac{2\,\left(2\,a-b\right)}{5\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"a*x + ((2*(2*a - 3*b))/(15*d) + (4*exp(2*c + 2*d*x)*(a + b))/(5*d) + (2*exp(4*c + 4*d*x)*(2*a - b))/(5*d))/(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1) + ((2*(2*a - b))/(5*d) + (8*exp(2*c + 2*d*x)*(a + b))/(5*d) + (8*exp(6*c + 6*d*x)*(a + b))/(5*d) + (4*exp(4*c + 4*d*x)*(2*a - 3*b))/(5*d) + (2*exp(8*c + 8*d*x)*(2*a - b))/(5*d))/(5*exp(2*c + 2*d*x) + 10*exp(4*c + 4*d*x) + 10*exp(6*c + 6*d*x) + 5*exp(8*c + 8*d*x) + exp(10*c + 10*d*x) + 1) + ((2*(a + b))/(5*d) + (2*exp(2*c + 2*d*x)*(2*a - b))/(5*d))/(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1) + ((2*(a + b))/(5*d) + (6*exp(4*c + 4*d*x)*(a + b))/(5*d) + (2*exp(2*c + 2*d*x)*(2*a - 3*b))/(5*d) + (2*exp(6*c + 6*d*x)*(2*a - b))/(5*d))/(4*exp(2*c + 2*d*x) + 6*exp(4*c + 4*d*x) + 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1) + (2*(2*a - b))/(5*d*(exp(2*c + 2*d*x) + 1))","B"
103,1,173,49,0.124567,"\text{Not used}","int(tanh(c + d*x)^3*(a + b/cosh(c + d*x)^2),x)","\frac{2\,\left(a-b\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-a\,x-\frac{2\,\left(a-3\,b\right)}{d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}-\frac{8\,b}{d\,\left(3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1\right)}+\frac{4\,b}{d\,\left(4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1\right)}+\frac{a\,\ln\left({\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+1\right)}{d}","Not used",1,"(2*(a - b))/(d*(exp(2*c + 2*d*x) + 1)) - a*x - (2*(a - 3*b))/(d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1)) - (8*b)/(d*(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1)) + (4*b)/(d*(4*exp(2*c + 2*d*x) + 6*exp(4*c + 4*d*x) + 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1)) + (a*log(exp(2*c)*exp(2*d*x) + 1))/d","B"
104,1,163,32,1.502609,"\text{Not used}","int(tanh(c + d*x)^2*(a + b/cosh(c + d*x)^2),x)","\frac{\frac{2\,\left(a+b\right)}{3\,d}+\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a-b\right)}{3\,d}}{2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1}+a\,x+\frac{\frac{2\,\left(a-b\right)}{3\,d}+\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a+b\right)}{3\,d}+\frac{2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(a-b\right)}{3\,d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1}+\frac{2\,\left(a-b\right)}{3\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"((2*(a + b))/(3*d) + (2*exp(2*c + 2*d*x)*(a - b))/(3*d))/(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1) + a*x + ((2*(a - b))/(3*d) + (4*exp(2*c + 2*d*x)*(a + b))/(3*d) + (2*exp(4*c + 4*d*x)*(a - b))/(3*d))/(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1) + (2*(a - b))/(3*d*(exp(2*c + 2*d*x) + 1))","B"
105,1,72,29,1.470118,"\text{Not used}","int(tanh(c + d*x)*(a + b/cosh(c + d*x)^2),x)","\frac{2\,b}{d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}-\frac{2\,b}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-a\,x+\frac{a\,\ln\left({\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+1\right)}{d}","Not used",1,"(2*b)/(d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1)) - (2*b)/(d*(exp(2*c + 2*d*x) + 1)) - a*x + (a*log(exp(2*c)*exp(2*d*x) + 1))/d","B"
106,1,23,15,1.394564,"\text{Not used}","int(a + b/cosh(c + d*x)^2,x)","a\,x-\frac{2\,b}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"a*x - (2*b)/(d*(exp(2*c + 2*d*x) + 1))","B"
107,1,167,28,0.172494,"\text{Not used}","int(coth(c + d*x)*(a + b/cosh(c + d*x)^2),x)","\frac{a\,\ln\left(4\,a^2\,{\mathrm{e}}^{4\,c}\,{\mathrm{e}}^{4\,d\,x}-4\,a^2-16\,b^2-16\,a\,b+16\,b^2\,{\mathrm{e}}^{4\,c}\,{\mathrm{e}}^{4\,d\,x}+16\,a\,b\,{\mathrm{e}}^{4\,c}\,{\mathrm{e}}^{4\,d\,x}\right)}{2\,d}-a\,x-\frac{\mathrm{atan}\left(\frac{a\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\,\sqrt{-d^2}}{d\,\sqrt{a^2+4\,a\,b+4\,b^2}}+\frac{2\,b\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\,\sqrt{-d^2}}{d\,\sqrt{a^2+4\,a\,b+4\,b^2}}\right)\,\sqrt{a^2+4\,a\,b+4\,b^2}}{\sqrt{-d^2}}","Not used",1,"(a*log(4*a^2*exp(4*c)*exp(4*d*x) - 4*a^2 - 16*b^2 - 16*a*b + 16*b^2*exp(4*c)*exp(4*d*x) + 16*a*b*exp(4*c)*exp(4*d*x)))/(2*d) - a*x - (atan((a*exp(2*c)*exp(2*d*x)*(-d^2)^(1/2))/(d*(4*a*b + a^2 + 4*b^2)^(1/2)) + (2*b*exp(2*c)*exp(2*d*x)*(-d^2)^(1/2))/(d*(4*a*b + a^2 + 4*b^2)^(1/2)))*(4*a*b + a^2 + 4*b^2)^(1/2))/(-d^2)^(1/2)","B"
108,1,25,18,0.110774,"\text{Not used}","int(coth(c + d*x)^2*(a + b/cosh(c + d*x)^2),x)","a\,x-\frac{2\,\left(a+b\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}","Not used",1,"a*x - (2*(a + b))/(d*(exp(2*c + 2*d*x) - 1))","B"
109,1,76,31,1.414413,"\text{Not used}","int(coth(c + d*x)^3*(a + b/cosh(c + d*x)^2),x)","\frac{a\,\ln\left({\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}-1\right)}{d}-a\,x-\frac{2\,\left(a+b\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{2\,\left(a+b\right)}{d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"(a*log(exp(2*c)*exp(2*d*x) - 1))/d - a*x - (2*(a + b))/(d*(exp(2*c + 2*d*x) - 1)) - (2*(a + b))/(d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1))","B"
110,1,161,34,1.491646,"\text{Not used}","int(coth(c + d*x)^4*(a + b/cosh(c + d*x)^2),x)","a\,x-\frac{\frac{2\,b}{3\,d}+\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(2\,a+b\right)}{3\,d}}{{\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1}-\frac{\frac{2\,\left(2\,a+b\right)}{3\,d}+\frac{4\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}}{3\,d}+\frac{2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(2\,a+b\right)}{3\,d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}-3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}-1}-\frac{2\,\left(2\,a+b\right)}{3\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}","Not used",1,"a*x - ((2*b)/(3*d) + (2*exp(2*c + 2*d*x)*(2*a + b))/(3*d))/(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1) - ((2*(2*a + b))/(3*d) + (4*b*exp(2*c + 2*d*x))/(3*d) + (2*exp(4*c + 4*d*x)*(2*a + b))/(3*d))/(3*exp(2*c + 2*d*x) - 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) - 1) - (2*(2*a + b))/(3*d*(exp(2*c + 2*d*x) - 1))","B"
111,1,179,51,0.110216,"\text{Not used}","int(coth(c + d*x)^5*(a + b/cosh(c + d*x)^2),x)","\frac{a\,\ln\left({\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}-1\right)}{d}-\frac{8\,\left(a+b\right)}{d\,\left(3\,{\mathrm{e}}^{2\,c+2\,d\,x}-3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}-1\right)}-\frac{2\,\left(2\,a+b\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{4\,\left(a+b\right)}{d\,\left(6\,{\mathrm{e}}^{4\,c+4\,d\,x}-4\,{\mathrm{e}}^{2\,c+2\,d\,x}-4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1\right)}-a\,x-\frac{2\,\left(4\,a+3\,b\right)}{d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"(a*log(exp(2*c)*exp(2*d*x) - 1))/d - (8*(a + b))/(d*(3*exp(2*c + 2*d*x) - 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) - 1)) - (2*(2*a + b))/(d*(exp(2*c + 2*d*x) - 1)) - (4*(a + b))/(d*(6*exp(4*c + 4*d*x) - 4*exp(2*c + 2*d*x) - 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1)) - a*x - (2*(4*a + 3*b))/(d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1))","B"
112,1,1022,77,0.183411,"\text{Not used}","int(tanh(c + d*x)^4*(a + b/cosh(c + d*x)^2)^2,x)","\frac{\frac{4\,\left(7\,a^2+a\,b+8\,b^2\right)}{105\,d}-\frac{4\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(a\,b-a^2\right)}{7\,d}-\frac{16\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(-2\,a^2+a\,b+3\,b^2\right)}{35\,d}+\frac{16\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(2\,a^2+a\,b-b^2\right)}{21\,d}+\frac{8\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(7\,a^2+a\,b+8\,b^2\right)}{35\,d}}{5\,{\mathrm{e}}^{2\,c+2\,d\,x}+10\,{\mathrm{e}}^{4\,c+4\,d\,x}+10\,{\mathrm{e}}^{6\,c+6\,d\,x}+5\,{\mathrm{e}}^{8\,c+8\,d\,x}+{\mathrm{e}}^{10\,c+10\,d\,x}+1}-\frac{\frac{4\,\left(-2\,a^2+a\,b+3\,b^2\right)}{35\,d}+\frac{4\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(a\,b-a^2\right)}{7\,d}-\frac{4\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(2\,a^2+a\,b-b^2\right)}{7\,d}-\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(7\,a^2+a\,b+8\,b^2\right)}{35\,d}}{4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1}+a^2\,x+\frac{\frac{4\,\left(7\,a^2+a\,b+8\,b^2\right)}{105\,d}-\frac{4\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(a\,b-a^2\right)}{7\,d}+\frac{8\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(2\,a^2+a\,b-b^2\right)}{21\,d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1}+\frac{\frac{8\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(2\,a^2+a\,b-b^2\right)}{7\,d}-\frac{4\,{\mathrm{e}}^{12\,c+12\,d\,x}\,\left(a\,b-a^2\right)}{7\,d}-\frac{4\,\left(a\,b-a^2\right)}{7\,d}-\frac{16\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(-2\,a^2+a\,b+3\,b^2\right)}{7\,d}+\frac{4\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(7\,a^2+a\,b+8\,b^2\right)}{7\,d}+\frac{8\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(2\,a^2+a\,b-b^2\right)}{7\,d}+\frac{4\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(7\,a^2+a\,b+8\,b^2\right)}{7\,d}}{7\,{\mathrm{e}}^{2\,c+2\,d\,x}+21\,{\mathrm{e}}^{4\,c+4\,d\,x}+35\,{\mathrm{e}}^{6\,c+6\,d\,x}+35\,{\mathrm{e}}^{8\,c+8\,d\,x}+21\,{\mathrm{e}}^{10\,c+10\,d\,x}+7\,{\mathrm{e}}^{12\,c+12\,d\,x}+{\mathrm{e}}^{14\,c+14\,d\,x}+1}+\frac{\frac{4\,\left(2\,a^2+a\,b-b^2\right)}{21\,d}-\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a\,b-a^2\right)}{7\,d}}{2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1}+\frac{\frac{4\,\left(2\,a^2+a\,b-b^2\right)}{21\,d}-\frac{4\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(a\,b-a^2\right)}{7\,d}-\frac{8\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(-2\,a^2+a\,b+3\,b^2\right)}{7\,d}+\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(7\,a^2+a\,b+8\,b^2\right)}{21\,d}+\frac{20\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(2\,a^2+a\,b-b^2\right)}{21\,d}+\frac{8\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(7\,a^2+a\,b+8\,b^2\right)}{21\,d}}{6\,{\mathrm{e}}^{2\,c+2\,d\,x}+15\,{\mathrm{e}}^{4\,c+4\,d\,x}+20\,{\mathrm{e}}^{6\,c+6\,d\,x}+15\,{\mathrm{e}}^{8\,c+8\,d\,x}+6\,{\mathrm{e}}^{10\,c+10\,d\,x}+{\mathrm{e}}^{12\,c+12\,d\,x}+1}-\frac{4\,\left(a\,b-a^2\right)}{7\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"((4*(a*b + 7*a^2 + 8*b^2))/(105*d) - (4*exp(8*c + 8*d*x)*(a*b - a^2))/(7*d) - (16*exp(2*c + 2*d*x)*(a*b - 2*a^2 + 3*b^2))/(35*d) + (16*exp(6*c + 6*d*x)*(a*b + 2*a^2 - b^2))/(21*d) + (8*exp(4*c + 4*d*x)*(a*b + 7*a^2 + 8*b^2))/(35*d))/(5*exp(2*c + 2*d*x) + 10*exp(4*c + 4*d*x) + 10*exp(6*c + 6*d*x) + 5*exp(8*c + 8*d*x) + exp(10*c + 10*d*x) + 1) - ((4*(a*b - 2*a^2 + 3*b^2))/(35*d) + (4*exp(6*c + 6*d*x)*(a*b - a^2))/(7*d) - (4*exp(4*c + 4*d*x)*(a*b + 2*a^2 - b^2))/(7*d) - (4*exp(2*c + 2*d*x)*(a*b + 7*a^2 + 8*b^2))/(35*d))/(4*exp(2*c + 2*d*x) + 6*exp(4*c + 4*d*x) + 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1) + a^2*x + ((4*(a*b + 7*a^2 + 8*b^2))/(105*d) - (4*exp(4*c + 4*d*x)*(a*b - a^2))/(7*d) + (8*exp(2*c + 2*d*x)*(a*b + 2*a^2 - b^2))/(21*d))/(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1) + ((8*exp(2*c + 2*d*x)*(a*b + 2*a^2 - b^2))/(7*d) - (4*exp(12*c + 12*d*x)*(a*b - a^2))/(7*d) - (4*(a*b - a^2))/(7*d) - (16*exp(6*c + 6*d*x)*(a*b - 2*a^2 + 3*b^2))/(7*d) + (4*exp(4*c + 4*d*x)*(a*b + 7*a^2 + 8*b^2))/(7*d) + (8*exp(10*c + 10*d*x)*(a*b + 2*a^2 - b^2))/(7*d) + (4*exp(8*c + 8*d*x)*(a*b + 7*a^2 + 8*b^2))/(7*d))/(7*exp(2*c + 2*d*x) + 21*exp(4*c + 4*d*x) + 35*exp(6*c + 6*d*x) + 35*exp(8*c + 8*d*x) + 21*exp(10*c + 10*d*x) + 7*exp(12*c + 12*d*x) + exp(14*c + 14*d*x) + 1) + ((4*(a*b + 2*a^2 - b^2))/(21*d) - (4*exp(2*c + 2*d*x)*(a*b - a^2))/(7*d))/(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1) + ((4*(a*b + 2*a^2 - b^2))/(21*d) - (4*exp(10*c + 10*d*x)*(a*b - a^2))/(7*d) - (8*exp(4*c + 4*d*x)*(a*b - 2*a^2 + 3*b^2))/(7*d) + (4*exp(2*c + 2*d*x)*(a*b + 7*a^2 + 8*b^2))/(21*d) + (20*exp(8*c + 8*d*x)*(a*b + 2*a^2 - b^2))/(21*d) + (8*exp(6*c + 6*d*x)*(a*b + 7*a^2 + 8*b^2))/(21*d))/(6*exp(2*c + 2*d*x) + 15*exp(4*c + 4*d*x) + 20*exp(6*c + 6*d*x) + 15*exp(8*c + 8*d*x) + 6*exp(10*c + 10*d*x) + exp(12*c + 12*d*x) + 1) - (4*(a*b - a^2))/(7*d*(exp(2*c + 2*d*x) + 1))","B"
113,1,349,77,1.522301,"\text{Not used}","int(tanh(c + d*x)^3*(a + b/cosh(c + d*x)^2)^2,x)","\frac{4\,\left(2\,a\,b-9\,b^2\right)}{d\,\left(4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1\right)}-\frac{32\,b^2}{3\,d\,\left(6\,{\mathrm{e}}^{2\,c+2\,d\,x}+15\,{\mathrm{e}}^{4\,c+4\,d\,x}+20\,{\mathrm{e}}^{6\,c+6\,d\,x}+15\,{\mathrm{e}}^{8\,c+8\,d\,x}+6\,{\mathrm{e}}^{10\,c+10\,d\,x}+{\mathrm{e}}^{12\,c+12\,d\,x}+1\right)}-\frac{2\,\left(a^2-6\,a\,b+2\,b^2\right)}{d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}-\frac{2\,\left(2\,a\,b-a^2\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{8\,\left(6\,a\,b-7\,b^2\right)}{3\,d\,\left(3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1\right)}-a^2\,x+\frac{a^2\,\ln\left({\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+1\right)}{d}+\frac{32\,b^2}{d\,\left(5\,{\mathrm{e}}^{2\,c+2\,d\,x}+10\,{\mathrm{e}}^{4\,c+4\,d\,x}+10\,{\mathrm{e}}^{6\,c+6\,d\,x}+5\,{\mathrm{e}}^{8\,c+8\,d\,x}+{\mathrm{e}}^{10\,c+10\,d\,x}+1\right)}","Not used",1,"(4*(2*a*b - 9*b^2))/(d*(4*exp(2*c + 2*d*x) + 6*exp(4*c + 4*d*x) + 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1)) - (32*b^2)/(3*d*(6*exp(2*c + 2*d*x) + 15*exp(4*c + 4*d*x) + 20*exp(6*c + 6*d*x) + 15*exp(8*c + 8*d*x) + 6*exp(10*c + 10*d*x) + exp(12*c + 12*d*x) + 1)) - (2*(a^2 - 6*a*b + 2*b^2))/(d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1)) - (2*(2*a*b - a^2))/(d*(exp(2*c + 2*d*x) + 1)) - (8*(6*a*b - 7*b^2))/(3*d*(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1)) - a^2*x + (a^2*log(exp(2*c)*exp(2*d*x) + 1))/d + (32*b^2)/(d*(5*exp(2*c + 2*d*x) + 10*exp(4*c + 4*d*x) + 10*exp(6*c + 6*d*x) + 5*exp(8*c + 8*d*x) + exp(10*c + 10*d*x) + 1))","B"
114,1,513,59,0.141836,"\text{Not used}","int(tanh(c + d*x)^2*(a + b/cosh(c + d*x)^2)^2,x)","\frac{\frac{8\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a^2-b^2\right)}{5\,d}-\frac{2\,\left(2\,a\,b-a^2\right)}{5\,d}+\frac{8\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(a^2-b^2\right)}{5\,d}-\frac{2\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(2\,a\,b-a^2\right)}{5\,d}+\frac{4\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(3\,a^2+2\,a\,b+4\,b^2\right)}{5\,d}}{5\,{\mathrm{e}}^{2\,c+2\,d\,x}+10\,{\mathrm{e}}^{4\,c+4\,d\,x}+10\,{\mathrm{e}}^{6\,c+6\,d\,x}+5\,{\mathrm{e}}^{8\,c+8\,d\,x}+{\mathrm{e}}^{10\,c+10\,d\,x}+1}+\frac{\frac{2\,\left(3\,a^2+2\,a\,b+4\,b^2\right)}{15\,d}+\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a^2-b^2\right)}{5\,d}-\frac{2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(2\,a\,b-a^2\right)}{5\,d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1}+\frac{\frac{2\,\left(a^2-b^2\right)}{5\,d}-\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(2\,a\,b-a^2\right)}{5\,d}}{2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1}+\frac{\frac{2\,\left(a^2-b^2\right)}{5\,d}+\frac{6\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(a^2-b^2\right)}{5\,d}-\frac{2\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(2\,a\,b-a^2\right)}{5\,d}+\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(3\,a^2+2\,a\,b+4\,b^2\right)}{5\,d}}{4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1}+a^2\,x-\frac{2\,\left(2\,a\,b-a^2\right)}{5\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"((8*exp(2*c + 2*d*x)*(a^2 - b^2))/(5*d) - (2*(2*a*b - a^2))/(5*d) + (8*exp(6*c + 6*d*x)*(a^2 - b^2))/(5*d) - (2*exp(8*c + 8*d*x)*(2*a*b - a^2))/(5*d) + (4*exp(4*c + 4*d*x)*(2*a*b + 3*a^2 + 4*b^2))/(5*d))/(5*exp(2*c + 2*d*x) + 10*exp(4*c + 4*d*x) + 10*exp(6*c + 6*d*x) + 5*exp(8*c + 8*d*x) + exp(10*c + 10*d*x) + 1) + ((2*(2*a*b + 3*a^2 + 4*b^2))/(15*d) + (4*exp(2*c + 2*d*x)*(a^2 - b^2))/(5*d) - (2*exp(4*c + 4*d*x)*(2*a*b - a^2))/(5*d))/(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1) + ((2*(a^2 - b^2))/(5*d) - (2*exp(2*c + 2*d*x)*(2*a*b - a^2))/(5*d))/(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1) + ((2*(a^2 - b^2))/(5*d) + (6*exp(4*c + 4*d*x)*(a^2 - b^2))/(5*d) - (2*exp(6*c + 6*d*x)*(2*a*b - a^2))/(5*d) + (2*exp(2*c + 2*d*x)*(2*a*b + 3*a^2 + 4*b^2))/(5*d))/(4*exp(2*c + 2*d*x) + 6*exp(4*c + 4*d*x) + 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1) + a^2*x - (2*(2*a*b - a^2))/(5*d*(exp(2*c + 2*d*x) + 1))","B"
115,1,182,48,1.689176,"\text{Not used}","int(tanh(c + d*x)*(a + b/cosh(c + d*x)^2)^2,x)","\frac{4\,\left(a\,b-b^2\right)}{d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}-a^2\,x+\frac{8\,b^2}{d\,\left(3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1\right)}-\frac{4\,b^2}{d\,\left(4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1\right)}+\frac{a^2\,\ln\left({\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+1\right)}{d}-\frac{4\,a\,b}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"(4*(a*b - b^2))/(d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1)) - a^2*x + (8*b^2)/(d*(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1)) - (4*b^2)/(d*(4*exp(2*c + 2*d*x) + 6*exp(4*c + 4*d*x) + 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1)) + (a^2*log(exp(2*c)*exp(2*d*x) + 1))/d - (4*a*b)/(d*(exp(2*c + 2*d*x) + 1))","B"
116,1,163,40,1.457925,"\text{Not used}","int((a + b/cosh(c + d*x)^2)^2,x)","a^2\,x-\frac{\frac{4\,\left(b^2+a\,b\right)}{3\,d}+\frac{4\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}}{3\,d}}{2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1}-\frac{\frac{8\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(b^2+a\,b\right)}{3\,d}+\frac{4\,a\,b}{3\,d}+\frac{4\,a\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}}{3\,d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1}-\frac{4\,a\,b}{3\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"a^2*x - ((4*(a*b + b^2))/(3*d) + (4*a*b*exp(2*c + 2*d*x))/(3*d))/(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1) - ((8*exp(2*c + 2*d*x)*(a*b + b^2))/(3*d) + (4*a*b)/(3*d) + (4*a*b*exp(4*c + 4*d*x))/(3*d))/(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1) - (4*a*b)/(3*d*(exp(2*c + 2*d*x) + 1))","B"
117,1,308,53,0.296255,"\text{Not used}","int(coth(c + d*x)*(a + b/cosh(c + d*x)^2)^2,x)","\frac{2\,b^2}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-a^2\,x+\frac{a^2\,\ln\left({\mathrm{e}}^{4\,c+4\,d\,x}-1\right)}{2\,d}-\frac{2\,b^2}{d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}-\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\,\left(a^4\,\sqrt{-d^2}+4\,b^4\,\sqrt{-d^2}+16\,a\,b^3\,\sqrt{-d^2}+8\,a^3\,b\,\sqrt{-d^2}+20\,a^2\,b^2\,\sqrt{-d^2}\right)}{a^2\,d\,\sqrt{a^4+8\,a^3\,b+20\,a^2\,b^2+16\,a\,b^3+4\,b^4}+2\,b^2\,d\,\sqrt{a^4+8\,a^3\,b+20\,a^2\,b^2+16\,a\,b^3+4\,b^4}+4\,a\,b\,d\,\sqrt{a^4+8\,a^3\,b+20\,a^2\,b^2+16\,a\,b^3+4\,b^4}}\right)\,\sqrt{a^4+8\,a^3\,b+20\,a^2\,b^2+16\,a\,b^3+4\,b^4}}{\sqrt{-d^2}}","Not used",1,"(2*b^2)/(d*(exp(2*c + 2*d*x) + 1)) - a^2*x + (a^2*log(exp(4*c + 4*d*x) - 1))/(2*d) - (2*b^2)/(d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1)) - (atan((exp(2*c)*exp(2*d*x)*(a^4*(-d^2)^(1/2) + 4*b^4*(-d^2)^(1/2) + 16*a*b^3*(-d^2)^(1/2) + 8*a^3*b*(-d^2)^(1/2) + 20*a^2*b^2*(-d^2)^(1/2)))/(a^2*d*(16*a*b^3 + 8*a^3*b + a^4 + 4*b^4 + 20*a^2*b^2)^(1/2) + 2*b^2*d*(16*a*b^3 + 8*a^3*b + a^4 + 4*b^4 + 20*a^2*b^2)^(1/2) + 4*a*b*d*(16*a*b^3 + 8*a^3*b + a^4 + 4*b^4 + 20*a^2*b^2)^(1/2)))*(16*a*b^3 + 8*a^3*b + a^4 + 4*b^4 + 20*a^2*b^2)^(1/2))/(-d^2)^(1/2)","B"
118,1,60,36,1.421518,"\text{Not used}","int(coth(c + d*x)^2*(a + b/cosh(c + d*x)^2)^2,x)","a^2\,x-\frac{\frac{2\,\left(a^2+2\,a\,b+2\,b^2\right)}{d}+\frac{2\,a\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a+2\,b\right)}{d}}{{\mathrm{e}}^{4\,c+4\,d\,x}-1}","Not used",1,"a^2*x - ((2*(2*a*b + a^2 + 2*b^2))/d + (2*a*exp(2*c + 2*d*x)*(a + 2*b))/d)/(exp(4*c + 4*d*x) - 1)","B"
119,1,240,55,0.220271,"\text{Not used}","int(coth(c + d*x)^3*(a + b/cosh(c + d*x)^2)^2,x)","\frac{\ln\left({\mathrm{e}}^{4\,c+4\,d\,x}-1\right)\,\left(d\,\left(a^2-b^2\right)+b^2\,d\right)}{2\,d^2}-a^2\,x-\frac{2\,\left(a^2+2\,a\,b+b^2\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\,\left(a^4\,\sqrt{-d^2}+4\,b^4\,\sqrt{-d^2}-4\,a^2\,b^2\,\sqrt{-d^2}\right)}{a^2\,d\,\sqrt{a^4-4\,a^2\,b^2+4\,b^4}-2\,b^2\,d\,\sqrt{a^4-4\,a^2\,b^2+4\,b^4}}\right)\,\sqrt{a^4-4\,a^2\,b^2+4\,b^4}}{\sqrt{-d^2}}-\frac{2\,\left(a^2+2\,a\,b+b^2\right)}{d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"(log(exp(4*c + 4*d*x) - 1)*(d*(a^2 - b^2) + b^2*d))/(2*d^2) - a^2*x - (2*(2*a*b + a^2 + b^2))/(d*(exp(2*c + 2*d*x) - 1)) - (atan((exp(2*c)*exp(2*d*x)*(a^4*(-d^2)^(1/2) + 4*b^4*(-d^2)^(1/2) - 4*a^2*b^2*(-d^2)^(1/2)))/(a^2*d*(a^4 + 4*b^4 - 4*a^2*b^2)^(1/2) - 2*b^2*d*(a^4 + 4*b^4 - 4*a^2*b^2)^(1/2)))*(a^4 + 4*b^4 - 4*a^2*b^2)^(1/2))/(-d^2)^(1/2) - (2*(2*a*b + a^2 + b^2))/(d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1))","B"
120,1,183,46,1.424431,"\text{Not used}","int(coth(c + d*x)^4*(a + b/cosh(c + d*x)^2)^2,x)","a^2\,x-\frac{\frac{4\,\left(a^2+b\,a\right)}{3\,d}+\frac{4\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(a^2+b\,a\right)}{3\,d}+\frac{8\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(b^2+a\,b\right)}{3\,d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}-3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}-1}-\frac{\frac{4\,\left(b^2+a\,b\right)}{3\,d}+\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a^2+b\,a\right)}{3\,d}}{{\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1}-\frac{4\,\left(a^2+b\,a\right)}{3\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}","Not used",1,"a^2*x - ((4*(a*b + a^2))/(3*d) + (4*exp(4*c + 4*d*x)*(a*b + a^2))/(3*d) + (8*exp(2*c + 2*d*x)*(a*b + b^2))/(3*d))/(3*exp(2*c + 2*d*x) - 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) - 1) - ((4*(a*b + b^2))/(3*d) + (4*exp(2*c + 2*d*x)*(a*b + a^2))/(3*d))/(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1) - (4*(a*b + a^2))/(3*d*(exp(2*c + 2*d*x) - 1))","B"
121,1,207,52,1.466179,"\text{Not used}","int(coth(c + d*x)^5*(a + b/cosh(c + d*x)^2)^2,x)","\frac{a^2\,\ln\left({\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}-1\right)}{d}-\frac{4\,\left(a^2+2\,a\,b+b^2\right)}{d\,\left(6\,{\mathrm{e}}^{4\,c+4\,d\,x}-4\,{\mathrm{e}}^{2\,c+2\,d\,x}-4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1\right)}-\frac{4\,\left(2\,a^2+3\,a\,b+b^2\right)}{d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-a^2\,x-\frac{4\,\left(a^2+b\,a\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{8\,\left(a^2+2\,a\,b+b^2\right)}{d\,\left(3\,{\mathrm{e}}^{2\,c+2\,d\,x}-3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}-1\right)}","Not used",1,"(a^2*log(exp(2*c)*exp(2*d*x) - 1))/d - (4*(2*a*b + a^2 + b^2))/(d*(6*exp(4*c + 4*d*x) - 4*exp(2*c + 2*d*x) - 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1)) - (4*(3*a*b + 2*a^2 + b^2))/(d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) - a^2*x - (4*(a*b + a^2))/(d*(exp(2*c + 2*d*x) - 1)) - (8*(2*a*b + a^2 + b^2))/(d*(3*exp(2*c + 2*d*x) - 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) - 1))","B"
122,1,511,64,1.438504,"\text{Not used}","int(coth(c + d*x)^6*(a + b/cosh(c + d*x)^2)^2,x)","a^2\,x-\frac{\frac{2\,\left(5\,a^2+6\,a\,b+4\,b^2\right)}{15\,d}+\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(b^2+2\,a\,b\right)}{5\,d}+\frac{2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(3\,a^2+2\,b\,a\right)}{5\,d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}-3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}-1}-\frac{\frac{2\,\left(b^2+2\,a\,b\right)}{5\,d}+\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(3\,a^2+2\,b\,a\right)}{5\,d}}{{\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1}-\frac{\frac{2\,\left(b^2+2\,a\,b\right)}{5\,d}+\frac{6\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(b^2+2\,a\,b\right)}{5\,d}+\frac{2\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(3\,a^2+2\,b\,a\right)}{5\,d}+\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(5\,a^2+6\,a\,b+4\,b^2\right)}{5\,d}}{6\,{\mathrm{e}}^{4\,c+4\,d\,x}-4\,{\mathrm{e}}^{2\,c+2\,d\,x}-4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1}-\frac{\frac{2\,\left(3\,a^2+2\,b\,a\right)}{5\,d}+\frac{8\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(b^2+2\,a\,b\right)}{5\,d}+\frac{8\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(b^2+2\,a\,b\right)}{5\,d}+\frac{2\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(3\,a^2+2\,b\,a\right)}{5\,d}+\frac{4\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(5\,a^2+6\,a\,b+4\,b^2\right)}{5\,d}}{5\,{\mathrm{e}}^{2\,c+2\,d\,x}-10\,{\mathrm{e}}^{4\,c+4\,d\,x}+10\,{\mathrm{e}}^{6\,c+6\,d\,x}-5\,{\mathrm{e}}^{8\,c+8\,d\,x}+{\mathrm{e}}^{10\,c+10\,d\,x}-1}-\frac{2\,\left(3\,a^2+2\,b\,a\right)}{5\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}","Not used",1,"a^2*x - ((2*(6*a*b + 5*a^2 + 4*b^2))/(15*d) + (4*exp(2*c + 2*d*x)*(2*a*b + b^2))/(5*d) + (2*exp(4*c + 4*d*x)*(2*a*b + 3*a^2))/(5*d))/(3*exp(2*c + 2*d*x) - 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) - 1) - ((2*(2*a*b + b^2))/(5*d) + (2*exp(2*c + 2*d*x)*(2*a*b + 3*a^2))/(5*d))/(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1) - ((2*(2*a*b + b^2))/(5*d) + (6*exp(4*c + 4*d*x)*(2*a*b + b^2))/(5*d) + (2*exp(6*c + 6*d*x)*(2*a*b + 3*a^2))/(5*d) + (2*exp(2*c + 2*d*x)*(6*a*b + 5*a^2 + 4*b^2))/(5*d))/(6*exp(4*c + 4*d*x) - 4*exp(2*c + 2*d*x) - 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1) - ((2*(2*a*b + 3*a^2))/(5*d) + (8*exp(2*c + 2*d*x)*(2*a*b + b^2))/(5*d) + (8*exp(6*c + 6*d*x)*(2*a*b + b^2))/(5*d) + (2*exp(8*c + 8*d*x)*(2*a*b + 3*a^2))/(5*d) + (4*exp(4*c + 4*d*x)*(6*a*b + 5*a^2 + 4*b^2))/(5*d))/(5*exp(2*c + 2*d*x) - 10*exp(4*c + 4*d*x) + 10*exp(6*c + 6*d*x) - 5*exp(8*c + 8*d*x) + exp(10*c + 10*d*x) - 1) - (2*(2*a*b + 3*a^2))/(5*d*(exp(2*c + 2*d*x) - 1))","B"
123,1,377,86,1.530422,"\text{Not used}","int(coth(c + d*x)^7*(a + b/cosh(c + d*x)^2)^2,x)","\frac{a^2\,\ln\left({\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}-1\right)}{d}-\frac{32\,\left(a^2+2\,a\,b+b^2\right)}{d\,\left(5\,{\mathrm{e}}^{2\,c+2\,d\,x}-10\,{\mathrm{e}}^{4\,c+4\,d\,x}+10\,{\mathrm{e}}^{6\,c+6\,d\,x}-5\,{\mathrm{e}}^{8\,c+8\,d\,x}+{\mathrm{e}}^{10\,c+10\,d\,x}-1\right)}-\frac{2\,\left(3\,a^2+2\,b\,a\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{32\,\left(a^2+2\,a\,b+b^2\right)}{3\,d\,\left(15\,{\mathrm{e}}^{4\,c+4\,d\,x}-6\,{\mathrm{e}}^{2\,c+2\,d\,x}-20\,{\mathrm{e}}^{6\,c+6\,d\,x}+15\,{\mathrm{e}}^{8\,c+8\,d\,x}-6\,{\mathrm{e}}^{10\,c+10\,d\,x}+{\mathrm{e}}^{12\,c+12\,d\,x}+1\right)}-\frac{2\,\left(9\,a^2+10\,a\,b+2\,b^2\right)}{d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{8\,\left(13\,a^2+20\,a\,b+7\,b^2\right)}{3\,d\,\left(3\,{\mathrm{e}}^{2\,c+2\,d\,x}-3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}-1\right)}-\frac{4\,\left(11\,a^2+20\,a\,b+9\,b^2\right)}{d\,\left(6\,{\mathrm{e}}^{4\,c+4\,d\,x}-4\,{\mathrm{e}}^{2\,c+2\,d\,x}-4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1\right)}-a^2\,x","Not used",1,"(a^2*log(exp(2*c)*exp(2*d*x) - 1))/d - (32*(2*a*b + a^2 + b^2))/(d*(5*exp(2*c + 2*d*x) - 10*exp(4*c + 4*d*x) + 10*exp(6*c + 6*d*x) - 5*exp(8*c + 8*d*x) + exp(10*c + 10*d*x) - 1)) - (2*(2*a*b + 3*a^2))/(d*(exp(2*c + 2*d*x) - 1)) - (32*(2*a*b + a^2 + b^2))/(3*d*(15*exp(4*c + 4*d*x) - 6*exp(2*c + 2*d*x) - 20*exp(6*c + 6*d*x) + 15*exp(8*c + 8*d*x) - 6*exp(10*c + 10*d*x) + exp(12*c + 12*d*x) + 1)) - (2*(10*a*b + 9*a^2 + 2*b^2))/(d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) - (8*(20*a*b + 13*a^2 + 7*b^2))/(3*d*(3*exp(2*c + 2*d*x) - 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) - 1)) - (4*(20*a*b + 11*a^2 + 9*b^2))/(d*(6*exp(4*c + 4*d*x) - 4*exp(2*c + 2*d*x) - 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1)) - a^2*x","B"
124,1,1834,110,1.622875,"\text{Not used}","int(tanh(c + d*x)^4*(a + b/cosh(c + d*x)^2)^3,x)","\frac{\frac{13\,a^3+3\,a\,b^2+16\,b^3}{63\,d}+\frac{10\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(13\,a^3+3\,a\,b^2+16\,b^3\right)}{63\,d}+\frac{20\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(8\,a^3+3\,a^2\,b+6\,a\,b^2-4\,b^3\right)}{63\,d}-\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(-10\,a^3+3\,a^2\,b+8\,a\,b^2+16\,b^3\right)}{21\,d}-\frac{5\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(a\,b^2-a^3\right)}{3\,d}-\frac{2\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(3\,a^2\,b-2\,a^3\right)}{9\,d}}{6\,{\mathrm{e}}^{2\,c+2\,d\,x}+15\,{\mathrm{e}}^{4\,c+4\,d\,x}+20\,{\mathrm{e}}^{6\,c+6\,d\,x}+15\,{\mathrm{e}}^{8\,c+8\,d\,x}+6\,{\mathrm{e}}^{10\,c+10\,d\,x}+{\mathrm{e}}^{12\,c+12\,d\,x}+1}-\frac{\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a\,b^2-a^3\right)}{3\,d}-\frac{2\,\left(8\,a^3+3\,a^2\,b+6\,a\,b^2-4\,b^3\right)}{63\,d}+\frac{2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(3\,a^2\,b-2\,a^3\right)}{9\,d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1}+\frac{\frac{13\,a^3+3\,a\,b^2+16\,b^3}{63\,d}+\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(8\,a^3+3\,a^2\,b+6\,a\,b^2-4\,b^3\right)}{21\,d}-\frac{{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(a\,b^2-a^3\right)}{d}-\frac{2\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(3\,a^2\,b-2\,a^3\right)}{9\,d}}{4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1}-\frac{\frac{a\,b^2-a^3}{3\,d}+\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(3\,a^2\,b-2\,a^3\right)}{9\,d}}{2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1}+a^3\,x+\frac{\frac{2\,\left(8\,a^3+3\,a^2\,b+6\,a\,b^2-4\,b^3\right)}{63\,d}+\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(13\,a^3+3\,a\,b^2+16\,b^3\right)}{21\,d}+\frac{20\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(13\,a^3+3\,a\,b^2+16\,b^3\right)}{63\,d}+\frac{10\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(8\,a^3+3\,a^2\,b+6\,a\,b^2-4\,b^3\right)}{21\,d}-\frac{2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(-10\,a^3+3\,a^2\,b+8\,a\,b^2+16\,b^3\right)}{7\,d}-\frac{2\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(a\,b^2-a^3\right)}{d}-\frac{2\,{\mathrm{e}}^{12\,c+12\,d\,x}\,\left(3\,a^2\,b-2\,a^3\right)}{9\,d}}{7\,{\mathrm{e}}^{2\,c+2\,d\,x}+21\,{\mathrm{e}}^{4\,c+4\,d\,x}+35\,{\mathrm{e}}^{6\,c+6\,d\,x}+35\,{\mathrm{e}}^{8\,c+8\,d\,x}+21\,{\mathrm{e}}^{10\,c+10\,d\,x}+7\,{\mathrm{e}}^{12\,c+12\,d\,x}+{\mathrm{e}}^{14\,c+14\,d\,x}+1}-\frac{\frac{a\,b^2-a^3}{3\,d}-\frac{{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(13\,a^3+3\,a\,b^2+16\,b^3\right)}{3\,d}-\frac{5\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(13\,a^3+3\,a\,b^2+16\,b^3\right)}{9\,d}-\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(8\,a^3+3\,a^2\,b+6\,a\,b^2-4\,b^3\right)}{9\,d}-\frac{2\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(8\,a^3+3\,a^2\,b+6\,a\,b^2-4\,b^3\right)}{3\,d}+\frac{2\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(-10\,a^3+3\,a^2\,b+8\,a\,b^2+16\,b^3\right)}{3\,d}+\frac{7\,{\mathrm{e}}^{12\,c+12\,d\,x}\,\left(a\,b^2-a^3\right)}{3\,d}+\frac{2\,{\mathrm{e}}^{14\,c+14\,d\,x}\,\left(3\,a^2\,b-2\,a^3\right)}{9\,d}}{8\,{\mathrm{e}}^{2\,c+2\,d\,x}+28\,{\mathrm{e}}^{4\,c+4\,d\,x}+56\,{\mathrm{e}}^{6\,c+6\,d\,x}+70\,{\mathrm{e}}^{8\,c+8\,d\,x}+56\,{\mathrm{e}}^{10\,c+10\,d\,x}+28\,{\mathrm{e}}^{12\,c+12\,d\,x}+8\,{\mathrm{e}}^{14\,c+14\,d\,x}+{\mathrm{e}}^{16\,c+16\,d\,x}+1}-\frac{\frac{2\,\left(3\,a^2\,b-2\,a^3\right)}{9\,d}-\frac{8\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(13\,a^3+3\,a\,b^2+16\,b^3\right)}{9\,d}-\frac{8\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(13\,a^3+3\,a\,b^2+16\,b^3\right)}{9\,d}-\frac{8\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(8\,a^3+3\,a^2\,b+6\,a\,b^2-4\,b^3\right)}{9\,d}-\frac{8\,{\mathrm{e}}^{12\,c+12\,d\,x}\,\left(8\,a^3+3\,a^2\,b+6\,a\,b^2-4\,b^3\right)}{9\,d}+\frac{4\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(-10\,a^3+3\,a^2\,b+8\,a\,b^2+16\,b^3\right)}{3\,d}+\frac{8\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a\,b^2-a^3\right)}{3\,d}+\frac{8\,{\mathrm{e}}^{14\,c+14\,d\,x}\,\left(a\,b^2-a^3\right)}{3\,d}+\frac{2\,{\mathrm{e}}^{16\,c+16\,d\,x}\,\left(3\,a^2\,b-2\,a^3\right)}{9\,d}}{9\,{\mathrm{e}}^{2\,c+2\,d\,x}+36\,{\mathrm{e}}^{4\,c+4\,d\,x}+84\,{\mathrm{e}}^{6\,c+6\,d\,x}+126\,{\mathrm{e}}^{8\,c+8\,d\,x}+126\,{\mathrm{e}}^{10\,c+10\,d\,x}+84\,{\mathrm{e}}^{12\,c+12\,d\,x}+36\,{\mathrm{e}}^{14\,c+14\,d\,x}+9\,{\mathrm{e}}^{16\,c+16\,d\,x}+{\mathrm{e}}^{18\,c+18\,d\,x}+1}-\frac{\frac{2\,\left(-10\,a^3+3\,a^2\,b+8\,a\,b^2+16\,b^3\right)}{105\,d}-\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(13\,a^3+3\,a\,b^2+16\,b^3\right)}{63\,d}-\frac{4\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(8\,a^3+3\,a^2\,b+6\,a\,b^2-4\,b^3\right)}{21\,d}+\frac{4\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(a\,b^2-a^3\right)}{3\,d}+\frac{2\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(3\,a^2\,b-2\,a^3\right)}{9\,d}}{5\,{\mathrm{e}}^{2\,c+2\,d\,x}+10\,{\mathrm{e}}^{4\,c+4\,d\,x}+10\,{\mathrm{e}}^{6\,c+6\,d\,x}+5\,{\mathrm{e}}^{8\,c+8\,d\,x}+{\mathrm{e}}^{10\,c+10\,d\,x}+1}-\frac{2\,\left(3\,a^2\,b-2\,a^3\right)}{9\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"((3*a*b^2 + 13*a^3 + 16*b^3)/(63*d) + (10*exp(4*c + 4*d*x)*(3*a*b^2 + 13*a^3 + 16*b^3))/(63*d) + (20*exp(6*c + 6*d*x)*(6*a*b^2 + 3*a^2*b + 8*a^3 - 4*b^3))/(63*d) - (2*exp(2*c + 2*d*x)*(8*a*b^2 + 3*a^2*b - 10*a^3 + 16*b^3))/(21*d) - (5*exp(8*c + 8*d*x)*(a*b^2 - a^3))/(3*d) - (2*exp(10*c + 10*d*x)*(3*a^2*b - 2*a^3))/(9*d))/(6*exp(2*c + 2*d*x) + 15*exp(4*c + 4*d*x) + 20*exp(6*c + 6*d*x) + 15*exp(8*c + 8*d*x) + 6*exp(10*c + 10*d*x) + exp(12*c + 12*d*x) + 1) - ((2*exp(2*c + 2*d*x)*(a*b^2 - a^3))/(3*d) - (2*(6*a*b^2 + 3*a^2*b + 8*a^3 - 4*b^3))/(63*d) + (2*exp(4*c + 4*d*x)*(3*a^2*b - 2*a^3))/(9*d))/(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1) + ((3*a*b^2 + 13*a^3 + 16*b^3)/(63*d) + (2*exp(2*c + 2*d*x)*(6*a*b^2 + 3*a^2*b + 8*a^3 - 4*b^3))/(21*d) - (exp(4*c + 4*d*x)*(a*b^2 - a^3))/d - (2*exp(6*c + 6*d*x)*(3*a^2*b - 2*a^3))/(9*d))/(4*exp(2*c + 2*d*x) + 6*exp(4*c + 4*d*x) + 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1) - ((a*b^2 - a^3)/(3*d) + (2*exp(2*c + 2*d*x)*(3*a^2*b - 2*a^3))/(9*d))/(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1) + a^3*x + ((2*(6*a*b^2 + 3*a^2*b + 8*a^3 - 4*b^3))/(63*d) + (2*exp(2*c + 2*d*x)*(3*a*b^2 + 13*a^3 + 16*b^3))/(21*d) + (20*exp(6*c + 6*d*x)*(3*a*b^2 + 13*a^3 + 16*b^3))/(63*d) + (10*exp(8*c + 8*d*x)*(6*a*b^2 + 3*a^2*b + 8*a^3 - 4*b^3))/(21*d) - (2*exp(4*c + 4*d*x)*(8*a*b^2 + 3*a^2*b - 10*a^3 + 16*b^3))/(7*d) - (2*exp(10*c + 10*d*x)*(a*b^2 - a^3))/d - (2*exp(12*c + 12*d*x)*(3*a^2*b - 2*a^3))/(9*d))/(7*exp(2*c + 2*d*x) + 21*exp(4*c + 4*d*x) + 35*exp(6*c + 6*d*x) + 35*exp(8*c + 8*d*x) + 21*exp(10*c + 10*d*x) + 7*exp(12*c + 12*d*x) + exp(14*c + 14*d*x) + 1) - ((a*b^2 - a^3)/(3*d) - (exp(4*c + 4*d*x)*(3*a*b^2 + 13*a^3 + 16*b^3))/(3*d) - (5*exp(8*c + 8*d*x)*(3*a*b^2 + 13*a^3 + 16*b^3))/(9*d) - (2*exp(2*c + 2*d*x)*(6*a*b^2 + 3*a^2*b + 8*a^3 - 4*b^3))/(9*d) - (2*exp(10*c + 10*d*x)*(6*a*b^2 + 3*a^2*b + 8*a^3 - 4*b^3))/(3*d) + (2*exp(6*c + 6*d*x)*(8*a*b^2 + 3*a^2*b - 10*a^3 + 16*b^3))/(3*d) + (7*exp(12*c + 12*d*x)*(a*b^2 - a^3))/(3*d) + (2*exp(14*c + 14*d*x)*(3*a^2*b - 2*a^3))/(9*d))/(8*exp(2*c + 2*d*x) + 28*exp(4*c + 4*d*x) + 56*exp(6*c + 6*d*x) + 70*exp(8*c + 8*d*x) + 56*exp(10*c + 10*d*x) + 28*exp(12*c + 12*d*x) + 8*exp(14*c + 14*d*x) + exp(16*c + 16*d*x) + 1) - ((2*(3*a^2*b - 2*a^3))/(9*d) - (8*exp(6*c + 6*d*x)*(3*a*b^2 + 13*a^3 + 16*b^3))/(9*d) - (8*exp(10*c + 10*d*x)*(3*a*b^2 + 13*a^3 + 16*b^3))/(9*d) - (8*exp(4*c + 4*d*x)*(6*a*b^2 + 3*a^2*b + 8*a^3 - 4*b^3))/(9*d) - (8*exp(12*c + 12*d*x)*(6*a*b^2 + 3*a^2*b + 8*a^3 - 4*b^3))/(9*d) + (4*exp(8*c + 8*d*x)*(8*a*b^2 + 3*a^2*b - 10*a^3 + 16*b^3))/(3*d) + (8*exp(2*c + 2*d*x)*(a*b^2 - a^3))/(3*d) + (8*exp(14*c + 14*d*x)*(a*b^2 - a^3))/(3*d) + (2*exp(16*c + 16*d*x)*(3*a^2*b - 2*a^3))/(9*d))/(9*exp(2*c + 2*d*x) + 36*exp(4*c + 4*d*x) + 84*exp(6*c + 6*d*x) + 126*exp(8*c + 8*d*x) + 126*exp(10*c + 10*d*x) + 84*exp(12*c + 12*d*x) + 36*exp(14*c + 14*d*x) + 9*exp(16*c + 16*d*x) + exp(18*c + 18*d*x) + 1) - ((2*(8*a*b^2 + 3*a^2*b - 10*a^3 + 16*b^3))/(105*d) - (4*exp(2*c + 2*d*x)*(3*a*b^2 + 13*a^3 + 16*b^3))/(63*d) - (4*exp(4*c + 4*d*x)*(6*a*b^2 + 3*a^2*b + 8*a^3 - 4*b^3))/(21*d) + (4*exp(6*c + 6*d*x)*(a*b^2 - a^3))/(3*d) + (2*exp(8*c + 8*d*x)*(3*a^2*b - 2*a^3))/(9*d))/(5*exp(2*c + 2*d*x) + 10*exp(4*c + 4*d*x) + 10*exp(6*c + 6*d*x) + 5*exp(8*c + 8*d*x) + exp(10*c + 10*d*x) + 1) - (2*(3*a^2*b - 2*a^3))/(9*d*(exp(2*c + 2*d*x) + 1))","B"
125,1,573,103,1.638331,"\text{Not used}","int(tanh(c + d*x)^3*(a + b/cosh(c + d*x)^2)^3,x)","\frac{32\,\left(3\,a\,b^2-5\,b^3\right)}{d\,\left(5\,{\mathrm{e}}^{2\,c+2\,d\,x}+10\,{\mathrm{e}}^{4\,c+4\,d\,x}+10\,{\mathrm{e}}^{6\,c+6\,d\,x}+5\,{\mathrm{e}}^{8\,c+8\,d\,x}+{\mathrm{e}}^{10\,c+10\,d\,x}+1\right)}-a^3\,x-\frac{128\,b^3}{d\,\left(7\,{\mathrm{e}}^{2\,c+2\,d\,x}+21\,{\mathrm{e}}^{4\,c+4\,d\,x}+35\,{\mathrm{e}}^{6\,c+6\,d\,x}+35\,{\mathrm{e}}^{8\,c+8\,d\,x}+21\,{\mathrm{e}}^{10\,c+10\,d\,x}+7\,{\mathrm{e}}^{12\,c+12\,d\,x}+{\mathrm{e}}^{14\,c+14\,d\,x}+1\right)}-\frac{32\,\left(3\,a\,b^2-19\,b^3\right)}{3\,d\,\left(6\,{\mathrm{e}}^{2\,c+2\,d\,x}+15\,{\mathrm{e}}^{4\,c+4\,d\,x}+20\,{\mathrm{e}}^{6\,c+6\,d\,x}+15\,{\mathrm{e}}^{8\,c+8\,d\,x}+6\,{\mathrm{e}}^{10\,c+10\,d\,x}+{\mathrm{e}}^{12\,c+12\,d\,x}+1\right)}+\frac{32\,b^3}{d\,\left(8\,{\mathrm{e}}^{2\,c+2\,d\,x}+28\,{\mathrm{e}}^{4\,c+4\,d\,x}+56\,{\mathrm{e}}^{6\,c+6\,d\,x}+70\,{\mathrm{e}}^{8\,c+8\,d\,x}+56\,{\mathrm{e}}^{10\,c+10\,d\,x}+28\,{\mathrm{e}}^{12\,c+12\,d\,x}+8\,{\mathrm{e}}^{14\,c+14\,d\,x}+{\mathrm{e}}^{16\,c+16\,d\,x}+1\right)}-\frac{8\,\left(9\,a^2\,b-21\,a\,b^2+4\,b^3\right)}{3\,d\,\left(3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1\right)}+\frac{4\,\left(3\,a^2\,b-27\,a\,b^2+16\,b^3\right)}{d\,\left(4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1\right)}-\frac{2\,\left(3\,a^2\,b-a^3\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}+\frac{a^3\,\ln\left({\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+1\right)}{d}-\frac{2\,\left(a^3-9\,a^2\,b+6\,a\,b^2\right)}{d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}","Not used",1,"(32*(3*a*b^2 - 5*b^3))/(d*(5*exp(2*c + 2*d*x) + 10*exp(4*c + 4*d*x) + 10*exp(6*c + 6*d*x) + 5*exp(8*c + 8*d*x) + exp(10*c + 10*d*x) + 1)) - a^3*x - (128*b^3)/(d*(7*exp(2*c + 2*d*x) + 21*exp(4*c + 4*d*x) + 35*exp(6*c + 6*d*x) + 35*exp(8*c + 8*d*x) + 21*exp(10*c + 10*d*x) + 7*exp(12*c + 12*d*x) + exp(14*c + 14*d*x) + 1)) - (32*(3*a*b^2 - 19*b^3))/(3*d*(6*exp(2*c + 2*d*x) + 15*exp(4*c + 4*d*x) + 20*exp(6*c + 6*d*x) + 15*exp(8*c + 8*d*x) + 6*exp(10*c + 10*d*x) + exp(12*c + 12*d*x) + 1)) + (32*b^3)/(d*(8*exp(2*c + 2*d*x) + 28*exp(4*c + 4*d*x) + 56*exp(6*c + 6*d*x) + 70*exp(8*c + 8*d*x) + 56*exp(10*c + 10*d*x) + 28*exp(12*c + 12*d*x) + 8*exp(14*c + 14*d*x) + exp(16*c + 16*d*x) + 1)) - (8*(9*a^2*b - 21*a*b^2 + 4*b^3))/(3*d*(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1)) + (4*(3*a^2*b - 27*a*b^2 + 16*b^3))/(d*(4*exp(2*c + 2*d*x) + 6*exp(4*c + 4*d*x) + 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1)) - (2*(3*a^2*b - a^3))/(d*(exp(2*c + 2*d*x) + 1)) + (a^3*log(exp(2*c)*exp(2*d*x) + 1))/d - (2*(6*a*b^2 - 9*a^2*b + a^3))/(d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1))","B"
126,1,1133,92,0.212539,"\text{Not used}","int(tanh(c + d*x)^2*(a + b/cosh(c + d*x)^2)^3,x)","a^3\,x-\frac{\frac{2\,\left(-a^3+a^2\,b+2\,a\,b^2\right)}{7\,d}-\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(15\,a^3+3\,a^2\,b-16\,b^3\right)}{21\,d}-\frac{4\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(15\,a^3+3\,a^2\,b-16\,b^3\right)}{21\,d}+\frac{10\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(-a^3+a^2\,b+2\,a\,b^2\right)}{7\,d}-\frac{4\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(5\,a^3+3\,a^2\,b+6\,a\,b^2+8\,b^3\right)}{7\,d}+\frac{2\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(3\,a^2\,b-a^3\right)}{7\,d}}{6\,{\mathrm{e}}^{2\,c+2\,d\,x}+15\,{\mathrm{e}}^{4\,c+4\,d\,x}+20\,{\mathrm{e}}^{6\,c+6\,d\,x}+15\,{\mathrm{e}}^{8\,c+8\,d\,x}+6\,{\mathrm{e}}^{10\,c+10\,d\,x}+{\mathrm{e}}^{12\,c+12\,d\,x}+1}-\frac{\frac{2\,\left(3\,a^2\,b-a^3\right)}{7\,d}-\frac{2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(15\,a^3+3\,a^2\,b-16\,b^3\right)}{7\,d}-\frac{2\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(15\,a^3+3\,a^2\,b-16\,b^3\right)}{7\,d}+\frac{12\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(-a^3+a^2\,b+2\,a\,b^2\right)}{7\,d}+\frac{12\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(-a^3+a^2\,b+2\,a\,b^2\right)}{7\,d}-\frac{8\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(5\,a^3+3\,a^2\,b+6\,a\,b^2+8\,b^3\right)}{7\,d}+\frac{2\,{\mathrm{e}}^{12\,c+12\,d\,x}\,\left(3\,a^2\,b-a^3\right)}{7\,d}}{7\,{\mathrm{e}}^{2\,c+2\,d\,x}+21\,{\mathrm{e}}^{4\,c+4\,d\,x}+35\,{\mathrm{e}}^{6\,c+6\,d\,x}+35\,{\mathrm{e}}^{8\,c+8\,d\,x}+21\,{\mathrm{e}}^{10\,c+10\,d\,x}+7\,{\mathrm{e}}^{12\,c+12\,d\,x}+{\mathrm{e}}^{14\,c+14\,d\,x}+1}-\frac{\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(-a^3+a^2\,b+2\,a\,b^2\right)}{7\,d}-\frac{2\,\left(15\,a^3+3\,a^2\,b-16\,b^3\right)}{105\,d}+\frac{2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(3\,a^2\,b-a^3\right)}{7\,d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1}+\frac{\frac{2\,\left(5\,a^3+3\,a^2\,b+6\,a\,b^2+8\,b^3\right)}{35\,d}+\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(15\,a^3+3\,a^2\,b-16\,b^3\right)}{35\,d}-\frac{6\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(-a^3+a^2\,b+2\,a\,b^2\right)}{7\,d}-\frac{2\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(3\,a^2\,b-a^3\right)}{7\,d}}{4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1}+\frac{\frac{2\,\left(15\,a^3+3\,a^2\,b-16\,b^3\right)}{105\,d}+\frac{4\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(15\,a^3+3\,a^2\,b-16\,b^3\right)}{35\,d}-\frac{8\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(-a^3+a^2\,b+2\,a\,b^2\right)}{7\,d}+\frac{8\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(5\,a^3+3\,a^2\,b+6\,a\,b^2+8\,b^3\right)}{35\,d}-\frac{2\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(3\,a^2\,b-a^3\right)}{7\,d}}{5\,{\mathrm{e}}^{2\,c+2\,d\,x}+10\,{\mathrm{e}}^{4\,c+4\,d\,x}+10\,{\mathrm{e}}^{6\,c+6\,d\,x}+5\,{\mathrm{e}}^{8\,c+8\,d\,x}+{\mathrm{e}}^{10\,c+10\,d\,x}+1}-\frac{\frac{2\,\left(-a^3+a^2\,b+2\,a\,b^2\right)}{7\,d}+\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(3\,a^2\,b-a^3\right)}{7\,d}}{2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1}-\frac{2\,\left(3\,a^2\,b-a^3\right)}{7\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"a^3*x - ((2*(2*a*b^2 + a^2*b - a^3))/(7*d) - (2*exp(2*c + 2*d*x)*(3*a^2*b + 15*a^3 - 16*b^3))/(21*d) - (4*exp(6*c + 6*d*x)*(3*a^2*b + 15*a^3 - 16*b^3))/(21*d) + (10*exp(8*c + 8*d*x)*(2*a*b^2 + a^2*b - a^3))/(7*d) - (4*exp(4*c + 4*d*x)*(6*a*b^2 + 3*a^2*b + 5*a^3 + 8*b^3))/(7*d) + (2*exp(10*c + 10*d*x)*(3*a^2*b - a^3))/(7*d))/(6*exp(2*c + 2*d*x) + 15*exp(4*c + 4*d*x) + 20*exp(6*c + 6*d*x) + 15*exp(8*c + 8*d*x) + 6*exp(10*c + 10*d*x) + exp(12*c + 12*d*x) + 1) - ((2*(3*a^2*b - a^3))/(7*d) - (2*exp(4*c + 4*d*x)*(3*a^2*b + 15*a^3 - 16*b^3))/(7*d) - (2*exp(8*c + 8*d*x)*(3*a^2*b + 15*a^3 - 16*b^3))/(7*d) + (12*exp(2*c + 2*d*x)*(2*a*b^2 + a^2*b - a^3))/(7*d) + (12*exp(10*c + 10*d*x)*(2*a*b^2 + a^2*b - a^3))/(7*d) - (8*exp(6*c + 6*d*x)*(6*a*b^2 + 3*a^2*b + 5*a^3 + 8*b^3))/(7*d) + (2*exp(12*c + 12*d*x)*(3*a^2*b - a^3))/(7*d))/(7*exp(2*c + 2*d*x) + 21*exp(4*c + 4*d*x) + 35*exp(6*c + 6*d*x) + 35*exp(8*c + 8*d*x) + 21*exp(10*c + 10*d*x) + 7*exp(12*c + 12*d*x) + exp(14*c + 14*d*x) + 1) - ((4*exp(2*c + 2*d*x)*(2*a*b^2 + a^2*b - a^3))/(7*d) - (2*(3*a^2*b + 15*a^3 - 16*b^3))/(105*d) + (2*exp(4*c + 4*d*x)*(3*a^2*b - a^3))/(7*d))/(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1) + ((2*(6*a*b^2 + 3*a^2*b + 5*a^3 + 8*b^3))/(35*d) + (2*exp(2*c + 2*d*x)*(3*a^2*b + 15*a^3 - 16*b^3))/(35*d) - (6*exp(4*c + 4*d*x)*(2*a*b^2 + a^2*b - a^3))/(7*d) - (2*exp(6*c + 6*d*x)*(3*a^2*b - a^3))/(7*d))/(4*exp(2*c + 2*d*x) + 6*exp(4*c + 4*d*x) + 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1) + ((2*(3*a^2*b + 15*a^3 - 16*b^3))/(105*d) + (4*exp(4*c + 4*d*x)*(3*a^2*b + 15*a^3 - 16*b^3))/(35*d) - (8*exp(6*c + 6*d*x)*(2*a*b^2 + a^2*b - a^3))/(7*d) + (8*exp(2*c + 2*d*x)*(6*a*b^2 + 3*a^2*b + 5*a^3 + 8*b^3))/(35*d) - (2*exp(8*c + 8*d*x)*(3*a^2*b - a^3))/(7*d))/(5*exp(2*c + 2*d*x) + 10*exp(4*c + 4*d*x) + 10*exp(6*c + 6*d*x) + 5*exp(8*c + 8*d*x) + exp(10*c + 10*d*x) + 1) - ((2*(2*a*b^2 + a^2*b - a^3))/(7*d) + (2*exp(2*c + 2*d*x)*(3*a^2*b - a^3))/(7*d))/(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1) - (2*(3*a^2*b - a^3))/(7*d*(exp(2*c + 2*d*x) + 1))","B"
127,1,347,71,0.214501,"\text{Not used}","int(tanh(c + d*x)*(a + b/cosh(c + d*x)^2)^3,x)","\frac{32\,b^3}{3\,d\,\left(6\,{\mathrm{e}}^{2\,c+2\,d\,x}+15\,{\mathrm{e}}^{4\,c+4\,d\,x}+20\,{\mathrm{e}}^{6\,c+6\,d\,x}+15\,{\mathrm{e}}^{8\,c+8\,d\,x}+6\,{\mathrm{e}}^{10\,c+10\,d\,x}+{\mathrm{e}}^{12\,c+12\,d\,x}+1\right)}-\frac{4\,\left(3\,a\,b^2-8\,b^3\right)}{d\,\left(4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1\right)}-a^3\,x-\frac{6\,\left(2\,a\,b^2-a^2\,b\right)}{d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}+\frac{a^3\,\ln\left({\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+1\right)}{d}+\frac{8\,\left(9\,a\,b^2-4\,b^3\right)}{3\,d\,\left(3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1\right)}-\frac{32\,b^3}{d\,\left(5\,{\mathrm{e}}^{2\,c+2\,d\,x}+10\,{\mathrm{e}}^{4\,c+4\,d\,x}+10\,{\mathrm{e}}^{6\,c+6\,d\,x}+5\,{\mathrm{e}}^{8\,c+8\,d\,x}+{\mathrm{e}}^{10\,c+10\,d\,x}+1\right)}-\frac{6\,a^2\,b}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"(32*b^3)/(3*d*(6*exp(2*c + 2*d*x) + 15*exp(4*c + 4*d*x) + 20*exp(6*c + 6*d*x) + 15*exp(8*c + 8*d*x) + 6*exp(10*c + 10*d*x) + exp(12*c + 12*d*x) + 1)) - (4*(3*a*b^2 - 8*b^3))/(d*(4*exp(2*c + 2*d*x) + 6*exp(4*c + 4*d*x) + 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1)) - a^3*x - (6*(2*a*b^2 - a^2*b))/(d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1)) + (a^3*log(exp(2*c)*exp(2*d*x) + 1))/d + (8*(9*a*b^2 - 4*b^3))/(3*d*(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1)) - (32*b^3)/(d*(5*exp(2*c + 2*d*x) + 10*exp(4*c + 4*d*x) + 10*exp(6*c + 6*d*x) + 5*exp(8*c + 8*d*x) + exp(10*c + 10*d*x) + 1)) - (6*a^2*b)/(d*(exp(2*c + 2*d*x) + 1))","B"
128,1,502,73,1.441623,"\text{Not used}","int((a + b/cosh(c + d*x)^2)^3,x)","a^3\,x-\frac{\frac{2\,\left(9\,a^2\,b+12\,a\,b^2+8\,b^3\right)}{15\,d}+\frac{12\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a^2\,b+a\,b^2\right)}{5\,d}+\frac{6\,a^2\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}}{5\,d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1}-\frac{\frac{6\,a^2\,b}{5\,d}+\frac{24\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a^2\,b+a\,b^2\right)}{5\,d}+\frac{24\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(a^2\,b+a\,b^2\right)}{5\,d}+\frac{4\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(9\,a^2\,b+12\,a\,b^2+8\,b^3\right)}{5\,d}+\frac{6\,a^2\,b\,{\mathrm{e}}^{8\,c+8\,d\,x}}{5\,d}}{5\,{\mathrm{e}}^{2\,c+2\,d\,x}+10\,{\mathrm{e}}^{4\,c+4\,d\,x}+10\,{\mathrm{e}}^{6\,c+6\,d\,x}+5\,{\mathrm{e}}^{8\,c+8\,d\,x}+{\mathrm{e}}^{10\,c+10\,d\,x}+1}-\frac{\frac{6\,\left(a^2\,b+a\,b^2\right)}{5\,d}+\frac{18\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(a^2\,b+a\,b^2\right)}{5\,d}+\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(9\,a^2\,b+12\,a\,b^2+8\,b^3\right)}{5\,d}+\frac{6\,a^2\,b\,{\mathrm{e}}^{6\,c+6\,d\,x}}{5\,d}}{4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1}-\frac{\frac{6\,\left(a^2\,b+a\,b^2\right)}{5\,d}+\frac{6\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}}{5\,d}}{2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1}-\frac{6\,a^2\,b}{5\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"a^3*x - ((2*(12*a*b^2 + 9*a^2*b + 8*b^3))/(15*d) + (12*exp(2*c + 2*d*x)*(a*b^2 + a^2*b))/(5*d) + (6*a^2*b*exp(4*c + 4*d*x))/(5*d))/(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1) - ((6*a^2*b)/(5*d) + (24*exp(2*c + 2*d*x)*(a*b^2 + a^2*b))/(5*d) + (24*exp(6*c + 6*d*x)*(a*b^2 + a^2*b))/(5*d) + (4*exp(4*c + 4*d*x)*(12*a*b^2 + 9*a^2*b + 8*b^3))/(5*d) + (6*a^2*b*exp(8*c + 8*d*x))/(5*d))/(5*exp(2*c + 2*d*x) + 10*exp(4*c + 4*d*x) + 10*exp(6*c + 6*d*x) + 5*exp(8*c + 8*d*x) + exp(10*c + 10*d*x) + 1) - ((6*(a*b^2 + a^2*b))/(5*d) + (18*exp(4*c + 4*d*x)*(a*b^2 + a^2*b))/(5*d) + (2*exp(2*c + 2*d*x)*(12*a*b^2 + 9*a^2*b + 8*b^3))/(5*d) + (6*a^2*b*exp(6*c + 6*d*x))/(5*d))/(4*exp(2*c + 2*d*x) + 6*exp(4*c + 4*d*x) + 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1) - ((6*(a*b^2 + a^2*b))/(5*d) + (6*a^2*b*exp(2*c + 2*d*x))/(5*d))/(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1) - (6*a^2*b)/(5*d*(exp(2*c + 2*d*x) + 1))","B"
129,1,360,84,1.637747,"\text{Not used}","int(coth(c + d*x)*(a + b/cosh(c + d*x)^2)^3,x)","\frac{2\,\left(b^3+3\,a\,b^2\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-a^3\,x-\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\,\left(a^3\,\sqrt{-d^2}+2\,b^3\,\sqrt{-d^2}+6\,a\,b^2\,\sqrt{-d^2}+6\,a^2\,b\,\sqrt{-d^2}\right)}{d\,\sqrt{a^6+12\,a^5\,b+48\,a^4\,b^2+76\,a^3\,b^3+60\,a^2\,b^4+24\,a\,b^5+4\,b^6}}\right)\,\sqrt{a^6+12\,a^5\,b+48\,a^4\,b^2+76\,a^3\,b^3+60\,a^2\,b^4+24\,a\,b^5+4\,b^6}}{\sqrt{-d^2}}+\frac{a^3\,\ln\left({\mathrm{e}}^{4\,c+4\,d\,x}-1\right)}{2\,d}-\frac{8\,b^3}{d\,\left(3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1\right)}-\frac{2\,\left(3\,a\,b^2-b^3\right)}{d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}+\frac{4\,b^3}{d\,\left(4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1\right)}","Not used",1,"(2*(3*a*b^2 + b^3))/(d*(exp(2*c + 2*d*x) + 1)) - a^3*x - (atan((exp(2*c)*exp(2*d*x)*(a^3*(-d^2)^(1/2) + 2*b^3*(-d^2)^(1/2) + 6*a*b^2*(-d^2)^(1/2) + 6*a^2*b*(-d^2)^(1/2)))/(d*(24*a*b^5 + 12*a^5*b + a^6 + 4*b^6 + 60*a^2*b^4 + 76*a^3*b^3 + 48*a^4*b^2)^(1/2)))*(24*a*b^5 + 12*a^5*b + a^6 + 4*b^6 + 60*a^2*b^4 + 76*a^3*b^3 + 48*a^4*b^2)^(1/2))/(-d^2)^(1/2) + (a^3*log(exp(4*c + 4*d*x) - 1))/(2*d) - (8*b^3)/(d*(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1)) - (2*(3*a*b^2 - b^3))/(d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1)) + (4*b^3)/(d*(4*exp(2*c + 2*d*x) + 6*exp(4*c + 4*d*x) + 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1))","B"
130,1,234,61,0.142097,"\text{Not used}","int(coth(c + d*x)^2*(a + b/cosh(c + d*x)^2)^3,x)","\frac{\frac{2\,\left(b^3+3\,a\,b^2\right)}{3\,d}+\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(b^3+a\,b^2\right)}{d}+\frac{2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(b^3+3\,a\,b^2\right)}{3\,d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1}+a^3\,x+\frac{\frac{2\,\left(b^3+a\,b^2\right)}{d}+\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(b^3+3\,a\,b^2\right)}{3\,d}}{2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1}+\frac{2\,\left(b^3+3\,a\,b^2\right)}{3\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{2\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}","Not used",1,"((2*(3*a*b^2 + b^3))/(3*d) + (4*exp(2*c + 2*d*x)*(a*b^2 + b^3))/d + (2*exp(4*c + 4*d*x)*(3*a*b^2 + b^3))/(3*d))/(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1) + a^3*x + ((2*(a*b^2 + b^3))/d + (2*exp(2*c + 2*d*x)*(3*a*b^2 + b^3))/(3*d))/(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1) + (2*(3*a*b^2 + b^3))/(3*d*(exp(2*c + 2*d*x) + 1)) - (2*(3*a*b^2 + 3*a^2*b + a^3 + b^3))/(d*(exp(2*c + 2*d*x) - 1))","B"
131,1,324,81,1.722921,"\text{Not used}","int(coth(c + d*x)^3*(a + b/cosh(c + d*x)^2)^3,x)","\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\,\left(4\,b^3\,\sqrt{-d^2}-a^3\,\sqrt{-d^2}+6\,a\,b^2\,\sqrt{-d^2}\right)}{d\,\sqrt{a^6-12\,a^4\,b^2-8\,a^3\,b^3+36\,a^2\,b^4+48\,a\,b^5+16\,b^6}}\right)\,\sqrt{a^6-12\,a^4\,b^2-8\,a^3\,b^3+36\,a^2\,b^4+48\,a\,b^5+16\,b^6}}{\sqrt{-d^2}}-\frac{\frac{4\,\left(a^3+3\,a^2\,b+3\,a\,b^2\right)}{d}+\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a^3+3\,a^2\,b+3\,a\,b^2+2\,b^3\right)}{d}}{{\mathrm{e}}^{4\,c+4\,d\,x}-1}-\frac{\frac{4\,\left(a^3+3\,a^2\,b+3\,a\,b^2\right)}{d}+\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a^3+3\,a^2\,b+3\,a\,b^2+2\,b^3\right)}{d}}{{\mathrm{e}}^{8\,c+8\,d\,x}-2\,{\mathrm{e}}^{4\,c+4\,d\,x}+1}-a^3\,x+\frac{a^3\,\ln\left({\mathrm{e}}^{4\,c+4\,d\,x}-1\right)}{2\,d}","Not used",1,"(atan((exp(2*c)*exp(2*d*x)*(4*b^3*(-d^2)^(1/2) - a^3*(-d^2)^(1/2) + 6*a*b^2*(-d^2)^(1/2)))/(d*(48*a*b^5 + a^6 + 16*b^6 + 36*a^2*b^4 - 8*a^3*b^3 - 12*a^4*b^2)^(1/2)))*(48*a*b^5 + a^6 + 16*b^6 + 36*a^2*b^4 - 8*a^3*b^3 - 12*a^4*b^2)^(1/2))/(-d^2)^(1/2) - ((4*(3*a*b^2 + 3*a^2*b + a^3))/d + (2*exp(2*c + 2*d*x)*(3*a*b^2 + 3*a^2*b + a^3 + 2*b^3))/d)/(exp(4*c + 4*d*x) - 1) - ((4*(3*a*b^2 + 3*a^2*b + a^3))/d + (4*exp(2*c + 2*d*x)*(3*a*b^2 + 3*a^2*b + a^3 + 2*b^3))/d)/(exp(8*c + 8*d*x) - 2*exp(4*c + 4*d*x) + 1) - a^3*x + (a^3*log(exp(4*c + 4*d*x) - 1))/(2*d)","B"
132,1,260,60,1.479023,"\text{Not used}","int(coth(c + d*x)^4*(a + b/cosh(c + d*x)^2)^3,x)","a^3\,x-\frac{\frac{2\,\left(a^2\,b+2\,a\,b^2+b^3\right)}{d}+\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(2\,a^3+3\,a^2\,b-b^3\right)}{3\,d}}{{\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1}-\frac{\frac{2\,\left(2\,a^3+3\,a^2\,b-b^3\right)}{3\,d}+\frac{2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(2\,a^3+3\,a^2\,b-b^3\right)}{3\,d}+\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a^2\,b+2\,a\,b^2+b^3\right)}{d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}-3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}-1}-\frac{2\,b^3}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{2\,\left(2\,a^3+3\,a^2\,b-b^3\right)}{3\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}","Not used",1,"a^3*x - ((2*(2*a*b^2 + a^2*b + b^3))/d + (2*exp(2*c + 2*d*x)*(3*a^2*b + 2*a^3 - b^3))/(3*d))/(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1) - ((2*(3*a^2*b + 2*a^3 - b^3))/(3*d) + (2*exp(4*c + 4*d*x)*(3*a^2*b + 2*a^3 - b^3))/(3*d) + (4*exp(2*c + 2*d*x)*(2*a*b^2 + a^2*b + b^3))/d)/(3*exp(2*c + 2*d*x) - 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) - 1) - (2*b^3)/(d*(exp(2*c + 2*d*x) + 1)) - (2*(3*a^2*b + 2*a^3 - b^3))/(3*d*(exp(2*c + 2*d*x) - 1))","B"
133,1,384,81,1.635971,"\text{Not used}","int(coth(c + d*x)^5*(a + b/cosh(c + d*x)^2)^3,x)","-a^3\,x-\frac{2\,\left(4\,a^3+9\,a^2\,b+6\,a\,b^2+b^3\right)}{d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{\ln\left({\mathrm{e}}^{4\,c+4\,d\,x}-1\right)\,\left(b^3\,d-d\,\left(a^3+b^3\right)\right)}{2\,d^2}-\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\,\left(a^6\,\sqrt{-d^2}+4\,b^6\,\sqrt{-d^2}+4\,a^3\,b^3\,\sqrt{-d^2}\right)}{a^3\,d\,\sqrt{a^6+4\,a^3\,b^3+4\,b^6}+2\,b^3\,d\,\sqrt{a^6+4\,a^3\,b^3+4\,b^6}}\right)\,\sqrt{a^6+4\,a^3\,b^3+4\,b^6}}{\sqrt{-d^2}}-\frac{2\,\left(2\,a^3+3\,a^2\,b-b^3\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{8\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)}{d\,\left(3\,{\mathrm{e}}^{2\,c+2\,d\,x}-3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}-1\right)}-\frac{4\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)}{d\,\left(6\,{\mathrm{e}}^{4\,c+4\,d\,x}-4\,{\mathrm{e}}^{2\,c+2\,d\,x}-4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1\right)}","Not used",1,"- a^3*x - (2*(6*a*b^2 + 9*a^2*b + 4*a^3 + b^3))/(d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) - (log(exp(4*c + 4*d*x) - 1)*(b^3*d - d*(a^3 + b^3)))/(2*d^2) - (atan((exp(2*c)*exp(2*d*x)*(a^6*(-d^2)^(1/2) + 4*b^6*(-d^2)^(1/2) + 4*a^3*b^3*(-d^2)^(1/2)))/(a^3*d*(a^6 + 4*b^6 + 4*a^3*b^3)^(1/2) + 2*b^3*d*(a^6 + 4*b^6 + 4*a^3*b^3)^(1/2)))*(a^6 + 4*b^6 + 4*a^3*b^3)^(1/2))/(-d^2)^(1/2) - (2*(3*a^2*b + 2*a^3 - b^3))/(d*(exp(2*c + 2*d*x) - 1)) - (8*(3*a*b^2 + 3*a^2*b + a^3 + b^3))/(d*(3*exp(2*c + 2*d*x) - 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) - 1)) - (4*(3*a*b^2 + 3*a^2*b + a^3 + b^3))/(d*(6*exp(4*c + 4*d*x) - 4*exp(2*c + 2*d*x) - 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1))","B"
134,1,547,69,1.603408,"\text{Not used}","int(coth(c + d*x)^6*(a + b/cosh(c + d*x)^2)^3,x)","a^3\,x-\frac{\frac{6\,\left(a^3+b\,a^2\right)}{5\,d}+\frac{24\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a^2\,b+a\,b^2\right)}{5\,d}+\frac{24\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(a^2\,b+a\,b^2\right)}{5\,d}+\frac{6\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(a^3+b\,a^2\right)}{5\,d}+\frac{4\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(5\,a^3+9\,a^2\,b+12\,a\,b^2+8\,b^3\right)}{5\,d}}{5\,{\mathrm{e}}^{2\,c+2\,d\,x}-10\,{\mathrm{e}}^{4\,c+4\,d\,x}+10\,{\mathrm{e}}^{6\,c+6\,d\,x}-5\,{\mathrm{e}}^{8\,c+8\,d\,x}+{\mathrm{e}}^{10\,c+10\,d\,x}-1}-\frac{\frac{6\,\left(a^2\,b+a\,b^2\right)}{5\,d}+\frac{6\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a^3+b\,a^2\right)}{5\,d}}{{\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1}-\frac{\frac{6\,\left(a^2\,b+a\,b^2\right)}{5\,d}+\frac{18\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(a^2\,b+a\,b^2\right)}{5\,d}+\frac{6\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(a^3+b\,a^2\right)}{5\,d}+\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(5\,a^3+9\,a^2\,b+12\,a\,b^2+8\,b^3\right)}{5\,d}}{6\,{\mathrm{e}}^{4\,c+4\,d\,x}-4\,{\mathrm{e}}^{2\,c+2\,d\,x}-4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1}-\frac{\frac{2\,\left(5\,a^3+9\,a^2\,b+12\,a\,b^2+8\,b^3\right)}{15\,d}+\frac{12\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a^2\,b+a\,b^2\right)}{5\,d}+\frac{6\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(a^3+b\,a^2\right)}{5\,d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}-3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}-1}-\frac{6\,\left(a^3+b\,a^2\right)}{5\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}","Not used",1,"a^3*x - ((6*(a^2*b + a^3))/(5*d) + (24*exp(2*c + 2*d*x)*(a*b^2 + a^2*b))/(5*d) + (24*exp(6*c + 6*d*x)*(a*b^2 + a^2*b))/(5*d) + (6*exp(8*c + 8*d*x)*(a^2*b + a^3))/(5*d) + (4*exp(4*c + 4*d*x)*(12*a*b^2 + 9*a^2*b + 5*a^3 + 8*b^3))/(5*d))/(5*exp(2*c + 2*d*x) - 10*exp(4*c + 4*d*x) + 10*exp(6*c + 6*d*x) - 5*exp(8*c + 8*d*x) + exp(10*c + 10*d*x) - 1) - ((6*(a*b^2 + a^2*b))/(5*d) + (6*exp(2*c + 2*d*x)*(a^2*b + a^3))/(5*d))/(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1) - ((6*(a*b^2 + a^2*b))/(5*d) + (18*exp(4*c + 4*d*x)*(a*b^2 + a^2*b))/(5*d) + (6*exp(6*c + 6*d*x)*(a^2*b + a^3))/(5*d) + (2*exp(2*c + 2*d*x)*(12*a*b^2 + 9*a^2*b + 5*a^3 + 8*b^3))/(5*d))/(6*exp(4*c + 4*d*x) - 4*exp(2*c + 2*d*x) - 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1) - ((2*(12*a*b^2 + 9*a^2*b + 5*a^3 + 8*b^3))/(15*d) + (12*exp(2*c + 2*d*x)*(a*b^2 + a^2*b))/(5*d) + (6*exp(4*c + 4*d*x)*(a^2*b + a^3))/(5*d))/(3*exp(2*c + 2*d*x) - 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) - 1) - (6*(a^2*b + a^3))/(5*d*(exp(2*c + 2*d*x) - 1))","B"
135,1,411,77,1.613608,"\text{Not used}","int(coth(c + d*x)^7*(a + b/cosh(c + d*x)^2)^3,x)","\frac{a^3\,\ln\left({\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}-1\right)}{d}-\frac{32\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)}{d\,\left(5\,{\mathrm{e}}^{2\,c+2\,d\,x}-10\,{\mathrm{e}}^{4\,c+4\,d\,x}+10\,{\mathrm{e}}^{6\,c+6\,d\,x}-5\,{\mathrm{e}}^{8\,c+8\,d\,x}+{\mathrm{e}}^{10\,c+10\,d\,x}-1\right)}-\frac{32\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)}{3\,d\,\left(15\,{\mathrm{e}}^{4\,c+4\,d\,x}-6\,{\mathrm{e}}^{2\,c+2\,d\,x}-20\,{\mathrm{e}}^{6\,c+6\,d\,x}+15\,{\mathrm{e}}^{8\,c+8\,d\,x}-6\,{\mathrm{e}}^{10\,c+10\,d\,x}+{\mathrm{e}}^{12\,c+12\,d\,x}+1\right)}-\frac{6\,\left(a^3+b\,a^2\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{6\,\left(3\,a^3+5\,a^2\,b+2\,a\,b^2\right)}{d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{8\,\left(13\,a^3+30\,a^2\,b+21\,a\,b^2+4\,b^3\right)}{3\,d\,\left(3\,{\mathrm{e}}^{2\,c+2\,d\,x}-3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}-1\right)}-\frac{4\,\left(11\,a^3+30\,a^2\,b+27\,a\,b^2+8\,b^3\right)}{d\,\left(6\,{\mathrm{e}}^{4\,c+4\,d\,x}-4\,{\mathrm{e}}^{2\,c+2\,d\,x}-4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1\right)}-a^3\,x","Not used",1,"(a^3*log(exp(2*c)*exp(2*d*x) - 1))/d - (32*(3*a*b^2 + 3*a^2*b + a^3 + b^3))/(d*(5*exp(2*c + 2*d*x) - 10*exp(4*c + 4*d*x) + 10*exp(6*c + 6*d*x) - 5*exp(8*c + 8*d*x) + exp(10*c + 10*d*x) - 1)) - (32*(3*a*b^2 + 3*a^2*b + a^3 + b^3))/(3*d*(15*exp(4*c + 4*d*x) - 6*exp(2*c + 2*d*x) - 20*exp(6*c + 6*d*x) + 15*exp(8*c + 8*d*x) - 6*exp(10*c + 10*d*x) + exp(12*c + 12*d*x) + 1)) - (6*(a^2*b + a^3))/(d*(exp(2*c + 2*d*x) - 1)) - (6*(2*a*b^2 + 5*a^2*b + 3*a^3))/(d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) - (8*(21*a*b^2 + 30*a^2*b + 13*a^3 + 4*b^3))/(3*d*(3*exp(2*c + 2*d*x) - 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) - 1)) - (4*(27*a*b^2 + 30*a^2*b + 11*a^3 + 8*b^3))/(d*(6*exp(4*c + 4*d*x) - 4*exp(2*c + 2*d*x) - 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1)) - a^3*x","B"
136,1,1083,111,0.195799,"\text{Not used}","int((a + b/cosh(c + d*x)^2)^4,x)","a^4\,x-\frac{\frac{8\,\left(a^3\,b+a^2\,b^2\right)}{7\,d}+\frac{8\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(15\,a^3\,b+24\,a^2\,b^2+16\,a\,b^3\right)}{21\,d}+\frac{16\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(15\,a^3\,b+24\,a^2\,b^2+16\,a\,b^3\right)}{21\,d}+\frac{16\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(5\,a^3\,b+9\,a^2\,b^2+8\,a\,b^3+4\,b^4\right)}{7\,d}+\frac{40\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(a^3\,b+a^2\,b^2\right)}{7\,d}+\frac{8\,a^3\,b\,{\mathrm{e}}^{10\,c+10\,d\,x}}{7\,d}}{6\,{\mathrm{e}}^{2\,c+2\,d\,x}+15\,{\mathrm{e}}^{4\,c+4\,d\,x}+20\,{\mathrm{e}}^{6\,c+6\,d\,x}+15\,{\mathrm{e}}^{8\,c+8\,d\,x}+6\,{\mathrm{e}}^{10\,c+10\,d\,x}+{\mathrm{e}}^{12\,c+12\,d\,x}+1}-\frac{\frac{8\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(15\,a^3\,b+24\,a^2\,b^2+16\,a\,b^3\right)}{7\,d}+\frac{8\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(15\,a^3\,b+24\,a^2\,b^2+16\,a\,b^3\right)}{7\,d}+\frac{8\,a^3\,b}{7\,d}+\frac{32\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(5\,a^3\,b+9\,a^2\,b^2+8\,a\,b^3+4\,b^4\right)}{7\,d}+\frac{48\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a^3\,b+a^2\,b^2\right)}{7\,d}+\frac{48\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(a^3\,b+a^2\,b^2\right)}{7\,d}+\frac{8\,a^3\,b\,{\mathrm{e}}^{12\,c+12\,d\,x}}{7\,d}}{7\,{\mathrm{e}}^{2\,c+2\,d\,x}+21\,{\mathrm{e}}^{4\,c+4\,d\,x}+35\,{\mathrm{e}}^{6\,c+6\,d\,x}+35\,{\mathrm{e}}^{8\,c+8\,d\,x}+21\,{\mathrm{e}}^{10\,c+10\,d\,x}+7\,{\mathrm{e}}^{12\,c+12\,d\,x}+{\mathrm{e}}^{14\,c+14\,d\,x}+1}-\frac{\frac{8\,\left(a^3\,b+a^2\,b^2\right)}{7\,d}+\frac{8\,a^3\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}}{7\,d}}{2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1}-\frac{\frac{8\,\left(15\,a^3\,b+24\,a^2\,b^2+16\,a\,b^3\right)}{105\,d}+\frac{16\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(15\,a^3\,b+24\,a^2\,b^2+16\,a\,b^3\right)}{35\,d}+\frac{32\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(5\,a^3\,b+9\,a^2\,b^2+8\,a\,b^3+4\,b^4\right)}{35\,d}+\frac{32\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(a^3\,b+a^2\,b^2\right)}{7\,d}+\frac{8\,a^3\,b\,{\mathrm{e}}^{8\,c+8\,d\,x}}{7\,d}}{5\,{\mathrm{e}}^{2\,c+2\,d\,x}+10\,{\mathrm{e}}^{4\,c+4\,d\,x}+10\,{\mathrm{e}}^{6\,c+6\,d\,x}+5\,{\mathrm{e}}^{8\,c+8\,d\,x}+{\mathrm{e}}^{10\,c+10\,d\,x}+1}-\frac{\frac{8\,\left(5\,a^3\,b+9\,a^2\,b^2+8\,a\,b^3+4\,b^4\right)}{35\,d}+\frac{8\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(15\,a^3\,b+24\,a^2\,b^2+16\,a\,b^3\right)}{35\,d}+\frac{24\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(a^3\,b+a^2\,b^2\right)}{7\,d}+\frac{8\,a^3\,b\,{\mathrm{e}}^{6\,c+6\,d\,x}}{7\,d}}{4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1}-\frac{\frac{8\,\left(15\,a^3\,b+24\,a^2\,b^2+16\,a\,b^3\right)}{105\,d}+\frac{16\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a^3\,b+a^2\,b^2\right)}{7\,d}+\frac{8\,a^3\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}}{7\,d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1}-\frac{8\,a^3\,b}{7\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"a^4*x - ((8*(a^3*b + a^2*b^2))/(7*d) + (8*exp(2*c + 2*d*x)*(16*a*b^3 + 15*a^3*b + 24*a^2*b^2))/(21*d) + (16*exp(6*c + 6*d*x)*(16*a*b^3 + 15*a^3*b + 24*a^2*b^2))/(21*d) + (16*exp(4*c + 4*d*x)*(8*a*b^3 + 5*a^3*b + 4*b^4 + 9*a^2*b^2))/(7*d) + (40*exp(8*c + 8*d*x)*(a^3*b + a^2*b^2))/(7*d) + (8*a^3*b*exp(10*c + 10*d*x))/(7*d))/(6*exp(2*c + 2*d*x) + 15*exp(4*c + 4*d*x) + 20*exp(6*c + 6*d*x) + 15*exp(8*c + 8*d*x) + 6*exp(10*c + 10*d*x) + exp(12*c + 12*d*x) + 1) - ((8*exp(4*c + 4*d*x)*(16*a*b^3 + 15*a^3*b + 24*a^2*b^2))/(7*d) + (8*exp(8*c + 8*d*x)*(16*a*b^3 + 15*a^3*b + 24*a^2*b^2))/(7*d) + (8*a^3*b)/(7*d) + (32*exp(6*c + 6*d*x)*(8*a*b^3 + 5*a^3*b + 4*b^4 + 9*a^2*b^2))/(7*d) + (48*exp(2*c + 2*d*x)*(a^3*b + a^2*b^2))/(7*d) + (48*exp(10*c + 10*d*x)*(a^3*b + a^2*b^2))/(7*d) + (8*a^3*b*exp(12*c + 12*d*x))/(7*d))/(7*exp(2*c + 2*d*x) + 21*exp(4*c + 4*d*x) + 35*exp(6*c + 6*d*x) + 35*exp(8*c + 8*d*x) + 21*exp(10*c + 10*d*x) + 7*exp(12*c + 12*d*x) + exp(14*c + 14*d*x) + 1) - ((8*(a^3*b + a^2*b^2))/(7*d) + (8*a^3*b*exp(2*c + 2*d*x))/(7*d))/(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1) - ((8*(16*a*b^3 + 15*a^3*b + 24*a^2*b^2))/(105*d) + (16*exp(4*c + 4*d*x)*(16*a*b^3 + 15*a^3*b + 24*a^2*b^2))/(35*d) + (32*exp(2*c + 2*d*x)*(8*a*b^3 + 5*a^3*b + 4*b^4 + 9*a^2*b^2))/(35*d) + (32*exp(6*c + 6*d*x)*(a^3*b + a^2*b^2))/(7*d) + (8*a^3*b*exp(8*c + 8*d*x))/(7*d))/(5*exp(2*c + 2*d*x) + 10*exp(4*c + 4*d*x) + 10*exp(6*c + 6*d*x) + 5*exp(8*c + 8*d*x) + exp(10*c + 10*d*x) + 1) - ((8*(8*a*b^3 + 5*a^3*b + 4*b^4 + 9*a^2*b^2))/(35*d) + (8*exp(2*c + 2*d*x)*(16*a*b^3 + 15*a^3*b + 24*a^2*b^2))/(35*d) + (24*exp(4*c + 4*d*x)*(a^3*b + a^2*b^2))/(7*d) + (8*a^3*b*exp(6*c + 6*d*x))/(7*d))/(4*exp(2*c + 2*d*x) + 6*exp(4*c + 4*d*x) + 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1) - ((8*(16*a*b^3 + 15*a^3*b + 24*a^2*b^2))/(105*d) + (16*exp(2*c + 2*d*x)*(a^3*b + a^2*b^2))/(7*d) + (8*a^3*b*exp(4*c + 4*d*x))/(7*d))/(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1) - (8*a^3*b)/(7*d*(exp(2*c + 2*d*x) + 1))","B"
137,1,1952,163,0.316952,"\text{Not used}","int((a + b/cosh(c + d*x)^2)^5,x)","a^5\,x-\frac{\frac{10\,\left(7\,a^4\,b+15\,a^3\,b^2+16\,a^2\,b^3+8\,a\,b^4\right)}{63\,d}+\frac{10\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(7\,a^4\,b+12\,a^3\,b^2+8\,a^2\,b^3\right)}{21\,d}+\frac{10\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(a^4\,b+a^3\,b^2\right)}{3\,d}+\frac{10\,a^4\,b\,{\mathrm{e}}^{6\,c+6\,d\,x}}{9\,d}}{4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1}-\frac{\frac{80\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(7\,a^4\,b+15\,a^3\,b^2+16\,a^2\,b^3+8\,a\,b^4\right)}{9\,d}+\frac{80\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(7\,a^4\,b+15\,a^3\,b^2+16\,a^2\,b^3+8\,a\,b^4\right)}{9\,d}+\frac{4\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(175\,a^4\,b+400\,a^3\,b^2+480\,a^2\,b^3+320\,a\,b^4+128\,b^5\right)}{9\,d}+\frac{10\,a^4\,b}{9\,d}+\frac{40\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(7\,a^4\,b+12\,a^3\,b^2+8\,a^2\,b^3\right)}{9\,d}+\frac{40\,{\mathrm{e}}^{12\,c+12\,d\,x}\,\left(7\,a^4\,b+12\,a^3\,b^2+8\,a^2\,b^3\right)}{9\,d}+\frac{80\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a^4\,b+a^3\,b^2\right)}{9\,d}+\frac{80\,{\mathrm{e}}^{14\,c+14\,d\,x}\,\left(a^4\,b+a^3\,b^2\right)}{9\,d}+\frac{10\,a^4\,b\,{\mathrm{e}}^{16\,c+16\,d\,x}}{9\,d}}{9\,{\mathrm{e}}^{2\,c+2\,d\,x}+36\,{\mathrm{e}}^{4\,c+4\,d\,x}+84\,{\mathrm{e}}^{6\,c+6\,d\,x}+126\,{\mathrm{e}}^{8\,c+8\,d\,x}+126\,{\mathrm{e}}^{10\,c+10\,d\,x}+84\,{\mathrm{e}}^{12\,c+12\,d\,x}+36\,{\mathrm{e}}^{14\,c+14\,d\,x}+9\,{\mathrm{e}}^{16\,c+16\,d\,x}+{\mathrm{e}}^{18\,c+18\,d\,x}+1}-\frac{\frac{10\,\left(a^4\,b+a^3\,b^2\right)}{9\,d}+\frac{10\,a^4\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}}{9\,d}}{2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1}-\frac{\frac{10\,\left(7\,a^4\,b+12\,a^3\,b^2+8\,a^2\,b^3\right)}{63\,d}+\frac{20\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(7\,a^4\,b+15\,a^3\,b^2+16\,a^2\,b^3+8\,a\,b^4\right)}{21\,d}+\frac{200\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(7\,a^4\,b+15\,a^3\,b^2+16\,a^2\,b^3+8\,a\,b^4\right)}{63\,d}+\frac{2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(175\,a^4\,b+400\,a^3\,b^2+480\,a^2\,b^3+320\,a\,b^4+128\,b^5\right)}{21\,d}+\frac{50\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(7\,a^4\,b+12\,a^3\,b^2+8\,a^2\,b^3\right)}{21\,d}+\frac{20\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(a^4\,b+a^3\,b^2\right)}{3\,d}+\frac{10\,a^4\,b\,{\mathrm{e}}^{12\,c+12\,d\,x}}{9\,d}}{7\,{\mathrm{e}}^{2\,c+2\,d\,x}+21\,{\mathrm{e}}^{4\,c+4\,d\,x}+35\,{\mathrm{e}}^{6\,c+6\,d\,x}+35\,{\mathrm{e}}^{8\,c+8\,d\,x}+21\,{\mathrm{e}}^{10\,c+10\,d\,x}+7\,{\mathrm{e}}^{12\,c+12\,d\,x}+{\mathrm{e}}^{14\,c+14\,d\,x}+1}-\frac{\frac{2\,\left(175\,a^4\,b+400\,a^3\,b^2+480\,a^2\,b^3+320\,a\,b^4+128\,b^5\right)}{315\,d}+\frac{40\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(7\,a^4\,b+15\,a^3\,b^2+16\,a^2\,b^3+8\,a\,b^4\right)}{63\,d}+\frac{20\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(7\,a^4\,b+12\,a^3\,b^2+8\,a^2\,b^3\right)}{21\,d}+\frac{40\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(a^4\,b+a^3\,b^2\right)}{9\,d}+\frac{10\,a^4\,b\,{\mathrm{e}}^{8\,c+8\,d\,x}}{9\,d}}{5\,{\mathrm{e}}^{2\,c+2\,d\,x}+10\,{\mathrm{e}}^{4\,c+4\,d\,x}+10\,{\mathrm{e}}^{6\,c+6\,d\,x}+5\,{\mathrm{e}}^{8\,c+8\,d\,x}+{\mathrm{e}}^{10\,c+10\,d\,x}+1}-\frac{\frac{10\,\left(a^4\,b+a^3\,b^2\right)}{9\,d}+\frac{10\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(7\,a^4\,b+15\,a^3\,b^2+16\,a^2\,b^3+8\,a\,b^4\right)}{3\,d}+\frac{50\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(7\,a^4\,b+15\,a^3\,b^2+16\,a^2\,b^3+8\,a\,b^4\right)}{9\,d}+\frac{2\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(175\,a^4\,b+400\,a^3\,b^2+480\,a^2\,b^3+320\,a\,b^4+128\,b^5\right)}{9\,d}+\frac{10\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(7\,a^4\,b+12\,a^3\,b^2+8\,a^2\,b^3\right)}{9\,d}+\frac{10\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(7\,a^4\,b+12\,a^3\,b^2+8\,a^2\,b^3\right)}{3\,d}+\frac{70\,{\mathrm{e}}^{12\,c+12\,d\,x}\,\left(a^4\,b+a^3\,b^2\right)}{9\,d}+\frac{10\,a^4\,b\,{\mathrm{e}}^{14\,c+14\,d\,x}}{9\,d}}{8\,{\mathrm{e}}^{2\,c+2\,d\,x}+28\,{\mathrm{e}}^{4\,c+4\,d\,x}+56\,{\mathrm{e}}^{6\,c+6\,d\,x}+70\,{\mathrm{e}}^{8\,c+8\,d\,x}+56\,{\mathrm{e}}^{10\,c+10\,d\,x}+28\,{\mathrm{e}}^{12\,c+12\,d\,x}+8\,{\mathrm{e}}^{14\,c+14\,d\,x}+{\mathrm{e}}^{16\,c+16\,d\,x}+1}-\frac{\frac{10\,\left(7\,a^4\,b+15\,a^3\,b^2+16\,a^2\,b^3+8\,a\,b^4\right)}{63\,d}+\frac{100\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(7\,a^4\,b+15\,a^3\,b^2+16\,a^2\,b^3+8\,a\,b^4\right)}{63\,d}+\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(175\,a^4\,b+400\,a^3\,b^2+480\,a^2\,b^3+320\,a\,b^4+128\,b^5\right)}{63\,d}+\frac{100\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(7\,a^4\,b+12\,a^3\,b^2+8\,a^2\,b^3\right)}{63\,d}+\frac{50\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(a^4\,b+a^3\,b^2\right)}{9\,d}+\frac{10\,a^4\,b\,{\mathrm{e}}^{10\,c+10\,d\,x}}{9\,d}}{6\,{\mathrm{e}}^{2\,c+2\,d\,x}+15\,{\mathrm{e}}^{4\,c+4\,d\,x}+20\,{\mathrm{e}}^{6\,c+6\,d\,x}+15\,{\mathrm{e}}^{8\,c+8\,d\,x}+6\,{\mathrm{e}}^{10\,c+10\,d\,x}+{\mathrm{e}}^{12\,c+12\,d\,x}+1}-\frac{\frac{10\,\left(7\,a^4\,b+12\,a^3\,b^2+8\,a^2\,b^3\right)}{63\,d}+\frac{20\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a^4\,b+a^3\,b^2\right)}{9\,d}+\frac{10\,a^4\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}}{9\,d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1}-\frac{10\,a^4\,b}{9\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"a^5*x - ((10*(8*a*b^4 + 7*a^4*b + 16*a^2*b^3 + 15*a^3*b^2))/(63*d) + (10*exp(2*c + 2*d*x)*(7*a^4*b + 8*a^2*b^3 + 12*a^3*b^2))/(21*d) + (10*exp(4*c + 4*d*x)*(a^4*b + a^3*b^2))/(3*d) + (10*a^4*b*exp(6*c + 6*d*x))/(9*d))/(4*exp(2*c + 2*d*x) + 6*exp(4*c + 4*d*x) + 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1) - ((80*exp(6*c + 6*d*x)*(8*a*b^4 + 7*a^4*b + 16*a^2*b^3 + 15*a^3*b^2))/(9*d) + (80*exp(10*c + 10*d*x)*(8*a*b^4 + 7*a^4*b + 16*a^2*b^3 + 15*a^3*b^2))/(9*d) + (4*exp(8*c + 8*d*x)*(320*a*b^4 + 175*a^4*b + 128*b^5 + 480*a^2*b^3 + 400*a^3*b^2))/(9*d) + (10*a^4*b)/(9*d) + (40*exp(4*c + 4*d*x)*(7*a^4*b + 8*a^2*b^3 + 12*a^3*b^2))/(9*d) + (40*exp(12*c + 12*d*x)*(7*a^4*b + 8*a^2*b^3 + 12*a^3*b^2))/(9*d) + (80*exp(2*c + 2*d*x)*(a^4*b + a^3*b^2))/(9*d) + (80*exp(14*c + 14*d*x)*(a^4*b + a^3*b^2))/(9*d) + (10*a^4*b*exp(16*c + 16*d*x))/(9*d))/(9*exp(2*c + 2*d*x) + 36*exp(4*c + 4*d*x) + 84*exp(6*c + 6*d*x) + 126*exp(8*c + 8*d*x) + 126*exp(10*c + 10*d*x) + 84*exp(12*c + 12*d*x) + 36*exp(14*c + 14*d*x) + 9*exp(16*c + 16*d*x) + exp(18*c + 18*d*x) + 1) - ((10*(a^4*b + a^3*b^2))/(9*d) + (10*a^4*b*exp(2*c + 2*d*x))/(9*d))/(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1) - ((10*(7*a^4*b + 8*a^2*b^3 + 12*a^3*b^2))/(63*d) + (20*exp(2*c + 2*d*x)*(8*a*b^4 + 7*a^4*b + 16*a^2*b^3 + 15*a^3*b^2))/(21*d) + (200*exp(6*c + 6*d*x)*(8*a*b^4 + 7*a^4*b + 16*a^2*b^3 + 15*a^3*b^2))/(63*d) + (2*exp(4*c + 4*d*x)*(320*a*b^4 + 175*a^4*b + 128*b^5 + 480*a^2*b^3 + 400*a^3*b^2))/(21*d) + (50*exp(8*c + 8*d*x)*(7*a^4*b + 8*a^2*b^3 + 12*a^3*b^2))/(21*d) + (20*exp(10*c + 10*d*x)*(a^4*b + a^3*b^2))/(3*d) + (10*a^4*b*exp(12*c + 12*d*x))/(9*d))/(7*exp(2*c + 2*d*x) + 21*exp(4*c + 4*d*x) + 35*exp(6*c + 6*d*x) + 35*exp(8*c + 8*d*x) + 21*exp(10*c + 10*d*x) + 7*exp(12*c + 12*d*x) + exp(14*c + 14*d*x) + 1) - ((2*(320*a*b^4 + 175*a^4*b + 128*b^5 + 480*a^2*b^3 + 400*a^3*b^2))/(315*d) + (40*exp(2*c + 2*d*x)*(8*a*b^4 + 7*a^4*b + 16*a^2*b^3 + 15*a^3*b^2))/(63*d) + (20*exp(4*c + 4*d*x)*(7*a^4*b + 8*a^2*b^3 + 12*a^3*b^2))/(21*d) + (40*exp(6*c + 6*d*x)*(a^4*b + a^3*b^2))/(9*d) + (10*a^4*b*exp(8*c + 8*d*x))/(9*d))/(5*exp(2*c + 2*d*x) + 10*exp(4*c + 4*d*x) + 10*exp(6*c + 6*d*x) + 5*exp(8*c + 8*d*x) + exp(10*c + 10*d*x) + 1) - ((10*(a^4*b + a^3*b^2))/(9*d) + (10*exp(4*c + 4*d*x)*(8*a*b^4 + 7*a^4*b + 16*a^2*b^3 + 15*a^3*b^2))/(3*d) + (50*exp(8*c + 8*d*x)*(8*a*b^4 + 7*a^4*b + 16*a^2*b^3 + 15*a^3*b^2))/(9*d) + (2*exp(6*c + 6*d*x)*(320*a*b^4 + 175*a^4*b + 128*b^5 + 480*a^2*b^3 + 400*a^3*b^2))/(9*d) + (10*exp(2*c + 2*d*x)*(7*a^4*b + 8*a^2*b^3 + 12*a^3*b^2))/(9*d) + (10*exp(10*c + 10*d*x)*(7*a^4*b + 8*a^2*b^3 + 12*a^3*b^2))/(3*d) + (70*exp(12*c + 12*d*x)*(a^4*b + a^3*b^2))/(9*d) + (10*a^4*b*exp(14*c + 14*d*x))/(9*d))/(8*exp(2*c + 2*d*x) + 28*exp(4*c + 4*d*x) + 56*exp(6*c + 6*d*x) + 70*exp(8*c + 8*d*x) + 56*exp(10*c + 10*d*x) + 28*exp(12*c + 12*d*x) + 8*exp(14*c + 14*d*x) + exp(16*c + 16*d*x) + 1) - ((10*(8*a*b^4 + 7*a^4*b + 16*a^2*b^3 + 15*a^3*b^2))/(63*d) + (100*exp(4*c + 4*d*x)*(8*a*b^4 + 7*a^4*b + 16*a^2*b^3 + 15*a^3*b^2))/(63*d) + (2*exp(2*c + 2*d*x)*(320*a*b^4 + 175*a^4*b + 128*b^5 + 480*a^2*b^3 + 400*a^3*b^2))/(63*d) + (100*exp(6*c + 6*d*x)*(7*a^4*b + 8*a^2*b^3 + 12*a^3*b^2))/(63*d) + (50*exp(8*c + 8*d*x)*(a^4*b + a^3*b^2))/(9*d) + (10*a^4*b*exp(10*c + 10*d*x))/(9*d))/(6*exp(2*c + 2*d*x) + 15*exp(4*c + 4*d*x) + 20*exp(6*c + 6*d*x) + 15*exp(8*c + 8*d*x) + 6*exp(10*c + 10*d*x) + exp(12*c + 12*d*x) + 1) - ((10*(7*a^4*b + 8*a^2*b^3 + 12*a^3*b^2))/(63*d) + (20*exp(2*c + 2*d*x)*(a^4*b + a^3*b^2))/(9*d) + (10*a^4*b*exp(4*c + 4*d*x))/(9*d))/(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1) - (10*a^4*b)/(9*d*(exp(2*c + 2*d*x) + 1))","B"
138,1,421,70,1.812470,"\text{Not used}","int(tanh(c + d*x)^5/(a + b/cosh(c + d*x)^2),x)","\frac{2}{b\,d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}-\frac{2}{b\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{x}{a}-\frac{\ln\left(39\,a\,b^7+243\,a^7\,b+27\,a^8+2\,b^8+289\,a^2\,b^6+1017\,a^3\,b^5+1791\,a^4\,b^4+1701\,a^5\,b^3+891\,a^6\,b^2+27\,a^8\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+2\,b^8\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+39\,a\,b^7\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+243\,a^7\,b\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+289\,a^2\,b^6\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+1017\,a^3\,b^5\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+1791\,a^4\,b^4\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+1701\,a^5\,b^3\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+891\,a^6\,b^2\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\right)\,\left(a+2\,b\right)}{b^2\,d}+\frac{\ln\left(a\,b^2+6\,a^2\,b+3\,a^3+6\,a^3\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+3\,a^3\,{\mathrm{e}}^{4\,c}\,{\mathrm{e}}^{4\,d\,x}+4\,b^3\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+26\,a\,b^2\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+24\,a^2\,b\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+a\,b^2\,{\mathrm{e}}^{4\,c}\,{\mathrm{e}}^{4\,d\,x}+6\,a^2\,b\,{\mathrm{e}}^{4\,c}\,{\mathrm{e}}^{4\,d\,x}\right)\,\left(a^2+2\,a\,b+b^2\right)}{2\,a\,b^2\,d}","Not used",1,"2/(b*d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1)) - 2/(b*d*(exp(2*c + 2*d*x) + 1)) - x/a - (log(39*a*b^7 + 243*a^7*b + 27*a^8 + 2*b^8 + 289*a^2*b^6 + 1017*a^3*b^5 + 1791*a^4*b^4 + 1701*a^5*b^3 + 891*a^6*b^2 + 27*a^8*exp(2*c)*exp(2*d*x) + 2*b^8*exp(2*c)*exp(2*d*x) + 39*a*b^7*exp(2*c)*exp(2*d*x) + 243*a^7*b*exp(2*c)*exp(2*d*x) + 289*a^2*b^6*exp(2*c)*exp(2*d*x) + 1017*a^3*b^5*exp(2*c)*exp(2*d*x) + 1791*a^4*b^4*exp(2*c)*exp(2*d*x) + 1701*a^5*b^3*exp(2*c)*exp(2*d*x) + 891*a^6*b^2*exp(2*c)*exp(2*d*x))*(a + 2*b))/(b^2*d) + (log(a*b^2 + 6*a^2*b + 3*a^3 + 6*a^3*exp(2*c)*exp(2*d*x) + 3*a^3*exp(4*c)*exp(4*d*x) + 4*b^3*exp(2*c)*exp(2*d*x) + 26*a*b^2*exp(2*c)*exp(2*d*x) + 24*a^2*b*exp(2*c)*exp(2*d*x) + a*b^2*exp(4*c)*exp(4*d*x) + 6*a^2*b*exp(4*c)*exp(4*d*x))*(2*a*b + a^2 + b^2))/(2*a*b^2*d)","B"
139,1,183,59,1.872710,"\text{Not used}","int(tanh(c + d*x)^4/(a + b/cosh(c + d*x)^2),x)","\frac{x}{a}-\frac{2}{b\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}+\frac{\ln\left(\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,{\left(a+b\right)}^2}{a^2\,b}-\frac{2\,{\left(a+b\right)}^{3/2}\,\left(a+a\,{\mathrm{e}}^{2\,c+2\,d\,x}+2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^2\,b^{3/2}}\right)\,{\left(a+b\right)}^{3/2}}{2\,a\,b^{3/2}\,d}-\frac{\ln\left(\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,{\left(a+b\right)}^2}{a^2\,b}+\frac{2\,{\left(a+b\right)}^{3/2}\,\left(a+a\,{\mathrm{e}}^{2\,c+2\,d\,x}+2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^2\,b^{3/2}}\right)\,{\left(a+b\right)}^{3/2}}{2\,a\,b^{3/2}\,d}","Not used",1,"x/a - 2/(b*d*(exp(2*c + 2*d*x) + 1)) + (log((4*exp(2*c + 2*d*x)*(a + b)^2)/(a^2*b) - (2*(a + b)^(3/2)*(a + a*exp(2*c + 2*d*x) + 2*b*exp(2*c + 2*d*x)))/(a^2*b^(3/2)))*(a + b)^(3/2))/(2*a*b^(3/2)*d) - (log((4*exp(2*c + 2*d*x)*(a + b)^2)/(a^2*b) + (2*(a + b)^(3/2)*(a + a*exp(2*c + 2*d*x) + 2*b*exp(2*c + 2*d*x)))/(a^2*b^(3/2)))*(a + b)^(3/2))/(2*a*b^(3/2)*d)","B"
140,1,238,45,1.650431,"\text{Not used}","int(tanh(c + d*x)^3/(a + b/cosh(c + d*x)^2),x)","\frac{\ln\left(a\,b+3\,a^2+6\,a^2\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+3\,a^2\,{\mathrm{e}}^{4\,c}\,{\mathrm{e}}^{4\,d\,x}+4\,b^2\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+14\,a\,b\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+a\,b\,{\mathrm{e}}^{4\,c}\,{\mathrm{e}}^{4\,d\,x}\right)\,\left(a+b\right)}{2\,a\,b\,d}-\frac{\ln\left(21\,a\,b^4+108\,a^4\,b+27\,a^5+2\,b^5+82\,a^2\,b^3+144\,a^3\,b^2+27\,a^5\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+2\,b^5\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+21\,a\,b^4\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+108\,a^4\,b\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+82\,a^2\,b^3\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+144\,a^3\,b^2\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\right)}{b\,d}-\frac{x}{a}","Not used",1,"(log(a*b + 3*a^2 + 6*a^2*exp(2*c)*exp(2*d*x) + 3*a^2*exp(4*c)*exp(4*d*x) + 4*b^2*exp(2*c)*exp(2*d*x) + 14*a*b*exp(2*c)*exp(2*d*x) + a*b*exp(4*c)*exp(4*d*x))*(a + b))/(2*a*b*d) - log(21*a*b^4 + 108*a^4*b + 27*a^5 + 2*b^5 + 82*a^2*b^3 + 144*a^3*b^2 + 27*a^5*exp(2*c)*exp(2*d*x) + 2*b^5*exp(2*c)*exp(2*d*x) + 21*a*b^4*exp(2*c)*exp(2*d*x) + 108*a^4*b*exp(2*c)*exp(2*d*x) + 82*a^2*b^3*exp(2*c)*exp(2*d*x) + 144*a^3*b^2*exp(2*c)*exp(2*d*x))/(b*d) - x/a","B"
141,1,105,46,0.426010,"\text{Not used}","int(tanh(c + d*x)^2/(a + b/cosh(c + d*x)^2),x)","\frac{x}{a}+\frac{\mathrm{atan}\left(\frac{\sqrt{-a^2\,b\,d^2}}{a\,d\,\sqrt{a+b}}+\frac{\sqrt{-a^2\,b\,d^2}}{2\,b\,d\,\sqrt{a+b}}+\frac{{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\,\sqrt{-a^2\,b\,d^2}}{2\,b\,d\,\sqrt{a+b}}\right)\,\sqrt{a+b}}{\sqrt{-a^2\,b\,d^2}}","Not used",1,"x/a + (atan((-a^2*b*d^2)^(1/2)/(a*d*(a + b)^(1/2)) + (-a^2*b*d^2)^(1/2)/(2*b*d*(a + b)^(1/2)) + (exp(2*c)*exp(2*d*x)*(-a^2*b*d^2)^(1/2))/(2*b*d*(a + b)^(1/2)))*(a + b)^(1/2))/(-a^2*b*d^2)^(1/2)","B"
142,1,51,23,0.345131,"\text{Not used}","int(tanh(c + d*x)/(a + b/cosh(c + d*x)^2),x)","\frac{\ln\left(a+2\,a\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+a\,{\mathrm{e}}^{4\,c}\,{\mathrm{e}}^{4\,d\,x}+4\,b\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\right)-2\,d\,x}{2\,a\,d}","Not used",1,"(log(a + 2*a*exp(2*c)*exp(2*d*x) + a*exp(4*c)*exp(4*d*x) + 4*b*exp(2*c)*exp(2*d*x)) - 2*d*x)/(2*a*d)","B"
143,1,470,46,2.160623,"\text{Not used}","int(1/(a + b/cosh(c + d*x)^2),x)","\frac{x}{a}+\frac{\sqrt{b}\,\mathrm{atan}\left(\frac{\left(a^5\,\sqrt{-a^3\,d^2-b\,a^2\,d^2}+a^4\,b\,\sqrt{-a^3\,d^2-b\,a^2\,d^2}\right)\,\left({\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\,\left(\frac{2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(8\,b^{5/2}\,\sqrt{-a^3\,d^2-b\,a^2\,d^2}+8\,a\,b^{3/2}\,\sqrt{-a^3\,d^2-b\,a^2\,d^2}+a^2\,\sqrt{b}\,\sqrt{-a^3\,d^2-b\,a^2\,d^2}\right)}{a^8\,d\,{\left(a+b\right)}^2\,\sqrt{-a^3\,d^2-b\,a^2\,d^2}}+\frac{4\,\sqrt{b}\,\left(2\,a+4\,b\right)\,\left(4\,d\,a^3\,b+12\,d\,a^2\,b^2+8\,d\,a\,b^3\right)}{a^7\,\left(a+b\right)\,\sqrt{-a^3\,d^2-b\,a^2\,d^2}\,\sqrt{-a^2\,d^2\,\left(a+b\right)}}\right)+\frac{2\,\left(2\,a\,b^{3/2}\,\sqrt{-a^3\,d^2-b\,a^2\,d^2}+a^2\,\sqrt{b}\,\sqrt{-a^3\,d^2-b\,a^2\,d^2}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{a^8\,d\,{\left(a+b\right)}^2\,\sqrt{-a^3\,d^2-b\,a^2\,d^2}}+\frac{4\,\sqrt{b}\,\left(2\,d\,a^3\,b+2\,d\,a^2\,b^2\right)\,\left(2\,a+4\,b\right)}{a^7\,\left(a+b\right)\,\sqrt{-a^3\,d^2-b\,a^2\,d^2}\,\sqrt{-a^2\,d^2\,\left(a+b\right)}}\right)}{4\,b}\right)}{\sqrt{-a^3\,d^2-b\,a^2\,d^2}}","Not used",1,"x/a + (b^(1/2)*atan(((a^5*(- a^3*d^2 - a^2*b*d^2)^(1/2) + a^4*b*(- a^3*d^2 - a^2*b*d^2)^(1/2))*(exp(2*c)*exp(2*d*x)*((2*(8*a*b + a^2 + 8*b^2)*(8*b^(5/2)*(- a^3*d^2 - a^2*b*d^2)^(1/2) + 8*a*b^(3/2)*(- a^3*d^2 - a^2*b*d^2)^(1/2) + a^2*b^(1/2)*(- a^3*d^2 - a^2*b*d^2)^(1/2)))/(a^8*d*(a + b)^2*(- a^3*d^2 - a^2*b*d^2)^(1/2)) + (4*b^(1/2)*(2*a + 4*b)*(12*a^2*b^2*d + 8*a*b^3*d + 4*a^3*b*d))/(a^7*(a + b)*(- a^3*d^2 - a^2*b*d^2)^(1/2)*(-a^2*d^2*(a + b))^(1/2))) + (2*(2*a*b^(3/2)*(- a^3*d^2 - a^2*b*d^2)^(1/2) + a^2*b^(1/2)*(- a^3*d^2 - a^2*b*d^2)^(1/2))*(8*a*b + a^2 + 8*b^2))/(a^8*d*(a + b)^2*(- a^3*d^2 - a^2*b*d^2)^(1/2)) + (4*b^(1/2)*(2*a^2*b^2*d + 2*a^3*b*d)*(2*a + 4*b))/(a^7*(a + b)*(- a^3*d^2 - a^2*b*d^2)^(1/2)*(-a^2*d^2*(a + b))^(1/2))))/(4*b)))/(- a^3*d^2 - a^2*b*d^2)^(1/2)","B"
144,1,228,46,1.816595,"\text{Not used}","int(coth(c + d*x)/(a + b/cosh(c + d*x)^2),x)","\frac{\ln\left(8\,a\,b^5-b^6-24\,a^2\,b^4+32\,a^3\,b^3-16\,a^4\,b^2+b^6\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}-8\,a\,b^5\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+24\,a^2\,b^4\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}-32\,a^3\,b^3\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+16\,a^4\,b^2\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\right)}{a\,d+b\,d}-\frac{x}{a}+\frac{b\,\ln\left(2\,a^2-a\,b+4\,a^2\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+2\,a^2\,{\mathrm{e}}^{4\,c}\,{\mathrm{e}}^{4\,d\,x}-4\,b^2\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+6\,a\,b\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}-a\,b\,{\mathrm{e}}^{4\,c}\,{\mathrm{e}}^{4\,d\,x}\right)}{2\,d\,a^2+2\,b\,d\,a}","Not used",1,"log(8*a*b^5 - b^6 - 24*a^2*b^4 + 32*a^3*b^3 - 16*a^4*b^2 + b^6*exp(2*c)*exp(2*d*x) - 8*a*b^5*exp(2*c)*exp(2*d*x) + 24*a^2*b^4*exp(2*c)*exp(2*d*x) - 32*a^3*b^3*exp(2*c)*exp(2*d*x) + 16*a^4*b^2*exp(2*c)*exp(2*d*x))/(a*d + b*d) - x/a + (b*log(2*a^2 - a*b + 4*a^2*exp(2*c)*exp(2*d*x) + 2*a^2*exp(4*c)*exp(4*d*x) - 4*b^2*exp(2*c)*exp(2*d*x) + 6*a*b*exp(2*c)*exp(2*d*x) - a*b*exp(4*c)*exp(4*d*x)))/(2*a^2*d + 2*a*b*d)","B"
145,1,977,62,3.388816,"\text{Not used}","int(coth(c + d*x)^2/(a + b/cosh(c + d*x)^2),x)","\frac{x}{a}-\frac{2}{\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)\,\left(a\,d+b\,d\right)}+\frac{\mathrm{atan}\left(\frac{\left({\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\,\left(\frac{8\,\left(a+2\,b\right)\,\left(4\,d\,a^4\,b^2+16\,d\,a^3\,b^3+20\,d\,a^2\,b^4+8\,d\,a\,b^5\right)}{a^6\,\left(a+b\right)\,\left(a^3+2\,a^2\,b+a\,b^2\right)\,\sqrt{-a^2\,d^2\,{\left(a+b\right)}^3}\,\sqrt{-a^5\,d^2-3\,a^4\,b\,d^2-3\,a^3\,b^2\,d^2-a^2\,b^3\,d^2}}+\frac{2\,\sqrt{b^3}\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^2\,\sqrt{b^3}\,\sqrt{-a^5\,d^2-3\,a^4\,b\,d^2-3\,a^3\,b^2\,d^2-a^2\,b^3\,d^2}+8\,b^2\,\sqrt{b^3}\,\sqrt{-a^5\,d^2-3\,a^4\,b\,d^2-3\,a^3\,b^2\,d^2-a^2\,b^3\,d^2}+8\,a\,b\,\sqrt{b^3}\,\sqrt{-a^5\,d^2-3\,a^4\,b\,d^2-3\,a^3\,b^2\,d^2-a^2\,b^3\,d^2}\right)}{a^7\,b^2\,d\,{\left(a+b\right)}^3\,\left(a^3+2\,a^2\,b+a\,b^2\right)\,\sqrt{-a^5\,d^2-3\,a^4\,b\,d^2-3\,a^3\,b^2\,d^2-a^2\,b^3\,d^2}}\right)+\frac{8\,\left(a+2\,b\right)\,\left(2\,d\,a^4\,b^2+4\,d\,a^3\,b^3+2\,d\,a^2\,b^4\right)}{a^6\,\left(a+b\right)\,\left(a^3+2\,a^2\,b+a\,b^2\right)\,\sqrt{-a^2\,d^2\,{\left(a+b\right)}^3}\,\sqrt{-a^5\,d^2-3\,a^4\,b\,d^2-3\,a^3\,b^2\,d^2-a^2\,b^3\,d^2}}+\frac{2\,\left(a^2\,\sqrt{b^3}\,\sqrt{-a^5\,d^2-3\,a^4\,b\,d^2-3\,a^3\,b^2\,d^2-a^2\,b^3\,d^2}+2\,a\,b\,\sqrt{b^3}\,\sqrt{-a^5\,d^2-3\,a^4\,b\,d^2-3\,a^3\,b^2\,d^2-a^2\,b^3\,d^2}\right)\,\sqrt{b^3}\,\left(a^2+8\,a\,b+8\,b^2\right)}{a^7\,b^2\,d\,{\left(a+b\right)}^3\,\left(a^3+2\,a^2\,b+a\,b^2\right)\,\sqrt{-a^5\,d^2-3\,a^4\,b\,d^2-3\,a^3\,b^2\,d^2-a^2\,b^3\,d^2}}\right)\,\left(a^7\,\sqrt{-a^5\,d^2-3\,a^4\,b\,d^2-3\,a^3\,b^2\,d^2-a^2\,b^3\,d^2}+a^4\,b^3\,\sqrt{-a^5\,d^2-3\,a^4\,b\,d^2-3\,a^3\,b^2\,d^2-a^2\,b^3\,d^2}+3\,a^5\,b^2\,\sqrt{-a^5\,d^2-3\,a^4\,b\,d^2-3\,a^3\,b^2\,d^2-a^2\,b^3\,d^2}+3\,a^6\,b\,\sqrt{-a^5\,d^2-3\,a^4\,b\,d^2-3\,a^3\,b^2\,d^2-a^2\,b^3\,d^2}\right)}{4\,\sqrt{b^3}}\right)\,\sqrt{b^3}}{\sqrt{-a^5\,d^2-3\,a^4\,b\,d^2-3\,a^3\,b^2\,d^2-a^2\,b^3\,d^2}}","Not used",1,"x/a - 2/((exp(2*c + 2*d*x) - 1)*(a*d + b*d)) + (atan(((exp(2*c)*exp(2*d*x)*((8*(a + 2*b)*(20*a^2*b^4*d + 16*a^3*b^3*d + 4*a^4*b^2*d + 8*a*b^5*d))/(a^6*(a + b)*(a*b^2 + 2*a^2*b + a^3)*(-a^2*d^2*(a + b)^3)^(1/2)*(- a^5*d^2 - 3*a^4*b*d^2 - a^2*b^3*d^2 - 3*a^3*b^2*d^2)^(1/2)) + (2*(b^3)^(1/2)*(8*a*b + a^2 + 8*b^2)*(a^2*(b^3)^(1/2)*(- a^5*d^2 - 3*a^4*b*d^2 - a^2*b^3*d^2 - 3*a^3*b^2*d^2)^(1/2) + 8*b^2*(b^3)^(1/2)*(- a^5*d^2 - 3*a^4*b*d^2 - a^2*b^3*d^2 - 3*a^3*b^2*d^2)^(1/2) + 8*a*b*(b^3)^(1/2)*(- a^5*d^2 - 3*a^4*b*d^2 - a^2*b^3*d^2 - 3*a^3*b^2*d^2)^(1/2)))/(a^7*b^2*d*(a + b)^3*(a*b^2 + 2*a^2*b + a^3)*(- a^5*d^2 - 3*a^4*b*d^2 - a^2*b^3*d^2 - 3*a^3*b^2*d^2)^(1/2))) + (8*(a + 2*b)*(2*a^2*b^4*d + 4*a^3*b^3*d + 2*a^4*b^2*d))/(a^6*(a + b)*(a*b^2 + 2*a^2*b + a^3)*(-a^2*d^2*(a + b)^3)^(1/2)*(- a^5*d^2 - 3*a^4*b*d^2 - a^2*b^3*d^2 - 3*a^3*b^2*d^2)^(1/2)) + (2*(a^2*(b^3)^(1/2)*(- a^5*d^2 - 3*a^4*b*d^2 - a^2*b^3*d^2 - 3*a^3*b^2*d^2)^(1/2) + 2*a*b*(b^3)^(1/2)*(- a^5*d^2 - 3*a^4*b*d^2 - a^2*b^3*d^2 - 3*a^3*b^2*d^2)^(1/2))*(b^3)^(1/2)*(8*a*b + a^2 + 8*b^2))/(a^7*b^2*d*(a + b)^3*(a*b^2 + 2*a^2*b + a^3)*(- a^5*d^2 - 3*a^4*b*d^2 - a^2*b^3*d^2 - 3*a^3*b^2*d^2)^(1/2)))*(a^7*(- a^5*d^2 - 3*a^4*b*d^2 - a^2*b^3*d^2 - 3*a^3*b^2*d^2)^(1/2) + a^4*b^3*(- a^5*d^2 - 3*a^4*b*d^2 - a^2*b^3*d^2 - 3*a^3*b^2*d^2)^(1/2) + 3*a^5*b^2*(- a^5*d^2 - 3*a^4*b*d^2 - a^2*b^3*d^2 - 3*a^3*b^2*d^2)^(1/2) + 3*a^6*b*(- a^5*d^2 - 3*a^4*b*d^2 - a^2*b^3*d^2 - 3*a^3*b^2*d^2)^(1/2)))/(4*(b^3)^(1/2)))*(b^3)^(1/2))/(- a^5*d^2 - 3*a^4*b*d^2 - a^2*b^3*d^2 - 3*a^3*b^2*d^2)^(1/2)","B"
146,1,523,73,2.069068,"\text{Not used}","int(coth(c + d*x)^3/(a + b/cosh(c + d*x)^2),x)","\frac{\ln\left(23\,a\,b^7+8\,a^7\,b-2\,b^8-72\,a^2\,b^6-10\,a^3\,b^5+184\,a^4\,b^4+180\,a^5\,b^3+64\,a^6\,b^2+2\,b^8\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}-23\,a\,b^7\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}-8\,a^7\,b\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+72\,a^2\,b^6\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+10\,a^3\,b^5\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}-184\,a^4\,b^4\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}-180\,a^5\,b^3\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}-64\,a^6\,b^2\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\right)\,\left(a+2\,b\right)}{d\,a^2+2\,d\,a\,b+d\,b^2}-\frac{x}{a}-\frac{2}{\left(a\,d+b\,d\right)\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}+\frac{b^2\,\ln\left(a\,b^4+16\,a^4\,b+4\,a^5-8\,a^2\,b^3+12\,a^3\,b^2+8\,a^5\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+4\,a^5\,{\mathrm{e}}^{4\,c}\,{\mathrm{e}}^{4\,d\,x}+4\,b^5\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}-30\,a\,b^4\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+48\,a^4\,b\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+a\,b^4\,{\mathrm{e}}^{4\,c}\,{\mathrm{e}}^{4\,d\,x}+16\,a^4\,b\,{\mathrm{e}}^{4\,c}\,{\mathrm{e}}^{4\,d\,x}+32\,a^2\,b^3\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+88\,a^3\,b^2\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}-8\,a^2\,b^3\,{\mathrm{e}}^{4\,c}\,{\mathrm{e}}^{4\,d\,x}+12\,a^3\,b^2\,{\mathrm{e}}^{4\,c}\,{\mathrm{e}}^{4\,d\,x}\right)}{2\,d\,a^3+4\,d\,a^2\,b+2\,d\,a\,b^2}-\frac{2\,\left(a^2+b\,a\right)}{a\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)\,\left(a+b\right)\,\left(a\,d+b\,d\right)}","Not used",1,"(log(23*a*b^7 + 8*a^7*b - 2*b^8 - 72*a^2*b^6 - 10*a^3*b^5 + 184*a^4*b^4 + 180*a^5*b^3 + 64*a^6*b^2 + 2*b^8*exp(2*c)*exp(2*d*x) - 23*a*b^7*exp(2*c)*exp(2*d*x) - 8*a^7*b*exp(2*c)*exp(2*d*x) + 72*a^2*b^6*exp(2*c)*exp(2*d*x) + 10*a^3*b^5*exp(2*c)*exp(2*d*x) - 184*a^4*b^4*exp(2*c)*exp(2*d*x) - 180*a^5*b^3*exp(2*c)*exp(2*d*x) - 64*a^6*b^2*exp(2*c)*exp(2*d*x))*(a + 2*b))/(a^2*d + b^2*d + 2*a*b*d) - x/a - 2/((a*d + b*d)*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) + (b^2*log(a*b^4 + 16*a^4*b + 4*a^5 - 8*a^2*b^3 + 12*a^3*b^2 + 8*a^5*exp(2*c)*exp(2*d*x) + 4*a^5*exp(4*c)*exp(4*d*x) + 4*b^5*exp(2*c)*exp(2*d*x) - 30*a*b^4*exp(2*c)*exp(2*d*x) + 48*a^4*b*exp(2*c)*exp(2*d*x) + a*b^4*exp(4*c)*exp(4*d*x) + 16*a^4*b*exp(4*c)*exp(4*d*x) + 32*a^2*b^3*exp(2*c)*exp(2*d*x) + 88*a^3*b^2*exp(2*c)*exp(2*d*x) - 8*a^2*b^3*exp(4*c)*exp(4*d*x) + 12*a^3*b^2*exp(4*c)*exp(4*d*x)))/(2*a^3*d + 2*a*b^2*d + 4*a^2*b*d) - (2*(a*b + a^2))/(a*(exp(2*c + 2*d*x) - 1)*(a + b)*(a*d + b*d))","B"
147,1,779,87,4.145775,"\text{Not used}","int(coth(c + d*x)^4/(a + b/cosh(c + d*x)^2),x)","\frac{x}{a}-\frac{8}{3\,\left(a\,d+b\,d\right)\,\left(3\,{\mathrm{e}}^{2\,c+2\,d\,x}-3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}-1\right)}-\frac{\mathrm{atan}\left(\left({\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\,\left(\frac{4\,b^3}{a^3\,d\,{\left(a+b\right)}^2\,\sqrt{b^5}\,\left(a^3+2\,a^2\,b+a\,b^2\right)}+\frac{\left(a+2\,b\right)\,\left(a^4\,d\,\sqrt{b^5}+2\,a\,b^3\,d\,\sqrt{b^5}+4\,a^3\,b\,d\,\sqrt{b^5}+5\,a^2\,b^2\,d\,\sqrt{b^5}\right)}{a^2\,b^3\,\left(a^3+2\,a^2\,b+a\,b^2\right)\,\sqrt{-a^2\,d^2\,{\left(a+b\right)}^5}\,\sqrt{-a^7\,d^2-5\,a^6\,b\,d^2-10\,a^5\,b^2\,d^2-10\,a^4\,b^3\,d^2-5\,a^3\,b^4\,d^2-a^2\,b^5\,d^2}}\right)+\frac{\left(a+2\,b\right)\,\left(a^4\,d\,\sqrt{b^5}+2\,a^3\,b\,d\,\sqrt{b^5}+a^2\,b^2\,d\,\sqrt{b^5}\right)}{a^2\,b^3\,\left(a^3+2\,a^2\,b+a\,b^2\right)\,\sqrt{-a^2\,d^2\,{\left(a+b\right)}^5}\,\sqrt{-a^7\,d^2-5\,a^6\,b\,d^2-10\,a^5\,b^2\,d^2-10\,a^4\,b^3\,d^2-5\,a^3\,b^4\,d^2-a^2\,b^5\,d^2}}\right)\,\left(\frac{a^4\,\sqrt{-a^7\,d^2-5\,a^6\,b\,d^2-10\,a^5\,b^2\,d^2-10\,a^4\,b^3\,d^2-5\,a^3\,b^4\,d^2-a^2\,b^5\,d^2}}{2}+\frac{a^2\,b^2\,\sqrt{-a^7\,d^2-5\,a^6\,b\,d^2-10\,a^5\,b^2\,d^2-10\,a^4\,b^3\,d^2-5\,a^3\,b^4\,d^2-a^2\,b^5\,d^2}}{2}+a^3\,b\,\sqrt{-a^7\,d^2-5\,a^6\,b\,d^2-10\,a^5\,b^2\,d^2-10\,a^4\,b^3\,d^2-5\,a^3\,b^4\,d^2-a^2\,b^5\,d^2}\right)\right)\,\sqrt{b^5}}{\sqrt{-a^7\,d^2-5\,a^6\,b\,d^2-10\,a^5\,b^2\,d^2-10\,a^4\,b^3\,d^2-5\,a^3\,b^4\,d^2-a^2\,b^5\,d^2}}-\frac{4\,\left(a^2+b\,a\right)}{a\,\left(a+b\right)\,\left(a\,d+b\,d\right)\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{2\,\left(2\,a^2+3\,b\,a\right)}{a\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)\,\left(a+b\right)\,\left(a\,d+b\,d\right)}","Not used",1,"x/a - 8/(3*(a*d + b*d)*(3*exp(2*c + 2*d*x) - 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) - 1)) - (atan((exp(2*c)*exp(2*d*x)*((4*b^3)/(a^3*d*(a + b)^2*(b^5)^(1/2)*(a*b^2 + 2*a^2*b + a^3)) + ((a + 2*b)*(a^4*d*(b^5)^(1/2) + 2*a*b^3*d*(b^5)^(1/2) + 4*a^3*b*d*(b^5)^(1/2) + 5*a^2*b^2*d*(b^5)^(1/2)))/(a^2*b^3*(a*b^2 + 2*a^2*b + a^3)*(-a^2*d^2*(a + b)^5)^(1/2)*(- a^7*d^2 - 5*a^6*b*d^2 - a^2*b^5*d^2 - 5*a^3*b^4*d^2 - 10*a^4*b^3*d^2 - 10*a^5*b^2*d^2)^(1/2))) + ((a + 2*b)*(a^4*d*(b^5)^(1/2) + 2*a^3*b*d*(b^5)^(1/2) + a^2*b^2*d*(b^5)^(1/2)))/(a^2*b^3*(a*b^2 + 2*a^2*b + a^3)*(-a^2*d^2*(a + b)^5)^(1/2)*(- a^7*d^2 - 5*a^6*b*d^2 - a^2*b^5*d^2 - 5*a^3*b^4*d^2 - 10*a^4*b^3*d^2 - 10*a^5*b^2*d^2)^(1/2)))*((a^4*(- a^7*d^2 - 5*a^6*b*d^2 - a^2*b^5*d^2 - 5*a^3*b^4*d^2 - 10*a^4*b^3*d^2 - 10*a^5*b^2*d^2)^(1/2))/2 + (a^2*b^2*(- a^7*d^2 - 5*a^6*b*d^2 - a^2*b^5*d^2 - 5*a^3*b^4*d^2 - 10*a^4*b^3*d^2 - 10*a^5*b^2*d^2)^(1/2))/2 + a^3*b*(- a^7*d^2 - 5*a^6*b*d^2 - a^2*b^5*d^2 - 5*a^3*b^4*d^2 - 10*a^4*b^3*d^2 - 10*a^5*b^2*d^2)^(1/2)))*(b^5)^(1/2))/(- a^7*d^2 - 5*a^6*b*d^2 - a^2*b^5*d^2 - 5*a^3*b^4*d^2 - 10*a^4*b^3*d^2 - 10*a^5*b^2*d^2)^(1/2) - (4*(a*b + a^2))/(a*(a + b)*(a*d + b*d)*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) - (2*(3*a*b + 2*a^2))/(a*(exp(2*c + 2*d*x) - 1)*(a + b)*(a*d + b*d))","B"
148,0,-1,76,0.000000,"\text{Not used}","int(tanh(c + d*x)^5/(a + b/cosh(c + d*x)^2)^2,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^4\,{\mathrm{tanh}\left(c+d\,x\right)}^5}{{\left(a\,{\mathrm{cosh}\left(c+d\,x\right)}^2+b\right)}^2} \,d x","Not used",1,"int((cosh(c + d*x)^4*tanh(c + d*x)^5)/(b + a*cosh(c + d*x)^2)^2, x)","F"
149,0,-1,91,0.000000,"\text{Not used}","int(tanh(c + d*x)^4/(a + b/cosh(c + d*x)^2)^2,x)","\int \frac{{\left({\mathrm{cosh}\left(c+d\,x\right)}^2-1\right)}^2}{{\left(a\,{\mathrm{cosh}\left(c+d\,x\right)}^2+b\right)}^2} \,d x","Not used",1,"int((cosh(c + d*x)^2 - 1)^2/(b + a*cosh(c + d*x)^2)^2, x)","F"
150,0,-1,51,0.000000,"\text{Not used}","int(tanh(c + d*x)^3/(a + b/cosh(c + d*x)^2)^2,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^4\,{\mathrm{tanh}\left(c+d\,x\right)}^3}{{\left(a\,{\mathrm{cosh}\left(c+d\,x\right)}^2+b\right)}^2} \,d x","Not used",1,"int((cosh(c + d*x)^4*tanh(c + d*x)^3)/(b + a*cosh(c + d*x)^2)^2, x)","F"
151,0,-1,85,0.000000,"\text{Not used}","int(tanh(c + d*x)^2/(a + b/cosh(c + d*x)^2)^2,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^2\,\left({\mathrm{cosh}\left(c+d\,x\right)}^2-1\right)}{{\left(a\,{\mathrm{cosh}\left(c+d\,x\right)}^2+b\right)}^2} \,d x","Not used",1,"int((cosh(c + d*x)^2*(cosh(c + d*x)^2 - 1))/(b + a*cosh(c + d*x)^2)^2, x)","F"
152,1,53,49,1.729986,"\text{Not used}","int(tanh(c + d*x)/(a + b/cosh(c + d*x)^2)^2,x)","\frac{\ln\left({\mathrm{cosh}\left(c+d\,x\right)}^2\,\left(a+\frac{b}{{\mathrm{cosh}\left(c+d\,x\right)}^2}\right)\right)}{2\,a^2\,d}-\frac{1}{2\,a\,d\,\left(a+\frac{b}{{\mathrm{cosh}\left(c+d\,x\right)}^2}\right)}","Not used",1,"log(cosh(c + d*x)^2*(a + b/cosh(c + d*x)^2))/(2*a^2*d) - 1/(2*a*d*(a + b/cosh(c + d*x)^2))","B"
153,0,-1,93,0.000000,"\text{Not used}","int(1/(a + b/cosh(c + d*x)^2)^2,x)","\int \frac{1}{{\left(a+\frac{b}{{\mathrm{cosh}\left(c+d\,x\right)}^2}\right)}^2} \,d x","Not used",1,"int(1/(a + b/cosh(c + d*x)^2)^2, x)","F"
154,0,-1,83,0.000000,"\text{Not used}","int(coth(c + d*x)/(a + b/cosh(c + d*x)^2)^2,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^4\,\mathrm{coth}\left(c+d\,x\right)}{{\left(a\,{\mathrm{cosh}\left(c+d\,x\right)}^2+b\right)}^2} \,d x","Not used",1,"int((cosh(c + d*x)^4*coth(c + d*x))/(b + a*cosh(c + d*x)^2)^2, x)","F"
155,0,-1,121,0.000000,"\text{Not used}","int(coth(c + d*x)^2/(a + b/cosh(c + d*x)^2)^2,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^4\,{\mathrm{coth}\left(c+d\,x\right)}^2}{{\left(a\,{\mathrm{cosh}\left(c+d\,x\right)}^2+b\right)}^2} \,d x","Not used",1,"int((cosh(c + d*x)^4*coth(c + d*x)^2)/(b + a*cosh(c + d*x)^2)^2, x)","F"
156,0,-1,110,0.000000,"\text{Not used}","int(coth(c + d*x)^3/(a + b/cosh(c + d*x)^2)^2,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^4\,{\mathrm{coth}\left(c+d\,x\right)}^3}{{\left(a\,{\mathrm{cosh}\left(c+d\,x\right)}^2+b\right)}^2} \,d x","Not used",1,"int((cosh(c + d*x)^4*coth(c + d*x)^3)/(b + a*cosh(c + d*x)^2)^2, x)","F"
157,0,-1,161,0.000000,"\text{Not used}","int(coth(c + d*x)^4/(a + b/cosh(c + d*x)^2)^2,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^4\,{\mathrm{coth}\left(c+d\,x\right)}^4}{{\left(a\,{\mathrm{cosh}\left(c+d\,x\right)}^2+b\right)}^2} \,d x","Not used",1,"int((cosh(c + d*x)^4*coth(c + d*x)^4)/(b + a*cosh(c + d*x)^2)^2, x)","F"
158,0,-1,148,0.000000,"\text{Not used}","int(tanh(c + d*x)^6/(a + b/cosh(c + d*x)^2)^3,x)","\int \frac{{\left({\mathrm{cosh}\left(c+d\,x\right)}^2-1\right)}^3}{{\left(a\,{\mathrm{cosh}\left(c+d\,x\right)}^2+b\right)}^3} \,d x","Not used",1,"int((cosh(c + d*x)^2 - 1)^3/(b + a*cosh(c + d*x)^2)^3, x)","F"
159,0,-1,77,0.000000,"\text{Not used}","int(tanh(c + d*x)^5/(a + b/cosh(c + d*x)^2)^3,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^6\,{\mathrm{tanh}\left(c+d\,x\right)}^5}{{\left(a\,{\mathrm{cosh}\left(c+d\,x\right)}^2+b\right)}^3} \,d x","Not used",1,"int((cosh(c + d*x)^6*tanh(c + d*x)^5)/(b + a*cosh(c + d*x)^2)^3, x)","F"
160,0,-1,139,0.000000,"\text{Not used}","int(tanh(c + d*x)^4/(a + b/cosh(c + d*x)^2)^3,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^6\,{\mathrm{tanh}\left(c+d\,x\right)}^4}{{\left(a\,{\mathrm{cosh}\left(c+d\,x\right)}^2+b\right)}^3} \,d x","Not used",1,"int((cosh(c + d*x)^6*tanh(c + d*x)^4)/(b + a*cosh(c + d*x)^2)^3, x)","F"
161,0,-1,81,0.000000,"\text{Not used}","int(tanh(c + d*x)^3/(a + b/cosh(c + d*x)^2)^3,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^6\,{\mathrm{tanh}\left(c+d\,x\right)}^3}{{\left(a\,{\mathrm{cosh}\left(c+d\,x\right)}^2+b\right)}^3} \,d x","Not used",1,"int((cosh(c + d*x)^6*tanh(c + d*x)^3)/(b + a*cosh(c + d*x)^2)^3, x)","F"
162,0,-1,139,0.000000,"\text{Not used}","int(tanh(c + d*x)^2/(a + b/cosh(c + d*x)^2)^3,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^4\,\left({\mathrm{cosh}\left(c+d\,x\right)}^2-1\right)}{{\left(a\,{\mathrm{cosh}\left(c+d\,x\right)}^2+b\right)}^3} \,d x","Not used",1,"int((cosh(c + d*x)^4*(cosh(c + d*x)^2 - 1))/(b + a*cosh(c + d*x)^2)^3, x)","F"
163,1,94,73,1.603996,"\text{Not used}","int(tanh(c + d*x)/(a + b/cosh(c + d*x)^2)^3,x)","\frac{\ln\left({\mathrm{cosh}\left(c+d\,x\right)}^2\,\left(a+\frac{b}{{\mathrm{cosh}\left(c+d\,x\right)}^2}\right)\right)}{2\,a^3\,d}-\frac{b^2}{4\,a^3\,d\,{\mathrm{cosh}\left(c+d\,x\right)}^4\,{\left(a+\frac{b}{{\mathrm{cosh}\left(c+d\,x\right)}^2}\right)}^2}+\frac{b}{a^3\,d\,{\mathrm{cosh}\left(c+d\,x\right)}^2\,\left(a+\frac{b}{{\mathrm{cosh}\left(c+d\,x\right)}^2}\right)}","Not used",1,"log(cosh(c + d*x)^2*(a + b/cosh(c + d*x)^2))/(2*a^3*d) - b^2/(4*a^3*d*cosh(c + d*x)^4*(a + b/cosh(c + d*x)^2)^2) + b/(a^3*d*cosh(c + d*x)^2*(a + b/cosh(c + d*x)^2))","B"
164,0,-1,146,0.000000,"\text{Not used}","int(1/(a + b/cosh(c + d*x)^2)^3,x)","\int \frac{1}{{\left(a+\frac{b}{{\mathrm{cosh}\left(c+d\,x\right)}^2}\right)}^3} \,d x","Not used",1,"int(1/(a + b/cosh(c + d*x)^2)^3, x)","F"
165,0,-1,130,0.000000,"\text{Not used}","int(coth(c + d*x)/(a + b/cosh(c + d*x)^2)^3,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^6\,\mathrm{coth}\left(c+d\,x\right)}{{\left(a\,{\mathrm{cosh}\left(c+d\,x\right)}^2+b\right)}^3} \,d x","Not used",1,"int((cosh(c + d*x)^6*coth(c + d*x))/(b + a*cosh(c + d*x)^2)^3, x)","F"
166,0,-1,182,0.000000,"\text{Not used}","int(coth(c + d*x)^2/(a + b/cosh(c + d*x)^2)^3,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^6\,{\mathrm{coth}\left(c+d\,x\right)}^2}{{\left(a\,{\mathrm{cosh}\left(c+d\,x\right)}^2+b\right)}^3} \,d x","Not used",1,"int((cosh(c + d*x)^6*coth(c + d*x)^2)/(b + a*cosh(c + d*x)^2)^3, x)","F"
167,0,-1,152,0.000000,"\text{Not used}","int(coth(c + d*x)^3/(a + b/cosh(c + d*x)^2)^3,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^6\,{\mathrm{coth}\left(c+d\,x\right)}^3}{{\left(a\,{\mathrm{cosh}\left(c+d\,x\right)}^2+b\right)}^3} \,d x","Not used",1,"int((cosh(c + d*x)^6*coth(c + d*x)^3)/(b + a*cosh(c + d*x)^2)^3, x)","F"
168,0,-1,232,0.000000,"\text{Not used}","int(coth(c + d*x)^4/(a + b/cosh(c + d*x)^2)^3,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^6\,{\mathrm{coth}\left(c+d\,x\right)}^4}{{\left(a\,{\mathrm{cosh}\left(c+d\,x\right)}^2+b\right)}^3} \,d x","Not used",1,"int((cosh(c + d*x)^6*coth(c + d*x)^4)/(b + a*cosh(c + d*x)^2)^3, x)","F"
169,0,-1,207,0.000000,"\text{Not used}","int(1/(a + b/cosh(c + d*x)^2)^4,x)","\int \frac{1}{{\left(a+\frac{b}{{\mathrm{cosh}\left(c+d\,x\right)}^2}\right)}^4} \,d x","Not used",1,"int(1/(a + b/cosh(c + d*x)^2)^4, x)","F"
170,0,-1,29,0.000000,"\text{Not used}","int((1 - 1/cosh(x)^2)^(3/2),x)","\int {\left(1-\frac{1}{{\mathrm{cosh}\left(x\right)}^2}\right)}^{3/2} \,d x","Not used",1,"int((1 - 1/cosh(x)^2)^(3/2), x)","F"
171,0,-1,14,0.000000,"\text{Not used}","int((1 - 1/cosh(x)^2)^(1/2),x)","\int \sqrt{1-\frac{1}{{\mathrm{cosh}\left(x\right)}^2}} \,d x","Not used",1,"int((1 - 1/cosh(x)^2)^(1/2), x)","F"
172,0,-1,14,0.000000,"\text{Not used}","int(1/(1 - 1/cosh(x)^2)^(1/2),x)","\int \frac{1}{\sqrt{1-\frac{1}{{\mathrm{cosh}\left(x\right)}^2}}} \,d x","Not used",1,"int(1/(1 - 1/cosh(x)^2)^(1/2), x)","F"
173,0,-1,34,0.000000,"\text{Not used}","int((1/cosh(x)^2 - 1)^(3/2),x)","\int {\left(\frac{1}{{\mathrm{cosh}\left(x\right)}^2}-1\right)}^{3/2} \,d x","Not used",1,"int((1/cosh(x)^2 - 1)^(3/2), x)","F"
174,0,-1,16,0.000000,"\text{Not used}","int((1/cosh(x)^2 - 1)^(1/2),x)","\int \sqrt{\frac{1}{{\mathrm{cosh}\left(x\right)}^2}-1} \,d x","Not used",1,"int((1/cosh(x)^2 - 1)^(1/2), x)","F"
175,0,-1,16,0.000000,"\text{Not used}","int(1/(1/cosh(x)^2 - 1)^(1/2),x)","\int \frac{1}{\sqrt{\frac{1}{{\mathrm{cosh}\left(x\right)}^2}-1}} \,d x","Not used",1,"int(1/(1/cosh(x)^2 - 1)^(1/2), x)","F"
176,0,-1,83,0.000000,"\text{Not used}","int(tanh(x)^5*(a + b/cosh(x)^2)^(1/2),x)","\int {\mathrm{tanh}\left(x\right)}^5\,\sqrt{a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}} \,d x","Not used",1,"int(tanh(x)^5*(a + b/cosh(x)^2)^(1/2), x)","F"
177,0,-1,125,0.000000,"\text{Not used}","int(tanh(x)^4*(a + b/cosh(x)^2)^(1/2),x)","\int {\mathrm{tanh}\left(x\right)}^4\,\sqrt{a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}} \,d x","Not used",1,"int(tanh(x)^4*(a + b/cosh(x)^2)^(1/2), x)","F"
178,0,-1,59,0.000000,"\text{Not used}","int(tanh(x)^3*(a + b/cosh(x)^2)^(1/2),x)","\int {\mathrm{tanh}\left(x\right)}^3\,\sqrt{a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}} \,d x","Not used",1,"int(tanh(x)^3*(a + b/cosh(x)^2)^(1/2), x)","F"
179,0,-1,87,0.000000,"\text{Not used}","int(tanh(x)^2*(a + b/cosh(x)^2)^(1/2),x)","\int {\mathrm{tanh}\left(x\right)}^2\,\sqrt{a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}} \,d x","Not used",1,"int(tanh(x)^2*(a + b/cosh(x)^2)^(1/2), x)","F"
180,1,32,40,1.709824,"\text{Not used}","int(tanh(x)*(a + b/cosh(x)^2)^(1/2),x)","\sqrt{a}\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}}}{\sqrt{a}}\right)-\sqrt{a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}}","Not used",1,"a^(1/2)*atanh((a + b/cosh(x)^2)^(1/2)/a^(1/2)) - (a + b/cosh(x)^2)^(1/2)","B"
181,0,-1,59,0.000000,"\text{Not used}","int((a + b/cosh(x)^2)^(1/2),x)","\int \sqrt{a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}} \,d x","Not used",1,"int((a + b/cosh(x)^2)^(1/2), x)","F"
182,0,-1,56,0.000000,"\text{Not used}","int(coth(x)*(a + b/cosh(x)^2)^(1/2),x)","\int \mathrm{coth}\left(x\right)\,\sqrt{a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}} \,d x","Not used",1,"int(coth(x)*(a + b/cosh(x)^2)^(1/2), x)","F"
183,0,-1,48,0.000000,"\text{Not used}","int(coth(x)^2*(a + b/cosh(x)^2)^(1/2),x)","\int {\mathrm{coth}\left(x\right)}^2\,\sqrt{a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}} \,d x","Not used",1,"int(coth(x)^2*(a + b/cosh(x)^2)^(1/2), x)","F"
184,0,-1,83,0.000000,"\text{Not used}","int(coth(x)^3*(a + b/cosh(x)^2)^(1/2),x)","\int {\mathrm{coth}\left(x\right)}^3\,\sqrt{a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}} \,d x","Not used",1,"int(coth(x)^3*(a + b/cosh(x)^2)^(1/2), x)","F"
185,0,-1,84,0.000000,"\text{Not used}","int(coth(x)^4*(a + b/cosh(x)^2)^(1/2),x)","\int {\mathrm{coth}\left(x\right)}^4\,\sqrt{a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}} \,d x","Not used",1,"int(coth(x)^4*(a + b/cosh(x)^2)^(1/2), x)","F"
186,0,-1,125,0.000000,"\text{Not used}","int(coth(x)^5*(a + b/cosh(x)^2)^(1/2),x)","\int {\mathrm{coth}\left(x\right)}^5\,\sqrt{a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}} \,d x","Not used",1,"int(coth(x)^5*(a + b/cosh(x)^2)^(1/2), x)","F"
187,0,-1,76,0.000000,"\text{Not used}","int(tanh(x)^3*(a + b/cosh(x)^2)^(3/2),x)","\int {\mathrm{tanh}\left(x\right)}^3\,{\left(a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}\right)}^{3/2} \,d x","Not used",1,"int(tanh(x)^3*(a + b/cosh(x)^2)^(3/2), x)","F"
188,0,-1,125,0.000000,"\text{Not used}","int(tanh(x)^2*(a + b/cosh(x)^2)^(3/2),x)","\int {\mathrm{tanh}\left(x\right)}^2\,{\left(a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}\right)}^{3/2} \,d x","Not used",1,"int(tanh(x)^2*(a + b/cosh(x)^2)^(3/2), x)","F"
189,1,45,57,3.358911,"\text{Not used}","int(tanh(x)*(a + b/cosh(x)^2)^(3/2),x)","a^{3/2}\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}}}{\sqrt{a}}\right)-\frac{{\left(a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}\right)}^{3/2}}{3}-a\,\sqrt{a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}}","Not used",1,"a^(3/2)*atanh((a + b/cosh(x)^2)^(1/2)/a^(1/2)) - (a + b/cosh(x)^2)^(3/2)/3 - a*(a + b/cosh(x)^2)^(1/2)","B"
190,0,-1,88,0.000000,"\text{Not used}","int((a + b/cosh(x)^2)^(3/2),x)","\int {\left(a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}\right)}^{3/2} \,d x","Not used",1,"int((a + b/cosh(x)^2)^(3/2), x)","F"
191,0,-1,70,0.000000,"\text{Not used}","int(coth(x)*(a + b/cosh(x)^2)^(3/2),x)","\int \mathrm{coth}\left(x\right)\,{\left(a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}\right)}^{3/2} \,d x","Not used",1,"int(coth(x)*(a + b/cosh(x)^2)^(3/2), x)","F"
192,0,-1,81,0.000000,"\text{Not used}","int(coth(x)^2*(a + b/cosh(x)^2)^(3/2),x)","\int {\mathrm{coth}\left(x\right)}^2\,{\left(a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}\right)}^{3/2} \,d x","Not used",1,"int(coth(x)^2*(a + b/cosh(x)^2)^(3/2), x)","F"
193,0,-1,170,0.000000,"\text{Not used}","int((a + b/cosh(c + d*x)^2)^(5/2),x)","\int {\left(a+\frac{b}{{\mathrm{cosh}\left(c+d\,x\right)}^2}\right)}^{5/2} \,d x","Not used",1,"int((a + b/cosh(c + d*x)^2)^(5/2), x)","F"
194,0,-1,66,0.000000,"\text{Not used}","int(tanh(x)^5/(a + b/cosh(x)^2)^(1/2),x)","\int \frac{{\mathrm{tanh}\left(x\right)}^5}{\sqrt{a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}}} \,d x","Not used",1,"int(tanh(x)^5/(a + b/cosh(x)^2)^(1/2), x)","F"
195,0,-1,90,0.000000,"\text{Not used}","int(tanh(x)^4/(a + b/cosh(x)^2)^(1/2),x)","\int \frac{{\mathrm{tanh}\left(x\right)}^4}{\sqrt{a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}}} \,d x","Not used",1,"int(tanh(x)^4/(a + b/cosh(x)^2)^(1/2), x)","F"
196,0,-1,42,0.000000,"\text{Not used}","int(tanh(x)^3/(a + b/cosh(x)^2)^(1/2),x)","\int \frac{{\mathrm{tanh}\left(x\right)}^3}{\sqrt{a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}}} \,d x","Not used",1,"int(tanh(x)^3/(a + b/cosh(x)^2)^(1/2), x)","F"
197,0,-1,60,0.000000,"\text{Not used}","int(tanh(x)^2/(a + b/cosh(x)^2)^(1/2),x)","\int \frac{{\mathrm{tanh}\left(x\right)}^2}{\sqrt{a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}}} \,d x","Not used",1,"int(tanh(x)^2/(a + b/cosh(x)^2)^(1/2), x)","F"
198,1,19,25,1.666961,"\text{Not used}","int(tanh(x)/(a + b/cosh(x)^2)^(1/2),x)","\frac{\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}}}{\sqrt{a}}\right)}{\sqrt{a}}","Not used",1,"atanh((a + b/cosh(x)^2)^(1/2)/a^(1/2))/a^(1/2)","B"
199,0,-1,29,0.000000,"\text{Not used}","int(1/(a + b/cosh(x)^2)^(1/2),x)","\int \frac{1}{\sqrt{a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}}} \,d x","Not used",1,"int(1/(a + b/cosh(x)^2)^(1/2), x)","F"
200,0,-1,56,0.000000,"\text{Not used}","int(coth(x)/(a + b/cosh(x)^2)^(1/2),x)","\int \frac{\mathrm{coth}\left(x\right)}{\sqrt{a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}}} \,d x","Not used",1,"int(coth(x)/(a + b/cosh(x)^2)^(1/2), x)","F"
201,0,-1,53,0.000000,"\text{Not used}","int(coth(x)^2/(a + b/cosh(x)^2)^(1/2),x)","\int \frac{{\mathrm{coth}\left(x\right)}^2}{\sqrt{a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}}} \,d x","Not used",1,"int(coth(x)^2/(a + b/cosh(x)^2)^(1/2), x)","F"
202,0,-1,90,0.000000,"\text{Not used}","int(coth(x)^3/(a + b/cosh(x)^2)^(1/2),x)","\int \frac{{\mathrm{coth}\left(x\right)}^3}{\sqrt{a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}}} \,d x","Not used",1,"int(coth(x)^3/(a + b/cosh(x)^2)^(1/2), x)","F"
203,0,-1,68,0.000000,"\text{Not used}","int(tanh(x)^5/(a + b/cosh(x)^2)^(3/2),x)","\int \frac{{\mathrm{tanh}\left(x\right)}^5}{{\left(a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(tanh(x)^5/(a + b/cosh(x)^2)^(3/2), x)","F"
204,0,-1,86,0.000000,"\text{Not used}","int(tanh(x)^4/(a + b/cosh(x)^2)^(3/2),x)","\int \frac{{\mathrm{tanh}\left(x\right)}^4}{{\left(a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(tanh(x)^4/(a + b/cosh(x)^2)^(3/2), x)","F"
205,0,-1,49,0.000000,"\text{Not used}","int(tanh(x)^3/(a + b/cosh(x)^2)^(3/2),x)","\int \frac{{\mathrm{tanh}\left(x\right)}^3}{{\left(a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(tanh(x)^3/(a + b/cosh(x)^2)^(3/2), x)","F"
206,0,-1,51,0.000000,"\text{Not used}","int(tanh(x)^2/(a + b/cosh(x)^2)^(3/2),x)","\int \frac{{\mathrm{tanh}\left(x\right)}^2}{{\left(a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(tanh(x)^2/(a + b/cosh(x)^2)^(3/2), x)","F"
207,1,35,43,1.740819,"\text{Not used}","int(tanh(x)/(a + b/cosh(x)^2)^(3/2),x)","\frac{\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}}}{\sqrt{a}}\right)}{a^{3/2}}-\frac{1}{a\,\sqrt{a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}}}","Not used",1,"atanh((a + b/cosh(x)^2)^(1/2)/a^(1/2))/a^(3/2) - 1/(a*(a + b/cosh(x)^2)^(1/2))","B"
208,0,-1,57,0.000000,"\text{Not used}","int(1/(a + b/cosh(x)^2)^(3/2),x)","\int \frac{1}{{\left(a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(1/(a + b/cosh(x)^2)^(3/2), x)","F"
209,0,-1,79,0.000000,"\text{Not used}","int(coth(x)/(a + b/cosh(x)^2)^(3/2),x)","\int \frac{\mathrm{coth}\left(x\right)}{{\left(a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(coth(x)/(a + b/cosh(x)^2)^(3/2), x)","F"
210,0,-1,88,0.000000,"\text{Not used}","int(coth(x)^2/(a + b/cosh(x)^2)^(3/2),x)","\int \frac{{\mathrm{coth}\left(x\right)}^2}{{\left(a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(coth(x)^2/(a + b/cosh(x)^2)^(3/2), x)","F"
211,0,-1,118,0.000000,"\text{Not used}","int(tanh(x)^6/(a + b/cosh(x)^2)^(5/2),x)","\int \frac{{\mathrm{tanh}\left(x\right)}^6}{{\left(a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}\right)}^{5/2}} \,d x","Not used",1,"int(tanh(x)^6/(a + b/cosh(x)^2)^(5/2), x)","F"
212,0,-1,76,0.000000,"\text{Not used}","int(tanh(x)^5/(a + b/cosh(x)^2)^(5/2),x)","\int \frac{{\mathrm{tanh}\left(x\right)}^5}{{\left(a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}\right)}^{5/2}} \,d x","Not used",1,"int(tanh(x)^5/(a + b/cosh(x)^2)^(5/2), x)","F"
213,0,-1,90,0.000000,"\text{Not used}","int(tanh(x)^4/(a + b/cosh(x)^2)^(5/2),x)","\int \frac{{\mathrm{tanh}\left(x\right)}^4}{{\left(a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}\right)}^{5/2}} \,d x","Not used",1,"int(tanh(x)^4/(a + b/cosh(x)^2)^(5/2), x)","F"
214,0,-1,68,0.000000,"\text{Not used}","int(tanh(x)^3/(a + b/cosh(x)^2)^(5/2),x)","\int \frac{{\mathrm{tanh}\left(x\right)}^3}{{\left(a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}\right)}^{5/2}} \,d x","Not used",1,"int(tanh(x)^3/(a + b/cosh(x)^2)^(5/2), x)","F"
215,0,-1,88,0.000000,"\text{Not used}","int(tanh(x)^2/(a + b/cosh(x)^2)^(5/2),x)","\int \frac{{\mathrm{tanh}\left(x\right)}^2}{{\left(a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}\right)}^{5/2}} \,d x","Not used",1,"int(tanh(x)^2/(a + b/cosh(x)^2)^(5/2), x)","F"
216,1,50,62,3.069425,"\text{Not used}","int(tanh(x)/(a + b/cosh(x)^2)^(5/2),x)","\frac{\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}}}{\sqrt{a}}\right)}{a^{5/2}}-\frac{\frac{1}{3\,a}+\frac{a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}}{a^2}}{{\left(a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}\right)}^{3/2}}","Not used",1,"atanh((a + b/cosh(x)^2)^(1/2)/a^(1/2))/a^(5/2) - (1/(3*a) + (a + b/cosh(x)^2)/a^2)/(a + b/cosh(x)^2)^(3/2)","B"
217,0,-1,95,0.000000,"\text{Not used}","int(1/(a + b/cosh(x)^2)^(5/2),x)","\int \frac{1}{{\left(a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}\right)}^{5/2}} \,d x","Not used",1,"int(1/(a + b/cosh(x)^2)^(5/2), x)","F"
218,0,-1,109,0.000000,"\text{Not used}","int(coth(x)/(a + b/cosh(x)^2)^(5/2),x)","\int \frac{\mathrm{coth}\left(x\right)}{{\left(a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}\right)}^{5/2}} \,d x","Not used",1,"int(coth(x)/(a + b/cosh(x)^2)^(5/2), x)","F"
219,0,-1,133,0.000000,"\text{Not used}","int(coth(x)^2/(a + b/cosh(x)^2)^(5/2),x)","\int \frac{{\mathrm{coth}\left(x\right)}^2}{{\left(a+\frac{b}{{\mathrm{cosh}\left(x\right)}^2}\right)}^{5/2}} \,d x","Not used",1,"int(coth(x)^2/(a + b/cosh(x)^2)^(5/2), x)","F"
220,0,-1,183,0.000000,"\text{Not used}","int(1/(a + b/cosh(c + d*x)^2)^(7/2),x)","\int \frac{1}{{\left(a+\frac{b}{{\mathrm{cosh}\left(c+d\,x\right)}^2}\right)}^{7/2}} \,d x","Not used",1,"int(1/(a + b/cosh(c + d*x)^2)^(7/2), x)","F"