1,1,101,73,0.244739,"\text{Not used}","int(sinh(c + d*x)^4*(a + b*tanh(c + d*x)^2),x)","x\,\left(\frac{3\,a}{8}+\frac{15\,b}{8}\right)+\frac{2\,b}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{{\mathrm{e}}^{-4\,c-4\,d\,x}\,\left(a+b\right)}{64\,d}+\frac{{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(a+b\right)}{64\,d}+\frac{{\mathrm{e}}^{-2\,c-2\,d\,x}\,\left(a+2\,b\right)}{8\,d}-\frac{{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a+2\,b\right)}{8\,d}","Not used",1,"x*((3*a)/8 + (15*b)/8) + (2*b)/(d*(exp(2*c + 2*d*x) + 1)) - (exp(- 4*c - 4*d*x)*(a + b))/(64*d) + (exp(4*c + 4*d*x)*(a + b))/(64*d) + (exp(- 2*c - 2*d*x)*(a + 2*b))/(8*d) - (exp(2*c + 2*d*x)*(a + 2*b))/(8*d)","B"
2,1,99,47,1.174062,"\text{Not used}","int(sinh(c + d*x)^3*(a + b*tanh(c + d*x)^2),x)","\frac{{\mathrm{e}}^{-3\,c-3\,d\,x}\,\left(a+b\right)}{24\,d}+\frac{{\mathrm{e}}^{3\,c+3\,d\,x}\,\left(a+b\right)}{24\,d}-\frac{{\mathrm{e}}^{c+d\,x}\,\left(3\,a+7\,b\right)}{8\,d}-\frac{{\mathrm{e}}^{-c-d\,x}\,\left(3\,a+7\,b\right)}{8\,d}-\frac{2\,b\,{\mathrm{e}}^{c+d\,x}}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"(exp(- 3*c - 3*d*x)*(a + b))/(24*d) + (exp(3*c + 3*d*x)*(a + b))/(24*d) - (exp(c + d*x)*(3*a + 7*b))/(8*d) - (exp(- c - d*x)*(3*a + 7*b))/(8*d) - (2*b*exp(c + d*x))/(d*(exp(2*c + 2*d*x) + 1))","B"
3,1,64,44,0.145151,"\text{Not used}","int(sinh(c + d*x)^2*(a + b*tanh(c + d*x)^2),x)","\frac{{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a+b\right)}{8\,d}-\frac{2\,b}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{{\mathrm{e}}^{-2\,c-2\,d\,x}\,\left(a+b\right)}{8\,d}-x\,\left(\frac{a}{2}+\frac{3\,b}{2}\right)","Not used",1,"(exp(2*c + 2*d*x)*(a + b))/(8*d) - (2*b)/(d*(exp(2*c + 2*d*x) + 1)) - (exp(- 2*c - 2*d*x)*(a + b))/(8*d) - x*(a/2 + (3*b)/2)","B"
4,1,27,25,0.117910,"\text{Not used}","int(sinh(c + d*x)*(a + b*tanh(c + d*x)^2),x)","\frac{b}{d\,\mathrm{cosh}\left(c+d\,x\right)}+\frac{\mathrm{cosh}\left(c+d\,x\right)\,\left(a+b\right)}{d}","Not used",1,"b/(d*cosh(c + d*x)) + (cosh(c + d*x)*(a + b))/d","B"
5,1,64,26,0.117504,"\text{Not used}","int((a + b*tanh(c + d*x)^2)/sinh(c + d*x),x)","-\frac{2\,\mathrm{atan}\left(\frac{a\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\sqrt{-d^2}}{d\,\sqrt{a^2}}\right)\,\sqrt{a^2}}{\sqrt{-d^2}}-\frac{2\,b\,{\mathrm{e}}^{c+d\,x}}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"- (2*atan((a*exp(d*x)*exp(c)*(-d^2)^(1/2))/(d*(a^2)^(1/2)))*(a^2)^(1/2))/(-d^2)^(1/2) - (2*b*exp(c + d*x))/(d*(exp(2*c + 2*d*x) + 1))","B"
6,1,43,24,1.049702,"\text{Not used}","int((a + b*tanh(c + d*x)^2)/sinh(c + d*x)^2,x)","-\frac{\frac{2\,\left(a-b\right)}{d}+\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a+b\right)}{d}}{{\mathrm{e}}^{4\,c+4\,d\,x}-1}","Not used",1,"-((2*(a - b))/d + (2*exp(2*c + 2*d*x)*(a + b))/d)/(exp(4*c + 4*d*x) - 1)","B"
7,1,156,51,1.132902,"\text{Not used}","int((a + b*tanh(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}-2\,b\,\sqrt{-d^2}\right)}{d\,\sqrt{a^2-4\,a\,b+4\,b^2}}\right)\,\sqrt{a^2-4\,a\,b+4\,b^2}}{\sqrt{-d^2}}-\frac{a\,{\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({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{2\,a\,{\mathrm{e}}^{c+d\,x}}{d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"(atan((exp(d*x)*exp(c)*(a*(-d^2)^(1/2) - 2*b*(-d^2)^(1/2)))/(d*(a^2 - 4*a*b + 4*b^2)^(1/2)))*(a^2 - 4*a*b + 4*b^2)^(1/2))/(-d^2)^(1/2) - (a*exp(c + d*x))/(d*(exp(2*c + 2*d*x) - 1)) + (2*b*exp(c + d*x))/(d*(exp(2*c + 2*d*x) + 1)) - (2*a*exp(c + d*x))/(d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1))","B"
8,1,173,44,1.096564,"\text{Not used}","int((a + b*tanh(c + d*x)^2)/sinh(c + d*x)^4,x)","\frac{2\,b}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{\frac{2\,\left(2\,a-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{\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-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}","Not used",1,"(2*b)/(d*(exp(2*c + 2*d*x) + 1)) - ((2*(2*a - 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)/(3*d) + (2*b*exp(4*c + 4*d*x))/(3*d) + (4*exp(2*c + 2*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)","B"
9,1,293,118,0.309016,"\text{Not used}","int(sinh(c + d*x)^4*(a + b*tanh(c + d*x)^2)^2,x)","\frac{\frac{4\,\left(b^2+a\,b\right)}{3\,d}+\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(2\,b^2+a\,b\right)}{3\,d}}{2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1}+x\,\left(\frac{3\,a^2}{8}+\frac{15\,a\,b}{4}+\frac{35\,b^2}{8}\right)+\frac{\frac{4\,\left(2\,b^2+a\,b\right)}{3\,d}+\frac{8\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(b^2+a\,b\right)}{3\,d}+\frac{4\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(2\,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{4\,\left(2\,b^2+a\,b\right)}{3\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}+\frac{{\mathrm{e}}^{-2\,c-2\,d\,x}\,\left(a^2+4\,a\,b+3\,b^2\right)}{8\,d}-\frac{{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a^2+4\,a\,b+3\,b^2\right)}{8\,d}-\frac{{\mathrm{e}}^{-4\,c-4\,d\,x}\,{\left(a+b\right)}^2}{64\,d}+\frac{{\mathrm{e}}^{4\,c+4\,d\,x}\,{\left(a+b\right)}^2}{64\,d}","Not used",1,"((4*(a*b + b^2))/(3*d) + (4*exp(2*c + 2*d*x)*(a*b + 2*b^2))/(3*d))/(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1) + x*((15*a*b)/4 + (3*a^2)/8 + (35*b^2)/8) + ((4*(a*b + 2*b^2))/(3*d) + (8*exp(2*c + 2*d*x)*(a*b + b^2))/(3*d) + (4*exp(4*c + 4*d*x)*(a*b + 2*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 + 2*b^2))/(3*d*(exp(2*c + 2*d*x) + 1)) + (exp(- 2*c - 2*d*x)*(4*a*b + a^2 + 3*b^2))/(8*d) - (exp(2*c + 2*d*x)*(4*a*b + a^2 + 3*b^2))/(8*d) - (exp(- 4*c - 4*d*x)*(a + b)^2)/(64*d) + (exp(4*c + 4*d*x)*(a + b)^2)/(64*d)","B"
10,1,215,77,0.287496,"\text{Not used}","int(sinh(c + d*x)^3*(a + b*tanh(c + d*x)^2)^2,x)","\frac{{\mathrm{e}}^{-3\,c-3\,d\,x}\,{\left(a+b\right)}^2}{24\,d}-\frac{{\mathrm{e}}^{c+d\,x}\,\left(3\,a^2+14\,a\,b+11\,b^2\right)}{8\,d}+\frac{{\mathrm{e}}^{3\,c+3\,d\,x}\,{\left(a+b\right)}^2}{24\,d}-\frac{{\mathrm{e}}^{-c-d\,x}\,\left(3\,a^2+14\,a\,b+11\,b^2\right)}{8\,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(3\,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(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}","Not used",1,"(exp(- 3*c - 3*d*x)*(a + b)^2)/(24*d) - (exp(c + d*x)*(14*a*b + 3*a^2 + 11*b^2))/(8*d) + (exp(3*c + 3*d*x)*(a + b)^2)/(24*d) - (exp(- c - d*x)*(14*a*b + 3*a^2 + 11*b^2))/(8*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 + 3*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"
11,1,248,79,1.176643,"\text{Not used}","int(sinh(c + d*x)^2*(a + b*tanh(c + d*x)^2)^2,x)","\frac{{\mathrm{e}}^{2\,c+2\,d\,x}\,{\left(a+b\right)}^2}{8\,d}-x\,\left(\frac{a^2}{2}+3\,a\,b+\frac{5\,b^2}{2}\right)-\frac{\frac{2\,\left(3\,b^2+2\,a\,b\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(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(3\,b^2+2\,a\,b\right)}{3\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{{\mathrm{e}}^{-2\,c-2\,d\,x}\,{\left(a+b\right)}^2}{8\,d}-\frac{\frac{2\,\left(b^2+2\,a\,b\right)}{3\,d}+\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(3\,b^2+2\,a\,b\right)}{3\,d}}{2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1}","Not used",1,"(exp(2*c + 2*d*x)*(a + b)^2)/(8*d) - x*(3*a*b + a^2/2 + (5*b^2)/2) - ((2*(2*a*b + 3*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 + 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 + 3*b^2))/(3*d*(exp(2*c + 2*d*x) + 1)) - (exp(- 2*c - 2*d*x)*(a + b)^2)/(8*d) - ((2*(2*a*b + b^2))/(3*d) + (2*exp(2*c + 2*d*x)*(2*a*b + 3*b^2))/(3*d))/(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1)","B"
12,1,154,49,0.191079,"\text{Not used}","int(sinh(c + d*x)*(a + b*tanh(c + d*x)^2)^2,x)","\frac{{\mathrm{e}}^{c+d\,x}\,{\left(a+b\right)}^2}{2\,d}+\frac{{\mathrm{e}}^{-c-d\,x}\,{\left(a+b\right)}^2}{2\,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{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,"(exp(c + d*x)*(a + b)^2)/(2*d) + (exp(- c - d*x)*(a + b)^2)/(2*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)) + (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"
13,1,160,51,0.154103,"\text{Not used}","int((a + b*tanh(c + d*x)^2)^2/sinh(c + d*x),x)","\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)}-\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(b^2+2\,a\,b\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{2\,\mathrm{atan}\left(\frac{a^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\sqrt{-d^2}}{d\,\sqrt{a^4}}\right)\,\sqrt{a^4}}{\sqrt{-d^2}}","Not used",1,"(8*b^2*exp(c + d*x))/(3*d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*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 + b^2))/(d*(exp(2*c + 2*d*x) + 1)) - (2*atan((a^2*exp(d*x)*exp(c)*(-d^2)^(1/2))/(d*(a^4)^(1/2)))*(a^4)^(1/2))/(-d^2)^(1/2)","B"
14,1,209,46,1.156899,"\text{Not used}","int((a + b*tanh(c + d*x)^2)^2/sinh(c + d*x)^2,x)","-\frac{\frac{2\,\left(2\,a\,b-b^2\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(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\,a^2}{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 - 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 - 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*a^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"
15,1,261,82,0.161527,"\text{Not used}","int((a + b*tanh(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}-4\,a\,b\,\sqrt{-d^2}\right)}{d\,\sqrt{a^4-8\,a^3\,b+16\,a^2\,b^2}}\right)\,\sqrt{a^4-8\,a^3\,b+16\,a^2\,b^2}}{\sqrt{-d^2}}+\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{a^2\,{\mathrm{e}}^{c+d\,x}}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{2\,a^2\,{\mathrm{e}}^{c+d\,x}}{d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\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)}+\frac{4\,a\,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^2*(-d^2)^(1/2) - 4*a*b*(-d^2)^(1/2)))/(d*(a^4 - 8*a^3*b + 16*a^2*b^2)^(1/2)))*(a^4 - 8*a^3*b + 16*a^2*b^2)^(1/2))/(-d^2)^(1/2) + (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)) - (a^2*exp(c + d*x))/(d*(exp(2*c + 2*d*x) - 1)) - (2*a^2*exp(c + d*x))/(d*(exp(4*c + 4*d*x) - 2*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)) + (4*a*b*exp(c + d*x))/(d*(exp(2*c + 2*d*x) + 1))","B"
16,1,143,72,1.079706,"\text{Not used}","int((a + b*tanh(c + d*x)^2)^2/sinh(c + d*x)^4,x)","-\frac{4\,\left(6\,a\,b-a^2-b^2+6\,a^2\,{\mathrm{e}}^{4\,c+4\,d\,x}+8\,a^2\,{\mathrm{e}}^{6\,c+6\,d\,x}+3\,a^2\,{\mathrm{e}}^{8\,c+8\,d\,x}+6\,b^2\,{\mathrm{e}}^{4\,c+4\,d\,x}-8\,b^2\,{\mathrm{e}}^{6\,c+6\,d\,x}+3\,b^2\,{\mathrm{e}}^{8\,c+8\,d\,x}-12\,a\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}+6\,a\,b\,{\mathrm{e}}^{8\,c+8\,d\,x}\right)}{3\,d\,{\left({\mathrm{e}}^{4\,c+4\,d\,x}-1\right)}^3}","Not used",1,"-(4*(6*a*b - a^2 - b^2 + 6*a^2*exp(4*c + 4*d*x) + 8*a^2*exp(6*c + 6*d*x) + 3*a^2*exp(8*c + 8*d*x) + 6*b^2*exp(4*c + 4*d*x) - 8*b^2*exp(6*c + 6*d*x) + 3*b^2*exp(8*c + 8*d*x) - 12*a*b*exp(4*c + 4*d*x) + 6*a*b*exp(8*c + 8*d*x)))/(3*d*(exp(4*c + 4*d*x) - 1)^3)","B"
17,1,730,182,1.389856,"\text{Not used}","int(sinh(c + d*x)^4*(a + b*tanh(c + d*x)^2)^3,x)","\frac{\frac{2\,\left(3\,a^2\,b+12\,a\,b^2+10\,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{12\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(3\,a^2\,b+8\,a\,b^2+6\,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{2\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(3\,a^2\,b+12\,a\,b^2+10\,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+9\,a\,b^2+5\,b^3\right)}{5\,d}+\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(3\,a^2\,b+12\,a\,b^2+10\,b^3\right)}{5\,d}}{2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1}+x\,\left(\frac{3\,a^3}{8}+\frac{45\,a^2\,b}{8}+\frac{105\,a\,b^2}{8}+\frac{63\,b^3}{8}\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(3\,a^2\,b+8\,a\,b^2+6\,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}}^{6\,c+6\,d\,x}\,\left(3\,a^2\,b+12\,a\,b^2+10\,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+8\,a\,b^2+6\,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}+\frac{2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(3\,a^2\,b+12\,a\,b^2+10\,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(3\,a^2\,b+12\,a\,b^2+10\,b^3\right)}{5\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{{\mathrm{e}}^{-4\,c-4\,d\,x}\,{\left(a+b\right)}^3}{64\,d}+\frac{{\mathrm{e}}^{4\,c+4\,d\,x}\,{\left(a+b\right)}^3}{64\,d}+\frac{{\mathrm{e}}^{-2\,c-2\,d\,x}\,{\left(a+b\right)}^2\,\left(a+4\,b\right)}{8\,d}-\frac{{\mathrm{e}}^{2\,c+2\,d\,x}\,{\left(a+b\right)}^2\,\left(a+4\,b\right)}{8\,d}","Not used",1,"((2*(12*a*b^2 + 3*a^2*b + 10*b^3))/(5*d) + (8*exp(2*c + 2*d*x)*(9*a*b^2 + 3*a^2*b + 5*b^3))/(5*d) + (12*exp(4*c + 4*d*x)*(8*a*b^2 + 3*a^2*b + 6*b^3))/(5*d) + (8*exp(6*c + 6*d*x)*(9*a*b^2 + 3*a^2*b + 5*b^3))/(5*d) + (2*exp(8*c + 8*d*x)*(12*a*b^2 + 3*a^2*b + 10*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*(9*a*b^2 + 3*a^2*b + 5*b^3))/(5*d) + (2*exp(2*c + 2*d*x)*(12*a*b^2 + 3*a^2*b + 10*b^3))/(5*d))/(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1) + x*((105*a*b^2)/8 + (45*a^2*b)/8 + (3*a^3)/8 + (63*b^3)/8) + ((2*(9*a*b^2 + 3*a^2*b + 5*b^3))/(5*d) + (6*exp(2*c + 2*d*x)*(8*a*b^2 + 3*a^2*b + 6*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(6*c + 6*d*x)*(12*a*b^2 + 3*a^2*b + 10*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*(8*a*b^2 + 3*a^2*b + 6*b^3))/(5*d) + (4*exp(2*c + 2*d*x)*(9*a*b^2 + 3*a^2*b + 5*b^3))/(5*d) + (2*exp(4*c + 4*d*x)*(12*a*b^2 + 3*a^2*b + 10*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*(12*a*b^2 + 3*a^2*b + 10*b^3))/(5*d*(exp(2*c + 2*d*x) + 1)) - (exp(- 4*c - 4*d*x)*(a + b)^3)/(64*d) + (exp(4*c + 4*d*x)*(a + b)^3)/(64*d) + (exp(- 2*c - 2*d*x)*(a + b)^2*(a + 4*b))/(8*d) - (exp(2*c + 2*d*x)*(a + b)^2*(a + 4*b))/(8*d)","B"
18,1,361,105,0.411898,"\text{Not used}","int(sinh(c + d*x)^3*(a + b*tanh(c + d*x)^2)^3,x)","\frac{{\mathrm{e}}^{-3\,c-3\,d\,x}\,{\left(a+b\right)}^3}{24\,d}+\frac{{\mathrm{e}}^{3\,c+3\,d\,x}\,{\left(a+b\right)}^3}{24\,d}+\frac{8\,{\mathrm{e}}^{c+d\,x}\,\left(4\,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{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(32\,b^3+15\,a\,b^2\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{3\,{\mathrm{e}}^{c+d\,x}\,{\left(a+b\right)}^2\,\left(a+5\,b\right)}{8\,d}-\frac{6\,{\mathrm{e}}^{c+d\,x}\,\left(a^2\,b+3\,a\,b^2+2\,b^3\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{3\,{\mathrm{e}}^{-c-d\,x}\,{\left(a+b\right)}^2\,\left(a+5\,b\right)}{8\,d}","Not used",1,"(exp(- 3*c - 3*d*x)*(a + b)^3)/(24*d) + (exp(3*c + 3*d*x)*(a + b)^3)/(24*d) + (8*exp(c + d*x)*(3*a*b^2 + 4*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 + 32*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)) - (3*exp(c + d*x)*(a + b)^2*(a + 5*b))/(8*d) - (6*exp(c + d*x)*(3*a*b^2 + a^2*b + 2*b^3))/(d*(exp(2*c + 2*d*x) + 1)) - (3*exp(- c - d*x)*(a + b)^2*(a + 5*b))/(8*d)","B"
19,1,668,122,0.315335,"\text{Not used}","int(sinh(c + d*x)^2*(a + b*tanh(c + d*x)^2)^3,x)","\frac{{\mathrm{e}}^{2\,c+2\,d\,x}\,{\left(a+b\right)}^3}{8\,d}-\frac{\frac{2\,\left(3\,a^2\,b+6\,a\,b^2+2\,b^3\right)}{5\,d}+\frac{6\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a^2\,b+3\,a\,b^2+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{6\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(a^2\,b+3\,a\,b^2+2\,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}+\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(9\,a^2\,b+15\,a\,b^2+10\,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(9\,a^2\,b+15\,a\,b^2+10\,b^3\right)}{15\,d}+\frac{6\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(a^2\,b+3\,a\,b^2+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{6\,\left(a^2\,b+3\,a\,b^2+2\,b^3\right)}{5\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{{\mathrm{e}}^{-2\,c-2\,d\,x}\,{\left(a+b\right)}^3}{8\,d}-\frac{\frac{6\,\left(a^2\,b+3\,a\,b^2+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{6\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(a^2\,b+3\,a\,b^2+2\,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}+\frac{4\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(9\,a^2\,b+15\,a\,b^2+10\,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{x\,{\left(a+b\right)}^2\,\left(a+7\,b\right)}{2}","Not used",1,"(exp(2*c + 2*d*x)*(a + b)^3)/(8*d) - ((2*(6*a*b^2 + 3*a^2*b + 2*b^3))/(5*d) + (6*exp(2*c + 2*d*x)*(3*a*b^2 + a^2*b + 2*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) + (6*exp(6*c + 6*d*x)*(3*a*b^2 + a^2*b + 2*b^3))/(5*d) + (6*exp(4*c + 4*d*x)*(6*a*b^2 + 3*a^2*b + 2*b^3))/(5*d) + (2*exp(2*c + 2*d*x)*(15*a*b^2 + 9*a^2*b + 10*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*(15*a*b^2 + 9*a^2*b + 10*b^3))/(15*d) + (6*exp(4*c + 4*d*x)*(3*a*b^2 + a^2*b + 2*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) - (6*(3*a*b^2 + a^2*b + 2*b^3))/(5*d*(exp(2*c + 2*d*x) + 1)) - (exp(- 2*c - 2*d*x)*(a + b)^3)/(8*d) - ((6*(3*a*b^2 + a^2*b + 2*b^3))/(5*d) + (8*exp(2*c + 2*d*x)*(6*a*b^2 + 3*a^2*b + 2*b^3))/(5*d) + (6*exp(8*c + 8*d*x)*(3*a*b^2 + a^2*b + 2*b^3))/(5*d) + (8*exp(6*c + 6*d*x)*(6*a*b^2 + 3*a^2*b + 2*b^3))/(5*d) + (4*exp(4*c + 4*d*x)*(15*a*b^2 + 9*a^2*b + 10*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) - (x*(a + b)^2*(a + 7*b))/2","B"
20,1,308,70,1.245073,"\text{Not used}","int(sinh(c + d*x)*(a + b*tanh(c + d*x)^2)^3,x)","\frac{{\mathrm{e}}^{c+d\,x}\,{\left(a+b\right)}^3}{2\,d}+\frac{{\mathrm{e}}^{-c-d\,x}\,{\left(a+b\right)}^3}{2\,d}+\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(9\,b^3+5\,a\,b^2\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{8\,{\mathrm{e}}^{c+d\,x}\,\left(b^3+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,"(exp(c + d*x)*(a + b)^3)/(2*d) + (exp(- c - d*x)*(a + b)^3)/(2*d) + (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)*(5*a*b^2 + 9*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)) - (8*exp(c + d*x)*(a*b^2 + b^3))/(d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1))","B"
21,1,317,84,0.246220,"\text{Not used}","int((a + b*tanh(c + d*x)^2)^3/sinh(c + d*x),x)","\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{2\,\mathrm{atan}\left(\frac{a^3\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\sqrt{-d^2}}{d\,\sqrt{a^6}}\right)\,\sqrt{a^6}}{\sqrt{-d^2}}-\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{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(22\,b^3+15\,a\,b^2\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)}","Not used",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)) - (2*atan((a^3*exp(d*x)*exp(c)*(-d^2)^(1/2))/(d*(a^6)^(1/2)))*(a^6)^(1/2))/(-d^2)^(1/2) - (2*exp(c + d*x)*(3*a*b^2 + 3*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 + 22*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))","B"
22,1,590,64,1.234984,"\text{Not used}","int((a + b*tanh(c + d*x)^2)^3/sinh(c + d*x)^2,x)","-\frac{\frac{2\,\left(3\,a^2\,b-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-a\,b^2+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-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}}^{2\,c+2\,d\,x}\,\left(3\,a^2\,b-a\,b^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}}^{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+3\,a\,b^2+b^3\right)}{5\,d}+\frac{12\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(3\,a^2\,b-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-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{2\,a^3}{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*(3*a^2*b - 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*(3*a^2*b - a*b^2 + 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)*(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(2*c + 2*d*x)*(3*a^2*b - a*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(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*b^2 + 3*a^2*b + b^3))/(5*d) + (12*exp(4*c + 4*d*x)*(3*a^2*b - a*b^2 + 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)*(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) - (2*a^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"
23,1,412,152,1.255571,"\text{Not used}","int((a + b*tanh(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}-6\,a^2\,b\,\sqrt{-d^2}\right)}{d\,\sqrt{a^6-12\,a^5\,b+36\,a^4\,b^2}}\right)\,\sqrt{a^6-12\,a^5\,b+36\,a^4\,b^2}}{\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(17\,b^3+15\,a\,b^2\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{a^3\,{\mathrm{e}}^{c+d\,x}}{d\,\left({\mathrm{e}}^{2\,c+2\,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)}-\frac{2\,a^3\,{\mathrm{e}}^{c+d\,x}}{d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,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)}","Not used",1,"(atan((exp(d*x)*exp(c)*(a^3*(-d^2)^(1/2) - 6*a^2*b*(-d^2)^(1/2)))/(d*(a^6 - 12*a^5*b + 36*a^4*b^2)^(1/2)))*(a^6 - 12*a^5*b + 36*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 + 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)) - (a^3*exp(c + d*x))/(d*(exp(2*c + 2*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)) - (2*a^3*exp(c + d*x))/(d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) + (6*a^2*b*exp(c + d*x))/(d*(exp(2*c + 2*d*x) + 1))","B"
24,1,622,98,0.278530,"\text{Not used}","int((a + b*tanh(c + d*x)^2)^3/sinh(c + d*x)^4,x)","\frac{\frac{2\,\left(9\,a^2\,b-12\,a\,b^2+4\,b^3\right)}{15\,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{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{2\,\left(-3\,a^2\,b+3\,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}}^{2\,c+2\,d\,x}\,\left(9\,a^2\,b-12\,a\,b^2+4\,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\,a^2\,b}{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{8\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(-3\,a^2\,b+3\,a\,b^2+b^3\right)}{5\,d}+\frac{4\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(9\,a^2\,b-12\,a\,b^2+4\,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{2\,\left(-3\,a^2\,b+3\,a\,b^2+b^3\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{4\,a^3}{d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{8\,a^3}{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{6\,a^2\,b}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}+\frac{6\,a^2\,b}{5\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"((2*(9*a^2*b - 12*a*b^2 + 4*b^3))/(15*d) - (4*exp(2*c + 2*d*x)*(3*a*b^2 - 3*a^2*b + b^3))/(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) - ((2*(3*a*b^2 - 3*a^2*b + 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(2*c + 2*d*x)*(9*a^2*b - 12*a*b^2 + 4*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^2*b)/(5*d) - (8*exp(6*c + 6*d*x)*(3*a*b^2 - 3*a^2*b + b^3))/(5*d) - (8*exp(2*c + 2*d*x)*(3*a*b^2 - 3*a^2*b + b^3))/(5*d) + (4*exp(4*c + 4*d*x)*(9*a^2*b - 12*a*b^2 + 4*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) - ((2*(3*a*b^2 - 3*a^2*b + b^3))/(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) - (4*a^3)/(d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) - (8*a^3)/(3*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)/(d*(exp(2*c + 2*d*x) - 1)) + (6*a^2*b)/(5*d*(exp(2*c + 2*d*x) + 1))","B"
25,1,250,118,1.677936,"\text{Not used}","int(sinh(c + d*x)^4/(a + b*tanh(c + d*x)^2),x)","\frac{{\mathrm{e}}^{4\,c+4\,d\,x}}{64\,d\,\left(a+b\right)}-\frac{{\mathrm{e}}^{-4\,c-4\,d\,x}}{64\,d\,\left(a+b\right)}-\frac{x\,\left(-3\,a^2+6\,a\,b+b^2\right)}{8\,{\left(a+b\right)}^3}+\frac{a\,{\mathrm{e}}^{-2\,c-2\,d\,x}}{8\,d\,{\left(a+b\right)}^2}-\frac{a\,{\mathrm{e}}^{2\,c+2\,d\,x}}{8\,d\,{\left(a+b\right)}^2}+\frac{{\left(-a\right)}^{3/2}\,\sqrt{b}\,\ln\left({\left(-a\right)}^{3/2}\,b^{3/2}\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)-2\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\left(-a\right)}^{5/2}\,\sqrt{b}\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\right)}{2\,d\,{\left(a+b\right)}^3}-\frac{{\left(-a\right)}^{3/2}\,\sqrt{b}\,\ln\left(2\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\left(-a\right)}^{3/2}\,b^{3/2}\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)+{\left(-a\right)}^{5/2}\,\sqrt{b}\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\right)}{2\,d\,{\left(a+b\right)}^3}","Not used",1,"exp(4*c + 4*d*x)/(64*d*(a + b)) - exp(- 4*c - 4*d*x)/(64*d*(a + b)) - (x*(6*a*b - 3*a^2 + b^2))/(8*(a + b)^3) + (a*exp(- 2*c - 2*d*x))/(8*d*(a + b)^2) - (a*exp(2*c + 2*d*x))/(8*d*(a + b)^2) + ((-a)^(3/2)*b^(1/2)*log((-a)^(3/2)*b^(3/2)*(exp(2*c + 2*d*x) - 1) - 2*a^2*b*exp(2*c + 2*d*x) + (-a)^(5/2)*b^(1/2)*(exp(2*c + 2*d*x) + 1)))/(2*d*(a + b)^3) - ((-a)^(3/2)*b^(1/2)*log(2*a^2*b*exp(2*c + 2*d*x) + (-a)^(3/2)*b^(3/2)*(exp(2*c + 2*d*x) - 1) + (-a)^(5/2)*b^(1/2)*(exp(2*c + 2*d*x) + 1)))/(2*d*(a + b)^3)","B"
26,1,955,75,2.654546,"\text{Not used}","int(sinh(c + d*x)^3/(a + b*tanh(c + d*x)^2),x)","\frac{{\mathrm{e}}^{-3\,c-3\,d\,x}}{24\,d\,\left(a+b\right)}+\frac{{\mathrm{e}}^{3\,c+3\,d\,x}}{24\,d\,\left(a+b\right)}-\frac{\sqrt{a^2\,b}\,\left(2\,\mathrm{atan}\left(\frac{\left({\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(\frac{4\,\left(2\,a^2\,b^3\,d\,\sqrt{a^2\,b}+4\,a^3\,b^2\,d\,\sqrt{a^2\,b}+2\,a^4\,b\,d\,\sqrt{a^2\,b}\right)}{a\,\left(a+b\right)\,\sqrt{-d^2\,{\left(a+b\right)}^5}\,\left(a^2+2\,a\,b+b^2\right)\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)\,\sqrt{-a^5\,d^2-5\,a^4\,b\,d^2-10\,a^3\,b^2\,d^2-10\,a^2\,b^3\,d^2-5\,a\,b^4\,d^2-b^5\,d^2}}+\frac{2\,a^3\,b}{d\,{\left(a+b\right)}^3\,\sqrt{a^2\,b}\,\left(a^2+2\,a\,b+b^2\right)\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)}\right)+\frac{2\,a^3\,b\,{\mathrm{e}}^{3\,c}\,{\mathrm{e}}^{3\,d\,x}}{d\,{\left(a+b\right)}^3\,\sqrt{a^2\,b}\,\left(a^2+2\,a\,b+b^2\right)\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)}\right)\,\left(a^6\,\sqrt{-a^5\,d^2-5\,a^4\,b\,d^2-10\,a^3\,b^2\,d^2-10\,a^2\,b^3\,d^2-5\,a\,b^4\,d^2-b^5\,d^2}+b^6\,\sqrt{-a^5\,d^2-5\,a^4\,b\,d^2-10\,a^3\,b^2\,d^2-10\,a^2\,b^3\,d^2-5\,a\,b^4\,d^2-b^5\,d^2}+15\,a^2\,b^4\,\sqrt{-a^5\,d^2-5\,a^4\,b\,d^2-10\,a^3\,b^2\,d^2-10\,a^2\,b^3\,d^2-5\,a\,b^4\,d^2-b^5\,d^2}+20\,a^3\,b^3\,\sqrt{-a^5\,d^2-5\,a^4\,b\,d^2-10\,a^3\,b^2\,d^2-10\,a^2\,b^3\,d^2-5\,a\,b^4\,d^2-b^5\,d^2}+15\,a^4\,b^2\,\sqrt{-a^5\,d^2-5\,a^4\,b\,d^2-10\,a^3\,b^2\,d^2-10\,a^2\,b^3\,d^2-5\,a\,b^4\,d^2-b^5\,d^2}+6\,a\,b^5\,\sqrt{-a^5\,d^2-5\,a^4\,b\,d^2-10\,a^3\,b^2\,d^2-10\,a^2\,b^3\,d^2-5\,a\,b^4\,d^2-b^5\,d^2}+6\,a^5\,b\,\sqrt{-a^5\,d^2-5\,a^4\,b\,d^2-10\,a^3\,b^2\,d^2-10\,a^2\,b^3\,d^2-5\,a\,b^4\,d^2-b^5\,d^2}\right)}{4\,a^2\,b}\right)-2\,\mathrm{atan}\left(\frac{a\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\sqrt{-d^2\,{\left(a+b\right)}^5}}{2\,d\,{\left(a+b\right)}^2\,\sqrt{a^2\,b}}\right)\right)}{2\,\sqrt{-a^5\,d^2-5\,a^4\,b\,d^2-10\,a^3\,b^2\,d^2-10\,a^2\,b^3\,d^2-5\,a\,b^4\,d^2-b^5\,d^2}}-\frac{{\mathrm{e}}^{-c-d\,x}\,\left(3\,a-b\right)}{8\,d\,{\left(a+b\right)}^2}-\frac{{\mathrm{e}}^{c+d\,x}\,\left(3\,a-b\right)}{8\,d\,{\left(a+b\right)}^2}","Not used",1,"exp(- 3*c - 3*d*x)/(24*d*(a + b)) + exp(3*c + 3*d*x)/(24*d*(a + b)) - ((a^2*b)^(1/2)*(2*atan(((exp(d*x)*exp(c)*((4*(2*a^2*b^3*d*(a^2*b)^(1/2) + 4*a^3*b^2*d*(a^2*b)^(1/2) + 2*a^4*b*d*(a^2*b)^(1/2)))/(a*(a + b)*(-d^2*(a + b)^5)^(1/2)*(2*a*b + a^2 + b^2)*(3*a*b^2 + 3*a^2*b + a^3 + b^3)*(- a^5*d^2 - b^5*d^2 - 5*a*b^4*d^2 - 5*a^4*b*d^2 - 10*a^2*b^3*d^2 - 10*a^3*b^2*d^2)^(1/2)) + (2*a^3*b)/(d*(a + b)^3*(a^2*b)^(1/2)*(2*a*b + a^2 + b^2)*(3*a*b^2 + 3*a^2*b + a^3 + b^3))) + (2*a^3*b*exp(3*c)*exp(3*d*x))/(d*(a + b)^3*(a^2*b)^(1/2)*(2*a*b + a^2 + b^2)*(3*a*b^2 + 3*a^2*b + a^3 + b^3)))*(a^6*(- a^5*d^2 - b^5*d^2 - 5*a*b^4*d^2 - 5*a^4*b*d^2 - 10*a^2*b^3*d^2 - 10*a^3*b^2*d^2)^(1/2) + b^6*(- a^5*d^2 - b^5*d^2 - 5*a*b^4*d^2 - 5*a^4*b*d^2 - 10*a^2*b^3*d^2 - 10*a^3*b^2*d^2)^(1/2) + 15*a^2*b^4*(- a^5*d^2 - b^5*d^2 - 5*a*b^4*d^2 - 5*a^4*b*d^2 - 10*a^2*b^3*d^2 - 10*a^3*b^2*d^2)^(1/2) + 20*a^3*b^3*(- a^5*d^2 - b^5*d^2 - 5*a*b^4*d^2 - 5*a^4*b*d^2 - 10*a^2*b^3*d^2 - 10*a^3*b^2*d^2)^(1/2) + 15*a^4*b^2*(- a^5*d^2 - b^5*d^2 - 5*a*b^4*d^2 - 5*a^4*b*d^2 - 10*a^2*b^3*d^2 - 10*a^3*b^2*d^2)^(1/2) + 6*a*b^5*(- a^5*d^2 - b^5*d^2 - 5*a*b^4*d^2 - 5*a^4*b*d^2 - 10*a^2*b^3*d^2 - 10*a^3*b^2*d^2)^(1/2) + 6*a^5*b*(- a^5*d^2 - b^5*d^2 - 5*a*b^4*d^2 - 5*a^4*b*d^2 - 10*a^2*b^3*d^2 - 10*a^3*b^2*d^2)^(1/2)))/(4*a^2*b)) - 2*atan((a*exp(d*x)*exp(c)*(-d^2*(a + b)^5)^(1/2))/(2*d*(a + b)^2*(a^2*b)^(1/2)))))/(2*(- a^5*d^2 - b^5*d^2 - 5*a*b^4*d^2 - 5*a^4*b*d^2 - 10*a^2*b^3*d^2 - 10*a^3*b^2*d^2)^(1/2)) - (exp(- c - d*x)*(3*a - b))/(8*d*(a + b)^2) - (exp(c + d*x)*(3*a - b))/(8*d*(a + b)^2)","B"
27,1,198,78,1.512381,"\text{Not used}","int(sinh(c + d*x)^2/(a + b*tanh(c + d*x)^2),x)","\frac{{\mathrm{e}}^{2\,c+2\,d\,x}}{8\,d\,\left(a+b\right)}-\frac{{\mathrm{e}}^{-2\,c-2\,d\,x}}{8\,d\,\left(a+b\right)}-\frac{x\,\left(a-b\right)}{2\,{\left(a+b\right)}^2}-\frac{\sqrt{-a}\,\sqrt{b}\,\ln\left(\sqrt{-a}\,b^{3/2}\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)+{\left(-a\right)}^{3/2}\,\sqrt{b}\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)-2\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{2\,d\,{\left(a+b\right)}^2}+\frac{\sqrt{-a}\,\sqrt{b}\,\ln\left(\sqrt{-a}\,b^{3/2}\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)+{\left(-a\right)}^{3/2}\,\sqrt{b}\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)+2\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{2\,d\,{\left(a+b\right)}^2}","Not used",1,"exp(2*c + 2*d*x)/(8*d*(a + b)) - exp(- 2*c - 2*d*x)/(8*d*(a + b)) - (x*(a - b))/(2*(a + b)^2) - ((-a)^(1/2)*b^(1/2)*log((-a)^(1/2)*b^(3/2)*(exp(2*c + 2*d*x) - 1) + (-a)^(3/2)*b^(1/2)*(exp(2*c + 2*d*x) + 1) - 2*a*b*exp(2*c + 2*d*x)))/(2*d*(a + b)^2) + ((-a)^(1/2)*b^(1/2)*log((-a)^(1/2)*b^(3/2)*(exp(2*c + 2*d*x) - 1) + (-a)^(3/2)*b^(1/2)*(exp(2*c + 2*d*x) + 1) + 2*a*b*exp(2*c + 2*d*x)))/(2*d*(a + b)^2)","B"
28,1,520,53,2.001849,"\text{Not used}","int(sinh(c + d*x)/(a + b*tanh(c + d*x)^2),x)","\frac{{\mathrm{e}}^{c+d\,x}}{2\,d\,\left(a+b\right)}+\frac{{\mathrm{e}}^{-c-d\,x}}{2\,d\,\left(a+b\right)}-\frac{\sqrt{b}\,\left(2\,\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\sqrt{-d^2\,{\left(a+b\right)}^3}}{2\,\sqrt{b}\,d\,\left(a+b\right)}\right)-2\,\mathrm{atan}\left(\frac{\left({\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(\frac{2\,a\,\sqrt{b}}{d\,{\left(a+b\right)}^2\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)}+\frac{4\,\left(2\,a^2\,b^{3/2}\,d+2\,a\,b^{5/2}\,d\right)}{\left(a+b\right)\,\sqrt{-d^2\,{\left(a+b\right)}^3}\,\sqrt{-a^3\,d^2-3\,a^2\,b\,d^2-3\,a\,b^2\,d^2-b^3\,d^2}\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)}\right)+\frac{2\,a\,\sqrt{b}\,{\mathrm{e}}^{3\,c}\,{\mathrm{e}}^{3\,d\,x}}{d\,{\left(a+b\right)}^2\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)}\right)\,\left(a^4\,\sqrt{-a^3\,d^2-3\,a^2\,b\,d^2-3\,a\,b^2\,d^2-b^3\,d^2}+b^4\,\sqrt{-a^3\,d^2-3\,a^2\,b\,d^2-3\,a\,b^2\,d^2-b^3\,d^2}+4\,a\,b^3\,\sqrt{-a^3\,d^2-3\,a^2\,b\,d^2-3\,a\,b^2\,d^2-b^3\,d^2}+4\,a^3\,b\,\sqrt{-a^3\,d^2-3\,a^2\,b\,d^2-3\,a\,b^2\,d^2-b^3\,d^2}+6\,a^2\,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\,a\,b}\right)\right)}{2\,\sqrt{-a^3\,d^2-3\,a^2\,b\,d^2-3\,a\,b^2\,d^2-b^3\,d^2}}","Not used",1,"exp(c + d*x)/(2*d*(a + b)) + exp(- c - d*x)/(2*d*(a + b)) - (b^(1/2)*(2*atan((exp(d*x)*exp(c)*(-d^2*(a + b)^3)^(1/2))/(2*b^(1/2)*d*(a + b))) - 2*atan(((exp(d*x)*exp(c)*((2*a*b^(1/2))/(d*(a + b)^2*(3*a*b^2 + 3*a^2*b + a^3 + b^3)) + (4*(2*a^2*b^(3/2)*d + 2*a*b^(5/2)*d))/((a + b)*(-d^2*(a + b)^3)^(1/2)*(- a^3*d^2 - b^3*d^2 - 3*a*b^2*d^2 - 3*a^2*b*d^2)^(1/2)*(3*a*b^2 + 3*a^2*b + a^3 + b^3))) + (2*a*b^(1/2)*exp(3*c)*exp(3*d*x))/(d*(a + b)^2*(3*a*b^2 + 3*a^2*b + a^3 + b^3)))*(a^4*(- a^3*d^2 - b^3*d^2 - 3*a*b^2*d^2 - 3*a^2*b*d^2)^(1/2) + b^4*(- a^3*d^2 - b^3*d^2 - 3*a*b^2*d^2 - 3*a^2*b*d^2)^(1/2) + 4*a*b^3*(- a^3*d^2 - b^3*d^2 - 3*a*b^2*d^2 - 3*a^2*b*d^2)^(1/2) + 4*a^3*b*(- a^3*d^2 - b^3*d^2 - 3*a*b^2*d^2 - 3*a^2*b*d^2)^(1/2) + 6*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*a*b))))/(2*(- a^3*d^2 - b^3*d^2 - 3*a*b^2*d^2 - 3*a^2*b*d^2)^(1/2))","B"
29,1,284,55,1.921158,"\text{Not used}","int(1/(sinh(c + d*x)*(a + b*tanh(c + d*x)^2)),x)","-\frac{2\,\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(9\,b^4\,\sqrt{-a^2\,d^2}+16\,a^2\,b^2\,\sqrt{-a^2\,d^2}+24\,a\,b^3\,\sqrt{-a^2\,d^2}\right)}{16\,d\,a^3\,b^2+24\,d\,a^2\,b^3+9\,d\,a\,b^4}\right)}{\sqrt{-a^2\,d^2}}-\frac{\sqrt{b}\,\left(2\,\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\sqrt{-a^3\,d^2-b\,a^2\,d^2}\,\sqrt{-a^2\,d^2\,\left(a+b\right)}+{\mathrm{e}}^{3\,c}\,{\mathrm{e}}^{3\,d\,x}\,\sqrt{-a^3\,d^2-b\,a^2\,d^2}\,\sqrt{-a^2\,d^2\,\left(a+b\right)}+4\,a^2\,b\,d^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c}{2\,a\,\sqrt{b}\,d\,\sqrt{-a^2\,d^2\,\left(a+b\right)}}\right)-2\,\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\sqrt{-a^2\,d^2\,\left(a+b\right)}}{2\,a\,\sqrt{b}\,d}\right)\right)}{2\,\sqrt{-a^3\,d^2-b\,a^2\,d^2}}","Not used",1,"- (2*atan((exp(d*x)*exp(c)*(9*b^4*(-a^2*d^2)^(1/2) + 16*a^2*b^2*(-a^2*d^2)^(1/2) + 24*a*b^3*(-a^2*d^2)^(1/2)))/(24*a^2*b^3*d + 16*a^3*b^2*d + 9*a*b^4*d)))/(-a^2*d^2)^(1/2) - (b^(1/2)*(2*atan((exp(d*x)*exp(c)*(- a^3*d^2 - a^2*b*d^2)^(1/2)*(-a^2*d^2*(a + b))^(1/2) + exp(3*c)*exp(3*d*x)*(- a^3*d^2 - a^2*b*d^2)^(1/2)*(-a^2*d^2*(a + b))^(1/2) + 4*a^2*b*d^2*exp(d*x)*exp(c))/(2*a*b^(1/2)*d*(-a^2*d^2*(a + b))^(1/2))) - 2*atan((exp(d*x)*exp(c)*(-a^2*d^2*(a + b))^(1/2))/(2*a*b^(1/2)*d))))/(2*(- a^3*d^2 - a^2*b*d^2)^(1/2))","B"
30,1,136,48,1.311083,"\text{Not used}","int(1/(sinh(c + d*x)^2*(a + b*tanh(c + d*x)^2)),x)","\frac{2}{a\,d-a\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}}-\frac{\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{a^3\,d^2}}{2\,a\,\sqrt{b}\,d}-\frac{\sqrt{b}\,\sqrt{a^3\,d^2}}{2\,a^2\,d}+\frac{{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\,\sqrt{a^3\,d^2}}{2\,a\,\sqrt{b}\,d}+\frac{\sqrt{b}\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\,\sqrt{a^3\,d^2}}{2\,a^2\,d}\right)}{\sqrt{a^3\,d^2}}","Not used",1,"2/(a*d - a*d*exp(2*c + 2*d*x)) - (b^(1/2)*atan((a^3*d^2)^(1/2)/(2*a*b^(1/2)*d) - (b^(1/2)*(a^3*d^2)^(1/2))/(2*a^2*d) + (exp(2*c)*exp(2*d*x)*(a^3*d^2)^(1/2))/(2*a*b^(1/2)*d) + (b^(1/2)*exp(2*c)*exp(2*d*x)*(a^3*d^2)^(1/2))/(2*a^2*d)))/(a^3*d^2)^(1/2)","B"
31,1,787,85,1.801640,"\text{Not used}","int(1/(sinh(c + d*x)^3*(a + b*tanh(c + d*x)^2)),x)","\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(18\,b^7\,\sqrt{-a^4\,d^2}+48\,a^2\,b^5\,\sqrt{-a^4\,d^2}+27\,a^3\,b^4\,\sqrt{-a^4\,d^2}+8\,a^4\,b^3\,\sqrt{-a^4\,d^2}+a^5\,b^2\,\sqrt{-a^4\,d^2}+45\,a\,b^6\,\sqrt{-a^4\,d^2}\right)}{9\,a^2\,b^6\,d\,\sqrt{a^2+4\,a\,b+4\,b^2}+18\,a^3\,b^5\,d\,\sqrt{a^2+4\,a\,b+4\,b^2}+15\,a^4\,b^4\,d\,\sqrt{a^2+4\,a\,b+4\,b^2}+6\,a^5\,b^3\,d\,\sqrt{a^2+4\,a\,b+4\,b^2}+a^6\,b^2\,d\,\sqrt{a^2+4\,a\,b+4\,b^2}}\right)\,\sqrt{a^2+4\,a\,b+4\,b^2}}{\sqrt{-a^4\,d^2}}-\frac{\left(2\,\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(a+b\right)\,\sqrt{-a^4\,d^2}}{2\,a^2\,d\,\sqrt{b\,\left(a+b\right)}}\right)+2\,\mathrm{atan}\left(\frac{\left({\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(\frac{64\,\left(2\,a^4\,b\,d\,\sqrt{b^2+a\,b}+6\,a^2\,b^3\,d\,\sqrt{b^2+a\,b}+6\,a^3\,b^2\,d\,\sqrt{b^2+a\,b}\right)}{a^9\,d^2\,{\left(a+b\right)}^2\,\left(a^2+2\,a\,b+b^2\right)}-\frac{32\,\left(3\,b^4\,\sqrt{-a^4\,d^2}+4\,a^2\,b^2\,\sqrt{-a^4\,d^2}+6\,a\,b^3\,\sqrt{-a^4\,d^2}+a^3\,b\,\sqrt{-a^4\,d^2}\right)}{a^7\,d\,\left(a+b\right)\,\sqrt{-a^4\,d^2}\,\sqrt{b\,\left(a+b\right)}\,\left(a^2+2\,a\,b+b^2\right)}\right)-\frac{32\,{\mathrm{e}}^{3\,c}\,{\mathrm{e}}^{3\,d\,x}\,\left(3\,b^4\,\sqrt{-a^4\,d^2}+4\,a^2\,b^2\,\sqrt{-a^4\,d^2}+6\,a\,b^3\,\sqrt{-a^4\,d^2}+a^3\,b\,\sqrt{-a^4\,d^2}\right)}{a^7\,d\,\left(a+b\right)\,\sqrt{-a^4\,d^2}\,\sqrt{b\,\left(a+b\right)}\,\left(a^2+2\,a\,b+b^2\right)}\right)\,\left(a^8\,\sqrt{-a^4\,d^2}+a^5\,b^3\,\sqrt{-a^4\,d^2}+3\,a^6\,b^2\,\sqrt{-a^4\,d^2}+3\,a^7\,b\,\sqrt{-a^4\,d^2}\right)}{64\,a^2\,b+192\,a\,b^2+192\,b^3}\right)\right)\,\sqrt{b^2+a\,b}}{2\,\sqrt{-a^4\,d^2}}-\frac{{\mathrm{e}}^{c+d\,x}}{a\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{2\,{\mathrm{e}}^{c+d\,x}}{a\,d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"(atan((exp(d*x)*exp(c)*(18*b^7*(-a^4*d^2)^(1/2) + 48*a^2*b^5*(-a^4*d^2)^(1/2) + 27*a^3*b^4*(-a^4*d^2)^(1/2) + 8*a^4*b^3*(-a^4*d^2)^(1/2) + a^5*b^2*(-a^4*d^2)^(1/2) + 45*a*b^6*(-a^4*d^2)^(1/2)))/(9*a^2*b^6*d*(4*a*b + a^2 + 4*b^2)^(1/2) + 18*a^3*b^5*d*(4*a*b + a^2 + 4*b^2)^(1/2) + 15*a^4*b^4*d*(4*a*b + a^2 + 4*b^2)^(1/2) + 6*a^5*b^3*d*(4*a*b + a^2 + 4*b^2)^(1/2) + a^6*b^2*d*(4*a*b + a^2 + 4*b^2)^(1/2)))*(4*a*b + a^2 + 4*b^2)^(1/2))/(-a^4*d^2)^(1/2) - ((2*atan((exp(d*x)*exp(c)*(a + b)*(-a^4*d^2)^(1/2))/(2*a^2*d*(b*(a + b))^(1/2))) + 2*atan(((exp(d*x)*exp(c)*((64*(2*a^4*b*d*(a*b + b^2)^(1/2) + 6*a^2*b^3*d*(a*b + b^2)^(1/2) + 6*a^3*b^2*d*(a*b + b^2)^(1/2)))/(a^9*d^2*(a + b)^2*(2*a*b + a^2 + b^2)) - (32*(3*b^4*(-a^4*d^2)^(1/2) + 4*a^2*b^2*(-a^4*d^2)^(1/2) + 6*a*b^3*(-a^4*d^2)^(1/2) + a^3*b*(-a^4*d^2)^(1/2)))/(a^7*d*(a + b)*(-a^4*d^2)^(1/2)*(b*(a + b))^(1/2)*(2*a*b + a^2 + b^2))) - (32*exp(3*c)*exp(3*d*x)*(3*b^4*(-a^4*d^2)^(1/2) + 4*a^2*b^2*(-a^4*d^2)^(1/2) + 6*a*b^3*(-a^4*d^2)^(1/2) + a^3*b*(-a^4*d^2)^(1/2)))/(a^7*d*(a + b)*(-a^4*d^2)^(1/2)*(b*(a + b))^(1/2)*(2*a*b + a^2 + b^2)))*(a^8*(-a^4*d^2)^(1/2) + a^5*b^3*(-a^4*d^2)^(1/2) + 3*a^6*b^2*(-a^4*d^2)^(1/2) + 3*a^7*b*(-a^4*d^2)^(1/2)))/(192*a*b^2 + 64*a^2*b + 192*b^3)))*(a*b + b^2)^(1/2))/(2*(-a^4*d^2)^(1/2)) - exp(c + d*x)/(a*d*(exp(2*c + 2*d*x) - 1)) - (2*exp(c + d*x))/(a*d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1))","B"
32,1,254,70,1.438613,"\text{Not used}","int(1/(sinh(c + d*x)^4*(a + b*tanh(c + d*x)^2)),x)","\frac{2\,b}{a^2\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{8}{3\,a\,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}{a\,d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}+\frac{\sqrt{-b}\,\ln\left(-\frac{4\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}}{a^2}-\frac{2\,\sqrt{-b}\,\left(a\,d+b\,d+a\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}-b\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^{5/2}\,d}\right)\,\left(a+b\right)}{2\,a^{5/2}\,d}-\frac{\sqrt{-b}\,\ln\left(\frac{2\,\sqrt{-b}\,\left(a\,d+b\,d+a\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}-b\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^{5/2}\,d}-\frac{4\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}}{a^2}\right)\,\left(a+b\right)}{2\,a^{5/2}\,d}","Not used",1,"(2*b)/(a^2*d*(exp(2*c + 2*d*x) - 1)) - 8/(3*a*d*(3*exp(2*c + 2*d*x) - 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) - 1)) - 4/(a*d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) + ((-b)^(1/2)*log(- (4*b*exp(2*c + 2*d*x))/a^2 - (2*(-b)^(1/2)*(a*d + b*d + a*d*exp(2*c + 2*d*x) - b*d*exp(2*c + 2*d*x)))/(a^(5/2)*d))*(a + b))/(2*a^(5/2)*d) - ((-b)^(1/2)*log((2*(-b)^(1/2)*(a*d + b*d + a*d*exp(2*c + 2*d*x) - b*d*exp(2*c + 2*d*x)))/(a^(5/2)*d) - (4*b*exp(2*c + 2*d*x))/a^2)*(a + b))/(2*a^(5/2)*d)","B"
33,0,-1,192,0.000000,"\text{Not used}","int(sinh(c + d*x)^4/(a + b*tanh(c + d*x)^2)^2,x)","\int \frac{{\mathrm{sinh}\left(c+d\,x\right)}^4}{{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(sinh(c + d*x)^4/(a + b*tanh(c + d*x)^2)^2, x)","F"
34,0,-1,124,0.000000,"\text{Not used}","int(sinh(c + d*x)^3/(a + b*tanh(c + d*x)^2)^2,x)","\int \frac{{\mathrm{sinh}\left(c+d\,x\right)}^3}{{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(sinh(c + d*x)^3/(a + b*tanh(c + d*x)^2)^2, x)","F"
35,0,-1,132,0.000000,"\text{Not used}","int(sinh(c + d*x)^2/(a + b*tanh(c + d*x)^2)^2,x)","\int \frac{{\mathrm{sinh}\left(c+d\,x\right)}^2}{{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(sinh(c + d*x)^2/(a + b*tanh(c + d*x)^2)^2, x)","F"
36,0,-1,92,0.000000,"\text{Not used}","int(sinh(c + d*x)/(a + b*tanh(c + d*x)^2)^2,x)","\int \frac{\mathrm{sinh}\left(c+d\,x\right)}{{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(sinh(c + d*x)/(a + b*tanh(c + d*x)^2)^2, x)","F"
37,0,-1,103,0.000000,"\text{Not used}","int(1/(sinh(c + d*x)*(a + b*tanh(c + d*x)^2)^2),x)","\int \frac{1}{\mathrm{sinh}\left(c+d\,x\right)\,{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(1/(sinh(c + d*x)*(a + b*tanh(c + d*x)^2)^2), x)","F"
38,0,-1,82,0.000000,"\text{Not used}","int(1/(sinh(c + d*x)^2*(a + b*tanh(c + d*x)^2)^2),x)","\int \frac{1}{{\mathrm{sinh}\left(c+d\,x\right)}^2\,{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(1/(sinh(c + d*x)^2*(a + b*tanh(c + d*x)^2)^2), x)","F"
39,0,-1,141,0.000000,"\text{Not used}","int(1/(sinh(c + d*x)^3*(a + b*tanh(c + d*x)^2)^2),x)","\int \frac{1}{{\mathrm{sinh}\left(c+d\,x\right)}^3\,{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(1/(sinh(c + d*x)^3*(a + b*tanh(c + d*x)^2)^2), x)","F"
40,0,-1,113,0.000000,"\text{Not used}","int(1/(sinh(c + d*x)^4*(a + b*tanh(c + d*x)^2)^2),x)","\int \frac{1}{{\mathrm{sinh}\left(c+d\,x\right)}^4\,{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(1/(sinh(c + d*x)^4*(a + b*tanh(c + d*x)^2)^2), x)","F"
41,0,-1,240,0.000000,"\text{Not used}","int(sinh(c + d*x)^4/(a + b*tanh(c + d*x)^2)^3,x)","\int \frac{{\mathrm{sinh}\left(c+d\,x\right)}^4}{{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(sinh(c + d*x)^4/(a + b*tanh(c + d*x)^2)^3, x)","F"
42,0,-1,166,0.000000,"\text{Not used}","int(sinh(c + d*x)^3/(a + b*tanh(c + d*x)^2)^3,x)","\int \frac{{\mathrm{sinh}\left(c+d\,x\right)}^3}{{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(sinh(c + d*x)^3/(a + b*tanh(c + d*x)^2)^3, x)","F"
43,0,-1,185,0.000000,"\text{Not used}","int(sinh(c + d*x)^2/(a + b*tanh(c + d*x)^2)^3,x)","\int \frac{{\mathrm{sinh}\left(c+d\,x\right)}^2}{{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(sinh(c + d*x)^2/(a + b*tanh(c + d*x)^2)^3, x)","F"
44,0,-1,126,0.000000,"\text{Not used}","int(sinh(c + d*x)/(a + b*tanh(c + d*x)^2)^3,x)","\int \frac{\mathrm{sinh}\left(c+d\,x\right)}{{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(sinh(c + d*x)/(a + b*tanh(c + d*x)^2)^3, x)","F"
45,0,-1,156,0.000000,"\text{Not used}","int(1/(sinh(c + d*x)*(a + b*tanh(c + d*x)^2)^3),x)","\int \frac{1}{\mathrm{sinh}\left(c+d\,x\right)\,{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(1/(sinh(c + d*x)*(a + b*tanh(c + d*x)^2)^3), x)","F"
46,0,-1,112,0.000000,"\text{Not used}","int(1/(sinh(c + d*x)^2*(a + b*tanh(c + d*x)^2)^3),x)","\int \frac{1}{{\mathrm{sinh}\left(c+d\,x\right)}^2\,{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(1/(sinh(c + d*x)^2*(a + b*tanh(c + d*x)^2)^3), x)","F"
47,0,-1,196,0.000000,"\text{Not used}","int(1/(sinh(c + d*x)^3*(a + b*tanh(c + d*x)^2)^3),x)","\int \frac{1}{{\mathrm{sinh}\left(c+d\,x\right)}^3\,{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(1/(sinh(c + d*x)^3*(a + b*tanh(c + d*x)^2)^3), x)","F"
48,0,-1,151,0.000000,"\text{Not used}","int(1/(sinh(c + d*x)^4*(a + b*tanh(c + d*x)^2)^3),x)","\int \frac{1}{{\mathrm{sinh}\left(c+d\,x\right)}^4\,{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(1/(sinh(c + d*x)^4*(a + b*tanh(c + d*x)^2)^3), x)","F"
49,1,156,132,0.268899,"\text{Not used}","int(sinh(c + d*x)^4*(a + b*tanh(c + d*x)^3),x)","x\,\left(\frac{3\,a}{8}-3\,b\right)+\frac{2\,b}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}+\frac{{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(a+b\right)}{64\,d}-\frac{2\,b}{d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}-\frac{{\mathrm{e}}^{-4\,c-4\,d\,x}\,\left(a-b\right)}{64\,d}+\frac{3\,b\,\ln\left({\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+1\right)}{d}+\frac{{\mathrm{e}}^{-2\,c-2\,d\,x}\,\left(2\,a-5\,b\right)}{16\,d}-\frac{{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(2\,a+5\,b\right)}{16\,d}","Not used",1,"x*((3*a)/8 - 3*b) + (2*b)/(d*(exp(2*c + 2*d*x) + 1)) + (exp(4*c + 4*d*x)*(a + b))/(64*d) - (2*b)/(d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1)) - (exp(- 4*c - 4*d*x)*(a - b))/(64*d) + (3*b*log(exp(2*c)*exp(2*d*x) + 1))/d + (exp(- 2*c - 2*d*x)*(2*a - 5*b))/(16*d) - (exp(2*c + 2*d*x)*(2*a + 5*b))/(16*d)","B"
50,1,171,98,0.228368,"\text{Not used}","int(sinh(c + d*x)^3*(a + b*tanh(c + d*x)^3),x)","\frac{{\mathrm{e}}^{3\,c+3\,d\,x}\,\left(a+b\right)}{24\,d}+\frac{5\,\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{{\mathrm{e}}^{-3\,c-3\,d\,x}\,\left(a-b\right)}{24\,d}-\frac{{\mathrm{e}}^{c+d\,x}\,\left(3\,a+9\,b\right)}{8\,d}-\frac{{\mathrm{e}}^{-c-d\,x}\,\left(3\,a-9\,b\right)}{8\,d}-\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,"(exp(3*c + 3*d*x)*(a + b))/(24*d) + (5*atan((b*exp(d*x)*exp(c)*(d^2)^(1/2))/(d*(b^2)^(1/2)))*(b^2)^(1/2))/(d^2)^(1/2) + (exp(- 3*c - 3*d*x)*(a - b))/(24*d) - (exp(c + d*x)*(3*a + 9*b))/(8*d) - (exp(- c - d*x)*(3*a - 9*b))/(8*d) - (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"
51,1,115,100,1.147091,"\text{Not used}","int(sinh(c + d*x)^2*(a + b*tanh(c + d*x)^3),x)","\frac{{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a+b\right)}{8\,d}-\frac{2\,b}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-x\,\left(\frac{a}{2}-2\,b\right)+\frac{2\,b}{d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}-\frac{{\mathrm{e}}^{-2\,c-2\,d\,x}\,\left(a-b\right)}{8\,d}-\frac{2\,b\,\ln\left({\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+1\right)}{d}","Not used",1,"(exp(2*c + 2*d*x)*(a + b))/(8*d) - (2*b)/(d*(exp(2*c + 2*d*x) + 1)) - x*(a/2 - 2*b) + (2*b)/(d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1)) - (exp(- 2*c - 2*d*x)*(a - b))/(8*d) - (2*b*log(exp(2*c)*exp(2*d*x) + 1))/d","B"
52,1,128,63,0.138720,"\text{Not used}","int(sinh(c + d*x)*(a + b*tanh(c + d*x)^3),x)","\frac{{\mathrm{e}}^{-c-d\,x}\,\left(a-b\right)}{2\,d}-\frac{3\,\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{{\mathrm{e}}^{c+d\,x}\,\left(a+b\right)}{2\,d}+\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,"(exp(- c - d*x)*(a - b))/(2*d) - (3*atan((b*exp(d*x)*exp(c)*(d^2)^(1/2))/(d*(b^2)^(1/2)))*(b^2)^(1/2))/(d^2)^(1/2) + (exp(c + d*x)*(a + b))/(2*d) + (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"
53,1,233,49,2.470635,"\text{Not used}","int((a + b*tanh(c + d*x)^3)/sinh(c + d*x),x)","\frac{2\,b\,{\mathrm{e}}^{c+d\,x}}{d+2\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}+d\,{\mathrm{e}}^{4\,c+4\,d\,x}}-\frac{a\,\ln\left(-8\,a\,b^2-32\,a^3-32\,a^3\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c-8\,a\,b^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\right)}{d}+\frac{a\,\ln\left(8\,a\,b^2+32\,a^3-32\,a^3\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c-8\,a\,b^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\right)}{d}-\frac{b\,\left(\ln\left(4\,b^3\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c+16\,a^2\,b\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c-a^2\,b\,16{}\mathrm{i}-b^3\,4{}\mathrm{i}\right)\,1{}\mathrm{i}-\ln\left(4\,b^3\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c+16\,a^2\,b\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c+a^2\,b\,16{}\mathrm{i}+b^3\,4{}\mathrm{i}\right)\,1{}\mathrm{i}\right)}{2\,d}-\frac{b\,{\mathrm{e}}^{c+d\,x}}{d+d\,{\mathrm{e}}^{2\,c+2\,d\,x}}","Not used",1,"(2*b*exp(c + d*x))/(d + 2*d*exp(2*c + 2*d*x) + d*exp(4*c + 4*d*x)) - (a*log(- 8*a*b^2 - 32*a^3 - 32*a^3*exp(d*x)*exp(c) - 8*a*b^2*exp(d*x)*exp(c)))/d + (a*log(8*a*b^2 + 32*a^3 - 32*a^3*exp(d*x)*exp(c) - 8*a*b^2*exp(d*x)*exp(c)))/d - (b*(log(4*b^3*exp(d*x)*exp(c) - b^3*4i - a^2*b*16i + 16*a^2*b*exp(d*x)*exp(c))*1i - log(a^2*b*16i + b^3*4i + 4*b^3*exp(d*x)*exp(c) + 16*a^2*b*exp(d*x)*exp(c))*1i))/(2*d) - (b*exp(c + d*x))/(d + d*exp(2*c + 2*d*x))","B"
54,1,79,29,0.165341,"\text{Not used}","int((a + b*tanh(c + d*x)^3)/sinh(c + d*x)^2,x)","-\frac{2\,\left(a+2\,a\,{\mathrm{e}}^{2\,c+2\,d\,x}+a\,{\mathrm{e}}^{4\,c+4\,d\,x}-b\,{\mathrm{e}}^{2\,c+2\,d\,x}+b\,{\mathrm{e}}^{4\,c+4\,d\,x}\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)\,{\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}^2}","Not used",1,"-(2*(a + 2*a*exp(2*c + 2*d*x) + a*exp(4*c + 4*d*x) - b*exp(2*c + 2*d*x) + b*exp(4*c + 4*d*x)))/(d*(exp(2*c + 2*d*x) - 1)*(exp(2*c + 2*d*x) + 1)^2)","B"
55,1,173,71,2.480849,"\text{Not used}","int((a + b*tanh(c + d*x)^3)/sinh(c + d*x)^3,x)","\frac{a\,\ln\left({\mathrm{e}}^{c+d\,x}+1\right)}{2\,d}-\frac{\frac{4\,{\mathrm{e}}^{3\,c+3\,d\,x}\,\left(a-b\right)}{d}+\frac{4\,{\mathrm{e}}^{c+d\,x}\,\left(a+b\right)}{d}}{{\mathrm{e}}^{8\,c+8\,d\,x}-2\,{\mathrm{e}}^{4\,c+4\,d\,x}+1}-\frac{a\,\ln\left({\mathrm{e}}^{c+d\,x}-1\right)}{2\,d}-\frac{\frac{{\mathrm{e}}^{3\,c+3\,d\,x}\,\left(a-b\right)}{d}+\frac{3\,{\mathrm{e}}^{c+d\,x}\,\left(a+b\right)}{d}}{{\mathrm{e}}^{4\,c+4\,d\,x}-1}-\frac{b\,\ln\left({\mathrm{e}}^{c+d\,x}-\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d}+\frac{b\,\ln\left({\mathrm{e}}^{c+d\,x}+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d}","Not used",1,"(a*log(exp(c + d*x) + 1))/(2*d) - ((4*exp(3*c + 3*d*x)*(a - b))/d + (4*exp(c + d*x)*(a + b))/d)/(exp(8*c + 8*d*x) - 2*exp(4*c + 4*d*x) + 1) - (a*log(exp(c + d*x) - 1))/(2*d) - ((exp(3*c + 3*d*x)*(a - b))/d + (3*exp(c + d*x)*(a + b))/d)/(exp(4*c + 4*d*x) - 1) - (b*log(exp(c + d*x) - 1i)*1i)/(2*d) + (b*log(exp(c + d*x) + 1i)*1i)/(2*d)","B"
56,1,162,56,1.235053,"\text{Not used}","int((a + b*tanh(c + d*x)^3)/sinh(c + d*x)^4,x)","\frac{2\,b}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{4\,a}{d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{2\,b}{d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}-\frac{8\,a}{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{b\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\,\sqrt{-d^2}}{d\,\sqrt{b^2}}\right)\,\sqrt{b^2}}{\sqrt{-d^2}}","Not used",1,"(2*b)/(d*(exp(2*c + 2*d*x) + 1)) - (4*a)/(d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) - (2*b)/(d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1)) - (8*a)/(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((b*exp(2*c)*exp(2*d*x)*(-d^2)^(1/2))/(d*(b^2)^(1/2)))*(b^2)^(1/2))/(-d^2)^(1/2)","B"
57,1,359,170,0.444086,"\text{Not used}","int(sinh(c + d*x)^4*(a + b*tanh(c + d*x)^3)^2,x)","x\,\left(\frac{3\,a^2}{8}-6\,a\,b+\frac{63\,b^2}{8}\right)+\frac{4\,\left(5\,b^2+a\,b\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}+\frac{{\mathrm{e}}^{-2\,c-2\,d\,x}\,\left(a^2-5\,a\,b+4\,b^2\right)}{8\,d}-\frac{{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a^2+5\,a\,b+4\,b^2\right)}{8\,d}+\frac{{\mathrm{e}}^{4\,c+4\,d\,x}\,{\left(a+b\right)}^2}{64\,d}-\frac{4\,\left(5\,b^2+a\,b\right)}{d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}+\frac{24\,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{{\mathrm{e}}^{-4\,c-4\,d\,x}\,{\left(a-b\right)}^2}{64\,d}-\frac{16\,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{32\,b^2}{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\,b\,\ln\left({\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+1\right)}{d}","Not used",1,"x*((3*a^2)/8 - 6*a*b + (63*b^2)/8) + (4*(a*b + 5*b^2))/(d*(exp(2*c + 2*d*x) + 1)) + (exp(- 2*c - 2*d*x)*(a^2 - 5*a*b + 4*b^2))/(8*d) - (exp(2*c + 2*d*x)*(5*a*b + a^2 + 4*b^2))/(8*d) + (exp(4*c + 4*d*x)*(a + b)^2)/(64*d) - (4*(a*b + 5*b^2))/(d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1)) + (24*b^2)/(d*(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1)) - (exp(- 4*c - 4*d*x)*(a - b)^2)/(64*d) - (16*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)/(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*log(exp(2*c)*exp(2*d*x) + 1))/d","B"
58,1,397,182,1.435614,"\text{Not used}","int(sinh(c + d*x)^3*(a + b*tanh(c + d*x)^3)^2,x)","\frac{{\mathrm{e}}^{3\,c+3\,d\,x}\,{\left(a+b\right)}^2}{24\,d}-\frac{{\mathrm{e}}^{c+d\,x}\,\left(3\,a^2+18\,a\,b+15\,b^2\right)}{8\,d}-\frac{{\mathrm{e}}^{-c-d\,x}\,\left(3\,a^2-18\,a\,b+15\,b^2\right)}{8\,d}+\frac{{\mathrm{e}}^{-3\,c-3\,d\,x}\,{\left(a-b\right)}^2}{24\,d}+\frac{10\,\mathrm{atan}\left(\frac{a\,b\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\sqrt{d^2}}{d\,\sqrt{a^2\,b^2}}\right)\,\sqrt{a^2\,b^2}}{\sqrt{d^2}}-\frac{256\,b^2\,{\mathrm{e}}^{c+d\,x}}{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{64\,b^2\,{\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{32\,b^2\,{\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{2\,{\mathrm{e}}^{c+d\,x}\,\left(6\,b^2+a\,b\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}+\frac{4\,{\mathrm{e}}^{c+d\,x}\,\left(8\,b^2+3\,a\,b\right)}{3\,d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}","Not used",1,"(exp(3*c + 3*d*x)*(a + b)^2)/(24*d) - (exp(c + d*x)*(18*a*b + 3*a^2 + 15*b^2))/(8*d) - (exp(- c - d*x)*(3*a^2 - 18*a*b + 15*b^2))/(8*d) + (exp(- 3*c - 3*d*x)*(a - b)^2)/(24*d) + (10*atan((a*b*exp(d*x)*exp(c)*(d^2)^(1/2))/(d*(a^2*b^2)^(1/2)))*(a^2*b^2)^(1/2))/(d^2)^(1/2) - (256*b^2*exp(c + d*x))/(15*d*(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1)) + (64*b^2*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)) - (32*b^2*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)) - (2*exp(c + d*x)*(a*b + 6*b^2))/(d*(exp(2*c + 2*d*x) + 1)) + (4*exp(c + d*x)*(3*a*b + 8*b^2))/(3*d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1))","B"
59,1,306,129,1.360157,"\text{Not used}","int(sinh(c + d*x)^2*(a + b*tanh(c + d*x)^3)^2,x)","\frac{{\mathrm{e}}^{2\,c+2\,d\,x}\,{\left(a+b\right)}^2}{8\,d}-\frac{4\,\left(3\,b^2+a\,b\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-x\,\left(\frac{a^2}{2}-4\,a\,b+\frac{7\,b^2}{2}\right)+\frac{4\,\left(4\,b^2+a\,b\right)}{d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}-\frac{64\,b^2}{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{{\mathrm{e}}^{-2\,c-2\,d\,x}\,{\left(a-b\right)}^2}{8\,d}+\frac{16\,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{32\,b^2}{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{4\,a\,b\,\ln\left({\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+1\right)}{d}","Not used",1,"(exp(2*c + 2*d*x)*(a + b)^2)/(8*d) - (4*(a*b + 3*b^2))/(d*(exp(2*c + 2*d*x) + 1)) - x*(a^2/2 - 4*a*b + (7*b^2)/2) + (4*(a*b + 4*b^2))/(d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1)) - (64*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)) - (exp(- 2*c - 2*d*x)*(a - b)^2)/(8*d) + (16*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)/(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)) - (4*a*b*log(exp(2*c)*exp(2*d*x) + 1))/d","B"
60,1,338,123,1.290460,"\text{Not used}","int(sinh(c + d*x)*(a + b*tanh(c + d*x)^3)^2,x)","\frac{{\mathrm{e}}^{c+d\,x}\,{\left(a+b\right)}^2}{2\,d}+\frac{{\mathrm{e}}^{-c-d\,x}\,{\left(a-b\right)}^2}{2\,d}-\frac{6\,\mathrm{atan}\left(\frac{a\,b\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\sqrt{d^2}}{d\,\sqrt{a^2\,b^2}}\right)\,\sqrt{a^2\,b^2}}{\sqrt{d^2}}+\frac{72\,b^2\,{\mathrm{e}}^{c+d\,x}}{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{64\,b^2\,{\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{32\,b^2\,{\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{2\,{\mathrm{e}}^{c+d\,x}\,\left(3\,b^2+a\,b\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{4\,{\mathrm{e}}^{c+d\,x}\,\left(2\,b^2+a\,b\right)}{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)*(a + b)^2)/(2*d) + (exp(- c - d*x)*(a - b)^2)/(2*d) - (6*atan((a*b*exp(d*x)*exp(c)*(d^2)^(1/2))/(d*(a^2*b^2)^(1/2)))*(a^2*b^2)^(1/2))/(d^2)^(1/2) + (72*b^2*exp(c + 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)) - (64*b^2*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)) + (32*b^2*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)) + (2*exp(c + d*x)*(a*b + 3*b^2))/(d*(exp(2*c + 2*d*x) + 1)) - (4*exp(c + d*x)*(a*b + 2*b^2))/(d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1))","B"
61,1,522,98,3.282549,"\text{Not used}","int((a + b*tanh(c + d*x)^3)^2/sinh(c + d*x),x)","\frac{a^2\,\ln\left(32\,a^6+32\,a^4\,b^2-32\,a^6\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c-32\,a^4\,b^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\right)}{d}-\frac{176\,b^2\,{\mathrm{e}}^{c+d\,x}}{15\,\left(d+3\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,d\,{\mathrm{e}}^{4\,c+4\,d\,x}+d\,{\mathrm{e}}^{6\,c+6\,d\,x}\right)}-\frac{32\,b^2\,{\mathrm{e}}^{c+d\,x}}{5\,\left(d+5\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}+10\,d\,{\mathrm{e}}^{4\,c+4\,d\,x}+10\,d\,{\mathrm{e}}^{6\,c+6\,d\,x}+5\,d\,{\mathrm{e}}^{8\,c+8\,d\,x}+d\,{\mathrm{e}}^{10\,c+10\,d\,x}\right)}-\frac{a^2\,\ln\left(-32\,a^6-32\,a^4\,b^2-32\,a^6\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c-32\,a^4\,b^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\right)}{d}-\frac{2\,b^2\,{\mathrm{e}}^{c+d\,x}}{d+d\,{\mathrm{e}}^{2\,c+2\,d\,x}}+\frac{16\,b^2\,{\mathrm{e}}^{c+d\,x}}{3\,\left(d+2\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}+d\,{\mathrm{e}}^{4\,c+4\,d\,x}\right)}+\frac{64\,b^2\,{\mathrm{e}}^{c+d\,x}}{5\,\left(d+4\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,d\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,d\,{\mathrm{e}}^{6\,c+6\,d\,x}+d\,{\mathrm{e}}^{8\,c+8\,d\,x}\right)}-\frac{2\,a\,b\,{\mathrm{e}}^{c+d\,x}}{d+d\,{\mathrm{e}}^{2\,c+2\,d\,x}}+\frac{4\,a\,b\,{\mathrm{e}}^{c+d\,x}}{d+2\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}+d\,{\mathrm{e}}^{4\,c+4\,d\,x}}-\frac{a\,b\,\left(\ln\left(32\,a^3\,b^3\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c+32\,a^5\,b\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c-a^5\,b\,32{}\mathrm{i}-a^3\,b^3\,32{}\mathrm{i}\right)\,1{}\mathrm{i}-\ln\left(32\,a^3\,b^3\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c+32\,a^5\,b\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c+a^5\,b\,32{}\mathrm{i}+a^3\,b^3\,32{}\mathrm{i}\right)\,1{}\mathrm{i}\right)}{d}","Not used",1,"(a^2*log(32*a^6 + 32*a^4*b^2 - 32*a^6*exp(d*x)*exp(c) - 32*a^4*b^2*exp(d*x)*exp(c)))/d - (176*b^2*exp(c + d*x))/(15*(d + 3*d*exp(2*c + 2*d*x) + 3*d*exp(4*c + 4*d*x) + d*exp(6*c + 6*d*x))) - (32*b^2*exp(c + d*x))/(5*(d + 5*d*exp(2*c + 2*d*x) + 10*d*exp(4*c + 4*d*x) + 10*d*exp(6*c + 6*d*x) + 5*d*exp(8*c + 8*d*x) + d*exp(10*c + 10*d*x))) - (a^2*log(- 32*a^6 - 32*a^4*b^2 - 32*a^6*exp(d*x)*exp(c) - 32*a^4*b^2*exp(d*x)*exp(c)))/d - (2*b^2*exp(c + d*x))/(d + d*exp(2*c + 2*d*x)) + (16*b^2*exp(c + d*x))/(3*(d + 2*d*exp(2*c + 2*d*x) + d*exp(4*c + 4*d*x))) + (64*b^2*exp(c + d*x))/(5*(d + 4*d*exp(2*c + 2*d*x) + 6*d*exp(4*c + 4*d*x) + 4*d*exp(6*c + 6*d*x) + d*exp(8*c + 8*d*x))) - (2*a*b*exp(c + d*x))/(d + d*exp(2*c + 2*d*x)) + (4*a*b*exp(c + d*x))/(d + 2*d*exp(2*c + 2*d*x) + d*exp(4*c + 4*d*x)) - (a*b*(log(32*a^3*b^3*exp(d*x)*exp(c) - a^3*b^3*32i - a^5*b*32i + 32*a^5*b*exp(d*x)*exp(c))*1i - log(a^5*b*32i + a^3*b^3*32i + 32*a^3*b^3*exp(d*x)*exp(c) + 32*a^5*b*exp(d*x)*exp(c))*1i))/d","B"
62,1,483,47,1.263546,"\text{Not used}","int((a + b*tanh(c + d*x)^3)^2/sinh(c + d*x)^2,x)","-\frac{\frac{2\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(b^2+2\,a\,b\right)}{5\,d}-\frac{8\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(b^2+a\,b\right)}{5\,d}-\frac{2\,\left(2\,a\,b-b^2\right)}{5\,d}+\frac{8\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(a\,b-b^2\right)}{5\,d}+\frac{12\,b^2\,{\mathrm{e}}^{4\,c+4\,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{2\,b^2}{5\,d}+\frac{2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(b^2+2\,a\,b\right)}{5\,d}+\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a\,b-b^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\,b-b^2\right)}{5\,d}+\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(b^2+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\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(b^2+2\,a\,b\right)}{5\,d}-\frac{2\,\left(b^2+a\,b\right)}{5\,d}+\frac{6\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(a\,b-b^2\right)}{5\,d}+\frac{6\,b^2\,{\mathrm{e}}^{2\,c+2\,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{2\,a^2}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{2\,\left(b^2+2\,a\,b\right)}{5\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"- ((2*exp(8*c + 8*d*x)*(2*a*b + b^2))/(5*d) - (8*exp(2*c + 2*d*x)*(a*b + b^2))/(5*d) - (2*(2*a*b - b^2))/(5*d) + (8*exp(6*c + 6*d*x)*(a*b - b^2))/(5*d) + (12*b^2*exp(4*c + 4*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) - ((2*b^2)/(5*d) + (2*exp(4*c + 4*d*x)*(2*a*b + b^2))/(5*d) + (4*exp(2*c + 2*d*x)*(a*b - b^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*b - b^2))/(5*d) + (2*exp(2*c + 2*d*x)*(2*a*b + b^2))/(5*d))/(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1) - ((2*exp(6*c + 6*d*x)*(2*a*b + b^2))/(5*d) - (2*(a*b + b^2))/(5*d) + (6*exp(4*c + 4*d*x)*(a*b - b^2))/(5*d) + (6*b^2*exp(2*c + 2*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) - (2*a^2)/(d*(exp(2*c + 2*d*x) - 1)) - (2*(2*a*b + b^2))/(5*d*(exp(2*c + 2*d*x) + 1))","B"
63,1,561,107,2.896115,"\text{Not used}","int((a + b*tanh(c + d*x)^3)^2/sinh(c + d*x)^3,x)","\frac{a^2\,{\mathrm{e}}^{c+d\,x}}{d-d\,{\mathrm{e}}^{2\,c+2\,d\,x}}+\frac{136\,b^2\,{\mathrm{e}}^{c+d\,x}}{15\,\left(d+3\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,d\,{\mathrm{e}}^{4\,c+4\,d\,x}+d\,{\mathrm{e}}^{6\,c+6\,d\,x}\right)}+\frac{32\,b^2\,{\mathrm{e}}^{c+d\,x}}{5\,\left(d+5\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}+10\,d\,{\mathrm{e}}^{4\,c+4\,d\,x}+10\,d\,{\mathrm{e}}^{6\,c+6\,d\,x}+5\,d\,{\mathrm{e}}^{8\,c+8\,d\,x}+d\,{\mathrm{e}}^{10\,c+10\,d\,x}\right)}-\frac{a^2\,\ln\left(4\,a^6\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c-16\,a^4\,b^2-4\,a^6+16\,a^4\,b^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\right)}{2\,d}+\frac{a^2\,\ln\left(4\,a^6+16\,a^4\,b^2+4\,a^6\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c+16\,a^4\,b^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\right)}{2\,d}-\frac{2\,a^2\,{\mathrm{e}}^{c+d\,x}}{d-2\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}+d\,{\mathrm{e}}^{4\,c+4\,d\,x}}-\frac{8\,b^2\,{\mathrm{e}}^{c+d\,x}}{3\,\left(d+2\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}+d\,{\mathrm{e}}^{4\,c+4\,d\,x}\right)}-\frac{64\,b^2\,{\mathrm{e}}^{c+d\,x}}{5\,\left(d+4\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,d\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,d\,{\mathrm{e}}^{6\,c+6\,d\,x}+d\,{\mathrm{e}}^{8\,c+8\,d\,x}\right)}+\frac{2\,a\,b\,{\mathrm{e}}^{c+d\,x}}{d+d\,{\mathrm{e}}^{2\,c+2\,d\,x}}-\frac{4\,a\,b\,{\mathrm{e}}^{c+d\,x}}{d+2\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}+d\,{\mathrm{e}}^{4\,c+4\,d\,x}}-\frac{a\,b\,\left(\ln\left(32\,a^3\,b^3\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c+8\,a^5\,b\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c-a^5\,b\,8{}\mathrm{i}-a^3\,b^3\,32{}\mathrm{i}\right)\,1{}\mathrm{i}-\ln\left(32\,a^3\,b^3\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c+8\,a^5\,b\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c+a^5\,b\,8{}\mathrm{i}+a^3\,b^3\,32{}\mathrm{i}\right)\,1{}\mathrm{i}\right)}{d}","Not used",1,"(a^2*exp(c + d*x))/(d - d*exp(2*c + 2*d*x)) + (136*b^2*exp(c + d*x))/(15*(d + 3*d*exp(2*c + 2*d*x) + 3*d*exp(4*c + 4*d*x) + d*exp(6*c + 6*d*x))) + (32*b^2*exp(c + d*x))/(5*(d + 5*d*exp(2*c + 2*d*x) + 10*d*exp(4*c + 4*d*x) + 10*d*exp(6*c + 6*d*x) + 5*d*exp(8*c + 8*d*x) + d*exp(10*c + 10*d*x))) - (a^2*log(4*a^6*exp(d*x)*exp(c) - 16*a^4*b^2 - 4*a^6 + 16*a^4*b^2*exp(d*x)*exp(c)))/(2*d) + (a^2*log(4*a^6 + 16*a^4*b^2 + 4*a^6*exp(d*x)*exp(c) + 16*a^4*b^2*exp(d*x)*exp(c)))/(2*d) - (2*a^2*exp(c + d*x))/(d - 2*d*exp(2*c + 2*d*x) + d*exp(4*c + 4*d*x)) - (8*b^2*exp(c + d*x))/(3*(d + 2*d*exp(2*c + 2*d*x) + d*exp(4*c + 4*d*x))) - (64*b^2*exp(c + d*x))/(5*(d + 4*d*exp(2*c + 2*d*x) + 6*d*exp(4*c + 4*d*x) + 4*d*exp(6*c + 6*d*x) + d*exp(8*c + 8*d*x))) + (2*a*b*exp(c + d*x))/(d + d*exp(2*c + 2*d*x)) - (4*a*b*exp(c + d*x))/(d + 2*d*exp(2*c + 2*d*x) + d*exp(4*c + 4*d*x)) - (a*b*(log(32*a^3*b^3*exp(d*x)*exp(c) - a^3*b^3*32i - a^5*b*8i + 8*a^5*b*exp(d*x)*exp(c))*1i - log(a^5*b*8i + a^3*b^3*32i + 32*a^3*b^3*exp(d*x)*exp(c) + 8*a^5*b*exp(d*x)*exp(c))*1i))/d","B"
64,1,344,97,0.261054,"\text{Not used}","int((a + b*tanh(c + d*x)^3)^2/sinh(c + d*x)^4,x)","\frac{40\,b^2}{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\,a^2}{d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{8\,a^2}{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(b^2+a\,b\right)}{d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}-\frac{16\,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{32\,b^2}{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{4\,\mathrm{atan}\left(\frac{a\,b\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\,\sqrt{-d^2}}{d\,\sqrt{a^2\,b^2}}\right)\,\sqrt{a^2\,b^2}}{\sqrt{-d^2}}+\frac{4\,a\,b}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"(40*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^2)/(d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) - (8*a^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))/(d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1)) - (16*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)/(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)) - (4*atan((a*b*exp(2*c)*exp(2*d*x)*(-d^2)^(1/2))/(d*(a^2*b^2)^(1/2)))*(a^2*b^2)^(1/2))/(-d^2)^(1/2) + (4*a*b)/(d*(exp(2*c + 2*d*x) + 1))","B"
65,1,682,275,1.703139,"\text{Not used}","int(sinh(c + d*x)^4*(a + b*tanh(c + d*x)^3)^3,x)","x\,\left(\frac{3\,a^3}{8}-9\,a^2\,b+\frac{189\,a\,b^2}{8}-15\,b^3\right)-\frac{4\,\left(71\,b^3+12\,a\,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{256\,b^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{\ln\left({\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+1\right)\,\left(9\,a^2\,b+15\,b^3\right)}{d}+\frac{2\,\left(3\,a^2\,b+30\,a\,b^2+20\,b^3\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}+\frac{32\,\left(50\,b^3+3\,a\,b^2\right)}{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{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{2\,\left(3\,a^2\,b+30\,a\,b^2+50\,b^3\right)}{d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,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{{\mathrm{e}}^{4\,c+4\,d\,x}\,{\left(a+b\right)}^3}{64\,d}-\frac{{\mathrm{e}}^{-4\,c-4\,d\,x}\,{\left(a-b\right)}^3}{64\,d}+\frac{8\,\left(23\,b^3+9\,a\,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)}-\frac{{\mathrm{e}}^{2\,c+2\,d\,x}\,{\left(a+b\right)}^2\,\left(2\,a+11\,b\right)}{16\,d}+\frac{{\mathrm{e}}^{-2\,c-2\,d\,x}\,{\left(a-b\right)}^2\,\left(2\,a-11\,b\right)}{16\,d}","Not used",1,"x*((189*a*b^2)/8 - 9*a^2*b + (3*a^3)/8 - 15*b^3) - (4*(12*a*b^2 + 71*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)) - (256*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)) + (log(exp(2*c)*exp(2*d*x) + 1)*(9*a^2*b + 15*b^3))/d + (2*(30*a*b^2 + 3*a^2*b + 20*b^3))/(d*(exp(2*c + 2*d*x) + 1)) + (32*(3*a*b^2 + 50*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)) + (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)) - (2*(30*a*b^2 + 3*a^2*b + 50*b^3))/(d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*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)) + (exp(4*c + 4*d*x)*(a + b)^3)/(64*d) - (exp(- 4*c - 4*d*x)*(a - b)^3)/(64*d) + (8*(9*a*b^2 + 23*b^3))/(d*(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1)) - (exp(2*c + 2*d*x)*(a + b)^2*(2*a + 11*b))/(16*d) + (exp(- 2*c - 2*d*x)*(a - b)^2*(2*a - 11*b))/(16*d)","B"
66,1,757,351,1.598248,"\text{Not used}","int(sinh(c + d*x)^3*(a + b*tanh(c + d*x)^3)^3,x)","\frac{{\mathrm{e}}^{3\,c+3\,d\,x}\,{\left(a+b\right)}^3}{24\,d}+\frac{{\mathrm{e}}^{-3\,c-3\,d\,x}\,{\left(a-b\right)}^3}{24\,d}+\frac{15\,\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(77\,b^3\,\sqrt{d^2}+64\,a^2\,b\,\sqrt{d^2}\right)}{d\,\sqrt{4096\,a^4\,b^2+9856\,a^2\,b^4+5929\,b^6}}\right)\,\sqrt{4096\,a^4\,b^2+9856\,a^2\,b^4+5929\,b^6}}{64\,\sqrt{d^2}}-\frac{3\,{\mathrm{e}}^{-c-d\,x}\,{\left(a-b\right)}^2\,\left(a-7\,b\right)}{8\,d}-\frac{{\mathrm{e}}^{c+d\,x}\,\left(11005\,b^3+6144\,a\,b^2\right)}{120\,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(3365\,b^3+768\,a\,b^2\right)}{20\,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{596\,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{3\,{\mathrm{e}}^{c+d\,x}\,{\left(a+b\right)}^2\,\left(a+7\,b\right)}{8\,d}-\frac{3\,{\mathrm{e}}^{c+d\,x}\,\left(64\,a^2\,b+768\,a\,b^2+255\,b^3\right)}{64\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{2\,{\mathrm{e}}^{c+d\,x}\,\left(1625\,b^3+144\,a\,b^2\right)}{15\,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{112\,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(576\,a^2\,b+3072\,a\,b^2+4355\,b^3\right)}{96\,d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}+\frac{32\,b^3\,{\mathrm{e}}^{c+d\,x}}{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)}","Not used",1,"(exp(3*c + 3*d*x)*(a + b)^3)/(24*d) + (exp(- 3*c - 3*d*x)*(a - b)^3)/(24*d) + (15*atan((exp(d*x)*exp(c)*(77*b^3*(d^2)^(1/2) + 64*a^2*b*(d^2)^(1/2)))/(d*(5929*b^6 + 9856*a^2*b^4 + 4096*a^4*b^2)^(1/2)))*(5929*b^6 + 9856*a^2*b^4 + 4096*a^4*b^2)^(1/2))/(64*(d^2)^(1/2)) - (3*exp(- c - d*x)*(a - b)^2*(a - 7*b))/(8*d) - (exp(c + d*x)*(6144*a*b^2 + 11005*b^3))/(120*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)*(768*a*b^2 + 3365*b^3))/(20*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)) + (596*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)) - (3*exp(c + d*x)*(a + b)^2*(a + 7*b))/(8*d) - (3*exp(c + d*x)*(768*a*b^2 + 64*a^2*b + 255*b^3))/(64*d*(exp(2*c + 2*d*x) + 1)) - (2*exp(c + d*x)*(144*a*b^2 + 1625*b^3))/(15*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)) - (112*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)*(3072*a*b^2 + 576*a^2*b + 4355*b^3))/(96*d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1)) + (32*b^3*exp(c + d*x))/(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))","B"
67,1,617,220,0.555716,"\text{Not used}","int(sinh(c + d*x)^2*(a + b*tanh(c + d*x)^3)^3,x)","\frac{8\,\left(29\,b^3+6\,a\,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{736\,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{\ln\left({\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+1\right)\,\left(6\,a^2\,b+5\,b^3\right)}{d}-\frac{2\,\left(3\,a^2\,b+18\,a\,b^2+10\,b^3\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{96\,\left(15\,b^3+a\,b^2\right)}{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{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{x\,{\left(a-b\right)}^2\,\left(a-10\,b\right)}{2}+\frac{6\,\left(a^2\,b+8\,a\,b^2+10\,b^3\right)}{d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,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{{\mathrm{e}}^{2\,c+2\,d\,x}\,{\left(a+b\right)}^3}{8\,d}-\frac{{\mathrm{e}}^{-2\,c-2\,d\,x}\,{\left(a-b\right)}^3}{8\,d}-\frac{16\,\left(25\,b^3+12\,a\,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,"(8*(6*a*b^2 + 29*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)) + (736*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)) - (log(exp(2*c)*exp(2*d*x) + 1)*(6*a^2*b + 5*b^3))/d - (2*(18*a*b^2 + 3*a^2*b + 10*b^3))/(d*(exp(2*c + 2*d*x) + 1)) - (96*(a*b^2 + 15*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)) - (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)) - (x*(a - b)^2*(a - 10*b))/2 + (6*(8*a*b^2 + a^2*b + 10*b^3))/(d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*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)) + (exp(2*c + 2*d*x)*(a + b)^3)/(8*d) - (exp(- 2*c - 2*d*x)*(a - b)^3)/(8*d) - (16*(12*a*b^2 + 25*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"
68,1,707,269,1.486631,"\text{Not used}","int(sinh(c + d*x)*(a + b*tanh(c + d*x)^3)^3,x)","\frac{{\mathrm{e}}^{c+d\,x}\,{\left(a+b\right)}^3}{2\,d}+\frac{{\mathrm{e}}^{-c-d\,x}\,{\left(a-b\right)}^3}{2\,d}-\frac{9\,\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(35\,b^3\,\sqrt{d^2}+64\,a^2\,b\,\sqrt{d^2}\right)}{d\,\sqrt{4096\,a^4\,b^2+4480\,a^2\,b^4+1225\,b^6}}\right)\,\sqrt{4096\,a^4\,b^2+4480\,a^2\,b^4+1225\,b^6}}{64\,\sqrt{d^2}}+\frac{{\mathrm{e}}^{c+d\,x}\,\left(2455\,b^3+1728\,a\,b^2\right)}{40\,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(2605\,b^3+768\,a\,b^2\right)}{20\,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{188\,b^3\,{\mathrm{e}}^{c+d\,x}}{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(192\,a^2\,b+1152\,a\,b^2+325\,b^3\right)}{64\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}+\frac{2\,{\mathrm{e}}^{c+d\,x}\,\left(475\,b^3+48\,a\,b^2\right)}{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{112\,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(192\,a^2\,b+768\,a\,b^2+745\,b^3\right)}{32\,d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}-\frac{32\,b^3\,{\mathrm{e}}^{c+d\,x}}{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)}","Not used",1,"(exp(c + d*x)*(a + b)^3)/(2*d) + (exp(- c - d*x)*(a - b)^3)/(2*d) - (9*atan((exp(d*x)*exp(c)*(35*b^3*(d^2)^(1/2) + 64*a^2*b*(d^2)^(1/2)))/(d*(1225*b^6 + 4480*a^2*b^4 + 4096*a^4*b^2)^(1/2)))*(1225*b^6 + 4480*a^2*b^4 + 4096*a^4*b^2)^(1/2))/(64*(d^2)^(1/2)) + (exp(c + d*x)*(1728*a*b^2 + 2455*b^3))/(40*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)*(768*a*b^2 + 2605*b^3))/(20*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)) - (188*b^3*exp(c + d*x))/(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)*(1152*a*b^2 + 192*a^2*b + 325*b^3))/(64*d*(exp(2*c + 2*d*x) + 1)) + (2*exp(c + d*x)*(48*a*b^2 + 475*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)) + (112*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)*(768*a*b^2 + 192*a^2*b + 745*b^3))/(32*d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1)) - (32*b^3*exp(c + d*x))/(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))","B"
69,1,671,219,6.398766,"\text{Not used}","int((a + b*tanh(c + d*x)^3)^3/sinh(c + d*x),x)","\frac{a^3\,\ln\left({\mathrm{e}}^{c+d\,x}-1\right)}{d}-\frac{a^3\,\ln\left({\mathrm{e}}^{c+d\,x}+1\right)}{d}-\frac{{\mathrm{e}}^{c+d\,x}\,\left(4445\,b^3+4224\,a\,b^2\right)}{120\,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(1925\,b^3+768\,a\,b^2\right)}{20\,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{532\,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{3\,{\mathrm{e}}^{c+d\,x}\,\left(64\,a^2\,b+128\,a\,b^2+31\,b^3\right)}{64\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{2\,{\mathrm{e}}^{c+d\,x}\,\left(1225\,b^3+144\,a\,b^2\right)}{15\,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{112\,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(576\,a^2\,b+1536\,a\,b^2+931\,b^3\right)}{96\,d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}+\frac{32\,b^3\,{\mathrm{e}}^{c+d\,x}}{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{b\,\ln\left({\mathrm{e}}^{c+d\,x}-\mathrm{i}\right)\,\left(192\,a^2+35\,b^2\right)\,1{}\mathrm{i}}{128\,d}+\frac{b\,\ln\left({\mathrm{e}}^{c+d\,x}+1{}\mathrm{i}\right)\,\left(192\,a^2+35\,b^2\right)\,1{}\mathrm{i}}{128\,d}","Not used",1,"(a^3*log(exp(c + d*x) - 1))/d - (a^3*log(exp(c + d*x) + 1))/d - (exp(c + d*x)*(4224*a*b^2 + 4445*b^3))/(120*d*(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1)) - (b*log(exp(c + d*x) - 1i)*(192*a^2 + 35*b^2)*1i)/(128*d) + (b*log(exp(c + d*x) + 1i)*(192*a^2 + 35*b^2)*1i)/(128*d) + (exp(c + d*x)*(768*a*b^2 + 1925*b^3))/(20*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)) + (532*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)) - (3*exp(c + d*x)*(128*a*b^2 + 64*a^2*b + 31*b^3))/(64*d*(exp(2*c + 2*d*x) + 1)) - (2*exp(c + d*x)*(144*a*b^2 + 1225*b^3))/(15*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)) - (112*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)*(1536*a*b^2 + 576*a^2*b + 931*b^3))/(96*d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1)) + (32*b^3*exp(c + d*x))/(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))","B"
70,1,1515,71,1.378006,"\text{Not used}","int((a + b*tanh(c + d*x)^3)^3/sinh(c + d*x)^2,x)","\frac{\frac{-15\,a^2\,b+3\,a\,b^2+7\,b^3}{28\,d}-\frac{{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(3\,a^2\,b+3\,a\,b^2+b^3\right)}{4\,d}}{2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1}-\frac{\frac{15\,a^2\,b+9\,a\,b^2-35\,b^3}{140\,d}+\frac{{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(3\,a^2\,b+3\,a\,b^2+b^3\right)}{4\,d}+\frac{3\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(9\,a^2\,b-3\,a\,b^2+7\,b^3\right)}{28\,d}-\frac{3\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(-15\,a^2\,b+3\,a\,b^2+7\,b^3\right)}{28\,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{{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(3\,a^2\,b+3\,a\,b^2+b^3\right)}{4\,d}-\frac{9\,a^2\,b+3\,a\,b^2+7\,b^3}{28\,d}+\frac{5\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(9\,a^2\,b-3\,a\,b^2+7\,b^3\right)}{14\,d}-\frac{5\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(-15\,a^2\,b+3\,a\,b^2+7\,b^3\right)}{28\,d}+\frac{{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(-15\,a^2\,b+9\,a\,b^2+35\,b^3\right)}{28\,d}+\frac{{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(15\,a^2\,b+9\,a\,b^2-35\,b^3\right)}{14\,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{9\,a^2\,b-3\,a\,b^2+7\,b^3}{28\,d}+\frac{{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(3\,a^2\,b+3\,a\,b^2+b^3\right)}{4\,d}-\frac{{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(-15\,a^2\,b+3\,a\,b^2+7\,b^3\right)}{14\,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{-15\,a^2\,b+9\,a\,b^2+35\,b^3}{140\,d}+\frac{{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(3\,a^2\,b+3\,a\,b^2+b^3\right)}{4\,d}+\frac{3\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(9\,a^2\,b-3\,a\,b^2+7\,b^3\right)}{14\,d}-\frac{{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(-15\,a^2\,b+3\,a\,b^2+7\,b^3\right)}{7\,d}+\frac{{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(15\,a^2\,b+9\,a\,b^2-35\,b^3\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{{\mathrm{e}}^{12\,c+12\,d\,x}\,\left(3\,a^2\,b+3\,a\,b^2+b^3\right)}{4\,d}-\frac{15\,a^2\,b+3\,a\,b^2-7\,b^3}{28\,d}-\frac{3\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(9\,a^2\,b+3\,a\,b^2+7\,b^3\right)}{14\,d}+\frac{15\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(9\,a^2\,b-3\,a\,b^2+7\,b^3\right)}{28\,d}-\frac{3\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(-15\,a^2\,b+3\,a\,b^2+7\,b^3\right)}{14\,d}+\frac{3\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(-15\,a^2\,b+9\,a\,b^2+35\,b^3\right)}{28\,d}+\frac{{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(15\,a^2\,b+9\,a\,b^2-35\,b^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{3\,a^2\,b-3\,a\,b^2+b^3}{4\,d}-\frac{{\mathrm{e}}^{14\,c+14\,d\,x}\,\left(3\,a^2\,b+3\,a\,b^2+b^3\right)}{4\,d}+\frac{3\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(9\,a^2\,b+3\,a\,b^2+7\,b^3\right)}{4\,d}+\frac{{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(15\,a^2\,b+3\,a\,b^2-7\,b^3\right)}{4\,d}-\frac{3\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(9\,a^2\,b-3\,a\,b^2+7\,b^3\right)}{4\,d}+\frac{{\mathrm{e}}^{12\,c+12\,d\,x}\,\left(-15\,a^2\,b+3\,a\,b^2+7\,b^3\right)}{4\,d}-\frac{{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(-15\,a^2\,b+9\,a\,b^2+35\,b^3\right)}{4\,d}-\frac{{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(15\,a^2\,b+9\,a\,b^2-35\,b^3\right)}{4\,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\,a^3}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{3\,a^2\,b+3\,a\,b^2+b^3}{4\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"((3*a*b^2 - 15*a^2*b + 7*b^3)/(28*d) - (exp(2*c + 2*d*x)*(3*a*b^2 + 3*a^2*b + b^3))/(4*d))/(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1) - ((9*a*b^2 + 15*a^2*b - 35*b^3)/(140*d) + (exp(6*c + 6*d*x)*(3*a*b^2 + 3*a^2*b + b^3))/(4*d) + (3*exp(2*c + 2*d*x)*(9*a^2*b - 3*a*b^2 + 7*b^3))/(28*d) - (3*exp(4*c + 4*d*x)*(3*a*b^2 - 15*a^2*b + 7*b^3))/(28*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(10*c + 10*d*x)*(3*a*b^2 + 3*a^2*b + b^3))/(4*d) - (3*a*b^2 + 9*a^2*b + 7*b^3)/(28*d) + (5*exp(6*c + 6*d*x)*(9*a^2*b - 3*a*b^2 + 7*b^3))/(14*d) - (5*exp(8*c + 8*d*x)*(3*a*b^2 - 15*a^2*b + 7*b^3))/(28*d) + (exp(2*c + 2*d*x)*(9*a*b^2 - 15*a^2*b + 35*b^3))/(28*d) + (exp(4*c + 4*d*x)*(9*a*b^2 + 15*a^2*b - 35*b^3))/(14*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) - ((9*a^2*b - 3*a*b^2 + 7*b^3)/(28*d) + (exp(4*c + 4*d*x)*(3*a*b^2 + 3*a^2*b + b^3))/(4*d) - (exp(2*c + 2*d*x)*(3*a*b^2 - 15*a^2*b + 7*b^3))/(14*d))/(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1) - ((9*a*b^2 - 15*a^2*b + 35*b^3)/(140*d) + (exp(8*c + 8*d*x)*(3*a*b^2 + 3*a^2*b + b^3))/(4*d) + (3*exp(4*c + 4*d*x)*(9*a^2*b - 3*a*b^2 + 7*b^3))/(14*d) - (exp(6*c + 6*d*x)*(3*a*b^2 - 15*a^2*b + 7*b^3))/(7*d) + (exp(2*c + 2*d*x)*(9*a*b^2 + 15*a^2*b - 35*b^3))/(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) - ((exp(12*c + 12*d*x)*(3*a*b^2 + 3*a^2*b + b^3))/(4*d) - (3*a*b^2 + 15*a^2*b - 7*b^3)/(28*d) - (3*exp(2*c + 2*d*x)*(3*a*b^2 + 9*a^2*b + 7*b^3))/(14*d) + (15*exp(8*c + 8*d*x)*(9*a^2*b - 3*a*b^2 + 7*b^3))/(28*d) - (3*exp(10*c + 10*d*x)*(3*a*b^2 - 15*a^2*b + 7*b^3))/(14*d) + (3*exp(4*c + 4*d*x)*(9*a*b^2 - 15*a^2*b + 35*b^3))/(28*d) + (exp(6*c + 6*d*x)*(9*a*b^2 + 15*a^2*b - 35*b^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) + ((3*a^2*b - 3*a*b^2 + b^3)/(4*d) - (exp(14*c + 14*d*x)*(3*a*b^2 + 3*a^2*b + b^3))/(4*d) + (3*exp(4*c + 4*d*x)*(3*a*b^2 + 9*a^2*b + 7*b^3))/(4*d) + (exp(2*c + 2*d*x)*(3*a*b^2 + 15*a^2*b - 7*b^3))/(4*d) - (3*exp(10*c + 10*d*x)*(9*a^2*b - 3*a*b^2 + 7*b^3))/(4*d) + (exp(12*c + 12*d*x)*(3*a*b^2 - 15*a^2*b + 7*b^3))/(4*d) - (exp(6*c + 6*d*x)*(9*a*b^2 - 15*a^2*b + 35*b^3))/(4*d) - (exp(8*c + 8*d*x)*(9*a*b^2 + 15*a^2*b - 35*b^3))/(4*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*a^3)/(d*(exp(2*c + 2*d*x) - 1)) - (3*a*b^2 + 3*a^2*b + b^3)/(4*d*(exp(2*c + 2*d*x) + 1))","B"
71,1,731,232,8.048075,"\text{Not used}","int((a + b*tanh(c + d*x)^3)^3/sinh(c + d*x)^3,x)","\frac{a^3\,\ln\left({\mathrm{e}}^{c+d\,x}+1\right)}{2\,d}-\frac{a^3\,\ln\left({\mathrm{e}}^{c+d\,x}-1\right)}{2\,d}+\frac{{\mathrm{e}}^{c+d\,x}\,\left(192\,a^2\,b+5\,b^3\right)}{64\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}+\frac{{\mathrm{e}}^{c+d\,x}\,\left(2245\,b^3+3264\,a\,b^2\right)}{120\,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(1325\,b^3+768\,a\,b^2\right)}{20\,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{500\,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{2\,{\mathrm{e}}^{c+d\,x}\,\left(1025\,b^3+144\,a\,b^2\right)}{15\,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{112\,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(576\,a^2\,b+768\,a\,b^2+251\,b^3\right)}{96\,d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}-\frac{32\,b^3\,{\mathrm{e}}^{c+d\,x}}{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{a^3\,{\mathrm{e}}^{c+d\,x}}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{2\,a^3\,{\mathrm{e}}^{c+d\,x}}{d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{b\,\ln\left({\mathrm{e}}^{c+d\,x}-\mathrm{i}\right)\,\left(192\,a^2+5\,b^2\right)\,1{}\mathrm{i}}{128\,d}+\frac{b\,\ln\left({\mathrm{e}}^{c+d\,x}+1{}\mathrm{i}\right)\,\left(192\,a^2+5\,b^2\right)\,1{}\mathrm{i}}{128\,d}","Not used",1,"(a^3*log(exp(c + d*x) + 1))/(2*d) - (a^3*log(exp(c + d*x) - 1))/(2*d) + (exp(c + d*x)*(192*a^2*b + 5*b^3))/(64*d*(exp(2*c + 2*d*x) + 1)) + (exp(c + d*x)*(3264*a*b^2 + 2245*b^3))/(120*d*(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1)) - (b*log(exp(c + d*x) - 1i)*(192*a^2 + 5*b^2)*1i)/(128*d) + (b*log(exp(c + d*x) + 1i)*(192*a^2 + 5*b^2)*1i)/(128*d) - (exp(c + d*x)*(768*a*b^2 + 1325*b^3))/(20*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)) - (500*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)) + (2*exp(c + d*x)*(144*a*b^2 + 1025*b^3))/(15*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)) + (112*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)*(768*a*b^2 + 576*a^2*b + 251*b^3))/(96*d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1)) - (32*b^3*exp(c + d*x))/(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^3*exp(c + d*x))/(d*(exp(2*c + 2*d*x) - 1)) - (2*a^3*exp(c + d*x))/(d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1))","B"
72,1,646,138,0.540355,"\text{Not used}","int((a + b*tanh(c + d*x)^3)^3/sinh(c + d*x)^4,x)","\frac{96\,\left(10\,b^3+a\,b^2\right)}{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{640\,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(25\,b^3+12\,a\,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{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{2\,\left(3\,a^2\,b+6\,a\,b^2+2\,b^3\right)}{d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}-\frac{6\,\mathrm{atan}\left(\frac{a^2\,b\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\,\sqrt{-d^2}}{d\,\sqrt{a^4\,b^2}}\right)\,\sqrt{a^4\,b^2}}{\sqrt{-d^2}}-\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{4\,a^3}{d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{8\,a^3}{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{8\,\left(11\,b^3+15\,a\,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{6\,a^2\,b}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"(96*(a*b^2 + 10*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)) - (640*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*(12*a*b^2 + 25*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)) + (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)) - (2*(6*a*b^2 + 3*a^2*b + 2*b^3))/(d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1)) - (6*atan((a^2*b*exp(2*c)*exp(2*d*x)*(-d^2)^(1/2))/(d*(a^4*b^2)^(1/2)))*(a^4*b^2)^(1/2))/(-d^2)^(1/2) - (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)) - (4*a^3)/(d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) - (8*a^3)/(3*d*(3*exp(2*c + 2*d*x) - 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) - 1)) + (8*(15*a*b^2 + 11*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)) + (6*a^2*b)/(d*(exp(2*c + 2*d*x) + 1))","B"
73,1,3313,491,4.355033,"\text{Not used}","int(sinh(c + d*x)^4/(a + b*tanh(c + d*x)^3),x)","\left(\sum _{k=1}^3\ln\left(-\mathrm{root}\left(81\,a^4\,b^2\,d^3\,z^3-81\,a^2\,b^4\,d^3\,z^3+27\,b^6\,d^3\,z^3-27\,a^6\,d^3\,z^3-162\,a^2\,b^3\,d^2\,z^2-81\,a^4\,b\,d^2\,z^2-27\,a^2\,b^2\,d\,z-a^2\,b,z,k\right)\,\left(\frac{\left(a^2\,b^{10}\,d+20\,a^3\,b^9\,d-89\,a^4\,b^8\,d+270\,a^5\,b^7\,d-417\,a^6\,b^6\,d+408\,a^7\,b^5\,d-190\,a^8\,b^4\,d+58\,a^9\,b^3\,d-7\,a^{10}\,b^2\,d-a^2\,b^{10}\,d\,{\mathrm{e}}^{2\,\mathrm{root}\left(81\,a^4\,b^2\,d^3\,z^3-81\,a^2\,b^4\,d^3\,z^3+27\,b^6\,d^3\,z^3-27\,a^6\,d^3\,z^3-162\,a^2\,b^3\,d^2\,z^2-81\,a^4\,b\,d^2\,z^2-27\,a^2\,b^2\,d\,z-a^2\,b,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}-a^3\,b^9\,d\,{\mathrm{e}}^{2\,\mathrm{root}\left(81\,a^4\,b^2\,d^3\,z^3-81\,a^2\,b^4\,d^3\,z^3+27\,b^6\,d^3\,z^3-27\,a^6\,d^3\,z^3-162\,a^2\,b^3\,d^2\,z^2-81\,a^4\,b\,d^2\,z^2-27\,a^2\,b^2\,d\,z-a^2\,b,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,52+a^4\,b^8\,d\,{\mathrm{e}}^{2\,\mathrm{root}\left(81\,a^4\,b^2\,d^3\,z^3-81\,a^2\,b^4\,d^3\,z^3+27\,b^6\,d^3\,z^3-27\,a^6\,d^3\,z^3-162\,a^2\,b^3\,d^2\,z^2-81\,a^4\,b\,d^2\,z^2-27\,a^2\,b^2\,d\,z-a^2\,b,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,59-a^5\,b^7\,d\,{\mathrm{e}}^{2\,\mathrm{root}\left(81\,a^4\,b^2\,d^3\,z^3-81\,a^2\,b^4\,d^3\,z^3+27\,b^6\,d^3\,z^3-27\,a^6\,d^3\,z^3-162\,a^2\,b^3\,d^2\,z^2-81\,a^4\,b\,d^2\,z^2-27\,a^2\,b^2\,d\,z-a^2\,b,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,218+a^6\,b^6\,d\,{\mathrm{e}}^{2\,\mathrm{root}\left(81\,a^4\,b^2\,d^3\,z^3-81\,a^2\,b^4\,d^3\,z^3+27\,b^6\,d^3\,z^3-27\,a^6\,d^3\,z^3-162\,a^2\,b^3\,d^2\,z^2-81\,a^4\,b\,d^2\,z^2-27\,a^2\,b^2\,d\,z-a^2\,b,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,241+a^7\,b^5\,d\,{\mathrm{e}}^{2\,\mathrm{root}\left(81\,a^4\,b^2\,d^3\,z^3-81\,a^2\,b^4\,d^3\,z^3+27\,b^6\,d^3\,z^3-27\,a^6\,d^3\,z^3-162\,a^2\,b^3\,d^2\,z^2-81\,a^4\,b\,d^2\,z^2-27\,a^2\,b^2\,d\,z-a^2\,b,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,220-a^8\,b^4\,d\,{\mathrm{e}}^{2\,\mathrm{root}\left(81\,a^4\,b^2\,d^3\,z^3-81\,a^2\,b^4\,d^3\,z^3+27\,b^6\,d^3\,z^3-27\,a^6\,d^3\,z^3-162\,a^2\,b^3\,d^2\,z^2-81\,a^4\,b\,d^2\,z^2-27\,a^2\,b^2\,d\,z-a^2\,b,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,298+a^9\,b^3\,d\,{\mathrm{e}}^{2\,\mathrm{root}\left(81\,a^4\,b^2\,d^3\,z^3-81\,a^2\,b^4\,d^3\,z^3+27\,b^6\,d^3\,z^3-27\,a^6\,d^3\,z^3-162\,a^2\,b^3\,d^2\,z^2-81\,a^4\,b\,d^2\,z^2-27\,a^2\,b^2\,d\,z-a^2\,b,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,50-a^{10}\,b^2\,d\,{\mathrm{e}}^{2\,\mathrm{root}\left(81\,a^4\,b^2\,d^3\,z^3-81\,a^2\,b^4\,d^3\,z^3+27\,b^6\,d^3\,z^3-27\,a^6\,d^3\,z^3-162\,a^2\,b^3\,d^2\,z^2-81\,a^4\,b\,d^2\,z^2-27\,a^2\,b^2\,d\,z-a^2\,b,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\right)\,96}{\left(a+b\right)\,\left(a^2-b^2\right)\,\left(-a^3-a^2\,b+a\,b^2+b^3\right)\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)\,\left(a^5+a^4\,b-2\,a^3\,b^2-2\,a^2\,b^3+a\,b^4+b^5\right)}-\frac{\mathrm{root}\left(81\,a^4\,b^2\,d^3\,z^3-81\,a^2\,b^4\,d^3\,z^3+27\,b^6\,d^3\,z^3-27\,a^6\,d^3\,z^3-162\,a^2\,b^3\,d^2\,z^2-81\,a^4\,b\,d^2\,z^2-27\,a^2\,b^2\,d\,z-a^2\,b,z,k\right)\,\left(a^7\,b\,d^2-8\,a^2\,b^6\,d^2+16\,a^3\,b^5\,d^2-41\,a^4\,b^4\,d^2+37\,a^5\,b^3\,d^2-5\,a^6\,b^2\,d^2+a^2\,b^6\,d^2\,{\mathrm{e}}^{2\,\mathrm{root}\left(81\,a^4\,b^2\,d^3\,z^3-81\,a^2\,b^4\,d^3\,z^3+27\,b^6\,d^3\,z^3-27\,a^6\,d^3\,z^3-162\,a^2\,b^3\,d^2\,z^2-81\,a^4\,b\,d^2\,z^2-27\,a^2\,b^2\,d\,z-a^2\,b,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,18+a^3\,b^5\,d^2\,{\mathrm{e}}^{2\,\mathrm{root}\left(81\,a^4\,b^2\,d^3\,z^3-81\,a^2\,b^4\,d^3\,z^3+27\,b^6\,d^3\,z^3-27\,a^6\,d^3\,z^3-162\,a^2\,b^3\,d^2\,z^2-81\,a^4\,b\,d^2\,z^2-27\,a^2\,b^2\,d\,z-a^2\,b,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,14+a^4\,b^4\,d^2\,{\mathrm{e}}^{2\,\mathrm{root}\left(81\,a^4\,b^2\,d^3\,z^3-81\,a^2\,b^4\,d^3\,z^3+27\,b^6\,d^3\,z^3-27\,a^6\,d^3\,z^3-162\,a^2\,b^3\,d^2\,z^2-81\,a^4\,b\,d^2\,z^2-27\,a^2\,b^2\,d\,z-a^2\,b,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,79+a^5\,b^3\,d^2\,{\mathrm{e}}^{2\,\mathrm{root}\left(81\,a^4\,b^2\,d^3\,z^3-81\,a^2\,b^4\,d^3\,z^3+27\,b^6\,d^3\,z^3-27\,a^6\,d^3\,z^3-162\,a^2\,b^3\,d^2\,z^2-81\,a^4\,b\,d^2\,z^2-27\,a^2\,b^2\,d\,z-a^2\,b,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,81-a^6\,b^2\,d^2\,{\mathrm{e}}^{2\,\mathrm{root}\left(81\,a^4\,b^2\,d^3\,z^3-81\,a^2\,b^4\,d^3\,z^3+27\,b^6\,d^3\,z^3-27\,a^6\,d^3\,z^3-162\,a^2\,b^3\,d^2\,z^2-81\,a^4\,b\,d^2\,z^2-27\,a^2\,b^2\,d\,z-a^2\,b,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}+a^7\,b\,d^2\,{\mathrm{e}}^{2\,\mathrm{root}\left(81\,a^4\,b^2\,d^3\,z^3-81\,a^2\,b^4\,d^3\,z^3+27\,b^6\,d^3\,z^3-27\,a^6\,d^3\,z^3-162\,a^2\,b^3\,d^2\,z^2-81\,a^4\,b\,d^2\,z^2-27\,a^2\,b^2\,d\,z-a^2\,b,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\right)\,288}{{\left(a+b\right)}^2\,\left(a-b\right)\,\left(-a^3-a^2\,b+a\,b^2+b^3\right)\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)}\right)-\frac{\left(-4\,a^3\,b^8+22\,a^4\,b^7-68\,a^5\,b^6+85\,a^6\,b^5-56\,a^7\,b^4+10\,a^8\,b^3+2\,a^9\,b^2+a^3\,b^8\,{\mathrm{e}}^{2\,\mathrm{root}\left(81\,a^4\,b^2\,d^3\,z^3-81\,a^2\,b^4\,d^3\,z^3+27\,b^6\,d^3\,z^3-27\,a^6\,d^3\,z^3-162\,a^2\,b^3\,d^2\,z^2-81\,a^4\,b\,d^2\,z^2-27\,a^2\,b^2\,d\,z-a^2\,b,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,6-a^4\,b^7\,{\mathrm{e}}^{2\,\mathrm{root}\left(81\,a^4\,b^2\,d^3\,z^3-81\,a^2\,b^4\,d^3\,z^3+27\,b^6\,d^3\,z^3-27\,a^6\,d^3\,z^3-162\,a^2\,b^3\,d^2\,z^2-81\,a^4\,b\,d^2\,z^2-27\,a^2\,b^2\,d\,z-a^2\,b,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,10+a^5\,b^6\,{\mathrm{e}}^{2\,\mathrm{root}\left(81\,a^4\,b^2\,d^3\,z^3-81\,a^2\,b^4\,d^3\,z^3+27\,b^6\,d^3\,z^3-27\,a^6\,d^3\,z^3-162\,a^2\,b^3\,d^2\,z^2-81\,a^4\,b\,d^2\,z^2-27\,a^2\,b^2\,d\,z-a^2\,b,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,54-a^6\,b^5\,{\mathrm{e}}^{2\,\mathrm{root}\left(81\,a^4\,b^2\,d^3\,z^3-81\,a^2\,b^4\,d^3\,z^3+27\,b^6\,d^3\,z^3-27\,a^6\,d^3\,z^3-162\,a^2\,b^3\,d^2\,z^2-81\,a^4\,b\,d^2\,z^2-27\,a^2\,b^2\,d\,z-a^2\,b,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,101+a^7\,b^4\,{\mathrm{e}}^{2\,\mathrm{root}\left(81\,a^4\,b^2\,d^3\,z^3-81\,a^2\,b^4\,d^3\,z^3+27\,b^6\,d^3\,z^3-27\,a^6\,d^3\,z^3-162\,a^2\,b^3\,d^2\,z^2-81\,a^4\,b\,d^2\,z^2-27\,a^2\,b^2\,d\,z-a^2\,b,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,56-a^8\,b^3\,{\mathrm{e}}^{2\,\mathrm{root}\left(81\,a^4\,b^2\,d^3\,z^3-81\,a^2\,b^4\,d^3\,z^3+27\,b^6\,d^3\,z^3-27\,a^6\,d^3\,z^3-162\,a^2\,b^3\,d^2\,z^2-81\,a^4\,b\,d^2\,z^2-27\,a^2\,b^2\,d\,z-a^2\,b,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,12+a^9\,b^2\,{\mathrm{e}}^{2\,\mathrm{root}\left(81\,a^4\,b^2\,d^3\,z^3-81\,a^2\,b^4\,d^3\,z^3+27\,b^6\,d^3\,z^3-27\,a^6\,d^3\,z^3-162\,a^2\,b^3\,d^2\,z^2-81\,a^4\,b\,d^2\,z^2-27\,a^2\,b^2\,d\,z-a^2\,b,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,4\right)\,32}{\left(a+b\right)\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)\,{\left(a^5+a^4\,b-2\,a^3\,b^2-2\,a^2\,b^3+a\,b^4+b^5\right)}^2}\right)\,\mathrm{root}\left(81\,a^4\,b^2\,d^3\,z^3-81\,a^2\,b^4\,d^3\,z^3+27\,b^6\,d^3\,z^3-27\,a^6\,d^3\,z^3-162\,a^2\,b^3\,d^2\,z^2-81\,a^4\,b\,d^2\,z^2-27\,a^2\,b^2\,d\,z-a^2\,b,z,k\right)\right)+\frac{{\mathrm{e}}^{4\,c+4\,d\,x}}{64\,d\,\left(a+b\right)}-\frac{{\mathrm{e}}^{-4\,c-4\,d\,x}}{64\,d\,\left(a-b\right)}+\frac{{\mathrm{e}}^{-2\,c-2\,d\,x}\,\left(2\,a+b\right)}{16\,d\,{\left(a-b\right)}^2}-\frac{{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(2\,a-b\right)}{16\,d\,{\left(a+b\right)}^2}+\frac{3\,a\,x\,\left(a+5\,b\right)}{8\,{\left(a-b\right)}^3}","Not used",1,"symsum(log(- root(81*a^4*b^2*d^3*z^3 - 81*a^2*b^4*d^3*z^3 + 27*b^6*d^3*z^3 - 27*a^6*d^3*z^3 - 162*a^2*b^3*d^2*z^2 - 81*a^4*b*d^2*z^2 - 27*a^2*b^2*d*z - a^2*b, z, k)*((96*(a^2*b^10*d + 20*a^3*b^9*d - 89*a^4*b^8*d + 270*a^5*b^7*d - 417*a^6*b^6*d + 408*a^7*b^5*d - 190*a^8*b^4*d + 58*a^9*b^3*d - 7*a^10*b^2*d - a^2*b^10*d*exp(2*root(81*a^4*b^2*d^3*z^3 - 81*a^2*b^4*d^3*z^3 + 27*b^6*d^3*z^3 - 27*a^6*d^3*z^3 - 162*a^2*b^3*d^2*z^2 - 81*a^4*b*d^2*z^2 - 27*a^2*b^2*d*z - a^2*b, z, k))*exp(2*d*x) - 52*a^3*b^9*d*exp(2*root(81*a^4*b^2*d^3*z^3 - 81*a^2*b^4*d^3*z^3 + 27*b^6*d^3*z^3 - 27*a^6*d^3*z^3 - 162*a^2*b^3*d^2*z^2 - 81*a^4*b*d^2*z^2 - 27*a^2*b^2*d*z - a^2*b, z, k))*exp(2*d*x) + 59*a^4*b^8*d*exp(2*root(81*a^4*b^2*d^3*z^3 - 81*a^2*b^4*d^3*z^3 + 27*b^6*d^3*z^3 - 27*a^6*d^3*z^3 - 162*a^2*b^3*d^2*z^2 - 81*a^4*b*d^2*z^2 - 27*a^2*b^2*d*z - a^2*b, z, k))*exp(2*d*x) - 218*a^5*b^7*d*exp(2*root(81*a^4*b^2*d^3*z^3 - 81*a^2*b^4*d^3*z^3 + 27*b^6*d^3*z^3 - 27*a^6*d^3*z^3 - 162*a^2*b^3*d^2*z^2 - 81*a^4*b*d^2*z^2 - 27*a^2*b^2*d*z - a^2*b, z, k))*exp(2*d*x) + 241*a^6*b^6*d*exp(2*root(81*a^4*b^2*d^3*z^3 - 81*a^2*b^4*d^3*z^3 + 27*b^6*d^3*z^3 - 27*a^6*d^3*z^3 - 162*a^2*b^3*d^2*z^2 - 81*a^4*b*d^2*z^2 - 27*a^2*b^2*d*z - a^2*b, z, k))*exp(2*d*x) + 220*a^7*b^5*d*exp(2*root(81*a^4*b^2*d^3*z^3 - 81*a^2*b^4*d^3*z^3 + 27*b^6*d^3*z^3 - 27*a^6*d^3*z^3 - 162*a^2*b^3*d^2*z^2 - 81*a^4*b*d^2*z^2 - 27*a^2*b^2*d*z - a^2*b, z, k))*exp(2*d*x) - 298*a^8*b^4*d*exp(2*root(81*a^4*b^2*d^3*z^3 - 81*a^2*b^4*d^3*z^3 + 27*b^6*d^3*z^3 - 27*a^6*d^3*z^3 - 162*a^2*b^3*d^2*z^2 - 81*a^4*b*d^2*z^2 - 27*a^2*b^2*d*z - a^2*b, z, k))*exp(2*d*x) + 50*a^9*b^3*d*exp(2*root(81*a^4*b^2*d^3*z^3 - 81*a^2*b^4*d^3*z^3 + 27*b^6*d^3*z^3 - 27*a^6*d^3*z^3 - 162*a^2*b^3*d^2*z^2 - 81*a^4*b*d^2*z^2 - 27*a^2*b^2*d*z - a^2*b, z, k))*exp(2*d*x) - a^10*b^2*d*exp(2*root(81*a^4*b^2*d^3*z^3 - 81*a^2*b^4*d^3*z^3 + 27*b^6*d^3*z^3 - 27*a^6*d^3*z^3 - 162*a^2*b^3*d^2*z^2 - 81*a^4*b*d^2*z^2 - 27*a^2*b^2*d*z - a^2*b, z, k))*exp(2*d*x)))/((a + b)*(a^2 - b^2)*(a*b^2 - a^2*b - a^3 + b^3)*(3*a*b^2 + 3*a^2*b + a^3 + b^3)*(a*b^4 + a^4*b + a^5 + b^5 - 2*a^2*b^3 - 2*a^3*b^2)) - (288*root(81*a^4*b^2*d^3*z^3 - 81*a^2*b^4*d^3*z^3 + 27*b^6*d^3*z^3 - 27*a^6*d^3*z^3 - 162*a^2*b^3*d^2*z^2 - 81*a^4*b*d^2*z^2 - 27*a^2*b^2*d*z - a^2*b, z, k)*(a^7*b*d^2 - 8*a^2*b^6*d^2 + 16*a^3*b^5*d^2 - 41*a^4*b^4*d^2 + 37*a^5*b^3*d^2 - 5*a^6*b^2*d^2 + 18*a^2*b^6*d^2*exp(2*root(81*a^4*b^2*d^3*z^3 - 81*a^2*b^4*d^3*z^3 + 27*b^6*d^3*z^3 - 27*a^6*d^3*z^3 - 162*a^2*b^3*d^2*z^2 - 81*a^4*b*d^2*z^2 - 27*a^2*b^2*d*z - a^2*b, z, k))*exp(2*d*x) + 14*a^3*b^5*d^2*exp(2*root(81*a^4*b^2*d^3*z^3 - 81*a^2*b^4*d^3*z^3 + 27*b^6*d^3*z^3 - 27*a^6*d^3*z^3 - 162*a^2*b^3*d^2*z^2 - 81*a^4*b*d^2*z^2 - 27*a^2*b^2*d*z - a^2*b, z, k))*exp(2*d*x) + 79*a^4*b^4*d^2*exp(2*root(81*a^4*b^2*d^3*z^3 - 81*a^2*b^4*d^3*z^3 + 27*b^6*d^3*z^3 - 27*a^6*d^3*z^3 - 162*a^2*b^3*d^2*z^2 - 81*a^4*b*d^2*z^2 - 27*a^2*b^2*d*z - a^2*b, z, k))*exp(2*d*x) + 81*a^5*b^3*d^2*exp(2*root(81*a^4*b^2*d^3*z^3 - 81*a^2*b^4*d^3*z^3 + 27*b^6*d^3*z^3 - 27*a^6*d^3*z^3 - 162*a^2*b^3*d^2*z^2 - 81*a^4*b*d^2*z^2 - 27*a^2*b^2*d*z - a^2*b, z, k))*exp(2*d*x) - a^6*b^2*d^2*exp(2*root(81*a^4*b^2*d^3*z^3 - 81*a^2*b^4*d^3*z^3 + 27*b^6*d^3*z^3 - 27*a^6*d^3*z^3 - 162*a^2*b^3*d^2*z^2 - 81*a^4*b*d^2*z^2 - 27*a^2*b^2*d*z - a^2*b, z, k))*exp(2*d*x) + a^7*b*d^2*exp(2*root(81*a^4*b^2*d^3*z^3 - 81*a^2*b^4*d^3*z^3 + 27*b^6*d^3*z^3 - 27*a^6*d^3*z^3 - 162*a^2*b^3*d^2*z^2 - 81*a^4*b*d^2*z^2 - 27*a^2*b^2*d*z - a^2*b, z, k))*exp(2*d*x)))/((a + b)^2*(a - b)*(a*b^2 - a^2*b - a^3 + b^3)*(3*a*b^2 + 3*a^2*b + a^3 + b^3))) - (32*(22*a^4*b^7 - 4*a^3*b^8 - 68*a^5*b^6 + 85*a^6*b^5 - 56*a^7*b^4 + 10*a^8*b^3 + 2*a^9*b^2 + 6*a^3*b^8*exp(2*root(81*a^4*b^2*d^3*z^3 - 81*a^2*b^4*d^3*z^3 + 27*b^6*d^3*z^3 - 27*a^6*d^3*z^3 - 162*a^2*b^3*d^2*z^2 - 81*a^4*b*d^2*z^2 - 27*a^2*b^2*d*z - a^2*b, z, k))*exp(2*d*x) - 10*a^4*b^7*exp(2*root(81*a^4*b^2*d^3*z^3 - 81*a^2*b^4*d^3*z^3 + 27*b^6*d^3*z^3 - 27*a^6*d^3*z^3 - 162*a^2*b^3*d^2*z^2 - 81*a^4*b*d^2*z^2 - 27*a^2*b^2*d*z - a^2*b, z, k))*exp(2*d*x) + 54*a^5*b^6*exp(2*root(81*a^4*b^2*d^3*z^3 - 81*a^2*b^4*d^3*z^3 + 27*b^6*d^3*z^3 - 27*a^6*d^3*z^3 - 162*a^2*b^3*d^2*z^2 - 81*a^4*b*d^2*z^2 - 27*a^2*b^2*d*z - a^2*b, z, k))*exp(2*d*x) - 101*a^6*b^5*exp(2*root(81*a^4*b^2*d^3*z^3 - 81*a^2*b^4*d^3*z^3 + 27*b^6*d^3*z^3 - 27*a^6*d^3*z^3 - 162*a^2*b^3*d^2*z^2 - 81*a^4*b*d^2*z^2 - 27*a^2*b^2*d*z - a^2*b, z, k))*exp(2*d*x) + 56*a^7*b^4*exp(2*root(81*a^4*b^2*d^3*z^3 - 81*a^2*b^4*d^3*z^3 + 27*b^6*d^3*z^3 - 27*a^6*d^3*z^3 - 162*a^2*b^3*d^2*z^2 - 81*a^4*b*d^2*z^2 - 27*a^2*b^2*d*z - a^2*b, z, k))*exp(2*d*x) - 12*a^8*b^3*exp(2*root(81*a^4*b^2*d^3*z^3 - 81*a^2*b^4*d^3*z^3 + 27*b^6*d^3*z^3 - 27*a^6*d^3*z^3 - 162*a^2*b^3*d^2*z^2 - 81*a^4*b*d^2*z^2 - 27*a^2*b^2*d*z - a^2*b, z, k))*exp(2*d*x) + 4*a^9*b^2*exp(2*root(81*a^4*b^2*d^3*z^3 - 81*a^2*b^4*d^3*z^3 + 27*b^6*d^3*z^3 - 27*a^6*d^3*z^3 - 162*a^2*b^3*d^2*z^2 - 81*a^4*b*d^2*z^2 - 27*a^2*b^2*d*z - a^2*b, z, k))*exp(2*d*x)))/((a + b)*(3*a*b^2 + 3*a^2*b + a^3 + b^3)*(a*b^4 + a^4*b + a^5 + b^5 - 2*a^2*b^3 - 2*a^3*b^2)^2))*root(81*a^4*b^2*d^3*z^3 - 81*a^2*b^4*d^3*z^3 + 27*b^6*d^3*z^3 - 27*a^6*d^3*z^3 - 162*a^2*b^3*d^2*z^2 - 81*a^4*b*d^2*z^2 - 27*a^2*b^2*d*z - a^2*b, z, k), k, 1, 3) + exp(4*c + 4*d*x)/(64*d*(a + b)) - exp(- 4*c - 4*d*x)/(64*d*(a - b)) + (exp(- 2*c - 2*d*x)*(2*a + b))/(16*d*(a - b)^2) - (exp(2*c + 2*d*x)*(2*a - b))/(16*d*(a + b)^2) + (3*a*x*(a + 5*b))/(8*(a - b)^3)","B"
74,-1,-1,33,0.000000,"\text{Not used}","int(sinh(c + d*x)^3/(a + b*tanh(c + d*x)^3),x)","\text{Hanged}","Not used",0,"\text{Hanged}","F(-1)"
75,1,2100,384,2.814898,"\text{Not used}","int(sinh(c + d*x)^2/(a + b*tanh(c + d*x)^3),x)","\left(\sum _{k=1}^3\ln\left(\mathrm{root}\left(54\,a^2\,b^2\,d^3\,z^3-27\,b^4\,d^3\,z^3-27\,a^4\,d^3\,z^3+54\,a^2\,b\,d^2\,z^2+27\,b^3\,d^2\,z^2-9\,b^2\,d\,z+b,z,k\right)\,\left(\frac{\mathrm{root}\left(54\,a^2\,b^2\,d^3\,z^3-27\,b^4\,d^3\,z^3-27\,a^4\,d^3\,z^3+54\,a^2\,b\,d^2\,z^2+27\,b^3\,d^2\,z^2-9\,b^2\,d\,z+b,z,k\right)\,\left(-24\,a^3\,b^7\,d^2-133\,a^4\,b^6\,d^2+146\,a^5\,b^5\,d^2-12\,a^6\,b^4\,d^2+22\,a^7\,b^3\,d^2+a^8\,b^2\,d^2+a^3\,b^7\,d^2\,{\mathrm{e}}^{2\,\mathrm{root}\left(54\,a^2\,b^2\,d^3\,z^3-27\,b^4\,d^3\,z^3-27\,a^4\,d^3\,z^3+54\,a^2\,b\,d^2\,z^2+27\,b^3\,d^2\,z^2-9\,b^2\,d\,z+b,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,32+a^4\,b^6\,d^2\,{\mathrm{e}}^{2\,\mathrm{root}\left(54\,a^2\,b^2\,d^3\,z^3-27\,b^4\,d^3\,z^3-27\,a^4\,d^3\,z^3+54\,a^2\,b\,d^2\,z^2+27\,b^3\,d^2\,z^2-9\,b^2\,d\,z+b,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,577+a^5\,b^5\,d^2\,{\mathrm{e}}^{2\,\mathrm{root}\left(54\,a^2\,b^2\,d^3\,z^3-27\,b^4\,d^3\,z^3-27\,a^4\,d^3\,z^3+54\,a^2\,b\,d^2\,z^2+27\,b^3\,d^2\,z^2-9\,b^2\,d\,z+b,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,548+a^6\,b^4\,d^2\,{\mathrm{e}}^{2\,\mathrm{root}\left(54\,a^2\,b^2\,d^3\,z^3-27\,b^4\,d^3\,z^3-27\,a^4\,d^3\,z^3+54\,a^2\,b\,d^2\,z^2+27\,b^3\,d^2\,z^2-9\,b^2\,d\,z+b,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,70+a^7\,b^3\,d^2\,{\mathrm{e}}^{2\,\mathrm{root}\left(54\,a^2\,b^2\,d^3\,z^3-27\,b^4\,d^3\,z^3-27\,a^4\,d^3\,z^3+54\,a^2\,b\,d^2\,z^2+27\,b^3\,d^2\,z^2-9\,b^2\,d\,z+b,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,68+a^8\,b^2\,d^2\,{\mathrm{e}}^{2\,\mathrm{root}\left(54\,a^2\,b^2\,d^3\,z^3-27\,b^4\,d^3\,z^3-27\,a^4\,d^3\,z^3+54\,a^2\,b\,d^2\,z^2+27\,b^3\,d^2\,z^2-9\,b^2\,d\,z+b,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\right)\,2304}{{\left(a+b\right)}^8\,{\left(a-b\right)}^2\,\left(a^2-2\,a\,b+b^2\right)}+\frac{\left(24\,a^3\,b^8\,d+105\,a^4\,b^7\,d-156\,a^5\,b^6\,d+51\,a^6\,b^5\,d-30\,a^7\,b^4\,d+6\,a^8\,b^3\,d-a^3\,b^8\,d\,{\mathrm{e}}^{2\,\mathrm{root}\left(54\,a^2\,b^2\,d^3\,z^3-27\,b^4\,d^3\,z^3-27\,a^4\,d^3\,z^3+54\,a^2\,b\,d^2\,z^2+27\,b^3\,d^2\,z^2-9\,b^2\,d\,z+b,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,32-a^4\,b^7\,d\,{\mathrm{e}}^{2\,\mathrm{root}\left(54\,a^2\,b^2\,d^3\,z^3-27\,b^4\,d^3\,z^3-27\,a^4\,d^3\,z^3+54\,a^2\,b\,d^2\,z^2+27\,b^3\,d^2\,z^2-9\,b^2\,d\,z+b,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,509-a^5\,b^6\,d\,{\mathrm{e}}^{2\,\mathrm{root}\left(54\,a^2\,b^2\,d^3\,z^3-27\,b^4\,d^3\,z^3-27\,a^4\,d^3\,z^3+54\,a^2\,b\,d^2\,z^2+27\,b^3\,d^2\,z^2-9\,b^2\,d\,z+b,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,350+a^6\,b^5\,d\,{\mathrm{e}}^{2\,\mathrm{root}\left(54\,a^2\,b^2\,d^3\,z^3-27\,b^4\,d^3\,z^3-27\,a^4\,d^3\,z^3+54\,a^2\,b\,d^2\,z^2+27\,b^3\,d^2\,z^2-9\,b^2\,d\,z+b,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,64-a^7\,b^4\,d\,{\mathrm{e}}^{2\,\mathrm{root}\left(54\,a^2\,b^2\,d^3\,z^3-27\,b^4\,d^3\,z^3-27\,a^4\,d^3\,z^3+54\,a^2\,b\,d^2\,z^2+27\,b^3\,d^2\,z^2-9\,b^2\,d\,z+b,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,50+a^8\,b^3\,d\,{\mathrm{e}}^{2\,\mathrm{root}\left(54\,a^2\,b^2\,d^3\,z^3-27\,b^4\,d^3\,z^3-27\,a^4\,d^3\,z^3+54\,a^2\,b\,d^2\,z^2+27\,b^3\,d^2\,z^2-9\,b^2\,d\,z+b,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,13\right)\,1536}{{\left(a+b\right)}^3\,\left(a^2-b^2\right)\,\left(a-b\right)\,\left(a^2-2\,a\,b+b^2\right)\,{\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)}^2}\right)+\frac{\left(-24\,a^3\,b^7-45\,a^4\,b^6+72\,a^5\,b^5-9\,a^6\,b^4+6\,a^7\,b^3+a^3\,b^7\,{\mathrm{e}}^{2\,\mathrm{root}\left(54\,a^2\,b^2\,d^3\,z^3-27\,b^4\,d^3\,z^3-27\,a^4\,d^3\,z^3+54\,a^2\,b\,d^2\,z^2+27\,b^3\,d^2\,z^2-9\,b^2\,d\,z+b,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,32+a^4\,b^6\,{\mathrm{e}}^{2\,\mathrm{root}\left(54\,a^2\,b^2\,d^3\,z^3-27\,b^4\,d^3\,z^3-27\,a^4\,d^3\,z^3+54\,a^2\,b\,d^2\,z^2+27\,b^3\,d^2\,z^2-9\,b^2\,d\,z+b,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,393+a^5\,b^5\,{\mathrm{e}}^{2\,\mathrm{root}\left(54\,a^2\,b^2\,d^3\,z^3-27\,b^4\,d^3\,z^3-27\,a^4\,d^3\,z^3+54\,a^2\,b\,d^2\,z^2+27\,b^3\,d^2\,z^2-9\,b^2\,d\,z+b,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,86+a^6\,b^4\,{\mathrm{e}}^{2\,\mathrm{root}\left(54\,a^2\,b^2\,d^3\,z^3-27\,b^4\,d^3\,z^3-27\,a^4\,d^3\,z^3+54\,a^2\,b\,d^2\,z^2+27\,b^3\,d^2\,z^2-9\,b^2\,d\,z+b,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,57+a^7\,b^3\,{\mathrm{e}}^{2\,\mathrm{root}\left(54\,a^2\,b^2\,d^3\,z^3-27\,b^4\,d^3\,z^3-27\,a^4\,d^3\,z^3+54\,a^2\,b\,d^2\,z^2+27\,b^3\,d^2\,z^2-9\,b^2\,d\,z+b,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,8\right)\,256}{{\left(a+b\right)}^2\,\left(a^2-b^2\right)\,\left(a-b\right)\,\left(a^2-2\,a\,b+b^2\right)\,{\left(a^2+2\,a\,b+b^2\right)}^2\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)}\right)\,\mathrm{root}\left(54\,a^2\,b^2\,d^3\,z^3-27\,b^4\,d^3\,z^3-27\,a^4\,d^3\,z^3+54\,a^2\,b\,d^2\,z^2+27\,b^3\,d^2\,z^2-9\,b^2\,d\,z+b,z,k\right)\right)-\frac{x\,\left(a+2\,b\right)}{2\,{\left(a-b\right)}^2}+\frac{{\mathrm{e}}^{2\,c+2\,d\,x}}{8\,d\,\left(a+b\right)}-\frac{{\mathrm{e}}^{-2\,c-2\,d\,x}}{8\,d\,\left(a-b\right)}","Not used",1,"symsum(log(root(54*a^2*b^2*d^3*z^3 - 27*b^4*d^3*z^3 - 27*a^4*d^3*z^3 + 54*a^2*b*d^2*z^2 + 27*b^3*d^2*z^2 - 9*b^2*d*z + b, z, k)*((2304*root(54*a^2*b^2*d^3*z^3 - 27*b^4*d^3*z^3 - 27*a^4*d^3*z^3 + 54*a^2*b*d^2*z^2 + 27*b^3*d^2*z^2 - 9*b^2*d*z + b, z, k)*(146*a^5*b^5*d^2 - 133*a^4*b^6*d^2 - 24*a^3*b^7*d^2 - 12*a^6*b^4*d^2 + 22*a^7*b^3*d^2 + a^8*b^2*d^2 + 32*a^3*b^7*d^2*exp(2*root(54*a^2*b^2*d^3*z^3 - 27*b^4*d^3*z^3 - 27*a^4*d^3*z^3 + 54*a^2*b*d^2*z^2 + 27*b^3*d^2*z^2 - 9*b^2*d*z + b, z, k))*exp(2*d*x) + 577*a^4*b^6*d^2*exp(2*root(54*a^2*b^2*d^3*z^3 - 27*b^4*d^3*z^3 - 27*a^4*d^3*z^3 + 54*a^2*b*d^2*z^2 + 27*b^3*d^2*z^2 - 9*b^2*d*z + b, z, k))*exp(2*d*x) + 548*a^5*b^5*d^2*exp(2*root(54*a^2*b^2*d^3*z^3 - 27*b^4*d^3*z^3 - 27*a^4*d^3*z^3 + 54*a^2*b*d^2*z^2 + 27*b^3*d^2*z^2 - 9*b^2*d*z + b, z, k))*exp(2*d*x) + 70*a^6*b^4*d^2*exp(2*root(54*a^2*b^2*d^3*z^3 - 27*b^4*d^3*z^3 - 27*a^4*d^3*z^3 + 54*a^2*b*d^2*z^2 + 27*b^3*d^2*z^2 - 9*b^2*d*z + b, z, k))*exp(2*d*x) + 68*a^7*b^3*d^2*exp(2*root(54*a^2*b^2*d^3*z^3 - 27*b^4*d^3*z^3 - 27*a^4*d^3*z^3 + 54*a^2*b*d^2*z^2 + 27*b^3*d^2*z^2 - 9*b^2*d*z + b, z, k))*exp(2*d*x) + a^8*b^2*d^2*exp(2*root(54*a^2*b^2*d^3*z^3 - 27*b^4*d^3*z^3 - 27*a^4*d^3*z^3 + 54*a^2*b*d^2*z^2 + 27*b^3*d^2*z^2 - 9*b^2*d*z + b, z, k))*exp(2*d*x)))/((a + b)^8*(a - b)^2*(a^2 - 2*a*b + b^2)) + (1536*(24*a^3*b^8*d + 105*a^4*b^7*d - 156*a^5*b^6*d + 51*a^6*b^5*d - 30*a^7*b^4*d + 6*a^8*b^3*d - 32*a^3*b^8*d*exp(2*root(54*a^2*b^2*d^3*z^3 - 27*b^4*d^3*z^3 - 27*a^4*d^3*z^3 + 54*a^2*b*d^2*z^2 + 27*b^3*d^2*z^2 - 9*b^2*d*z + b, z, k))*exp(2*d*x) - 509*a^4*b^7*d*exp(2*root(54*a^2*b^2*d^3*z^3 - 27*b^4*d^3*z^3 - 27*a^4*d^3*z^3 + 54*a^2*b*d^2*z^2 + 27*b^3*d^2*z^2 - 9*b^2*d*z + b, z, k))*exp(2*d*x) - 350*a^5*b^6*d*exp(2*root(54*a^2*b^2*d^3*z^3 - 27*b^4*d^3*z^3 - 27*a^4*d^3*z^3 + 54*a^2*b*d^2*z^2 + 27*b^3*d^2*z^2 - 9*b^2*d*z + b, z, k))*exp(2*d*x) + 64*a^6*b^5*d*exp(2*root(54*a^2*b^2*d^3*z^3 - 27*b^4*d^3*z^3 - 27*a^4*d^3*z^3 + 54*a^2*b*d^2*z^2 + 27*b^3*d^2*z^2 - 9*b^2*d*z + b, z, k))*exp(2*d*x) - 50*a^7*b^4*d*exp(2*root(54*a^2*b^2*d^3*z^3 - 27*b^4*d^3*z^3 - 27*a^4*d^3*z^3 + 54*a^2*b*d^2*z^2 + 27*b^3*d^2*z^2 - 9*b^2*d*z + b, z, k))*exp(2*d*x) + 13*a^8*b^3*d*exp(2*root(54*a^2*b^2*d^3*z^3 - 27*b^4*d^3*z^3 - 27*a^4*d^3*z^3 + 54*a^2*b*d^2*z^2 + 27*b^3*d^2*z^2 - 9*b^2*d*z + b, z, k))*exp(2*d*x)))/((a + b)^3*(a^2 - b^2)*(a - b)*(a^2 - 2*a*b + b^2)*(3*a*b^2 + 3*a^2*b + a^3 + b^3)^2)) + (256*(72*a^5*b^5 - 45*a^4*b^6 - 24*a^3*b^7 - 9*a^6*b^4 + 6*a^7*b^3 + 32*a^3*b^7*exp(2*root(54*a^2*b^2*d^3*z^3 - 27*b^4*d^3*z^3 - 27*a^4*d^3*z^3 + 54*a^2*b*d^2*z^2 + 27*b^3*d^2*z^2 - 9*b^2*d*z + b, z, k))*exp(2*d*x) + 393*a^4*b^6*exp(2*root(54*a^2*b^2*d^3*z^3 - 27*b^4*d^3*z^3 - 27*a^4*d^3*z^3 + 54*a^2*b*d^2*z^2 + 27*b^3*d^2*z^2 - 9*b^2*d*z + b, z, k))*exp(2*d*x) + 86*a^5*b^5*exp(2*root(54*a^2*b^2*d^3*z^3 - 27*b^4*d^3*z^3 - 27*a^4*d^3*z^3 + 54*a^2*b*d^2*z^2 + 27*b^3*d^2*z^2 - 9*b^2*d*z + b, z, k))*exp(2*d*x) + 57*a^6*b^4*exp(2*root(54*a^2*b^2*d^3*z^3 - 27*b^4*d^3*z^3 - 27*a^4*d^3*z^3 + 54*a^2*b*d^2*z^2 + 27*b^3*d^2*z^2 - 9*b^2*d*z + b, z, k))*exp(2*d*x) + 8*a^7*b^3*exp(2*root(54*a^2*b^2*d^3*z^3 - 27*b^4*d^3*z^3 - 27*a^4*d^3*z^3 + 54*a^2*b*d^2*z^2 + 27*b^3*d^2*z^2 - 9*b^2*d*z + b, z, k))*exp(2*d*x)))/((a + b)^2*(a^2 - b^2)*(a - b)*(a^2 - 2*a*b + b^2)*(2*a*b + a^2 + b^2)^2*(3*a*b^2 + 3*a^2*b + a^3 + b^3)))*root(54*a^2*b^2*d^3*z^3 - 27*b^4*d^3*z^3 - 27*a^4*d^3*z^3 + 54*a^2*b*d^2*z^2 + 27*b^3*d^2*z^2 - 9*b^2*d*z + b, z, k), k, 1, 3) - (x*(a + 2*b))/(2*(a - b)^2) + exp(2*c + 2*d*x)/(8*d*(a + b)) - exp(- 2*c - 2*d*x)/(8*d*(a - b))","B"
76,1,4474,31,87.987699,"\text{Not used}","int(sinh(c + d*x)/(a + b*tanh(c + d*x)^3),x)","\frac{{\mathrm{e}}^{-c-d\,x}}{2\,\left(a\,d-b\,d\right)}+\left(\sum _{k=1}^6\ln\left(\frac{81920\,a^2\,b^5\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(2187\,a^6\,b^2\,d^6\,z^6-2187\,a^4\,b^4\,d^6\,z^6+729\,a^2\,b^6\,d^6\,z^6-729\,a^8\,d^6\,z^6-1458\,a^4\,b^2\,d^4\,z^4-729\,a^2\,b^4\,d^4\,z^4+81\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}+{\mathrm{root}\left(2187\,a^6\,b^2\,d^6\,z^6-2187\,a^4\,b^4\,d^6\,z^6+729\,a^2\,b^6\,d^6\,z^6-729\,a^8\,d^6\,z^6-1458\,a^4\,b^2\,d^4\,z^4-729\,a^2\,b^4\,d^4\,z^4+81\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^3\,a^2\,b^8\,d^3\,221184-{\mathrm{root}\left(2187\,a^6\,b^2\,d^6\,z^6-2187\,a^4\,b^4\,d^6\,z^6+729\,a^2\,b^6\,d^6\,z^6-729\,a^8\,d^6\,z^6-1458\,a^4\,b^2\,d^4\,z^4-729\,a^2\,b^4\,d^4\,z^4+81\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^3\,a^3\,b^7\,d^3\,3538944+{\mathrm{root}\left(2187\,a^6\,b^2\,d^6\,z^6-2187\,a^4\,b^4\,d^6\,z^6+729\,a^2\,b^6\,d^6\,z^6-729\,a^8\,d^6\,z^6-1458\,a^4\,b^2\,d^4\,z^4-729\,a^2\,b^4\,d^4\,z^4+81\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^3\,a^4\,b^6\,d^3\,1990656+{\mathrm{root}\left(2187\,a^6\,b^2\,d^6\,z^6-2187\,a^4\,b^4\,d^6\,z^6+729\,a^2\,b^6\,d^6\,z^6-729\,a^8\,d^6\,z^6-1458\,a^4\,b^2\,d^4\,z^4-729\,a^2\,b^4\,d^4\,z^4+81\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^3\,a^5\,b^5\,d^3\,3538944-{\mathrm{root}\left(2187\,a^6\,b^2\,d^6\,z^6-2187\,a^4\,b^4\,d^6\,z^6+729\,a^2\,b^6\,d^6\,z^6-729\,a^8\,d^6\,z^6-1458\,a^4\,b^2\,d^4\,z^4-729\,a^2\,b^4\,d^4\,z^4+81\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^3\,a^6\,b^4\,d^3\,2211840+{\mathrm{root}\left(2187\,a^6\,b^2\,d^6\,z^6-2187\,a^4\,b^4\,d^6\,z^6+729\,a^2\,b^6\,d^6\,z^6-729\,a^8\,d^6\,z^6-1458\,a^4\,b^2\,d^4\,z^4-729\,a^2\,b^4\,d^4\,z^4+81\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^5\,a^3\,b^9\,d^5\,7962624+{\mathrm{root}\left(2187\,a^6\,b^2\,d^6\,z^6-2187\,a^4\,b^4\,d^6\,z^6+729\,a^2\,b^6\,d^6\,z^6-729\,a^8\,d^6\,z^6-1458\,a^4\,b^2\,d^4\,z^4-729\,a^2\,b^4\,d^4\,z^4+81\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^5\,a^4\,b^8\,d^5\,15925248-{\mathrm{root}\left(2187\,a^6\,b^2\,d^6\,z^6-2187\,a^4\,b^4\,d^6\,z^6+729\,a^2\,b^6\,d^6\,z^6-729\,a^8\,d^6\,z^6-1458\,a^4\,b^2\,d^4\,z^4-729\,a^2\,b^4\,d^4\,z^4+81\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^5\,a^5\,b^7\,d^5\,7962624-{\mathrm{root}\left(2187\,a^6\,b^2\,d^6\,z^6-2187\,a^4\,b^4\,d^6\,z^6+729\,a^2\,b^6\,d^6\,z^6-729\,a^8\,d^6\,z^6-1458\,a^4\,b^2\,d^4\,z^4-729\,a^2\,b^4\,d^4\,z^4+81\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^5\,a^6\,b^6\,d^5\,31850496-{\mathrm{root}\left(2187\,a^6\,b^2\,d^6\,z^6-2187\,a^4\,b^4\,d^6\,z^6+729\,a^2\,b^6\,d^6\,z^6-729\,a^8\,d^6\,z^6-1458\,a^4\,b^2\,d^4\,z^4-729\,a^2\,b^4\,d^4\,z^4+81\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^5\,a^7\,b^5\,d^5\,7962624+{\mathrm{root}\left(2187\,a^6\,b^2\,d^6\,z^6-2187\,a^4\,b^4\,d^6\,z^6+729\,a^2\,b^6\,d^6\,z^6-729\,a^8\,d^6\,z^6-1458\,a^4\,b^2\,d^4\,z^4-729\,a^2\,b^4\,d^4\,z^4+81\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^5\,a^8\,b^4\,d^5\,15925248+{\mathrm{root}\left(2187\,a^6\,b^2\,d^6\,z^6-2187\,a^4\,b^4\,d^6\,z^6+729\,a^2\,b^6\,d^6\,z^6-729\,a^8\,d^6\,z^6-1458\,a^4\,b^2\,d^4\,z^4-729\,a^2\,b^4\,d^4\,z^4+81\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^5\,a^9\,b^3\,d^5\,7962624+\mathrm{root}\left(2187\,a^6\,b^2\,d^6\,z^6-2187\,a^4\,b^4\,d^6\,z^6+729\,a^2\,b^6\,d^6\,z^6-729\,a^8\,d^6\,z^6-1458\,a^4\,b^2\,d^4\,z^4-729\,a^2\,b^4\,d^4\,z^4+81\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)\,a^2\,b^6\,d\,98304-\mathrm{root}\left(2187\,a^6\,b^2\,d^6\,z^6-2187\,a^4\,b^4\,d^6\,z^6+729\,a^2\,b^6\,d^6\,z^6-729\,a^8\,d^6\,z^6-1458\,a^4\,b^2\,d^4\,z^4-729\,a^2\,b^4\,d^4\,z^4+81\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)\,a^3\,b^5\,d\,98304+\mathrm{root}\left(2187\,a^6\,b^2\,d^6\,z^6-2187\,a^4\,b^4\,d^6\,z^6+729\,a^2\,b^6\,d^6\,z^6-729\,a^8\,d^6\,z^6-1458\,a^4\,b^2\,d^4\,z^4-729\,a^2\,b^4\,d^4\,z^4+81\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)\,a^4\,b^4\,d\,24576+8192\,a\,b^6\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(2187\,a^6\,b^2\,d^6\,z^6-2187\,a^4\,b^4\,d^6\,z^6+729\,a^2\,b^6\,d^6\,z^6-729\,a^8\,d^6\,z^6-1458\,a^4\,b^2\,d^4\,z^4-729\,a^2\,b^4\,d^4\,z^4+81\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}+{\mathrm{root}\left(2187\,a^6\,b^2\,d^6\,z^6-2187\,a^4\,b^4\,d^6\,z^6+729\,a^2\,b^6\,d^6\,z^6-729\,a^8\,d^6\,z^6-1458\,a^4\,b^2\,d^4\,z^4-729\,a^2\,b^4\,d^4\,z^4+81\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^2\,a^2\,b^7\,d^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(2187\,a^6\,b^2\,d^6\,z^6-2187\,a^4\,b^4\,d^6\,z^6+729\,a^2\,b^6\,d^6\,z^6-729\,a^8\,d^6\,z^6-1458\,a^4\,b^2\,d^4\,z^4-729\,a^2\,b^4\,d^4\,z^4+81\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}\,368640-{\mathrm{root}\left(2187\,a^6\,b^2\,d^6\,z^6-2187\,a^4\,b^4\,d^6\,z^6+729\,a^2\,b^6\,d^6\,z^6-729\,a^8\,d^6\,z^6-1458\,a^4\,b^2\,d^4\,z^4-729\,a^2\,b^4\,d^4\,z^4+81\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^2\,a^3\,b^6\,d^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(2187\,a^6\,b^2\,d^6\,z^6-2187\,a^4\,b^4\,d^6\,z^6+729\,a^2\,b^6\,d^6\,z^6-729\,a^8\,d^6\,z^6-1458\,a^4\,b^2\,d^4\,z^4-729\,a^2\,b^4\,d^4\,z^4+81\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}\,2285568-{\mathrm{root}\left(2187\,a^6\,b^2\,d^6\,z^6-2187\,a^4\,b^4\,d^6\,z^6+729\,a^2\,b^6\,d^6\,z^6-729\,a^8\,d^6\,z^6-1458\,a^4\,b^2\,d^4\,z^4-729\,a^2\,b^4\,d^4\,z^4+81\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^2\,a^4\,b^5\,d^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(2187\,a^6\,b^2\,d^6\,z^6-2187\,a^4\,b^4\,d^6\,z^6+729\,a^2\,b^6\,d^6\,z^6-729\,a^8\,d^6\,z^6-1458\,a^4\,b^2\,d^4\,z^4-729\,a^2\,b^4\,d^4\,z^4+81\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}\,5013504-{\mathrm{root}\left(2187\,a^6\,b^2\,d^6\,z^6-2187\,a^4\,b^4\,d^6\,z^6+729\,a^2\,b^6\,d^6\,z^6-729\,a^8\,d^6\,z^6-1458\,a^4\,b^2\,d^4\,z^4-729\,a^2\,b^4\,d^4\,z^4+81\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^2\,a^5\,b^4\,d^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(2187\,a^6\,b^2\,d^6\,z^6-2187\,a^4\,b^4\,d^6\,z^6+729\,a^2\,b^6\,d^6\,z^6-729\,a^8\,d^6\,z^6-1458\,a^4\,b^2\,d^4\,z^4-729\,a^2\,b^4\,d^4\,z^4+81\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}\,368640+{\mathrm{root}\left(2187\,a^6\,b^2\,d^6\,z^6-2187\,a^4\,b^4\,d^6\,z^6+729\,a^2\,b^6\,d^6\,z^6-729\,a^8\,d^6\,z^6-1458\,a^4\,b^2\,d^4\,z^4-729\,a^2\,b^4\,d^4\,z^4+81\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^4\,a^3\,b^8\,d^4\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(2187\,a^6\,b^2\,d^6\,z^6-2187\,a^4\,b^4\,d^6\,z^6+729\,a^2\,b^6\,d^6\,z^6-729\,a^8\,d^6\,z^6-1458\,a^4\,b^2\,d^4\,z^4-729\,a^2\,b^4\,d^4\,z^4+81\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}\,8626176+{\mathrm{root}\left(2187\,a^6\,b^2\,d^6\,z^6-2187\,a^4\,b^4\,d^6\,z^6+729\,a^2\,b^6\,d^6\,z^6-729\,a^8\,d^6\,z^6-1458\,a^4\,b^2\,d^4\,z^4-729\,a^2\,b^4\,d^4\,z^4+81\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^4\,a^4\,b^7\,d^4\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(2187\,a^6\,b^2\,d^6\,z^6-2187\,a^4\,b^4\,d^6\,z^6+729\,a^2\,b^6\,d^6\,z^6-729\,a^8\,d^6\,z^6-1458\,a^4\,b^2\,d^4\,z^4-729\,a^2\,b^4\,d^4\,z^4+81\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}\,40476672+{\mathrm{root}\left(2187\,a^6\,b^2\,d^6\,z^6-2187\,a^4\,b^4\,d^6\,z^6+729\,a^2\,b^6\,d^6\,z^6-729\,a^8\,d^6\,z^6-1458\,a^4\,b^2\,d^4\,z^4-729\,a^2\,b^4\,d^4\,z^4+81\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^4\,a^5\,b^6\,d^4\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(2187\,a^6\,b^2\,d^6\,z^6-2187\,a^4\,b^4\,d^6\,z^6+729\,a^2\,b^6\,d^6\,z^6-729\,a^8\,d^6\,z^6-1458\,a^4\,b^2\,d^4\,z^4-729\,a^2\,b^4\,d^4\,z^4+81\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}\,70336512+{\mathrm{root}\left(2187\,a^6\,b^2\,d^6\,z^6-2187\,a^4\,b^4\,d^6\,z^6+729\,a^2\,b^6\,d^6\,z^6-729\,a^8\,d^6\,z^6-1458\,a^4\,b^2\,d^4\,z^4-729\,a^2\,b^4\,d^4\,z^4+81\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^4\,a^6\,b^5\,d^4\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(2187\,a^6\,b^2\,d^6\,z^6-2187\,a^4\,b^4\,d^6\,z^6+729\,a^2\,b^6\,d^6\,z^6-729\,a^8\,d^6\,z^6-1458\,a^4\,b^2\,d^4\,z^4-729\,a^2\,b^4\,d^4\,z^4+81\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}\,54411264+{\mathrm{root}\left(2187\,a^6\,b^2\,d^6\,z^6-2187\,a^4\,b^4\,d^6\,z^6+729\,a^2\,b^6\,d^6\,z^6-729\,a^8\,d^6\,z^6-1458\,a^4\,b^2\,d^4\,z^4-729\,a^2\,b^4\,d^4\,z^4+81\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^4\,a^7\,b^4\,d^4\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(2187\,a^6\,b^2\,d^6\,z^6-2187\,a^4\,b^4\,d^6\,z^6+729\,a^2\,b^6\,d^6\,z^6-729\,a^8\,d^6\,z^6-1458\,a^4\,b^2\,d^4\,z^4-729\,a^2\,b^4\,d^4\,z^4+81\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}\,16588800+{\mathrm{root}\left(2187\,a^6\,b^2\,d^6\,z^6-2187\,a^4\,b^4\,d^6\,z^6+729\,a^2\,b^6\,d^6\,z^6-729\,a^8\,d^6\,z^6-1458\,a^4\,b^2\,d^4\,z^4-729\,a^2\,b^4\,d^4\,z^4+81\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^4\,a^8\,b^3\,d^4\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(2187\,a^6\,b^2\,d^6\,z^6-2187\,a^4\,b^4\,d^6\,z^6+729\,a^2\,b^6\,d^6\,z^6-729\,a^8\,d^6\,z^6-1458\,a^4\,b^2\,d^4\,z^4-729\,a^2\,b^4\,d^4\,z^4+81\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}\,663552}{-a^{12}-10\,a^{11}\,b-44\,a^{10}\,b^2-110\,a^9\,b^3-165\,a^8\,b^4-132\,a^7\,b^5+132\,a^5\,b^7+165\,a^4\,b^8+110\,a^3\,b^9+44\,a^2\,b^{10}+10\,a\,b^{11}+b^{12}}\right)\,\mathrm{root}\left(2187\,a^6\,b^2\,d^6\,z^6-2187\,a^4\,b^4\,d^6\,z^6+729\,a^2\,b^6\,d^6\,z^6-729\,a^8\,d^6\,z^6-1458\,a^4\,b^2\,d^4\,z^4-729\,a^2\,b^4\,d^4\,z^4+81\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)\right)+\frac{{\mathrm{e}}^{c+d\,x}}{2\,\left(a\,d+b\,d\right)}","Not used",0,"exp(- c - d*x)/(2*(a*d - b*d)) + symsum(log((81920*a^2*b^5*exp(d*x)*exp(root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)) + 221184*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)^3*a^2*b^8*d^3 - 3538944*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)^3*a^3*b^7*d^3 + 1990656*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)^3*a^4*b^6*d^3 + 3538944*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)^3*a^5*b^5*d^3 - 2211840*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)^3*a^6*b^4*d^3 + 7962624*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)^5*a^3*b^9*d^5 + 15925248*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)^5*a^4*b^8*d^5 - 7962624*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)^5*a^5*b^7*d^5 - 31850496*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)^5*a^6*b^6*d^5 - 7962624*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)^5*a^7*b^5*d^5 + 15925248*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)^5*a^8*b^4*d^5 + 7962624*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)^5*a^9*b^3*d^5 + 98304*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)*a^2*b^6*d - 98304*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)*a^3*b^5*d + 24576*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)*a^4*b^4*d + 8192*a*b^6*exp(d*x)*exp(root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)) + 368640*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)^2*a^2*b^7*d^2*exp(d*x)*exp(root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)) - 2285568*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)^2*a^3*b^6*d^2*exp(d*x)*exp(root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)) - 5013504*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)^2*a^4*b^5*d^2*exp(d*x)*exp(root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)) - 368640*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)^2*a^5*b^4*d^2*exp(d*x)*exp(root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)) + 8626176*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)^4*a^3*b^8*d^4*exp(d*x)*exp(root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)) + 40476672*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)^4*a^4*b^7*d^4*exp(d*x)*exp(root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)) + 70336512*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)^4*a^5*b^6*d^4*exp(d*x)*exp(root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)) + 54411264*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)^4*a^6*b^5*d^4*exp(d*x)*exp(root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)) + 16588800*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)^4*a^7*b^4*d^4*exp(d*x)*exp(root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)) + 663552*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)^4*a^8*b^3*d^4*exp(d*x)*exp(root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k)))/(10*a*b^11 - 10*a^11*b - a^12 + b^12 + 44*a^2*b^10 + 110*a^3*b^9 + 165*a^4*b^8 + 132*a^5*b^7 - 132*a^7*b^5 - 165*a^8*b^4 - 110*a^9*b^3 - 44*a^10*b^2))*root(2187*a^6*b^2*d^6*z^6 - 2187*a^4*b^4*d^6*z^6 + 729*a^2*b^6*d^6*z^6 - 729*a^8*d^6*z^6 - 1458*a^4*b^2*d^4*z^4 - 729*a^2*b^4*d^4*z^4 + 81*a^2*b^2*d^2*z^2 - b^2, z, k), k, 1, 6) + exp(c + d*x)/(2*(a*d + b*d))","B"
77,1,3679,31,16.503424,"\text{Not used}","int(1/(sinh(c + d*x)*(a + b*tanh(c + d*x)^3)),x)","\left(\sum _{k=1}^6\ln\left(-\frac{1409286144\,b^6\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}+\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)\,b^7\,d\,134217728+\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)\,a\,b^6\,d\,1879048192-{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^3\,a^2\,b^7\,d^3\,2818572288-{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^3\,a^3\,b^6\,d^3\,40869298176+{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^3\,a^4\,b^5\,d^3\,28185722880+{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^3\,a^5\,b^4\,d^3\,15502147584+{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^5\,a^4\,b^7\,d^5\,18119393280+{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^5\,a^5\,b^6\,d^5\,235552112640+{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^5\,a^6\,b^5\,d^5\,14495514624-{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^5\,a^7\,b^4\,d^5\,219244658688-{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^5\,a^8\,b^3\,d^5\,48922361856-{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^7\,a^6\,b^7\,d^7\,32614907904-{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^7\,a^7\,b^6\,d^7\,179381993472-{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^7\,a^8\,b^5\,d^7\,16307453952+{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^7\,a^9\,b^4\,d^7\,179381993472+{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^7\,a^{10}\,b^3\,d^7\,48922361856-\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)\,a^2\,b^5\,d\,1912602624-\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)\,a^3\,b^4\,d\,100663296+738197504\,a\,b^5\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}+{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^2\,a\,b^7\,d^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}\,268435456-{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^2\,a^2\,b^6\,d^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}\,29158801408-{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^2\,a^3\,b^5\,d^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}\,29125246976-{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^2\,a^4\,b^4\,d^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}\,2113929216-{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^4\,a^3\,b^7\,d^4\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}\,4831838208+{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^4\,a^4\,b^6\,d^4\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}\,165490458624+{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^4\,a^5\,b^5\,d^4\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}\,283870494720+{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^4\,a^6\,b^4\,d^4\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}\,132573560832+{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^4\,a^7\,b^3\,d^4\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}\,2717908992+{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^6\,a^5\,b^7\,d^6\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}\,21743271936-{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^6\,a^6\,b^6\,d^6\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}\,154920812544-{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^6\,a^7\,b^5\,d^6\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}\,279944626176-{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^6\,a^8\,b^4\,d^6\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}\,105998450688-{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}^6\,a^9\,b^3\,d^6\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)}\,2717908992}{a^{13}+13\,a^{12}\,b+78\,a^{11}\,b^2+286\,a^{10}\,b^3+715\,a^9\,b^4+1287\,a^8\,b^5+1716\,a^7\,b^6+1716\,a^6\,b^7+1287\,a^5\,b^8+715\,a^4\,b^9+286\,a^3\,b^{10}+78\,a^2\,b^{11}+13\,a\,b^{12}+b^{13}}\right)\,\mathrm{root}\left(729\,a^6\,b^2\,d^6\,z^6-729\,a^8\,d^6\,z^6-243\,a^4\,b^2\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-b^2,z,k\right)\right)+\frac{\ln\left({\mathrm{e}}^{d\,x+\frac{1}{a\,d}}-1\right)}{a\,d}-\frac{\ln\left({\mathrm{e}}^{d\,x-\frac{1}{a\,d}}+1\right)}{a\,d}","Not used",0,"symsum(log(-(1409286144*b^6*exp(d*x)*exp(root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)) + 134217728*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)*b^7*d + 1879048192*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)*a*b^6*d - 2818572288*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^3*a^2*b^7*d^3 - 40869298176*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^3*a^3*b^6*d^3 + 28185722880*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^3*a^4*b^5*d^3 + 15502147584*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^3*a^5*b^4*d^3 + 18119393280*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^5*a^4*b^7*d^5 + 235552112640*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^5*a^5*b^6*d^5 + 14495514624*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^5*a^6*b^5*d^5 - 219244658688*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^5*a^7*b^4*d^5 - 48922361856*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^5*a^8*b^3*d^5 - 32614907904*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^7*a^6*b^7*d^7 - 179381993472*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^7*a^7*b^6*d^7 - 16307453952*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^7*a^8*b^5*d^7 + 179381993472*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^7*a^9*b^4*d^7 + 48922361856*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^7*a^10*b^3*d^7 - 1912602624*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)*a^2*b^5*d - 100663296*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)*a^3*b^4*d + 738197504*a*b^5*exp(d*x)*exp(root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)) + 268435456*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^2*a*b^7*d^2*exp(d*x)*exp(root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)) - 29158801408*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^2*a^2*b^6*d^2*exp(d*x)*exp(root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)) - 29125246976*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^2*a^3*b^5*d^2*exp(d*x)*exp(root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)) - 2113929216*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^2*a^4*b^4*d^2*exp(d*x)*exp(root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)) - 4831838208*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^4*a^3*b^7*d^4*exp(d*x)*exp(root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)) + 165490458624*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^4*a^4*b^6*d^4*exp(d*x)*exp(root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)) + 283870494720*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^4*a^5*b^5*d^4*exp(d*x)*exp(root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)) + 132573560832*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^4*a^6*b^4*d^4*exp(d*x)*exp(root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)) + 2717908992*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^4*a^7*b^3*d^4*exp(d*x)*exp(root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)) + 21743271936*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^6*a^5*b^7*d^6*exp(d*x)*exp(root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)) - 154920812544*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^6*a^6*b^6*d^6*exp(d*x)*exp(root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)) - 279944626176*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^6*a^7*b^5*d^6*exp(d*x)*exp(root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)) - 105998450688*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^6*a^8*b^4*d^6*exp(d*x)*exp(root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)) - 2717908992*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)^6*a^9*b^3*d^6*exp(d*x)*exp(root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k)))/(13*a*b^12 + 13*a^12*b + a^13 + b^13 + 78*a^2*b^11 + 286*a^3*b^10 + 715*a^4*b^9 + 1287*a^5*b^8 + 1716*a^6*b^7 + 1716*a^7*b^6 + 1287*a^8*b^5 + 715*a^9*b^4 + 286*a^10*b^3 + 78*a^11*b^2))*root(729*a^6*b^2*d^6*z^6 - 729*a^8*d^6*z^6 - 243*a^4*b^2*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - b^2, z, k), k, 1, 6) + log(exp(d*x + 1/(a*d)) - 1)/(a*d) - log(exp(d*x - 1/(a*d)) + 1)/(a*d)","B"
78,1,669,157,8.707256,"\text{Not used}","int(1/(sinh(c + d*x)^2*(a + b*tanh(c + d*x)^3)),x)","\frac{b^{1/3}\,\ln\left(a^{1/3}-b^{1/3}+a^{1/3}\,{\mathrm{e}}^{2\,c+2\,d\,x}+b^{1/3}\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{3\,a^{4/3}\,d}-\frac{2}{a\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}+\frac{b^{1/3}\,\ln\left(\frac{256\,b^3\,\left(19\,a^2\,b-24\,a\,b^2+6\,a^3-b^3+8\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+70\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+113\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^4\,{\left(a+b\right)}^6}+\frac{b^{1/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1536\,b^3\,d\,\left(8\,a^2-8\,b^2+15\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+15\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+66\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^2\,{\left(a+b\right)}^6}+\frac{768\,b^{7/3}\,d\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(24\,a^2\,b-19\,a\,b^2+a^3-6\,b^3+a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+8\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+113\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+70\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^{7/3}\,{\left(a+b\right)}^6}\right)}{3\,a^{4/3}\,d}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3\,a^{4/3}\,d}-\frac{b^{1/3}\,\ln\left(\frac{256\,b^3\,\left(19\,a^2\,b-24\,a\,b^2+6\,a^3-b^3+8\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+70\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+113\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^4\,{\left(a+b\right)}^6}-\frac{b^{1/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1536\,b^3\,d\,\left(8\,a^2-8\,b^2+15\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+15\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+66\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^2\,{\left(a+b\right)}^6}-\frac{768\,b^{7/3}\,d\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(24\,a^2\,b-19\,a\,b^2+a^3-6\,b^3+a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+8\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+113\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+70\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^{7/3}\,{\left(a+b\right)}^6}\right)}{3\,a^{4/3}\,d}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3\,a^{4/3}\,d}","Not used",1,"(b^(1/3)*log(a^(1/3) - b^(1/3) + a^(1/3)*exp(2*c + 2*d*x) + b^(1/3)*exp(2*c + 2*d*x)))/(3*a^(4/3)*d) - 2/(a*d*(exp(2*c + 2*d*x) - 1)) + (b^(1/3)*log((256*b^3*(19*a^2*b - 24*a*b^2 + 6*a^3 - b^3 + 8*a^3*exp(2*c + 2*d*x) + b^3*exp(2*c + 2*d*x) + 70*a*b^2*exp(2*c + 2*d*x) + 113*a^2*b*exp(2*c + 2*d*x)))/(a^4*(a + b)^6) + (b^(1/3)*((3^(1/2)*1i)/2 - 1/2)*((1536*b^3*d*(8*a^2 - 8*b^2 + 15*a^2*exp(2*c + 2*d*x) + 15*b^2*exp(2*c + 2*d*x) + 66*a*b*exp(2*c + 2*d*x)))/(a^2*(a + b)^6) + (768*b^(7/3)*d*((3^(1/2)*1i)/2 - 1/2)*(24*a^2*b - 19*a*b^2 + a^3 - 6*b^3 + a^3*exp(2*c + 2*d*x) + 8*b^3*exp(2*c + 2*d*x) + 113*a*b^2*exp(2*c + 2*d*x) + 70*a^2*b*exp(2*c + 2*d*x)))/(a^(7/3)*(a + b)^6)))/(3*a^(4/3)*d))*((3^(1/2)*1i)/2 - 1/2))/(3*a^(4/3)*d) - (b^(1/3)*log((256*b^3*(19*a^2*b - 24*a*b^2 + 6*a^3 - b^3 + 8*a^3*exp(2*c + 2*d*x) + b^3*exp(2*c + 2*d*x) + 70*a*b^2*exp(2*c + 2*d*x) + 113*a^2*b*exp(2*c + 2*d*x)))/(a^4*(a + b)^6) - (b^(1/3)*((3^(1/2)*1i)/2 + 1/2)*((1536*b^3*d*(8*a^2 - 8*b^2 + 15*a^2*exp(2*c + 2*d*x) + 15*b^2*exp(2*c + 2*d*x) + 66*a*b*exp(2*c + 2*d*x)))/(a^2*(a + b)^6) - (768*b^(7/3)*d*((3^(1/2)*1i)/2 + 1/2)*(24*a^2*b - 19*a*b^2 + a^3 - 6*b^3 + a^3*exp(2*c + 2*d*x) + 8*b^3*exp(2*c + 2*d*x) + 113*a*b^2*exp(2*c + 2*d*x) + 70*a^2*b*exp(2*c + 2*d*x)))/(a^(7/3)*(a + b)^6)))/(3*a^(4/3)*d))*((3^(1/2)*1i)/2 + 1/2))/(3*a^(4/3)*d)","B"
79,1,3643,33,26.920719,"\text{Not used}","int(1/(sinh(c + d*x)^3*(a + b*tanh(c + d*x)^3)),x)","\frac{{\mathrm{e}}^{c+d\,x}}{a\,d-a\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}}-\frac{2\,{\mathrm{e}}^{c+d\,x}}{a\,d-2\,a\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}+a\,d\,{\mathrm{e}}^{4\,c+4\,d\,x}}+\left(\sum _{k=1}^6\ln\left(\frac{-b^{10}\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}\,16777216-\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)\,a\,b^{10}\,d\,33554432-a^2\,b^8\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}\,553648128-a^3\,b^7\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}\,167772160+a^4\,b^6\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}\,570425344+a^5\,b^5\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}\,192937984+{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}^3\,a^5\,b^8\,d^3\,2617245696-{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}^3\,a^6\,b^7\,d^3\,150994944-{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}^3\,a^7\,b^6\,d^3\,1384120320+{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}^3\,a^8\,b^5\,d^3\,2415919104-{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}^3\,a^9\,b^4\,d^3\,3498049536+{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}^5\,a^8\,b^7\,d^5\,5435817984+{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}^5\,a^9\,b^6\,d^5\,679477248-{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}^5\,a^{10}\,b^5\,d^5\,70665633792+{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}^5\,a^{11}\,b^4\,d^5\,52319748096+{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}^5\,a^{12}\,b^3\,d^5\,12230590464+{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}^7\,a^{11}\,b^6\,d^7\,32614907904+{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}^7\,a^{12}\,b^5\,d^7\,146767085568-{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}^7\,a^{13}\,b^4\,d^7\,130459631616-{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}^7\,a^{14}\,b^3\,d^7\,48922361856+\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)\,a^2\,b^9\,d\,67108864-\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)\,a^3\,b^8\,d\,427819008-\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)\,a^4\,b^7\,d\,822083584+\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)\,a^5\,b^6\,d\,436207616+\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)\,a^6\,b^5\,d\,754974720+\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)\,a^7\,b^4\,d\,25165824-a\,b^9\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}\,25165824+{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}^2\,a^3\,b^9\,d^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}\,234881024+{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}^2\,a^4\,b^8\,d^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}\,2592079872-{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}^2\,a^5\,b^7\,d^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}\,2860515328+{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}^2\,a^6\,b^6\,d^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}\,2919235584-{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}^2\,a^7\,b^5\,d^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}\,2357198848-{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}^2\,a^8\,b^4\,d^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}\,528482304+{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}^4\,a^6\,b^8\,d^4\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}\,301989888+{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}^4\,a^7\,b^7\,d^4\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}\,9965666304-{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}^4\,a^8\,b^6\,d^4\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}\,33671872512-{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}^4\,a^9\,b^5\,d^4\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}\,6568280064+{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}^4\,a^{10}\,b^4\,d^4\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}\,29293019136+{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}^4\,a^{11}\,b^3\,d^4\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}\,679477248+{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}^6\,a^{10}\,b^6\,d^6\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}\,72024588288+{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}^6\,a^{11}\,b^5\,d^6\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}\,27179089920-{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}^6\,a^{12}\,b^4\,d^6\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}\,96485769216-{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}^6\,a^{13}\,b^3\,d^6\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)}\,2717908992}{a^{17}+12\,a^{16}\,b+66\,a^{15}\,b^2+220\,a^{14}\,b^3+495\,a^{13}\,b^4+792\,a^{12}\,b^5+924\,a^{11}\,b^6+792\,a^{10}\,b^7+495\,a^9\,b^8+220\,a^8\,b^9+66\,a^7\,b^{10}+12\,a^6\,b^{11}+a^5\,b^{12}}\right)\,\mathrm{root}\left(729\,a^{10}\,d^6\,z^6+27\,a^4\,b^2\,d^2\,z^2+a^2\,b^2-b^4,z,k\right)\right)-\frac{\ln\left(33554432\,a\,b^9-16777216\,b^{10}+113246208\,a^2\,b^8-260046848\,a^3\,b^7+321126400\,a^4\,b^6-382205952\,a^5\,b^5+191102976\,a^6\,b^4+16777216\,b^{10}\,{\mathrm{e}}^{-\frac{1}{2\,a\,d}}\,{\mathrm{e}}^{d\,x}-33554432\,a\,b^9\,{\mathrm{e}}^{-\frac{1}{2\,a\,d}}\,{\mathrm{e}}^{d\,x}-113246208\,a^2\,b^8\,{\mathrm{e}}^{-\frac{1}{2\,a\,d}}\,{\mathrm{e}}^{d\,x}+260046848\,a^3\,b^7\,{\mathrm{e}}^{-\frac{1}{2\,a\,d}}\,{\mathrm{e}}^{d\,x}-321126400\,a^4\,b^6\,{\mathrm{e}}^{-\frac{1}{2\,a\,d}}\,{\mathrm{e}}^{d\,x}+382205952\,a^5\,b^5\,{\mathrm{e}}^{-\frac{1}{2\,a\,d}}\,{\mathrm{e}}^{d\,x}-191102976\,a^6\,b^4\,{\mathrm{e}}^{-\frac{1}{2\,a\,d}}\,{\mathrm{e}}^{d\,x}\right)}{2\,a\,d}+\frac{\ln\left(33554432\,a\,b^9-16777216\,b^{10}+113246208\,a^2\,b^8-260046848\,a^3\,b^7+321126400\,a^4\,b^6-382205952\,a^5\,b^5+191102976\,a^6\,b^4-16777216\,b^{10}\,{\mathrm{e}}^{\frac{1}{2\,a\,d}}\,{\mathrm{e}}^{d\,x}+33554432\,a\,b^9\,{\mathrm{e}}^{\frac{1}{2\,a\,d}}\,{\mathrm{e}}^{d\,x}+113246208\,a^2\,b^8\,{\mathrm{e}}^{\frac{1}{2\,a\,d}}\,{\mathrm{e}}^{d\,x}-260046848\,a^3\,b^7\,{\mathrm{e}}^{\frac{1}{2\,a\,d}}\,{\mathrm{e}}^{d\,x}+321126400\,a^4\,b^6\,{\mathrm{e}}^{\frac{1}{2\,a\,d}}\,{\mathrm{e}}^{d\,x}-382205952\,a^5\,b^5\,{\mathrm{e}}^{\frac{1}{2\,a\,d}}\,{\mathrm{e}}^{d\,x}+191102976\,a^6\,b^4\,{\mathrm{e}}^{\frac{1}{2\,a\,d}}\,{\mathrm{e}}^{d\,x}\right)}{2\,a\,d}","Not used",0,"exp(c + d*x)/(a*d - a*d*exp(2*c + 2*d*x)) - (2*exp(c + d*x))/(a*d - 2*a*d*exp(2*c + 2*d*x) + a*d*exp(4*c + 4*d*x)) + symsum(log((570425344*a^4*b^6*exp(d*x)*exp(root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)) - 33554432*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)*a*b^10*d - 553648128*a^2*b^8*exp(d*x)*exp(root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)) - 167772160*a^3*b^7*exp(d*x)*exp(root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)) - 16777216*b^10*exp(d*x)*exp(root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)) + 192937984*a^5*b^5*exp(d*x)*exp(root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)) + 2617245696*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^3*a^5*b^8*d^3 - 150994944*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^3*a^6*b^7*d^3 - 1384120320*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^3*a^7*b^6*d^3 + 2415919104*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^3*a^8*b^5*d^3 - 3498049536*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^3*a^9*b^4*d^3 + 5435817984*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^5*a^8*b^7*d^5 + 679477248*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^5*a^9*b^6*d^5 - 70665633792*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^5*a^10*b^5*d^5 + 52319748096*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^5*a^11*b^4*d^5 + 12230590464*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^5*a^12*b^3*d^5 + 32614907904*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^7*a^11*b^6*d^7 + 146767085568*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^7*a^12*b^5*d^7 - 130459631616*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^7*a^13*b^4*d^7 - 48922361856*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^7*a^14*b^3*d^7 + 67108864*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)*a^2*b^9*d - 427819008*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)*a^3*b^8*d - 822083584*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)*a^4*b^7*d + 436207616*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)*a^5*b^6*d + 754974720*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)*a^6*b^5*d + 25165824*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)*a^7*b^4*d - 25165824*a*b^9*exp(d*x)*exp(root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)) + 234881024*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^2*a^3*b^9*d^2*exp(d*x)*exp(root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)) + 2592079872*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^2*a^4*b^8*d^2*exp(d*x)*exp(root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)) - 2860515328*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^2*a^5*b^7*d^2*exp(d*x)*exp(root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)) + 2919235584*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^2*a^6*b^6*d^2*exp(d*x)*exp(root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)) - 2357198848*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^2*a^7*b^5*d^2*exp(d*x)*exp(root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)) - 528482304*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^2*a^8*b^4*d^2*exp(d*x)*exp(root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)) + 301989888*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^4*a^6*b^8*d^4*exp(d*x)*exp(root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)) + 9965666304*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^4*a^7*b^7*d^4*exp(d*x)*exp(root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)) - 33671872512*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^4*a^8*b^6*d^4*exp(d*x)*exp(root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)) - 6568280064*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^4*a^9*b^5*d^4*exp(d*x)*exp(root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)) + 29293019136*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^4*a^10*b^4*d^4*exp(d*x)*exp(root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)) + 679477248*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^4*a^11*b^3*d^4*exp(d*x)*exp(root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)) + 72024588288*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^6*a^10*b^6*d^6*exp(d*x)*exp(root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)) + 27179089920*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^6*a^11*b^5*d^6*exp(d*x)*exp(root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)) - 96485769216*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^6*a^12*b^4*d^6*exp(d*x)*exp(root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)) - 2717908992*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)^6*a^13*b^3*d^6*exp(d*x)*exp(root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k)))/(12*a^16*b + a^17 + a^5*b^12 + 12*a^6*b^11 + 66*a^7*b^10 + 220*a^8*b^9 + 495*a^9*b^8 + 792*a^10*b^7 + 924*a^11*b^6 + 792*a^12*b^5 + 495*a^13*b^4 + 220*a^14*b^3 + 66*a^15*b^2))*root(729*a^10*d^6*z^6 + 27*a^4*b^2*d^2*z^2 + a^2*b^2 - b^4, z, k), k, 1, 6) - log(33554432*a*b^9 - 16777216*b^10 + 113246208*a^2*b^8 - 260046848*a^3*b^7 + 321126400*a^4*b^6 - 382205952*a^5*b^5 + 191102976*a^6*b^4 + 16777216*b^10*exp(-1/(2*a*d))*exp(d*x) - 33554432*a*b^9*exp(-1/(2*a*d))*exp(d*x) - 113246208*a^2*b^8*exp(-1/(2*a*d))*exp(d*x) + 260046848*a^3*b^7*exp(-1/(2*a*d))*exp(d*x) - 321126400*a^4*b^6*exp(-1/(2*a*d))*exp(d*x) + 382205952*a^5*b^5*exp(-1/(2*a*d))*exp(d*x) - 191102976*a^6*b^4*exp(-1/(2*a*d))*exp(d*x))/(2*a*d) + log(33554432*a*b^9 - 16777216*b^10 + 113246208*a^2*b^8 - 260046848*a^3*b^7 + 321126400*a^4*b^6 - 382205952*a^5*b^5 + 191102976*a^6*b^4 - 16777216*b^10*exp(1/(2*a*d))*exp(d*x) + 33554432*a*b^9*exp(1/(2*a*d))*exp(d*x) + 113246208*a^2*b^8*exp(1/(2*a*d))*exp(d*x) - 260046848*a^3*b^7*exp(1/(2*a*d))*exp(d*x) + 321126400*a^4*b^6*exp(1/(2*a*d))*exp(d*x) - 382205952*a^5*b^5*exp(1/(2*a*d))*exp(d*x) + 191102976*a^6*b^4*exp(1/(2*a*d))*exp(d*x))/(2*a*d)","B"
80,1,4563,215,3.217873,"\text{Not used}","int(1/(sinh(c + d*x)^4*(a + b*tanh(c + d*x)^3)),x)","\frac{8}{3\,\left(a\,d-3\,a\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,a\,d\,{\mathrm{e}}^{4\,c+4\,d\,x}-a\,d\,{\mathrm{e}}^{6\,c+6\,d\,x}\right)}-\frac{4}{a\,d-2\,a\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}+a\,d\,{\mathrm{e}}^{4\,c+4\,d\,x}}+\left(\sum _{k=1}^3\ln\left(\frac{1507328\,a\,b^9+1572864\,b^{10}-5242880\,a^2\,b^8-7479296\,a^3\,b^7+3948544\,a^4\,b^6+5963776\,a^5\,b^5-278528\,a^6\,b^4+8192\,a^7\,b^3-1572864\,b^{10}\,{\mathrm{e}}^{2\,\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}-1769472\,a\,b^9\,{\mathrm{e}}^{2\,\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}+{\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}^2\,a^4\,b^8\,d^2\,42467328+{\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}^2\,a^5\,b^7\,d^2\,21626880-{\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}^2\,a^6\,b^6\,d^2\,70189056+{\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}^2\,a^7\,b^5\,d^2\,18038784-{\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}^2\,a^8\,b^4\,d^2\,11993088+{\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}^2\,a^9\,b^3\,d^2\,147456-{\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}^2\,a^{10}\,b^2\,d^2\,98304-{\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}^3\,a^6\,b^7\,d^3\,42467328-{\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}^3\,a^7\,b^6\,d^3\,12091392+{\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}^3\,a^8\,b^5\,d^3\,22708224+{\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}^3\,a^9\,b^4\,d^3\,12386304+{\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}^3\,a^{10}\,b^3\,d^3\,19759104-{\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}^3\,a^{11}\,b^2\,d^3\,294912-\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)\,a^2\,b^9\,d\,14155776-\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)\,a^3\,b^8\,d\,10387456+\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)\,a^4\,b^7\,d\,32407552+\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)\,a^5\,b^6\,d\,16187392-\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)\,a^6\,b^5\,d\,29818880+\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)\,a^7\,b^4\,d\,6135808-\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)\,a^8\,b^3\,d\,376832+\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)\,a^9\,b^2\,d\,8192-3571712\,a^2\,b^8\,{\mathrm{e}}^{2\,\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}+30990336\,a^3\,b^7\,{\mathrm{e}}^{2\,\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}+43139072\,a^4\,b^6\,{\mathrm{e}}^{2\,\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}+8519680\,a^5\,b^5\,{\mathrm{e}}^{2\,\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}-245760\,a^6\,b^4\,{\mathrm{e}}^{2\,\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}+8192\,a^7\,b^3\,{\mathrm{e}}^{2\,\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}-{\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}^2\,a^4\,b^8\,d^2\,{\mathrm{e}}^{2\,\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,42467328-{\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}^2\,a^5\,b^7\,d^2\,{\mathrm{e}}^{2\,\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,22413312+{\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}^2\,a^6\,b^6\,d^2\,{\mathrm{e}}^{2\,\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,54853632+{\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}^2\,a^7\,b^5\,d^2\,{\mathrm{e}}^{2\,\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,67977216-{\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}^2\,a^8\,b^4\,d^2\,{\mathrm{e}}^{2\,\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,60014592+{\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}^2\,a^9\,b^3\,d^2\,{\mathrm{e}}^{2\,\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,2211840-{\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}^2\,a^{10}\,b^2\,d^2\,{\mathrm{e}}^{2\,\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,147456+{\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}^3\,a^6\,b^7\,d^3\,{\mathrm{e}}^{2\,\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,42467328+{\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}^3\,a^7\,b^6\,d^3\,{\mathrm{e}}^{2\,\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,9732096-{\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}^3\,a^8\,b^5\,d^3\,{\mathrm{e}}^{2\,\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,85377024+{\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}^3\,a^9\,b^4\,d^3\,{\mathrm{e}}^{2\,\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,246398976+{\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}^3\,a^{10}\,b^3\,d^3\,{\mathrm{e}}^{2\,\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,12828672+{\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}^3\,a^{11}\,b^2\,d^3\,{\mathrm{e}}^{2\,\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,442368+\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)\,a^2\,b^9\,d\,{\mathrm{e}}^{2\,\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,14155776+\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)\,a^3\,b^8\,d\,{\mathrm{e}}^{2\,\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,11698176+\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)\,a^4\,b^7\,d\,{\mathrm{e}}^{2\,\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,6111232-\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)\,a^5\,b^6\,d\,{\mathrm{e}}^{2\,\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,165445632-\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)\,a^6\,b^5\,d\,{\mathrm{e}}^{2\,\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,27688960+\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)\,a^7\,b^4\,d\,{\mathrm{e}}^{2\,\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,10559488-\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)\,a^8\,b^3\,d\,{\mathrm{e}}^{2\,\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,393216+\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)\,a^9\,b^2\,d\,{\mathrm{e}}^{2\,\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)}\,{\mathrm{e}}^{2\,d\,x}\,8192}{3\,a^{15}+24\,a^{14}\,b+84\,a^{13}\,b^2+168\,a^{12}\,b^3+210\,a^{11}\,b^4+168\,a^{10}\,b^5+84\,a^9\,b^6+24\,a^8\,b^7+3\,a^7\,b^8}\right)\,\mathrm{root}\left(27\,a^6\,d^3\,z^3-27\,a^4\,b\,d^2\,z^2+9\,a^2\,b^2\,d\,z+a^2\,b-b^3,z,k\right)\right)-\frac{b\,\ln\left(45613056\,a\,b^9+100663296\,b^{10}-130547712\,a^2\,b^8-18014208\,a^3\,b^7+2015232\,a^4\,b^6+270336\,a^5\,b^5-100663296\,b^{10}\,{\mathrm{e}}^{2\,d\,x}\,{\mathrm{e}}^{-\frac{2\,b}{a^2\,d}}+130547712\,a^2\,b^8\,{\mathrm{e}}^{2\,d\,x}\,{\mathrm{e}}^{-\frac{2\,b}{a^2\,d}}+18014208\,a^3\,b^7\,{\mathrm{e}}^{2\,d\,x}\,{\mathrm{e}}^{-\frac{2\,b}{a^2\,d}}-2015232\,a^4\,b^6\,{\mathrm{e}}^{2\,d\,x}\,{\mathrm{e}}^{-\frac{2\,b}{a^2\,d}}-270336\,a^5\,b^5\,{\mathrm{e}}^{2\,d\,x}\,{\mathrm{e}}^{-\frac{2\,b}{a^2\,d}}-45613056\,a\,b^9\,{\mathrm{e}}^{2\,d\,x}\,{\mathrm{e}}^{-\frac{2\,b}{a^2\,d}}\right)}{a^2\,d}","Not used",1,"8/(3*(a*d - 3*a*d*exp(2*c + 2*d*x) + 3*a*d*exp(4*c + 4*d*x) - a*d*exp(6*c + 6*d*x))) - 4/(a*d - 2*a*d*exp(2*c + 2*d*x) + a*d*exp(4*c + 4*d*x)) + symsum(log((1507328*a*b^9 + 1572864*b^10 - 5242880*a^2*b^8 - 7479296*a^3*b^7 + 3948544*a^4*b^6 + 5963776*a^5*b^5 - 278528*a^6*b^4 + 8192*a^7*b^3 - 1572864*b^10*exp(2*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k))*exp(2*d*x) - 1769472*a*b^9*exp(2*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k))*exp(2*d*x) + 42467328*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)^2*a^4*b^8*d^2 + 21626880*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)^2*a^5*b^7*d^2 - 70189056*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)^2*a^6*b^6*d^2 + 18038784*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)^2*a^7*b^5*d^2 - 11993088*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)^2*a^8*b^4*d^2 + 147456*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)^2*a^9*b^3*d^2 - 98304*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)^2*a^10*b^2*d^2 - 42467328*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)^3*a^6*b^7*d^3 - 12091392*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)^3*a^7*b^6*d^3 + 22708224*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)^3*a^8*b^5*d^3 + 12386304*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)^3*a^9*b^4*d^3 + 19759104*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)^3*a^10*b^3*d^3 - 294912*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)^3*a^11*b^2*d^3 - 14155776*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)*a^2*b^9*d - 10387456*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)*a^3*b^8*d + 32407552*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)*a^4*b^7*d + 16187392*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)*a^5*b^6*d - 29818880*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)*a^6*b^5*d + 6135808*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)*a^7*b^4*d - 376832*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)*a^8*b^3*d + 8192*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)*a^9*b^2*d - 3571712*a^2*b^8*exp(2*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k))*exp(2*d*x) + 30990336*a^3*b^7*exp(2*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k))*exp(2*d*x) + 43139072*a^4*b^6*exp(2*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k))*exp(2*d*x) + 8519680*a^5*b^5*exp(2*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k))*exp(2*d*x) - 245760*a^6*b^4*exp(2*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k))*exp(2*d*x) + 8192*a^7*b^3*exp(2*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k))*exp(2*d*x) - 42467328*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)^2*a^4*b^8*d^2*exp(2*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k))*exp(2*d*x) - 22413312*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)^2*a^5*b^7*d^2*exp(2*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k))*exp(2*d*x) + 54853632*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)^2*a^6*b^6*d^2*exp(2*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k))*exp(2*d*x) + 67977216*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)^2*a^7*b^5*d^2*exp(2*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k))*exp(2*d*x) - 60014592*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)^2*a^8*b^4*d^2*exp(2*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k))*exp(2*d*x) + 2211840*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)^2*a^9*b^3*d^2*exp(2*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k))*exp(2*d*x) - 147456*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)^2*a^10*b^2*d^2*exp(2*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k))*exp(2*d*x) + 42467328*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)^3*a^6*b^7*d^3*exp(2*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k))*exp(2*d*x) + 9732096*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)^3*a^7*b^6*d^3*exp(2*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k))*exp(2*d*x) - 85377024*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)^3*a^8*b^5*d^3*exp(2*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k))*exp(2*d*x) + 246398976*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)^3*a^9*b^4*d^3*exp(2*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k))*exp(2*d*x) + 12828672*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)^3*a^10*b^3*d^3*exp(2*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k))*exp(2*d*x) + 442368*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)^3*a^11*b^2*d^3*exp(2*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k))*exp(2*d*x) + 14155776*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)*a^2*b^9*d*exp(2*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k))*exp(2*d*x) + 11698176*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)*a^3*b^8*d*exp(2*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k))*exp(2*d*x) + 6111232*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)*a^4*b^7*d*exp(2*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k))*exp(2*d*x) - 165445632*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)*a^5*b^6*d*exp(2*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k))*exp(2*d*x) - 27688960*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)*a^6*b^5*d*exp(2*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k))*exp(2*d*x) + 10559488*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)*a^7*b^4*d*exp(2*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k))*exp(2*d*x) - 393216*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)*a^8*b^3*d*exp(2*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k))*exp(2*d*x) + 8192*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k)*a^9*b^2*d*exp(2*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k))*exp(2*d*x))/(24*a^14*b + 3*a^15 + 3*a^7*b^8 + 24*a^8*b^7 + 84*a^9*b^6 + 168*a^10*b^5 + 210*a^11*b^4 + 168*a^12*b^3 + 84*a^13*b^2))*root(27*a^6*d^3*z^3 - 27*a^4*b*d^2*z^2 + 9*a^2*b^2*d*z + a^2*b - b^3, z, k), k, 1, 3) - (b*log(45613056*a*b^9 + 100663296*b^10 - 130547712*a^2*b^8 - 18014208*a^3*b^7 + 2015232*a^4*b^6 + 270336*a^5*b^5 - 100663296*b^10*exp(2*d*x)*exp(-(2*b)/(a^2*d)) + 130547712*a^2*b^8*exp(2*d*x)*exp(-(2*b)/(a^2*d)) + 18014208*a^3*b^7*exp(2*d*x)*exp(-(2*b)/(a^2*d)) - 2015232*a^4*b^6*exp(2*d*x)*exp(-(2*b)/(a^2*d)) - 270336*a^5*b^5*exp(2*d*x)*exp(-(2*b)/(a^2*d)) - 45613056*a*b^9*exp(2*d*x)*exp(-(2*b)/(a^2*d))))/(a^2*d)","B"
81,1,74,63,0.211982,"\text{Not used}","int(cosh(c + d*x)^4*(a + b*tanh(c + d*x)^2),x)","x\,\left(\frac{3\,a}{8}-\frac{b}{8}\right)-\frac{{\mathrm{e}}^{-4\,c-4\,d\,x}\,\left(a+b\right)}{64\,d}+\frac{{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(a+b\right)}{64\,d}-\frac{a\,{\mathrm{e}}^{-2\,c-2\,d\,x}}{8\,d}+\frac{a\,{\mathrm{e}}^{2\,c+2\,d\,x}}{8\,d}","Not used",1,"x*((3*a)/8 - b/8) - (exp(- 4*c - 4*d*x)*(a + b))/(64*d) + (exp(4*c + 4*d*x)*(a + b))/(64*d) - (a*exp(- 2*c - 2*d*x))/(8*d) + (a*exp(2*c + 2*d*x))/(8*d)","B"
82,1,74,30,0.210052,"\text{Not used}","int(cosh(c + d*x)^3*(a + b*tanh(c + d*x)^2),x)","\frac{{\mathrm{e}}^{3\,c+3\,d\,x}\,\left(a+b\right)}{24\,d}-\frac{{\mathrm{e}}^{-3\,c-3\,d\,x}\,\left(a+b\right)}{24\,d}+\frac{{\mathrm{e}}^{c+d\,x}\,\left(3\,a-b\right)}{8\,d}-\frac{{\mathrm{e}}^{-c-d\,x}\,\left(3\,a-b\right)}{8\,d}","Not used",1,"(exp(3*c + 3*d*x)*(a + b))/(24*d) - (exp(- 3*c - 3*d*x)*(a + b))/(24*d) + (exp(c + d*x)*(3*a - b))/(8*d) - (exp(- c - d*x)*(3*a - b))/(8*d)","B"
83,1,27,33,0.145902,"\text{Not used}","int(cosh(c + d*x)^2*(a + b*tanh(c + d*x)^2),x)","x\,\left(\frac{a}{2}-\frac{b}{2}\right)+\frac{\mathrm{sinh}\left(2\,c+2\,d\,x\right)\,\left(a+b\right)}{4\,d}","Not used",1,"x*(a/2 - b/2) + (sinh(2*c + 2*d*x)*(a + b))/(4*d)","B"
84,1,66,27,0.138707,"\text{Not used}","int(cosh(c + d*x)*(a + b*tanh(c + d*x)^2),x)","\frac{{\mathrm{e}}^{c+d\,x}\,\left(a+b\right)}{2\,d}-\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{{\mathrm{e}}^{-c-d\,x}\,\left(a+b\right)}{2\,d}","Not used",1,"(exp(c + d*x)*(a + b))/(2*d) - (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) - (exp(- c - d*x)*(a + b))/(2*d)","B"
85,1,125,40,0.132028,"\text{Not used}","int((a + b*tanh(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"
86,1,59,28,1.217860,"\text{Not used}","int((a + b*tanh(c + d*x)^2)/cosh(c + d*x)^2,x)","-\frac{2\,\left(3\,a+b+6\,a\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,a\,{\mathrm{e}}^{4\,c+4\,d\,x}+3\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}\right)}{3\,d\,{\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}^3}","Not used",1,"-(2*(3*a + b + 6*a*exp(2*c + 2*d*x) + 3*a*exp(4*c + 4*d*x) + 3*b*exp(4*c + 4*d*x)))/(3*d*(exp(2*c + 2*d*x) + 1)^3)","B"
87,1,280,66,1.250789,"\text{Not used}","int((a + b*tanh(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}+b\,\sqrt{d^2}\right)}{d\,\sqrt{16\,a^2+8\,a\,b+b^2}}\right)\,\sqrt{16\,a^2+8\,a\,b+b^2}}{4\,\sqrt{d^2}}-\frac{\frac{{\mathrm{e}}^{5\,c+5\,d\,x}\,\left(a+b\right)}{d}+\frac{2\,{\mathrm{e}}^{3\,c+3\,d\,x}\,\left(a-b\right)}{d}+\frac{{\mathrm{e}}^{c+d\,x}\,\left(a+b\right)}{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+3\,b\right)}{2\,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(4\,a+b\right)}{4\,d\,\left({\mathrm{e}}^{2\,c+2\,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)}","Not used",1,"(atan((exp(d*x)*exp(c)*(4*a*(d^2)^(1/2) + b*(d^2)^(1/2)))/(d*(8*a*b + 16*a^2 + b^2)^(1/2)))*(8*a*b + 16*a^2 + b^2)^(1/2))/(4*(d^2)^(1/2)) - ((exp(5*c + 5*d*x)*(a + b))/d + (2*exp(3*c + 3*d*x)*(a - b))/d + (exp(c + d*x)*(a + 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) - (exp(c + d*x)*(2*a + 3*b))/(2*d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1)) + (exp(c + d*x)*(4*a + b))/(4*d*(exp(2*c + 2*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))","B"
88,1,304,48,0.165261,"\text{Not used}","int((a + b*tanh(c + d*x)^2)/cosh(c + d*x)^4,x)","-\frac{\frac{8\,\left(a-b\right)}{15\,d}+\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(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{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{16\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(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{6\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(a+b\right)}{5\,d}+\frac{8\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(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(a+b\right)}{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 - b))/(15*d) + (4*exp(2*c + 2*d*x)*(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) - ((8*exp(2*c + 2*d*x)*(a + b))/(5*d) + (8*exp(6*c + 6*d*x)*(a + b))/(5*d) + (16*exp(4*c + 4*d*x)*(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) + (6*exp(4*c + 4*d*x)*(a + b))/(5*d) + (8*exp(2*c + 2*d*x)*(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*(a + b))/(5*d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1))","B"
89,1,102,85,0.266433,"\text{Not used}","int(cosh(c + d*x)^4*(a + b*tanh(c + d*x)^2)^2,x)","x\,\left(\frac{3\,a^2}{8}-\frac{a\,b}{4}+\frac{3\,b^2}{8}\right)-\frac{{\mathrm{e}}^{-2\,c-2\,d\,x}\,\left(a^2-b^2\right)}{8\,d}+\frac{{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a^2-b^2\right)}{8\,d}-\frac{{\mathrm{e}}^{-4\,c-4\,d\,x}\,{\left(a+b\right)}^2}{64\,d}+\frac{{\mathrm{e}}^{4\,c+4\,d\,x}\,{\left(a+b\right)}^2}{64\,d}","Not used",1,"x*((3*a^2)/8 - (a*b)/4 + (3*b^2)/8) - (exp(- 2*c - 2*d*x)*(a^2 - b^2))/(8*d) + (exp(2*c + 2*d*x)*(a^2 - b^2))/(8*d) - (exp(- 4*c - 4*d*x)*(a + b)^2)/(64*d) + (exp(4*c + 4*d*x)*(a + b)^2)/(64*d)","B"
90,1,130,54,0.257497,"\text{Not used}","int(cosh(c + d*x)^3*(a + b*tanh(c + d*x)^2)^2,x)","\frac{{\mathrm{e}}^{3\,c+3\,d\,x}\,{\left(a+b\right)}^2}{24\,d}-\frac{{\mathrm{e}}^{-3\,c-3\,d\,x}\,{\left(a+b\right)}^2}{24\,d}-\frac{{\mathrm{e}}^{c+d\,x}\,\left(-3\,a^2+2\,a\,b+5\,b^2\right)}{8\,d}+\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+2\,a\,b+5\,b^2\right)}{8\,d}","Not used",1,"(exp(3*c + 3*d*x)*(a + b)^2)/(24*d) - (exp(- 3*c - 3*d*x)*(a + b)^2)/(24*d) - (exp(c + d*x)*(2*a*b - 3*a^2 + 5*b^2))/(8*d) + (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)*(2*a*b - 3*a^2 + 5*b^2))/(8*d)","B"
91,1,77,51,1.289478,"\text{Not used}","int(cosh(c + d*x)^2*(a + b*tanh(c + d*x)^2)^2,x)","\frac{{\mathrm{e}}^{2\,c+2\,d\,x}\,{\left(a+b\right)}^2}{8\,d}-\frac{2\,b^2}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{{\mathrm{e}}^{-2\,c-2\,d\,x}\,{\left(a+b\right)}^2}{8\,d}-x\,\left(-\frac{a^2}{2}+a\,b+\frac{3\,b^2}{2}\right)","Not used",1,"(exp(2*c + 2*d*x)*(a + b)^2)/(8*d) - (2*b^2)/(d*(exp(2*c + 2*d*x) + 1)) - (exp(- 2*c - 2*d*x)*(a + b)^2)/(8*d) - x*(a*b - a^2/2 + (3*b^2)/2)","B"
92,1,182,60,0.237028,"\text{Not used}","int(cosh(c + d*x)*(a + b*tanh(c + d*x)^2)^2,x)","\frac{{\mathrm{e}}^{c+d\,x}\,{\left(a+b\right)}^2}{2\,d}-\frac{{\mathrm{e}}^{-c-d\,x}\,{\left(a+b\right)}^2}{2\,d}-\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(3\,b^2\,\sqrt{d^2}+4\,a\,b\,\sqrt{d^2}\right)}{d\,\sqrt{16\,a^2\,b^2+24\,a\,b^3+9\,b^4}}\right)\,\sqrt{16\,a^2\,b^2+24\,a\,b^3+9\,b^4}}{\sqrt{d^2}}+\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,"(exp(c + d*x)*(a + b)^2)/(2*d) - (exp(- c - d*x)*(a + b)^2)/(2*d) - (atan((exp(d*x)*exp(c)*(3*b^2*(d^2)^(1/2) + 4*a*b*(d^2)^(1/2)))/(d*(24*a*b^3 + 9*b^4 + 16*a^2*b^2)^(1/2)))*(24*a*b^3 + 9*b^4 + 16*a^2*b^2)^(1/2))/(d^2)^(1/2) + (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"
93,1,303,91,0.162363,"\text{Not used}","int((a + b*tanh(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(5\,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(9\,b^2+8\,a\,b\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 + 5*b^2))/(4*d*(exp(2*c + 2*d*x) + 1)) + (exp(c + d*x)*(8*a*b + 9*b^2))/(2*d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1))","B"
94,1,482,49,1.240317,"\text{Not used}","int((a + b*tanh(c + d*x)^2)^2/cosh(c + d*x)^2,x)","-\frac{\frac{2\,\left(a^2-b^2\right)}{5\,d}+\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,{\left(a+b\right)}^2}{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(a+b\right)}^2}{5\,d}+\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(3\,a^2-2\,a\,b+3\,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}-\frac{\frac{2\,{\left(a+b\right)}^2}{5\,d}+\frac{8\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a^2-b^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(a+b\right)}^2}{5\,d}+\frac{4\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(3\,a^2-2\,a\,b+3\,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+3\,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(a+b\right)}^2}{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+b\right)}^2}{5\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"- ((2*(a^2 - b^2))/(5*d) + (2*exp(2*c + 2*d*x)*(a + b)^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)*(a + b)^2)/(5*d) + (2*exp(2*c + 2*d*x)*(3*a^2 - 2*a*b + 3*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) - ((2*(a + b)^2)/(5*d) + (8*exp(2*c + 2*d*x)*(a^2 - b^2))/(5*d) + (8*exp(6*c + 6*d*x)*(a^2 - b^2))/(5*d) + (2*exp(8*c + 8*d*x)*(a + b)^2)/(5*d) + (4*exp(4*c + 4*d*x)*(3*a^2 - 2*a*b + 3*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*(3*a^2 - 2*a*b + 3*b^2))/(15*d) + (4*exp(2*c + 2*d*x)*(a^2 - b^2))/(5*d) + (2*exp(4*c + 4*d*x)*(a + b)^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 + b)^2)/(5*d*(exp(2*c + 2*d*x) + 1))","B"
95,1,572,125,0.180535,"\text{Not used}","int((a + b*tanh(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}+b^2\,\sqrt{d^2}+4\,a\,b\,\sqrt{d^2}\right)}{d\,\sqrt{64\,a^4+64\,a^3\,b+32\,a^2\,b^2+8\,a\,b^3+b^4}}\right)\,\sqrt{64\,a^4+64\,a^3\,b+32\,a^2\,b^2+8\,a\,b^3+b^4}}{8\,\sqrt{d^2}}-\frac{\frac{2\,{\mathrm{e}}^{c+d\,x}\,{\left(a+b\right)}^2}{3\,d}+\frac{8\,{\mathrm{e}}^{3\,c+3\,d\,x}\,\left(a^2-b^2\right)}{3\,d}+\frac{8\,{\mathrm{e}}^{7\,c+7\,d\,x}\,\left(a^2-b^2\right)}{3\,d}+\frac{2\,{\mathrm{e}}^{9\,c+9\,d\,x}\,{\left(a+b\right)}^2}{3\,d}+\frac{4\,{\mathrm{e}}^{5\,c+5\,d\,x}\,\left(3\,a^2-2\,a\,b+3\,b^2\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(15\,b^2+4\,a\,b\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+4\,a\,b+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+44\,a\,b+23\,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(21\,b^2+20\,a\,b\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) + b^2*(d^2)^(1/2) + 4*a*b*(d^2)^(1/2)))/(d*(8*a*b^3 + 64*a^3*b + 64*a^4 + b^4 + 32*a^2*b^2)^(1/2)))*(8*a*b^3 + 64*a^3*b + 64*a^4 + b^4 + 32*a^2*b^2)^(1/2))/(8*(d^2)^(1/2)) - ((2*exp(c + d*x)*(a + b)^2)/(3*d) + (8*exp(3*c + 3*d*x)*(a^2 - b^2))/(3*d) + (8*exp(7*c + 7*d*x)*(a^2 - b^2))/(3*d) + (2*exp(9*c + 9*d*x)*(a + b)^2)/(3*d) + (4*exp(5*c + 5*d*x)*(3*a^2 - 2*a*b + 3*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*exp(c + d*x)*(4*a*b + 15*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)*(4*a*b + 8*a^2 + b^2))/(8*d*(exp(2*c + 2*d*x) + 1)) - (exp(c + d*x)*(44*a*b + 16*a^2 + 23*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 + 21*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"
96,1,732,76,1.220275,"\text{Not used}","int((a + b*tanh(c + d*x)^2)^2/cosh(c + d*x)^4,x)","-\frac{\frac{4\,\left(3\,a^2-2\,a\,b+3\,b^2\right)}{35\,d}+\frac{32\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a^2-b^2\right)}{35\,d}+\frac{4\,{\mathrm{e}}^{4\,c+4\,d\,x}\,{\left(a+b\right)}^2}{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{32\,\left(a^2-b^2\right)}{105\,d}+\frac{8\,{\mathrm{e}}^{2\,c+2\,d\,x}\,{\left(a+b\right)}^2}{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{32\,\left(a^2-b^2\right)}{105\,d}+\frac{64\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(a^2-b^2\right)}{35\,d}+\frac{16\,{\mathrm{e}}^{6\,c+6\,d\,x}\,{\left(a+b\right)}^2}{21\,d}+\frac{16\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(3\,a^2-2\,a\,b+3\,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{32\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(a^2-b^2\right)}{7\,d}+\frac{32\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(a^2-b^2\right)}{7\,d}+\frac{8\,{\mathrm{e}}^{2\,c+2\,d\,x}\,{\left(a+b\right)}^2}{7\,d}+\frac{8\,{\mathrm{e}}^{10\,c+10\,d\,x}\,{\left(a+b\right)}^2}{7\,d}+\frac{16\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(3\,a^2-2\,a\,b+3\,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(a+b\right)}^2}{21\,d}+\frac{32\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a^2-b^2\right)}{21\,d}+\frac{64\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(a^2-b^2\right)}{21\,d}+\frac{20\,{\mathrm{e}}^{8\,c+8\,d\,x}\,{\left(a+b\right)}^2}{21\,d}+\frac{8\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(3\,a^2-2\,a\,b+3\,b^2\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{4\,{\left(a+b\right)}^2}{21\,d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}","Not used",1,"- ((4*(3*a^2 - 2*a*b + 3*b^2))/(35*d) + (32*exp(2*c + 2*d*x)*(a^2 - b^2))/(35*d) + (4*exp(4*c + 4*d*x)*(a + b)^2)/(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) - ((32*(a^2 - b^2))/(105*d) + (8*exp(2*c + 2*d*x)*(a + 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) - ((32*(a^2 - b^2))/(105*d) + (64*exp(4*c + 4*d*x)*(a^2 - b^2))/(35*d) + (16*exp(6*c + 6*d*x)*(a + b)^2)/(21*d) + (16*exp(2*c + 2*d*x)*(3*a^2 - 2*a*b + 3*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) - ((32*exp(4*c + 4*d*x)*(a^2 - b^2))/(7*d) + (32*exp(8*c + 8*d*x)*(a^2 - b^2))/(7*d) + (8*exp(2*c + 2*d*x)*(a + b)^2)/(7*d) + (8*exp(10*c + 10*d*x)*(a + b)^2)/(7*d) + (16*exp(6*c + 6*d*x)*(3*a^2 - 2*a*b + 3*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)/(21*d) + (32*exp(2*c + 2*d*x)*(a^2 - b^2))/(21*d) + (64*exp(6*c + 6*d*x)*(a^2 - b^2))/(21*d) + (20*exp(8*c + 8*d*x)*(a + b)^2)/(21*d) + (8*exp(4*c + 4*d*x)*(3*a^2 - 2*a*b + 3*b^2))/(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) - (4*(a + b)^2)/(21*d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1))","B"
97,1,133,91,1.406917,"\text{Not used}","int(cosh(c + d*x)^4*(a + b*tanh(c + d*x)^2)^3,x)","x\,\left(\frac{3\,a^3}{8}-\frac{3\,a^2\,b}{8}+\frac{9\,a\,b^2}{8}+\frac{15\,b^3}{8}\right)+\frac{2\,b^3}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{{\mathrm{e}}^{-4\,c-4\,d\,x}\,{\left(a+b\right)}^3}{64\,d}+\frac{{\mathrm{e}}^{4\,c+4\,d\,x}\,{\left(a+b\right)}^3}{64\,d}-\frac{{\mathrm{e}}^{-2\,c-2\,d\,x}\,{\left(a+b\right)}^2\,\left(a-2\,b\right)}{8\,d}+\frac{{\mathrm{e}}^{2\,c+2\,d\,x}\,{\left(a+b\right)}^2\,\left(a-2\,b\right)}{8\,d}","Not used",1,"x*((9*a*b^2)/8 - (3*a^2*b)/8 + (3*a^3)/8 + (15*b^3)/8) + (2*b^3)/(d*(exp(2*c + 2*d*x) + 1)) - (exp(- 4*c - 4*d*x)*(a + b)^3)/(64*d) + (exp(4*c + 4*d*x)*(a + b)^3)/(64*d) - (exp(- 2*c - 2*d*x)*(a + b)^2*(a - 2*b))/(8*d) + (exp(2*c + 2*d*x)*(a + b)^2*(a - 2*b))/(8*d)","B"
98,1,232,87,0.355252,"\text{Not used}","int(cosh(c + d*x)^3*(a + b*tanh(c + d*x)^2)^3,x)","\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(5\,b^3\,\sqrt{d^2}+6\,a\,b^2\,\sqrt{d^2}\right)}{d\,\sqrt{36\,a^2\,b^4+60\,a\,b^5+25\,b^6}}\right)\,\sqrt{36\,a^2\,b^4+60\,a\,b^5+25\,b^6}}{\sqrt{d^2}}-\frac{{\mathrm{e}}^{-3\,c-3\,d\,x}\,{\left(a+b\right)}^3}{24\,d}+\frac{{\mathrm{e}}^{3\,c+3\,d\,x}\,{\left(a+b\right)}^3}{24\,d}+\frac{3\,{\mathrm{e}}^{c+d\,x}\,{\left(a+b\right)}^2\,\left(a-3\,b\right)}{8\,d}-\frac{b^3\,{\mathrm{e}}^{c+d\,x}}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{3\,{\mathrm{e}}^{-c-d\,x}\,{\left(a+b\right)}^2\,\left(a-3\,b\right)}{8\,d}+\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)*(5*b^3*(d^2)^(1/2) + 6*a*b^2*(d^2)^(1/2)))/(d*(60*a*b^5 + 25*b^6 + 36*a^2*b^4)^(1/2)))*(60*a*b^5 + 25*b^6 + 36*a^2*b^4)^(1/2))/(d^2)^(1/2) - (exp(- 3*c - 3*d*x)*(a + b)^3)/(24*d) + (exp(3*c + 3*d*x)*(a + b)^3)/(24*d) + (3*exp(c + d*x)*(a + b)^2*(a - 3*b))/(8*d) - (b^3*exp(c + d*x))/(d*(exp(2*c + 2*d*x) + 1)) - (3*exp(- c - d*x)*(a + b)^2*(a - 3*b))/(8*d) + (2*b^3*exp(c + d*x))/(d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1))","B"
99,1,243,78,0.289261,"\text{Not used}","int(cosh(c + d*x)^2*(a + b*tanh(c + d*x)^2)^3,x)","\frac{{\mathrm{e}}^{2\,c+2\,d\,x}\,{\left(a+b\right)}^3}{8\,d}-\frac{\frac{2\,\left(b^3+3\,a\,b^2\right)}{3\,d}+\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(b^3+a\,b^2\right)}{d}}{2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1}-\frac{2\,\left(b^3+a\,b^2\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{{\mathrm{e}}^{-2\,c-2\,d\,x}\,{\left(a+b\right)}^3}{8\,d}-\frac{\frac{2\,\left(b^3+a\,b^2\right)}{d}+\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(b^3+3\,a\,b^2\right)}{3\,d}+\frac{2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(b^3+a\,b^2\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{x\,{\left(a+b\right)}^2\,\left(a-5\,b\right)}{2}","Not used",1,"(exp(2*c + 2*d*x)*(a + b)^3)/(8*d) - ((2*(3*a*b^2 + b^3))/(3*d) + (2*exp(2*c + 2*d*x)*(a*b^2 + b^3))/d)/(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1) - (2*(a*b^2 + b^3))/(d*(exp(2*c + 2*d*x) + 1)) - (exp(- 2*c - 2*d*x)*(a + b)^3)/(8*d) - ((2*(a*b^2 + b^3))/d + (4*exp(2*c + 2*d*x)*(3*a*b^2 + b^3))/(3*d) + (2*exp(4*c + 4*d*x)*(a*b^2 + b^3))/d)/(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1) + (x*(a + b)^2*(a - 5*b))/2","B"
100,1,355,99,0.308838,"\text{Not used}","int(cosh(c + d*x)*(a + b*tanh(c + d*x)^2)^3,x)","\frac{{\mathrm{e}}^{c+d\,x}\,{\left(a+b\right)}^3}{2\,d}-\frac{{\mathrm{e}}^{-c-d\,x}\,{\left(a+b\right)}^3}{2\,d}-\frac{3\,\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(5\,b^3\,\sqrt{d^2}+12\,a\,b^2\,\sqrt{d^2}+8\,a^2\,b\,\sqrt{d^2}\right)}{d\,\sqrt{64\,a^4\,b^2+192\,a^3\,b^3+224\,a^2\,b^4+120\,a\,b^5+25\,b^6}}\right)\,\sqrt{64\,a^4\,b^2+192\,a^3\,b^3+224\,a^2\,b^4+120\,a\,b^5+25\,b^6}}{4\,\sqrt{d^2}}+\frac{3\,{\mathrm{e}}^{c+d\,x}\,\left(3\,b^3+4\,a\,b^2\right)}{4\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}+\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(13\,b^3+12\,a\,b^2\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)}","Not used",1,"(exp(c + d*x)*(a + b)^3)/(2*d) - (exp(- c - d*x)*(a + b)^3)/(2*d) - (3*atan((exp(d*x)*exp(c)*(5*b^3*(d^2)^(1/2) + 12*a*b^2*(d^2)^(1/2) + 8*a^2*b*(d^2)^(1/2)))/(d*(120*a*b^5 + 25*b^6 + 224*a^2*b^4 + 192*a^3*b^3 + 64*a^4*b^2)^(1/2)))*(120*a*b^5 + 25*b^6 + 224*a^2*b^4 + 192*a^3*b^3 + 64*a^4*b^2)^(1/2))/(4*(d^2)^(1/2)) + (3*exp(c + d*x)*(4*a*b^2 + 3*b^3))/(4*d*(exp(2*c + 2*d*x) + 1)) + (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 + 13*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))","B"
101,1,535,149,1.394065,"\text{Not used}","int((a + b*tanh(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(55\,b^3+54\,a\,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{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(5\,b^3+2\,a\,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^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+30\,a\,b^2+11\,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+162\,a\,b^2+85\,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 + 55*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 + 5*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)*(30*a*b^2 + 24*a^2*b + 11*b^3))/(8*d*(exp(2*c + 2*d*x) + 1)) + (exp(c + d*x)*(162*a*b^2 + 72*a^2*b + 85*b^3))/(12*d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1))","B"
102,1,1050,67,1.333031,"\text{Not used}","int((a + b*tanh(c + d*x)^2)^3/cosh(c + d*x)^2,x)","-\frac{\frac{2\,\left(5\,a^3-3\,a^2\,b+3\,a\,b^2-5\,b^3\right)}{35\,d}+\frac{2\,{\mathrm{e}}^{6\,c+6\,d\,x}\,{\left(a+b\right)}^3}{7\,d}-\frac{6\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(-5\,a^3+a^2\,b+a\,b^2-5\,b^3\right)}{35\,d}+\frac{6\,{\mathrm{e}}^{4\,c+4\,d\,x}\,{\left(a+b\right)}^2\,\left(a-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\,{\left(a+b\right)}^3}{7\,d}+\frac{2\,{\mathrm{e}}^{12\,c+12\,d\,x}\,{\left(a+b\right)}^3}{7\,d}-\frac{6\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(-5\,a^3+a^2\,b+a\,b^2-5\,b^3\right)}{7\,d}-\frac{6\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(-5\,a^3+a^2\,b+a\,b^2-5\,b^3\right)}{7\,d}+\frac{8\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(5\,a^3-3\,a^2\,b+3\,a\,b^2-5\,b^3\right)}{7\,d}+\frac{12\,{\mathrm{e}}^{2\,c+2\,d\,x}\,{\left(a+b\right)}^2\,\left(a-b\right)}{7\,d}+\frac{12\,{\mathrm{e}}^{10\,c+10\,d\,x}\,{\left(a+b\right)}^2\,\left(a-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\,{\mathrm{e}}^{4\,c+4\,d\,x}\,{\left(a+b\right)}^3}{7\,d}-\frac{2\,\left(-5\,a^3+a^2\,b+a\,b^2-5\,b^3\right)}{35\,d}+\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,{\left(a+b\right)}^2\,\left(a-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\,{\left(a+b\right)}^2\,\left(a-b\right)}{7\,d}+\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,{\left(a+b\right)}^3}{7\,d}}{2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1}-\frac{\frac{2\,{\mathrm{e}}^{8\,c+8\,d\,x}\,{\left(a+b\right)}^3}{7\,d}-\frac{2\,\left(-5\,a^3+a^2\,b+a\,b^2-5\,b^3\right)}{35\,d}-\frac{12\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(-5\,a^3+a^2\,b+a\,b^2-5\,b^3\right)}{35\,d}+\frac{8\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(5\,a^3-3\,a^2\,b+3\,a\,b^2-5\,b^3\right)}{35\,d}+\frac{8\,{\mathrm{e}}^{6\,c+6\,d\,x}\,{\left(a+b\right)}^2\,\left(a-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\,{\left(a+b\right)}^2\,\left(a-b\right)}{7\,d}+\frac{2\,{\mathrm{e}}^{10\,c+10\,d\,x}\,{\left(a+b\right)}^3}{7\,d}-\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(-5\,a^3+a^2\,b+a\,b^2-5\,b^3\right)}{7\,d}-\frac{4\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(-5\,a^3+a^2\,b+a\,b^2-5\,b^3\right)}{7\,d}+\frac{4\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(5\,a^3-3\,a^2\,b+3\,a\,b^2-5\,b^3\right)}{7\,d}+\frac{10\,{\mathrm{e}}^{8\,c+8\,d\,x}\,{\left(a+b\right)}^2\,\left(a-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\,{\left(a+b\right)}^3}{7\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"- ((2*(3*a*b^2 - 3*a^2*b + 5*a^3 - 5*b^3))/(35*d) + (2*exp(6*c + 6*d*x)*(a + b)^3)/(7*d) - (6*exp(2*c + 2*d*x)*(a*b^2 + a^2*b - 5*a^3 - 5*b^3))/(35*d) + (6*exp(4*c + 4*d*x)*(a + b)^2*(a - 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 + b)^3)/(7*d) + (2*exp(12*c + 12*d*x)*(a + b)^3)/(7*d) - (6*exp(4*c + 4*d*x)*(a*b^2 + a^2*b - 5*a^3 - 5*b^3))/(7*d) - (6*exp(8*c + 8*d*x)*(a*b^2 + a^2*b - 5*a^3 - 5*b^3))/(7*d) + (8*exp(6*c + 6*d*x)*(3*a*b^2 - 3*a^2*b + 5*a^3 - 5*b^3))/(7*d) + (12*exp(2*c + 2*d*x)*(a + b)^2*(a - b))/(7*d) + (12*exp(10*c + 10*d*x)*(a + b)^2*(a - 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*exp(4*c + 4*d*x)*(a + b)^3)/(7*d) - (2*(a*b^2 + a^2*b - 5*a^3 - 5*b^3))/(35*d) + (4*exp(2*c + 2*d*x)*(a + b)^2*(a - 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 + b)^2*(a - b))/(7*d) + (2*exp(2*c + 2*d*x)*(a + b)^3)/(7*d))/(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1) - ((2*exp(8*c + 8*d*x)*(a + b)^3)/(7*d) - (2*(a*b^2 + a^2*b - 5*a^3 - 5*b^3))/(35*d) - (12*exp(4*c + 4*d*x)*(a*b^2 + a^2*b - 5*a^3 - 5*b^3))/(35*d) + (8*exp(2*c + 2*d*x)*(3*a*b^2 - 3*a^2*b + 5*a^3 - 5*b^3))/(35*d) + (8*exp(6*c + 6*d*x)*(a + b)^2*(a - 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 + b)^2*(a - b))/(7*d) + (2*exp(10*c + 10*d*x)*(a + b)^3)/(7*d) - (2*exp(2*c + 2*d*x)*(a*b^2 + a^2*b - 5*a^3 - 5*b^3))/(7*d) - (4*exp(6*c + 6*d*x)*(a*b^2 + a^2*b - 5*a^3 - 5*b^3))/(7*d) + (4*exp(4*c + 4*d*x)*(3*a*b^2 - 3*a^2*b + 5*a^3 - 5*b^3))/(7*d) + (10*exp(8*c + 8*d*x)*(a + b)^2*(a - 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 + b)^3)/(7*d*(exp(2*c + 2*d*x) + 1))","B"
103,1,951,198,1.364224,"\text{Not used}","int((a + b*tanh(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}+5\,b^3\,\sqrt{d^2}+24\,a\,b^2\,\sqrt{d^2}+48\,a^2\,b\,\sqrt{d^2}\right)}{d\,\sqrt{4096\,a^6+6144\,a^5\,b+5376\,a^4\,b^2+2944\,a^3\,b^3+1056\,a^2\,b^4+240\,a\,b^5+25\,b^6}}\right)\,\sqrt{4096\,a^6+6144\,a^5\,b+5376\,a^4\,b^2+2944\,a^3\,b^3+1056\,a^2\,b^4+240\,a\,b^5+25\,b^6}}{64\,\sqrt{d^2}}-\frac{\frac{{\mathrm{e}}^{c+d\,x}\,{\left(a+b\right)}^3}{2\,d}+\frac{{\mathrm{e}}^{13\,c+13\,d\,x}\,{\left(a+b\right)}^3}{2\,d}-\frac{3\,{\mathrm{e}}^{5\,c+5\,d\,x}\,\left(-5\,a^3+a^2\,b+a\,b^2-5\,b^3\right)}{2\,d}-\frac{3\,{\mathrm{e}}^{9\,c+9\,d\,x}\,\left(-5\,a^3+a^2\,b+a\,b^2-5\,b^3\right)}{2\,d}+\frac{2\,{\mathrm{e}}^{7\,c+7\,d\,x}\,\left(5\,a^3-3\,a^2\,b+3\,a\,b^2-5\,b^3\right)}{d}+\frac{3\,{\mathrm{e}}^{3\,c+3\,d\,x}\,{\left(a+b\right)}^2\,\left(a-b\right)}{d}+\frac{3\,{\mathrm{e}}^{11\,c+11\,d\,x}\,{\left(a+b\right)}^2\,\left(a-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(85\,b^3+48\,a\,b^2\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{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+48\,a^2\,b+24\,a\,b^2+5\,b^3\right)}{64\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{4\,{\mathrm{e}}^{c+d\,x}\,\left(35\,b^3+6\,a\,b^2\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+576\,a^2\,b+600\,a\,b^2+203\,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+600\,a\,b^2+305\,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)}-\frac{{\mathrm{e}}^{c+d\,x}\,\left(24\,a^2\,b+168\,a\,b^2+145\,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)}","Not used",1,"(atan((exp(d*x)*exp(c)*(64*a^3*(d^2)^(1/2) + 5*b^3*(d^2)^(1/2) + 24*a*b^2*(d^2)^(1/2) + 48*a^2*b*(d^2)^(1/2)))/(d*(240*a*b^5 + 6144*a^5*b + 4096*a^6 + 25*b^6 + 1056*a^2*b^4 + 2944*a^3*b^3 + 5376*a^4*b^2)^(1/2)))*(240*a*b^5 + 6144*a^5*b + 4096*a^6 + 25*b^6 + 1056*a^2*b^4 + 2944*a^3*b^3 + 5376*a^4*b^2)^(1/2))/(64*(d^2)^(1/2)) - ((exp(c + d*x)*(a + b)^3)/(2*d) + (exp(13*c + 13*d*x)*(a + b)^3)/(2*d) - (3*exp(5*c + 5*d*x)*(a*b^2 + a^2*b - 5*a^3 - 5*b^3))/(2*d) - (3*exp(9*c + 9*d*x)*(a*b^2 + a^2*b - 5*a^3 - 5*b^3))/(2*d) + (2*exp(7*c + 7*d*x)*(3*a*b^2 - 3*a^2*b + 5*a^3 - 5*b^3))/d + (3*exp(3*c + 3*d*x)*(a + b)^2*(a - b))/d + (3*exp(11*c + 11*d*x)*(a + b)^2*(a - 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 + 85*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)) + (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)*(24*a*b^2 + 48*a^2*b + 64*a^3 + 5*b^3))/(64*d*(exp(2*c + 2*d*x) + 1)) - (4*exp(c + d*x)*(6*a*b^2 + 35*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)*(600*a*b^2 + 576*a^2*b + 144*a^3 + 203*b^3))/(96*d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1)) + (exp(c + d*x)*(600*a*b^2 + 288*a^2*b + 305*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)) - (exp(c + d*x)*(168*a*b^2 + 24*a^2*b + 145*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))","B"
104,1,1424,102,1.333241,"\text{Not used}","int((a + b*tanh(c + d*x)^2)^3/cosh(c + d*x)^4,x)","-\frac{\frac{4\,{\left(a+b\right)}^2\,\left(a-b\right)}{21\,d}+\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,{\left(a+b\right)}^3}{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{5\,{\mathrm{e}}^{8\,c+8\,d\,x}\,{\left(a+b\right)}^3}{9\,d}-\frac{-5\,a^3+a^2\,b+a\,b^2-5\,b^3}{21\,d}-\frac{10\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(-5\,a^3+a^2\,b+a\,b^2-5\,b^3\right)}{21\,d}+\frac{16\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(5\,a^3-3\,a^2\,b+3\,a\,b^2-5\,b^3\right)}{63\,d}+\frac{40\,{\mathrm{e}}^{6\,c+6\,d\,x}\,{\left(a+b\right)}^2\,\left(a-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{4\,{\left(a+b\right)}^2\,\left(a-b\right)}{21\,d}+\frac{2\,{\mathrm{e}}^{10\,c+10\,d\,x}\,{\left(a+b\right)}^3}{3\,d}-\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(-5\,a^3+a^2\,b+a\,b^2-5\,b^3\right)}{7\,d}-\frac{20\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(-5\,a^3+a^2\,b+a\,b^2-5\,b^3\right)}{21\,d}+\frac{16\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(5\,a^3-3\,a^2\,b+3\,a\,b^2-5\,b^3\right)}{21\,d}+\frac{20\,{\mathrm{e}}^{8\,c+8\,d\,x}\,{\left(a+b\right)}^2\,\left(a-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{16\,\left(5\,a^3-3\,a^2\,b+3\,a\,b^2-5\,b^3\right)}{315\,d}+\frac{4\,{\mathrm{e}}^{6\,c+6\,d\,x}\,{\left(a+b\right)}^3}{9\,d}-\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(-5\,a^3+a^2\,b+a\,b^2-5\,b^3\right)}{21\,d}+\frac{8\,{\mathrm{e}}^{4\,c+4\,d\,x}\,{\left(a+b\right)}^2\,\left(a-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{8\,{\mathrm{e}}^{2\,c+2\,d\,x}\,{\left(a+b\right)}^3}{9\,d}+\frac{8\,{\mathrm{e}}^{14\,c+14\,d\,x}\,{\left(a+b\right)}^3}{9\,d}-\frac{8\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(-5\,a^3+a^2\,b+a\,b^2-5\,b^3\right)}{3\,d}-\frac{8\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(-5\,a^3+a^2\,b+a\,b^2-5\,b^3\right)}{3\,d}+\frac{32\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(5\,a^3-3\,a^2\,b+3\,a\,b^2-5\,b^3\right)}{9\,d}+\frac{16\,{\mathrm{e}}^{4\,c+4\,d\,x}\,{\left(a+b\right)}^2\,\left(a-b\right)}{3\,d}+\frac{16\,{\mathrm{e}}^{12\,c+12\,d\,x}\,{\left(a+b\right)}^2\,\left(a-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{{\left(a+b\right)}^3}{9\,d}+\frac{7\,{\mathrm{e}}^{12\,c+12\,d\,x}\,{\left(a+b\right)}^3}{9\,d}-\frac{{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(-5\,a^3+a^2\,b+a\,b^2-5\,b^3\right)}{d}-\frac{5\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(-5\,a^3+a^2\,b+a\,b^2-5\,b^3\right)}{3\,d}+\frac{16\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(5\,a^3-3\,a^2\,b+3\,a\,b^2-5\,b^3\right)}{9\,d}+\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,{\left(a+b\right)}^2\,\left(a-b\right)}{3\,d}+\frac{4\,{\mathrm{e}}^{10\,c+10\,d\,x}\,{\left(a+b\right)}^2\,\left(a-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{{\mathrm{e}}^{4\,c+4\,d\,x}\,{\left(a+b\right)}^3}{3\,d}-\frac{-5\,a^3+a^2\,b+a\,b^2-5\,b^3}{21\,d}+\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,{\left(a+b\right)}^2\,\left(a-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{{\left(a+b\right)}^3}{9\,d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}","Not used",1,"- ((4*(a + b)^2*(a - b))/(21*d) + (2*exp(2*c + 2*d*x)*(a + b)^3)/(9*d))/(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1) - ((5*exp(8*c + 8*d*x)*(a + b)^3)/(9*d) - (a*b^2 + a^2*b - 5*a^3 - 5*b^3)/(21*d) - (10*exp(4*c + 4*d*x)*(a*b^2 + a^2*b - 5*a^3 - 5*b^3))/(21*d) + (16*exp(2*c + 2*d*x)*(3*a*b^2 - 3*a^2*b + 5*a^3 - 5*b^3))/(63*d) + (40*exp(6*c + 6*d*x)*(a + b)^2*(a - 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) - ((4*(a + b)^2*(a - b))/(21*d) + (2*exp(10*c + 10*d*x)*(a + b)^3)/(3*d) - (2*exp(2*c + 2*d*x)*(a*b^2 + a^2*b - 5*a^3 - 5*b^3))/(7*d) - (20*exp(6*c + 6*d*x)*(a*b^2 + a^2*b - 5*a^3 - 5*b^3))/(21*d) + (16*exp(4*c + 4*d*x)*(3*a*b^2 - 3*a^2*b + 5*a^3 - 5*b^3))/(21*d) + (20*exp(8*c + 8*d*x)*(a + b)^2*(a - 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) - ((16*(3*a*b^2 - 3*a^2*b + 5*a^3 - 5*b^3))/(315*d) + (4*exp(6*c + 6*d*x)*(a + b)^3)/(9*d) - (4*exp(2*c + 2*d*x)*(a*b^2 + a^2*b - 5*a^3 - 5*b^3))/(21*d) + (8*exp(4*c + 4*d*x)*(a + b)^2*(a - 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) - ((8*exp(2*c + 2*d*x)*(a + b)^3)/(9*d) + (8*exp(14*c + 14*d*x)*(a + b)^3)/(9*d) - (8*exp(6*c + 6*d*x)*(a*b^2 + a^2*b - 5*a^3 - 5*b^3))/(3*d) - (8*exp(10*c + 10*d*x)*(a*b^2 + a^2*b - 5*a^3 - 5*b^3))/(3*d) + (32*exp(8*c + 8*d*x)*(3*a*b^2 - 3*a^2*b + 5*a^3 - 5*b^3))/(9*d) + (16*exp(4*c + 4*d*x)*(a + b)^2*(a - b))/(3*d) + (16*exp(12*c + 12*d*x)*(a + b)^2*(a - 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) - ((a + b)^3/(9*d) + (7*exp(12*c + 12*d*x)*(a + b)^3)/(9*d) - (exp(4*c + 4*d*x)*(a*b^2 + a^2*b - 5*a^3 - 5*b^3))/d - (5*exp(8*c + 8*d*x)*(a*b^2 + a^2*b - 5*a^3 - 5*b^3))/(3*d) + (16*exp(6*c + 6*d*x)*(3*a*b^2 - 3*a^2*b + 5*a^3 - 5*b^3))/(9*d) + (4*exp(2*c + 2*d*x)*(a + b)^2*(a - b))/(3*d) + (4*exp(10*c + 10*d*x)*(a + b)^2*(a - 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) - ((exp(4*c + 4*d*x)*(a + b)^3)/(3*d) - (a*b^2 + a^2*b - 5*a^3 - 5*b^3)/(21*d) + (4*exp(2*c + 2*d*x)*(a + b)^2*(a - 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) - (a + b)^3/(9*d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1))","B"
105,1,967,120,1.930227,"\text{Not used}","int(cosh(c + d*x)^4/(a + b*tanh(c + d*x)^2),x)","\frac{x\,\left(3\,a^2+10\,a\,b+15\,b^2\right)}{8\,{\left(a+b\right)}^3}-\frac{{\mathrm{e}}^{-4\,c-4\,d\,x}}{64\,d\,\left(a+b\right)}+\frac{{\mathrm{e}}^{4\,c+4\,d\,x}}{64\,d\,\left(a+b\right)}+\frac{\mathrm{atan}\left(\left({\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\,\left(\frac{4\,b^3}{d\,{\left(a+b\right)}^5\,\sqrt{b^5}\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)}+\frac{\left(a-b\right)\,\left(a^4\,d\,\sqrt{b^5}-b^4\,d\,\sqrt{b^5}-2\,a\,b^3\,d\,\sqrt{b^5}+2\,a^3\,b\,d\,\sqrt{b^5}\right)}{b^3\,{\left(a+b\right)}^2\,\sqrt{a\,d^2\,{\left(a+b\right)}^6}\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)\,\sqrt{a^7\,d^2+6\,a^6\,b\,d^2+15\,a^5\,b^2\,d^2+20\,a^4\,b^3\,d^2+15\,a^3\,b^4\,d^2+6\,a^2\,b^5\,d^2+a\,b^6\,d^2}}\right)+\frac{\left(a-b\right)\,\left(a^4\,d\,\sqrt{b^5}+b^4\,d\,\sqrt{b^5}+4\,a\,b^3\,d\,\sqrt{b^5}+4\,a^3\,b\,d\,\sqrt{b^5}+6\,a^2\,b^2\,d\,\sqrt{b^5}\right)}{b^3\,{\left(a+b\right)}^2\,\sqrt{a\,d^2\,{\left(a+b\right)}^6}\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)\,\sqrt{a^7\,d^2+6\,a^6\,b\,d^2+15\,a^5\,b^2\,d^2+20\,a^4\,b^3\,d^2+15\,a^3\,b^4\,d^2+6\,a^2\,b^5\,d^2+a\,b^6\,d^2}}\right)\,\left(\frac{a^4\,\sqrt{a^7\,d^2+6\,a^6\,b\,d^2+15\,a^5\,b^2\,d^2+20\,a^4\,b^3\,d^2+15\,a^3\,b^4\,d^2+6\,a^2\,b^5\,d^2+a\,b^6\,d^2}}{2}+\frac{b^4\,\sqrt{a^7\,d^2+6\,a^6\,b\,d^2+15\,a^5\,b^2\,d^2+20\,a^4\,b^3\,d^2+15\,a^3\,b^4\,d^2+6\,a^2\,b^5\,d^2+a\,b^6\,d^2}}{2}+2\,a\,b^3\,\sqrt{a^7\,d^2+6\,a^6\,b\,d^2+15\,a^5\,b^2\,d^2+20\,a^4\,b^3\,d^2+15\,a^3\,b^4\,d^2+6\,a^2\,b^5\,d^2+a\,b^6\,d^2}+2\,a^3\,b\,\sqrt{a^7\,d^2+6\,a^6\,b\,d^2+15\,a^5\,b^2\,d^2+20\,a^4\,b^3\,d^2+15\,a^3\,b^4\,d^2+6\,a^2\,b^5\,d^2+a\,b^6\,d^2}+3\,a^2\,b^2\,\sqrt{a^7\,d^2+6\,a^6\,b\,d^2+15\,a^5\,b^2\,d^2+20\,a^4\,b^3\,d^2+15\,a^3\,b^4\,d^2+6\,a^2\,b^5\,d^2+a\,b^6\,d^2}\right)\right)\,\sqrt{b^5}}{\sqrt{a^7\,d^2+6\,a^6\,b\,d^2+15\,a^5\,b^2\,d^2+20\,a^4\,b^3\,d^2+15\,a^3\,b^4\,d^2+6\,a^2\,b^5\,d^2+a\,b^6\,d^2}}-\frac{{\mathrm{e}}^{-2\,c-2\,d\,x}\,\left(a+2\,b\right)}{8\,d\,{\left(a+b\right)}^2}+\frac{{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a+2\,b\right)}{8\,d\,{\left(a+b\right)}^2}","Not used",1,"(x*(10*a*b + 3*a^2 + 15*b^2))/(8*(a + b)^3) - exp(- 4*c - 4*d*x)/(64*d*(a + b)) + exp(4*c + 4*d*x)/(64*d*(a + b)) + (atan((exp(2*c)*exp(2*d*x)*((4*b^3)/(d*(a + b)^5*(b^5)^(1/2)*(3*a*b^2 + 3*a^2*b + a^3 + b^3)) + ((a - b)*(a^4*d*(b^5)^(1/2) - b^4*d*(b^5)^(1/2) - 2*a*b^3*d*(b^5)^(1/2) + 2*a^3*b*d*(b^5)^(1/2)))/(b^3*(a + b)^2*(a*d^2*(a + b)^6)^(1/2)*(3*a*b^2 + 3*a^2*b + a^3 + b^3)*(a^7*d^2 + a*b^6*d^2 + 6*a^6*b*d^2 + 6*a^2*b^5*d^2 + 15*a^3*b^4*d^2 + 20*a^4*b^3*d^2 + 15*a^5*b^2*d^2)^(1/2))) + ((a - b)*(a^4*d*(b^5)^(1/2) + b^4*d*(b^5)^(1/2) + 4*a*b^3*d*(b^5)^(1/2) + 4*a^3*b*d*(b^5)^(1/2) + 6*a^2*b^2*d*(b^5)^(1/2)))/(b^3*(a + b)^2*(a*d^2*(a + b)^6)^(1/2)*(3*a*b^2 + 3*a^2*b + a^3 + b^3)*(a^7*d^2 + a*b^6*d^2 + 6*a^6*b*d^2 + 6*a^2*b^5*d^2 + 15*a^3*b^4*d^2 + 20*a^4*b^3*d^2 + 15*a^5*b^2*d^2)^(1/2)))*((a^4*(a^7*d^2 + a*b^6*d^2 + 6*a^6*b*d^2 + 6*a^2*b^5*d^2 + 15*a^3*b^4*d^2 + 20*a^4*b^3*d^2 + 15*a^5*b^2*d^2)^(1/2))/2 + (b^4*(a^7*d^2 + a*b^6*d^2 + 6*a^6*b*d^2 + 6*a^2*b^5*d^2 + 15*a^3*b^4*d^2 + 20*a^4*b^3*d^2 + 15*a^5*b^2*d^2)^(1/2))/2 + 2*a*b^3*(a^7*d^2 + a*b^6*d^2 + 6*a^6*b*d^2 + 6*a^2*b^5*d^2 + 15*a^3*b^4*d^2 + 20*a^4*b^3*d^2 + 15*a^5*b^2*d^2)^(1/2) + 2*a^3*b*(a^7*d^2 + a*b^6*d^2 + 6*a^6*b*d^2 + 6*a^2*b^5*d^2 + 15*a^3*b^4*d^2 + 20*a^4*b^3*d^2 + 15*a^5*b^2*d^2)^(1/2) + 3*a^2*b^2*(a^7*d^2 + a*b^6*d^2 + 6*a^6*b*d^2 + 6*a^2*b^5*d^2 + 15*a^3*b^4*d^2 + 20*a^4*b^3*d^2 + 15*a^5*b^2*d^2)^(1/2)))*(b^5)^(1/2))/(a^7*d^2 + a*b^6*d^2 + 6*a^6*b*d^2 + 6*a^2*b^5*d^2 + 15*a^3*b^4*d^2 + 20*a^4*b^3*d^2 + 15*a^5*b^2*d^2)^(1/2) - (exp(- 2*c - 2*d*x)*(a + 2*b))/(8*d*(a + b)^2) + (exp(2*c + 2*d*x)*(a + 2*b))/(8*d*(a + b)^2)","B"
106,1,2194,80,2.876993,"\text{Not used}","int(cosh(c + d*x)^3/(a + b*tanh(c + d*x)^2),x)","\frac{{\mathrm{e}}^{3\,c+3\,d\,x}}{24\,d\,\left(a+b\right)}-\frac{{\mathrm{e}}^{-3\,c-3\,d\,x}}{24\,d\,\left(a+b\right)}+\frac{\sqrt{b^4}\,\left(2\,\mathrm{atan}\left(\left({\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(\frac{4\,\left(10\,a^2\,d\,{\left(b^4\right)}^{5/2}+12\,a^6\,d\,{\left(b^4\right)}^{3/2}+2\,a\,b^9\,d\,\sqrt{b^4}+10\,a^3\,b^3\,d\,{\left(b^4\right)}^{3/2}+2\,a^2\,b^8\,d\,\sqrt{b^4}+20\,a^3\,b^7\,d\,\sqrt{b^4}+40\,a^4\,b^6\,d\,\sqrt{b^4}+30\,a^5\,b^5\,d\,\sqrt{b^4}+2\,a^7\,b^3\,d\,\sqrt{b^4}\right)}{a\,b^5\,{\left(a+b\right)}^5\,\sqrt{a\,d^2\,{\left(a+b\right)}^5}\,\left(a^4+4\,a^3\,b+6\,a^2\,b^2+4\,a\,b^3+b^4\right)\,\left(a^5+5\,a^4\,b+10\,a^3\,b^2+10\,a^2\,b^3+5\,a\,b^4+b^5\right)\,\sqrt{a^6\,d^2+5\,a^5\,b\,d^2+10\,a^4\,b^2\,d^2+10\,a^3\,b^3\,d^2+5\,a^2\,b^4\,d^2+a\,b^5\,d^2}}-\frac{2\,\left(b^9\,\sqrt{a^6\,d^2+5\,a^5\,b\,d^2+10\,a^4\,b^2\,d^2+10\,a^3\,b^3\,d^2+5\,a^2\,b^4\,d^2+a\,b^5\,d^2}+4\,a\,b^8\,\sqrt{a^6\,d^2+5\,a^5\,b\,d^2+10\,a^4\,b^2\,d^2+10\,a^3\,b^3\,d^2+5\,a^2\,b^4\,d^2+a\,b^5\,d^2}+6\,a^2\,b^7\,\sqrt{a^6\,d^2+5\,a^5\,b\,d^2+10\,a^4\,b^2\,d^2+10\,a^3\,b^3\,d^2+5\,a^2\,b^4\,d^2+a\,b^5\,d^2}+4\,a^3\,b^6\,\sqrt{a^6\,d^2+5\,a^5\,b\,d^2+10\,a^4\,b^2\,d^2+10\,a^3\,b^3\,d^2+5\,a^2\,b^4\,d^2+a\,b^5\,d^2}+a^4\,b^5\,\sqrt{a^6\,d^2+5\,a^5\,b\,d^2+10\,a^4\,b^2\,d^2+10\,a^3\,b^3\,d^2+5\,a^2\,b^4\,d^2+a\,b^5\,d^2}\right)}{a^2\,b^3\,d\,{\left(a+b\right)}^7\,\sqrt{b^4}\,\left(a^4+4\,a^3\,b+6\,a^2\,b^2+4\,a\,b^3+b^4\right)\,\left(a^5+5\,a^4\,b+10\,a^3\,b^2+10\,a^2\,b^3+5\,a\,b^4+b^5\right)\,\sqrt{a^6\,d^2+5\,a^5\,b\,d^2+10\,a^4\,b^2\,d^2+10\,a^3\,b^3\,d^2+5\,a^2\,b^4\,d^2+a\,b^5\,d^2}}\right)+\frac{2\,{\mathrm{e}}^{3\,c}\,{\mathrm{e}}^{3\,d\,x}\,\left(b^9\,\sqrt{a^6\,d^2+5\,a^5\,b\,d^2+10\,a^4\,b^2\,d^2+10\,a^3\,b^3\,d^2+5\,a^2\,b^4\,d^2+a\,b^5\,d^2}+4\,a\,b^8\,\sqrt{a^6\,d^2+5\,a^5\,b\,d^2+10\,a^4\,b^2\,d^2+10\,a^3\,b^3\,d^2+5\,a^2\,b^4\,d^2+a\,b^5\,d^2}+6\,a^2\,b^7\,\sqrt{a^6\,d^2+5\,a^5\,b\,d^2+10\,a^4\,b^2\,d^2+10\,a^3\,b^3\,d^2+5\,a^2\,b^4\,d^2+a\,b^5\,d^2}+4\,a^3\,b^6\,\sqrt{a^6\,d^2+5\,a^5\,b\,d^2+10\,a^4\,b^2\,d^2+10\,a^3\,b^3\,d^2+5\,a^2\,b^4\,d^2+a\,b^5\,d^2}+a^4\,b^5\,\sqrt{a^6\,d^2+5\,a^5\,b\,d^2+10\,a^4\,b^2\,d^2+10\,a^3\,b^3\,d^2+5\,a^2\,b^4\,d^2+a\,b^5\,d^2}\right)}{a^2\,b^3\,d\,{\left(a+b\right)}^7\,\sqrt{b^4}\,\left(a^4+4\,a^3\,b+6\,a^2\,b^2+4\,a\,b^3+b^4\right)\,\left(a^5+5\,a^4\,b+10\,a^3\,b^2+10\,a^2\,b^3+5\,a\,b^4+b^5\right)\,\sqrt{a^6\,d^2+5\,a^5\,b\,d^2+10\,a^4\,b^2\,d^2+10\,a^3\,b^3\,d^2+5\,a^2\,b^4\,d^2+a\,b^5\,d^2}}\right)\,\left(\frac{a^{11}\,\sqrt{a^6\,d^2+5\,a^5\,b\,d^2+10\,a^4\,b^2\,d^2+10\,a^3\,b^3\,d^2+5\,a^2\,b^4\,d^2+a\,b^5\,d^2}}{4}+\frac{a\,b^{10}\,\sqrt{a^6\,d^2+5\,a^5\,b\,d^2+10\,a^4\,b^2\,d^2+10\,a^3\,b^3\,d^2+5\,a^2\,b^4\,d^2+a\,b^5\,d^2}}{4}+\frac{5\,a^{10}\,b\,\sqrt{a^6\,d^2+5\,a^5\,b\,d^2+10\,a^4\,b^2\,d^2+10\,a^3\,b^3\,d^2+5\,a^2\,b^4\,d^2+a\,b^5\,d^2}}{2}+\frac{5\,a^2\,b^9\,\sqrt{a^6\,d^2+5\,a^5\,b\,d^2+10\,a^4\,b^2\,d^2+10\,a^3\,b^3\,d^2+5\,a^2\,b^4\,d^2+a\,b^5\,d^2}}{2}+\frac{45\,a^3\,b^8\,\sqrt{a^6\,d^2+5\,a^5\,b\,d^2+10\,a^4\,b^2\,d^2+10\,a^3\,b^3\,d^2+5\,a^2\,b^4\,d^2+a\,b^5\,d^2}}{4}+30\,a^4\,b^7\,\sqrt{a^6\,d^2+5\,a^5\,b\,d^2+10\,a^4\,b^2\,d^2+10\,a^3\,b^3\,d^2+5\,a^2\,b^4\,d^2+a\,b^5\,d^2}+\frac{105\,a^5\,b^6\,\sqrt{a^6\,d^2+5\,a^5\,b\,d^2+10\,a^4\,b^2\,d^2+10\,a^3\,b^3\,d^2+5\,a^2\,b^4\,d^2+a\,b^5\,d^2}}{2}+63\,a^6\,b^5\,\sqrt{a^6\,d^2+5\,a^5\,b\,d^2+10\,a^4\,b^2\,d^2+10\,a^3\,b^3\,d^2+5\,a^2\,b^4\,d^2+a\,b^5\,d^2}+\frac{105\,a^7\,b^4\,\sqrt{a^6\,d^2+5\,a^5\,b\,d^2+10\,a^4\,b^2\,d^2+10\,a^3\,b^3\,d^2+5\,a^2\,b^4\,d^2+a\,b^5\,d^2}}{2}+30\,a^8\,b^3\,\sqrt{a^6\,d^2+5\,a^5\,b\,d^2+10\,a^4\,b^2\,d^2+10\,a^3\,b^3\,d^2+5\,a^2\,b^4\,d^2+a\,b^5\,d^2}+\frac{45\,a^9\,b^2\,\sqrt{a^6\,d^2+5\,a^5\,b\,d^2+10\,a^4\,b^2\,d^2+10\,a^3\,b^3\,d^2+5\,a^2\,b^4\,d^2+a\,b^5\,d^2}}{4}\right)\right)+2\,\mathrm{atan}\left(\frac{b^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\sqrt{a\,d^2\,{\left(a+b\right)}^5}}{2\,a\,d\,{\left(a+b\right)}^2\,\sqrt{b^4}}\right)\right)}{2\,\sqrt{a^6\,d^2+5\,a^5\,b\,d^2+10\,a^4\,b^2\,d^2+10\,a^3\,b^3\,d^2+5\,a^2\,b^4\,d^2+a\,b^5\,d^2}}-\frac{{\mathrm{e}}^{-c-d\,x}\,\left(3\,a+7\,b\right)}{8\,d\,{\left(a+b\right)}^2}+\frac{{\mathrm{e}}^{c+d\,x}\,\left(3\,a+7\,b\right)}{8\,d\,{\left(a+b\right)}^2}","Not used",1,"exp(3*c + 3*d*x)/(24*d*(a + b)) - exp(- 3*c - 3*d*x)/(24*d*(a + b)) + ((b^4)^(1/2)*(2*atan((exp(d*x)*exp(c)*((4*(10*a^2*d*(b^4)^(5/2) + 12*a^6*d*(b^4)^(3/2) + 2*a*b^9*d*(b^4)^(1/2) + 10*a^3*b^3*d*(b^4)^(3/2) + 2*a^2*b^8*d*(b^4)^(1/2) + 20*a^3*b^7*d*(b^4)^(1/2) + 40*a^4*b^6*d*(b^4)^(1/2) + 30*a^5*b^5*d*(b^4)^(1/2) + 2*a^7*b^3*d*(b^4)^(1/2)))/(a*b^5*(a + b)^5*(a*d^2*(a + b)^5)^(1/2)*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2)*(5*a*b^4 + 5*a^4*b + a^5 + b^5 + 10*a^2*b^3 + 10*a^3*b^2)*(a^6*d^2 + a*b^5*d^2 + 5*a^5*b*d^2 + 5*a^2*b^4*d^2 + 10*a^3*b^3*d^2 + 10*a^4*b^2*d^2)^(1/2)) - (2*(b^9*(a^6*d^2 + a*b^5*d^2 + 5*a^5*b*d^2 + 5*a^2*b^4*d^2 + 10*a^3*b^3*d^2 + 10*a^4*b^2*d^2)^(1/2) + 4*a*b^8*(a^6*d^2 + a*b^5*d^2 + 5*a^5*b*d^2 + 5*a^2*b^4*d^2 + 10*a^3*b^3*d^2 + 10*a^4*b^2*d^2)^(1/2) + 6*a^2*b^7*(a^6*d^2 + a*b^5*d^2 + 5*a^5*b*d^2 + 5*a^2*b^4*d^2 + 10*a^3*b^3*d^2 + 10*a^4*b^2*d^2)^(1/2) + 4*a^3*b^6*(a^6*d^2 + a*b^5*d^2 + 5*a^5*b*d^2 + 5*a^2*b^4*d^2 + 10*a^3*b^3*d^2 + 10*a^4*b^2*d^2)^(1/2) + a^4*b^5*(a^6*d^2 + a*b^5*d^2 + 5*a^5*b*d^2 + 5*a^2*b^4*d^2 + 10*a^3*b^3*d^2 + 10*a^4*b^2*d^2)^(1/2)))/(a^2*b^3*d*(a + b)^7*(b^4)^(1/2)*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2)*(5*a*b^4 + 5*a^4*b + a^5 + b^5 + 10*a^2*b^3 + 10*a^3*b^2)*(a^6*d^2 + a*b^5*d^2 + 5*a^5*b*d^2 + 5*a^2*b^4*d^2 + 10*a^3*b^3*d^2 + 10*a^4*b^2*d^2)^(1/2))) + (2*exp(3*c)*exp(3*d*x)*(b^9*(a^6*d^2 + a*b^5*d^2 + 5*a^5*b*d^2 + 5*a^2*b^4*d^2 + 10*a^3*b^3*d^2 + 10*a^4*b^2*d^2)^(1/2) + 4*a*b^8*(a^6*d^2 + a*b^5*d^2 + 5*a^5*b*d^2 + 5*a^2*b^4*d^2 + 10*a^3*b^3*d^2 + 10*a^4*b^2*d^2)^(1/2) + 6*a^2*b^7*(a^6*d^2 + a*b^5*d^2 + 5*a^5*b*d^2 + 5*a^2*b^4*d^2 + 10*a^3*b^3*d^2 + 10*a^4*b^2*d^2)^(1/2) + 4*a^3*b^6*(a^6*d^2 + a*b^5*d^2 + 5*a^5*b*d^2 + 5*a^2*b^4*d^2 + 10*a^3*b^3*d^2 + 10*a^4*b^2*d^2)^(1/2) + a^4*b^5*(a^6*d^2 + a*b^5*d^2 + 5*a^5*b*d^2 + 5*a^2*b^4*d^2 + 10*a^3*b^3*d^2 + 10*a^4*b^2*d^2)^(1/2)))/(a^2*b^3*d*(a + b)^7*(b^4)^(1/2)*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2)*(5*a*b^4 + 5*a^4*b + a^5 + b^5 + 10*a^2*b^3 + 10*a^3*b^2)*(a^6*d^2 + a*b^5*d^2 + 5*a^5*b*d^2 + 5*a^2*b^4*d^2 + 10*a^3*b^3*d^2 + 10*a^4*b^2*d^2)^(1/2)))*((a^11*(a^6*d^2 + a*b^5*d^2 + 5*a^5*b*d^2 + 5*a^2*b^4*d^2 + 10*a^3*b^3*d^2 + 10*a^4*b^2*d^2)^(1/2))/4 + (a*b^10*(a^6*d^2 + a*b^5*d^2 + 5*a^5*b*d^2 + 5*a^2*b^4*d^2 + 10*a^3*b^3*d^2 + 10*a^4*b^2*d^2)^(1/2))/4 + (5*a^10*b*(a^6*d^2 + a*b^5*d^2 + 5*a^5*b*d^2 + 5*a^2*b^4*d^2 + 10*a^3*b^3*d^2 + 10*a^4*b^2*d^2)^(1/2))/2 + (5*a^2*b^9*(a^6*d^2 + a*b^5*d^2 + 5*a^5*b*d^2 + 5*a^2*b^4*d^2 + 10*a^3*b^3*d^2 + 10*a^4*b^2*d^2)^(1/2))/2 + (45*a^3*b^8*(a^6*d^2 + a*b^5*d^2 + 5*a^5*b*d^2 + 5*a^2*b^4*d^2 + 10*a^3*b^3*d^2 + 10*a^4*b^2*d^2)^(1/2))/4 + 30*a^4*b^7*(a^6*d^2 + a*b^5*d^2 + 5*a^5*b*d^2 + 5*a^2*b^4*d^2 + 10*a^3*b^3*d^2 + 10*a^4*b^2*d^2)^(1/2) + (105*a^5*b^6*(a^6*d^2 + a*b^5*d^2 + 5*a^5*b*d^2 + 5*a^2*b^4*d^2 + 10*a^3*b^3*d^2 + 10*a^4*b^2*d^2)^(1/2))/2 + 63*a^6*b^5*(a^6*d^2 + a*b^5*d^2 + 5*a^5*b*d^2 + 5*a^2*b^4*d^2 + 10*a^3*b^3*d^2 + 10*a^4*b^2*d^2)^(1/2) + (105*a^7*b^4*(a^6*d^2 + a*b^5*d^2 + 5*a^5*b*d^2 + 5*a^2*b^4*d^2 + 10*a^3*b^3*d^2 + 10*a^4*b^2*d^2)^(1/2))/2 + 30*a^8*b^3*(a^6*d^2 + a*b^5*d^2 + 5*a^5*b*d^2 + 5*a^2*b^4*d^2 + 10*a^3*b^3*d^2 + 10*a^4*b^2*d^2)^(1/2) + (45*a^9*b^2*(a^6*d^2 + a*b^5*d^2 + 5*a^5*b*d^2 + 5*a^2*b^4*d^2 + 10*a^3*b^3*d^2 + 10*a^4*b^2*d^2)^(1/2))/4)) + 2*atan((b^2*exp(d*x)*exp(c)*(a*d^2*(a + b)^5)^(1/2))/(2*a*d*(a + b)^2*(b^4)^(1/2)))))/(2*(a^6*d^2 + a*b^5*d^2 + 5*a^5*b*d^2 + 5*a^2*b^4*d^2 + 10*a^3*b^3*d^2 + 10*a^4*b^2*d^2)^(1/2)) - (exp(- c - d*x)*(3*a + 7*b))/(8*d*(a + b)^2) + (exp(c + d*x)*(3*a + 7*b))/(8*d*(a + b)^2)","B"
107,1,880,77,1.933198,"\text{Not used}","int(cosh(c + d*x)^2/(a + b*tanh(c + d*x)^2),x)","\frac{{\mathrm{e}}^{2\,c+2\,d\,x}}{8\,d\,\left(a+b\right)}-\frac{{\mathrm{e}}^{-2\,c-2\,d\,x}}{8\,d\,\left(a+b\right)}+\frac{x\,\left(a+3\,b\right)}{2\,{\left(a+b\right)}^2}+\frac{\mathrm{atan}\left(\left({\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\,\left(\frac{2\,\left(2\,b^3\,\sqrt{a^5\,d^2+4\,a^4\,b\,d^2+6\,a^3\,b^2\,d^2+4\,a^2\,b^3\,d^2+a\,b^4\,d^2}+2\,a\,b^2\,\sqrt{a^5\,d^2+4\,a^4\,b\,d^2+6\,a^3\,b^2\,d^2+4\,a^2\,b^3\,d^2+a\,b^4\,d^2}\right)}{d\,{\left(a+b\right)}^5\,\sqrt{b^3}\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)\,\sqrt{a^5\,d^2+4\,a^4\,b\,d^2+6\,a^3\,b^2\,d^2+4\,a^2\,b^3\,d^2+a\,b^4\,d^2}}-\frac{\left(a-b\right)\,\left(2\,a\,d\,{\left(b^3\right)}^{3/2}+b\,d\,{\left(b^3\right)}^{3/2}-a^4\,d\,\sqrt{b^3}-2\,a^3\,b\,d\,\sqrt{b^3}\right)}{b^2\,{\left(a+b\right)}^3\,\sqrt{a\,d^2\,{\left(a+b\right)}^4}\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)\,\sqrt{a^5\,d^2+4\,a^4\,b\,d^2+6\,a^3\,b^2\,d^2+4\,a^2\,b^3\,d^2+a\,b^4\,d^2}}\right)+\frac{\left(a-b\right)\,\left(4\,a\,d\,{\left(b^3\right)}^{3/2}+b\,d\,{\left(b^3\right)}^{3/2}+a^4\,d\,\sqrt{b^3}+4\,a^3\,b\,d\,\sqrt{b^3}+6\,a^2\,b^2\,d\,\sqrt{b^3}\right)}{b^2\,{\left(a+b\right)}^3\,\sqrt{a\,d^2\,{\left(a+b\right)}^4}\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)\,\sqrt{a^5\,d^2+4\,a^4\,b\,d^2+6\,a^3\,b^2\,d^2+4\,a^2\,b^3\,d^2+a\,b^4\,d^2}}\right)\,\left(\frac{a^4\,\sqrt{a^5\,d^2+4\,a^4\,b\,d^2+6\,a^3\,b^2\,d^2+4\,a^2\,b^3\,d^2+a\,b^4\,d^2}}{2}+\frac{b^4\,\sqrt{a^5\,d^2+4\,a^4\,b\,d^2+6\,a^3\,b^2\,d^2+4\,a^2\,b^3\,d^2+a\,b^4\,d^2}}{2}+3\,a^2\,b^2\,\sqrt{a^5\,d^2+4\,a^4\,b\,d^2+6\,a^3\,b^2\,d^2+4\,a^2\,b^3\,d^2+a\,b^4\,d^2}+2\,a\,b^3\,\sqrt{a^5\,d^2+4\,a^4\,b\,d^2+6\,a^3\,b^2\,d^2+4\,a^2\,b^3\,d^2+a\,b^4\,d^2}+2\,a^3\,b\,\sqrt{a^5\,d^2+4\,a^4\,b\,d^2+6\,a^3\,b^2\,d^2+4\,a^2\,b^3\,d^2+a\,b^4\,d^2}\right)\right)\,\sqrt{b^3}}{\sqrt{a^5\,d^2+4\,a^4\,b\,d^2+6\,a^3\,b^2\,d^2+4\,a^2\,b^3\,d^2+a\,b^4\,d^2}}","Not used",1,"exp(2*c + 2*d*x)/(8*d*(a + b)) - exp(- 2*c - 2*d*x)/(8*d*(a + b)) + (x*(a + 3*b))/(2*(a + b)^2) + (atan((exp(2*c)*exp(2*d*x)*((2*(2*b^3*(a^5*d^2 + a*b^4*d^2 + 4*a^4*b*d^2 + 4*a^2*b^3*d^2 + 6*a^3*b^2*d^2)^(1/2) + 2*a*b^2*(a^5*d^2 + a*b^4*d^2 + 4*a^4*b*d^2 + 4*a^2*b^3*d^2 + 6*a^3*b^2*d^2)^(1/2)))/(d*(a + b)^5*(b^3)^(1/2)*(3*a*b^2 + 3*a^2*b + a^3 + b^3)*(a^5*d^2 + a*b^4*d^2 + 4*a^4*b*d^2 + 4*a^2*b^3*d^2 + 6*a^3*b^2*d^2)^(1/2)) - ((a - b)*(2*a*d*(b^3)^(3/2) + b*d*(b^3)^(3/2) - a^4*d*(b^3)^(1/2) - 2*a^3*b*d*(b^3)^(1/2)))/(b^2*(a + b)^3*(a*d^2*(a + b)^4)^(1/2)*(3*a*b^2 + 3*a^2*b + a^3 + b^3)*(a^5*d^2 + a*b^4*d^2 + 4*a^4*b*d^2 + 4*a^2*b^3*d^2 + 6*a^3*b^2*d^2)^(1/2))) + ((a - b)*(4*a*d*(b^3)^(3/2) + b*d*(b^3)^(3/2) + a^4*d*(b^3)^(1/2) + 4*a^3*b*d*(b^3)^(1/2) + 6*a^2*b^2*d*(b^3)^(1/2)))/(b^2*(a + b)^3*(a*d^2*(a + b)^4)^(1/2)*(3*a*b^2 + 3*a^2*b + a^3 + b^3)*(a^5*d^2 + a*b^4*d^2 + 4*a^4*b*d^2 + 4*a^2*b^3*d^2 + 6*a^3*b^2*d^2)^(1/2)))*((a^4*(a^5*d^2 + a*b^4*d^2 + 4*a^4*b*d^2 + 4*a^2*b^3*d^2 + 6*a^3*b^2*d^2)^(1/2))/2 + (b^4*(a^5*d^2 + a*b^4*d^2 + 4*a^4*b*d^2 + 4*a^2*b^3*d^2 + 6*a^3*b^2*d^2)^(1/2))/2 + 3*a^2*b^2*(a^5*d^2 + a*b^4*d^2 + 4*a^4*b*d^2 + 4*a^2*b^3*d^2 + 6*a^3*b^2*d^2)^(1/2) + 2*a*b^3*(a^5*d^2 + a*b^4*d^2 + 4*a^4*b*d^2 + 4*a^2*b^3*d^2 + 6*a^3*b^2*d^2)^(1/2) + 2*a^3*b*(a^5*d^2 + a*b^4*d^2 + 4*a^4*b*d^2 + 4*a^2*b^3*d^2 + 6*a^3*b^2*d^2)^(1/2)))*(b^3)^(1/2))/(a^5*d^2 + a*b^4*d^2 + 4*a^4*b*d^2 + 4*a^2*b^3*d^2 + 6*a^3*b^2*d^2)^(1/2)","B"
108,1,154,53,1.676369,"\text{Not used}","int(cosh(c + d*x)/(a + b*tanh(c + d*x)^2),x)","\frac{{\mathrm{e}}^{c+d\,x}}{2\,d\,\left(a+b\right)}-\frac{{\mathrm{e}}^{-c-d\,x}}{2\,d\,\left(a+b\right)}-\frac{b\,\ln\left(\sqrt{-a}\,\sqrt{a+b}+2\,a\,{\mathrm{e}}^{c+d\,x}-\sqrt{-a}\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\sqrt{a+b}\right)}{2\,\sqrt{-a}\,d\,{\left(a+b\right)}^{3/2}}+\frac{b\,\ln\left(2\,a\,{\mathrm{e}}^{c+d\,x}-\sqrt{-a}\,\sqrt{a+b}+\sqrt{-a}\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\sqrt{a+b}\right)}{2\,\sqrt{-a}\,d\,{\left(a+b\right)}^{3/2}}","Not used",1,"exp(c + d*x)/(2*d*(a + b)) - exp(- c - d*x)/(2*d*(a + b)) - (b*log((-a)^(1/2)*(a + b)^(1/2) + 2*a*exp(c + d*x) - (-a)^(1/2)*exp(2*c + 2*d*x)*(a + b)^(1/2)))/(2*(-a)^(1/2)*d*(a + b)^(3/2)) + (b*log(2*a*exp(c + d*x) - (-a)^(1/2)*(a + b)^(1/2) + (-a)^(1/2)*exp(2*c + 2*d*x)*(a + b)^(1/2)))/(2*(-a)^(1/2)*d*(a + b)^(3/2))","B"
109,1,147,36,0.335280,"\text{Not used}","int(1/(cosh(c + d*x)*(a + b*tanh(c + d*x)^2)),x)","\frac{\mathrm{atan}\left(\frac{4\,a^2\,d^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c-{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\sqrt{a^2\,d^2+b\,a\,d^2}\,\sqrt{a\,d^2\,\left(a+b\right)}+{\mathrm{e}}^{3\,c}\,{\mathrm{e}}^{3\,d\,x}\,\sqrt{a^2\,d^2+b\,a\,d^2}\,\sqrt{a\,d^2\,\left(a+b\right)}}{2\,a\,d\,\sqrt{a\,d^2\,\left(a+b\right)}}\right)+\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\sqrt{a\,d^2\,\left(a+b\right)}}{2\,a\,d}\right)}{\sqrt{a^2\,d^2+b\,a\,d^2}}","Not used",1,"(atan((4*a^2*d^2*exp(d*x)*exp(c) - exp(d*x)*exp(c)*(a^2*d^2 + a*b*d^2)^(1/2)*(a*d^2*(a + b))^(1/2) + exp(3*c)*exp(3*d*x)*(a^2*d^2 + a*b*d^2)^(1/2)*(a*d^2*(a + b))^(1/2))/(2*a*d*(a*d^2*(a + b))^(1/2))) + atan((exp(d*x)*exp(c)*(a*d^2*(a + b))^(1/2))/(2*a*d)))/(a^2*d^2 + a*b*d^2)^(1/2)","B"
110,1,81,32,1.458510,"\text{Not used}","int(1/(cosh(c + d*x)^2*(a + b*tanh(c + d*x)^2)),x)","\frac{\mathrm{atan}\left(\frac{a\,\sqrt{a\,b\,d^2}-b\,\sqrt{a\,b\,d^2}+a\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\,\sqrt{a\,b\,d^2}+b\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\,\sqrt{a\,b\,d^2}}{2\,a\,b\,d}\right)}{\sqrt{a\,b\,d^2}}","Not used",1,"atan((a*(a*b*d^2)^(1/2) - b*(a*b*d^2)^(1/2) + a*exp(2*c)*exp(2*d*x)*(a*b*d^2)^(1/2) + b*exp(2*c)*exp(2*d*x)*(a*b*d^2)^(1/2))/(2*a*b*d))/(a*b*d^2)^(1/2)","B"
111,1,449,55,1.704536,"\text{Not used}","int(1/(cosh(c + d*x)^3*(a + b*tanh(c + d*x)^2)),x)","\frac{\sqrt{a+b}\,\left(2\,\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\sqrt{a+b}\,\sqrt{a\,b^2\,d^2}}{2\,a\,b\,d}\right)-2\,\mathrm{atan}\left(\frac{\left({\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(\frac{64\,\left(2\,a\,b^2\,d\,\sqrt{a+b}-6\,a^2\,b\,d\,\sqrt{a+b}\right)}{a^3\,b^3\,d^2\,{\left(a+b\right)}^2\,\left(a^2+2\,a\,b+b^2\right)}+\frac{32\,\left(3\,a^2\,\sqrt{a\,b^2\,d^2}-b^2\,\sqrt{a\,b^2\,d^2}+2\,a\,b\,\sqrt{a\,b^2\,d^2}\right)}{a^3\,b^2\,d\,{\left(a+b\right)}^{3/2}\,\left(a^2+2\,a\,b+b^2\right)\,\sqrt{a\,b^2\,d^2}}\right)-\frac{32\,{\mathrm{e}}^{3\,c}\,{\mathrm{e}}^{3\,d\,x}\,\left(3\,a^2\,\sqrt{a\,b^2\,d^2}-b^2\,\sqrt{a\,b^2\,d^2}+2\,a\,b\,\sqrt{a\,b^2\,d^2}\right)}{a^3\,b^2\,d\,{\left(a+b\right)}^{3/2}\,\left(a^2+2\,a\,b+b^2\right)\,\sqrt{a\,b^2\,d^2}}\right)\,\left(a^4\,b\,\left(a+b\right)\,\sqrt{a\,b^2\,d^2}+a^2\,b^3\,\left(a+b\right)\,\sqrt{a\,b^2\,d^2}+2\,a^3\,b^2\,\left(a+b\right)\,\sqrt{a\,b^2\,d^2}\right)}{192\,a-64\,b}\right)\right)}{2\,\sqrt{a\,b^2\,d^2}}-\frac{2\,\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(9\,a^2\,\sqrt{b^2\,d^2}+b^2\,\sqrt{b^2\,d^2}-6\,a\,b\,\sqrt{b^2\,d^2}\right)}{9\,d\,a^2\,b-6\,d\,a\,b^2+d\,b^3}\right)}{\sqrt{b^2\,d^2}}","Not used",1,"((a + b)^(1/2)*(2*atan((exp(d*x)*exp(c)*(a + b)^(1/2)*(a*b^2*d^2)^(1/2))/(2*a*b*d)) - 2*atan(((exp(d*x)*exp(c)*((64*(2*a*b^2*d*(a + b)^(1/2) - 6*a^2*b*d*(a + b)^(1/2)))/(a^3*b^3*d^2*(a + b)^2*(2*a*b + a^2 + b^2)) + (32*(3*a^2*(a*b^2*d^2)^(1/2) - b^2*(a*b^2*d^2)^(1/2) + 2*a*b*(a*b^2*d^2)^(1/2)))/(a^3*b^2*d*(a + b)^(3/2)*(2*a*b + a^2 + b^2)*(a*b^2*d^2)^(1/2))) - (32*exp(3*c)*exp(3*d*x)*(3*a^2*(a*b^2*d^2)^(1/2) - b^2*(a*b^2*d^2)^(1/2) + 2*a*b*(a*b^2*d^2)^(1/2)))/(a^3*b^2*d*(a + b)^(3/2)*(2*a*b + a^2 + b^2)*(a*b^2*d^2)^(1/2)))*(a^4*b*(a + b)*(a*b^2*d^2)^(1/2) + a^2*b^3*(a + b)*(a*b^2*d^2)^(1/2) + 2*a^3*b^2*(a + b)*(a*b^2*d^2)^(1/2)))/(192*a - 64*b))))/(2*(a*b^2*d^2)^(1/2)) - (2*atan((exp(d*x)*exp(c)*(9*a^2*(b^2*d^2)^(1/2) + b^2*(b^2*d^2)^(1/2) - 6*a*b*(b^2*d^2)^(1/2)))/(b^3*d - 6*a*b^2*d + 9*a^2*b*d)))/(b^2*d^2)^(1/2)","B"
112,1,176,50,1.614878,"\text{Not used}","int(1/(cosh(c + d*x)^4*(a + b*tanh(c + d*x)^2)),x)","\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}}{b}-\frac{2\,\left(a\,d+b\,d+a\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}-b\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{\sqrt{-a}\,b^{3/2}\,d}\right)\,\left(a+b\right)}{2\,\sqrt{-a}\,b^{3/2}\,d}-\frac{\ln\left(\frac{2\,\left(a\,d+b\,d+a\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}-b\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{\sqrt{-a}\,b^{3/2}\,d}-\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}}{b}\right)\,\left(a+b\right)}{2\,\sqrt{-a}\,b^{3/2}\,d}","Not used",1,"2/(b*d*(exp(2*c + 2*d*x) + 1)) + (log(- (4*exp(2*c + 2*d*x))/b - (2*(a*d + b*d + a*d*exp(2*c + 2*d*x) - b*d*exp(2*c + 2*d*x)))/((-a)^(1/2)*b^(3/2)*d))*(a + b))/(2*(-a)^(1/2)*b^(3/2)*d) - (log((2*(a*d + b*d + a*d*exp(2*c + 2*d*x) - b*d*exp(2*c + 2*d*x)))/((-a)^(1/2)*b^(3/2)*d) - (4*exp(2*c + 2*d*x))/b)*(a + b))/(2*(-a)^(1/2)*b^(3/2)*d)","B"
113,1,1012,86,2.096237,"\text{Not used}","int(1/(cosh(c + d*x)^5*(a + b*tanh(c + d*x)^2)),x)","\frac{\left(2\,\mathrm{atan}\left(\frac{\left({\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(\frac{64\,\left(12\,a^2\,b^4\,d\,\sqrt{a^3+3\,a^2\,b+3\,a\,b^2+b^3}-2\,a\,b^5\,d\,\sqrt{a^3+3\,a^2\,b+3\,a\,b^2+b^3}+18\,a^3\,b^3\,d\,\sqrt{a^3+3\,a^2\,b+3\,a\,b^2+b^3}+6\,a^4\,b^2\,d\,\sqrt{a^3+3\,a^2\,b+3\,a\,b^2+b^3}\right)}{a^3\,b^9\,d^2\,{\left(a+b\right)}^2\,\left(a^2+2\,a\,b+b^2\right)}-\frac{32\,\left(3\,a^5\,\sqrt{a\,b^4\,d^2}-b^5\,\sqrt{a\,b^4\,d^2}+4\,a\,b^4\,\sqrt{a\,b^4\,d^2}+15\,a^4\,b\,\sqrt{a\,b^4\,d^2}+20\,a^2\,b^3\,\sqrt{a\,b^4\,d^2}+27\,a^3\,b^2\,\sqrt{a\,b^4\,d^2}\right)}{a^3\,b^7\,d\,\sqrt{{\left(a+b\right)}^3}\,\left(a^2+2\,a\,b+b^2\right)\,\sqrt{a\,b^4\,d^2}}\right)+\frac{32\,{\mathrm{e}}^{3\,c}\,{\mathrm{e}}^{3\,d\,x}\,\left(3\,a^5\,\sqrt{a\,b^4\,d^2}-b^5\,\sqrt{a\,b^4\,d^2}+4\,a\,b^4\,\sqrt{a\,b^4\,d^2}+15\,a^4\,b\,\sqrt{a\,b^4\,d^2}+20\,a^2\,b^3\,\sqrt{a\,b^4\,d^2}+27\,a^3\,b^2\,\sqrt{a\,b^4\,d^2}\right)}{a^3\,b^7\,d\,\sqrt{{\left(a+b\right)}^3}\,\left(a^2+2\,a\,b+b^2\right)\,\sqrt{a\,b^4\,d^2}}\right)\,\left(a^2\,b^7\,\sqrt{a\,b^4\,d^2}+2\,a^3\,b^6\,\sqrt{a\,b^4\,d^2}+a^4\,b^5\,\sqrt{a\,b^4\,d^2}\right)}{192\,a^3+576\,a^2\,b+384\,a\,b^2-64\,b^3}\right)+2\,\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,{\left(a+b\right)}^2\,\sqrt{a\,b^4\,d^2}}{2\,a\,b^2\,d\,\sqrt{{\left(a+b\right)}^3}}\right)\right)\,\sqrt{a^3+3\,a^2\,b+3\,a\,b^2+b^3}}{2\,\sqrt{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}+3\,b^7\,\sqrt{b^4\,d^2}+30\,a^2\,b^5\,\sqrt{b^4\,d^2}+342\,a^3\,b^4\,\sqrt{b^4\,d^2}+555\,a^4\,b^3\,\sqrt{b^4\,d^2}+396\,a^5\,b^2\,\sqrt{b^4\,d^2}-34\,a\,b^6\,\sqrt{b^4\,d^2}+135\,a^6\,b\,\sqrt{b^4\,d^2}\right)}{b^8\,d\,\sqrt{4\,a^2+12\,a\,b+9\,b^2}-12\,a\,b^7\,d\,\sqrt{4\,a^2+12\,a\,b+9\,b^2}+18\,a^2\,b^6\,d\,\sqrt{4\,a^2+12\,a\,b+9\,b^2}+102\,a^3\,b^5\,d\,\sqrt{4\,a^2+12\,a\,b+9\,b^2}+117\,a^4\,b^4\,d\,\sqrt{4\,a^2+12\,a\,b+9\,b^2}+54\,a^5\,b^3\,d\,\sqrt{4\,a^2+12\,a\,b+9\,b^2}+9\,a^6\,b^2\,d\,\sqrt{4\,a^2+12\,a\,b+9\,b^2}}\right)\,\sqrt{4\,a^2+12\,a\,b+9\,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,"((2*atan(((exp(d*x)*exp(c)*((64*(12*a^2*b^4*d*(3*a*b^2 + 3*a^2*b + a^3 + b^3)^(1/2) - 2*a*b^5*d*(3*a*b^2 + 3*a^2*b + a^3 + b^3)^(1/2) + 18*a^3*b^3*d*(3*a*b^2 + 3*a^2*b + a^3 + b^3)^(1/2) + 6*a^4*b^2*d*(3*a*b^2 + 3*a^2*b + a^3 + b^3)^(1/2)))/(a^3*b^9*d^2*(a + b)^2*(2*a*b + a^2 + b^2)) - (32*(3*a^5*(a*b^4*d^2)^(1/2) - b^5*(a*b^4*d^2)^(1/2) + 4*a*b^4*(a*b^4*d^2)^(1/2) + 15*a^4*b*(a*b^4*d^2)^(1/2) + 20*a^2*b^3*(a*b^4*d^2)^(1/2) + 27*a^3*b^2*(a*b^4*d^2)^(1/2)))/(a^3*b^7*d*((a + b)^3)^(1/2)*(2*a*b + a^2 + b^2)*(a*b^4*d^2)^(1/2))) + (32*exp(3*c)*exp(3*d*x)*(3*a^5*(a*b^4*d^2)^(1/2) - b^5*(a*b^4*d^2)^(1/2) + 4*a*b^4*(a*b^4*d^2)^(1/2) + 15*a^4*b*(a*b^4*d^2)^(1/2) + 20*a^2*b^3*(a*b^4*d^2)^(1/2) + 27*a^3*b^2*(a*b^4*d^2)^(1/2)))/(a^3*b^7*d*((a + b)^3)^(1/2)*(2*a*b + a^2 + b^2)*(a*b^4*d^2)^(1/2)))*(a^2*b^7*(a*b^4*d^2)^(1/2) + 2*a^3*b^6*(a*b^4*d^2)^(1/2) + a^4*b^5*(a*b^4*d^2)^(1/2)))/(384*a*b^2 + 576*a^2*b + 192*a^3 - 64*b^3)) + 2*atan((exp(d*x)*exp(c)*(a + b)^2*(a*b^4*d^2)^(1/2))/(2*a*b^2*d*((a + b)^3)^(1/2))))*(3*a*b^2 + 3*a^2*b + a^3 + b^3)^(1/2))/(2*(a*b^4*d^2)^(1/2)) - (atan((exp(d*x)*exp(c)*(18*a^7*(b^4*d^2)^(1/2) + 3*b^7*(b^4*d^2)^(1/2) + 30*a^2*b^5*(b^4*d^2)^(1/2) + 342*a^3*b^4*(b^4*d^2)^(1/2) + 555*a^4*b^3*(b^4*d^2)^(1/2) + 396*a^5*b^2*(b^4*d^2)^(1/2) - 34*a*b^6*(b^4*d^2)^(1/2) + 135*a^6*b*(b^4*d^2)^(1/2)))/(b^8*d*(12*a*b + 4*a^2 + 9*b^2)^(1/2) - 12*a*b^7*d*(12*a*b + 4*a^2 + 9*b^2)^(1/2) + 18*a^2*b^6*d*(12*a*b + 4*a^2 + 9*b^2)^(1/2) + 102*a^3*b^5*d*(12*a*b + 4*a^2 + 9*b^2)^(1/2) + 117*a^4*b^4*d*(12*a*b + 4*a^2 + 9*b^2)^(1/2) + 54*a^5*b^3*d*(12*a*b + 4*a^2 + 9*b^2)^(1/2) + 9*a^6*b^2*d*(12*a*b + 4*a^2 + 9*b^2)^(1/2)))*(12*a*b + 4*a^2 + 9*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"
114,1,252,75,1.654197,"\text{Not used}","int(1/(cosh(c + d*x)^6*(a + b*tanh(c + d*x)^2)),x)","\frac{4}{b\,d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}-\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{2\,\left(a+b\right)}{b^2\,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)}{b^2}-\frac{2\,\left(a+b\right)\,\left(a+b+a\,{\mathrm{e}}^{2\,c+2\,d\,x}-b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{\sqrt{-a}\,b^{5/2}}\right)\,{\left(a+b\right)}^2}{2\,\sqrt{-a}\,b^{5/2}\,d}-\frac{\ln\left(\frac{2\,\left(a+b\right)\,\left(a+b+a\,{\mathrm{e}}^{2\,c+2\,d\,x}-b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{\sqrt{-a}\,b^{5/2}}-\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a+b\right)}{b^2}\right)\,{\left(a+b\right)}^2}{2\,\sqrt{-a}\,b^{5/2}\,d}","Not used",1,"4/(b*d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 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)) + (2*(a + b))/(b^2*d*(exp(2*c + 2*d*x) + 1)) + (log(- (4*exp(2*c + 2*d*x)*(a + b))/b^2 - (2*(a + b)*(a + b + a*exp(2*c + 2*d*x) - b*exp(2*c + 2*d*x)))/((-a)^(1/2)*b^(5/2)))*(a + b)^2)/(2*(-a)^(1/2)*b^(5/2)*d) - (log((2*(a + b)*(a + b + a*exp(2*c + 2*d*x) - b*exp(2*c + 2*d*x)))/((-a)^(1/2)*b^(5/2)) - (4*exp(2*c + 2*d*x)*(a + b))/b^2)*(a + b)^2)/(2*(-a)^(1/2)*b^(5/2)*d)","B"
115,0,-1,128,0.000000,"\text{Not used}","int(cosh(c + d*x)^3/(a + b*tanh(c + d*x)^2)^2,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^3}{{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(cosh(c + d*x)^3/(a + b*tanh(c + d*x)^2)^2, x)","F"
116,0,-1,140,0.000000,"\text{Not used}","int(cosh(c + d*x)^2/(a + b*tanh(c + d*x)^2)^2,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^2}{{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(cosh(c + d*x)^2/(a + b*tanh(c + d*x)^2)^2, x)","F"
117,0,-1,101,0.000000,"\text{Not used}","int(cosh(c + d*x)/(a + b*tanh(c + d*x)^2)^2,x)","\int \frac{\mathrm{cosh}\left(c+d\,x\right)}{{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(cosh(c + d*x)/(a + b*tanh(c + d*x)^2)^2, x)","F"
118,0,-1,83,0.000000,"\text{Not used}","int(1/(cosh(c + d*x)*(a + b*tanh(c + d*x)^2)^2),x)","\int \frac{1}{\mathrm{cosh}\left(c+d\,x\right)\,{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(1/(cosh(c + d*x)*(a + b*tanh(c + d*x)^2)^2), x)","F"
119,0,-1,66,0.000000,"\text{Not used}","int(1/(cosh(c + d*x)^2*(a + b*tanh(c + d*x)^2)^2),x)","\int \frac{1}{{\mathrm{cosh}\left(c+d\,x\right)}^2\,{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(1/(cosh(c + d*x)^2*(a + b*tanh(c + d*x)^2)^2), x)","F"
120,0,-1,72,0.000000,"\text{Not used}","int(1/(cosh(c + d*x)^3*(a + b*tanh(c + d*x)^2)^2),x)","\int \frac{1}{{\mathrm{cosh}\left(c+d\,x\right)}^3\,{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(1/(cosh(c + d*x)^3*(a + b*tanh(c + d*x)^2)^2), x)","F"
121,0,-1,77,0.000000,"\text{Not used}","int(1/(cosh(c + d*x)^4*(a + b*tanh(c + d*x)^2)^2),x)","\int \frac{1}{{\mathrm{cosh}\left(c+d\,x\right)}^4\,{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(1/(cosh(c + d*x)^4*(a + b*tanh(c + d*x)^2)^2), x)","F"
122,0,-1,102,0.000000,"\text{Not used}","int(1/(cosh(c + d*x)^5*(a + b*tanh(c + d*x)^2)^2),x)","\int \frac{1}{{\mathrm{cosh}\left(c+d\,x\right)}^5\,{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(1/(cosh(c + d*x)^5*(a + b*tanh(c + d*x)^2)^2), x)","F"
123,0,-1,97,0.000000,"\text{Not used}","int(1/(cosh(c + d*x)^6*(a + b*tanh(c + d*x)^2)^2),x)","\int \frac{1}{{\mathrm{cosh}\left(c+d\,x\right)}^6\,{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(1/(cosh(c + d*x)^6*(a + b*tanh(c + d*x)^2)^2), x)","F"
124,0,-1,155,0.000000,"\text{Not used}","int(1/(cosh(c + d*x)^7*(a + b*tanh(c + d*x)^2)^2),x)","\int \frac{1}{{\mathrm{cosh}\left(c+d\,x\right)}^7\,{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(1/(cosh(c + d*x)^7*(a + b*tanh(c + d*x)^2)^2), x)","F"
125,0,-1,198,0.000000,"\text{Not used}","int(cosh(c + d*x)^2/(a + b*tanh(c + d*x)^2)^3,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^2}{{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(cosh(c + d*x)^2/(a + b*tanh(c + d*x)^2)^3, x)","F"
126,0,-1,154,0.000000,"\text{Not used}","int(cosh(c + d*x)/(a + b*tanh(c + d*x)^2)^3,x)","\int \frac{\mathrm{cosh}\left(c+d\,x\right)}{{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(cosh(c + d*x)/(a + b*tanh(c + d*x)^2)^3, x)","F"
127,0,-1,144,0.000000,"\text{Not used}","int(1/(cosh(c + d*x)*(a + b*tanh(c + d*x)^2)^3),x)","\int \frac{1}{\mathrm{cosh}\left(c+d\,x\right)\,{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(1/(cosh(c + d*x)*(a + b*tanh(c + d*x)^2)^3), x)","F"
128,0,-1,96,0.000000,"\text{Not used}","int(1/(cosh(c + d*x)^2*(a + b*tanh(c + d*x)^2)^3),x)","\int \frac{1}{{\mathrm{cosh}\left(c+d\,x\right)}^2\,{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(1/(cosh(c + d*x)^2*(a + b*tanh(c + d*x)^2)^3), x)","F"
129,0,-1,129,0.000000,"\text{Not used}","int(1/(cosh(c + d*x)^3*(a + b*tanh(c + d*x)^2)^3),x)","\int \frac{1}{{\mathrm{cosh}\left(c+d\,x\right)}^3\,{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(1/(cosh(c + d*x)^3*(a + b*tanh(c + d*x)^2)^3), x)","F"
130,0,-1,115,0.000000,"\text{Not used}","int(1/(cosh(c + d*x)^4*(a + b*tanh(c + d*x)^2)^3),x)","\int \frac{1}{{\mathrm{cosh}\left(c+d\,x\right)}^4\,{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(1/(cosh(c + d*x)^4*(a + b*tanh(c + d*x)^2)^3), x)","F"
131,0,-1,104,0.000000,"\text{Not used}","int(1/(cosh(c + d*x)^5*(a + b*tanh(c + d*x)^2)^3),x)","\int \frac{1}{{\mathrm{cosh}\left(c+d\,x\right)}^5\,{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(1/(cosh(c + d*x)^5*(a + b*tanh(c + d*x)^2)^3), x)","F"
132,0,-1,131,0.000000,"\text{Not used}","int(1/(cosh(c + d*x)^6*(a + b*tanh(c + d*x)^2)^3),x)","\int \frac{1}{{\mathrm{cosh}\left(c+d\,x\right)}^6\,{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(1/(cosh(c + d*x)^6*(a + b*tanh(c + d*x)^2)^3), x)","F"
133,0,-1,156,0.000000,"\text{Not used}","int(1/(cosh(c + d*x)^7*(a + b*tanh(c + d*x)^2)^3),x)","\int \frac{1}{{\mathrm{cosh}\left(c+d\,x\right)}^7\,{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(1/(cosh(c + d*x)^7*(a + b*tanh(c + d*x)^2)^3), x)","F"
134,1,50,54,1.218102,"\text{Not used}","int(tanh(c + d*x)^4*(a + b*tanh(c + d*x)^2),x)","x\,\left(a+b\right)-\frac{{\mathrm{tanh}\left(c+d\,x\right)}^3\,\left(a+b\right)}{3\,d}-\frac{b\,{\mathrm{tanh}\left(c+d\,x\right)}^5}{5\,d}-\frac{\mathrm{tanh}\left(c+d\,x\right)\,\left(a+b\right)}{d}","Not used",1,"x*(a + b) - (tanh(c + d*x)^3*(a + b))/(3*d) - (b*tanh(c + d*x)^5)/(5*d) - (tanh(c + d*x)*(a + b))/d","B"
135,1,53,49,0.118420,"\text{Not used}","int(tanh(c + d*x)^3*(a + b*tanh(c + d*x)^2),x)","x\,\left(a+b\right)-\frac{{\mathrm{tanh}\left(c+d\,x\right)}^2\,\left(a+b\right)}{2\,d}-\frac{b\,{\mathrm{tanh}\left(c+d\,x\right)}^4}{4\,d}-\frac{\ln\left(\mathrm{tanh}\left(c+d\,x\right)+1\right)\,\left(a+b\right)}{d}","Not used",1,"x*(a + b) - (tanh(c + d*x)^2*(a + b))/(2*d) - (b*tanh(c + d*x)^4)/(4*d) - (log(tanh(c + d*x) + 1)*(a + b))/d","B"
136,1,34,36,1.170134,"\text{Not used}","int(tanh(c + d*x)^2*(a + b*tanh(c + d*x)^2),x)","x\,\left(a+b\right)-\frac{b\,{\mathrm{tanh}\left(c+d\,x\right)}^3}{3\,d}-\frac{\mathrm{tanh}\left(c+d\,x\right)\,\left(a+b\right)}{d}","Not used",1,"x*(a + b) - (b*tanh(c + d*x)^3)/(3*d) - (tanh(c + d*x)*(a + b))/d","B"
137,1,37,31,1.167988,"\text{Not used}","int(tanh(c + d*x)*(a + b*tanh(c + d*x)^2),x)","x\,\left(a+b\right)-\frac{b\,{\mathrm{tanh}\left(c+d\,x\right)}^2}{2\,d}-\frac{\ln\left(\mathrm{tanh}\left(c+d\,x\right)+1\right)\,\left(a+b\right)}{d}","Not used",1,"x*(a + b) - (b*tanh(c + d*x)^2)/(2*d) - (log(tanh(c + d*x) + 1)*(a + b))/d","B"
138,1,18,19,0.073192,"\text{Not used}","int(a + b*tanh(c + d*x)^2,x)","x\,\left(a+b\right)-\frac{b\,\mathrm{tanh}\left(c+d\,x\right)}{d}","Not used",1,"x*(a + b) - (b*tanh(c + d*x))/d","B"
139,1,228,25,1.311873,"\text{Not used}","int(coth(c + d*x)*(a + b*tanh(c + d*x)^2),x)","\frac{a\,\ln\left(8\,a\,b-4\,a^2-4\,b^2+4\,a^2\,{\mathrm{e}}^{4\,c}\,{\mathrm{e}}^{4\,d\,x}+4\,b^2\,{\mathrm{e}}^{4\,c}\,{\mathrm{e}}^{4\,d\,x}-8\,a\,b\,{\mathrm{e}}^{4\,c}\,{\mathrm{e}}^{4\,d\,x}\right)}{2\,d}-b\,x-\frac{\mathrm{atan}\left(\frac{a\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\,\sqrt{-d^2}}{d\,\sqrt{a^2-2\,a\,b+b^2}}-\frac{b\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\,\sqrt{-d^2}}{d\,\sqrt{a^2-2\,a\,b+b^2}}\right)\,\sqrt{a^2-2\,a\,b+b^2}}{\sqrt{-d^2}}-a\,x+\frac{b\,\ln\left(8\,a\,b-4\,a^2-4\,b^2+4\,a^2\,{\mathrm{e}}^{4\,c}\,{\mathrm{e}}^{4\,d\,x}+4\,b^2\,{\mathrm{e}}^{4\,c}\,{\mathrm{e}}^{4\,d\,x}-8\,a\,b\,{\mathrm{e}}^{4\,c}\,{\mathrm{e}}^{4\,d\,x}\right)}{2\,d}","Not used",1,"(a*log(8*a*b - 4*a^2 - 4*b^2 + 4*a^2*exp(4*c)*exp(4*d*x) + 4*b^2*exp(4*c)*exp(4*d*x) - 8*a*b*exp(4*c)*exp(4*d*x)))/(2*d) - b*x - (atan((a*exp(2*c)*exp(2*d*x)*(-d^2)^(1/2))/(d*(a^2 - 2*a*b + b^2)^(1/2)) - (b*exp(2*c)*exp(2*d*x)*(-d^2)^(1/2))/(d*(a^2 - 2*a*b + b^2)^(1/2)))*(a^2 - 2*a*b + b^2)^(1/2))/(-d^2)^(1/2) - a*x + (b*log(8*a*b - 4*a^2 - 4*b^2 + 4*a^2*exp(4*c)*exp(4*d*x) + 4*b^2*exp(4*c)*exp(4*d*x) - 8*a*b*exp(4*c)*exp(4*d*x)))/(2*d)","B"
140,1,25,18,1.266842,"\text{Not used}","int(coth(c + d*x)^2*(a + b*tanh(c + d*x)^2),x)","x\,\left(a+b\right)-\frac{2\,a}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}","Not used",1,"x*(a + b) - (2*a)/(d*(exp(2*c + 2*d*x) - 1))","B"
141,1,76,31,1.263599,"\text{Not used}","int(coth(c + d*x)^3*(a + b*tanh(c + d*x)^2),x)","\frac{\ln\left({\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}-1\right)\,\left(a+b\right)}{d}-\frac{2\,a}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{2\,a}{d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-x\,\left(a+b\right)","Not used",1,"(log(exp(2*c)*exp(2*d*x) - 1)*(a + b))/d - (2*a)/(d*(exp(2*c + 2*d*x) - 1)) - (2*a)/(d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) - x*(a + b)","B"
142,1,162,36,1.168000,"\text{Not used}","int(coth(c + d*x)^4*(a + b*tanh(c + d*x)^2),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}+x\,\left(a+b\right)-\frac{2\,\left(2\,a+b\right)}{3\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}","Not used",1,"((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) + x*(a + b) - (2*(2*a + b))/(3*d*(exp(2*c + 2*d*x) - 1))","B"
143,1,177,49,1.246151,"\text{Not used}","int(coth(c + d*x)^5*(a + b*tanh(c + d*x)^2),x)","\frac{\ln\left({\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}-1\right)\,\left(a+b\right)}{d}-\frac{2\,\left(2\,a+b\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-x\,\left(a+b\right)-\frac{2\,\left(4\,a+b\right)}{d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{8\,a}{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\,a}{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,"(log(exp(2*c)*exp(2*d*x) - 1)*(a + b))/d - (2*(2*a + b))/(d*(exp(2*c + 2*d*x) - 1)) - x*(a + b) - (2*(4*a + b))/(d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) - (8*a)/(d*(3*exp(2*c + 2*d*x) - 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) - 1)) - (4*a)/(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"
144,1,91,83,0.180217,"\text{Not used}","int(tanh(c + d*x)^4*(a + b*tanh(c + d*x)^2)^2,x)","x\,\left(a^2+2\,a\,b+b^2\right)-\frac{\mathrm{tanh}\left(c+d\,x\right)\,{\left(a+b\right)}^2}{d}-\frac{{\mathrm{tanh}\left(c+d\,x\right)}^5\,\left(b^2+2\,a\,b\right)}{5\,d}-\frac{b^2\,{\mathrm{tanh}\left(c+d\,x\right)}^7}{7\,d}-\frac{{\mathrm{tanh}\left(c+d\,x\right)}^3\,\left(a^2+2\,a\,b+b^2\right)}{3\,d}","Not used",1,"x*(2*a*b + a^2 + b^2) - (tanh(c + d*x)*(a + b)^2)/d - (tanh(c + d*x)^5*(2*a*b + b^2))/(5*d) - (b^2*tanh(c + d*x)^7)/(7*d) - (tanh(c + d*x)^3*(2*a*b + a^2 + b^2))/(3*d)","B"
145,1,100,76,1.314731,"\text{Not used}","int(tanh(c + d*x)^3*(a + b*tanh(c + d*x)^2)^2,x)","x\,\left(a^2+2\,a\,b+b^2\right)-\frac{{\mathrm{tanh}\left(c+d\,x\right)}^4\,\left(b^2+2\,a\,b\right)}{4\,d}-\frac{\ln\left(\mathrm{tanh}\left(c+d\,x\right)+1\right)\,\left(a^2+2\,a\,b+b^2\right)}{d}-\frac{b^2\,{\mathrm{tanh}\left(c+d\,x\right)}^6}{6\,d}-\frac{{\mathrm{tanh}\left(c+d\,x\right)}^2\,\left(a^2+2\,a\,b+b^2\right)}{2\,d}","Not used",1,"x*(2*a*b + a^2 + b^2) - (tanh(c + d*x)^4*(2*a*b + b^2))/(4*d) - (log(tanh(c + d*x) + 1)*(2*a*b + a^2 + b^2))/d - (b^2*tanh(c + d*x)^6)/(6*d) - (tanh(c + d*x)^2*(2*a*b + a^2 + b^2))/(2*d)","B"
146,1,67,63,1.300134,"\text{Not used}","int(tanh(c + d*x)^2*(a + b*tanh(c + d*x)^2)^2,x)","x\,\left(a^2+2\,a\,b+b^2\right)-\frac{\mathrm{tanh}\left(c+d\,x\right)\,{\left(a+b\right)}^2}{d}-\frac{{\mathrm{tanh}\left(c+d\,x\right)}^3\,\left(b^2+2\,a\,b\right)}{3\,d}-\frac{b^2\,{\mathrm{tanh}\left(c+d\,x\right)}^5}{5\,d}","Not used",1,"x*(2*a*b + a^2 + b^2) - (tanh(c + d*x)*(a + b)^2)/d - (tanh(c + d*x)^3*(2*a*b + b^2))/(3*d) - (b^2*tanh(c + d*x)^5)/(5*d)","B"
147,1,76,57,1.205986,"\text{Not used}","int(tanh(c + d*x)*(a + b*tanh(c + d*x)^2)^2,x)","x\,\left(a^2+2\,a\,b+b^2\right)-\frac{{\mathrm{tanh}\left(c+d\,x\right)}^2\,\left(b^2+2\,a\,b\right)}{2\,d}-\frac{\ln\left(\mathrm{tanh}\left(c+d\,x\right)+1\right)\,\left(a^2+2\,a\,b+b^2\right)}{d}-\frac{b^2\,{\mathrm{tanh}\left(c+d\,x\right)}^4}{4\,d}","Not used",1,"x*(2*a*b + a^2 + b^2) - (tanh(c + d*x)^2*(2*a*b + b^2))/(2*d) - (log(tanh(c + d*x) + 1)*(2*a*b + a^2 + b^2))/d - (b^2*tanh(c + d*x)^4)/(4*d)","B"
148,1,47,43,1.243207,"\text{Not used}","int((a + b*tanh(c + d*x)^2)^2,x)","x\,\left(a^2+2\,a\,b+b^2\right)-\frac{b^2\,{\mathrm{tanh}\left(c+d\,x\right)}^3}{3\,d}-\frac{b\,\mathrm{tanh}\left(c+d\,x\right)\,\left(2\,a+b\right)}{d}","Not used",1,"x*(2*a*b + a^2 + b^2) - (b^2*tanh(c + d*x)^3)/(3*d) - (b*tanh(c + d*x)*(2*a + b))/d","B"
149,1,210,49,1.319008,"\text{Not used}","int(coth(c + d*x)*(a + b*tanh(c + d*x)^2)^2,x)","\frac{2\,b^2}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-x\,{\left(a+b\right)}^2-\frac{2\,b^2}{d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}+\frac{\ln\left({\mathrm{e}}^{4\,c+4\,d\,x}-1\right)\,\left(d\,\left(b^2+2\,a\,b\right)+a^2\,d\right)}{2\,d^2}+\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\,\left(b^2\,\sqrt{-d^2}-a^2\,\sqrt{-d^2}+2\,a\,b\,\sqrt{-d^2}\right)}{d\,\sqrt{a^4-4\,a^3\,b+2\,a^2\,b^2+4\,a\,b^3+b^4}}\right)\,\sqrt{a^4-4\,a^3\,b+2\,a^2\,b^2+4\,a\,b^3+b^4}}{\sqrt{-d^2}}","Not used",1,"(2*b^2)/(d*(exp(2*c + 2*d*x) + 1)) - x*(a + b)^2 - (2*b^2)/(d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1)) + (log(exp(4*c + 4*d*x) - 1)*(d*(2*a*b + b^2) + a^2*d))/(2*d^2) + (atan((exp(2*c)*exp(2*d*x)*(b^2*(-d^2)^(1/2) - a^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 + 2*a^2*b^2)^(1/2)))*(4*a*b^3 - 4*a^3*b + a^4 + b^4 + 2*a^2*b^2)^(1/2))/(-d^2)^(1/2)","B"
150,1,59,36,1.244283,"\text{Not used}","int(coth(c + d*x)^2*(a + b*tanh(c + d*x)^2)^2,x)","x\,{\left(a+b\right)}^2-\frac{\frac{2\,\left(a^2+b^2\right)}{d}+\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a^2-b^2\right)}{d}}{{\mathrm{e}}^{4\,c+4\,d\,x}-1}","Not used",1,"x*(a + b)^2 - ((2*(a^2 + b^2))/d + (2*exp(2*c + 2*d*x)*(a^2 - b^2))/d)/(exp(4*c + 4*d*x) - 1)","B"
151,1,211,52,1.414635,"\text{Not used}","int(coth(c + d*x)^3*(a + b*tanh(c + d*x)^2)^2,x)","\frac{\ln\left({\mathrm{e}}^{4\,c+4\,d\,x}-1\right)\,\left(d\,\left(a^2+2\,b\,a\right)+b^2\,d\right)}{2\,d^2}-\frac{2\,a^2}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{2\,a^2}{d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-x\,{\left(a+b\right)}^2-\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\,\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+2\,a^2\,b^2-4\,a\,b^3+b^4}}\right)\,\sqrt{a^4+4\,a^3\,b+2\,a^2\,b^2-4\,a\,b^3+b^4}}{\sqrt{-d^2}}","Not used",1,"(log(exp(4*c + 4*d*x) - 1)*(d*(2*a*b + a^2) + b^2*d))/(2*d^2) - (2*a^2)/(d*(exp(2*c + 2*d*x) - 1)) - (2*a^2)/(d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) - x*(a + b)^2 - (atan((exp(2*c)*exp(2*d*x)*(a^2*(-d^2)^(1/2) - b^2*(-d^2)^(1/2) + 2*a*b*(-d^2)^(1/2)))/(d*(4*a^3*b - 4*a*b^3 + a^4 + b^4 + 2*a^2*b^2)^(1/2)))*(4*a^3*b - 4*a*b^3 + a^4 + b^4 + 2*a^2*b^2)^(1/2))/(-d^2)^(1/2)","B"
152,1,175,43,0.174629,"\text{Not used}","int(coth(c + d*x)^4*(a + b*tanh(c + d*x)^2)^2,x)","x\,{\left(a+b\right)}^2-\frac{\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a^2+b\,a\right)}{3\,d}-\frac{4\,a\,b}{3\,d}}{{\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1}-\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\,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{4\,\left(a^2+b\,a\right)}{3\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}","Not used",1,"x*(a + b)^2 - ((4*exp(2*c + 2*d*x)*(a*b + a^2))/(3*d) - (4*a*b)/(3*d))/(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1) - ((4*(a*b + a^2))/(3*d) + (4*exp(4*c + 4*d*x)*(a*b + a^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*(a*b + a^2))/(3*d*(exp(2*c + 2*d*x) - 1))","B"
153,1,197,72,1.271808,"\text{Not used}","int(coth(c + d*x)^5*(a + b*tanh(c + d*x)^2)^2,x)","\frac{\ln\left({\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}-1\right)\,\left(a^2+2\,a\,b+b^2\right)}{d}-x\,{\left(a+b\right)}^2-\frac{4\,\left(2\,a^2+b\,a\right)}{d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{8\,a^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\,a^2}{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(a^2+b\,a\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}","Not used",1,"(log(exp(2*c)*exp(2*d*x) - 1)*(2*a*b + a^2 + b^2))/d - x*(a + b)^2 - (4*(a*b + 2*a^2))/(d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) - (8*a^2)/(d*(3*exp(2*c + 2*d*x) - 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) - 1)) - (4*a^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*(a*b + a^2))/(d*(exp(2*c + 2*d*x) - 1))","B"
154,1,529,63,0.204153,"\text{Not used}","int(coth(c + d*x)^6*(a + b*tanh(c + d*x)^2)^2,x)","\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+4\,a\,b+b^2\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+4\,a\,b+b^2\right)}{5\,d}-\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(5\,a^2+4\,a\,b+3\,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}+x\,{\left(a+b\right)}^2-\frac{\frac{2\,\left(3\,a^2+4\,a\,b+b^2\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+4\,a\,b+b^2\right)}{5\,d}+\frac{4\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(5\,a^2+4\,a\,b+3\,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(5\,a^2+4\,a\,b+3\,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+4\,a\,b+b^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{2\,\left(3\,a^2+4\,a\,b+b^2\right)}{5\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}","Not used",1,"((2*(2*a*b + b^2))/(5*d) - (2*exp(2*c + 2*d*x)*(4*a*b + 3*a^2 + b^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)*(4*a*b + 3*a^2 + b^2))/(5*d) - (2*exp(2*c + 2*d*x)*(4*a*b + 5*a^2 + 3*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) + x*(a + b)^2 - ((2*(4*a*b + 3*a^2 + b^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)*(4*a*b + 3*a^2 + b^2))/(5*d) + (4*exp(4*c + 4*d*x)*(4*a*b + 5*a^2 + 3*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*(4*a*b + 5*a^2 + 3*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)*(4*a*b + 3*a^2 + b^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*(4*a*b + 3*a^2 + b^2))/(5*d*(exp(2*c + 2*d*x) - 1))","B"
155,1,362,92,0.274420,"\text{Not used}","int(coth(c + d*x)^7*(a + b*tanh(c + d*x)^2)^2,x)","\frac{\ln\left({\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}-1\right)\,\left(a^2+2\,a\,b+b^2\right)}{d}-\frac{2\,\left(3\,a^2+4\,a\,b+b^2\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{32\,a^2}{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)}-x\,{\left(a+b\right)}^2-\frac{2\,\left(9\,a^2+8\,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{8\,\left(13\,a^2+6\,b\,a\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+2\,b\,a\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{32\,a^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,"(log(exp(2*c)*exp(2*d*x) - 1)*(2*a*b + a^2 + b^2))/d - (2*(4*a*b + 3*a^2 + b^2))/(d*(exp(2*c + 2*d*x) - 1)) - (32*a^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)) - x*(a + b)^2 - (2*(8*a*b + 9*a^2 + b^2))/(d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) - (8*(6*a*b + 13*a^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*(2*a*b + 11*a^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)) - (32*a^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"
156,1,138,114,0.260357,"\text{Not used}","int(tanh(c + d*x)^4*(a + b*tanh(c + d*x)^2)^3,x)","x\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)-\frac{\mathrm{tanh}\left(c+d\,x\right)\,{\left(a+b\right)}^3}{d}-\frac{{\mathrm{tanh}\left(c+d\,x\right)}^5\,\left(3\,a^2\,b+3\,a\,b^2+b^3\right)}{5\,d}-\frac{{\mathrm{tanh}\left(c+d\,x\right)}^7\,\left(b^3+3\,a\,b^2\right)}{7\,d}-\frac{b^3\,{\mathrm{tanh}\left(c+d\,x\right)}^9}{9\,d}-\frac{{\mathrm{tanh}\left(c+d\,x\right)}^3\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)}{3\,d}","Not used",1,"x*(3*a*b^2 + 3*a^2*b + a^3 + b^3) - (tanh(c + d*x)*(a + b)^3)/d - (tanh(c + d*x)^5*(3*a*b^2 + 3*a^2*b + b^3))/(5*d) - (tanh(c + d*x)^7*(3*a*b^2 + b^3))/(7*d) - (b^3*tanh(c + d*x)^9)/(9*d) - (tanh(c + d*x)^3*(3*a*b^2 + 3*a^2*b + a^3 + b^3))/(3*d)","B"
157,1,155,107,1.240799,"\text{Not used}","int(tanh(c + d*x)^3*(a + b*tanh(c + d*x)^2)^3,x)","x\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)-\frac{{\mathrm{tanh}\left(c+d\,x\right)}^4\,\left(3\,a^2\,b+3\,a\,b^2+b^3\right)}{4\,d}-\frac{\ln\left(\mathrm{tanh}\left(c+d\,x\right)+1\right)\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)}{d}-\frac{{\mathrm{tanh}\left(c+d\,x\right)}^6\,\left(b^3+3\,a\,b^2\right)}{6\,d}-\frac{b^3\,{\mathrm{tanh}\left(c+d\,x\right)}^8}{8\,d}-\frac{{\mathrm{tanh}\left(c+d\,x\right)}^2\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)}{2\,d}","Not used",1,"x*(3*a*b^2 + 3*a^2*b + a^3 + b^3) - (tanh(c + d*x)^4*(3*a*b^2 + 3*a^2*b + b^3))/(4*d) - (log(tanh(c + d*x) + 1)*(3*a*b^2 + 3*a^2*b + a^3 + b^3))/d - (tanh(c + d*x)^6*(3*a*b^2 + b^3))/(6*d) - (b^3*tanh(c + d*x)^8)/(8*d) - (tanh(c + d*x)^2*(3*a*b^2 + 3*a^2*b + a^3 + b^3))/(2*d)","B"
158,1,106,94,1.218481,"\text{Not used}","int(tanh(c + d*x)^2*(a + b*tanh(c + d*x)^2)^3,x)","x\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)-\frac{\mathrm{tanh}\left(c+d\,x\right)\,{\left(a+b\right)}^3}{d}-\frac{{\mathrm{tanh}\left(c+d\,x\right)}^3\,\left(3\,a^2\,b+3\,a\,b^2+b^3\right)}{3\,d}-\frac{{\mathrm{tanh}\left(c+d\,x\right)}^5\,\left(b^3+3\,a\,b^2\right)}{5\,d}-\frac{b^3\,{\mathrm{tanh}\left(c+d\,x\right)}^7}{7\,d}","Not used",1,"x*(3*a*b^2 + 3*a^2*b + a^3 + b^3) - (tanh(c + d*x)*(a + b)^3)/d - (tanh(c + d*x)^3*(3*a*b^2 + 3*a^2*b + b^3))/(3*d) - (tanh(c + d*x)^5*(3*a*b^2 + b^3))/(5*d) - (b^3*tanh(c + d*x)^7)/(7*d)","B"
159,1,123,83,1.253306,"\text{Not used}","int(tanh(c + d*x)*(a + b*tanh(c + d*x)^2)^3,x)","x\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)-\frac{{\mathrm{tanh}\left(c+d\,x\right)}^2\,\left(3\,a^2\,b+3\,a\,b^2+b^3\right)}{2\,d}-\frac{\ln\left(\mathrm{tanh}\left(c+d\,x\right)+1\right)\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)}{d}-\frac{{\mathrm{tanh}\left(c+d\,x\right)}^4\,\left(b^3+3\,a\,b^2\right)}{4\,d}-\frac{b^3\,{\mathrm{tanh}\left(c+d\,x\right)}^6}{6\,d}","Not used",1,"x*(3*a*b^2 + 3*a^2*b + a^3 + b^3) - (tanh(c + d*x)^2*(3*a*b^2 + 3*a^2*b + b^3))/(2*d) - (log(tanh(c + d*x) + 1)*(3*a*b^2 + 3*a^2*b + a^3 + b^3))/d - (tanh(c + d*x)^4*(3*a*b^2 + b^3))/(4*d) - (b^3*tanh(c + d*x)^6)/(6*d)","B"
160,1,86,74,1.282124,"\text{Not used}","int((a + b*tanh(c + d*x)^2)^3,x)","x\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)-\frac{{\mathrm{tanh}\left(c+d\,x\right)}^3\,\left(b^3+3\,a\,b^2\right)}{3\,d}-\frac{b^3\,{\mathrm{tanh}\left(c+d\,x\right)}^5}{5\,d}-\frac{b\,\mathrm{tanh}\left(c+d\,x\right)\,\left(3\,a^2+3\,a\,b+b^2\right)}{d}","Not used",1,"x*(3*a*b^2 + 3*a^2*b + a^3 + b^3) - (tanh(c + d*x)^3*(3*a*b^2 + b^3))/(3*d) - (b^3*tanh(c + d*x)^5)/(5*d) - (b*tanh(c + d*x)*(3*a*b + 3*a^2 + b^2))/d","B"
161,1,380,72,0.400852,"\text{Not used}","int(coth(c + d*x)*(a + b*tanh(c + d*x)^2)^3,x)","\frac{\ln\left({\mathrm{e}}^{4\,c+4\,d\,x}-1\right)\,\left(a^3\,d+d\,\left(3\,a^2\,b+3\,a\,b^2+b^3\right)\right)}{2\,d^2}-x\,{\left(a+b\right)}^3+\frac{2\,\left(2\,b^3+3\,a\,b^2\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}+\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{\mathrm{atan}\left(\frac{{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\,\left(b^3\,\sqrt{-d^2}-a^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+3\,a^4\,b^2+16\,a^3\,b^3+15\,a^2\,b^4+6\,a\,b^5+b^6}}\right)\,\sqrt{a^6-6\,a^5\,b+3\,a^4\,b^2+16\,a^3\,b^3+15\,a^2\,b^4+6\,a\,b^5+b^6}}{\sqrt{-d^2}}-\frac{2\,\left(4\,b^3+3\,a\,b^2\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,"(log(exp(4*c + 4*d*x) - 1)*(a^3*d + d*(3*a*b^2 + 3*a^2*b + b^3)))/(2*d^2) - x*(a + b)^3 + (2*(3*a*b^2 + 2*b^3))/(d*(exp(2*c + 2*d*x) + 1)) + (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)) + (atan((exp(2*c)*exp(2*d*x)*(b^3*(-d^2)^(1/2) - a^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 + 16*a^3*b^3 + 3*a^4*b^2)^(1/2)))*(6*a*b^5 - 6*a^5*b + a^6 + b^6 + 15*a^2*b^4 + 16*a^3*b^3 + 3*a^4*b^2)^(1/2))/(-d^2)^(1/2) - (2*(3*a*b^2 + 4*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"
162,1,218,59,1.308194,"\text{Not used}","int(coth(c + d*x)^2*(a + b*tanh(c + d*x)^2)^3,x)","x\,{\left(a+b\right)}^3+\frac{\frac{2\,a\,b^2}{d}+\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(2\,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{\frac{2\,\left(2\,b^3+3\,a\,b^2\right)}{3\,d}+\frac{2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(2\,b^3+3\,a\,b^2\right)}{3\,d}+\frac{4\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,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{2\,a^3}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}+\frac{2\,\left(2\,b^3+3\,a\,b^2\right)}{3\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"x*(a + b)^3 + ((2*a*b^2)/d + (2*exp(2*c + 2*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) + ((2*(3*a*b^2 + 2*b^3))/(3*d) + (2*exp(4*c + 4*d*x)*(3*a*b^2 + 2*b^3))/(3*d) + (4*a*b^2*exp(2*c + 2*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*a^3)/(d*(exp(2*c + 2*d*x) - 1)) + (2*(3*a*b^2 + 2*b^3))/(3*d*(exp(2*c + 2*d*x) + 1))","B"
163,1,327,72,2.476072,"\text{Not used}","int(coth(c + d*x)^3*(a + b*tanh(c + d*x)^2)^3,x)","\frac{\ln\left({\mathrm{e}}^{4\,c+4\,d\,x}-1\right)\,\left(d\,a^3+3\,d\,a^2\,b+3\,d\,a\,b^2+d\,b^3\right)}{2\,d^2}-\frac{\frac{4\,\left(a^3+b^3\right)}{d}+\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a^3-b^3\right)}{d}}{{\mathrm{e}}^{4\,c+4\,d\,x}-1}-\frac{\frac{4\,\left(a^3+b^3\right)}{d}+\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a^3-b^3\right)}{d}}{{\mathrm{e}}^{8\,c+8\,d\,x}-2\,{\mathrm{e}}^{4\,c+4\,d\,x}+1}-\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\,\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+3\,a^4\,b^2-20\,a^3\,b^3+3\,a^2\,b^4+6\,a\,b^5+b^6}}\right)\,\sqrt{a^6+6\,a^5\,b+3\,a^4\,b^2-20\,a^3\,b^3+3\,a^2\,b^4+6\,a\,b^5+b^6}}{\sqrt{-d^2}}-x\,{\left(a+b\right)}^3","Not used",1,"(log(exp(4*c + 4*d*x) - 1)*(a^3*d + b^3*d + 3*a*b^2*d + 3*a^2*b*d))/(2*d^2) - ((4*(a^3 + b^3))/d + (2*exp(2*c + 2*d*x)*(a^3 - b^3))/d)/(exp(4*c + 4*d*x) - 1) - ((4*(a^3 + b^3))/d + (4*exp(2*c + 2*d*x)*(a^3 - b^3))/d)/(exp(8*c + 8*d*x) - 2*exp(4*c + 4*d*x) + 1) - (atan((exp(2*c)*exp(2*d*x)*(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 + 3*a^2*b^4 - 20*a^3*b^3 + 3*a^4*b^2)^(1/2)))*(6*a*b^5 + 6*a^5*b + a^6 + b^6 + 3*a^2*b^4 - 20*a^3*b^3 + 3*a^4*b^2)^(1/2))/(-d^2)^(1/2) - x*(a + b)^3","B"
164,1,219,59,1.286528,"\text{Not used}","int(coth(c + d*x)^4*(a + b*tanh(c + d*x)^2)^3,x)","x\,{\left(a+b\right)}^3+\frac{\frac{2\,a^2\,b}{d}-\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(2\,a^3+3\,b\,a^2\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\,b\,a^2\right)}{3\,d}+\frac{2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(2\,a^3+3\,b\,a^2\right)}{3\,d}-\frac{4\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,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{2\,b^3}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{2\,\left(2\,a^3+3\,b\,a^2\right)}{3\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}","Not used",1,"x*(a + b)^3 + ((2*a^2*b)/d - (2*exp(2*c + 2*d*x)*(3*a^2*b + 2*a^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))/(3*d) + (2*exp(4*c + 4*d*x)*(3*a^2*b + 2*a^3))/(3*d) - (4*a^2*b*exp(2*c + 2*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*b^3)/(d*(exp(2*c + 2*d*x) + 1)) - (2*(3*a^2*b + 2*a^3))/(3*d*(exp(2*c + 2*d*x) - 1))","B"
165,1,381,83,0.395433,"\text{Not used}","int(coth(c + d*x)^5*(a + b*tanh(c + d*x)^2)^3,x)","\frac{\ln\left({\mathrm{e}}^{4\,c+4\,d\,x}-1\right)\,\left(b^3\,d+d\,\left(a^3+3\,a^2\,b+3\,a\,b^2\right)\right)}{2\,d^2}-x\,{\left(a+b\right)}^3-\frac{2\,\left(2\,a^3+3\,b\,a^2\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{8\,a^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{\mathrm{atan}\left(\frac{{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\,\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+16\,a^3\,b^3+3\,a^2\,b^4-6\,a\,b^5+b^6}}\right)\,\sqrt{a^6+6\,a^5\,b+15\,a^4\,b^2+16\,a^3\,b^3+3\,a^2\,b^4-6\,a\,b^5+b^6}}{\sqrt{-d^2}}-\frac{2\,\left(4\,a^3+3\,b\,a^2\right)}{d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{4\,a^3}{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,"(log(exp(4*c + 4*d*x) - 1)*(b^3*d + d*(3*a*b^2 + 3*a^2*b + a^3)))/(2*d^2) - x*(a + b)^3 - (2*(3*a^2*b + 2*a^3))/(d*(exp(2*c + 2*d*x) - 1)) - (8*a^3)/(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)*(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^5*b - 6*a*b^5 + a^6 + b^6 + 3*a^2*b^4 + 16*a^3*b^3 + 15*a^4*b^2)^(1/2)))*(6*a^5*b - 6*a*b^5 + a^6 + b^6 + 3*a^2*b^4 + 16*a^3*b^3 + 15*a^4*b^2)^(1/2))/(-d^2)^(1/2) - (2*(3*a^2*b + 4*a^3))/(d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) - (4*a^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"
166,1,568,74,1.298601,"\text{Not used}","int(coth(c + d*x)^6*(a + b*tanh(c + d*x)^2)^3,x)","x\,{\left(a+b\right)}^3-\frac{\frac{6\,\left(a^3+2\,a^2\,b+a\,b^2\right)}{5\,d}+\frac{6\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(a^3+2\,a^2\,b+a\,b^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{4\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(5\,a^3+6\,a^2\,b+9\,a\,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(5\,a^3+6\,a^2\,b+9\,a\,b^2\right)}{15\,d}+\frac{6\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(a^3+2\,a^2\,b+a\,b^2\right)}{5\,d}-\frac{12\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a^2\,b+a\,b^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{6\,\left(a^2\,b+a\,b^2\right)}{5\,d}-\frac{6\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(a^3+2\,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(5\,a^3+6\,a^2\,b+9\,a\,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{6\,\left(a^2\,b+a\,b^2\right)}{5\,d}-\frac{6\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a^3+2\,a^2\,b+a\,b^2\right)}{5\,d}}{{\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1}-\frac{6\,\left(a^3+2\,a^2\,b+a\,b^2\right)}{5\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}","Not used",1,"x*(a + b)^3 - ((6*(a*b^2 + 2*a^2*b + a^3))/(5*d) + (6*exp(8*c + 8*d*x)*(a*b^2 + 2*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) + (4*exp(4*c + 4*d*x)*(9*a*b^2 + 6*a^2*b + 5*a^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*(9*a*b^2 + 6*a^2*b + 5*a^3))/(15*d) + (6*exp(4*c + 4*d*x)*(a*b^2 + 2*a^2*b + a^3))/(5*d) - (12*exp(2*c + 2*d*x)*(a*b^2 + 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) + ((6*(a*b^2 + a^2*b))/(5*d) - (6*exp(6*c + 6*d*x)*(a*b^2 + 2*a^2*b + a^3))/(5*d) + (18*exp(4*c + 4*d*x)*(a*b^2 + a^2*b))/(5*d) - (2*exp(2*c + 2*d*x)*(9*a*b^2 + 6*a^2*b + 5*a^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) + ((6*(a*b^2 + a^2*b))/(5*d) - (6*exp(2*c + 2*d*x)*(a*b^2 + 2*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 + 2*a^2*b + a^3))/(5*d*(exp(2*c + 2*d*x) - 1))","B"
167,1,380,103,0.317509,"\text{Not used}","int(coth(c + d*x)^7*(a + b*tanh(c + d*x)^2)^3,x)","\frac{\ln\left({\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}-1\right)\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)}{d}-\frac{4\,\left(11\,a^3+3\,b\,a^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{32\,a^3}{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(3\,a^3+4\,a^2\,b+a\,b^2\right)}{d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{6\,\left(a^3+2\,a^2\,b+a\,b^2\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{8\,\left(13\,a^3+9\,b\,a^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{32\,a^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)}-x\,{\left(a+b\right)}^3","Not used",1,"(log(exp(2*c)*exp(2*d*x) - 1)*(3*a*b^2 + 3*a^2*b + a^3 + b^3))/d - (4*(3*a^2*b + 11*a^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)) - (32*a^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*b^2 + 4*a^2*b + 3*a^3))/(d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) - (6*(a*b^2 + 2*a^2*b + a^3))/(d*(exp(2*c + 2*d*x) - 1)) - (8*(9*a^2*b + 13*a^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*a^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)) - x*(a + b)^3","B"
168,1,133,110,0.199771,"\text{Not used}","int((a + b*tanh(c + d*x)^2)^4,x)","x\,\left(a^4+4\,a^3\,b+6\,a^2\,b^2+4\,a\,b^3+b^4\right)-\frac{{\mathrm{tanh}\left(c+d\,x\right)}^3\,\left(6\,a^2\,b^2+4\,a\,b^3+b^4\right)}{3\,d}-\frac{{\mathrm{tanh}\left(c+d\,x\right)}^5\,\left(b^4+4\,a\,b^3\right)}{5\,d}-\frac{b^4\,{\mathrm{tanh}\left(c+d\,x\right)}^7}{7\,d}-\frac{b\,\mathrm{tanh}\left(c+d\,x\right)\,\left(4\,a^3+6\,a^2\,b+4\,a\,b^2+b^3\right)}{d}","Not used",1,"x*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2) - (tanh(c + d*x)^3*(4*a*b^3 + b^4 + 6*a^2*b^2))/(3*d) - (tanh(c + d*x)^5*(4*a*b^3 + b^4))/(5*d) - (b^4*tanh(c + d*x)^7)/(7*d) - (b*tanh(c + d*x)*(4*a*b^2 + 6*a^2*b + 4*a^3 + b^3))/d","B"
169,1,188,160,1.320592,"\text{Not used}","int((a + b*tanh(c + d*x)^2)^5,x)","x\,\left(a^5+5\,a^4\,b+10\,a^3\,b^2+10\,a^2\,b^3+5\,a\,b^4+b^5\right)-\frac{{\mathrm{tanh}\left(c+d\,x\right)}^3\,\left(10\,a^3\,b^2+10\,a^2\,b^3+5\,a\,b^4+b^5\right)}{3\,d}-\frac{{\mathrm{tanh}\left(c+d\,x\right)}^5\,\left(10\,a^2\,b^3+5\,a\,b^4+b^5\right)}{5\,d}-\frac{{\mathrm{tanh}\left(c+d\,x\right)}^7\,\left(b^5+5\,a\,b^4\right)}{7\,d}-\frac{b^5\,{\mathrm{tanh}\left(c+d\,x\right)}^9}{9\,d}-\frac{b\,\mathrm{tanh}\left(c+d\,x\right)\,\left(5\,a^4+10\,a^3\,b+10\,a^2\,b^2+5\,a\,b^3+b^4\right)}{d}","Not used",1,"x*(5*a*b^4 + 5*a^4*b + a^5 + b^5 + 10*a^2*b^3 + 10*a^3*b^2) - (tanh(c + d*x)^3*(5*a*b^4 + b^5 + 10*a^2*b^3 + 10*a^3*b^2))/(3*d) - (tanh(c + d*x)^5*(5*a*b^4 + b^5 + 10*a^2*b^3))/(5*d) - (tanh(c + d*x)^7*(5*a*b^4 + b^5))/(7*d) - (b^5*tanh(c + d*x)^9)/(9*d) - (b*tanh(c + d*x)*(5*a*b^3 + 10*a^3*b + 5*a^4 + b^4 + 10*a^2*b^2))/d","B"
170,1,72,66,0.269172,"\text{Not used}","int(tanh(c + d*x)^5/(a + b*tanh(c + d*x)^2),x)","-\frac{b^2\,\left(\ln\left(\mathrm{tanh}\left(c+d\,x\right)+1\right)-d\,x+\frac{{\mathrm{tanh}\left(c+d\,x\right)}^2}{2}\right)-\frac{a^2\,\ln\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}{2}+\frac{a\,b\,{\mathrm{tanh}\left(c+d\,x\right)}^2}{2}}{b^2\,d\,\left(a+b\right)}","Not used",1,"-(b^2*(log(tanh(c + d*x) + 1) - d*x + tanh(c + d*x)^2/2) - (a^2*log(a + b*tanh(c + d*x)^2))/2 + (a*b*tanh(c + d*x)^2)/2)/(b^2*d*(a + b))","B"
171,1,56,59,1.229508,"\text{Not used}","int(tanh(c + d*x)^4/(a + b*tanh(c + d*x)^2),x)","\frac{x}{a+b}-\frac{\mathrm{tanh}\left(c+d\,x\right)}{b\,d}+\frac{a^2\,\mathrm{atan}\left(\frac{b\,\mathrm{tanh}\left(c+d\,x\right)}{\sqrt{a\,b}}\right)}{b\,d\,\sqrt{a\,b}\,\left(a+b\right)}","Not used",1,"x/(a + b) - tanh(c + d*x)/(b*d) + (a^2*atan((b*tanh(c + d*x))/(a*b)^(1/2)))/(b*d*(a*b)^(1/2)*(a + b))","B"
172,1,46,46,1.236299,"\text{Not used}","int(tanh(c + d*x)^3/(a + b*tanh(c + d*x)^2),x)","-\frac{\frac{a\,\ln\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}{2}+b\,\left(\ln\left(\mathrm{tanh}\left(c+d\,x\right)+1\right)-d\,x\right)}{b\,d\,\left(a+b\right)}","Not used",1,"-((a*log(a + b*tanh(c + d*x)^2))/2 + b*(log(tanh(c + d*x) + 1) - d*x))/(b*d*(a + b))","B"
173,1,38,46,0.105531,"\text{Not used}","int(tanh(c + d*x)^2/(a + b*tanh(c + d*x)^2),x)","\frac{x}{a+b}-\frac{a\,\mathrm{atan}\left(\frac{b\,\mathrm{tanh}\left(c+d\,x\right)}{\sqrt{a\,b}}\right)}{d\,\sqrt{a\,b}\,\left(a+b\right)}","Not used",1,"x/(a + b) - (a*atan((b*tanh(c + d*x))/(a*b)^(1/2)))/(d*(a*b)^(1/2)*(a + b))","B"
174,1,43,42,1.169998,"\text{Not used}","int(tanh(c + d*x)/(a + b*tanh(c + d*x)^2),x)","\frac{x}{a+b}-\frac{\ln\left(\mathrm{tanh}\left(c+d\,x\right)+1\right)-\frac{\ln\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}{2}}{d\,\left(a+b\right)}","Not used",1,"x/(a + b) - (log(tanh(c + d*x) + 1) - log(a + b*tanh(c + d*x)^2)/2)/(d*(a + b))","B"
175,1,37,45,0.090515,"\text{Not used}","int(1/(a + b*tanh(c + d*x)^2),x)","\frac{x}{a+b}+\frac{b\,\mathrm{atan}\left(\frac{b\,\mathrm{tanh}\left(c+d\,x\right)}{\sqrt{a\,b}}\right)}{d\,\sqrt{a\,b}\,\left(a+b\right)}","Not used",1,"x/(a + b) + (b*atan((b*tanh(c + d*x))/(a*b)^(1/2)))/(d*(a*b)^(1/2)*(a + b))","B"
176,1,194,60,1.468020,"\text{Not used}","int(coth(c + d*x)/(a + b*tanh(c + d*x)^2),x)","\frac{\ln\left(12\,a\,b^2+4\,a^2\,b+9\,b^3-9\,b^3\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}-12\,a\,b^2\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}-4\,a^2\,b\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\right)}{a\,d}-\frac{b\,\ln\left(5\,a\,b+2\,a^2+3\,b^2+4\,a^2\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+2\,a^2\,{\mathrm{e}}^{4\,c}\,{\mathrm{e}}^{4\,d\,x}-6\,b^2\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+3\,b^2\,{\mathrm{e}}^{4\,c}\,{\mathrm{e}}^{4\,d\,x}+2\,a\,b\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+5\,a\,b\,{\mathrm{e}}^{4\,c}\,{\mathrm{e}}^{4\,d\,x}\right)}{2\,d\,a^2+2\,b\,d\,a}-\frac{x}{a+b}","Not used",1,"log(12*a*b^2 + 4*a^2*b + 9*b^3 - 9*b^3*exp(2*c)*exp(2*d*x) - 12*a*b^2*exp(2*c)*exp(2*d*x) - 4*a^2*b*exp(2*c)*exp(2*d*x))/(a*d) - (b*log(5*a*b + 2*a^2 + 3*b^2 + 4*a^2*exp(2*c)*exp(2*d*x) + 2*a^2*exp(4*c)*exp(4*d*x) - 6*b^2*exp(2*c)*exp(2*d*x) + 3*b^2*exp(4*c)*exp(4*d*x) + 2*a*b*exp(2*c)*exp(2*d*x) + 5*a*b*exp(4*c)*exp(4*d*x)))/(2*a^2*d + 2*a*b*d) - x/(a + b)","B"
177,1,402,60,1.615939,"\text{Not used}","int(coth(c + d*x)^2/(a + b*tanh(c + d*x)^2),x)","\frac{x}{a+b}-\frac{\mathrm{atan}\left(\left({\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\,\left(\frac{4\,b^2}{a\,d\,{\left(a+b\right)}^3\,\left(a^2+b\,a\right)\,\sqrt{b^3}}+\frac{\left(a^3\,d\,\sqrt{b^3}-a\,b^2\,d\,\sqrt{b^3}\right)\,\left(a-b\right)}{b^2\,{\left(a+b\right)}^2\,\left(a^2+b\,a\right)\,\sqrt{a^5\,d^2+2\,a^4\,b\,d^2+a^3\,b^2\,d^2}\,\sqrt{a^3\,d^2\,{\left(a+b\right)}^2}}\right)+\frac{\left(a-b\right)\,\left(a^3\,d\,\sqrt{b^3}+a\,b^2\,d\,\sqrt{b^3}+2\,a^2\,b\,d\,\sqrt{b^3}\right)}{b^2\,{\left(a+b\right)}^2\,\left(a^2+b\,a\right)\,\sqrt{a^5\,d^2+2\,a^4\,b\,d^2+a^3\,b^2\,d^2}\,\sqrt{a^3\,d^2\,{\left(a+b\right)}^2}}\right)\,\left(\frac{a^3\,\sqrt{a^5\,d^2+2\,a^4\,b\,d^2+a^3\,b^2\,d^2}}{2}+\frac{a\,b^2\,\sqrt{a^5\,d^2+2\,a^4\,b\,d^2+a^3\,b^2\,d^2}}{2}+a^2\,b\,\sqrt{a^5\,d^2+2\,a^4\,b\,d^2+a^3\,b^2\,d^2}\right)\right)\,\sqrt{b^3}}{\sqrt{a^5\,d^2+2\,a^4\,b\,d^2+a^3\,b^2\,d^2}}-\frac{2}{a\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}","Not used",1,"x/(a + b) - (atan((exp(2*c)*exp(2*d*x)*((4*b^2)/(a*d*(a + b)^3*(a*b + a^2)*(b^3)^(1/2)) + ((a^3*d*(b^3)^(1/2) - a*b^2*d*(b^3)^(1/2))*(a - b))/(b^2*(a + b)^2*(a*b + a^2)*(a^5*d^2 + 2*a^4*b*d^2 + a^3*b^2*d^2)^(1/2)*(a^3*d^2*(a + b)^2)^(1/2))) + ((a - b)*(a^3*d*(b^3)^(1/2) + a*b^2*d*(b^3)^(1/2) + 2*a^2*b*d*(b^3)^(1/2)))/(b^2*(a + b)^2*(a*b + a^2)*(a^5*d^2 + 2*a^4*b*d^2 + a^3*b^2*d^2)^(1/2)*(a^3*d^2*(a + b)^2)^(1/2)))*((a^3*(a^5*d^2 + 2*a^4*b*d^2 + a^3*b^2*d^2)^(1/2))/2 + (a*b^2*(a^5*d^2 + 2*a^4*b*d^2 + a^3*b^2*d^2)^(1/2))/2 + a^2*b*(a^5*d^2 + 2*a^4*b*d^2 + a^3*b^2*d^2)^(1/2)))*(b^3)^(1/2))/(a^5*d^2 + 2*a^4*b*d^2 + a^3*b^2*d^2)^(1/2) - 2/(a*d*(exp(2*c + 2*d*x) - 1))","B"
178,1,313,85,1.538611,"\text{Not used}","int(coth(c + d*x)^3/(a + b*tanh(c + d*x)^2),x)","\frac{b^2\,\ln\left(3\,a\,b^2-2\,a^2\,b-2\,a^3+3\,b^3-4\,a^3\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}-2\,a^3\,{\mathrm{e}}^{4\,c}\,{\mathrm{e}}^{4\,d\,x}-6\,b^3\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+3\,b^3\,{\mathrm{e}}^{4\,c}\,{\mathrm{e}}^{4\,d\,x}+6\,a\,b^2\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+4\,a^2\,b\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+3\,a\,b^2\,{\mathrm{e}}^{4\,c}\,{\mathrm{e}}^{4\,d\,x}-2\,a^2\,b\,{\mathrm{e}}^{4\,c}\,{\mathrm{e}}^{4\,d\,x}\right)}{2\,d\,a^3+2\,b\,d\,a^2}-\frac{x}{a+b}-\frac{2}{a\,d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}+\frac{\ln\left(4\,a^4\,b+9\,b^5-12\,a^2\,b^3-9\,b^5\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}-4\,a^4\,b\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+12\,a^2\,b^3\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\right)\,\left(a-b\right)}{a^2\,d}-\frac{2\,\left(a^2+b\,a\right)}{a^2\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)\,\left(a+b\right)}","Not used",1,"(b^2*log(3*a*b^2 - 2*a^2*b - 2*a^3 + 3*b^3 - 4*a^3*exp(2*c)*exp(2*d*x) - 2*a^3*exp(4*c)*exp(4*d*x) - 6*b^3*exp(2*c)*exp(2*d*x) + 3*b^3*exp(4*c)*exp(4*d*x) + 6*a*b^2*exp(2*c)*exp(2*d*x) + 4*a^2*b*exp(2*c)*exp(2*d*x) + 3*a*b^2*exp(4*c)*exp(4*d*x) - 2*a^2*b*exp(4*c)*exp(4*d*x)))/(2*a^3*d + 2*a^2*b*d) - x/(a + b) - 2/(a*d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) + (log(4*a^4*b + 9*b^5 - 12*a^2*b^3 - 9*b^5*exp(2*c)*exp(2*d*x) - 4*a^4*b*exp(2*c)*exp(2*d*x) + 12*a^2*b^3*exp(2*c)*exp(2*d*x))*(a - b))/(a^2*d) - (2*(a*b + a^2))/(a^2*d*(exp(2*c + 2*d*x) - 1)*(a + b))","B"
179,1,519,82,1.613888,"\text{Not used}","int(coth(c + d*x)^4/(a + b*tanh(c + d*x)^2),x)","\frac{x}{a+b}+\frac{\mathrm{atan}\left(\left({\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\,\left(\frac{4\,b^3}{a^2\,d\,{\left(a+b\right)}^3\,\left(a^3+b\,a^2\right)\,\sqrt{b^5}}+\frac{\left(a^4\,d\,\sqrt{b^5}-a^2\,b^2\,d\,\sqrt{b^5}\right)\,\left(a-b\right)}{b^3\,{\left(a+b\right)}^2\,\left(a^3+b\,a^2\right)\,\sqrt{a^7\,d^2+2\,a^6\,b\,d^2+a^5\,b^2\,d^2}\,\sqrt{a^5\,d^2\,{\left(a+b\right)}^2}}\right)+\frac{\left(a-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)}{b^3\,{\left(a+b\right)}^2\,\left(a^3+b\,a^2\right)\,\sqrt{a^7\,d^2+2\,a^6\,b\,d^2+a^5\,b^2\,d^2}\,\sqrt{a^5\,d^2\,{\left(a+b\right)}^2}}\right)\,\left(\frac{a^4\,\sqrt{a^7\,d^2+2\,a^6\,b\,d^2+a^5\,b^2\,d^2}}{2}+a^3\,b\,\sqrt{a^7\,d^2+2\,a^6\,b\,d^2+a^5\,b^2\,d^2}+\frac{a^2\,b^2\,\sqrt{a^7\,d^2+2\,a^6\,b\,d^2+a^5\,b^2\,d^2}}{2}\right)\right)\,\sqrt{b^5}}{\sqrt{a^7\,d^2+2\,a^6\,b\,d^2+a^5\,b^2\,d^2}}-\frac{8}{3\,a\,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^2+b\,a\right)}{a^2\,d\,\left(a+b\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+a\,b-b^2\right)}{a^2\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)\,\left(a+b\right)}","Not used",1,"x/(a + b) + (atan((exp(2*c)*exp(2*d*x)*((4*b^3)/(a^2*d*(a + b)^3*(a^2*b + a^3)*(b^5)^(1/2)) + ((a^4*d*(b^5)^(1/2) - a^2*b^2*d*(b^5)^(1/2))*(a - b))/(b^3*(a + b)^2*(a^2*b + a^3)*(a^7*d^2 + 2*a^6*b*d^2 + a^5*b^2*d^2)^(1/2)*(a^5*d^2*(a + b)^2)^(1/2))) + ((a - 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)))/(b^3*(a + b)^2*(a^2*b + a^3)*(a^7*d^2 + 2*a^6*b*d^2 + a^5*b^2*d^2)^(1/2)*(a^5*d^2*(a + b)^2)^(1/2)))*((a^4*(a^7*d^2 + 2*a^6*b*d^2 + a^5*b^2*d^2)^(1/2))/2 + a^3*b*(a^7*d^2 + 2*a^6*b*d^2 + a^5*b^2*d^2)^(1/2) + (a^2*b^2*(a^7*d^2 + 2*a^6*b*d^2 + a^5*b^2*d^2)^(1/2))/2))*(b^5)^(1/2))/(a^7*d^2 + 2*a^6*b*d^2 + a^5*b^2*d^2)^(1/2) - 8/(3*a*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 + a^2))/(a^2*d*(a + b)*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) - (2*(a*b + 2*a^2 - b^2))/(a^2*d*(exp(2*c + 2*d*x) - 1)*(a + b))","B"
180,1,170,83,1.609149,"\text{Not used}","int(tanh(c + d*x)^5/(a + b*tanh(c + d*x)^2)^2,x)","-\frac{a^2}{2\,\left(d\,a^2\,b^2+d\,a\,b^3\,{\mathrm{tanh}\left(c+d\,x\right)}^2+d\,a\,b^3+d\,b^4\,{\mathrm{tanh}\left(c+d\,x\right)}^2\right)}-\frac{\ln\left({\mathrm{tanh}\left(c+d\,x\right)}^2-1\right)}{2\,\left(d\,a^2+2\,d\,a\,b+d\,b^2\right)}-\frac{a^2\,\ln\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}{2\,\left(d\,a^2\,b^2+2\,d\,a\,b^3+d\,b^4\right)}-\frac{a\,b\,\ln\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}{d\,a^2\,b^2+2\,d\,a\,b^3+d\,b^4}","Not used",1,"- a^2/(2*(a^2*b^2*d + b^4*d*tanh(c + d*x)^2 + a*b^3*d + a*b^3*d*tanh(c + d*x)^2)) - log(tanh(c + d*x)^2 - 1)/(2*(a^2*d + b^2*d + 2*a*b*d)) - (a^2*log(a + b*tanh(c + d*x)^2))/(2*(b^4*d + a^2*b^2*d + 2*a*b^3*d)) - (a*b*log(a + b*tanh(c + d*x)^2))/(b^4*d + a^2*b^2*d + 2*a*b^3*d)","B"
181,1,1655,89,1.691522,"\text{Not used}","int(tanh(c + d*x)^4/(a + b*tanh(c + d*x)^2)^2,x)","\frac{\ln\left(\mathrm{tanh}\left(c+d\,x\right)+1\right)}{2\,d\,a^2+4\,d\,a\,b+2\,d\,b^2}-\frac{\ln\left(\mathrm{tanh}\left(c+d\,x\right)-1\right)}{2\,d\,{\left(a+b\right)}^2}+\frac{a\,\mathrm{tanh}\left(c+d\,x\right)}{2\,b\,\left(a+b\right)\,\left(b\,d\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\,d\right)}-\frac{\mathrm{atan}\left(\frac{\frac{\left(a+3\,b\right)\,\sqrt{-a\,b^3}\,\left(\frac{\mathrm{tanh}\left(c+d\,x\right)\,\left(a^4+6\,a^3\,b+9\,a^2\,b^2+4\,b^4\right)}{2\,\left(a^2\,b\,d^2+2\,a\,b^2\,d^2+b^3\,d^2\right)}+\frac{\left(a+3\,b\right)\,\sqrt{-a\,b^3}\,\left(\frac{2\,a^5\,b^2\,d^2+8\,a^4\,b^3\,d^2+12\,a^3\,b^4\,d^2+8\,a^2\,b^5\,d^2+2\,a\,b^6\,d^2}{a^3\,b\,d^3+3\,a^2\,b^2\,d^3+3\,a\,b^3\,d^3+b^4\,d^3}-\frac{\mathrm{tanh}\left(c+d\,x\right)\,\left(a+3\,b\right)\,\sqrt{-a\,b^3}\,\left(-16\,a^5\,b^3\,d^2-48\,a^4\,b^4\,d^2-32\,a^3\,b^5\,d^2+32\,a^2\,b^6\,d^2+48\,a\,b^7\,d^2+16\,b^8\,d^2\right)}{8\,\left(d\,a^2\,b^3+2\,d\,a\,b^4+d\,b^5\right)\,\left(a^2\,b\,d^2+2\,a\,b^2\,d^2+b^3\,d^2\right)}\right)}{4\,\left(d\,a^2\,b^3+2\,d\,a\,b^4+d\,b^5\right)}\right)\,1{}\mathrm{i}}{4\,\left(d\,a^2\,b^3+2\,d\,a\,b^4+d\,b^5\right)}+\frac{\left(a+3\,b\right)\,\sqrt{-a\,b^3}\,\left(\frac{\mathrm{tanh}\left(c+d\,x\right)\,\left(a^4+6\,a^3\,b+9\,a^2\,b^2+4\,b^4\right)}{2\,\left(a^2\,b\,d^2+2\,a\,b^2\,d^2+b^3\,d^2\right)}-\frac{\left(a+3\,b\right)\,\sqrt{-a\,b^3}\,\left(\frac{2\,a^5\,b^2\,d^2+8\,a^4\,b^3\,d^2+12\,a^3\,b^4\,d^2+8\,a^2\,b^5\,d^2+2\,a\,b^6\,d^2}{a^3\,b\,d^3+3\,a^2\,b^2\,d^3+3\,a\,b^3\,d^3+b^4\,d^3}+\frac{\mathrm{tanh}\left(c+d\,x\right)\,\left(a+3\,b\right)\,\sqrt{-a\,b^3}\,\left(-16\,a^5\,b^3\,d^2-48\,a^4\,b^4\,d^2-32\,a^3\,b^5\,d^2+32\,a^2\,b^6\,d^2+48\,a\,b^7\,d^2+16\,b^8\,d^2\right)}{8\,\left(d\,a^2\,b^3+2\,d\,a\,b^4+d\,b^5\right)\,\left(a^2\,b\,d^2+2\,a\,b^2\,d^2+b^3\,d^2\right)}\right)}{4\,\left(d\,a^2\,b^3+2\,d\,a\,b^4+d\,b^5\right)}\right)\,1{}\mathrm{i}}{4\,\left(d\,a^2\,b^3+2\,d\,a\,b^4+d\,b^5\right)}}{\frac{\frac{a^3}{2}+\frac{5\,a^2\,b}{2}+3\,a\,b^2}{a^3\,b\,d^3+3\,a^2\,b^2\,d^3+3\,a\,b^3\,d^3+b^4\,d^3}-\frac{\left(a+3\,b\right)\,\sqrt{-a\,b^3}\,\left(\frac{\mathrm{tanh}\left(c+d\,x\right)\,\left(a^4+6\,a^3\,b+9\,a^2\,b^2+4\,b^4\right)}{2\,\left(a^2\,b\,d^2+2\,a\,b^2\,d^2+b^3\,d^2\right)}+\frac{\left(a+3\,b\right)\,\sqrt{-a\,b^3}\,\left(\frac{2\,a^5\,b^2\,d^2+8\,a^4\,b^3\,d^2+12\,a^3\,b^4\,d^2+8\,a^2\,b^5\,d^2+2\,a\,b^6\,d^2}{a^3\,b\,d^3+3\,a^2\,b^2\,d^3+3\,a\,b^3\,d^3+b^4\,d^3}-\frac{\mathrm{tanh}\left(c+d\,x\right)\,\left(a+3\,b\right)\,\sqrt{-a\,b^3}\,\left(-16\,a^5\,b^3\,d^2-48\,a^4\,b^4\,d^2-32\,a^3\,b^5\,d^2+32\,a^2\,b^6\,d^2+48\,a\,b^7\,d^2+16\,b^8\,d^2\right)}{8\,\left(d\,a^2\,b^3+2\,d\,a\,b^4+d\,b^5\right)\,\left(a^2\,b\,d^2+2\,a\,b^2\,d^2+b^3\,d^2\right)}\right)}{4\,\left(d\,a^2\,b^3+2\,d\,a\,b^4+d\,b^5\right)}\right)}{4\,\left(d\,a^2\,b^3+2\,d\,a\,b^4+d\,b^5\right)}+\frac{\left(a+3\,b\right)\,\sqrt{-a\,b^3}\,\left(\frac{\mathrm{tanh}\left(c+d\,x\right)\,\left(a^4+6\,a^3\,b+9\,a^2\,b^2+4\,b^4\right)}{2\,\left(a^2\,b\,d^2+2\,a\,b^2\,d^2+b^3\,d^2\right)}-\frac{\left(a+3\,b\right)\,\sqrt{-a\,b^3}\,\left(\frac{2\,a^5\,b^2\,d^2+8\,a^4\,b^3\,d^2+12\,a^3\,b^4\,d^2+8\,a^2\,b^5\,d^2+2\,a\,b^6\,d^2}{a^3\,b\,d^3+3\,a^2\,b^2\,d^3+3\,a\,b^3\,d^3+b^4\,d^3}+\frac{\mathrm{tanh}\left(c+d\,x\right)\,\left(a+3\,b\right)\,\sqrt{-a\,b^3}\,\left(-16\,a^5\,b^3\,d^2-48\,a^4\,b^4\,d^2-32\,a^3\,b^5\,d^2+32\,a^2\,b^6\,d^2+48\,a\,b^7\,d^2+16\,b^8\,d^2\right)}{8\,\left(d\,a^2\,b^3+2\,d\,a\,b^4+d\,b^5\right)\,\left(a^2\,b\,d^2+2\,a\,b^2\,d^2+b^3\,d^2\right)}\right)}{4\,\left(d\,a^2\,b^3+2\,d\,a\,b^4+d\,b^5\right)}\right)}{4\,\left(d\,a^2\,b^3+2\,d\,a\,b^4+d\,b^5\right)}}\right)\,\left(a+3\,b\right)\,\sqrt{-a\,b^3}\,1{}\mathrm{i}}{2\,\left(d\,a^2\,b^3+2\,d\,a\,b^4+d\,b^5\right)}","Not used",1,"log(tanh(c + d*x) + 1)/(2*a^2*d + 2*b^2*d + 4*a*b*d) - log(tanh(c + d*x) - 1)/(2*d*(a + b)^2) - (atan((((a + 3*b)*(-a*b^3)^(1/2)*((tanh(c + d*x)*(6*a^3*b + a^4 + 4*b^4 + 9*a^2*b^2))/(2*(b^3*d^2 + 2*a*b^2*d^2 + a^2*b*d^2)) + ((a + 3*b)*(-a*b^3)^(1/2)*((2*a*b^6*d^2 + 8*a^2*b^5*d^2 + 12*a^3*b^4*d^2 + 8*a^4*b^3*d^2 + 2*a^5*b^2*d^2)/(b^4*d^3 + 3*a*b^3*d^3 + a^3*b*d^3 + 3*a^2*b^2*d^3) - (tanh(c + d*x)*(a + 3*b)*(-a*b^3)^(1/2)*(16*b^8*d^2 + 48*a*b^7*d^2 + 32*a^2*b^6*d^2 - 32*a^3*b^5*d^2 - 48*a^4*b^4*d^2 - 16*a^5*b^3*d^2))/(8*(b^5*d + a^2*b^3*d + 2*a*b^4*d)*(b^3*d^2 + 2*a*b^2*d^2 + a^2*b*d^2))))/(4*(b^5*d + a^2*b^3*d + 2*a*b^4*d)))*1i)/(4*(b^5*d + a^2*b^3*d + 2*a*b^4*d)) + ((a + 3*b)*(-a*b^3)^(1/2)*((tanh(c + d*x)*(6*a^3*b + a^4 + 4*b^4 + 9*a^2*b^2))/(2*(b^3*d^2 + 2*a*b^2*d^2 + a^2*b*d^2)) - ((a + 3*b)*(-a*b^3)^(1/2)*((2*a*b^6*d^2 + 8*a^2*b^5*d^2 + 12*a^3*b^4*d^2 + 8*a^4*b^3*d^2 + 2*a^5*b^2*d^2)/(b^4*d^3 + 3*a*b^3*d^3 + a^3*b*d^3 + 3*a^2*b^2*d^3) + (tanh(c + d*x)*(a + 3*b)*(-a*b^3)^(1/2)*(16*b^8*d^2 + 48*a*b^7*d^2 + 32*a^2*b^6*d^2 - 32*a^3*b^5*d^2 - 48*a^4*b^4*d^2 - 16*a^5*b^3*d^2))/(8*(b^5*d + a^2*b^3*d + 2*a*b^4*d)*(b^3*d^2 + 2*a*b^2*d^2 + a^2*b*d^2))))/(4*(b^5*d + a^2*b^3*d + 2*a*b^4*d)))*1i)/(4*(b^5*d + a^2*b^3*d + 2*a*b^4*d)))/((3*a*b^2 + (5*a^2*b)/2 + a^3/2)/(b^4*d^3 + 3*a*b^3*d^3 + a^3*b*d^3 + 3*a^2*b^2*d^3) - ((a + 3*b)*(-a*b^3)^(1/2)*((tanh(c + d*x)*(6*a^3*b + a^4 + 4*b^4 + 9*a^2*b^2))/(2*(b^3*d^2 + 2*a*b^2*d^2 + a^2*b*d^2)) + ((a + 3*b)*(-a*b^3)^(1/2)*((2*a*b^6*d^2 + 8*a^2*b^5*d^2 + 12*a^3*b^4*d^2 + 8*a^4*b^3*d^2 + 2*a^5*b^2*d^2)/(b^4*d^3 + 3*a*b^3*d^3 + a^3*b*d^3 + 3*a^2*b^2*d^3) - (tanh(c + d*x)*(a + 3*b)*(-a*b^3)^(1/2)*(16*b^8*d^2 + 48*a*b^7*d^2 + 32*a^2*b^6*d^2 - 32*a^3*b^5*d^2 - 48*a^4*b^4*d^2 - 16*a^5*b^3*d^2))/(8*(b^5*d + a^2*b^3*d + 2*a*b^4*d)*(b^3*d^2 + 2*a*b^2*d^2 + a^2*b*d^2))))/(4*(b^5*d + a^2*b^3*d + 2*a*b^4*d))))/(4*(b^5*d + a^2*b^3*d + 2*a*b^4*d)) + ((a + 3*b)*(-a*b^3)^(1/2)*((tanh(c + d*x)*(6*a^3*b + a^4 + 4*b^4 + 9*a^2*b^2))/(2*(b^3*d^2 + 2*a*b^2*d^2 + a^2*b*d^2)) - ((a + 3*b)*(-a*b^3)^(1/2)*((2*a*b^6*d^2 + 8*a^2*b^5*d^2 + 12*a^3*b^4*d^2 + 8*a^4*b^3*d^2 + 2*a^5*b^2*d^2)/(b^4*d^3 + 3*a*b^3*d^3 + a^3*b*d^3 + 3*a^2*b^2*d^3) + (tanh(c + d*x)*(a + 3*b)*(-a*b^3)^(1/2)*(16*b^8*d^2 + 48*a*b^7*d^2 + 32*a^2*b^6*d^2 - 32*a^3*b^5*d^2 - 48*a^4*b^4*d^2 - 16*a^5*b^3*d^2))/(8*(b^5*d + a^2*b^3*d + 2*a*b^4*d)*(b^3*d^2 + 2*a*b^2*d^2 + a^2*b*d^2))))/(4*(b^5*d + a^2*b^3*d + 2*a*b^4*d))))/(4*(b^5*d + a^2*b^3*d + 2*a*b^4*d))))*(a + 3*b)*(-a*b^3)^(1/2)*1i)/(2*(b^5*d + a^2*b^3*d + 2*a*b^4*d)) + (a*tanh(c + d*x))/(2*b*(a + b)*(a*d + b*d*tanh(c + d*x)^2))","B"
182,1,210,72,0.427269,"\text{Not used}","int(tanh(c + d*x)^3/(a + b*tanh(c + d*x)^2)^2,x)","-\frac{-a^2+a\,b\,\left(-1+\mathrm{atan}\left(\frac{a\,{\mathrm{tanh}\left(c+d\,x\right)}^2\,1{}\mathrm{i}+b\,{\mathrm{tanh}\left(c+d\,x\right)}^2\,1{}\mathrm{i}}{2\,a-a\,{\mathrm{tanh}\left(c+d\,x\right)}^2+b\,{\mathrm{tanh}\left(c+d\,x\right)}^2}\right)\,2{}\mathrm{i}\right)+b^2\,{\mathrm{tanh}\left(c+d\,x\right)}^2\,\mathrm{atan}\left(\frac{a\,{\mathrm{tanh}\left(c+d\,x\right)}^2\,1{}\mathrm{i}+b\,{\mathrm{tanh}\left(c+d\,x\right)}^2\,1{}\mathrm{i}}{2\,a-a\,{\mathrm{tanh}\left(c+d\,x\right)}^2+b\,{\mathrm{tanh}\left(c+d\,x\right)}^2}\right)\,2{}\mathrm{i}}{2\,d\,a^3\,b+2\,d\,a^2\,b^2\,{\mathrm{tanh}\left(c+d\,x\right)}^2+4\,d\,a^2\,b^2+4\,d\,a\,b^3\,{\mathrm{tanh}\left(c+d\,x\right)}^2+2\,d\,a\,b^3+2\,d\,b^4\,{\mathrm{tanh}\left(c+d\,x\right)}^2}","Not used",1,"-(a*b*(atan((a*tanh(c + d*x)^2*1i + b*tanh(c + d*x)^2*1i)/(2*a - a*tanh(c + d*x)^2 + b*tanh(c + d*x)^2))*2i - 1) - a^2 + b^2*tanh(c + d*x)^2*atan((a*tanh(c + d*x)^2*1i + b*tanh(c + d*x)^2*1i)/(2*a - a*tanh(c + d*x)^2 + b*tanh(c + d*x)^2))*2i)/(4*a^2*b^2*d + 2*b^4*d*tanh(c + d*x)^2 + 2*a*b^3*d + 2*a^3*b*d + 2*a^2*b^2*d*tanh(c + d*x)^2 + 4*a*b^3*d*tanh(c + d*x)^2)","B"
183,1,106,85,0.660243,"\text{Not used}","int(tanh(c + d*x)^2/(a + b*tanh(c + d*x)^2)^2,x)","\frac{\frac{a\,x}{{\left(a+b\right)}^2}-\frac{\mathrm{tanh}\left(c+d\,x\right)}{2\,a\,d+2\,b\,d}+\frac{b\,x\,{\mathrm{tanh}\left(c+d\,x\right)}^2}{{\left(a+b\right)}^2}}{b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a}-\frac{\mathrm{atan}\left(\frac{b\,\mathrm{tanh}\left(c+d\,x\right)}{\sqrt{a\,b}}\right)\,\left(a-b\right)}{\sqrt{a\,b}\,\left(2\,d\,a^2+4\,d\,a\,b+2\,d\,b^2\right)}","Not used",1,"((a*x)/(a + b)^2 - tanh(c + d*x)/(2*a*d + 2*b*d) + (b*x*tanh(c + d*x)^2)/(a + b)^2)/(a + b*tanh(c + d*x)^2) - (atan((b*tanh(c + d*x))/(a*b)^(1/2))*(a - b))/((a*b)^(1/2)*(2*a^2*d + 2*b^2*d + 4*a*b*d))","B"
184,1,129,68,1.465817,"\text{Not used}","int(tanh(c + d*x)/(a + b*tanh(c + d*x)^2)^2,x)","\frac{\frac{a\,x}{a^2+2\,a\,b+b^2}+\frac{b\,x\,{\mathrm{tanh}\left(c+d\,x\right)}^2}{a^2+2\,a\,b+b^2}+\frac{b\,{\mathrm{tanh}\left(c+d\,x\right)}^2}{2\,a\,d\,\left(a+b\right)}}{b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a}+\frac{\ln\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}{2\,d\,\left(a^2+2\,a\,b+b^2\right)}-\frac{\ln\left(\mathrm{tanh}\left(c+d\,x\right)+1\right)}{d\,{\left(a+b\right)}^2}","Not used",1,"((a*x)/(2*a*b + a^2 + b^2) + (b*x*tanh(c + d*x)^2)/(2*a*b + a^2 + b^2) + (b*tanh(c + d*x)^2)/(2*a*d*(a + b)))/(a + b*tanh(c + d*x)^2) + log(a + b*tanh(c + d*x)^2)/(2*d*(2*a*b + a^2 + b^2)) - log(tanh(c + d*x) + 1)/(d*(a + b)^2)","B"
185,1,110,89,1.540954,"\text{Not used}","int(1/(a + b*tanh(c + d*x)^2)^2,x)","\frac{\frac{a\,x}{{\left(a+b\right)}^2}+\frac{b\,x\,{\mathrm{tanh}\left(c+d\,x\right)}^2}{{\left(a+b\right)}^2}+\frac{b\,\mathrm{tanh}\left(c+d\,x\right)}{2\,a\,d\,\left(a+b\right)}}{b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a}+\frac{\mathrm{atan}\left(\frac{b\,\mathrm{tanh}\left(c+d\,x\right)}{\sqrt{a\,b}}\right)\,\left(b^2+3\,a\,b\right)}{\sqrt{a\,b}\,\left(2\,a^3\,d+a\,b\,\left(4\,a\,d+2\,b\,d\right)\right)}","Not used",1,"((a*x)/(a + b)^2 + (b*x*tanh(c + d*x)^2)/(a + b)^2 + (b*tanh(c + d*x))/(2*a*d*(a + b)))/(a + b*tanh(c + d*x)^2) + (atan((b*tanh(c + d*x))/(a*b)^(1/2))*(3*a*b + b^2))/((a*b)^(1/2)*(2*a^3*d + a*b*(4*a*d + 2*b*d)))","B"
186,0,-1,95,0.000000,"\text{Not used}","int(coth(c + d*x)/(a + b*tanh(c + d*x)^2)^2,x)","\int \frac{\mathrm{coth}\left(c+d\,x\right)}{{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(coth(c + d*x)/(a + b*tanh(c + d*x)^2)^2, x)","F"
187,0,-1,119,0.000000,"\text{Not used}","int(coth(c + d*x)^2/(a + b*tanh(c + d*x)^2)^2,x)","\int \frac{{\mathrm{coth}\left(c+d\,x\right)}^2}{{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(coth(c + d*x)^2/(a + b*tanh(c + d*x)^2)^2, x)","F"
188,0,-1,124,0.000000,"\text{Not used}","int(coth(c + d*x)^3/(a + b*tanh(c + d*x)^2)^2,x)","\int \frac{{\mathrm{coth}\left(c+d\,x\right)}^3}{{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(coth(c + d*x)^3/(a + b*tanh(c + d*x)^2)^2, x)","F"
189,0,-1,159,0.000000,"\text{Not used}","int(coth(c + d*x)^4/(a + b*tanh(c + d*x)^2)^2,x)","\int \frac{{\mathrm{coth}\left(c+d\,x\right)}^4}{{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(coth(c + d*x)^4/(a + b*tanh(c + d*x)^2)^2, x)","F"
190,1,2669,144,0.921617,"\text{Not used}","int(tanh(c + d*x)^6/(a + b*tanh(c + d*x)^2)^3,x)","\frac{\ln\left(\mathrm{tanh}\left(c+d\,x\right)+1\right)}{2\,d\,a^3+6\,d\,a^2\,b+6\,d\,a\,b^2+2\,d\,b^3}+\frac{\frac{{\mathrm{tanh}\left(c+d\,x\right)}^3\,\left(5\,a^2+9\,b\,a\right)}{8\,b\,\left(a^2+2\,a\,b+b^2\right)}+\frac{a\,\mathrm{tanh}\left(c+d\,x\right)\,\left(3\,a^2+7\,b\,a\right)}{8\,b^2\,\left(a^2+2\,a\,b+b^2\right)}}{d\,a^2+2\,d\,a\,b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+d\,b^2\,{\mathrm{tanh}\left(c+d\,x\right)}^4}-\frac{\ln\left(\mathrm{tanh}\left(c+d\,x\right)-1\right)}{2\,d\,{\left(a+b\right)}^3}-\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-a\,b^5}\,\left(\frac{\mathrm{tanh}\left(c+d\,x\right)\,\left(9\,a^6+60\,a^5\,b+190\,a^4\,b^2+300\,a^3\,b^3+225\,a^2\,b^4+64\,b^6\right)}{32\,\left(a^4\,b^3\,d^2+4\,a^3\,b^4\,d^2+6\,a^2\,b^5\,d^2+4\,a\,b^6\,d^2+b^7\,d^2\right)}+\frac{\left(\frac{96\,a^8\,b^3\,d^2+800\,a^7\,b^4\,d^2+2784\,a^6\,b^5\,d^2+5280\,a^5\,b^6\,d^2+5920\,a^4\,b^7\,d^2+3936\,a^3\,b^8\,d^2+1440\,a^2\,b^9\,d^2+224\,a\,b^{10}\,d^2}{64\,\left(a^6\,b^3\,d^3+6\,a^5\,b^4\,d^3+15\,a^4\,b^5\,d^3+20\,a^3\,b^6\,d^3+15\,a^2\,b^7\,d^3+6\,a\,b^8\,d^3+b^9\,d^3\right)}-\frac{\mathrm{tanh}\left(c+d\,x\right)\,\sqrt{-a\,b^5}\,\left(3\,a^2+10\,a\,b+15\,b^2\right)\,\left(-256\,a^7\,b^5\,d^2-1280\,a^6\,b^6\,d^2-2304\,a^5\,b^7\,d^2-1280\,a^4\,b^8\,d^2+1280\,a^3\,b^9\,d^2+2304\,a^2\,b^{10}\,d^2+1280\,a\,b^{11}\,d^2+256\,b^{12}\,d^2\right)}{512\,\left(d\,a^3\,b^5+3\,d\,a^2\,b^6+3\,d\,a\,b^7+d\,b^8\right)\,\left(a^4\,b^3\,d^2+4\,a^3\,b^4\,d^2+6\,a^2\,b^5\,d^2+4\,a\,b^6\,d^2+b^7\,d^2\right)}\right)\,\sqrt{-a\,b^5}\,\left(3\,a^2+10\,a\,b+15\,b^2\right)}{16\,\left(d\,a^3\,b^5+3\,d\,a^2\,b^6+3\,d\,a\,b^7+d\,b^8\right)}\right)\,\left(3\,a^2+10\,a\,b+15\,b^2\right)\,1{}\mathrm{i}}{16\,\left(d\,a^3\,b^5+3\,d\,a^2\,b^6+3\,d\,a\,b^7+d\,b^8\right)}+\frac{\sqrt{-a\,b^5}\,\left(\frac{\mathrm{tanh}\left(c+d\,x\right)\,\left(9\,a^6+60\,a^5\,b+190\,a^4\,b^2+300\,a^3\,b^3+225\,a^2\,b^4+64\,b^6\right)}{32\,\left(a^4\,b^3\,d^2+4\,a^3\,b^4\,d^2+6\,a^2\,b^5\,d^2+4\,a\,b^6\,d^2+b^7\,d^2\right)}-\frac{\left(\frac{96\,a^8\,b^3\,d^2+800\,a^7\,b^4\,d^2+2784\,a^6\,b^5\,d^2+5280\,a^5\,b^6\,d^2+5920\,a^4\,b^7\,d^2+3936\,a^3\,b^8\,d^2+1440\,a^2\,b^9\,d^2+224\,a\,b^{10}\,d^2}{64\,\left(a^6\,b^3\,d^3+6\,a^5\,b^4\,d^3+15\,a^4\,b^5\,d^3+20\,a^3\,b^6\,d^3+15\,a^2\,b^7\,d^3+6\,a\,b^8\,d^3+b^9\,d^3\right)}+\frac{\mathrm{tanh}\left(c+d\,x\right)\,\sqrt{-a\,b^5}\,\left(3\,a^2+10\,a\,b+15\,b^2\right)\,\left(-256\,a^7\,b^5\,d^2-1280\,a^6\,b^6\,d^2-2304\,a^5\,b^7\,d^2-1280\,a^4\,b^8\,d^2+1280\,a^3\,b^9\,d^2+2304\,a^2\,b^{10}\,d^2+1280\,a\,b^{11}\,d^2+256\,b^{12}\,d^2\right)}{512\,\left(d\,a^3\,b^5+3\,d\,a^2\,b^6+3\,d\,a\,b^7+d\,b^8\right)\,\left(a^4\,b^3\,d^2+4\,a^3\,b^4\,d^2+6\,a^2\,b^5\,d^2+4\,a\,b^6\,d^2+b^7\,d^2\right)}\right)\,\sqrt{-a\,b^5}\,\left(3\,a^2+10\,a\,b+15\,b^2\right)}{16\,\left(d\,a^3\,b^5+3\,d\,a^2\,b^6+3\,d\,a\,b^7+d\,b^8\right)}\right)\,\left(3\,a^2+10\,a\,b+15\,b^2\right)\,1{}\mathrm{i}}{16\,\left(d\,a^3\,b^5+3\,d\,a^2\,b^6+3\,d\,a\,b^7+d\,b^8\right)}}{\frac{9\,a^5+51\,a^4\,b+139\,a^3\,b^2+185\,a^2\,b^3+120\,a\,b^4}{32\,\left(a^6\,b^3\,d^3+6\,a^5\,b^4\,d^3+15\,a^4\,b^5\,d^3+20\,a^3\,b^6\,d^3+15\,a^2\,b^7\,d^3+6\,a\,b^8\,d^3+b^9\,d^3\right)}-\frac{\sqrt{-a\,b^5}\,\left(\frac{\mathrm{tanh}\left(c+d\,x\right)\,\left(9\,a^6+60\,a^5\,b+190\,a^4\,b^2+300\,a^3\,b^3+225\,a^2\,b^4+64\,b^6\right)}{32\,\left(a^4\,b^3\,d^2+4\,a^3\,b^4\,d^2+6\,a^2\,b^5\,d^2+4\,a\,b^6\,d^2+b^7\,d^2\right)}+\frac{\left(\frac{96\,a^8\,b^3\,d^2+800\,a^7\,b^4\,d^2+2784\,a^6\,b^5\,d^2+5280\,a^5\,b^6\,d^2+5920\,a^4\,b^7\,d^2+3936\,a^3\,b^8\,d^2+1440\,a^2\,b^9\,d^2+224\,a\,b^{10}\,d^2}{64\,\left(a^6\,b^3\,d^3+6\,a^5\,b^4\,d^3+15\,a^4\,b^5\,d^3+20\,a^3\,b^6\,d^3+15\,a^2\,b^7\,d^3+6\,a\,b^8\,d^3+b^9\,d^3\right)}-\frac{\mathrm{tanh}\left(c+d\,x\right)\,\sqrt{-a\,b^5}\,\left(3\,a^2+10\,a\,b+15\,b^2\right)\,\left(-256\,a^7\,b^5\,d^2-1280\,a^6\,b^6\,d^2-2304\,a^5\,b^7\,d^2-1280\,a^4\,b^8\,d^2+1280\,a^3\,b^9\,d^2+2304\,a^2\,b^{10}\,d^2+1280\,a\,b^{11}\,d^2+256\,b^{12}\,d^2\right)}{512\,\left(d\,a^3\,b^5+3\,d\,a^2\,b^6+3\,d\,a\,b^7+d\,b^8\right)\,\left(a^4\,b^3\,d^2+4\,a^3\,b^4\,d^2+6\,a^2\,b^5\,d^2+4\,a\,b^6\,d^2+b^7\,d^2\right)}\right)\,\sqrt{-a\,b^5}\,\left(3\,a^2+10\,a\,b+15\,b^2\right)}{16\,\left(d\,a^3\,b^5+3\,d\,a^2\,b^6+3\,d\,a\,b^7+d\,b^8\right)}\right)\,\left(3\,a^2+10\,a\,b+15\,b^2\right)}{16\,\left(d\,a^3\,b^5+3\,d\,a^2\,b^6+3\,d\,a\,b^7+d\,b^8\right)}+\frac{\sqrt{-a\,b^5}\,\left(\frac{\mathrm{tanh}\left(c+d\,x\right)\,\left(9\,a^6+60\,a^5\,b+190\,a^4\,b^2+300\,a^3\,b^3+225\,a^2\,b^4+64\,b^6\right)}{32\,\left(a^4\,b^3\,d^2+4\,a^3\,b^4\,d^2+6\,a^2\,b^5\,d^2+4\,a\,b^6\,d^2+b^7\,d^2\right)}-\frac{\left(\frac{96\,a^8\,b^3\,d^2+800\,a^7\,b^4\,d^2+2784\,a^6\,b^5\,d^2+5280\,a^5\,b^6\,d^2+5920\,a^4\,b^7\,d^2+3936\,a^3\,b^8\,d^2+1440\,a^2\,b^9\,d^2+224\,a\,b^{10}\,d^2}{64\,\left(a^6\,b^3\,d^3+6\,a^5\,b^4\,d^3+15\,a^4\,b^5\,d^3+20\,a^3\,b^6\,d^3+15\,a^2\,b^7\,d^3+6\,a\,b^8\,d^3+b^9\,d^3\right)}+\frac{\mathrm{tanh}\left(c+d\,x\right)\,\sqrt{-a\,b^5}\,\left(3\,a^2+10\,a\,b+15\,b^2\right)\,\left(-256\,a^7\,b^5\,d^2-1280\,a^6\,b^6\,d^2-2304\,a^5\,b^7\,d^2-1280\,a^4\,b^8\,d^2+1280\,a^3\,b^9\,d^2+2304\,a^2\,b^{10}\,d^2+1280\,a\,b^{11}\,d^2+256\,b^{12}\,d^2\right)}{512\,\left(d\,a^3\,b^5+3\,d\,a^2\,b^6+3\,d\,a\,b^7+d\,b^8\right)\,\left(a^4\,b^3\,d^2+4\,a^3\,b^4\,d^2+6\,a^2\,b^5\,d^2+4\,a\,b^6\,d^2+b^7\,d^2\right)}\right)\,\sqrt{-a\,b^5}\,\left(3\,a^2+10\,a\,b+15\,b^2\right)}{16\,\left(d\,a^3\,b^5+3\,d\,a^2\,b^6+3\,d\,a\,b^7+d\,b^8\right)}\right)\,\left(3\,a^2+10\,a\,b+15\,b^2\right)}{16\,\left(d\,a^3\,b^5+3\,d\,a^2\,b^6+3\,d\,a\,b^7+d\,b^8\right)}}\right)\,\sqrt{-a\,b^5}\,\left(3\,a^2+10\,a\,b+15\,b^2\right)\,1{}\mathrm{i}}{8\,\left(d\,a^3\,b^5+3\,d\,a^2\,b^6+3\,d\,a\,b^7+d\,b^8\right)}","Not used",1,"log(tanh(c + d*x) + 1)/(2*a^3*d + 2*b^3*d + 6*a*b^2*d + 6*a^2*b*d) + ((tanh(c + d*x)^3*(9*a*b + 5*a^2))/(8*b*(2*a*b + a^2 + b^2)) + (a*tanh(c + d*x)*(7*a*b + 3*a^2))/(8*b^2*(2*a*b + a^2 + b^2)))/(a^2*d + b^2*d*tanh(c + d*x)^4 + 2*a*b*d*tanh(c + d*x)^2) - log(tanh(c + d*x) - 1)/(2*d*(a + b)^3) - (atan((((-a*b^5)^(1/2)*((tanh(c + d*x)*(60*a^5*b + 9*a^6 + 64*b^6 + 225*a^2*b^4 + 300*a^3*b^3 + 190*a^4*b^2))/(32*(b^7*d^2 + 4*a*b^6*d^2 + 6*a^2*b^5*d^2 + 4*a^3*b^4*d^2 + a^4*b^3*d^2)) + (((224*a*b^10*d^2 + 1440*a^2*b^9*d^2 + 3936*a^3*b^8*d^2 + 5920*a^4*b^7*d^2 + 5280*a^5*b^6*d^2 + 2784*a^6*b^5*d^2 + 800*a^7*b^4*d^2 + 96*a^8*b^3*d^2)/(64*(b^9*d^3 + 6*a*b^8*d^3 + 15*a^2*b^7*d^3 + 20*a^3*b^6*d^3 + 15*a^4*b^5*d^3 + 6*a^5*b^4*d^3 + a^6*b^3*d^3)) - (tanh(c + d*x)*(-a*b^5)^(1/2)*(10*a*b + 3*a^2 + 15*b^2)*(256*b^12*d^2 + 1280*a*b^11*d^2 + 2304*a^2*b^10*d^2 + 1280*a^3*b^9*d^2 - 1280*a^4*b^8*d^2 - 2304*a^5*b^7*d^2 - 1280*a^6*b^6*d^2 - 256*a^7*b^5*d^2))/(512*(b^8*d + 3*a^2*b^6*d + a^3*b^5*d + 3*a*b^7*d)*(b^7*d^2 + 4*a*b^6*d^2 + 6*a^2*b^5*d^2 + 4*a^3*b^4*d^2 + a^4*b^3*d^2)))*(-a*b^5)^(1/2)*(10*a*b + 3*a^2 + 15*b^2))/(16*(b^8*d + 3*a^2*b^6*d + a^3*b^5*d + 3*a*b^7*d)))*(10*a*b + 3*a^2 + 15*b^2)*1i)/(16*(b^8*d + 3*a^2*b^6*d + a^3*b^5*d + 3*a*b^7*d)) + ((-a*b^5)^(1/2)*((tanh(c + d*x)*(60*a^5*b + 9*a^6 + 64*b^6 + 225*a^2*b^4 + 300*a^3*b^3 + 190*a^4*b^2))/(32*(b^7*d^2 + 4*a*b^6*d^2 + 6*a^2*b^5*d^2 + 4*a^3*b^4*d^2 + a^4*b^3*d^2)) - (((224*a*b^10*d^2 + 1440*a^2*b^9*d^2 + 3936*a^3*b^8*d^2 + 5920*a^4*b^7*d^2 + 5280*a^5*b^6*d^2 + 2784*a^6*b^5*d^2 + 800*a^7*b^4*d^2 + 96*a^8*b^3*d^2)/(64*(b^9*d^3 + 6*a*b^8*d^3 + 15*a^2*b^7*d^3 + 20*a^3*b^6*d^3 + 15*a^4*b^5*d^3 + 6*a^5*b^4*d^3 + a^6*b^3*d^3)) + (tanh(c + d*x)*(-a*b^5)^(1/2)*(10*a*b + 3*a^2 + 15*b^2)*(256*b^12*d^2 + 1280*a*b^11*d^2 + 2304*a^2*b^10*d^2 + 1280*a^3*b^9*d^2 - 1280*a^4*b^8*d^2 - 2304*a^5*b^7*d^2 - 1280*a^6*b^6*d^2 - 256*a^7*b^5*d^2))/(512*(b^8*d + 3*a^2*b^6*d + a^3*b^5*d + 3*a*b^7*d)*(b^7*d^2 + 4*a*b^6*d^2 + 6*a^2*b^5*d^2 + 4*a^3*b^4*d^2 + a^4*b^3*d^2)))*(-a*b^5)^(1/2)*(10*a*b + 3*a^2 + 15*b^2))/(16*(b^8*d + 3*a^2*b^6*d + a^3*b^5*d + 3*a*b^7*d)))*(10*a*b + 3*a^2 + 15*b^2)*1i)/(16*(b^8*d + 3*a^2*b^6*d + a^3*b^5*d + 3*a*b^7*d)))/((120*a*b^4 + 51*a^4*b + 9*a^5 + 185*a^2*b^3 + 139*a^3*b^2)/(32*(b^9*d^3 + 6*a*b^8*d^3 + 15*a^2*b^7*d^3 + 20*a^3*b^6*d^3 + 15*a^4*b^5*d^3 + 6*a^5*b^4*d^3 + a^6*b^3*d^3)) - ((-a*b^5)^(1/2)*((tanh(c + d*x)*(60*a^5*b + 9*a^6 + 64*b^6 + 225*a^2*b^4 + 300*a^3*b^3 + 190*a^4*b^2))/(32*(b^7*d^2 + 4*a*b^6*d^2 + 6*a^2*b^5*d^2 + 4*a^3*b^4*d^2 + a^4*b^3*d^2)) + (((224*a*b^10*d^2 + 1440*a^2*b^9*d^2 + 3936*a^3*b^8*d^2 + 5920*a^4*b^7*d^2 + 5280*a^5*b^6*d^2 + 2784*a^6*b^5*d^2 + 800*a^7*b^4*d^2 + 96*a^8*b^3*d^2)/(64*(b^9*d^3 + 6*a*b^8*d^3 + 15*a^2*b^7*d^3 + 20*a^3*b^6*d^3 + 15*a^4*b^5*d^3 + 6*a^5*b^4*d^3 + a^6*b^3*d^3)) - (tanh(c + d*x)*(-a*b^5)^(1/2)*(10*a*b + 3*a^2 + 15*b^2)*(256*b^12*d^2 + 1280*a*b^11*d^2 + 2304*a^2*b^10*d^2 + 1280*a^3*b^9*d^2 - 1280*a^4*b^8*d^2 - 2304*a^5*b^7*d^2 - 1280*a^6*b^6*d^2 - 256*a^7*b^5*d^2))/(512*(b^8*d + 3*a^2*b^6*d + a^3*b^5*d + 3*a*b^7*d)*(b^7*d^2 + 4*a*b^6*d^2 + 6*a^2*b^5*d^2 + 4*a^3*b^4*d^2 + a^4*b^3*d^2)))*(-a*b^5)^(1/2)*(10*a*b + 3*a^2 + 15*b^2))/(16*(b^8*d + 3*a^2*b^6*d + a^3*b^5*d + 3*a*b^7*d)))*(10*a*b + 3*a^2 + 15*b^2))/(16*(b^8*d + 3*a^2*b^6*d + a^3*b^5*d + 3*a*b^7*d)) + ((-a*b^5)^(1/2)*((tanh(c + d*x)*(60*a^5*b + 9*a^6 + 64*b^6 + 225*a^2*b^4 + 300*a^3*b^3 + 190*a^4*b^2))/(32*(b^7*d^2 + 4*a*b^6*d^2 + 6*a^2*b^5*d^2 + 4*a^3*b^4*d^2 + a^4*b^3*d^2)) - (((224*a*b^10*d^2 + 1440*a^2*b^9*d^2 + 3936*a^3*b^8*d^2 + 5920*a^4*b^7*d^2 + 5280*a^5*b^6*d^2 + 2784*a^6*b^5*d^2 + 800*a^7*b^4*d^2 + 96*a^8*b^3*d^2)/(64*(b^9*d^3 + 6*a*b^8*d^3 + 15*a^2*b^7*d^3 + 20*a^3*b^6*d^3 + 15*a^4*b^5*d^3 + 6*a^5*b^4*d^3 + a^6*b^3*d^3)) + (tanh(c + d*x)*(-a*b^5)^(1/2)*(10*a*b + 3*a^2 + 15*b^2)*(256*b^12*d^2 + 1280*a*b^11*d^2 + 2304*a^2*b^10*d^2 + 1280*a^3*b^9*d^2 - 1280*a^4*b^8*d^2 - 2304*a^5*b^7*d^2 - 1280*a^6*b^6*d^2 - 256*a^7*b^5*d^2))/(512*(b^8*d + 3*a^2*b^6*d + a^3*b^5*d + 3*a*b^7*d)*(b^7*d^2 + 4*a*b^6*d^2 + 6*a^2*b^5*d^2 + 4*a^3*b^4*d^2 + a^4*b^3*d^2)))*(-a*b^5)^(1/2)*(10*a*b + 3*a^2 + 15*b^2))/(16*(b^8*d + 3*a^2*b^6*d + a^3*b^5*d + 3*a*b^7*d)))*(10*a*b + 3*a^2 + 15*b^2))/(16*(b^8*d + 3*a^2*b^6*d + a^3*b^5*d + 3*a*b^7*d))))*(-a*b^5)^(1/2)*(10*a*b + 3*a^2 + 15*b^2)*1i)/(8*(b^8*d + 3*a^2*b^6*d + a^3*b^5*d + 3*a*b^7*d))","B"
191,1,416,109,0.825048,"\text{Not used}","int(tanh(c + d*x)^5/(a + b*tanh(c + d*x)^2)^3,x)","\frac{a^4+a^3\,b\,\left(2\,{\mathrm{tanh}\left(c+d\,x\right)}^2+4\right)-a\,b^3\,\left(-4\,{\mathrm{tanh}\left(c+d\,x\right)}^2+{\mathrm{tanh}\left(c+d\,x\right)}^2\,\mathrm{atan}\left(\frac{a\,{\mathrm{tanh}\left(c+d\,x\right)}^2\,1{}\mathrm{i}+b\,{\mathrm{tanh}\left(c+d\,x\right)}^2\,1{}\mathrm{i}}{2\,a-a\,{\mathrm{tanh}\left(c+d\,x\right)}^2+b\,{\mathrm{tanh}\left(c+d\,x\right)}^2}\right)\,8{}\mathrm{i}\right)+a^2\,b^2\,\left(6\,{\mathrm{tanh}\left(c+d\,x\right)}^2+3-\mathrm{atan}\left(\frac{a\,{\mathrm{tanh}\left(c+d\,x\right)}^2\,1{}\mathrm{i}+b\,{\mathrm{tanh}\left(c+d\,x\right)}^2\,1{}\mathrm{i}}{2\,a-a\,{\mathrm{tanh}\left(c+d\,x\right)}^2+b\,{\mathrm{tanh}\left(c+d\,x\right)}^2}\right)\,4{}\mathrm{i}\right)-b^4\,{\mathrm{tanh}\left(c+d\,x\right)}^4\,\mathrm{atan}\left(\frac{a\,{\mathrm{tanh}\left(c+d\,x\right)}^2\,1{}\mathrm{i}+b\,{\mathrm{tanh}\left(c+d\,x\right)}^2\,1{}\mathrm{i}}{2\,a-a\,{\mathrm{tanh}\left(c+d\,x\right)}^2+b\,{\mathrm{tanh}\left(c+d\,x\right)}^2}\right)\,4{}\mathrm{i}}{4\,d\,a^5\,b^2+8\,d\,a^4\,b^3\,{\mathrm{tanh}\left(c+d\,x\right)}^2+12\,d\,a^4\,b^3+4\,d\,a^3\,b^4\,{\mathrm{tanh}\left(c+d\,x\right)}^4+24\,d\,a^3\,b^4\,{\mathrm{tanh}\left(c+d\,x\right)}^2+12\,d\,a^3\,b^4+12\,d\,a^2\,b^5\,{\mathrm{tanh}\left(c+d\,x\right)}^4+24\,d\,a^2\,b^5\,{\mathrm{tanh}\left(c+d\,x\right)}^2+4\,d\,a^2\,b^5+12\,d\,a\,b^6\,{\mathrm{tanh}\left(c+d\,x\right)}^4+8\,d\,a\,b^6\,{\mathrm{tanh}\left(c+d\,x\right)}^2+4\,d\,b^7\,{\mathrm{tanh}\left(c+d\,x\right)}^4}","Not used",1,"(a^4 + a^3*b*(2*tanh(c + d*x)^2 + 4) - a*b^3*(tanh(c + d*x)^2*atan((a*tanh(c + d*x)^2*1i + b*tanh(c + d*x)^2*1i)/(2*a - a*tanh(c + d*x)^2 + b*tanh(c + d*x)^2))*8i - 4*tanh(c + d*x)^2) + a^2*b^2*(6*tanh(c + d*x)^2 - atan((a*tanh(c + d*x)^2*1i + b*tanh(c + d*x)^2*1i)/(2*a - a*tanh(c + d*x)^2 + b*tanh(c + d*x)^2))*4i + 3) - b^4*tanh(c + d*x)^4*atan((a*tanh(c + d*x)^2*1i + b*tanh(c + d*x)^2*1i)/(2*a - a*tanh(c + d*x)^2 + b*tanh(c + d*x)^2))*4i)/(4*a^2*b^5*d + 12*a^3*b^4*d + 12*a^4*b^3*d + 4*a^5*b^2*d + 4*b^7*d*tanh(c + d*x)^4 + 24*a^2*b^5*d*tanh(c + d*x)^2 + 24*a^3*b^4*d*tanh(c + d*x)^2 + 8*a^4*b^3*d*tanh(c + d*x)^2 + 12*a^2*b^5*d*tanh(c + d*x)^4 + 4*a^3*b^4*d*tanh(c + d*x)^4 + 8*a*b^6*d*tanh(c + d*x)^2 + 12*a*b^6*d*tanh(c + d*x)^4)","B"
192,1,2574,137,1.856081,"\text{Not used}","int(tanh(c + d*x)^4/(a + b*tanh(c + d*x)^2)^3,x)","\frac{\ln\left(\mathrm{tanh}\left(c+d\,x\right)+1\right)}{2\,d\,a^3+6\,d\,a^2\,b+6\,d\,a\,b^2+2\,d\,b^3}-\frac{\frac{{\mathrm{tanh}\left(c+d\,x\right)}^3\,\left(a+5\,b\right)}{8\,\left(a^2+2\,a\,b+b^2\right)}-\frac{a\,\mathrm{tanh}\left(c+d\,x\right)\,\left(a-3\,b\right)}{8\,b\,\left(a^2+2\,a\,b+b^2\right)}}{d\,a^2+2\,d\,a\,b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+d\,b^2\,{\mathrm{tanh}\left(c+d\,x\right)}^4}-\frac{\ln\left(\mathrm{tanh}\left(c+d\,x\right)-1\right)}{2\,d\,{\left(a+b\right)}^3}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\mathrm{tanh}\left(c+d\,x\right)\,\left(a^4+12\,a^3\,b+30\,a^2\,b^2-36\,a\,b^3+73\,b^4\right)}{32\,\left(a^4\,b\,d^2+4\,a^3\,b^2\,d^2+6\,a^2\,b^3\,d^2+4\,a\,b^4\,d^2+b^5\,d^2\right)}+\frac{\left(\frac{-32\,a^7\,b^2\,d^2-96\,a^6\,b^3\,d^2+96\,a^5\,b^4\,d^2+800\,a^4\,b^5\,d^2+1440\,a^3\,b^6\,d^2+1248\,a^2\,b^7\,d^2+544\,a\,b^8\,d^2+96\,b^9\,d^2}{64\,\left(a^6\,b\,d^3+6\,a^5\,b^2\,d^3+15\,a^4\,b^3\,d^3+20\,a^3\,b^4\,d^3+15\,a^2\,b^5\,d^3+6\,a\,b^6\,d^3+b^7\,d^3\right)}-\frac{\mathrm{tanh}\left(c+d\,x\right)\,\sqrt{-a\,b^3}\,\left(a^2+6\,a\,b-3\,b^2\right)\,\left(-256\,a^7\,b^3\,d^2-1280\,a^6\,b^4\,d^2-2304\,a^5\,b^5\,d^2-1280\,a^4\,b^6\,d^2+1280\,a^3\,b^7\,d^2+2304\,a^2\,b^8\,d^2+1280\,a\,b^9\,d^2+256\,b^{10}\,d^2\right)}{512\,\left(d\,a^4\,b^3+3\,d\,a^3\,b^4+3\,d\,a^2\,b^5+d\,a\,b^6\right)\,\left(a^4\,b\,d^2+4\,a^3\,b^2\,d^2+6\,a^2\,b^3\,d^2+4\,a\,b^4\,d^2+b^5\,d^2\right)}\right)\,\sqrt{-a\,b^3}\,\left(a^2+6\,a\,b-3\,b^2\right)}{16\,\left(d\,a^4\,b^3+3\,d\,a^3\,b^4+3\,d\,a^2\,b^5+d\,a\,b^6\right)}\right)\,\sqrt{-a\,b^3}\,\left(a^2+6\,a\,b-3\,b^2\right)\,1{}\mathrm{i}}{16\,\left(d\,a^4\,b^3+3\,d\,a^3\,b^4+3\,d\,a^2\,b^5+d\,a\,b^6\right)}+\frac{\left(\frac{\mathrm{tanh}\left(c+d\,x\right)\,\left(a^4+12\,a^3\,b+30\,a^2\,b^2-36\,a\,b^3+73\,b^4\right)}{32\,\left(a^4\,b\,d^2+4\,a^3\,b^2\,d^2+6\,a^2\,b^3\,d^2+4\,a\,b^4\,d^2+b^5\,d^2\right)}-\frac{\left(\frac{-32\,a^7\,b^2\,d^2-96\,a^6\,b^3\,d^2+96\,a^5\,b^4\,d^2+800\,a^4\,b^5\,d^2+1440\,a^3\,b^6\,d^2+1248\,a^2\,b^7\,d^2+544\,a\,b^8\,d^2+96\,b^9\,d^2}{64\,\left(a^6\,b\,d^3+6\,a^5\,b^2\,d^3+15\,a^4\,b^3\,d^3+20\,a^3\,b^4\,d^3+15\,a^2\,b^5\,d^3+6\,a\,b^6\,d^3+b^7\,d^3\right)}+\frac{\mathrm{tanh}\left(c+d\,x\right)\,\sqrt{-a\,b^3}\,\left(a^2+6\,a\,b-3\,b^2\right)\,\left(-256\,a^7\,b^3\,d^2-1280\,a^6\,b^4\,d^2-2304\,a^5\,b^5\,d^2-1280\,a^4\,b^6\,d^2+1280\,a^3\,b^7\,d^2+2304\,a^2\,b^8\,d^2+1280\,a\,b^9\,d^2+256\,b^{10}\,d^2\right)}{512\,\left(d\,a^4\,b^3+3\,d\,a^3\,b^4+3\,d\,a^2\,b^5+d\,a\,b^6\right)\,\left(a^4\,b\,d^2+4\,a^3\,b^2\,d^2+6\,a^2\,b^3\,d^2+4\,a\,b^4\,d^2+b^5\,d^2\right)}\right)\,\sqrt{-a\,b^3}\,\left(a^2+6\,a\,b-3\,b^2\right)}{16\,\left(d\,a^4\,b^3+3\,d\,a^3\,b^4+3\,d\,a^2\,b^5+d\,a\,b^6\right)}\right)\,\sqrt{-a\,b^3}\,\left(a^2+6\,a\,b-3\,b^2\right)\,1{}\mathrm{i}}{16\,\left(d\,a^4\,b^3+3\,d\,a^3\,b^4+3\,d\,a^2\,b^5+d\,a\,b^6\right)}}{\frac{a^3+11\,a^2\,b+27\,a\,b^2-15\,b^3}{32\,\left(a^6\,b\,d^3+6\,a^5\,b^2\,d^3+15\,a^4\,b^3\,d^3+20\,a^3\,b^4\,d^3+15\,a^2\,b^5\,d^3+6\,a\,b^6\,d^3+b^7\,d^3\right)}+\frac{\left(\frac{\mathrm{tanh}\left(c+d\,x\right)\,\left(a^4+12\,a^3\,b+30\,a^2\,b^2-36\,a\,b^3+73\,b^4\right)}{32\,\left(a^4\,b\,d^2+4\,a^3\,b^2\,d^2+6\,a^2\,b^3\,d^2+4\,a\,b^4\,d^2+b^5\,d^2\right)}+\frac{\left(\frac{-32\,a^7\,b^2\,d^2-96\,a^6\,b^3\,d^2+96\,a^5\,b^4\,d^2+800\,a^4\,b^5\,d^2+1440\,a^3\,b^6\,d^2+1248\,a^2\,b^7\,d^2+544\,a\,b^8\,d^2+96\,b^9\,d^2}{64\,\left(a^6\,b\,d^3+6\,a^5\,b^2\,d^3+15\,a^4\,b^3\,d^3+20\,a^3\,b^4\,d^3+15\,a^2\,b^5\,d^3+6\,a\,b^6\,d^3+b^7\,d^3\right)}-\frac{\mathrm{tanh}\left(c+d\,x\right)\,\sqrt{-a\,b^3}\,\left(a^2+6\,a\,b-3\,b^2\right)\,\left(-256\,a^7\,b^3\,d^2-1280\,a^6\,b^4\,d^2-2304\,a^5\,b^5\,d^2-1280\,a^4\,b^6\,d^2+1280\,a^3\,b^7\,d^2+2304\,a^2\,b^8\,d^2+1280\,a\,b^9\,d^2+256\,b^{10}\,d^2\right)}{512\,\left(d\,a^4\,b^3+3\,d\,a^3\,b^4+3\,d\,a^2\,b^5+d\,a\,b^6\right)\,\left(a^4\,b\,d^2+4\,a^3\,b^2\,d^2+6\,a^2\,b^3\,d^2+4\,a\,b^4\,d^2+b^5\,d^2\right)}\right)\,\sqrt{-a\,b^3}\,\left(a^2+6\,a\,b-3\,b^2\right)}{16\,\left(d\,a^4\,b^3+3\,d\,a^3\,b^4+3\,d\,a^2\,b^5+d\,a\,b^6\right)}\right)\,\sqrt{-a\,b^3}\,\left(a^2+6\,a\,b-3\,b^2\right)}{16\,\left(d\,a^4\,b^3+3\,d\,a^3\,b^4+3\,d\,a^2\,b^5+d\,a\,b^6\right)}-\frac{\left(\frac{\mathrm{tanh}\left(c+d\,x\right)\,\left(a^4+12\,a^3\,b+30\,a^2\,b^2-36\,a\,b^3+73\,b^4\right)}{32\,\left(a^4\,b\,d^2+4\,a^3\,b^2\,d^2+6\,a^2\,b^3\,d^2+4\,a\,b^4\,d^2+b^5\,d^2\right)}-\frac{\left(\frac{-32\,a^7\,b^2\,d^2-96\,a^6\,b^3\,d^2+96\,a^5\,b^4\,d^2+800\,a^4\,b^5\,d^2+1440\,a^3\,b^6\,d^2+1248\,a^2\,b^7\,d^2+544\,a\,b^8\,d^2+96\,b^9\,d^2}{64\,\left(a^6\,b\,d^3+6\,a^5\,b^2\,d^3+15\,a^4\,b^3\,d^3+20\,a^3\,b^4\,d^3+15\,a^2\,b^5\,d^3+6\,a\,b^6\,d^3+b^7\,d^3\right)}+\frac{\mathrm{tanh}\left(c+d\,x\right)\,\sqrt{-a\,b^3}\,\left(a^2+6\,a\,b-3\,b^2\right)\,\left(-256\,a^7\,b^3\,d^2-1280\,a^6\,b^4\,d^2-2304\,a^5\,b^5\,d^2-1280\,a^4\,b^6\,d^2+1280\,a^3\,b^7\,d^2+2304\,a^2\,b^8\,d^2+1280\,a\,b^9\,d^2+256\,b^{10}\,d^2\right)}{512\,\left(d\,a^4\,b^3+3\,d\,a^3\,b^4+3\,d\,a^2\,b^5+d\,a\,b^6\right)\,\left(a^4\,b\,d^2+4\,a^3\,b^2\,d^2+6\,a^2\,b^3\,d^2+4\,a\,b^4\,d^2+b^5\,d^2\right)}\right)\,\sqrt{-a\,b^3}\,\left(a^2+6\,a\,b-3\,b^2\right)}{16\,\left(d\,a^4\,b^3+3\,d\,a^3\,b^4+3\,d\,a^2\,b^5+d\,a\,b^6\right)}\right)\,\sqrt{-a\,b^3}\,\left(a^2+6\,a\,b-3\,b^2\right)}{16\,\left(d\,a^4\,b^3+3\,d\,a^3\,b^4+3\,d\,a^2\,b^5+d\,a\,b^6\right)}}\right)\,\sqrt{-a\,b^3}\,\left(a^2+6\,a\,b-3\,b^2\right)\,1{}\mathrm{i}}{8\,\left(d\,a^4\,b^3+3\,d\,a^3\,b^4+3\,d\,a^2\,b^5+d\,a\,b^6\right)}","Not used",1,"log(tanh(c + d*x) + 1)/(2*a^3*d + 2*b^3*d + 6*a*b^2*d + 6*a^2*b*d) - ((tanh(c + d*x)^3*(a + 5*b))/(8*(2*a*b + a^2 + b^2)) - (a*tanh(c + d*x)*(a - 3*b))/(8*b*(2*a*b + a^2 + b^2)))/(a^2*d + b^2*d*tanh(c + d*x)^4 + 2*a*b*d*tanh(c + d*x)^2) - log(tanh(c + d*x) - 1)/(2*d*(a + b)^3) - (atan(((((tanh(c + d*x)*(12*a^3*b - 36*a*b^3 + a^4 + 73*b^4 + 30*a^2*b^2))/(32*(b^5*d^2 + 4*a*b^4*d^2 + a^4*b*d^2 + 6*a^2*b^3*d^2 + 4*a^3*b^2*d^2)) + (((96*b^9*d^2 + 544*a*b^8*d^2 + 1248*a^2*b^7*d^2 + 1440*a^3*b^6*d^2 + 800*a^4*b^5*d^2 + 96*a^5*b^4*d^2 - 96*a^6*b^3*d^2 - 32*a^7*b^2*d^2)/(64*(b^7*d^3 + 6*a*b^6*d^3 + a^6*b*d^3 + 15*a^2*b^5*d^3 + 20*a^3*b^4*d^3 + 15*a^4*b^3*d^3 + 6*a^5*b^2*d^3)) - (tanh(c + d*x)*(-a*b^3)^(1/2)*(6*a*b + a^2 - 3*b^2)*(256*b^10*d^2 + 1280*a*b^9*d^2 + 2304*a^2*b^8*d^2 + 1280*a^3*b^7*d^2 - 1280*a^4*b^6*d^2 - 2304*a^5*b^5*d^2 - 1280*a^6*b^4*d^2 - 256*a^7*b^3*d^2))/(512*(3*a^2*b^5*d + 3*a^3*b^4*d + a^4*b^3*d + a*b^6*d)*(b^5*d^2 + 4*a*b^4*d^2 + a^4*b*d^2 + 6*a^2*b^3*d^2 + 4*a^3*b^2*d^2)))*(-a*b^3)^(1/2)*(6*a*b + a^2 - 3*b^2))/(16*(3*a^2*b^5*d + 3*a^3*b^4*d + a^4*b^3*d + a*b^6*d)))*(-a*b^3)^(1/2)*(6*a*b + a^2 - 3*b^2)*1i)/(16*(3*a^2*b^5*d + 3*a^3*b^4*d + a^4*b^3*d + a*b^6*d)) + (((tanh(c + d*x)*(12*a^3*b - 36*a*b^3 + a^4 + 73*b^4 + 30*a^2*b^2))/(32*(b^5*d^2 + 4*a*b^4*d^2 + a^4*b*d^2 + 6*a^2*b^3*d^2 + 4*a^3*b^2*d^2)) - (((96*b^9*d^2 + 544*a*b^8*d^2 + 1248*a^2*b^7*d^2 + 1440*a^3*b^6*d^2 + 800*a^4*b^5*d^2 + 96*a^5*b^4*d^2 - 96*a^6*b^3*d^2 - 32*a^7*b^2*d^2)/(64*(b^7*d^3 + 6*a*b^6*d^3 + a^6*b*d^3 + 15*a^2*b^5*d^3 + 20*a^3*b^4*d^3 + 15*a^4*b^3*d^3 + 6*a^5*b^2*d^3)) + (tanh(c + d*x)*(-a*b^3)^(1/2)*(6*a*b + a^2 - 3*b^2)*(256*b^10*d^2 + 1280*a*b^9*d^2 + 2304*a^2*b^8*d^2 + 1280*a^3*b^7*d^2 - 1280*a^4*b^6*d^2 - 2304*a^5*b^5*d^2 - 1280*a^6*b^4*d^2 - 256*a^7*b^3*d^2))/(512*(3*a^2*b^5*d + 3*a^3*b^4*d + a^4*b^3*d + a*b^6*d)*(b^5*d^2 + 4*a*b^4*d^2 + a^4*b*d^2 + 6*a^2*b^3*d^2 + 4*a^3*b^2*d^2)))*(-a*b^3)^(1/2)*(6*a*b + a^2 - 3*b^2))/(16*(3*a^2*b^5*d + 3*a^3*b^4*d + a^4*b^3*d + a*b^6*d)))*(-a*b^3)^(1/2)*(6*a*b + a^2 - 3*b^2)*1i)/(16*(3*a^2*b^5*d + 3*a^3*b^4*d + a^4*b^3*d + a*b^6*d)))/((27*a*b^2 + 11*a^2*b + a^3 - 15*b^3)/(32*(b^7*d^3 + 6*a*b^6*d^3 + a^6*b*d^3 + 15*a^2*b^5*d^3 + 20*a^3*b^4*d^3 + 15*a^4*b^3*d^3 + 6*a^5*b^2*d^3)) + (((tanh(c + d*x)*(12*a^3*b - 36*a*b^3 + a^4 + 73*b^4 + 30*a^2*b^2))/(32*(b^5*d^2 + 4*a*b^4*d^2 + a^4*b*d^2 + 6*a^2*b^3*d^2 + 4*a^3*b^2*d^2)) + (((96*b^9*d^2 + 544*a*b^8*d^2 + 1248*a^2*b^7*d^2 + 1440*a^3*b^6*d^2 + 800*a^4*b^5*d^2 + 96*a^5*b^4*d^2 - 96*a^6*b^3*d^2 - 32*a^7*b^2*d^2)/(64*(b^7*d^3 + 6*a*b^6*d^3 + a^6*b*d^3 + 15*a^2*b^5*d^3 + 20*a^3*b^4*d^3 + 15*a^4*b^3*d^3 + 6*a^5*b^2*d^3)) - (tanh(c + d*x)*(-a*b^3)^(1/2)*(6*a*b + a^2 - 3*b^2)*(256*b^10*d^2 + 1280*a*b^9*d^2 + 2304*a^2*b^8*d^2 + 1280*a^3*b^7*d^2 - 1280*a^4*b^6*d^2 - 2304*a^5*b^5*d^2 - 1280*a^6*b^4*d^2 - 256*a^7*b^3*d^2))/(512*(3*a^2*b^5*d + 3*a^3*b^4*d + a^4*b^3*d + a*b^6*d)*(b^5*d^2 + 4*a*b^4*d^2 + a^4*b*d^2 + 6*a^2*b^3*d^2 + 4*a^3*b^2*d^2)))*(-a*b^3)^(1/2)*(6*a*b + a^2 - 3*b^2))/(16*(3*a^2*b^5*d + 3*a^3*b^4*d + a^4*b^3*d + a*b^6*d)))*(-a*b^3)^(1/2)*(6*a*b + a^2 - 3*b^2))/(16*(3*a^2*b^5*d + 3*a^3*b^4*d + a^4*b^3*d + a*b^6*d)) - (((tanh(c + d*x)*(12*a^3*b - 36*a*b^3 + a^4 + 73*b^4 + 30*a^2*b^2))/(32*(b^5*d^2 + 4*a*b^4*d^2 + a^4*b*d^2 + 6*a^2*b^3*d^2 + 4*a^3*b^2*d^2)) - (((96*b^9*d^2 + 544*a*b^8*d^2 + 1248*a^2*b^7*d^2 + 1440*a^3*b^6*d^2 + 800*a^4*b^5*d^2 + 96*a^5*b^4*d^2 - 96*a^6*b^3*d^2 - 32*a^7*b^2*d^2)/(64*(b^7*d^3 + 6*a*b^6*d^3 + a^6*b*d^3 + 15*a^2*b^5*d^3 + 20*a^3*b^4*d^3 + 15*a^4*b^3*d^3 + 6*a^5*b^2*d^3)) + (tanh(c + d*x)*(-a*b^3)^(1/2)*(6*a*b + a^2 - 3*b^2)*(256*b^10*d^2 + 1280*a*b^9*d^2 + 2304*a^2*b^8*d^2 + 1280*a^3*b^7*d^2 - 1280*a^4*b^6*d^2 - 2304*a^5*b^5*d^2 - 1280*a^6*b^4*d^2 - 256*a^7*b^3*d^2))/(512*(3*a^2*b^5*d + 3*a^3*b^4*d + a^4*b^3*d + a*b^6*d)*(b^5*d^2 + 4*a*b^4*d^2 + a^4*b*d^2 + 6*a^2*b^3*d^2 + 4*a^3*b^2*d^2)))*(-a*b^3)^(1/2)*(6*a*b + a^2 - 3*b^2))/(16*(3*a^2*b^5*d + 3*a^3*b^4*d + a^4*b^3*d + a*b^6*d)))*(-a*b^3)^(1/2)*(6*a*b + a^2 - 3*b^2))/(16*(3*a^2*b^5*d + 3*a^3*b^4*d + a^4*b^3*d + a*b^6*d))))*(-a*b^3)^(1/2)*(6*a*b + a^2 - 3*b^2)*1i)/(8*(3*a^2*b^5*d + 3*a^3*b^4*d + a^4*b^3*d + a*b^6*d))","B"
193,1,397,98,1.805417,"\text{Not used}","int(tanh(c + d*x)^3/(a + b*tanh(c + d*x)^2)^3,x)","-\frac{-a^3+b^3\,\left(2\,{\mathrm{tanh}\left(c+d\,x\right)}^2+{\mathrm{tanh}\left(c+d\,x\right)}^4\,\mathrm{atan}\left(\frac{a\,{\mathrm{tanh}\left(c+d\,x\right)}^2\,1{}\mathrm{i}+b\,{\mathrm{tanh}\left(c+d\,x\right)}^2\,1{}\mathrm{i}}{2\,a-a\,{\mathrm{tanh}\left(c+d\,x\right)}^2+b\,{\mathrm{tanh}\left(c+d\,x\right)}^2}\right)\,4{}\mathrm{i}\right)+a\,b^2\,\left(2\,{\mathrm{tanh}\left(c+d\,x\right)}^2+1+{\mathrm{tanh}\left(c+d\,x\right)}^2\,\mathrm{atan}\left(\frac{a\,{\mathrm{tanh}\left(c+d\,x\right)}^2\,1{}\mathrm{i}+b\,{\mathrm{tanh}\left(c+d\,x\right)}^2\,1{}\mathrm{i}}{2\,a-a\,{\mathrm{tanh}\left(c+d\,x\right)}^2+b\,{\mathrm{tanh}\left(c+d\,x\right)}^2}\right)\,8{}\mathrm{i}\right)+a^2\,b\,\mathrm{atan}\left(\frac{a\,{\mathrm{tanh}\left(c+d\,x\right)}^2\,1{}\mathrm{i}+b\,{\mathrm{tanh}\left(c+d\,x\right)}^2\,1{}\mathrm{i}}{2\,a-a\,{\mathrm{tanh}\left(c+d\,x\right)}^2+b\,{\mathrm{tanh}\left(c+d\,x\right)}^2}\right)\,4{}\mathrm{i}}{4\,d\,a^5\,b+8\,d\,a^4\,b^2\,{\mathrm{tanh}\left(c+d\,x\right)}^2+12\,d\,a^4\,b^2+4\,d\,a^3\,b^3\,{\mathrm{tanh}\left(c+d\,x\right)}^4+24\,d\,a^3\,b^3\,{\mathrm{tanh}\left(c+d\,x\right)}^2+12\,d\,a^3\,b^3+12\,d\,a^2\,b^4\,{\mathrm{tanh}\left(c+d\,x\right)}^4+24\,d\,a^2\,b^4\,{\mathrm{tanh}\left(c+d\,x\right)}^2+4\,d\,a^2\,b^4+12\,d\,a\,b^5\,{\mathrm{tanh}\left(c+d\,x\right)}^4+8\,d\,a\,b^5\,{\mathrm{tanh}\left(c+d\,x\right)}^2+4\,d\,b^6\,{\mathrm{tanh}\left(c+d\,x\right)}^4}","Not used",1,"-(b^3*(tanh(c + d*x)^4*atan((a*tanh(c + d*x)^2*1i + b*tanh(c + d*x)^2*1i)/(2*a - a*tanh(c + d*x)^2 + b*tanh(c + d*x)^2))*4i + 2*tanh(c + d*x)^2) - a^3 + a*b^2*(tanh(c + d*x)^2*atan((a*tanh(c + d*x)^2*1i + b*tanh(c + d*x)^2*1i)/(2*a - a*tanh(c + d*x)^2 + b*tanh(c + d*x)^2))*8i + 2*tanh(c + d*x)^2 + 1) + a^2*b*atan((a*tanh(c + d*x)^2*1i + b*tanh(c + d*x)^2*1i)/(2*a - a*tanh(c + d*x)^2 + b*tanh(c + d*x)^2))*4i)/(4*a^2*b^4*d + 12*a^3*b^3*d + 12*a^4*b^2*d + 4*b^6*d*tanh(c + d*x)^4 + 4*a^5*b*d + 24*a^2*b^4*d*tanh(c + d*x)^2 + 24*a^3*b^3*d*tanh(c + d*x)^2 + 8*a^4*b^2*d*tanh(c + d*x)^2 + 12*a^2*b^4*d*tanh(c + d*x)^4 + 4*a^3*b^3*d*tanh(c + d*x)^4 + 8*a*b^5*d*tanh(c + d*x)^2 + 12*a*b^5*d*tanh(c + d*x)^4)","B"
194,1,255,137,3.471278,"\text{Not used}","int(tanh(c + d*x)^2/(a + b*tanh(c + d*x)^2)^3,x)","\frac{\frac{a^2\,x}{\left(a+b\right)\,\left(a^2+2\,a\,b+b^2\right)}-\frac{\mathrm{tanh}\left(c+d\,x\right)\,\left(5\,a+b\right)}{8\,d\,\left(a^2+2\,a\,b+b^2\right)}+\frac{b^2\,x\,{\mathrm{tanh}\left(c+d\,x\right)}^4}{a^3+3\,a^2\,b+3\,a\,b^2+b^3}+\frac{2\,a\,b\,x\,{\mathrm{tanh}\left(c+d\,x\right)}^2}{a^3+3\,a^2\,b+3\,a\,b^2+b^3}-\frac{{\mathrm{tanh}\left(c+d\,x\right)}^3\,\left(3\,a\,b-b^2\right)}{8\,a\,d\,\left(a^2+2\,a\,b+b^2\right)}}{a^2+2\,a\,b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+b^2\,{\mathrm{tanh}\left(c+d\,x\right)}^4}+\frac{\mathrm{atan}\left(\frac{b\,\mathrm{tanh}\left(c+d\,x\right)}{\sqrt{a\,b}}\right)\,\left(-3\,a^2+6\,a\,b+b^2\right)}{\sqrt{a\,b}\,\left(8\,a^4\,d+a\,b\,\left(24\,d\,a^2+24\,d\,a\,b+8\,d\,b^2\right)\right)}","Not used",1,"((a^2*x)/((a + b)*(2*a*b + a^2 + b^2)) - (tanh(c + d*x)*(5*a + b))/(8*d*(2*a*b + a^2 + b^2)) + (b^2*x*tanh(c + d*x)^4)/(3*a*b^2 + 3*a^2*b + a^3 + b^3) + (2*a*b*x*tanh(c + d*x)^2)/(3*a*b^2 + 3*a^2*b + a^3 + b^3) - (tanh(c + d*x)^3*(3*a*b - b^2))/(8*a*d*(2*a*b + a^2 + b^2)))/(a^2 + b^2*tanh(c + d*x)^4 + 2*a*b*tanh(c + d*x)^2) + (atan((b*tanh(c + d*x))/(a*b)^(1/2))*(6*a*b - 3*a^2 + b^2))/((a*b)^(1/2)*(8*a^4*d + a*b*(24*a^2*d + 8*b^2*d + 24*a*b*d)))","B"
195,1,235,94,2.254631,"\text{Not used}","int(tanh(c + d*x)/(a + b*tanh(c + d*x)^2)^3,x)","\frac{\ln\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}{2\,d\,a^3+6\,d\,a^2\,b+6\,d\,a\,b^2+2\,d\,b^3}-\frac{\ln\left(1-\mathrm{tanh}\left(c+d\,x\right)\right)}{2\,d\,a^3+6\,d\,a^2\,b+6\,d\,a\,b^2+2\,d\,b^3}-\frac{\ln\left(\mathrm{tanh}\left(c+d\,x\right)+1\right)}{2\,d\,a^3+6\,d\,a^2\,b+6\,d\,a\,b^2+2\,d\,b^3}+\frac{\frac{{\mathrm{tanh}\left(c+d\,x\right)}^4\,\left(\frac{b^3}{4}+\frac{3\,a\,b^2}{4}\right)}{a^2\,d\,\left(a^2+2\,a\,b+b^2\right)}+\frac{{\mathrm{tanh}\left(c+d\,x\right)}^2\,\left(\frac{b^2}{2}+a\,b\right)}{a\,d\,\left(a^2+2\,a\,b+b^2\right)}}{a^2+2\,a\,b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+b^2\,{\mathrm{tanh}\left(c+d\,x\right)}^4}","Not used",1,"log(a + b*tanh(c + d*x)^2)/(2*a^3*d + 2*b^3*d + 6*a*b^2*d + 6*a^2*b*d) - log(1 - tanh(c + d*x))/(2*a^3*d + 2*b^3*d + 6*a*b^2*d + 6*a^2*b*d) - log(tanh(c + d*x) + 1)/(2*a^3*d + 2*b^3*d + 6*a*b^2*d + 6*a^2*b*d) + ((tanh(c + d*x)^4*((3*a*b^2)/4 + b^3/4))/(a^2*d*(2*a*b + a^2 + b^2)) + (tanh(c + d*x)^2*(a*b + b^2/2))/(a*d*(2*a*b + a^2 + b^2)))/(a^2 + b^2*tanh(c + d*x)^4 + 2*a*b*tanh(c + d*x)^2)","B"
196,1,260,142,0.896940,"\text{Not used}","int(1/(a + b*tanh(c + d*x)^2)^3,x)","\frac{\ln\left(\mathrm{tanh}\left(c+d\,x\right)+1\right)}{2\,d\,a^3+6\,d\,a^2\,b+6\,d\,a\,b^2+2\,d\,b^3}-\frac{\ln\left(1-\mathrm{tanh}\left(c+d\,x\right)\right)}{2\,d\,a^3+6\,d\,a^2\,b+6\,d\,a\,b^2+2\,d\,b^3}+\frac{\frac{{\mathrm{tanh}\left(c+d\,x\right)}^3\,\left(\frac{3\,b^3}{8}+\frac{7\,a\,b^2}{8}\right)}{a^2\,d\,\left(a^2+2\,a\,b+b^2\right)}+\frac{\mathrm{tanh}\left(c+d\,x\right)\,\left(5\,b^2+9\,a\,b\right)}{8\,a\,d\,\left(a^2+2\,a\,b+b^2\right)}}{a^2+2\,a\,b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+b^2\,{\mathrm{tanh}\left(c+d\,x\right)}^4}+\frac{\mathrm{atan}\left(\frac{b\,\mathrm{tanh}\left(c+d\,x\right)}{\sqrt{a\,b}}\right)\,\left(15\,a^2\,b+10\,a\,b^2+3\,b^3\right)}{\sqrt{a\,b}\,\left(8\,a^5\,d+a\,b\,\left(24\,a^3\,d+a\,b\,\left(24\,a\,d+8\,b\,d\right)\right)\right)}","Not used",1,"log(tanh(c + d*x) + 1)/(2*a^3*d + 2*b^3*d + 6*a*b^2*d + 6*a^2*b*d) - log(1 - tanh(c + d*x))/(2*a^3*d + 2*b^3*d + 6*a*b^2*d + 6*a^2*b*d) + ((tanh(c + d*x)^3*((7*a*b^2)/8 + (3*b^3)/8))/(a^2*d*(2*a*b + a^2 + b^2)) + (tanh(c + d*x)*(9*a*b + 5*b^2))/(8*a*d*(2*a*b + a^2 + b^2)))/(a^2 + b^2*tanh(c + d*x)^4 + 2*a*b*tanh(c + d*x)^2) + (atan((b*tanh(c + d*x))/(a*b)^(1/2))*(10*a*b^2 + 15*a^2*b + 3*b^3))/((a*b)^(1/2)*(8*a^5*d + a*b*(24*a^3*d + a*b*(24*a*d + 8*b*d))))","B"
197,0,-1,138,0.000000,"\text{Not used}","int(coth(c + d*x)/(a + b*tanh(c + d*x)^2)^3,x)","\int \frac{\mathrm{coth}\left(c+d\,x\right)}{{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(coth(c + d*x)/(a + b*tanh(c + d*x)^2)^3, x)","F"
198,0,-1,178,0.000000,"\text{Not used}","int(coth(c + d*x)^2/(a + b*tanh(c + d*x)^2)^3,x)","\int \frac{{\mathrm{coth}\left(c+d\,x\right)}^2}{{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(coth(c + d*x)^2/(a + b*tanh(c + d*x)^2)^3, x)","F"
199,0,-1,171,0.000000,"\text{Not used}","int(coth(c + d*x)^3/(a + b*tanh(c + d*x)^2)^3,x)","\int \frac{{\mathrm{coth}\left(c+d\,x\right)}^3}{{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(coth(c + d*x)^3/(a + b*tanh(c + d*x)^2)^3, x)","F"
200,0,-1,228,0.000000,"\text{Not used}","int(coth(c + d*x)^4/(a + b*tanh(c + d*x)^2)^3,x)","\int \frac{{\mathrm{coth}\left(c+d\,x\right)}^4}{{\left(b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(coth(c + d*x)^4/(a + b*tanh(c + d*x)^2)^3, x)","F"
201,1,3685,201,1.379885,"\text{Not used}","int(1/(a + b*tanh(c + d*x)^2)^4,x)","\frac{\ln\left(\mathrm{tanh}\left(c+d\,x\right)+1\right)}{2\,d\,a^4+8\,d\,a^3\,b+12\,d\,a^2\,b^2+8\,d\,a\,b^3+2\,d\,b^4}+\frac{\frac{{\mathrm{tanh}\left(c+d\,x\right)}^3\,\left(17\,a^2\,b^2+16\,a\,b^3+5\,b^4\right)}{6\,a^2\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)}+\frac{\mathrm{tanh}\left(c+d\,x\right)\,\left(29\,a^2\,b+32\,a\,b^2+11\,b^3\right)}{16\,a\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)}+\frac{b^2\,{\mathrm{tanh}\left(c+d\,x\right)}^5\,\left(19\,a^2\,b+16\,a\,b^2+5\,b^3\right)}{16\,a^2\,\left(a^4+3\,a^3\,b+3\,a^2\,b^2+a\,b^3\right)}}{d\,a^3+3\,d\,a^2\,b\,{\mathrm{tanh}\left(c+d\,x\right)}^2+3\,d\,a\,b^2\,{\mathrm{tanh}\left(c+d\,x\right)}^4+d\,b^3\,{\mathrm{tanh}\left(c+d\,x\right)}^6}-\frac{\ln\left(\mathrm{tanh}\left(c+d\,x\right)-1\right)}{2\,d\,{\left(a+b\right)}^4}-\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-a^7\,b}\,\left(\frac{\mathrm{tanh}\left(c+d\,x\right)\,\left(1481\,a^6\,b^3+2450\,a^5\,b^4+2695\,a^4\,b^5+1820\,a^3\,b^6+791\,a^2\,b^7+210\,a\,b^8+25\,b^9\right)}{128\,\left(a^{12}\,d^2+6\,a^{11}\,b\,d^2+15\,a^{10}\,b^2\,d^2+20\,a^9\,b^3\,d^2+15\,a^8\,b^4\,d^2+6\,a^7\,b^5\,d^2+a^6\,b^6\,d^2\right)}+\frac{\left(\frac{4\,a^{14}\,b^2\,d^2+\frac{147\,a^{13}\,b^3\,d^2}{4}+154\,a^{12}\,b^4\,d^2+\frac{1561\,a^{11}\,b^5\,d^2}{4}+668\,a^{10}\,b^6\,d^2+\frac{1631\,a^9\,b^7\,d^2}{2}+728\,a^8\,b^8\,d^2+\frac{953\,a^7\,b^9\,d^2}{2}+224\,a^6\,b^{10}\,d^2+\frac{287\,a^5\,b^{11}\,d^2}{4}+14\,a^4\,b^{12}\,d^2+\frac{5\,a^3\,b^{13}\,d^2}{4}}{a^{15}\,d^3+9\,a^{14}\,b\,d^3+36\,a^{13}\,b^2\,d^3+84\,a^{12}\,b^3\,d^3+126\,a^{11}\,b^4\,d^3+126\,a^{10}\,b^5\,d^3+84\,a^9\,b^6\,d^3+36\,a^8\,b^7\,d^3+9\,a^7\,b^8\,d^3+a^6\,b^9\,d^3}-\frac{\mathrm{tanh}\left(c+d\,x\right)\,\sqrt{-a^7\,b}\,\left(35\,a^3+35\,a^2\,b+21\,a\,b^2+5\,b^3\right)\,\left(-1024\,a^{15}\,b^2\,d^2-7168\,a^{14}\,b^3\,d^2-20480\,a^{13}\,b^4\,d^2-28672\,a^{12}\,b^5\,d^2-14336\,a^{11}\,b^6\,d^2+14336\,a^{10}\,b^7\,d^2+28672\,a^9\,b^8\,d^2+20480\,a^8\,b^9\,d^2+7168\,a^7\,b^{10}\,d^2+1024\,a^6\,b^{11}\,d^2\right)}{4096\,\left(d\,a^{11}+4\,d\,a^{10}\,b+6\,d\,a^9\,b^2+4\,d\,a^8\,b^3+d\,a^7\,b^4\right)\,\left(a^{12}\,d^2+6\,a^{11}\,b\,d^2+15\,a^{10}\,b^2\,d^2+20\,a^9\,b^3\,d^2+15\,a^8\,b^4\,d^2+6\,a^7\,b^5\,d^2+a^6\,b^6\,d^2\right)}\right)\,\sqrt{-a^7\,b}\,\left(35\,a^3+35\,a^2\,b+21\,a\,b^2+5\,b^3\right)}{32\,\left(d\,a^{11}+4\,d\,a^{10}\,b+6\,d\,a^9\,b^2+4\,d\,a^8\,b^3+d\,a^7\,b^4\right)}\right)\,\left(35\,a^3+35\,a^2\,b+21\,a\,b^2+5\,b^3\right)\,1{}\mathrm{i}}{32\,\left(d\,a^{11}+4\,d\,a^{10}\,b+6\,d\,a^9\,b^2+4\,d\,a^8\,b^3+d\,a^7\,b^4\right)}+\frac{\sqrt{-a^7\,b}\,\left(\frac{\mathrm{tanh}\left(c+d\,x\right)\,\left(1481\,a^6\,b^3+2450\,a^5\,b^4+2695\,a^4\,b^5+1820\,a^3\,b^6+791\,a^2\,b^7+210\,a\,b^8+25\,b^9\right)}{128\,\left(a^{12}\,d^2+6\,a^{11}\,b\,d^2+15\,a^{10}\,b^2\,d^2+20\,a^9\,b^3\,d^2+15\,a^8\,b^4\,d^2+6\,a^7\,b^5\,d^2+a^6\,b^6\,d^2\right)}-\frac{\left(\frac{4\,a^{14}\,b^2\,d^2+\frac{147\,a^{13}\,b^3\,d^2}{4}+154\,a^{12}\,b^4\,d^2+\frac{1561\,a^{11}\,b^5\,d^2}{4}+668\,a^{10}\,b^6\,d^2+\frac{1631\,a^9\,b^7\,d^2}{2}+728\,a^8\,b^8\,d^2+\frac{953\,a^7\,b^9\,d^2}{2}+224\,a^6\,b^{10}\,d^2+\frac{287\,a^5\,b^{11}\,d^2}{4}+14\,a^4\,b^{12}\,d^2+\frac{5\,a^3\,b^{13}\,d^2}{4}}{a^{15}\,d^3+9\,a^{14}\,b\,d^3+36\,a^{13}\,b^2\,d^3+84\,a^{12}\,b^3\,d^3+126\,a^{11}\,b^4\,d^3+126\,a^{10}\,b^5\,d^3+84\,a^9\,b^6\,d^3+36\,a^8\,b^7\,d^3+9\,a^7\,b^8\,d^3+a^6\,b^9\,d^3}+\frac{\mathrm{tanh}\left(c+d\,x\right)\,\sqrt{-a^7\,b}\,\left(35\,a^3+35\,a^2\,b+21\,a\,b^2+5\,b^3\right)\,\left(-1024\,a^{15}\,b^2\,d^2-7168\,a^{14}\,b^3\,d^2-20480\,a^{13}\,b^4\,d^2-28672\,a^{12}\,b^5\,d^2-14336\,a^{11}\,b^6\,d^2+14336\,a^{10}\,b^7\,d^2+28672\,a^9\,b^8\,d^2+20480\,a^8\,b^9\,d^2+7168\,a^7\,b^{10}\,d^2+1024\,a^6\,b^{11}\,d^2\right)}{4096\,\left(d\,a^{11}+4\,d\,a^{10}\,b+6\,d\,a^9\,b^2+4\,d\,a^8\,b^3+d\,a^7\,b^4\right)\,\left(a^{12}\,d^2+6\,a^{11}\,b\,d^2+15\,a^{10}\,b^2\,d^2+20\,a^9\,b^3\,d^2+15\,a^8\,b^4\,d^2+6\,a^7\,b^5\,d^2+a^6\,b^6\,d^2\right)}\right)\,\sqrt{-a^7\,b}\,\left(35\,a^3+35\,a^2\,b+21\,a\,b^2+5\,b^3\right)}{32\,\left(d\,a^{11}+4\,d\,a^{10}\,b+6\,d\,a^9\,b^2+4\,d\,a^8\,b^3+d\,a^7\,b^4\right)}\right)\,\left(35\,a^3+35\,a^2\,b+21\,a\,b^2+5\,b^3\right)\,1{}\mathrm{i}}{32\,\left(d\,a^{11}+4\,d\,a^{10}\,b+6\,d\,a^9\,b^2+4\,d\,a^8\,b^3+d\,a^7\,b^4\right)}}{\frac{\frac{665\,a^5\,b^3}{128}+\frac{1225\,a^4\,b^4}{128}+\frac{567\,a^3\,b^5}{64}+\frac{303\,a^2\,b^6}{64}+\frac{185\,a\,b^7}{128}+\frac{25\,b^8}{128}}{a^{15}\,d^3+9\,a^{14}\,b\,d^3+36\,a^{13}\,b^2\,d^3+84\,a^{12}\,b^3\,d^3+126\,a^{11}\,b^4\,d^3+126\,a^{10}\,b^5\,d^3+84\,a^9\,b^6\,d^3+36\,a^8\,b^7\,d^3+9\,a^7\,b^8\,d^3+a^6\,b^9\,d^3}+\frac{\sqrt{-a^7\,b}\,\left(\frac{\mathrm{tanh}\left(c+d\,x\right)\,\left(1481\,a^6\,b^3+2450\,a^5\,b^4+2695\,a^4\,b^5+1820\,a^3\,b^6+791\,a^2\,b^7+210\,a\,b^8+25\,b^9\right)}{128\,\left(a^{12}\,d^2+6\,a^{11}\,b\,d^2+15\,a^{10}\,b^2\,d^2+20\,a^9\,b^3\,d^2+15\,a^8\,b^4\,d^2+6\,a^7\,b^5\,d^2+a^6\,b^6\,d^2\right)}+\frac{\left(\frac{4\,a^{14}\,b^2\,d^2+\frac{147\,a^{13}\,b^3\,d^2}{4}+154\,a^{12}\,b^4\,d^2+\frac{1561\,a^{11}\,b^5\,d^2}{4}+668\,a^{10}\,b^6\,d^2+\frac{1631\,a^9\,b^7\,d^2}{2}+728\,a^8\,b^8\,d^2+\frac{953\,a^7\,b^9\,d^2}{2}+224\,a^6\,b^{10}\,d^2+\frac{287\,a^5\,b^{11}\,d^2}{4}+14\,a^4\,b^{12}\,d^2+\frac{5\,a^3\,b^{13}\,d^2}{4}}{a^{15}\,d^3+9\,a^{14}\,b\,d^3+36\,a^{13}\,b^2\,d^3+84\,a^{12}\,b^3\,d^3+126\,a^{11}\,b^4\,d^3+126\,a^{10}\,b^5\,d^3+84\,a^9\,b^6\,d^3+36\,a^8\,b^7\,d^3+9\,a^7\,b^8\,d^3+a^6\,b^9\,d^3}-\frac{\mathrm{tanh}\left(c+d\,x\right)\,\sqrt{-a^7\,b}\,\left(35\,a^3+35\,a^2\,b+21\,a\,b^2+5\,b^3\right)\,\left(-1024\,a^{15}\,b^2\,d^2-7168\,a^{14}\,b^3\,d^2-20480\,a^{13}\,b^4\,d^2-28672\,a^{12}\,b^5\,d^2-14336\,a^{11}\,b^6\,d^2+14336\,a^{10}\,b^7\,d^2+28672\,a^9\,b^8\,d^2+20480\,a^8\,b^9\,d^2+7168\,a^7\,b^{10}\,d^2+1024\,a^6\,b^{11}\,d^2\right)}{4096\,\left(d\,a^{11}+4\,d\,a^{10}\,b+6\,d\,a^9\,b^2+4\,d\,a^8\,b^3+d\,a^7\,b^4\right)\,\left(a^{12}\,d^2+6\,a^{11}\,b\,d^2+15\,a^{10}\,b^2\,d^2+20\,a^9\,b^3\,d^2+15\,a^8\,b^4\,d^2+6\,a^7\,b^5\,d^2+a^6\,b^6\,d^2\right)}\right)\,\sqrt{-a^7\,b}\,\left(35\,a^3+35\,a^2\,b+21\,a\,b^2+5\,b^3\right)}{32\,\left(d\,a^{11}+4\,d\,a^{10}\,b+6\,d\,a^9\,b^2+4\,d\,a^8\,b^3+d\,a^7\,b^4\right)}\right)\,\left(35\,a^3+35\,a^2\,b+21\,a\,b^2+5\,b^3\right)}{32\,\left(d\,a^{11}+4\,d\,a^{10}\,b+6\,d\,a^9\,b^2+4\,d\,a^8\,b^3+d\,a^7\,b^4\right)}-\frac{\sqrt{-a^7\,b}\,\left(\frac{\mathrm{tanh}\left(c+d\,x\right)\,\left(1481\,a^6\,b^3+2450\,a^5\,b^4+2695\,a^4\,b^5+1820\,a^3\,b^6+791\,a^2\,b^7+210\,a\,b^8+25\,b^9\right)}{128\,\left(a^{12}\,d^2+6\,a^{11}\,b\,d^2+15\,a^{10}\,b^2\,d^2+20\,a^9\,b^3\,d^2+15\,a^8\,b^4\,d^2+6\,a^7\,b^5\,d^2+a^6\,b^6\,d^2\right)}-\frac{\left(\frac{4\,a^{14}\,b^2\,d^2+\frac{147\,a^{13}\,b^3\,d^2}{4}+154\,a^{12}\,b^4\,d^2+\frac{1561\,a^{11}\,b^5\,d^2}{4}+668\,a^{10}\,b^6\,d^2+\frac{1631\,a^9\,b^7\,d^2}{2}+728\,a^8\,b^8\,d^2+\frac{953\,a^7\,b^9\,d^2}{2}+224\,a^6\,b^{10}\,d^2+\frac{287\,a^5\,b^{11}\,d^2}{4}+14\,a^4\,b^{12}\,d^2+\frac{5\,a^3\,b^{13}\,d^2}{4}}{a^{15}\,d^3+9\,a^{14}\,b\,d^3+36\,a^{13}\,b^2\,d^3+84\,a^{12}\,b^3\,d^3+126\,a^{11}\,b^4\,d^3+126\,a^{10}\,b^5\,d^3+84\,a^9\,b^6\,d^3+36\,a^8\,b^7\,d^3+9\,a^7\,b^8\,d^3+a^6\,b^9\,d^3}+\frac{\mathrm{tanh}\left(c+d\,x\right)\,\sqrt{-a^7\,b}\,\left(35\,a^3+35\,a^2\,b+21\,a\,b^2+5\,b^3\right)\,\left(-1024\,a^{15}\,b^2\,d^2-7168\,a^{14}\,b^3\,d^2-20480\,a^{13}\,b^4\,d^2-28672\,a^{12}\,b^5\,d^2-14336\,a^{11}\,b^6\,d^2+14336\,a^{10}\,b^7\,d^2+28672\,a^9\,b^8\,d^2+20480\,a^8\,b^9\,d^2+7168\,a^7\,b^{10}\,d^2+1024\,a^6\,b^{11}\,d^2\right)}{4096\,\left(d\,a^{11}+4\,d\,a^{10}\,b+6\,d\,a^9\,b^2+4\,d\,a^8\,b^3+d\,a^7\,b^4\right)\,\left(a^{12}\,d^2+6\,a^{11}\,b\,d^2+15\,a^{10}\,b^2\,d^2+20\,a^9\,b^3\,d^2+15\,a^8\,b^4\,d^2+6\,a^7\,b^5\,d^2+a^6\,b^6\,d^2\right)}\right)\,\sqrt{-a^7\,b}\,\left(35\,a^3+35\,a^2\,b+21\,a\,b^2+5\,b^3\right)}{32\,\left(d\,a^{11}+4\,d\,a^{10}\,b+6\,d\,a^9\,b^2+4\,d\,a^8\,b^3+d\,a^7\,b^4\right)}\right)\,\left(35\,a^3+35\,a^2\,b+21\,a\,b^2+5\,b^3\right)}{32\,\left(d\,a^{11}+4\,d\,a^{10}\,b+6\,d\,a^9\,b^2+4\,d\,a^8\,b^3+d\,a^7\,b^4\right)}}\right)\,\sqrt{-a^7\,b}\,\left(35\,a^3+35\,a^2\,b+21\,a\,b^2+5\,b^3\right)\,1{}\mathrm{i}}{16\,\left(d\,a^{11}+4\,d\,a^{10}\,b+6\,d\,a^9\,b^2+4\,d\,a^8\,b^3+d\,a^7\,b^4\right)}","Not used",1,"log(tanh(c + d*x) + 1)/(2*a^4*d + 2*b^4*d + 12*a^2*b^2*d + 8*a*b^3*d + 8*a^3*b*d) + ((tanh(c + d*x)^3*(16*a*b^3 + 5*b^4 + 17*a^2*b^2))/(6*a^2*(3*a*b^2 + 3*a^2*b + a^3 + b^3)) + (tanh(c + d*x)*(32*a*b^2 + 29*a^2*b + 11*b^3))/(16*a*(3*a*b^2 + 3*a^2*b + a^3 + b^3)) + (b^2*tanh(c + d*x)^5*(16*a*b^2 + 19*a^2*b + 5*b^3))/(16*a^2*(a*b^3 + 3*a^3*b + a^4 + 3*a^2*b^2)))/(a^3*d + b^3*d*tanh(c + d*x)^6 + 3*a^2*b*d*tanh(c + d*x)^2 + 3*a*b^2*d*tanh(c + d*x)^4) - log(tanh(c + d*x) - 1)/(2*d*(a + b)^4) - (atan((((-a^7*b)^(1/2)*((tanh(c + d*x)*(210*a*b^8 + 25*b^9 + 791*a^2*b^7 + 1820*a^3*b^6 + 2695*a^4*b^5 + 2450*a^5*b^4 + 1481*a^6*b^3))/(128*(a^12*d^2 + 6*a^11*b*d^2 + a^6*b^6*d^2 + 6*a^7*b^5*d^2 + 15*a^8*b^4*d^2 + 20*a^9*b^3*d^2 + 15*a^10*b^2*d^2)) + ((((5*a^3*b^13*d^2)/4 + 14*a^4*b^12*d^2 + (287*a^5*b^11*d^2)/4 + 224*a^6*b^10*d^2 + (953*a^7*b^9*d^2)/2 + 728*a^8*b^8*d^2 + (1631*a^9*b^7*d^2)/2 + 668*a^10*b^6*d^2 + (1561*a^11*b^5*d^2)/4 + 154*a^12*b^4*d^2 + (147*a^13*b^3*d^2)/4 + 4*a^14*b^2*d^2)/(a^15*d^3 + 9*a^14*b*d^3 + a^6*b^9*d^3 + 9*a^7*b^8*d^3 + 36*a^8*b^7*d^3 + 84*a^9*b^6*d^3 + 126*a^10*b^5*d^3 + 126*a^11*b^4*d^3 + 84*a^12*b^3*d^3 + 36*a^13*b^2*d^3) - (tanh(c + d*x)*(-a^7*b)^(1/2)*(21*a*b^2 + 35*a^2*b + 35*a^3 + 5*b^3)*(1024*a^6*b^11*d^2 + 7168*a^7*b^10*d^2 + 20480*a^8*b^9*d^2 + 28672*a^9*b^8*d^2 + 14336*a^10*b^7*d^2 - 14336*a^11*b^6*d^2 - 28672*a^12*b^5*d^2 - 20480*a^13*b^4*d^2 - 7168*a^14*b^3*d^2 - 1024*a^15*b^2*d^2))/(4096*(a^11*d + a^7*b^4*d + 4*a^8*b^3*d + 6*a^9*b^2*d + 4*a^10*b*d)*(a^12*d^2 + 6*a^11*b*d^2 + a^6*b^6*d^2 + 6*a^7*b^5*d^2 + 15*a^8*b^4*d^2 + 20*a^9*b^3*d^2 + 15*a^10*b^2*d^2)))*(-a^7*b)^(1/2)*(21*a*b^2 + 35*a^2*b + 35*a^3 + 5*b^3))/(32*(a^11*d + a^7*b^4*d + 4*a^8*b^3*d + 6*a^9*b^2*d + 4*a^10*b*d)))*(21*a*b^2 + 35*a^2*b + 35*a^3 + 5*b^3)*1i)/(32*(a^11*d + a^7*b^4*d + 4*a^8*b^3*d + 6*a^9*b^2*d + 4*a^10*b*d)) + ((-a^7*b)^(1/2)*((tanh(c + d*x)*(210*a*b^8 + 25*b^9 + 791*a^2*b^7 + 1820*a^3*b^6 + 2695*a^4*b^5 + 2450*a^5*b^4 + 1481*a^6*b^3))/(128*(a^12*d^2 + 6*a^11*b*d^2 + a^6*b^6*d^2 + 6*a^7*b^5*d^2 + 15*a^8*b^4*d^2 + 20*a^9*b^3*d^2 + 15*a^10*b^2*d^2)) - ((((5*a^3*b^13*d^2)/4 + 14*a^4*b^12*d^2 + (287*a^5*b^11*d^2)/4 + 224*a^6*b^10*d^2 + (953*a^7*b^9*d^2)/2 + 728*a^8*b^8*d^2 + (1631*a^9*b^7*d^2)/2 + 668*a^10*b^6*d^2 + (1561*a^11*b^5*d^2)/4 + 154*a^12*b^4*d^2 + (147*a^13*b^3*d^2)/4 + 4*a^14*b^2*d^2)/(a^15*d^3 + 9*a^14*b*d^3 + a^6*b^9*d^3 + 9*a^7*b^8*d^3 + 36*a^8*b^7*d^3 + 84*a^9*b^6*d^3 + 126*a^10*b^5*d^3 + 126*a^11*b^4*d^3 + 84*a^12*b^3*d^3 + 36*a^13*b^2*d^3) + (tanh(c + d*x)*(-a^7*b)^(1/2)*(21*a*b^2 + 35*a^2*b + 35*a^3 + 5*b^3)*(1024*a^6*b^11*d^2 + 7168*a^7*b^10*d^2 + 20480*a^8*b^9*d^2 + 28672*a^9*b^8*d^2 + 14336*a^10*b^7*d^2 - 14336*a^11*b^6*d^2 - 28672*a^12*b^5*d^2 - 20480*a^13*b^4*d^2 - 7168*a^14*b^3*d^2 - 1024*a^15*b^2*d^2))/(4096*(a^11*d + a^7*b^4*d + 4*a^8*b^3*d + 6*a^9*b^2*d + 4*a^10*b*d)*(a^12*d^2 + 6*a^11*b*d^2 + a^6*b^6*d^2 + 6*a^7*b^5*d^2 + 15*a^8*b^4*d^2 + 20*a^9*b^3*d^2 + 15*a^10*b^2*d^2)))*(-a^7*b)^(1/2)*(21*a*b^2 + 35*a^2*b + 35*a^3 + 5*b^3))/(32*(a^11*d + a^7*b^4*d + 4*a^8*b^3*d + 6*a^9*b^2*d + 4*a^10*b*d)))*(21*a*b^2 + 35*a^2*b + 35*a^3 + 5*b^3)*1i)/(32*(a^11*d + a^7*b^4*d + 4*a^8*b^3*d + 6*a^9*b^2*d + 4*a^10*b*d)))/(((185*a*b^7)/128 + (25*b^8)/128 + (303*a^2*b^6)/64 + (567*a^3*b^5)/64 + (1225*a^4*b^4)/128 + (665*a^5*b^3)/128)/(a^15*d^3 + 9*a^14*b*d^3 + a^6*b^9*d^3 + 9*a^7*b^8*d^3 + 36*a^8*b^7*d^3 + 84*a^9*b^6*d^3 + 126*a^10*b^5*d^3 + 126*a^11*b^4*d^3 + 84*a^12*b^3*d^3 + 36*a^13*b^2*d^3) + ((-a^7*b)^(1/2)*((tanh(c + d*x)*(210*a*b^8 + 25*b^9 + 791*a^2*b^7 + 1820*a^3*b^6 + 2695*a^4*b^5 + 2450*a^5*b^4 + 1481*a^6*b^3))/(128*(a^12*d^2 + 6*a^11*b*d^2 + a^6*b^6*d^2 + 6*a^7*b^5*d^2 + 15*a^8*b^4*d^2 + 20*a^9*b^3*d^2 + 15*a^10*b^2*d^2)) + ((((5*a^3*b^13*d^2)/4 + 14*a^4*b^12*d^2 + (287*a^5*b^11*d^2)/4 + 224*a^6*b^10*d^2 + (953*a^7*b^9*d^2)/2 + 728*a^8*b^8*d^2 + (1631*a^9*b^7*d^2)/2 + 668*a^10*b^6*d^2 + (1561*a^11*b^5*d^2)/4 + 154*a^12*b^4*d^2 + (147*a^13*b^3*d^2)/4 + 4*a^14*b^2*d^2)/(a^15*d^3 + 9*a^14*b*d^3 + a^6*b^9*d^3 + 9*a^7*b^8*d^3 + 36*a^8*b^7*d^3 + 84*a^9*b^6*d^3 + 126*a^10*b^5*d^3 + 126*a^11*b^4*d^3 + 84*a^12*b^3*d^3 + 36*a^13*b^2*d^3) - (tanh(c + d*x)*(-a^7*b)^(1/2)*(21*a*b^2 + 35*a^2*b + 35*a^3 + 5*b^3)*(1024*a^6*b^11*d^2 + 7168*a^7*b^10*d^2 + 20480*a^8*b^9*d^2 + 28672*a^9*b^8*d^2 + 14336*a^10*b^7*d^2 - 14336*a^11*b^6*d^2 - 28672*a^12*b^5*d^2 - 20480*a^13*b^4*d^2 - 7168*a^14*b^3*d^2 - 1024*a^15*b^2*d^2))/(4096*(a^11*d + a^7*b^4*d + 4*a^8*b^3*d + 6*a^9*b^2*d + 4*a^10*b*d)*(a^12*d^2 + 6*a^11*b*d^2 + a^6*b^6*d^2 + 6*a^7*b^5*d^2 + 15*a^8*b^4*d^2 + 20*a^9*b^3*d^2 + 15*a^10*b^2*d^2)))*(-a^7*b)^(1/2)*(21*a*b^2 + 35*a^2*b + 35*a^3 + 5*b^3))/(32*(a^11*d + a^7*b^4*d + 4*a^8*b^3*d + 6*a^9*b^2*d + 4*a^10*b*d)))*(21*a*b^2 + 35*a^2*b + 35*a^3 + 5*b^3))/(32*(a^11*d + a^7*b^4*d + 4*a^8*b^3*d + 6*a^9*b^2*d + 4*a^10*b*d)) - ((-a^7*b)^(1/2)*((tanh(c + d*x)*(210*a*b^8 + 25*b^9 + 791*a^2*b^7 + 1820*a^3*b^6 + 2695*a^4*b^5 + 2450*a^5*b^4 + 1481*a^6*b^3))/(128*(a^12*d^2 + 6*a^11*b*d^2 + a^6*b^6*d^2 + 6*a^7*b^5*d^2 + 15*a^8*b^4*d^2 + 20*a^9*b^3*d^2 + 15*a^10*b^2*d^2)) - ((((5*a^3*b^13*d^2)/4 + 14*a^4*b^12*d^2 + (287*a^5*b^11*d^2)/4 + 224*a^6*b^10*d^2 + (953*a^7*b^9*d^2)/2 + 728*a^8*b^8*d^2 + (1631*a^9*b^7*d^2)/2 + 668*a^10*b^6*d^2 + (1561*a^11*b^5*d^2)/4 + 154*a^12*b^4*d^2 + (147*a^13*b^3*d^2)/4 + 4*a^14*b^2*d^2)/(a^15*d^3 + 9*a^14*b*d^3 + a^6*b^9*d^3 + 9*a^7*b^8*d^3 + 36*a^8*b^7*d^3 + 84*a^9*b^6*d^3 + 126*a^10*b^5*d^3 + 126*a^11*b^4*d^3 + 84*a^12*b^3*d^3 + 36*a^13*b^2*d^3) + (tanh(c + d*x)*(-a^7*b)^(1/2)*(21*a*b^2 + 35*a^2*b + 35*a^3 + 5*b^3)*(1024*a^6*b^11*d^2 + 7168*a^7*b^10*d^2 + 20480*a^8*b^9*d^2 + 28672*a^9*b^8*d^2 + 14336*a^10*b^7*d^2 - 14336*a^11*b^6*d^2 - 28672*a^12*b^5*d^2 - 20480*a^13*b^4*d^2 - 7168*a^14*b^3*d^2 - 1024*a^15*b^2*d^2))/(4096*(a^11*d + a^7*b^4*d + 4*a^8*b^3*d + 6*a^9*b^2*d + 4*a^10*b*d)*(a^12*d^2 + 6*a^11*b*d^2 + a^6*b^6*d^2 + 6*a^7*b^5*d^2 + 15*a^8*b^4*d^2 + 20*a^9*b^3*d^2 + 15*a^10*b^2*d^2)))*(-a^7*b)^(1/2)*(21*a*b^2 + 35*a^2*b + 35*a^3 + 5*b^3))/(32*(a^11*d + a^7*b^4*d + 4*a^8*b^3*d + 6*a^9*b^2*d + 4*a^10*b*d)))*(21*a*b^2 + 35*a^2*b + 35*a^3 + 5*b^3))/(32*(a^11*d + a^7*b^4*d + 4*a^8*b^3*d + 6*a^9*b^2*d + 4*a^10*b*d))))*(-a^7*b)^(1/2)*(21*a*b^2 + 35*a^2*b + 35*a^3 + 5*b^3)*1i)/(16*(a^11*d + a^7*b^4*d + 4*a^8*b^3*d + 6*a^9*b^2*d + 4*a^10*b*d))","B"
202,1,3,3,0.044726,"\text{Not used}","int((1 - tanh(x)^2)^(1/2),x)","\mathrm{asin}\left(\mathrm{tanh}\left(x\right)\right)","Not used",1,"asin(tanh(x))","B"
203,1,14,16,0.247893,"\text{Not used}","int((tanh(x)^2 - 1)^(1/2),x)","-\ln\left(\mathrm{tanh}\left(x\right)+\sqrt{{\mathrm{tanh}\left(x\right)}^2-1}\right)","Not used",1,"-log(tanh(x) + (tanh(x)^2 - 1)^(1/2))","B"
204,1,20,22,0.100014,"\text{Not used}","int((1 - tanh(x)^2)^(3/2),x)","\frac{\mathrm{asin}\left(\mathrm{tanh}\left(x\right)\right)}{2}+\frac{\mathrm{tanh}\left(x\right)\,\sqrt{1-{\mathrm{tanh}\left(x\right)}^2}}{2}","Not used",1,"asin(tanh(x))/2 + (tanh(x)*(1 - tanh(x)^2)^(1/2))/2","B"
205,1,27,35,1.172830,"\text{Not used}","int((tanh(x)^2 - 1)^(3/2),x)","\frac{\ln\left(\mathrm{tanh}\left(x\right)+\sqrt{{\mathrm{tanh}\left(x\right)}^2-1}\right)}{2}-\frac{\mathrm{tanh}\left(x\right)\,\sqrt{{\mathrm{tanh}\left(x\right)}^2-1}}{2}","Not used",1,"log(tanh(x) + (tanh(x)^2 - 1)^(1/2))/2 - (tanh(x)*(tanh(x)^2 - 1)^(1/2))/2","B"
206,1,2,11,0.144807,"\text{Not used}","int(1/(1 - tanh(x)^2)^(1/2),x)","\mathrm{sinh}\left(x\right)","Not used",1,"sinh(x)","B"
207,1,14,13,0.094628,"\text{Not used}","int(1/(tanh(x)^2 - 1)^(1/2),x)","-\frac{\mathrm{sinh}\left(2\,x\right)\,\sqrt{-\frac{1}{{\mathrm{cosh}\left(x\right)}^2}}}{2}","Not used",1,"-(sinh(2*x)*(-1/cosh(x)^2)^(1/2))/2","B"
208,1,119,87,9.602680,"\text{Not used}","int(tanh(x)^5*(a + b*tanh(x)^2)^(1/2),x)","-\frac{{\left(b\,{\mathrm{tanh}\left(x\right)}^2+a\right)}^{5/2}}{5\,b^2}-2\,\mathrm{atan}\left(\frac{2\,\sqrt{b\,{\mathrm{tanh}\left(x\right)}^2+a}\,\sqrt{-\frac{a}{4}-\frac{b}{4}}}{a+b}\right)\,\sqrt{-\frac{a}{4}-\frac{b}{4}}-\sqrt{b\,{\mathrm{tanh}\left(x\right)}^2+a}\,\left(\left(a+b\right)\,\left(\frac{a+b}{b^2}-\frac{2\,a}{b^2}\right)+\frac{a^2}{b^2}\right)-\left(\frac{a+b}{3\,b^2}-\frac{2\,a}{3\,b^2}\right)\,{\left(b\,{\mathrm{tanh}\left(x\right)}^2+a\right)}^{3/2}","Not used",1,"- (a + b*tanh(x)^2)^(5/2)/(5*b^2) - 2*atan((2*(a + b*tanh(x)^2)^(1/2)*(- a/4 - b/4)^(1/2))/(a + b))*(- a/4 - b/4)^(1/2) - (a + b*tanh(x)^2)^(1/2)*((a + b)*((a + b)/b^2 - (2*a)/b^2) + a^2/b^2) - ((a + b)/(3*b^2) - (2*a)/(3*b^2))*(a + b*tanh(x)^2)^(3/2)","B"
209,0,-1,121,0.000000,"\text{Not used}","int(tanh(x)^4*(a + b*tanh(x)^2)^(1/2),x)","\int {\mathrm{tanh}\left(x\right)}^4\,\sqrt{b\,{\mathrm{tanh}\left(x\right)}^2+a} \,d x","Not used",1,"int(tanh(x)^4*(a + b*tanh(x)^2)^(1/2), x)","F"
210,1,66,63,3.465008,"\text{Not used}","int(tanh(x)^3*(a + b*tanh(x)^2)^(1/2),x)","-\sqrt{b\,{\mathrm{tanh}\left(x\right)}^2+a}-\frac{{\left(b\,{\mathrm{tanh}\left(x\right)}^2+a\right)}^{3/2}}{3\,b}-2\,\mathrm{atan}\left(\frac{2\,\sqrt{b\,{\mathrm{tanh}\left(x\right)}^2+a}\,\sqrt{-\frac{a}{4}-\frac{b}{4}}}{a+b}\right)\,\sqrt{-\frac{a}{4}-\frac{b}{4}}","Not used",1,"- (a + b*tanh(x)^2)^(1/2) - (a + b*tanh(x)^2)^(3/2)/(3*b) - 2*atan((2*(a + b*tanh(x)^2)^(1/2)*(- a/4 - b/4)^(1/2))/(a + b))*(- a/4 - b/4)^(1/2)","B"
211,0,-1,85,0.000000,"\text{Not used}","int(tanh(x)^2*(a + b*tanh(x)^2)^(1/2),x)","\int {\mathrm{tanh}\left(x\right)}^2\,\sqrt{b\,{\mathrm{tanh}\left(x\right)}^2+a} \,d x","Not used",1,"int(tanh(x)^2*(a + b*tanh(x)^2)^(1/2), x)","F"
212,1,51,44,1.694323,"\text{Not used}","int(tanh(x)*(a + b*tanh(x)^2)^(1/2),x)","-\sqrt{b\,{\mathrm{tanh}\left(x\right)}^2+a}-2\,\mathrm{atan}\left(\frac{2\,\sqrt{b\,{\mathrm{tanh}\left(x\right)}^2+a}\,\sqrt{-\frac{a}{4}-\frac{b}{4}}}{a+b}\right)\,\sqrt{-\frac{a}{4}-\frac{b}{4}}","Not used",1,"- (a + b*tanh(x)^2)^(1/2) - 2*atan((2*(a + b*tanh(x)^2)^(1/2)*(- a/4 - b/4)^(1/2))/(a + b))*(- a/4 - b/4)^(1/2)","B"
213,0,-1,60,0.000000,"\text{Not used}","int((a + b*tanh(x)^2)^(1/2),x)","\int \sqrt{b\,{\mathrm{tanh}\left(x\right)}^2+a} \,d x","Not used",1,"int((a + b*tanh(x)^2)^(1/2), x)","F"
214,0,-1,56,0.000000,"\text{Not used}","int(coth(x)*(a + b*tanh(x)^2)^(1/2),x)","\int \mathrm{coth}\left(x\right)\,\sqrt{b\,{\mathrm{tanh}\left(x\right)}^2+a} \,d x","Not used",1,"int(coth(x)*(a + b*tanh(x)^2)^(1/2), x)","F"
215,0,-1,48,0.000000,"\text{Not used}","int(coth(x)^2*(a + b*tanh(x)^2)^(1/2),x)","\int {\mathrm{coth}\left(x\right)}^2\,\sqrt{b\,{\mathrm{tanh}\left(x\right)}^2+a} \,d x","Not used",1,"int(coth(x)^2*(a + b*tanh(x)^2)^(1/2), x)","F"
216,0,-1,83,0.000000,"\text{Not used}","int(coth(x)^3*(a + b*tanh(x)^2)^(1/2),x)","\int {\mathrm{coth}\left(x\right)}^3\,\sqrt{b\,{\mathrm{tanh}\left(x\right)}^2+a} \,d x","Not used",1,"int(coth(x)^3*(a + b*tanh(x)^2)^(1/2), x)","F"
217,0,-1,78,0.000000,"\text{Not used}","int(coth(x)^4*(a + b*tanh(x)^2)^(1/2),x)","\int {\mathrm{coth}\left(x\right)}^4\,\sqrt{b\,{\mathrm{tanh}\left(x\right)}^2+a} \,d x","Not used",1,"int(coth(x)^4*(a + b*tanh(x)^2)^(1/2), x)","F"
218,0,-1,121,0.000000,"\text{Not used}","int(coth(x)^5*(a + b*tanh(x)^2)^(1/2),x)","\int {\mathrm{coth}\left(x\right)}^5\,\sqrt{b\,{\mathrm{tanh}\left(x\right)}^2+a} \,d x","Not used",1,"int(coth(x)^5*(a + b*tanh(x)^2)^(1/2), x)","F"
219,1,112,82,10.988747,"\text{Not used}","int(tanh(x)^3*(a + b*tanh(x)^2)^(3/2),x)","-\frac{{\left(b\,{\mathrm{tanh}\left(x\right)}^2+a\right)}^{5/2}}{5\,b}-\left(\frac{a+b}{3\,b}-\frac{a}{3\,b}\right)\,{\left(b\,{\mathrm{tanh}\left(x\right)}^2+a\right)}^{3/2}-\left(a+b\right)\,\left(\frac{a+b}{b}-\frac{a}{b}\right)\,\sqrt{b\,{\mathrm{tanh}\left(x\right)}^2+a}-\mathrm{atan}\left(\frac{{\left(a+b\right)}^{3/2}\,\sqrt{b\,{\mathrm{tanh}\left(x\right)}^2+a}\,1{}\mathrm{i}}{a^2+2\,a\,b+b^2}\right)\,{\left(a+b\right)}^{3/2}\,1{}\mathrm{i}","Not used",1,"- (a + b*tanh(x)^2)^(5/2)/(5*b) - ((a + b)/(3*b) - a/(3*b))*(a + b*tanh(x)^2)^(3/2) - atan(((a + b)^(3/2)*(a + b*tanh(x)^2)^(1/2)*1i)/(2*a*b + a^2 + b^2))*(a + b)^(3/2)*1i - (a + b)*((a + b)/b - a/b)*(a + b*tanh(x)^2)^(1/2)","B"
220,0,-1,123,0.000000,"\text{Not used}","int(tanh(x)^2*(a + b*tanh(x)^2)^(3/2),x)","\int {\mathrm{tanh}\left(x\right)}^2\,{\left(b\,{\mathrm{tanh}\left(x\right)}^2+a\right)}^{3/2} \,d x","Not used",1,"int(tanh(x)^2*(a + b*tanh(x)^2)^(3/2), x)","F"
221,1,64,63,3.710589,"\text{Not used}","int(tanh(x)*(a + b*tanh(x)^2)^(3/2),x)","\mathrm{atanh}\left(\frac{{\left(a+b\right)}^{3/2}\,\sqrt{b\,{\mathrm{tanh}\left(x\right)}^2+a}}{a^2+2\,a\,b+b^2}\right)\,{\left(a+b\right)}^{3/2}-\left(a+b\right)\,\sqrt{b\,{\mathrm{tanh}\left(x\right)}^2+a}-\frac{{\left(b\,{\mathrm{tanh}\left(x\right)}^2+a\right)}^{3/2}}{3}","Not used",1,"atanh(((a + b)^(3/2)*(a + b*tanh(x)^2)^(1/2))/(2*a*b + a^2 + b^2))*(a + b)^(3/2) - (a + b)*(a + b*tanh(x)^2)^(1/2) - (a + b*tanh(x)^2)^(3/2)/3","B"
222,0,-1,88,0.000000,"\text{Not used}","int((a + b*tanh(x)^2)^(3/2),x)","\int {\left(b\,{\mathrm{tanh}\left(x\right)}^2+a\right)}^{3/2} \,d x","Not used",1,"int((a + b*tanh(x)^2)^(3/2), x)","F"
223,0,-1,71,0.000000,"\text{Not used}","int(coth(x)*(a + b*tanh(x)^2)^(3/2),x)","\int \mathrm{coth}\left(x\right)\,{\left(b\,{\mathrm{tanh}\left(x\right)}^2+a\right)}^{3/2} \,d x","Not used",1,"int(coth(x)*(a + b*tanh(x)^2)^(3/2), x)","F"
224,0,-1,77,0.000000,"\text{Not used}","int(coth(x)^2*(a + b*tanh(x)^2)^(3/2),x)","\int {\mathrm{coth}\left(x\right)}^2\,{\left(b\,{\mathrm{tanh}\left(x\right)}^2+a\right)}^{3/2} \,d x","Not used",1,"int(coth(x)^2*(a + b*tanh(x)^2)^(3/2), x)","F"
225,1,68,31,0.234996,"\text{Not used}","int((tanh(x)^2 + 1)^(1/2),x)","\frac{\sqrt{2}\,\left(\ln\left(\mathrm{tanh}\left(x\right)+1\right)-\ln\left(\sqrt{2}\,\sqrt{{\mathrm{tanh}\left(x\right)}^2+1}-\mathrm{tanh}\left(x\right)+1\right)\right)}{2}-\mathrm{asinh}\left(\mathrm{tanh}\left(x\right)\right)+\frac{\sqrt{2}\,\left(\ln\left(\mathrm{tanh}\left(x\right)+\sqrt{2}\,\sqrt{{\mathrm{tanh}\left(x\right)}^2+1}+1\right)-\ln\left(\mathrm{tanh}\left(x\right)-1\right)\right)}{2}","Not used",1,"(2^(1/2)*(log(tanh(x) + 1) - log(2^(1/2)*(tanh(x)^2 + 1)^(1/2) - tanh(x) + 1)))/2 - asinh(tanh(x)) + (2^(1/2)*(log(tanh(x) + 2^(1/2)*(tanh(x)^2 + 1)^(1/2) + 1) - log(tanh(x) - 1)))/2","B"
226,1,43,45,1.343092,"\text{Not used}","int((- tanh(x)^2 - 1)^(1/2),x)","-\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\mathrm{tanh}\left(x\right)}{\sqrt{-{\mathrm{tanh}\left(x\right)}^2-1}}\right)-\ln\left(\mathrm{tanh}\left(x\right)-\sqrt{-{\mathrm{tanh}\left(x\right)}^2-1}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}","Not used",1,"- log(tanh(x) - (- tanh(x)^2 - 1)^(1/2)*1i)*1i - 2^(1/2)*atan((2^(1/2)*tanh(x))/(- tanh(x)^2 - 1)^(1/2))","B"
227,1,78,50,0.287404,"\text{Not used}","int((tanh(x)^2 + 1)^(3/2),x)","\sqrt{2}\,\left(\ln\left(\mathrm{tanh}\left(x\right)+1\right)-\ln\left(\sqrt{2}\,\sqrt{{\mathrm{tanh}\left(x\right)}^2+1}-\mathrm{tanh}\left(x\right)+1\right)\right)-\frac{5\,\mathrm{asinh}\left(\mathrm{tanh}\left(x\right)\right)}{2}-\frac{\mathrm{tanh}\left(x\right)\,\sqrt{{\mathrm{tanh}\left(x\right)}^2+1}}{2}+\sqrt{2}\,\left(\ln\left(\mathrm{tanh}\left(x\right)+\sqrt{2}\,\sqrt{{\mathrm{tanh}\left(x\right)}^2+1}+1\right)-\ln\left(\mathrm{tanh}\left(x\right)-1\right)\right)","Not used",1,"2^(1/2)*(log(tanh(x) + 1) - log(2^(1/2)*(tanh(x)^2 + 1)^(1/2) - tanh(x) + 1)) - (5*asinh(tanh(x)))/2 - (tanh(x)*(tanh(x)^2 + 1)^(1/2))/2 + 2^(1/2)*(log(tanh(x) + 2^(1/2)*(tanh(x)^2 + 1)^(1/2) + 1) - log(tanh(x) - 1))","B"
228,0,-1,67,0.000000,"\text{Not used}","int((- tanh(x)^2 - 1)^(3/2),x)","\int {\left(-{\mathrm{tanh}\left(x\right)}^2-1\right)}^{3/2} \,d x","Not used",1,"int((- tanh(x)^2 - 1)^(3/2), x)","F"
229,1,65,70,2.166321,"\text{Not used}","int(tanh(x)^5/(a + b*tanh(x)^2)^(1/2),x)","\frac{\mathrm{atanh}\left(\frac{\sqrt{b\,{\mathrm{tanh}\left(x\right)}^2+a}}{\sqrt{a+b}}\right)}{\sqrt{a+b}}-\frac{{\left(b\,{\mathrm{tanh}\left(x\right)}^2+a\right)}^{3/2}}{3\,b^2}-\left(\frac{a+b}{b^2}-\frac{2\,a}{b^2}\right)\,\sqrt{b\,{\mathrm{tanh}\left(x\right)}^2+a}","Not used",1,"atanh((a + b*tanh(x)^2)^(1/2)/(a + b)^(1/2))/(a + b)^(1/2) - (a + b*tanh(x)^2)^(3/2)/(3*b^2) - ((a + b)/b^2 - (2*a)/b^2)*(a + b*tanh(x)^2)^(1/2)","B"
230,0,-1,88,0.000000,"\text{Not used}","int(tanh(x)^4/(a + b*tanh(x)^2)^(1/2),x)","\int \frac{{\mathrm{tanh}\left(x\right)}^4}{\sqrt{b\,{\mathrm{tanh}\left(x\right)}^2+a}} \,d x","Not used",1,"int(tanh(x)^4/(a + b*tanh(x)^2)^(1/2), x)","F"
231,1,39,47,1.688270,"\text{Not used}","int(tanh(x)^3/(a + b*tanh(x)^2)^(1/2),x)","\frac{\mathrm{atanh}\left(\frac{\sqrt{b\,{\mathrm{tanh}\left(x\right)}^2+a}}{\sqrt{a+b}}\right)}{\sqrt{a+b}}-\frac{\sqrt{b\,{\mathrm{tanh}\left(x\right)}^2+a}}{b}","Not used",1,"atanh((a + b*tanh(x)^2)^(1/2)/(a + b)^(1/2))/(a + b)^(1/2) - (a + b*tanh(x)^2)^(1/2)/b","B"
232,0,-1,60,0.000000,"\text{Not used}","int(tanh(x)^2/(a + b*tanh(x)^2)^(1/2),x)","\int \frac{{\mathrm{tanh}\left(x\right)}^2}{\sqrt{b\,{\mathrm{tanh}\left(x\right)}^2+a}} \,d x","Not used",1,"int(tanh(x)^2/(a + b*tanh(x)^2)^(1/2), x)","F"
233,1,23,29,1.624990,"\text{Not used}","int(tanh(x)/(a + b*tanh(x)^2)^(1/2),x)","\frac{\mathrm{atanh}\left(\frac{\sqrt{b\,{\mathrm{tanh}\left(x\right)}^2+a}}{\sqrt{a+b}}\right)}{\sqrt{a+b}}","Not used",1,"atanh((a + b*tanh(x)^2)^(1/2)/(a + b)^(1/2))/(a + b)^(1/2)","B"
234,1,25,31,1.571205,"\text{Not used}","int(1/(a + b*tanh(x)^2)^(1/2),x)","\frac{\mathrm{atanh}\left(\frac{\mathrm{tanh}\left(x\right)\,\sqrt{a+b}}{\sqrt{b\,{\mathrm{tanh}\left(x\right)}^2+a}}\right)}{\sqrt{a+b}}","Not used",1,"atanh((tanh(x)*(a + b)^(1/2))/(a + b*tanh(x)^2)^(1/2))/(a + b)^(1/2)","B"
235,0,-1,56,0.000000,"\text{Not used}","int(coth(x)/(a + b*tanh(x)^2)^(1/2),x)","\int \frac{\mathrm{coth}\left(x\right)}{\sqrt{b\,{\mathrm{tanh}\left(x\right)}^2+a}} \,d x","Not used",1,"int(coth(x)/(a + b*tanh(x)^2)^(1/2), x)","F"
236,0,-1,51,0.000000,"\text{Not used}","int(coth(x)^2/(a + b*tanh(x)^2)^(1/2),x)","\int \frac{{\mathrm{coth}\left(x\right)}^2}{\sqrt{b\,{\mathrm{tanh}\left(x\right)}^2+a}} \,d x","Not used",1,"int(coth(x)^2/(a + b*tanh(x)^2)^(1/2), x)","F"
237,0,-1,88,0.000000,"\text{Not used}","int(coth(x)^3/(a + b*tanh(x)^2)^(1/2),x)","\int \frac{{\mathrm{coth}\left(x\right)}^3}{\sqrt{b\,{\mathrm{tanh}\left(x\right)}^2+a}} \,d x","Not used",1,"int(coth(x)^3/(a + b*tanh(x)^2)^(1/2), x)","F"
238,1,70,72,2.521175,"\text{Not used}","int(tanh(x)^5/(a + b*tanh(x)^2)^(3/2),x)","\frac{\mathrm{atanh}\left(\frac{\sqrt{b\,{\mathrm{tanh}\left(x\right)}^2+a}\,\left(2\,a+2\,b\right)}{2\,{\left(a+b\right)}^{3/2}}\right)}{{\left(a+b\right)}^{3/2}}-\frac{\sqrt{b\,{\mathrm{tanh}\left(x\right)}^2+a}}{b^2}-\frac{a^2}{b^2\,\left(a+b\right)\,\sqrt{b\,{\mathrm{tanh}\left(x\right)}^2+a}}","Not used",1,"atanh(((a + b*tanh(x)^2)^(1/2)*(2*a + 2*b))/(2*(a + b)^(3/2)))/(a + b)^(3/2) - (a + b*tanh(x)^2)^(1/2)/b^2 - a^2/(b^2*(a + b)*(a + b*tanh(x)^2)^(1/2))","B"
239,0,-1,84,0.000000,"\text{Not used}","int(tanh(x)^4/(a + b*tanh(x)^2)^(3/2),x)","\int \frac{{\mathrm{tanh}\left(x\right)}^4}{{\left(b\,{\mathrm{tanh}\left(x\right)}^2+a\right)}^{3/2}} \,d x","Not used",1,"int(tanh(x)^4/(a + b*tanh(x)^2)^(3/2), x)","F"
240,1,45,52,2.059737,"\text{Not used}","int(tanh(x)^3/(a + b*tanh(x)^2)^(3/2),x)","\frac{\mathrm{atanh}\left(\frac{\sqrt{b\,{\mathrm{tanh}\left(x\right)}^2+a}}{\sqrt{a+b}}\right)}{{\left(a+b\right)}^{3/2}}+\frac{a}{\left(b^2+a\,b\right)\,\sqrt{b\,{\mathrm{tanh}\left(x\right)}^2+a}}","Not used",1,"atanh((a + b*tanh(x)^2)^(1/2)/(a + b)^(1/2))/(a + b)^(3/2) + a/((a*b + b^2)*(a + b*tanh(x)^2)^(1/2))","B"
241,0,-1,53,0.000000,"\text{Not used}","int(tanh(x)^2/(a + b*tanh(x)^2)^(3/2),x)","\int \frac{{\mathrm{tanh}\left(x\right)}^2}{{\left(b\,{\mathrm{tanh}\left(x\right)}^2+a\right)}^{3/2}} \,d x","Not used",1,"int(tanh(x)^2/(a + b*tanh(x)^2)^(3/2), x)","F"
242,1,41,49,1.941922,"\text{Not used}","int(tanh(x)/(a + b*tanh(x)^2)^(3/2),x)","\frac{\mathrm{atanh}\left(\frac{\sqrt{b\,{\mathrm{tanh}\left(x\right)}^2+a}}{\sqrt{a+b}}\right)}{{\left(a+b\right)}^{3/2}}-\frac{1}{\left(a+b\right)\,\sqrt{b\,{\mathrm{tanh}\left(x\right)}^2+a}}","Not used",1,"atanh((a + b*tanh(x)^2)^(1/2)/(a + b)^(1/2))/(a + b)^(3/2) - 1/((a + b)*(a + b*tanh(x)^2)^(1/2))","B"
243,0,-1,56,0.000000,"\text{Not used}","int(1/(a + b*tanh(x)^2)^(3/2),x)","\int \frac{1}{{\left(b\,{\mathrm{tanh}\left(x\right)}^2+a\right)}^{3/2}} \,d x","Not used",1,"int(1/(a + b*tanh(x)^2)^(3/2), x)","F"
244,0,-1,78,0.000000,"\text{Not used}","int(coth(x)/(a + b*tanh(x)^2)^(3/2),x)","\int \frac{\mathrm{coth}\left(x\right)}{{\left(b\,{\mathrm{tanh}\left(x\right)}^2+a\right)}^{3/2}} \,d x","Not used",1,"int(coth(x)/(a + b*tanh(x)^2)^(3/2), x)","F"
245,0,-1,85,0.000000,"\text{Not used}","int(coth(x)^2/(a + b*tanh(x)^2)^(3/2),x)","\int \frac{{\mathrm{coth}\left(x\right)}^2}{{\left(b\,{\mathrm{tanh}\left(x\right)}^2+a\right)}^{3/2}} \,d x","Not used",1,"int(coth(x)^2/(a + b*tanh(x)^2)^(3/2), x)","F"
246,0,-1,118,0.000000,"\text{Not used}","int(tanh(x)^6/(a + b*tanh(x)^2)^(5/2),x)","\int \frac{{\mathrm{tanh}\left(x\right)}^6}{{\left(b\,{\mathrm{tanh}\left(x\right)}^2+a\right)}^{5/2}} \,d x","Not used",1,"int(tanh(x)^6/(a + b*tanh(x)^2)^(5/2), x)","F"
247,1,92,84,4.013018,"\text{Not used}","int(tanh(x)^5/(a + b*tanh(x)^2)^(5/2),x)","\frac{\mathrm{atanh}\left(\frac{\sqrt{b\,{\mathrm{tanh}\left(x\right)}^2+a}\,\left(2\,a^2+4\,a\,b+2\,b^2\right)}{2\,{\left(a+b\right)}^{5/2}}\right)}{{\left(a+b\right)}^{5/2}}-\frac{\frac{a^2}{3\,\left(a+b\right)}-\frac{\left(a^2+2\,b\,a\right)\,\left(b\,{\mathrm{tanh}\left(x\right)}^2+a\right)}{{\left(a+b\right)}^2}}{b^2\,{\left(b\,{\mathrm{tanh}\left(x\right)}^2+a\right)}^{3/2}}","Not used",1,"atanh(((a + b*tanh(x)^2)^(1/2)*(4*a*b + 2*a^2 + 2*b^2))/(2*(a + b)^(5/2)))/(a + b)^(5/2) - (a^2/(3*(a + b)) - ((2*a*b + a^2)*(a + b*tanh(x)^2))/(a + b)^2)/(b^2*(a + b*tanh(x)^2)^(3/2))","B"
248,0,-1,90,0.000000,"\text{Not used}","int(tanh(x)^4/(a + b*tanh(x)^2)^(5/2),x)","\int \frac{{\mathrm{tanh}\left(x\right)}^4}{{\left(b\,{\mathrm{tanh}\left(x\right)}^2+a\right)}^{5/2}} \,d x","Not used",1,"int(tanh(x)^4/(a + b*tanh(x)^2)^(5/2), x)","F"
249,1,82,74,3.824297,"\text{Not used}","int(tanh(x)^3/(a + b*tanh(x)^2)^(5/2),x)","\frac{\mathrm{atanh}\left(\frac{\sqrt{b\,{\mathrm{tanh}\left(x\right)}^2+a}\,\left(2\,a^2+4\,a\,b+2\,b^2\right)}{2\,{\left(a+b\right)}^{5/2}}\right)}{{\left(a+b\right)}^{5/2}}+\frac{\frac{a}{3\,\left(a+b\right)}-\frac{b\,\left(b\,{\mathrm{tanh}\left(x\right)}^2+a\right)}{{\left(a+b\right)}^2}}{b\,{\left(b\,{\mathrm{tanh}\left(x\right)}^2+a\right)}^{3/2}}","Not used",1,"atanh(((a + b*tanh(x)^2)^(1/2)*(4*a*b + 2*a^2 + 2*b^2))/(2*(a + b)^(5/2)))/(a + b)^(5/2) + (a/(3*(a + b)) - (b*(a + b*tanh(x)^2))/(a + b)^2)/(b*(a + b*tanh(x)^2)^(3/2))","B"
250,0,-1,88,0.000000,"\text{Not used}","int(tanh(x)^2/(a + b*tanh(x)^2)^(5/2),x)","\int \frac{{\mathrm{tanh}\left(x\right)}^2}{{\left(b\,{\mathrm{tanh}\left(x\right)}^2+a\right)}^{5/2}} \,d x","Not used",1,"int(tanh(x)^2/(a + b*tanh(x)^2)^(5/2), x)","F"
251,1,76,70,3.555966,"\text{Not used}","int(tanh(x)/(a + b*tanh(x)^2)^(5/2),x)","\frac{\mathrm{atanh}\left(\frac{\sqrt{b\,{\mathrm{tanh}\left(x\right)}^2+a}\,\left(2\,a^2+4\,a\,b+2\,b^2\right)}{2\,{\left(a+b\right)}^{5/2}}\right)}{{\left(a+b\right)}^{5/2}}-\frac{\frac{1}{3\,\left(a+b\right)}+\frac{b\,{\mathrm{tanh}\left(x\right)}^2+a}{{\left(a+b\right)}^2}}{{\left(b\,{\mathrm{tanh}\left(x\right)}^2+a\right)}^{3/2}}","Not used",1,"atanh(((a + b*tanh(x)^2)^(1/2)*(4*a*b + 2*a^2 + 2*b^2))/(2*(a + b)^(5/2)))/(a + b)^(5/2) - (1/(3*(a + b)) + (a + b*tanh(x)^2)/(a + b)^2)/(a + b*tanh(x)^2)^(3/2)","B"
252,0,-1,93,0.000000,"\text{Not used}","int(1/(a + b*tanh(x)^2)^(5/2),x)","\int \frac{1}{{\left(b\,{\mathrm{tanh}\left(x\right)}^2+a\right)}^{5/2}} \,d x","Not used",1,"int(1/(a + b*tanh(x)^2)^(5/2), x)","F"
253,0,-1,108,0.000000,"\text{Not used}","int(coth(x)/(a + b*tanh(x)^2)^(5/2),x)","\int \frac{\mathrm{coth}\left(x\right)}{{\left(b\,{\mathrm{tanh}\left(x\right)}^2+a\right)}^{5/2}} \,d x","Not used",1,"int(coth(x)/(a + b*tanh(x)^2)^(5/2), x)","F"
254,0,-1,131,0.000000,"\text{Not used}","int(coth(x)^2/(a + b*tanh(x)^2)^(5/2),x)","\int \frac{{\mathrm{coth}\left(x\right)}^2}{{\left(b\,{\mathrm{tanh}\left(x\right)}^2+a\right)}^{5/2}} \,d x","Not used",1,"int(coth(x)^2/(a + b*tanh(x)^2)^(5/2), x)","F"
255,1,63,25,0.171354,"\text{Not used}","int(1/(tanh(x)^2 + 1)^(1/2),x)","\frac{\sqrt{2}\,\left(\ln\left(\mathrm{tanh}\left(x\right)+1\right)-\ln\left(\sqrt{2}\,\sqrt{{\mathrm{tanh}\left(x\right)}^2+1}-\mathrm{tanh}\left(x\right)+1\right)\right)}{4}+\frac{\sqrt{2}\,\left(\ln\left(\mathrm{tanh}\left(x\right)+\sqrt{2}\,\sqrt{{\mathrm{tanh}\left(x\right)}^2+1}+1\right)-\ln\left(\mathrm{tanh}\left(x\right)-1\right)\right)}{4}","Not used",1,"(2^(1/2)*(log(tanh(x) + 1) - log(2^(1/2)*(tanh(x)^2 + 1)^(1/2) - tanh(x) + 1)))/4 + (2^(1/2)*(log(tanh(x) + 2^(1/2)*(tanh(x)^2 + 1)^(1/2) + 1) - log(tanh(x) - 1)))/4","B"
256,1,22,27,1.199533,"\text{Not used}","int(1/(- tanh(x)^2 - 1)^(1/2),x)","\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\mathrm{tanh}\left(x\right)}{\sqrt{-{\mathrm{tanh}\left(x\right)}^2-1}}\right)}{2}","Not used",1,"(2^(1/2)*atan((2^(1/2)*tanh(x))/(- tanh(x)^2 - 1)^(1/2)))/2","B"
257,1,91,89,1.156949,"\text{Not used}","int((a + b*tanh(c + d*x)^3)^2,x)","x\,\left(a^2+2\,a\,b+b^2\right)-\frac{b^2\,\mathrm{tanh}\left(c+d\,x\right)}{d}-\frac{b^2\,{\mathrm{tanh}\left(c+d\,x\right)}^3}{3\,d}-\frac{b^2\,{\mathrm{tanh}\left(c+d\,x\right)}^5}{5\,d}-\frac{2\,a\,b\,\ln\left(\mathrm{tanh}\left(c+d\,x\right)+1\right)}{d}-\frac{a\,b\,{\mathrm{tanh}\left(c+d\,x\right)}^2}{d}","Not used",1,"x*(2*a*b + a^2 + b^2) - (b^2*tanh(c + d*x))/d - (b^2*tanh(c + d*x)^3)/(3*d) - (b^2*tanh(c + d*x)^5)/(5*d) - (2*a*b*log(tanh(c + d*x) + 1))/d - (a*b*tanh(c + d*x)^2)/d","B"
258,1,38,38,0.097106,"\text{Not used}","int(1/(tanh(x)^3 + 1),x)","\frac{\frac{x}{2}+\frac{\mathrm{tanh}\left(x\right)}{6}+\frac{x\,\mathrm{tanh}\left(x\right)}{2}}{\mathrm{tanh}\left(x\right)+1}+\frac{2\,\sqrt{3}\,\mathrm{atan}\left(\frac{\sqrt{3}\,\left(2\,\mathrm{tanh}\left(x\right)-1\right)}{3}\right)}{9}","Not used",1,"(x/2 + tanh(x)/6 + (x*tanh(x))/2)/(tanh(x) + 1) + (2*3^(1/2)*atan((3^(1/2)*(2*tanh(x) - 1))/3))/9","B"
259,0,-1,124,0.000000,"\text{Not used}","int(tanh(x)*(a + b*tanh(x)^4)^(3/2),x)","\int \mathrm{tanh}\left(x\right)\,{\left(b\,{\mathrm{tanh}\left(x\right)}^4+a\right)}^{3/2} \,d x","Not used",1,"int(tanh(x)*(a + b*tanh(x)^4)^(3/2), x)","F"
260,0,-1,89,0.000000,"\text{Not used}","int(tanh(x)*(a + b*tanh(x)^4)^(1/2),x)","\int \mathrm{tanh}\left(x\right)\,\sqrt{b\,{\mathrm{tanh}\left(x\right)}^4+a} \,d x","Not used",1,"int(tanh(x)*(a + b*tanh(x)^4)^(1/2), x)","F"
261,0,-1,40,0.000000,"\text{Not used}","int(tanh(x)/(a + b*tanh(x)^4)^(1/2),x)","\int \frac{\mathrm{tanh}\left(x\right)}{\sqrt{b\,{\mathrm{tanh}\left(x\right)}^4+a}} \,d x","Not used",1,"int(tanh(x)/(a + b*tanh(x)^4)^(1/2), x)","F"
262,0,-1,74,0.000000,"\text{Not used}","int(tanh(x)/(a + b*tanh(x)^4)^(3/2),x)","\int \frac{\mathrm{tanh}\left(x\right)}{{\left(b\,{\mathrm{tanh}\left(x\right)}^4+a\right)}^{3/2}} \,d x","Not used",1,"int(tanh(x)/(a + b*tanh(x)^4)^(3/2), x)","F"
263,0,-1,118,0.000000,"\text{Not used}","int(tanh(x)/(a + b*tanh(x)^4)^(5/2),x)","\int \frac{\mathrm{tanh}\left(x\right)}{{\left(b\,{\mathrm{tanh}\left(x\right)}^4+a\right)}^{5/2}} \,d x","Not used",1,"int(tanh(x)/(a + b*tanh(x)^4)^(5/2), x)","F"