1,1,76,89,0.784308,"\text{Not used}","int(sinh(c + d*x)^4*(a + b*sinh(c + d*x)^2),x)","\frac{\frac{3\,a\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)}{2}-12\,a\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)+\frac{45\,b\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)}{4}-\frac{9\,b\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)}{4}+\frac{b\,\mathrm{sinh}\left(6\,c+6\,d\,x\right)}{4}+18\,a\,d\,x-15\,b\,d\,x}{48\,d}","Not used",1,"((3*a*sinh(4*c + 4*d*x))/2 - 12*a*sinh(2*c + 2*d*x) + (45*b*sinh(2*c + 2*d*x))/4 - (9*b*sinh(4*c + 4*d*x))/4 + (b*sinh(6*c + 6*d*x))/4 + 18*a*d*x - 15*b*d*x)/(48*d)","B"
2,1,57,53,0.640836,"\text{Not used}","int(sinh(c + d*x)^3*(a + b*sinh(c + d*x)^2),x)","\frac{15\,b\,\mathrm{cosh}\left(c+d\,x\right)-15\,a\,\mathrm{cosh}\left(c+d\,x\right)+5\,a\,{\mathrm{cosh}\left(c+d\,x\right)}^3-10\,b\,{\mathrm{cosh}\left(c+d\,x\right)}^3+3\,b\,{\mathrm{cosh}\left(c+d\,x\right)}^5}{15\,d}","Not used",1,"(15*b*cosh(c + d*x) - 15*a*cosh(c + d*x) + 5*a*cosh(c + d*x)^3 - 10*b*cosh(c + d*x)^3 + 3*b*cosh(c + d*x)^5)/(15*d)","B"
3,1,50,61,0.109014,"\text{Not used}","int(sinh(c + d*x)^2*(a + b*sinh(c + d*x)^2),x)","\frac{\frac{a\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)}{4}-\frac{b\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)}{4}+\frac{b\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)}{32}}{d}-\frac{a\,x}{2}+\frac{3\,b\,x}{8}","Not used",1,"((a*sinh(2*c + 2*d*x))/4 - (b*sinh(2*c + 2*d*x))/4 + (b*sinh(4*c + 4*d*x))/32)/d - (a*x)/2 + (3*b*x)/8","B"
4,1,34,32,0.591687,"\text{Not used}","int(sinh(c + d*x)*(a + b*sinh(c + d*x)^2),x)","\frac{3\,a\,\mathrm{cosh}\left(c+d\,x\right)-3\,b\,\mathrm{cosh}\left(c+d\,x\right)+b\,{\mathrm{cosh}\left(c+d\,x\right)}^3}{3\,d}","Not used",1,"(3*a*cosh(c + d*x) - 3*b*cosh(c + d*x) + b*cosh(c + d*x)^3)/(3*d)","B"
5,1,23,30,0.073889,"\text{Not used}","int(a + b*sinh(c + d*x)^2,x)","a\,x-\frac{b\,x}{2}+\frac{b\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)}{4\,d}","Not used",1,"a*x - (b*x)/2 + (b*sinh(2*c + 2*d*x))/(4*d)","B"
6,1,66,25,0.135181,"\text{Not used}","int((a + b*sinh(c + d*x)^2)/sinh(c + d*x),x)","\frac{b\,{\mathrm{e}}^{-c-d\,x}}{2\,d}+\frac{b\,{\mathrm{e}}^{c+d\,x}}{2\,d}-\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}}","Not used",1,"(b*exp(- c - d*x))/(2*d) + (b*exp(c + d*x))/(2*d) - (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)","B"
7,1,23,16,0.566148,"\text{Not used}","int((a + b*sinh(c + d*x)^2)/sinh(c + d*x)^2,x)","b\,x-\frac{2\,a}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}","Not used",1,"b*x - (2*a)/(d*(exp(2*c + 2*d*x) - 1))","B"
8,1,131,40,0.126538,"\text{Not used}","int((a + b*sinh(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\,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*a*exp(c + d*x))/(d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1))","B"
9,1,61,43,0.602368,"\text{Not used}","int((a + b*sinh(c + d*x)^2)/sinh(c + d*x)^4,x)","-\frac{2\,\left(3\,b-2\,a+6\,a\,{\mathrm{e}}^{2\,c+2\,d\,x}-6\,b\,{\mathrm{e}}^{2\,c+2\,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*b - 2*a + 6*a*exp(2*c + 2*d*x) - 6*b*exp(2*c + 2*d*x) + 3*b*exp(4*c + 4*d*x)))/(3*d*(exp(2*c + 2*d*x) - 1)^3)","B"
10,1,149,146,0.902131,"\text{Not used}","int(sinh(c + d*x)^4*(a + b*sinh(c + d*x)^2)^2,x)","\frac{12\,a^2\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)-96\,a^2\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)-84\,b^2\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)+21\,b^2\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)-4\,b^2\,\mathrm{sinh}\left(6\,c+6\,d\,x\right)+\frac{3\,b^2\,\mathrm{sinh}\left(8\,c+8\,d\,x\right)}{8}+180\,a\,b\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)-36\,a\,b\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)+4\,a\,b\,\mathrm{sinh}\left(6\,c+6\,d\,x\right)+144\,a^2\,d\,x+105\,b^2\,d\,x-240\,a\,b\,d\,x}{384\,d}","Not used",1,"(12*a^2*sinh(4*c + 4*d*x) - 96*a^2*sinh(2*c + 2*d*x) - 84*b^2*sinh(2*c + 2*d*x) + 21*b^2*sinh(4*c + 4*d*x) - 4*b^2*sinh(6*c + 6*d*x) + (3*b^2*sinh(8*c + 8*d*x))/8 + 180*a*b*sinh(2*c + 2*d*x) - 36*a*b*sinh(4*c + 4*d*x) + 4*a*b*sinh(6*c + 6*d*x) + 144*a^2*d*x + 105*b^2*d*x - 240*a*b*d*x)/(384*d)","B"
11,1,112,85,0.234207,"\text{Not used}","int(sinh(c + d*x)^3*(a + b*sinh(c + d*x)^2)^2,x)","\frac{\frac{a^2\,{\mathrm{cosh}\left(c+d\,x\right)}^3}{3}-a^2\,\mathrm{cosh}\left(c+d\,x\right)+\frac{2\,a\,b\,{\mathrm{cosh}\left(c+d\,x\right)}^5}{5}-\frac{4\,a\,b\,{\mathrm{cosh}\left(c+d\,x\right)}^3}{3}+2\,a\,b\,\mathrm{cosh}\left(c+d\,x\right)+\frac{b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^7}{7}-\frac{3\,b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^5}{5}+b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^3-b^2\,\mathrm{cosh}\left(c+d\,x\right)}{d}","Not used",1,"((a^2*cosh(c + d*x)^3)/3 - b^2*cosh(c + d*x) - a^2*cosh(c + d*x) + b^2*cosh(c + d*x)^3 - (3*b^2*cosh(c + d*x)^5)/5 + (b^2*cosh(c + d*x)^7)/7 + 2*a*b*cosh(c + d*x) - (4*a*b*cosh(c + d*x)^3)/3 + (2*a*b*cosh(c + d*x)^5)/5)/d","B"
12,1,108,110,0.233521,"\text{Not used}","int(sinh(c + d*x)^2*(a + b*sinh(c + d*x)^2)^2,x)","\frac{12\,a^2\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)+\frac{45\,b^2\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)}{4}-\frac{9\,b^2\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)}{4}+\frac{b^2\,\mathrm{sinh}\left(6\,c+6\,d\,x\right)}{4}-24\,a\,b\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)+3\,a\,b\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)-24\,a^2\,d\,x-15\,b^2\,d\,x+36\,a\,b\,d\,x}{48\,d}","Not used",1,"(12*a^2*sinh(2*c + 2*d*x) + (45*b^2*sinh(2*c + 2*d*x))/4 - (9*b^2*sinh(4*c + 4*d*x))/4 + (b^2*sinh(6*c + 6*d*x))/4 - 24*a*b*sinh(2*c + 2*d*x) + 3*a*b*sinh(4*c + 4*d*x) - 24*a^2*d*x - 15*b^2*d*x + 36*a*b*d*x)/(48*d)","B"
13,1,76,57,0.646583,"\text{Not used}","int(sinh(c + d*x)*(a + b*sinh(c + d*x)^2)^2,x)","\frac{15\,a^2\,\mathrm{cosh}\left(c+d\,x\right)+10\,a\,b\,{\mathrm{cosh}\left(c+d\,x\right)}^3-30\,a\,b\,\mathrm{cosh}\left(c+d\,x\right)+3\,b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^5-10\,b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^3+15\,b^2\,\mathrm{cosh}\left(c+d\,x\right)}{15\,d}","Not used",1,"(15*a^2*cosh(c + d*x) + 15*b^2*cosh(c + d*x) - 10*b^2*cosh(c + d*x)^3 + 3*b^2*cosh(c + d*x)^5 - 30*a*b*cosh(c + d*x) + 10*a*b*cosh(c + d*x)^3)/(15*d)","B"
14,1,67,72,0.098077,"\text{Not used}","int((a + b*sinh(c + d*x)^2)^2,x)","a^2\,x+\frac{3\,b^2\,x}{8}-a\,b\,x-\frac{b^2\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)}{4\,d}+\frac{b^2\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)}{32\,d}+\frac{a\,b\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)}{2\,d}","Not used",1,"a^2*x + (3*b^2*x)/8 - a*b*x - (b^2*sinh(2*c + 2*d*x))/(4*d) + (b^2*sinh(4*c + 4*d*x))/(32*d) + (a*b*sinh(2*c + 2*d*x))/(2*d)","B"
15,1,116,52,0.162819,"\text{Not used}","int((a + b*sinh(c + d*x)^2)^2/sinh(c + d*x),x)","\frac{b^2\,{\mathrm{e}}^{-3\,c-3\,d\,x}}{24\,d}-\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}}+\frac{b^2\,{\mathrm{e}}^{3\,c+3\,d\,x}}{24\,d}+\frac{b\,{\mathrm{e}}^{-c-d\,x}\,\left(8\,a-3\,b\right)}{8\,d}+\frac{b\,{\mathrm{e}}^{c+d\,x}\,\left(8\,a-3\,b\right)}{8\,d}","Not used",1,"(b^2*exp(- 3*c - 3*d*x))/(24*d) - (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^2*exp(3*c + 3*d*x))/(24*d) + (b*exp(- c - d*x)*(8*a - 3*b))/(8*d) + (b*exp(c + d*x)*(8*a - 3*b))/(8*d)","B"
16,1,67,50,0.661570,"\text{Not used}","int((a + b*sinh(c + d*x)^2)^2/sinh(c + d*x)^2,x)","\frac{b\,x\,\left(4\,a-b\right)}{2}-\frac{2\,a^2}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{b^2\,{\mathrm{e}}^{-2\,c-2\,d\,x}}{8\,d}+\frac{b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}}{8\,d}","Not used",1,"(b*x*(4*a - b))/2 - (2*a^2)/(d*(exp(2*c + 2*d*x) - 1)) - (b^2*exp(- 2*c - 2*d*x))/(8*d) + (b^2*exp(2*c + 2*d*x))/(8*d)","B"
17,1,179,56,0.666105,"\text{Not used}","int((a + b*sinh(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{b^2\,{\mathrm{e}}^{c+d\,x}}{2\,d}+\frac{b^2\,{\mathrm{e}}^{-c-d\,x}}{2\,d}-\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)}","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) + (b^2*exp(c + d*x))/(2*d) + (b^2*exp(- c - d*x))/(2*d) - (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))","B"
18,1,166,40,0.618578,"\text{Not used}","int((a + b*sinh(c + d*x)^2)^2/sinh(c + d*x)^4,x)","b^2\,x-\frac{\frac{4\,a\,b}{3\,d}-\frac{8\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a\,b-a^2\right)}{3\,d}+\frac{4\,a\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}}{3\,d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}-3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}-1}+\frac{\frac{4\,\left(a\,b-a^2\right)}{3\,d}-\frac{4\,a\,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{4\,a\,b}{3\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}","Not used",1,"b^2*x - ((4*a*b)/(3*d) - (8*exp(2*c + 2*d*x)*(a*b - a^2))/(3*d) + (4*a*b*exp(4*c + 4*d*x))/(3*d))/(3*exp(2*c + 2*d*x) - 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) - 1) + ((4*(a*b - a^2))/(3*d) - (4*a*b*exp(2*c + 2*d*x))/(3*d))/(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1) - (4*a*b)/(3*d*(exp(2*c + 2*d*x) - 1))","B"
19,1,239,261,1.203232,"\text{Not used}","int(sinh(c + d*x)^4*(a + b*sinh(c + d*x)^2)^3,x)","\frac{40\,a^3\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)-320\,a^3\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)+\frac{525\,b^3\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)}{2}-75\,b^3\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)+\frac{75\,b^3\,\mathrm{sinh}\left(6\,c+6\,d\,x\right)}{4}-\frac{25\,b^3\,\mathrm{sinh}\left(8\,c+8\,d\,x\right)}{8}+\frac{b^3\,\mathrm{sinh}\left(10\,c+10\,d\,x\right)}{4}-840\,a\,b^2\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)+900\,a^2\,b\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)+210\,a\,b^2\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)-180\,a^2\,b\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)-40\,a\,b^2\,\mathrm{sinh}\left(6\,c+6\,d\,x\right)+20\,a^2\,b\,\mathrm{sinh}\left(6\,c+6\,d\,x\right)+\frac{15\,a\,b^2\,\mathrm{sinh}\left(8\,c+8\,d\,x\right)}{4}+480\,a^3\,d\,x-315\,b^3\,d\,x+1050\,a\,b^2\,d\,x-1200\,a^2\,b\,d\,x}{1280\,d}","Not used",1,"(40*a^3*sinh(4*c + 4*d*x) - 320*a^3*sinh(2*c + 2*d*x) + (525*b^3*sinh(2*c + 2*d*x))/2 - 75*b^3*sinh(4*c + 4*d*x) + (75*b^3*sinh(6*c + 6*d*x))/4 - (25*b^3*sinh(8*c + 8*d*x))/8 + (b^3*sinh(10*c + 10*d*x))/4 - 840*a*b^2*sinh(2*c + 2*d*x) + 900*a^2*b*sinh(2*c + 2*d*x) + 210*a*b^2*sinh(4*c + 4*d*x) - 180*a^2*b*sinh(4*c + 4*d*x) - 40*a*b^2*sinh(6*c + 6*d*x) + 20*a^2*b*sinh(6*c + 6*d*x) + (15*a*b^2*sinh(8*c + 8*d*x))/4 + 480*a^3*d*x - 315*b^3*d*x + 1050*a*b^2*d*x - 1200*a^2*b*d*x)/(1280*d)","B"
20,1,185,115,0.429654,"\text{Not used}","int(sinh(c + d*x)^3*(a + b*sinh(c + d*x)^2)^3,x)","\frac{\frac{a^3\,{\mathrm{cosh}\left(c+d\,x\right)}^3}{3}-a^3\,\mathrm{cosh}\left(c+d\,x\right)+\frac{3\,a^2\,b\,{\mathrm{cosh}\left(c+d\,x\right)}^5}{5}-2\,a^2\,b\,{\mathrm{cosh}\left(c+d\,x\right)}^3+3\,a^2\,b\,\mathrm{cosh}\left(c+d\,x\right)+\frac{3\,a\,b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^7}{7}-\frac{9\,a\,b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^5}{5}+3\,a\,b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^3-3\,a\,b^2\,\mathrm{cosh}\left(c+d\,x\right)+\frac{b^3\,{\mathrm{cosh}\left(c+d\,x\right)}^9}{9}-\frac{4\,b^3\,{\mathrm{cosh}\left(c+d\,x\right)}^7}{7}+\frac{6\,b^3\,{\mathrm{cosh}\left(c+d\,x\right)}^5}{5}-\frac{4\,b^3\,{\mathrm{cosh}\left(c+d\,x\right)}^3}{3}+b^3\,\mathrm{cosh}\left(c+d\,x\right)}{d}","Not used",1,"(b^3*cosh(c + d*x) - a^3*cosh(c + d*x) + (a^3*cosh(c + d*x)^3)/3 - (4*b^3*cosh(c + d*x)^3)/3 + (6*b^3*cosh(c + d*x)^5)/5 - (4*b^3*cosh(c + d*x)^7)/7 + (b^3*cosh(c + d*x)^9)/9 + 3*a*b^2*cosh(c + d*x)^3 - 2*a^2*b*cosh(c + d*x)^3 - (9*a*b^2*cosh(c + d*x)^5)/5 + (3*a^2*b*cosh(c + d*x)^5)/5 + (3*a*b^2*cosh(c + d*x)^7)/7 - 3*a*b^2*cosh(c + d*x) + 3*a^2*b*cosh(c + d*x))/d","B"
21,1,181,181,0.966673,"\text{Not used}","int(sinh(c + d*x)^2*(a + b*sinh(c + d*x)^2)^3,x)","\frac{96\,a^3\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)-84\,b^3\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)+21\,b^3\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)-4\,b^3\,\mathrm{sinh}\left(6\,c+6\,d\,x\right)+\frac{3\,b^3\,\mathrm{sinh}\left(8\,c+8\,d\,x\right)}{8}+270\,a\,b^2\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)-288\,a^2\,b\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)-54\,a\,b^2\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)+36\,a^2\,b\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)+6\,a\,b^2\,\mathrm{sinh}\left(6\,c+6\,d\,x\right)-192\,a^3\,d\,x+105\,b^3\,d\,x-360\,a\,b^2\,d\,x+432\,a^2\,b\,d\,x}{384\,d}","Not used",1,"(96*a^3*sinh(2*c + 2*d*x) - 84*b^3*sinh(2*c + 2*d*x) + 21*b^3*sinh(4*c + 4*d*x) - 4*b^3*sinh(6*c + 6*d*x) + (3*b^3*sinh(8*c + 8*d*x))/8 + 270*a*b^2*sinh(2*c + 2*d*x) - 288*a^2*b*sinh(2*c + 2*d*x) - 54*a*b^2*sinh(4*c + 4*d*x) + 36*a^2*b*sinh(4*c + 4*d*x) + 6*a*b^2*sinh(6*c + 6*d*x) - 192*a^3*d*x + 105*b^3*d*x - 360*a*b^2*d*x + 432*a^2*b*d*x)/(384*d)","B"
22,1,129,79,0.258381,"\text{Not used}","int(sinh(c + d*x)*(a + b*sinh(c + d*x)^2)^3,x)","\frac{a^3\,\mathrm{cosh}\left(c+d\,x\right)+a^2\,b\,{\mathrm{cosh}\left(c+d\,x\right)}^3-3\,a^2\,b\,\mathrm{cosh}\left(c+d\,x\right)+\frac{3\,a\,b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^5}{5}-2\,a\,b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^3+3\,a\,b^2\,\mathrm{cosh}\left(c+d\,x\right)+\frac{b^3\,{\mathrm{cosh}\left(c+d\,x\right)}^7}{7}-\frac{3\,b^3\,{\mathrm{cosh}\left(c+d\,x\right)}^5}{5}+b^3\,{\mathrm{cosh}\left(c+d\,x\right)}^3-b^3\,\mathrm{cosh}\left(c+d\,x\right)}{d}","Not used",1,"(a^3*cosh(c + d*x) - b^3*cosh(c + d*x) + b^3*cosh(c + d*x)^3 - (3*b^3*cosh(c + d*x)^5)/5 + (b^3*cosh(c + d*x)^7)/7 - 2*a*b^2*cosh(c + d*x)^3 + a^2*b*cosh(c + d*x)^3 + (3*a*b^2*cosh(c + d*x)^5)/5 + 3*a*b^2*cosh(c + d*x) - 3*a^2*b*cosh(c + d*x))/d","B"
23,1,123,128,0.749657,"\text{Not used}","int((a + b*sinh(c + d*x)^2)^3,x)","\frac{\frac{45\,b^3\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)}{4}-\frac{9\,b^3\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)}{4}+\frac{b^3\,\mathrm{sinh}\left(6\,c+6\,d\,x\right)}{4}-36\,a\,b^2\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)+36\,a^2\,b\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)+\frac{9\,a\,b^2\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)}{2}+48\,a^3\,d\,x-15\,b^3\,d\,x+54\,a\,b^2\,d\,x-72\,a^2\,b\,d\,x}{48\,d}","Not used",1,"((45*b^3*sinh(2*c + 2*d*x))/4 - (9*b^3*sinh(4*c + 4*d*x))/4 + (b^3*sinh(6*c + 6*d*x))/4 - 36*a*b^2*sinh(2*c + 2*d*x) + 36*a^2*b*sinh(2*c + 2*d*x) + (9*a*b^2*sinh(4*c + 4*d*x))/2 + 48*a^3*d*x - 15*b^3*d*x + 54*a*b^2*d*x - 72*a^2*b*d*x)/(48*d)","B"
24,1,184,83,0.297995,"\text{Not used}","int((a + b*sinh(c + d*x)^2)^3/sinh(c + d*x),x)","\frac{{\mathrm{e}}^{c+d\,x}\,\left(24\,a^2\,b-18\,a\,b^2+5\,b^3\right)}{16\,d}-\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{{\mathrm{e}}^{-c-d\,x}\,\left(24\,a^2\,b-18\,a\,b^2+5\,b^3\right)}{16\,d}+\frac{b^3\,{\mathrm{e}}^{-5\,c-5\,d\,x}}{160\,d}+\frac{b^3\,{\mathrm{e}}^{5\,c+5\,d\,x}}{160\,d}+\frac{b^2\,{\mathrm{e}}^{-3\,c-3\,d\,x}\,\left(12\,a-5\,b\right)}{96\,d}+\frac{b^2\,{\mathrm{e}}^{3\,c+3\,d\,x}\,\left(12\,a-5\,b\right)}{96\,d}","Not used",1,"(exp(c + d*x)*(24*a^2*b - 18*a*b^2 + 5*b^3))/(16*d) - (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) + (exp(- c - d*x)*(24*a^2*b - 18*a*b^2 + 5*b^3))/(16*d) + (b^3*exp(- 5*c - 5*d*x))/(160*d) + (b^3*exp(5*c + 5*d*x))/(160*d) + (b^2*exp(- 3*c - 3*d*x)*(12*a - 5*b))/(96*d) + (b^2*exp(3*c + 3*d*x)*(12*a - 5*b))/(96*d)","B"
25,1,121,137,0.758095,"\text{Not used}","int((a + b*sinh(c + d*x)^2)^3/sinh(c + d*x)^2,x)","\frac{3\,b\,x\,\left(8\,a^2-4\,a\,b+b^2\right)}{8}-\frac{2\,a^3}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{b^3\,{\mathrm{e}}^{-4\,c-4\,d\,x}}{64\,d}+\frac{b^3\,{\mathrm{e}}^{4\,c+4\,d\,x}}{64\,d}-\frac{b^2\,{\mathrm{e}}^{-2\,c-2\,d\,x}\,\left(3\,a-b\right)}{8\,d}+\frac{b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(3\,a-b\right)}{8\,d}","Not used",1,"(3*b*x*(8*a^2 - 4*a*b + b^2))/8 - (2*a^3)/(d*(exp(2*c + 2*d*x) - 1)) - (b^3*exp(- 4*c - 4*d*x))/(64*d) + (b^3*exp(4*c + 4*d*x))/(64*d) - (b^2*exp(- 2*c - 2*d*x)*(3*a - b))/(8*d) + (b^2*exp(2*c + 2*d*x)*(3*a - b))/(8*d)","B"
26,1,229,83,0.216100,"\text{Not used}","int((a + b*sinh(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{b^3\,{\mathrm{e}}^{-3\,c-3\,d\,x}}{24\,d}+\frac{b^3\,{\mathrm{e}}^{3\,c+3\,d\,x}}{24\,d}+\frac{3\,b^2\,{\mathrm{e}}^{c+d\,x}\,\left(4\,a-b\right)}{8\,d}+\frac{3\,b^2\,{\mathrm{e}}^{-c-d\,x}\,\left(4\,a-b\right)}{8\,d}-\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)}","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) + (b^3*exp(- 3*c - 3*d*x))/(24*d) + (b^3*exp(3*c + 3*d*x))/(24*d) + (3*b^2*exp(c + d*x)*(4*a - b))/(8*d) + (3*b^2*exp(- c - d*x)*(4*a - b))/(8*d) - (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"
27,1,222,113,0.137640,"\text{Not used}","int((a + b*sinh(c + d*x)^2)^3/sinh(c + d*x)^4,x)","\frac{\frac{2\,\left(3\,a^2\,b-2\,a^3\right)}{3\,d}-\frac{2\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}}{d}}{{\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1}-\frac{\frac{2\,a^2\,b}{d}-\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(3\,a^2\,b-2\,a^3\right)}{3\,d}+\frac{2\,a^2\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}}{d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}-3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}-1}+\frac{b^2\,x\,\left(6\,a-b\right)}{2}-\frac{b^3\,{\mathrm{e}}^{-2\,c-2\,d\,x}}{8\,d}+\frac{b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}}{8\,d}-\frac{2\,a^2\,b}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}","Not used",1,"((2*(3*a^2*b - 2*a^3))/(3*d) - (2*a^2*b*exp(2*c + 2*d*x))/d)/(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1) - ((2*a^2*b)/d - (4*exp(2*c + 2*d*x)*(3*a^2*b - 2*a^3))/(3*d) + (2*a^2*b*exp(4*c + 4*d*x))/d)/(3*exp(2*c + 2*d*x) - 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) - 1) + (b^2*x*(6*a - b))/2 - (b^3*exp(- 2*c - 2*d*x))/(8*d) + (b^3*exp(2*c + 2*d*x))/(8*d) - (2*a^2*b)/(d*(exp(2*c + 2*d*x) - 1))","B"
28,1,415,109,1.641387,"\text{Not used}","int(sinh(c + d*x)^7/(a + b*sinh(c + d*x)^2),x)","\frac{{\mathrm{e}}^{-5\,c-5\,d\,x}}{160\,b\,d}-\frac{\sqrt{a^6}\,\left(2\,\mathrm{atan}\left(\frac{a^3\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\sqrt{b^7\,d^2\,\left(a-b\right)}}{2\,b^3\,d\,\left(a-b\right)\,\sqrt{a^6}}\right)+2\,\mathrm{atan}\left(\frac{\left({\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(\frac{2\,a^7}{b^{11}\,d\,{\left(a-b\right)}^2\,\sqrt{a^6}}-\frac{4\,\left(2\,a^4\,b^4\,d\,\sqrt{a^6}-2\,a^5\,b^3\,d\,\sqrt{a^6}\right)}{a^3\,b^8\,\left(a-b\right)\,\sqrt{a\,b^7\,d^2-b^8\,d^2}\,\sqrt{b^7\,d^2\,\left(a-b\right)}}\right)+\frac{2\,a^7\,{\mathrm{e}}^{3\,c}\,{\mathrm{e}}^{3\,d\,x}}{b^{11}\,d\,{\left(a-b\right)}^2\,\sqrt{a^6}}\right)\,\left(b^9\,\sqrt{a\,b^7\,d^2-b^8\,d^2}-a\,b^8\,\sqrt{a\,b^7\,d^2-b^8\,d^2}\right)}{4\,a^4}\right)\right)}{2\,\sqrt{a\,b^7\,d^2-b^8\,d^2}}+\frac{{\mathrm{e}}^{5\,c+5\,d\,x}}{160\,b\,d}+\frac{{\mathrm{e}}^{c+d\,x}\,\left(8\,a^2+6\,a\,b+5\,b^2\right)}{16\,b^3\,d}+\frac{{\mathrm{e}}^{-c-d\,x}\,\left(8\,a^2+6\,a\,b+5\,b^2\right)}{16\,b^3\,d}-\frac{{\mathrm{e}}^{-3\,c-3\,d\,x}\,\left(4\,a+5\,b\right)}{96\,b^2\,d}-\frac{{\mathrm{e}}^{3\,c+3\,d\,x}\,\left(4\,a+5\,b\right)}{96\,b^2\,d}","Not used",1,"exp(- 5*c - 5*d*x)/(160*b*d) - ((a^6)^(1/2)*(2*atan((a^3*exp(d*x)*exp(c)*(b^7*d^2*(a - b))^(1/2))/(2*b^3*d*(a - b)*(a^6)^(1/2))) + 2*atan(((exp(d*x)*exp(c)*((2*a^7)/(b^11*d*(a - b)^2*(a^6)^(1/2)) - (4*(2*a^4*b^4*d*(a^6)^(1/2) - 2*a^5*b^3*d*(a^6)^(1/2)))/(a^3*b^8*(a - b)*(a*b^7*d^2 - b^8*d^2)^(1/2)*(b^7*d^2*(a - b))^(1/2))) + (2*a^7*exp(3*c)*exp(3*d*x))/(b^11*d*(a - b)^2*(a^6)^(1/2)))*(b^9*(a*b^7*d^2 - b^8*d^2)^(1/2) - a*b^8*(a*b^7*d^2 - b^8*d^2)^(1/2)))/(4*a^4))))/(2*(a*b^7*d^2 - b^8*d^2)^(1/2)) + exp(5*c + 5*d*x)/(160*b*d) + (exp(c + d*x)*(6*a*b + 8*a^2 + 5*b^2))/(16*b^3*d) + (exp(- c - d*x)*(6*a*b + 8*a^2 + 5*b^2))/(16*b^3*d) - (exp(- 3*c - 3*d*x)*(4*a + 5*b))/(96*b^2*d) - (exp(3*c + 3*d*x)*(4*a + 5*b))/(96*b^2*d)","B"
29,1,266,121,1.069841,"\text{Not used}","int(sinh(c + d*x)^6/(a + b*sinh(c + d*x)^2),x)","\frac{x\,\left(8\,a^2+4\,a\,b+3\,b^2\right)}{8\,b^3}-\frac{{\mathrm{e}}^{-4\,c-4\,d\,x}}{64\,b\,d}+\frac{{\mathrm{e}}^{4\,c+4\,d\,x}}{64\,b\,d}+\frac{{\mathrm{e}}^{-2\,c-2\,d\,x}\,\left(a+b\right)}{8\,b^2\,d}-\frac{{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a+b\right)}{8\,b^2\,d}+\frac{a^{5/2}\,\ln\left(\frac{4\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}}{b^4}-\frac{2\,a^{5/2}\,\left(b\,d+2\,a\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}-b\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^4\,d\,\sqrt{a-b}}\right)}{2\,b^3\,d\,\sqrt{a-b}}-\frac{a^{5/2}\,\ln\left(\frac{4\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}}{b^4}+\frac{2\,a^{5/2}\,\left(b\,d+2\,a\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}-b\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^4\,d\,\sqrt{a-b}}\right)}{2\,b^3\,d\,\sqrt{a-b}}","Not used",1,"(x*(4*a*b + 8*a^2 + 3*b^2))/(8*b^3) - exp(- 4*c - 4*d*x)/(64*b*d) + exp(4*c + 4*d*x)/(64*b*d) + (exp(- 2*c - 2*d*x)*(a + b))/(8*b^2*d) - (exp(2*c + 2*d*x)*(a + b))/(8*b^2*d) + (a^(5/2)*log((4*a^3*exp(2*c + 2*d*x))/b^4 - (2*a^(5/2)*(b*d + 2*a*d*exp(2*c + 2*d*x) - b*d*exp(2*c + 2*d*x)))/(b^4*d*(a - b)^(1/2))))/(2*b^3*d*(a - b)^(1/2)) - (a^(5/2)*log((4*a^3*exp(2*c + 2*d*x))/b^4 + (2*a^(5/2)*(b*d + 2*a*d*exp(2*c + 2*d*x) - b*d*exp(2*c + 2*d*x)))/(b^4*d*(a - b)^(1/2))))/(2*b^3*d*(a - b)^(1/2))","B"
30,1,348,79,1.380739,"\text{Not used}","int(sinh(c + d*x)^5/(a + b*sinh(c + d*x)^2),x)","\frac{\left(2\,\mathrm{atan}\left(\frac{a^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\sqrt{b^5\,d^2\,\left(a-b\right)}}{2\,b^2\,d\,\left(a-b\right)\,\sqrt{a^4}}\right)+2\,\mathrm{atan}\left(\left({\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(\frac{2\,a^2}{b^8\,d\,{\left(a-b\right)}^2\,\sqrt{a^4}}-\frac{4\,\left(2\,a^3\,b^3\,d\,\sqrt{a^4}-2\,a^4\,b^2\,d\,\sqrt{a^4}\right)}{a^5\,b^6\,\left(a-b\right)\,\sqrt{a\,b^5\,d^2-b^6\,d^2}\,\sqrt{b^5\,d^2\,\left(a-b\right)}}\right)+\frac{2\,a^2\,{\mathrm{e}}^{3\,c}\,{\mathrm{e}}^{3\,d\,x}}{b^8\,d\,{\left(a-b\right)}^2\,\sqrt{a^4}}\right)\,\left(\frac{b^7\,\sqrt{a\,b^5\,d^2-b^6\,d^2}}{4}-\frac{a\,b^6\,\sqrt{a\,b^5\,d^2-b^6\,d^2}}{4}\right)\right)\right)\,\sqrt{a^4}}{2\,\sqrt{a\,b^5\,d^2-b^6\,d^2}}+\frac{{\mathrm{e}}^{-3\,c-3\,d\,x}}{24\,b\,d}+\frac{{\mathrm{e}}^{3\,c+3\,d\,x}}{24\,b\,d}-\frac{{\mathrm{e}}^{c+d\,x}\,\left(4\,a+3\,b\right)}{8\,b^2\,d}-\frac{{\mathrm{e}}^{-c-d\,x}\,\left(4\,a+3\,b\right)}{8\,b^2\,d}","Not used",1,"((2*atan((a^2*exp(d*x)*exp(c)*(b^5*d^2*(a - b))^(1/2))/(2*b^2*d*(a - b)*(a^4)^(1/2))) + 2*atan((exp(d*x)*exp(c)*((2*a^2)/(b^8*d*(a - b)^2*(a^4)^(1/2)) - (4*(2*a^3*b^3*d*(a^4)^(1/2) - 2*a^4*b^2*d*(a^4)^(1/2)))/(a^5*b^6*(a - b)*(a*b^5*d^2 - b^6*d^2)^(1/2)*(b^5*d^2*(a - b))^(1/2))) + (2*a^2*exp(3*c)*exp(3*d*x))/(b^8*d*(a - b)^2*(a^4)^(1/2)))*((b^7*(a*b^5*d^2 - b^6*d^2)^(1/2))/4 - (a*b^6*(a*b^5*d^2 - b^6*d^2)^(1/2))/4)))*(a^4)^(1/2))/(2*(a*b^5*d^2 - b^6*d^2)^(1/2)) + exp(- 3*c - 3*d*x)/(24*b*d) + exp(3*c + 3*d*x)/(24*b*d) - (exp(c + d*x)*(4*a + 3*b))/(8*b^2*d) - (exp(- c - d*x)*(4*a + 3*b))/(8*b^2*d)","B"
31,1,216,79,0.938297,"\text{Not used}","int(sinh(c + d*x)^4/(a + b*sinh(c + d*x)^2),x)","\frac{{\mathrm{e}}^{2\,c+2\,d\,x}}{8\,b\,d}-\frac{{\mathrm{e}}^{-2\,c-2\,d\,x}}{8\,b\,d}-\frac{x\,\left(2\,a+b\right)}{2\,b^2}+\frac{a^{3/2}\,\ln\left(-\frac{4\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}}{b^3}-\frac{2\,a^{3/2}\,\left(b\,d+2\,a\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}-b\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^3\,d\,\sqrt{a-b}}\right)}{2\,b^2\,d\,\sqrt{a-b}}-\frac{a^{3/2}\,\ln\left(\frac{2\,a^{3/2}\,\left(b\,d+2\,a\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}-b\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^3\,d\,\sqrt{a-b}}-\frac{4\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}}{b^3}\right)}{2\,b^2\,d\,\sqrt{a-b}}","Not used",1,"exp(2*c + 2*d*x)/(8*b*d) - exp(- 2*c - 2*d*x)/(8*b*d) - (x*(2*a + b))/(2*b^2) + (a^(3/2)*log(- (4*a^2*exp(2*c + 2*d*x))/b^3 - (2*a^(3/2)*(b*d + 2*a*d*exp(2*c + 2*d*x) - b*d*exp(2*c + 2*d*x)))/(b^3*d*(a - b)^(1/2))))/(2*b^2*d*(a - b)^(1/2)) - (a^(3/2)*log((2*a^(3/2)*(b*d + 2*a*d*exp(2*c + 2*d*x) - b*d*exp(2*c + 2*d*x)))/(b^3*d*(a - b)^(1/2)) - (4*a^2*exp(2*c + 2*d*x))/b^3))/(2*b^2*d*(a - b)^(1/2))","B"
32,1,293,56,1.173993,"\text{Not used}","int(sinh(c + d*x)^3/(a + b*sinh(c + d*x)^2),x)","\frac{{\mathrm{e}}^{c+d\,x}}{2\,b\,d}-\frac{\left(2\,\mathrm{atan}\left(\frac{a^3\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\sqrt{b^3\,d^2\,\left(a-b\right)}}{2\,b\,d\,\left(a-b\right)\,{\left(a^2\right)}^{3/2}}\right)+2\,\mathrm{atan}\left(\left({\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(\frac{2\,a^3}{b^5\,d\,{\left(a-b\right)}^2\,{\left(a^2\right)}^{3/2}}-\frac{4\,\left(2\,b^2\,d\,{\left(a^2\right)}^{3/2}-2\,a\,b\,d\,{\left(a^2\right)}^{3/2}\right)}{a^3\,b^4\,\left(a-b\right)\,\sqrt{a\,b^3\,d^2-b^4\,d^2}\,\sqrt{b^3\,d^2\,\left(a-b\right)}}\right)+\frac{2\,a^3\,{\mathrm{e}}^{3\,c}\,{\mathrm{e}}^{3\,d\,x}}{b^5\,d\,{\left(a-b\right)}^2\,{\left(a^2\right)}^{3/2}}\right)\,\left(\frac{b^5\,\sqrt{a\,b^3\,d^2-b^4\,d^2}}{4}-\frac{a\,b^4\,\sqrt{a\,b^3\,d^2-b^4\,d^2}}{4}\right)\right)\right)\,\sqrt{a^2}}{2\,\sqrt{a\,b^3\,d^2-b^4\,d^2}}+\frac{{\mathrm{e}}^{-c-d\,x}}{2\,b\,d}","Not used",1,"exp(c + d*x)/(2*b*d) - ((2*atan((a^3*exp(d*x)*exp(c)*(b^3*d^2*(a - b))^(1/2))/(2*b*d*(a - b)*(a^2)^(3/2))) + 2*atan((exp(d*x)*exp(c)*((2*a^3)/(b^5*d*(a - b)^2*(a^2)^(3/2)) - (4*(2*b^2*d*(a^2)^(3/2) - 2*a*b*d*(a^2)^(3/2)))/(a^3*b^4*(a - b)*(a*b^3*d^2 - b^4*d^2)^(1/2)*(b^3*d^2*(a - b))^(1/2))) + (2*a^3*exp(3*c)*exp(3*d*x))/(b^5*d*(a - b)^2*(a^2)^(3/2)))*((b^5*(a*b^3*d^2 - b^4*d^2)^(1/2))/4 - (a*b^4*(a*b^3*d^2 - b^4*d^2)^(1/2))/4)))*(a^2)^(1/2))/(2*(a*b^3*d^2 - b^4*d^2)^(1/2)) + exp(- c - d*x)/(2*b*d)","B"
33,1,473,50,1.223504,"\text{Not used}","int(sinh(c + d*x)^2/(a + b*sinh(c + d*x)^2),x)","\frac{x}{b}-\frac{\sqrt{a}\,\mathrm{atan}\left(\frac{\left(b^5\,\sqrt{b^3\,d^2-a\,b^2\,d^2}-a\,b^4\,\sqrt{b^3\,d^2-a\,b^2\,d^2}\right)\,\left({\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\,\left(\frac{2\,\left(8\,a^2-8\,a\,b+b^2\right)\,\left(8\,a^{5/2}\,\sqrt{b^3\,d^2-a\,b^2\,d^2}-8\,a^{3/2}\,b\,\sqrt{b^3\,d^2-a\,b^2\,d^2}+\sqrt{a}\,b^2\,\sqrt{b^3\,d^2-a\,b^2\,d^2}\right)}{b^8\,d\,{\left(a-b\right)}^2\,\sqrt{b^3\,d^2-a\,b^2\,d^2}}+\frac{4\,\sqrt{a}\,\left(4\,a-2\,b\right)\,\left(8\,d\,a^3\,b-12\,d\,a^2\,b^2+4\,d\,a\,b^3\right)}{b^7\,\left(a-b\right)\,\sqrt{b^3\,d^2-a\,b^2\,d^2}\,\sqrt{-b^2\,d^2\,\left(a-b\right)}}\right)+\frac{2\,\left(2\,a^{3/2}\,b\,\sqrt{b^3\,d^2-a\,b^2\,d^2}-\sqrt{a}\,b^2\,\sqrt{b^3\,d^2-a\,b^2\,d^2}\right)\,\left(8\,a^2-8\,a\,b+b^2\right)}{b^8\,d\,{\left(a-b\right)}^2\,\sqrt{b^3\,d^2-a\,b^2\,d^2}}+\frac{4\,\sqrt{a}\,\left(2\,a^2\,b^2\,d-2\,a\,b^3\,d\right)\,\left(4\,a-2\,b\right)}{b^7\,\left(a-b\right)\,\sqrt{b^3\,d^2-a\,b^2\,d^2}\,\sqrt{-b^2\,d^2\,\left(a-b\right)}}\right)}{4\,a}\right)}{\sqrt{b^3\,d^2-a\,b^2\,d^2}}","Not used",1,"x/b - (a^(1/2)*atan(((b^5*(b^3*d^2 - a*b^2*d^2)^(1/2) - a*b^4*(b^3*d^2 - a*b^2*d^2)^(1/2))*(exp(2*c)*exp(2*d*x)*((2*(8*a^2 - 8*a*b + b^2)*(8*a^(5/2)*(b^3*d^2 - a*b^2*d^2)^(1/2) - 8*a^(3/2)*b*(b^3*d^2 - a*b^2*d^2)^(1/2) + a^(1/2)*b^2*(b^3*d^2 - a*b^2*d^2)^(1/2)))/(b^8*d*(a - b)^2*(b^3*d^2 - a*b^2*d^2)^(1/2)) + (4*a^(1/2)*(4*a - 2*b)*(4*a*b^3*d - 12*a^2*b^2*d + 8*a^3*b*d))/(b^7*(a - b)*(b^3*d^2 - a*b^2*d^2)^(1/2)*(-b^2*d^2*(a - b))^(1/2))) + (2*(2*a^(3/2)*b*(b^3*d^2 - a*b^2*d^2)^(1/2) - a^(1/2)*b^2*(b^3*d^2 - a*b^2*d^2)^(1/2))*(8*a^2 - 8*a*b + b^2))/(b^8*d*(a - b)^2*(b^3*d^2 - a*b^2*d^2)^(1/2)) + (4*a^(1/2)*(2*a^2*b^2*d - 2*a*b^3*d)*(4*a - 2*b))/(b^7*(a - b)*(b^3*d^2 - a*b^2*d^2)^(1/2)*(-b^2*d^2*(a - b))^(1/2))))/(4*a)))/(b^3*d^2 - a*b^2*d^2)^(1/2)","B"
34,1,116,40,0.987038,"\text{Not used}","int(sinh(c + d*x)/(a + b*sinh(c + d*x)^2),x)","\frac{\ln\left(-\frac{4\,\left(a+a\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^2\,\left(a-b\right)}-\frac{8\,a\,{\mathrm{e}}^{c+d\,x}}{{\left(-b\right)}^{5/2}\,\sqrt{a-b}}\right)-\ln\left(\frac{8\,a\,{\mathrm{e}}^{c+d\,x}}{{\left(-b\right)}^{5/2}\,\sqrt{a-b}}-\frac{4\,\left(a+a\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^2\,\left(a-b\right)}\right)}{2\,\sqrt{-b}\,d\,\sqrt{a-b}}","Not used",1,"(log(- (4*(a + a*exp(2*c + 2*d*x)))/(b^2*(a - b)) - (8*a*exp(c + d*x))/((-b)^(5/2)*(a - b)^(1/2))) - log((8*a*exp(c + d*x))/((-b)^(5/2)*(a - b)^(1/2)) - (4*(a + a*exp(2*c + 2*d*x)))/(b^2*(a - b))))/(2*(-b)^(1/2)*d*(a - b)^(1/2))","B"
35,1,146,40,0.449549,"\text{Not used}","int(1/(a + b*sinh(c + d*x)^2),x)","\frac{\ln\left(-\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}}{b}-\frac{2\,\left(b\,d+2\,a\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}-b\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{\sqrt{a}\,b\,d\,\sqrt{a-b}}\right)-\ln\left(\frac{2\,\left(b\,d+2\,a\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}-b\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{\sqrt{a}\,b\,d\,\sqrt{a-b}}-\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}}{b}\right)}{2\,\sqrt{a}\,d\,\sqrt{a-b}}","Not used",1,"(log(- (4*exp(2*c + 2*d*x))/b - (2*(b*d + 2*a*d*exp(2*c + 2*d*x) - b*d*exp(2*c + 2*d*x)))/(a^(1/2)*b*d*(a - b)^(1/2))) - log((2*(b*d + 2*a*d*exp(2*c + 2*d*x) - b*d*exp(2*c + 2*d*x)))/(a^(1/2)*b*d*(a - b)^(1/2)) - (4*exp(2*c + 2*d*x))/b))/(2*a^(1/2)*d*(a - b)^(1/2))","B"
36,1,323,60,1.058729,"\text{Not used}","int(1/(sinh(c + d*x)*(a + b*sinh(c + d*x)^2)),x)","-\frac{2\,\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(16\,a^2\,\sqrt{-a^2\,d^2}+9\,b^2\,\sqrt{-a^2\,d^2}-24\,a\,b\,\sqrt{-a^2\,d^2}\right)}{16\,d\,a^3-24\,d\,a^2\,b+9\,d\,a\,b^2}\right)}{\sqrt{-a^2\,d^2}}-\frac{\sqrt{b}\,\left(2\,\mathrm{atan}\left(\frac{\sqrt{b}\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\sqrt{a^2\,d^2\,\left(a-b\right)}}{2\,a\,d\,\left(a-b\right)}\right)+2\,\mathrm{atan}\left(\frac{4\,a^4\,d^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c+4\,a^2\,b^2\,d^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c+b\,{\mathrm{e}}^{3\,c}\,{\mathrm{e}}^{3\,d\,x}\,\sqrt{a^3\,d^2-a^2\,b\,d^2}\,\sqrt{a^2\,d^2\,\left(a-b\right)}-8\,a^3\,b\,d^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c+b\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\sqrt{a^3\,d^2-a^2\,b\,d^2}\,\sqrt{a^2\,d^2\,\left(a-b\right)}}{\sqrt{b}\,d\,\left(2\,a\,b-2\,a^2\right)\,\sqrt{a^2\,d^2\,\left(a-b\right)}}\right)\right)}{2\,\sqrt{a^3\,d^2-a^2\,b\,d^2}}","Not used",1,"- (2*atan((exp(d*x)*exp(c)*(16*a^2*(-a^2*d^2)^(1/2) + 9*b^2*(-a^2*d^2)^(1/2) - 24*a*b*(-a^2*d^2)^(1/2)))/(16*a^3*d + 9*a*b^2*d - 24*a^2*b*d)))/(-a^2*d^2)^(1/2) - (b^(1/2)*(2*atan((b^(1/2)*exp(d*x)*exp(c)*(a^2*d^2*(a - b))^(1/2))/(2*a*d*(a - b))) + 2*atan((4*a^4*d^2*exp(d*x)*exp(c) + 4*a^2*b^2*d^2*exp(d*x)*exp(c) + b*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) - 8*a^3*b*d^2*exp(d*x)*exp(c) + b*exp(d*x)*exp(c)*(a^3*d^2 - a^2*b*d^2)^(1/2)*(a^2*d^2*(a - b))^(1/2))/(b^(1/2)*d*(2*a*b - 2*a^2)*(a^2*d^2*(a - b))^(1/2)))))/(2*(a^3*d^2 - a^2*b*d^2)^(1/2))","B"
37,1,176,57,0.466736,"\text{Not used}","int(1/(sinh(c + d*x)^2*(a + b*sinh(c + d*x)^2)),x)","\frac{b\,\ln\left(\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}}{a}-\frac{2\,\left(b\,d+2\,a\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}-b\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^{3/2}\,d\,\sqrt{a-b}}\right)}{2\,a^{3/2}\,d\,\sqrt{a-b}}-\frac{2}{a\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{b\,\ln\left(\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}}{a}+\frac{2\,\left(b\,d+2\,a\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}-b\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^{3/2}\,d\,\sqrt{a-b}}\right)}{2\,a^{3/2}\,d\,\sqrt{a-b}}","Not used",1,"(b*log((4*exp(2*c + 2*d*x))/a - (2*(b*d + 2*a*d*exp(2*c + 2*d*x) - b*d*exp(2*c + 2*d*x)))/(a^(3/2)*d*(a - b)^(1/2))))/(2*a^(3/2)*d*(a - b)^(1/2)) - 2/(a*d*(exp(2*c + 2*d*x) - 1)) - (b*log((4*exp(2*c + 2*d*x))/a + (2*(b*d + 2*a*d*exp(2*c + 2*d*x) - b*d*exp(2*c + 2*d*x)))/(a^(3/2)*d*(a - b)^(1/2))))/(2*a^(3/2)*d*(a - b)^(1/2))","B"
38,1,571,88,1.396143,"\text{Not used}","int(1/(sinh(c + d*x)^3*(a + b*sinh(c + d*x)^2)),x)","\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(a^7\,\sqrt{-a^4\,d^2}+18\,b^7\,\sqrt{-a^4\,d^2}-36\,a^2\,b^5\,\sqrt{-a^4\,d^2}-30\,a^3\,b^4\,\sqrt{-a^4\,d^2}+12\,a^4\,b^3\,\sqrt{-a^4\,d^2}+21\,a^5\,b^2\,\sqrt{-a^4\,d^2}+9\,a\,b^6\,\sqrt{-a^4\,d^2}+8\,a^6\,b\,\sqrt{-a^4\,d^2}\right)}{a^8\,d\,\sqrt{a^2+4\,a\,b+4\,b^2}+9\,a^2\,b^6\,d\,\sqrt{a^2+4\,a\,b+4\,b^2}-18\,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}+9\,a^6\,b^2\,d\,\sqrt{a^2+4\,a\,b+4\,b^2}+6\,a^7\,b\,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{{\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)}-\frac{{\left(-b\right)}^{3/2}\,\ln\left(\frac{64\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(a^3+3\,a^2\,b-3\,b^3\right)}{a^5\,{\left(a-b\right)}^2}-\frac{128\,{\mathrm{e}}^{c+d\,x}\,\left(a^3+3\,a^2\,b-3\,b^3\right)}{a^5\,\sqrt{-b}\,{\left(a-b\right)}^{3/2}}\right)}{2\,a^2\,d\,\sqrt{a-b}}+\frac{{\left(-b\right)}^{3/2}\,\ln\left(\frac{64\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(a^3+3\,a^2\,b-3\,b^3\right)}{a^5\,{\left(a-b\right)}^2}+\frac{128\,{\mathrm{e}}^{c+d\,x}\,\left(a^3+3\,a^2\,b-3\,b^3\right)}{a^5\,\sqrt{-b}\,{\left(a-b\right)}^{3/2}}\right)}{2\,a^2\,d\,\sqrt{a-b}}","Not used",1,"(atan((exp(d*x)*exp(c)*(a^7*(-a^4*d^2)^(1/2) + 18*b^7*(-a^4*d^2)^(1/2) - 36*a^2*b^5*(-a^4*d^2)^(1/2) - 30*a^3*b^4*(-a^4*d^2)^(1/2) + 12*a^4*b^3*(-a^4*d^2)^(1/2) + 21*a^5*b^2*(-a^4*d^2)^(1/2) + 9*a*b^6*(-a^4*d^2)^(1/2) + 8*a^6*b*(-a^4*d^2)^(1/2)))/(a^8*d*(4*a*b + a^2 + 4*b^2)^(1/2) + 9*a^2*b^6*d*(4*a*b + a^2 + 4*b^2)^(1/2) - 18*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) + 9*a^6*b^2*d*(4*a*b + a^2 + 4*b^2)^(1/2) + 6*a^7*b*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) - 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)^(3/2)*log((64*(exp(2*c + 2*d*x) + 1)*(3*a^2*b + a^3 - 3*b^3))/(a^5*(a - b)^2) - (128*exp(c + d*x)*(3*a^2*b + a^3 - 3*b^3))/(a^5*(-b)^(1/2)*(a - b)^(3/2))))/(2*a^2*d*(a - b)^(1/2)) + ((-b)^(3/2)*log((64*(exp(2*c + 2*d*x) + 1)*(3*a^2*b + a^3 - 3*b^3))/(a^5*(a - b)^2) + (128*exp(c + d*x)*(3*a^2*b + a^3 - 3*b^3))/(a^5*(-b)^(1/2)*(a - b)^(3/2))))/(2*a^2*d*(a - b)^(1/2))","B"
39,1,350,78,1.182660,"\text{Not used}","int(1/(sinh(c + d*x)^4*(a + b*sinh(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{b^2\,\ln\left(\frac{4\,b^2\,\left(2\,a\,b-b^2+8\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-8\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^5\,\left(a-b\right)}-\frac{8\,b^2\,\left(b+4\,a\,{\mathrm{e}}^{2\,c+2\,d\,x}-2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^{9/2}\,\sqrt{a-b}}\right)}{2\,a^{5/2}\,d\,\sqrt{a-b}}+\frac{b^2\,\ln\left(\frac{4\,b^2\,\left(2\,a\,b-b^2+8\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-8\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^5\,\left(a-b\right)}+\frac{8\,b^2\,\left(b+4\,a\,{\mathrm{e}}^{2\,c+2\,d\,x}-2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^{9/2}\,\sqrt{a-b}}\right)}{2\,a^{5/2}\,d\,\sqrt{a-b}}","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^2*log((4*b^2*(2*a*b - b^2 + 8*a^2*exp(2*c + 2*d*x) + b^2*exp(2*c + 2*d*x) - 8*a*b*exp(2*c + 2*d*x)))/(a^5*(a - b)) - (8*b^2*(b + 4*a*exp(2*c + 2*d*x) - 2*b*exp(2*c + 2*d*x)))/(a^(9/2)*(a - b)^(1/2))))/(2*a^(5/2)*d*(a - b)^(1/2)) + (b^2*log((4*b^2*(2*a*b - b^2 + 8*a^2*exp(2*c + 2*d*x) + b^2*exp(2*c + 2*d*x) - 8*a*b*exp(2*c + 2*d*x)))/(a^5*(a - b)) + (8*b^2*(b + 4*a*exp(2*c + 2*d*x) - 2*b*exp(2*c + 2*d*x)))/(a^(9/2)*(a - b)^(1/2))))/(2*a^(5/2)*d*(a - b)^(1/2))","B"
40,1,1639,130,5.658935,"\text{Not used}","int(1/(sinh(c + d*x)^5*(a + b*sinh(c + d*x)^2)),x)","\frac{{\mathrm{e}}^{c+d\,x}\,\left(3\,a^2+4\,b\,a\right)}{4\,a^3\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(243\,a^{12}\,\sqrt{-a^6\,d^2}+18432\,b^{12}\,\sqrt{-a^6\,d^2}+6912\,a^2\,b^{10}\,\sqrt{-a^6\,d^2}-30720\,a^3\,b^9\,\sqrt{-a^6\,d^2}-26880\,a^4\,b^8\,\sqrt{-a^6\,d^2}-24192\,a^5\,b^7\,\sqrt{-a^6\,d^2}+5024\,a^6\,b^6\,\sqrt{-a^6\,d^2}+13408\,a^7\,b^5\,\sqrt{-a^6\,d^2}+17160\,a^8\,b^4\,\sqrt{-a^6\,d^2}+9540\,a^9\,b^3\,\sqrt{-a^6\,d^2}+4563\,a^{10}\,b^2\,\sqrt{-a^6\,d^2}+9216\,a\,b^{11}\,\sqrt{-a^6\,d^2}+1134\,a^{11}\,b\,\sqrt{-a^6\,d^2}\right)}{81\,a^{13}\,d\,\sqrt{9\,a^4+24\,a^3\,b+64\,a^2\,b^2+64\,a\,b^3+64\,b^4}+2304\,a^3\,b^{10}\,d\,\sqrt{9\,a^4+24\,a^3\,b+64\,a^2\,b^2+64\,a\,b^3+64\,b^4}-3840\,a^6\,b^7\,d\,\sqrt{9\,a^4+24\,a^3\,b+64\,a^2\,b^2+64\,a\,b^3+64\,b^4}-1440\,a^7\,b^6\,d\,\sqrt{9\,a^4+24\,a^3\,b+64\,a^2\,b^2+64\,a\,b^3+64\,b^4}-864\,a^8\,b^5\,d\,\sqrt{9\,a^4+24\,a^3\,b+64\,a^2\,b^2+64\,a\,b^3+64\,b^4}+1600\,a^9\,b^4\,d\,\sqrt{9\,a^4+24\,a^3\,b+64\,a^2\,b^2+64\,a\,b^3+64\,b^4}+1200\,a^{10}\,b^3\,d\,\sqrt{9\,a^4+24\,a^3\,b+64\,a^2\,b^2+64\,a\,b^3+64\,b^4}+945\,a^{11}\,b^2\,d\,\sqrt{9\,a^4+24\,a^3\,b+64\,a^2\,b^2+64\,a\,b^3+64\,b^4}+270\,a^{12}\,b\,d\,\sqrt{9\,a^4+24\,a^3\,b+64\,a^2\,b^2+64\,a\,b^3+64\,b^4}}\right)\,\sqrt{9\,a^4+24\,a^3\,b+64\,a^2\,b^2+64\,a\,b^3+64\,b^4}}{4\,\sqrt{-a^6\,d^2}}-\frac{6\,{\mathrm{e}}^{c+d\,x}}{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\,{\mathrm{e}}^{c+d\,x}}{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)}-\frac{\left(2\,\mathrm{atan}\left(\frac{b^3\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\sqrt{a^6\,d^2\,\left(a-b\right)}\,\left(9\,a^5+15\,a^4\,b+40\,a^3\,b^2-48\,b^5\right)}{2\,a^3\,d\,\sqrt{b^5}\,\left(9\,a^6+6\,a^5\,b+25\,a^4\,b^2-40\,a^3\,b^3-48\,a\,b^5+48\,b^6\right)}\right)+2\,\mathrm{atan}\left(\left({\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(\frac{4\,\left(18\,a^9\,d\,\sqrt{b^5}-96\,a^4\,d\,{\left(b^5\right)}^{3/2}+96\,a^3\,b\,d\,{\left(b^5\right)}^{3/2}+12\,a^8\,b\,d\,\sqrt{b^5}-80\,a^6\,b^3\,d\,\sqrt{b^5}+50\,a^7\,b^2\,d\,\sqrt{b^5}\right)}{a^8\,b^4\,\left(a-b\right)\,\sqrt{a^7\,d^2-a^6\,b\,d^2}\,\left(a\,b-a^2\right)\,\sqrt{a^6\,d^2\,\left(a-b\right)}\,\left(9\,a^5+15\,a^4\,b+40\,a^3\,b^2-48\,b^5\right)}+\frac{2\,\left(40\,a^3\,b^5\,\sqrt{a^7\,d^2-a^6\,b\,d^2}-48\,b^8\,\sqrt{a^7\,d^2-a^6\,b\,d^2}+15\,a^4\,b^4\,\sqrt{a^7\,d^2-a^6\,b\,d^2}+9\,a^5\,b^3\,\sqrt{a^7\,d^2-a^6\,b\,d^2}\right)}{a^{11}\,b\,d\,\left(a-b\right)\,\sqrt{a^7\,d^2-a^6\,b\,d^2}\,\left(a\,b-a^2\right)\,\sqrt{b^5}\,\left(9\,a^6+6\,a^5\,b+25\,a^4\,b^2-40\,a^3\,b^3-48\,a\,b^5+48\,b^6\right)}\right)+\frac{2\,{\mathrm{e}}^{3\,c}\,{\mathrm{e}}^{3\,d\,x}\,\left(40\,a^3\,b^5\,\sqrt{a^7\,d^2-a^6\,b\,d^2}-48\,b^8\,\sqrt{a^7\,d^2-a^6\,b\,d^2}+15\,a^4\,b^4\,\sqrt{a^7\,d^2-a^6\,b\,d^2}+9\,a^5\,b^3\,\sqrt{a^7\,d^2-a^6\,b\,d^2}\right)}{a^{11}\,b\,d\,\left(a-b\right)\,\sqrt{a^7\,d^2-a^6\,b\,d^2}\,\left(a\,b-a^2\right)\,\sqrt{b^5}\,\left(9\,a^6+6\,a^5\,b+25\,a^4\,b^2-40\,a^3\,b^3-48\,a\,b^5+48\,b^6\right)}\right)\,\left(\frac{a^{11}\,b\,\sqrt{a^7\,d^2-a^6\,b\,d^2}}{4}+\frac{a^9\,b^3\,\sqrt{a^7\,d^2-a^6\,b\,d^2}}{4}-\frac{a^{10}\,b^2\,\sqrt{a^7\,d^2-a^6\,b\,d^2}}{2}\right)\right)\right)\,\sqrt{b^5}}{2\,\sqrt{a^7\,d^2-a^6\,b\,d^2}}-\frac{{\mathrm{e}}^{c+d\,x}\,\left(a-4\,b\right)}{2\,a^2\,d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"(exp(c + d*x)*(4*a*b + 3*a^2))/(4*a^3*d*(exp(2*c + 2*d*x) - 1)) - (atan((exp(d*x)*exp(c)*(243*a^12*(-a^6*d^2)^(1/2) + 18432*b^12*(-a^6*d^2)^(1/2) + 6912*a^2*b^10*(-a^6*d^2)^(1/2) - 30720*a^3*b^9*(-a^6*d^2)^(1/2) - 26880*a^4*b^8*(-a^6*d^2)^(1/2) - 24192*a^5*b^7*(-a^6*d^2)^(1/2) + 5024*a^6*b^6*(-a^6*d^2)^(1/2) + 13408*a^7*b^5*(-a^6*d^2)^(1/2) + 17160*a^8*b^4*(-a^6*d^2)^(1/2) + 9540*a^9*b^3*(-a^6*d^2)^(1/2) + 4563*a^10*b^2*(-a^6*d^2)^(1/2) + 9216*a*b^11*(-a^6*d^2)^(1/2) + 1134*a^11*b*(-a^6*d^2)^(1/2)))/(81*a^13*d*(64*a*b^3 + 24*a^3*b + 9*a^4 + 64*b^4 + 64*a^2*b^2)^(1/2) + 2304*a^3*b^10*d*(64*a*b^3 + 24*a^3*b + 9*a^4 + 64*b^4 + 64*a^2*b^2)^(1/2) - 3840*a^6*b^7*d*(64*a*b^3 + 24*a^3*b + 9*a^4 + 64*b^4 + 64*a^2*b^2)^(1/2) - 1440*a^7*b^6*d*(64*a*b^3 + 24*a^3*b + 9*a^4 + 64*b^4 + 64*a^2*b^2)^(1/2) - 864*a^8*b^5*d*(64*a*b^3 + 24*a^3*b + 9*a^4 + 64*b^4 + 64*a^2*b^2)^(1/2) + 1600*a^9*b^4*d*(64*a*b^3 + 24*a^3*b + 9*a^4 + 64*b^4 + 64*a^2*b^2)^(1/2) + 1200*a^10*b^3*d*(64*a*b^3 + 24*a^3*b + 9*a^4 + 64*b^4 + 64*a^2*b^2)^(1/2) + 945*a^11*b^2*d*(64*a*b^3 + 24*a^3*b + 9*a^4 + 64*b^4 + 64*a^2*b^2)^(1/2) + 270*a^12*b*d*(64*a*b^3 + 24*a^3*b + 9*a^4 + 64*b^4 + 64*a^2*b^2)^(1/2)))*(64*a*b^3 + 24*a^3*b + 9*a^4 + 64*b^4 + 64*a^2*b^2)^(1/2))/(4*(-a^6*d^2)^(1/2)) - (6*exp(c + d*x))/(a*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*d*(6*exp(4*c + 4*d*x) - 4*exp(2*c + 2*d*x) - 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1)) - ((2*atan((b^3*exp(d*x)*exp(c)*(a^6*d^2*(a - b))^(1/2)*(15*a^4*b + 9*a^5 - 48*b^5 + 40*a^3*b^2))/(2*a^3*d*(b^5)^(1/2)*(6*a^5*b - 48*a*b^5 + 9*a^6 + 48*b^6 - 40*a^3*b^3 + 25*a^4*b^2))) + 2*atan((exp(d*x)*exp(c)*((4*(18*a^9*d*(b^5)^(1/2) - 96*a^4*d*(b^5)^(3/2) + 96*a^3*b*d*(b^5)^(3/2) + 12*a^8*b*d*(b^5)^(1/2) - 80*a^6*b^3*d*(b^5)^(1/2) + 50*a^7*b^2*d*(b^5)^(1/2)))/(a^8*b^4*(a - b)*(a^7*d^2 - a^6*b*d^2)^(1/2)*(a*b - a^2)*(a^6*d^2*(a - b))^(1/2)*(15*a^4*b + 9*a^5 - 48*b^5 + 40*a^3*b^2)) + (2*(40*a^3*b^5*(a^7*d^2 - a^6*b*d^2)^(1/2) - 48*b^8*(a^7*d^2 - a^6*b*d^2)^(1/2) + 15*a^4*b^4*(a^7*d^2 - a^6*b*d^2)^(1/2) + 9*a^5*b^3*(a^7*d^2 - a^6*b*d^2)^(1/2)))/(a^11*b*d*(a - b)*(a^7*d^2 - a^6*b*d^2)^(1/2)*(a*b - a^2)*(b^5)^(1/2)*(6*a^5*b - 48*a*b^5 + 9*a^6 + 48*b^6 - 40*a^3*b^3 + 25*a^4*b^2))) + (2*exp(3*c)*exp(3*d*x)*(40*a^3*b^5*(a^7*d^2 - a^6*b*d^2)^(1/2) - 48*b^8*(a^7*d^2 - a^6*b*d^2)^(1/2) + 15*a^4*b^4*(a^7*d^2 - a^6*b*d^2)^(1/2) + 9*a^5*b^3*(a^7*d^2 - a^6*b*d^2)^(1/2)))/(a^11*b*d*(a - b)*(a^7*d^2 - a^6*b*d^2)^(1/2)*(a*b - a^2)*(b^5)^(1/2)*(6*a^5*b - 48*a*b^5 + 9*a^6 + 48*b^6 - 40*a^3*b^3 + 25*a^4*b^2)))*((a^11*b*(a^7*d^2 - a^6*b*d^2)^(1/2))/4 + (a^9*b^3*(a^7*d^2 - a^6*b*d^2)^(1/2))/4 - (a^10*b^2*(a^7*d^2 - a^6*b*d^2)^(1/2))/2)))*(b^5)^(1/2))/(2*(a^7*d^2 - a^6*b*d^2)^(1/2)) - (exp(c + d*x)*(a - 4*b))/(2*a^2*d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1))","B"
41,1,479,110,1.209288,"\text{Not used}","int(1/(sinh(c + d*x)^6*(a + b*sinh(c + d*x)^2)),x)","\frac{4\,b}{a^2\,d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{32}{5\,a\,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\,b^2}{a^3\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{8\,\left(4\,a-b\right)}{3\,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{16}{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)}+\frac{b^3\,\ln\left(\frac{4\,b^4\,\left(2\,a\,b-b^2+8\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-8\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^7\,\left(a-b\right)}-\frac{8\,b^4\,\left(b+4\,a\,{\mathrm{e}}^{2\,c+2\,d\,x}-2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^{13/2}\,\sqrt{a-b}}\right)}{2\,a^{7/2}\,d\,\sqrt{a-b}}-\frac{b^3\,\ln\left(\frac{4\,b^4\,\left(2\,a\,b-b^2+8\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-8\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^7\,\left(a-b\right)}+\frac{8\,b^4\,\left(b+4\,a\,{\mathrm{e}}^{2\,c+2\,d\,x}-2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^{13/2}\,\sqrt{a-b}}\right)}{2\,a^{7/2}\,d\,\sqrt{a-b}}","Not used",1,"(4*b)/(a^2*d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) - 32/(5*a*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)/(a^3*d*(exp(2*c + 2*d*x) - 1)) - (8*(4*a - b))/(3*a^2*d*(3*exp(2*c + 2*d*x) - 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) - 1)) - 16/(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^3*log((4*b^4*(2*a*b - b^2 + 8*a^2*exp(2*c + 2*d*x) + b^2*exp(2*c + 2*d*x) - 8*a*b*exp(2*c + 2*d*x)))/(a^7*(a - b)) - (8*b^4*(b + 4*a*exp(2*c + 2*d*x) - 2*b*exp(2*c + 2*d*x)))/(a^(13/2)*(a - b)^(1/2))))/(2*a^(7/2)*d*(a - b)^(1/2)) - (b^3*log((4*b^4*(2*a*b - b^2 + 8*a^2*exp(2*c + 2*d*x) + b^2*exp(2*c + 2*d*x) - 8*a*b*exp(2*c + 2*d*x)))/(a^7*(a - b)) + (8*b^4*(b + 4*a*exp(2*c + 2*d*x) - 2*b*exp(2*c + 2*d*x)))/(a^(13/2)*(a - b)^(1/2))))/(2*a^(7/2)*d*(a - b)^(1/2))","B"
42,0,-1,102,0.000000,"\text{Not used}","int(sinh(c + d*x)^4/(a + b*sinh(c + d*x)^2)^2,x)","\int \frac{{\mathrm{sinh}\left(c+d\,x\right)}^4}{{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(sinh(c + d*x)^4/(a + b*sinh(c + d*x)^2)^2, x)","F"
43,0,-1,90,0.000000,"\text{Not used}","int(sinh(c + d*x)^3/(a + b*sinh(c + d*x)^2)^2,x)","\int \frac{{\mathrm{sinh}\left(c+d\,x\right)}^3}{{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(sinh(c + d*x)^3/(a + b*sinh(c + d*x)^2)^2, x)","F"
44,0,-1,84,0.000000,"\text{Not used}","int(sinh(c + d*x)^2/(a + b*sinh(c + d*x)^2)^2,x)","\int \frac{{\mathrm{sinh}\left(c+d\,x\right)}^2}{{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(sinh(c + d*x)^2/(a + b*sinh(c + d*x)^2)^2, x)","F"
45,0,-1,81,0.000000,"\text{Not used}","int(sinh(c + d*x)/(a + b*sinh(c + d*x)^2)^2,x)","\int \frac{\mathrm{sinh}\left(c+d\,x\right)}{{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(sinh(c + d*x)/(a + b*sinh(c + d*x)^2)^2, x)","F"
46,0,-1,95,0.000000,"\text{Not used}","int(1/(a + b*sinh(c + d*x)^2)^2,x)","\int \frac{1}{{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(1/(a + b*sinh(c + d*x)^2)^2, x)","F"
47,0,-1,110,0.000000,"\text{Not used}","int(1/(sinh(c + d*x)*(a + b*sinh(c + d*x)^2)^2),x)","\int \frac{1}{\mathrm{sinh}\left(c+d\,x\right)\,{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(1/(sinh(c + d*x)*(a + b*sinh(c + d*x)^2)^2), x)","F"
48,0,-1,142,0.000000,"\text{Not used}","int(1/(sinh(c + d*x)^2*(a + b*sinh(c + d*x)^2)^2),x)","\int \frac{1}{{\mathrm{sinh}\left(c+d\,x\right)}^2\,{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(1/(sinh(c + d*x)^2*(a + b*sinh(c + d*x)^2)^2), x)","F"
49,0,-1,161,0.000000,"\text{Not used}","int(1/(sinh(c + d*x)^3*(a + b*sinh(c + d*x)^2)^2),x)","\int \frac{1}{{\mathrm{sinh}\left(c+d\,x\right)}^3\,{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(1/(sinh(c + d*x)^3*(a + b*sinh(c + d*x)^2)^2), x)","F"
50,0,-1,174,0.000000,"\text{Not used}","int(1/(sinh(c + d*x)^4*(a + b*sinh(c + d*x)^2)^2),x)","\int \frac{1}{{\mathrm{sinh}\left(c+d\,x\right)}^4\,{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(1/(sinh(c + d*x)^4*(a + b*sinh(c + d*x)^2)^2), x)","F"
51,0,-1,124,0.000000,"\text{Not used}","int(sinh(c + d*x)^4/(a + b*sinh(c + d*x)^2)^3,x)","\int \frac{{\mathrm{sinh}\left(c+d\,x\right)}^4}{{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(sinh(c + d*x)^4/(a + b*sinh(c + d*x)^2)^3, x)","F"
52,0,-1,135,0.000000,"\text{Not used}","int(sinh(c + d*x)^3/(a + b*sinh(c + d*x)^2)^3,x)","\int \frac{{\mathrm{sinh}\left(c+d\,x\right)}^3}{{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(sinh(c + d*x)^3/(a + b*sinh(c + d*x)^2)^3, x)","F"
53,0,-1,139,0.000000,"\text{Not used}","int(sinh(c + d*x)^2/(a + b*sinh(c + d*x)^2)^3,x)","\int \frac{{\mathrm{sinh}\left(c+d\,x\right)}^2}{{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(sinh(c + d*x)^2/(a + b*sinh(c + d*x)^2)^3, x)","F"
54,0,-1,118,0.000000,"\text{Not used}","int(sinh(c + d*x)/(a + b*sinh(c + d*x)^2)^3,x)","\int \frac{\mathrm{sinh}\left(c+d\,x\right)}{{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(sinh(c + d*x)/(a + b*sinh(c + d*x)^2)^3, x)","F"
55,0,-1,154,0.000000,"\text{Not used}","int(1/(a + b*sinh(c + d*x)^2)^3,x)","\int \frac{1}{{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(1/(a + b*sinh(c + d*x)^2)^3, x)","F"
56,0,-1,166,0.000000,"\text{Not used}","int(1/(sinh(c + d*x)*(a + b*sinh(c + d*x)^2)^3),x)","\int \frac{1}{\mathrm{sinh}\left(c+d\,x\right)\,{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(1/(sinh(c + d*x)*(a + b*sinh(c + d*x)^2)^3), x)","F"
57,0,-1,215,0.000000,"\text{Not used}","int(1/(sinh(c + d*x)^2*(a + b*sinh(c + d*x)^2)^3),x)","\int \frac{1}{{\mathrm{sinh}\left(c+d\,x\right)}^2\,{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(1/(sinh(c + d*x)^2*(a + b*sinh(c + d*x)^2)^3), x)","F"
58,0,-1,224,0.000000,"\text{Not used}","int(1/(sinh(c + d*x)^3*(a + b*sinh(c + d*x)^2)^3),x)","\int \frac{1}{{\mathrm{sinh}\left(c+d\,x\right)}^3\,{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(1/(sinh(c + d*x)^3*(a + b*sinh(c + d*x)^2)^3), x)","F"
59,0,-1,259,0.000000,"\text{Not used}","int(1/(sinh(c + d*x)^4*(a + b*sinh(c + d*x)^2)^3),x)","\int \frac{1}{{\mathrm{sinh}\left(c+d\,x\right)}^4\,{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(1/(sinh(c + d*x)^4*(a + b*sinh(c + d*x)^2)^3), x)","F"
60,1,10,2,0.039205,"\text{Not used}","int(1/(sinh(x)^2 + 1),x)","-\frac{2}{{\mathrm{e}}^{2\,x}+1}","Not used",1,"-2/(exp(2*x) + 1)","B"
61,1,18,11,0.588414,"\text{Not used}","int(1/(sinh(x)^2 + 1)^2,x)","-\frac{4\,\left(3\,{\mathrm{e}}^{2\,x}+1\right)}{3\,{\left({\mathrm{e}}^{2\,x}+1\right)}^3}","Not used",1,"-(4*(3*exp(2*x) + 1))/(3*(exp(2*x) + 1)^3)","B"
62,1,24,19,0.609460,"\text{Not used}","int(1/(sinh(x)^2 + 1)^3,x)","-\frac{16\,\left(5\,{\mathrm{e}}^{2\,x}+10\,{\mathrm{e}}^{4\,x}+1\right)}{15\,{\left({\mathrm{e}}^{2\,x}+1\right)}^5}","Not used",1,"-(16*(5*exp(2*x) + 10*exp(4*x) + 1))/(15*(exp(2*x) + 1)^5)","B"
63,1,50,15,0.154070,"\text{Not used}","int(-1/(sinh(x)^2 - 1),x)","-\frac{\sqrt{2}\,\left(\ln\left(4\,{\mathrm{e}}^{2\,x}-\frac{\sqrt{2}\,\left(12\,{\mathrm{e}}^{2\,x}-4\right)}{4}\right)-\ln\left(4\,{\mathrm{e}}^{2\,x}+\frac{\sqrt{2}\,\left(12\,{\mathrm{e}}^{2\,x}-4\right)}{4}\right)\right)}{4}","Not used",1,"-(2^(1/2)*(log(4*exp(2*x) - (2^(1/2)*(12*exp(2*x) - 4))/4) - log(4*exp(2*x) + (2^(1/2)*(12*exp(2*x) - 4))/4)))/4","B"
64,1,77,37,0.692814,"\text{Not used}","int(1/(sinh(x)^2 - 1)^2,x)","\frac{3\,\sqrt{2}\,\ln\left(3\,{\mathrm{e}}^{2\,x}+\frac{3\,\sqrt{2}\,\left(12\,{\mathrm{e}}^{2\,x}-4\right)}{16}\right)}{16}-\frac{3\,\sqrt{2}\,\ln\left(3\,{\mathrm{e}}^{2\,x}-\frac{3\,\sqrt{2}\,\left(12\,{\mathrm{e}}^{2\,x}-4\right)}{16}\right)}{16}-\frac{\frac{3\,{\mathrm{e}}^{2\,x}}{2}-\frac{1}{2}}{{\mathrm{e}}^{4\,x}-6\,{\mathrm{e}}^{2\,x}+1}","Not used",1,"(3*2^(1/2)*log(3*exp(2*x) + (3*2^(1/2)*(12*exp(2*x) - 4))/16))/16 - (3*2^(1/2)*log(3*exp(2*x) - (3*2^(1/2)*(12*exp(2*x) - 4))/16))/16 - ((3*exp(2*x))/2 - 1/2)/(exp(4*x) - 6*exp(2*x) + 1)","B"
65,1,112,55,0.609608,"\text{Not used}","int(-1/(sinh(x)^2 - 1)^3,x)","\frac{17\,{\mathrm{e}}^{2\,x}-3}{38\,{\mathrm{e}}^{4\,x}-12\,{\mathrm{e}}^{2\,x}-12\,{\mathrm{e}}^{6\,x}+{\mathrm{e}}^{8\,x}+1}-\frac{19\,\sqrt{2}\,\ln\left(\frac{19\,{\mathrm{e}}^{2\,x}}{8}-\frac{19\,\sqrt{2}\,\left(12\,{\mathrm{e}}^{2\,x}-4\right)}{128}\right)}{128}+\frac{19\,\sqrt{2}\,\ln\left(\frac{19\,{\mathrm{e}}^{2\,x}}{8}+\frac{19\,\sqrt{2}\,\left(12\,{\mathrm{e}}^{2\,x}-4\right)}{128}\right)}{128}-\frac{\frac{19\,{\mathrm{e}}^{2\,x}}{16}-\frac{57}{16}}{{\mathrm{e}}^{4\,x}-6\,{\mathrm{e}}^{2\,x}+1}","Not used",1,"(17*exp(2*x) - 3)/(38*exp(4*x) - 12*exp(2*x) - 12*exp(6*x) + exp(8*x) + 1) - (19*2^(1/2)*log((19*exp(2*x))/8 - (19*2^(1/2)*(12*exp(2*x) - 4))/128))/128 + (19*2^(1/2)*log((19*exp(2*x))/8 + (19*2^(1/2)*(12*exp(2*x) - 4))/128))/128 - ((19*exp(2*x))/16 - 57/16)/(exp(4*x) - 6*exp(2*x) + 1)","B"
66,0,-1,130,0.000000,"\text{Not used}","int(sinh(e + f*x)^3*(a + b*sinh(e + f*x)^2)^(1/2),x)","\int {\mathrm{sinh}\left(e+f\,x\right)}^3\,\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a} \,d x","Not used",1,"int(sinh(e + f*x)^3*(a + b*sinh(e + f*x)^2)^(1/2), x)","F"
67,0,-1,82,0.000000,"\text{Not used}","int(sinh(e + f*x)*(a + b*sinh(e + f*x)^2)^(1/2),x)","\int \mathrm{sinh}\left(e+f\,x\right)\,\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a} \,d x","Not used",1,"int(sinh(e + f*x)*(a + b*sinh(e + f*x)^2)^(1/2), x)","F"
68,0,-1,84,0.000000,"\text{Not used}","int((a + b*sinh(e + f*x)^2)^(1/2)/sinh(e + f*x),x)","\int \frac{\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}}{\mathrm{sinh}\left(e+f\,x\right)} \,d x","Not used",1,"int((a + b*sinh(e + f*x)^2)^(1/2)/sinh(e + f*x), x)","F"
69,0,-1,88,0.000000,"\text{Not used}","int((a + b*sinh(e + f*x)^2)^(1/2)/sinh(e + f*x)^3,x)","\int \frac{\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}}{{\mathrm{sinh}\left(e+f\,x\right)}^3} \,d x","Not used",1,"int((a + b*sinh(e + f*x)^2)^(1/2)/sinh(e + f*x)^3, x)","F"
70,0,-1,144,0.000000,"\text{Not used}","int((a + b*sinh(e + f*x)^2)^(1/2)/sinh(e + f*x)^5,x)","\int \frac{\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}}{{\mathrm{sinh}\left(e+f\,x\right)}^5} \,d x","Not used",1,"int((a + b*sinh(e + f*x)^2)^(1/2)/sinh(e + f*x)^5, x)","F"
71,0,-1,300,0.000000,"\text{Not used}","int(sinh(e + f*x)^4*(a + b*sinh(e + f*x)^2)^(1/2),x)","\int {\mathrm{sinh}\left(e+f\,x\right)}^4\,\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a} \,d x","Not used",1,"int(sinh(e + f*x)^4*(a + b*sinh(e + f*x)^2)^(1/2), x)","F"
72,0,-1,177,0.000000,"\text{Not used}","int(sinh(e + f*x)^2*(a + b*sinh(e + f*x)^2)^(1/2),x)","\int {\mathrm{sinh}\left(e+f\,x\right)}^2\,\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a} \,d x","Not used",1,"int(sinh(e + f*x)^2*(a + b*sinh(e + f*x)^2)^(1/2), x)","F"
73,0,-1,60,0.000000,"\text{Not used}","int((a + b*sinh(e + f*x)^2)^(1/2),x)","\int \sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a} \,d x","Not used",1,"int((a + b*sinh(e + f*x)^2)^(1/2), x)","F"
74,0,-1,199,0.000000,"\text{Not used}","int((a + b*sinh(e + f*x)^2)^(1/2)/sinh(e + f*x)^2,x)","\int \frac{\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}}{{\mathrm{sinh}\left(e+f\,x\right)}^2} \,d x","Not used",1,"int((a + b*sinh(e + f*x)^2)^(1/2)/sinh(e + f*x)^2, x)","F"
75,0,-1,276,0.000000,"\text{Not used}","int((a + b*sinh(e + f*x)^2)^(1/2)/sinh(e + f*x)^4,x)","\int \frac{\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}}{{\mathrm{sinh}\left(e+f\,x\right)}^4} \,d x","Not used",1,"int((a + b*sinh(e + f*x)^2)^(1/2)/sinh(e + f*x)^4, x)","F"
76,0,-1,177,0.000000,"\text{Not used}","int(sinh(e + f*x)^3*(a + b*sinh(e + f*x)^2)^(3/2),x)","\int {\mathrm{sinh}\left(e+f\,x\right)}^3\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2} \,d x","Not used",1,"int(sinh(e + f*x)^3*(a + b*sinh(e + f*x)^2)^(3/2), x)","F"
77,0,-1,121,0.000000,"\text{Not used}","int(sinh(e + f*x)*(a + b*sinh(e + f*x)^2)^(3/2),x)","\int \mathrm{sinh}\left(e+f\,x\right)\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2} \,d x","Not used",1,"int(sinh(e + f*x)*(a + b*sinh(e + f*x)^2)^(3/2), x)","F"
78,0,-1,127,0.000000,"\text{Not used}","int((a + b*sinh(e + f*x)^2)^(3/2)/sinh(e + f*x),x)","\int \frac{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}}{\mathrm{sinh}\left(e+f\,x\right)} \,d x","Not used",1,"int((a + b*sinh(e + f*x)^2)^(3/2)/sinh(e + f*x), x)","F"
79,0,-1,130,0.000000,"\text{Not used}","int((a + b*sinh(e + f*x)^2)^(3/2)/sinh(e + f*x)^3,x)","\int \frac{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}}{{\mathrm{sinh}\left(e+f\,x\right)}^3} \,d x","Not used",1,"int((a + b*sinh(e + f*x)^2)^(3/2)/sinh(e + f*x)^3, x)","F"
80,0,-1,135,0.000000,"\text{Not used}","int((a + b*sinh(e + f*x)^2)^(3/2)/sinh(e + f*x)^5,x)","\int \frac{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}}{{\mathrm{sinh}\left(e+f\,x\right)}^5} \,d x","Not used",1,"int((a + b*sinh(e + f*x)^2)^(3/2)/sinh(e + f*x)^5, x)","F"
81,0,-1,199,0.000000,"\text{Not used}","int((a + b*sinh(e + f*x)^2)^(3/2)/sinh(e + f*x)^7,x)","\int \frac{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}}{{\mathrm{sinh}\left(e+f\,x\right)}^7} \,d x","Not used",1,"int((a + b*sinh(e + f*x)^2)^(3/2)/sinh(e + f*x)^7, x)","F"
82,0,-1,367,0.000000,"\text{Not used}","int(sinh(e + f*x)^4*(a + b*sinh(e + f*x)^2)^(3/2),x)","\int {\mathrm{sinh}\left(e+f\,x\right)}^4\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2} \,d x","Not used",1,"int(sinh(e + f*x)^4*(a + b*sinh(e + f*x)^2)^(3/2), x)","F"
83,0,-1,236,0.000000,"\text{Not used}","int(sinh(e + f*x)^2*(a + b*sinh(e + f*x)^2)^(3/2),x)","\int {\mathrm{sinh}\left(e+f\,x\right)}^2\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2} \,d x","Not used",1,"int(sinh(e + f*x)^2*(a + b*sinh(e + f*x)^2)^(3/2), x)","F"
84,0,-1,174,0.000000,"\text{Not used}","int((a + b*sinh(e + f*x)^2)^(3/2),x)","\int {\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2} \,d x","Not used",1,"int((a + b*sinh(e + f*x)^2)^(3/2), x)","F"
85,0,-1,204,0.000000,"\text{Not used}","int((a + b*sinh(e + f*x)^2)^(3/2)/sinh(e + f*x)^2,x)","\int \frac{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}}{{\mathrm{sinh}\left(e+f\,x\right)}^2} \,d x","Not used",1,"int((a + b*sinh(e + f*x)^2)^(3/2)/sinh(e + f*x)^2, x)","F"
86,0,-1,267,0.000000,"\text{Not used}","int((a + b*sinh(e + f*x)^2)^(3/2)/sinh(e + f*x)^4,x)","\int \frac{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}}{{\mathrm{sinh}\left(e+f\,x\right)}^4} \,d x","Not used",1,"int((a + b*sinh(e + f*x)^2)^(3/2)/sinh(e + f*x)^4, x)","F"
87,0,-1,232,0.000000,"\text{Not used}","int((a + b*sinh(c + d*x)^2)^(5/2),x)","\int {\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^{5/2} \,d x","Not used",1,"int((a + b*sinh(c + d*x)^2)^(5/2), x)","F"
88,1,2,11,0.065655,"\text{Not used}","int((sinh(x)^2 + 1)^(1/2),x)","\mathrm{sinh}\left(x\right)","Not used",1,"sinh(x)","B"
89,1,5,13,0.169438,"\text{Not used}","int((- sinh(x)^2 - 1)^(1/2),x)","\mathrm{sinh}\left(x\right)\,1{}\mathrm{i}","Not used",1,"sinh(x)*1i","B"
90,0,-1,11,0.000000,"\text{Not used}","int((1 - sinh(x)^2)^(1/2),x)","\int \sqrt{1-{\mathrm{sinh}\left(x\right)}^2} \,d x","Not used",1,"int((1 - sinh(x)^2)^(1/2), x)","F"
91,0,-1,33,0.000000,"\text{Not used}","int((sinh(x)^2 - 1)^(1/2),x)","\int \sqrt{{\mathrm{sinh}\left(x\right)}^2-1} \,d x","Not used",1,"int((sinh(x)^2 - 1)^(1/2), x)","F"
92,0,-1,42,0.000000,"\text{Not used}","int((a + b*sinh(x)^2)^(1/2),x)","\int \sqrt{b\,{\mathrm{sinh}\left(x\right)}^2+a} \,d x","Not used",1,"int((a + b*sinh(x)^2)^(1/2), x)","F"
93,0,-1,29,0.000000,"\text{Not used}","int((sinh(x)^2 + 1)^(3/2),x)","\int {\left({\mathrm{sinh}\left(x\right)}^2+1\right)}^{3/2} \,d x","Not used",1,"int((sinh(x)^2 + 1)^(3/2), x)","F"
94,0,-1,33,0.000000,"\text{Not used}","int((- sinh(x)^2 - 1)^(3/2),x)","\int {\left(-{\mathrm{sinh}\left(x\right)}^2-1\right)}^{3/2} \,d x","Not used",1,"int((- sinh(x)^2 - 1)^(3/2), x)","F"
95,0,-1,45,0.000000,"\text{Not used}","int((1 - sinh(x)^2)^(3/2),x)","\int {\left(1-{\mathrm{sinh}\left(x\right)}^2\right)}^{3/2} \,d x","Not used",1,"int((1 - sinh(x)^2)^(3/2), x)","F"
96,0,-1,87,0.000000,"\text{Not used}","int((sinh(x)^2 - 1)^(3/2),x)","\int {\left({\mathrm{sinh}\left(x\right)}^2-1\right)}^{3/2} \,d x","Not used",1,"int((sinh(x)^2 - 1)^(3/2), x)","F"
97,0,-1,123,0.000000,"\text{Not used}","int((a + b*sinh(x)^2)^(3/2),x)","\int {\left(b\,{\mathrm{sinh}\left(x\right)}^2+a\right)}^{3/2} \,d x","Not used",1,"int((a + b*sinh(x)^2)^(3/2), x)","F"
98,0,-1,83,0.000000,"\text{Not used}","int(sinh(e + f*x)^3/(a + b*sinh(e + f*x)^2)^(1/2),x)","\int \frac{{\mathrm{sinh}\left(e+f\,x\right)}^3}{\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}} \,d x","Not used",1,"int(sinh(e + f*x)^3/(a + b*sinh(e + f*x)^2)^(1/2), x)","F"
99,0,-1,41,0.000000,"\text{Not used}","int(sinh(e + f*x)/(a + b*sinh(e + f*x)^2)^(1/2),x)","\int \frac{\mathrm{sinh}\left(e+f\,x\right)}{\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}} \,d x","Not used",1,"int(sinh(e + f*x)/(a + b*sinh(e + f*x)^2)^(1/2), x)","F"
100,0,-1,42,0.000000,"\text{Not used}","int(1/(sinh(e + f*x)*(a + b*sinh(e + f*x)^2)^(1/2)),x)","\int \frac{1}{\mathrm{sinh}\left(e+f\,x\right)\,\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}} \,d x","Not used",1,"int(1/(sinh(e + f*x)*(a + b*sinh(e + f*x)^2)^(1/2)), x)","F"
101,0,-1,89,0.000000,"\text{Not used}","int(1/(sinh(e + f*x)^3*(a + b*sinh(e + f*x)^2)^(1/2)),x)","\int \frac{1}{{\mathrm{sinh}\left(e+f\,x\right)}^3\,\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}} \,d x","Not used",1,"int(1/(sinh(e + f*x)^3*(a + b*sinh(e + f*x)^2)^(1/2)), x)","F"
102,0,-1,229,0.000000,"\text{Not used}","int(sinh(e + f*x)^4/(a + b*sinh(e + f*x)^2)^(1/2),x)","\int \frac{{\mathrm{sinh}\left(e+f\,x\right)}^4}{\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}} \,d x","Not used",1,"int(sinh(e + f*x)^4/(a + b*sinh(e + f*x)^2)^(1/2), x)","F"
103,0,-1,128,0.000000,"\text{Not used}","int(sinh(e + f*x)^2/(a + b*sinh(e + f*x)^2)^(1/2),x)","\int \frac{{\mathrm{sinh}\left(e+f\,x\right)}^2}{\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}} \,d x","Not used",1,"int(sinh(e + f*x)^2/(a + b*sinh(e + f*x)^2)^(1/2), x)","F"
104,0,-1,60,0.000000,"\text{Not used}","int(1/(a + b*sinh(e + f*x)^2)^(1/2),x)","\int \frac{1}{\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}} \,d x","Not used",1,"int(1/(a + b*sinh(e + f*x)^2)^(1/2), x)","F"
105,0,-1,134,0.000000,"\text{Not used}","int(1/(sinh(e + f*x)^2*(a + b*sinh(e + f*x)^2)^(1/2)),x)","\int \frac{1}{{\mathrm{sinh}\left(e+f\,x\right)}^2\,\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}} \,d x","Not used",1,"int(1/(sinh(e + f*x)^2*(a + b*sinh(e + f*x)^2)^(1/2)), x)","F"
106,0,-1,267,0.000000,"\text{Not used}","int(1/(sinh(e + f*x)^4*(a + b*sinh(e + f*x)^2)^(1/2)),x)","\int \frac{1}{{\mathrm{sinh}\left(e+f\,x\right)}^4\,\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}} \,d x","Not used",1,"int(1/(sinh(e + f*x)^4*(a + b*sinh(e + f*x)^2)^(1/2)), x)","F"
107,0,-1,83,0.000000,"\text{Not used}","int(sinh(e + f*x)^3/(a + b*sinh(e + f*x)^2)^(3/2),x)","\int \frac{{\mathrm{sinh}\left(e+f\,x\right)}^3}{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}} \,d x","Not used",1,"int(sinh(e + f*x)^3/(a + b*sinh(e + f*x)^2)^(3/2), x)","F"
108,1,191,36,0.921289,"\text{Not used}","int(sinh(e + f*x)/(a + b*sinh(e + f*x)^2)^(3/2),x)","-\frac{{\mathrm{e}}^{e+f\,x}\,\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}\,\left(\frac{2\,{\mathrm{e}}^{e+f\,x}\,\mathrm{sinh}\left(e+f\,x\right)\,\left(b\,\left(2\,a-b\right)-b\,\left(4\,a-2\,b\right)\right)}{f\,\left(a\,b^2-a^2\,b\right)}+\frac{2\,b^2\,\mathrm{cosh}\left(e+f\,x\right)\,{\mathrm{e}}^{e+f\,x}}{f\,\left(a\,b^2-a^2\,b\right)}+\frac{b\,{\mathrm{e}}^{2\,e+2\,f\,x}\,\left(4\,a-2\,b\right)}{f\,\left(a\,b^2-a^2\,b\right)}\right)}{4\,a\,{\mathrm{e}}^{2\,e+2\,f\,x}-2\,b\,{\mathrm{e}}^{2\,e+2\,f\,x}+2\,b\,{\mathrm{e}}^{2\,e+2\,f\,x}\,\mathrm{cosh}\left(2\,e+2\,f\,x\right)}","Not used",1,"-(exp(e + f*x)*(a + b*sinh(e + f*x)^2)^(1/2)*((2*exp(e + f*x)*sinh(e + f*x)*(b*(2*a - b) - b*(4*a - 2*b)))/(f*(a*b^2 - a^2*b)) + (2*b^2*cosh(e + f*x)*exp(e + f*x))/(f*(a*b^2 - a^2*b)) + (b*exp(2*e + 2*f*x)*(4*a - 2*b))/(f*(a*b^2 - a^2*b))))/(4*a*exp(2*e + 2*f*x) - 2*b*exp(2*e + 2*f*x) + 2*b*exp(2*e + 2*f*x)*cosh(2*e + 2*f*x))","B"
109,0,-1,84,0.000000,"\text{Not used}","int(1/(sinh(e + f*x)*(a + b*sinh(e + f*x)^2)^(3/2)),x)","\int \frac{1}{\mathrm{sinh}\left(e+f\,x\right)\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}} \,d x","Not used",1,"int(1/(sinh(e + f*x)*(a + b*sinh(e + f*x)^2)^(3/2)), x)","F"
110,0,-1,139,0.000000,"\text{Not used}","int(1/(sinh(e + f*x)^3*(a + b*sinh(e + f*x)^2)^(3/2)),x)","\int \frac{1}{{\mathrm{sinh}\left(e+f\,x\right)}^3\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}} \,d x","Not used",1,"int(1/(sinh(e + f*x)^3*(a + b*sinh(e + f*x)^2)^(3/2)), x)","F"
111,0,-1,341,0.000000,"\text{Not used}","int(sinh(e + f*x)^6/(a + b*sinh(e + f*x)^2)^(3/2),x)","\int \frac{{\mathrm{sinh}\left(e+f\,x\right)}^6}{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}} \,d x","Not used",1,"int(sinh(e + f*x)^6/(a + b*sinh(e + f*x)^2)^(3/2), x)","F"
112,0,-1,256,0.000000,"\text{Not used}","int(sinh(e + f*x)^4/(a + b*sinh(e + f*x)^2)^(3/2),x)","\int \frac{{\mathrm{sinh}\left(e+f\,x\right)}^4}{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}} \,d x","Not used",1,"int(sinh(e + f*x)^4/(a + b*sinh(e + f*x)^2)^(3/2), x)","F"
113,0,-1,173,0.000000,"\text{Not used}","int(sinh(e + f*x)^2/(a + b*sinh(e + f*x)^2)^(3/2),x)","\int \frac{{\mathrm{sinh}\left(e+f\,x\right)}^2}{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}} \,d x","Not used",1,"int(sinh(e + f*x)^2/(a + b*sinh(e + f*x)^2)^(3/2), x)","F"
114,0,-1,115,0.000000,"\text{Not used}","int(1/(a + b*sinh(e + f*x)^2)^(3/2),x)","\int \frac{1}{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}} \,d x","Not used",1,"int(1/(a + b*sinh(e + f*x)^2)^(3/2), x)","F"
115,0,-1,290,0.000000,"\text{Not used}","int(1/(sinh(e + f*x)^2*(a + b*sinh(e + f*x)^2)^(3/2)),x)","\int \frac{1}{{\mathrm{sinh}\left(e+f\,x\right)}^2\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}} \,d x","Not used",1,"int(1/(sinh(e + f*x)^2*(a + b*sinh(e + f*x)^2)^(3/2)), x)","F"
116,0,-1,143,0.000000,"\text{Not used}","int(sinh(e + f*x)^5/(a + b*sinh(e + f*x)^2)^(5/2),x)","\int \frac{{\mathrm{sinh}\left(e+f\,x\right)}^5}{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{5/2}} \,d x","Not used",1,"int(sinh(e + f*x)^5/(a + b*sinh(e + f*x)^2)^(5/2), x)","F"
117,1,148,87,1.617711,"\text{Not used}","int(sinh(e + f*x)^3/(a + b*sinh(e + f*x)^2)^(5/2),x)","\frac{2\,{\mathrm{e}}^{e+f\,x}\,\left({\mathrm{e}}^{2\,e+2\,f\,x}+1\right)\,\sqrt{a+b\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}\,\left(a-3\,b-10\,a\,{\mathrm{e}}^{2\,e+2\,f\,x}+a\,{\mathrm{e}}^{4\,e+4\,f\,x}+6\,b\,{\mathrm{e}}^{2\,e+2\,f\,x}-3\,b\,{\mathrm{e}}^{4\,e+4\,f\,x}\right)}{3\,f\,{\left(a-b\right)}^2\,{\left(b+4\,a\,{\mathrm{e}}^{2\,e+2\,f\,x}-2\,b\,{\mathrm{e}}^{2\,e+2\,f\,x}+b\,{\mathrm{e}}^{4\,e+4\,f\,x}\right)}^2}","Not used",1,"(2*exp(e + f*x)*(exp(2*e + 2*f*x) + 1)*(a + b*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2)*(a - 3*b - 10*a*exp(2*e + 2*f*x) + a*exp(4*e + 4*f*x) + 6*b*exp(2*e + 2*f*x) - 3*b*exp(4*e + 4*f*x)))/(3*f*(a - b)^2*(b + 4*a*exp(2*e + 2*f*x) - 2*b*exp(2*e + 2*f*x) + b*exp(4*e + 4*f*x))^2)","B"
118,1,133,79,1.285048,"\text{Not used}","int(sinh(e + f*x)/(a + b*sinh(e + f*x)^2)^(5/2),x)","\frac{4\,{\mathrm{e}}^{e+f\,x}\,\left({\mathrm{e}}^{2\,e+2\,f\,x}+1\right)\,\sqrt{a+b\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}\,\left(b+6\,a\,{\mathrm{e}}^{2\,e+2\,f\,x}-4\,b\,{\mathrm{e}}^{2\,e+2\,f\,x}+b\,{\mathrm{e}}^{4\,e+4\,f\,x}\right)}{3\,f\,{\left(a-b\right)}^2\,{\left(b+4\,a\,{\mathrm{e}}^{2\,e+2\,f\,x}-2\,b\,{\mathrm{e}}^{2\,e+2\,f\,x}+b\,{\mathrm{e}}^{4\,e+4\,f\,x}\right)}^2}","Not used",1,"(4*exp(e + f*x)*(exp(2*e + 2*f*x) + 1)*(a + b*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2)*(b + 6*a*exp(2*e + 2*f*x) - 4*b*exp(2*e + 2*f*x) + b*exp(4*e + 4*f*x)))/(3*f*(a - b)^2*(b + 4*a*exp(2*e + 2*f*x) - 2*b*exp(2*e + 2*f*x) + b*exp(4*e + 4*f*x))^2)","B"
119,0,-1,136,0.000000,"\text{Not used}","int(1/(sinh(e + f*x)*(a + b*sinh(e + f*x)^2)^(5/2)),x)","\int \frac{1}{\mathrm{sinh}\left(e+f\,x\right)\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{5/2}} \,d x","Not used",1,"int(1/(sinh(e + f*x)*(a + b*sinh(e + f*x)^2)^(5/2)), x)","F"
120,0,-1,344,0.000000,"\text{Not used}","int(sinh(e + f*x)^6/(a + b*sinh(e + f*x)^2)^(5/2),x)","\int \frac{{\mathrm{sinh}\left(e+f\,x\right)}^6}{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{5/2}} \,d x","Not used",1,"int(sinh(e + f*x)^6/(a + b*sinh(e + f*x)^2)^(5/2), x)","F"
121,0,-1,244,0.000000,"\text{Not used}","int(sinh(e + f*x)^4/(a + b*sinh(e + f*x)^2)^(5/2),x)","\int \frac{{\mathrm{sinh}\left(e+f\,x\right)}^4}{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{5/2}} \,d x","Not used",1,"int(sinh(e + f*x)^4/(a + b*sinh(e + f*x)^2)^(5/2), x)","F"
122,0,-1,241,0.000000,"\text{Not used}","int(sinh(e + f*x)^2/(a + b*sinh(e + f*x)^2)^(5/2),x)","\int \frac{{\mathrm{sinh}\left(e+f\,x\right)}^2}{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{5/2}} \,d x","Not used",1,"int(sinh(e + f*x)^2/(a + b*sinh(e + f*x)^2)^(5/2), x)","F"
123,0,-1,251,0.000000,"\text{Not used}","int(1/(a + b*sinh(e + f*x)^2)^(5/2),x)","\int \frac{1}{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{5/2}} \,d x","Not used",1,"int(1/(a + b*sinh(e + f*x)^2)^(5/2), x)","F"
124,0,-1,385,0.000000,"\text{Not used}","int(1/(sinh(e + f*x)^2*(a + b*sinh(e + f*x)^2)^(5/2)),x)","\int \frac{1}{{\mathrm{sinh}\left(e+f\,x\right)}^2\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{5/2}} \,d x","Not used",1,"int(1/(sinh(e + f*x)^2*(a + b*sinh(e + f*x)^2)^(5/2)), x)","F"
125,0,-1,14,0.000000,"\text{Not used}","int(1/(sinh(x)^2 + 1)^(1/2),x)","\int \frac{1}{\sqrt{{\mathrm{sinh}\left(x\right)}^2+1}} \,d x","Not used",1,"int(1/(sinh(x)^2 + 1)^(1/2), x)","F"
126,0,-1,11,0.000000,"\text{Not used}","int(1/(1 - sinh(x)^2)^(1/2),x)","\int \frac{1}{\sqrt{1-{\mathrm{sinh}\left(x\right)}^2}} \,d x","Not used",1,"int(1/(1 - sinh(x)^2)^(1/2), x)","F"
127,0,-1,33,0.000000,"\text{Not used}","int(1/(sinh(x)^2 - 1)^(1/2),x)","\int \frac{1}{\sqrt{{\mathrm{sinh}\left(x\right)}^2-1}} \,d x","Not used",1,"int(1/(sinh(x)^2 - 1)^(1/2), x)","F"
128,0,-1,16,0.000000,"\text{Not used}","int(1/(- sinh(x)^2 - 1)^(1/2),x)","\int \frac{1}{\sqrt{-{\mathrm{sinh}\left(x\right)}^2-1}} \,d x","Not used",1,"int(1/(- sinh(x)^2 - 1)^(1/2), x)","F"
129,0,-1,42,0.000000,"\text{Not used}","int(1/(a + b*sinh(x)^2)^(1/2),x)","\int \frac{1}{\sqrt{b\,{\mathrm{sinh}\left(x\right)}^2+a}} \,d x","Not used",1,"int(1/(a + b*sinh(x)^2)^(1/2), x)","F"
130,0,-1,128,0.000000,"\text{Not used}","int((d*sinh(e + f*x))^m*(a + b*sinh(e + f*x)^2)^p,x)","\int {\left(d\,\mathrm{sinh}\left(e+f\,x\right)\right)}^m\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^p \,d x","Not used",1,"int((d*sinh(e + f*x))^m*(a + b*sinh(e + f*x)^2)^p, x)","F"
131,0,-1,226,0.000000,"\text{Not used}","int(sinh(e + f*x)^5*(a + b*sinh(e + f*x)^2)^p,x)","\int {\mathrm{sinh}\left(e+f\,x\right)}^5\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^p \,d x","Not used",1,"int(sinh(e + f*x)^5*(a + b*sinh(e + f*x)^2)^p, x)","F"
132,0,-1,137,0.000000,"\text{Not used}","int(sinh(e + f*x)^3*(a + b*sinh(e + f*x)^2)^p,x)","\int {\mathrm{sinh}\left(e+f\,x\right)}^3\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^p \,d x","Not used",1,"int(sinh(e + f*x)^3*(a + b*sinh(e + f*x)^2)^p, x)","F"
133,0,-1,78,0.000000,"\text{Not used}","int(sinh(e + f*x)*(a + b*sinh(e + f*x)^2)^p,x)","\int \mathrm{sinh}\left(e+f\,x\right)\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^p \,d x","Not used",1,"int(sinh(e + f*x)*(a + b*sinh(e + f*x)^2)^p, x)","F"
134,0,-1,88,0.000000,"\text{Not used}","int((a + b*sinh(e + f*x)^2)^p/sinh(e + f*x),x)","\int \frac{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^p}{\mathrm{sinh}\left(e+f\,x\right)} \,d x","Not used",1,"int((a + b*sinh(e + f*x)^2)^p/sinh(e + f*x), x)","F"
135,0,-1,87,0.000000,"\text{Not used}","int((a + b*sinh(e + f*x)^2)^p/sinh(e + f*x)^3,x)","\int \frac{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^p}{{\mathrm{sinh}\left(e+f\,x\right)}^3} \,d x","Not used",1,"int((a + b*sinh(e + f*x)^2)^p/sinh(e + f*x)^3, x)","F"
136,0,-1,88,0.000000,"\text{Not used}","int((a + b*sinh(e + f*x)^2)^p/sinh(e + f*x)^5,x)","\int \frac{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^p}{{\mathrm{sinh}\left(e+f\,x\right)}^5} \,d x","Not used",1,"int((a + b*sinh(e + f*x)^2)^p/sinh(e + f*x)^5, x)","F"
137,0,-1,103,0.000000,"\text{Not used}","int(sinh(e + f*x)^4*(a + b*sinh(e + f*x)^2)^p,x)","\int {\mathrm{sinh}\left(e+f\,x\right)}^4\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^p \,d x","Not used",1,"int(sinh(e + f*x)^4*(a + b*sinh(e + f*x)^2)^p, x)","F"
138,0,-1,101,0.000000,"\text{Not used}","int(sinh(e + f*x)^2*(a + b*sinh(e + f*x)^2)^p,x)","\int {\mathrm{sinh}\left(e+f\,x\right)}^2\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^p \,d x","Not used",1,"int(sinh(e + f*x)^2*(a + b*sinh(e + f*x)^2)^p, x)","F"
139,0,-1,99,0.000000,"\text{Not used}","int((a + b*sinh(e + f*x)^2)^p/sinh(e + f*x)^2,x)","\int \frac{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^p}{{\mathrm{sinh}\left(e+f\,x\right)}^2} \,d x","Not used",1,"int((a + b*sinh(e + f*x)^2)^p/sinh(e + f*x)^2, x)","F"
140,0,-1,103,0.000000,"\text{Not used}","int((a + b*sinh(e + f*x)^2)^p/sinh(e + f*x)^4,x)","\int \frac{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^p}{{\mathrm{sinh}\left(e+f\,x\right)}^4} \,d x","Not used",1,"int((a + b*sinh(e + f*x)^2)^p/sinh(e + f*x)^4, x)","F"
141,1,85,106,0.259882,"\text{Not used}","int(sinh(c + d*x)^4*(a + b*sinh(c + d*x)^3),x)","\frac{280\,b\,{\mathrm{cosh}\left(c+d\,x\right)}^3-280\,b\,\mathrm{cosh}\left(c+d\,x\right)-168\,b\,{\mathrm{cosh}\left(c+d\,x\right)}^5+40\,b\,{\mathrm{cosh}\left(c+d\,x\right)}^7-175\,a\,\mathrm{cosh}\left(c+d\,x\right)\,\mathrm{sinh}\left(c+d\,x\right)+105\,a\,d\,x+70\,a\,{\mathrm{cosh}\left(c+d\,x\right)}^3\,\mathrm{sinh}\left(c+d\,x\right)}{280\,d}","Not used",1,"(280*b*cosh(c + d*x)^3 - 280*b*cosh(c + d*x) - 168*b*cosh(c + d*x)^5 + 40*b*cosh(c + d*x)^7 - 175*a*cosh(c + d*x)*sinh(c + d*x) + 105*a*d*x + 70*a*cosh(c + d*x)^3*sinh(c + d*x))/(280*d)","B"
142,1,67,99,0.453569,"\text{Not used}","int(sinh(c + d*x)^3*(a + b*sinh(c + d*x)^3),x)","\frac{\frac{a\,\mathrm{cosh}\left(3\,c+3\,d\,x\right)}{12}-\frac{3\,a\,\mathrm{cosh}\left(c+d\,x\right)}{4}+\frac{15\,b\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)}{64}-\frac{3\,b\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)}{64}+\frac{b\,\mathrm{sinh}\left(6\,c+6\,d\,x\right)}{192}}{d}-\frac{5\,b\,x}{16}","Not used",1,"((a*cosh(3*c + 3*d*x))/12 - (3*a*cosh(c + d*x))/4 + (15*b*sinh(2*c + 2*d*x))/64 - (3*b*sinh(4*c + 4*d*x))/64 + (b*sinh(6*c + 6*d*x))/192)/d - (5*b*x)/16","B"
143,1,55,70,0.115942,"\text{Not used}","int(sinh(c + d*x)^2*(a + b*sinh(c + d*x)^3),x)","\frac{b\,\mathrm{cosh}\left(c+d\,x\right)-\frac{2\,b\,{\mathrm{cosh}\left(c+d\,x\right)}^3}{3}+\frac{b\,{\mathrm{cosh}\left(c+d\,x\right)}^5}{5}+\frac{a\,\mathrm{cosh}\left(c+d\,x\right)\,\mathrm{sinh}\left(c+d\,x\right)}{2}}{d}-\frac{a\,x}{2}","Not used",1,"(b*cosh(c + d*x) - (2*b*cosh(c + d*x)^3)/3 + (b*cosh(c + d*x)^5)/5 + (a*cosh(c + d*x)*sinh(c + d*x))/2)/d - (a*x)/2","B"
144,1,42,60,0.197924,"\text{Not used}","int(sinh(c + d*x)*(a + b*sinh(c + d*x)^3),x)","\frac{3\,b\,x}{8}+\frac{a\,\mathrm{cosh}\left(c+d\,x\right)-\frac{b\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)}{4}+\frac{b\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)}{32}}{d}","Not used",1,"(3*b*x)/8 + (a*cosh(c + d*x) - (b*sinh(2*c + 2*d*x))/4 + (b*sinh(4*c + 4*d*x))/32)/d","B"
145,1,29,32,0.624874,"\text{Not used}","int(a + b*sinh(c + d*x)^3,x)","a\,x-\frac{b\,\mathrm{cosh}\left(c+d\,x\right)-\frac{b\,{\mathrm{cosh}\left(c+d\,x\right)}^3}{3}}{d}","Not used",1,"a*x - (b*cosh(c + d*x) - (b*cosh(c + d*x)^3)/3)/d","B"
146,1,73,40,0.690727,"\text{Not used}","int((a + b*sinh(c + d*x)^3)/sinh(c + d*x),x)","\frac{b\,{\mathrm{e}}^{2\,c+2\,d\,x}}{8\,d}-\frac{b\,{\mathrm{e}}^{-2\,c-2\,d\,x}}{8\,d}-\frac{b\,x}{2}-\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}}","Not used",1,"(b*exp(2*c + 2*d*x))/(8*d) - (b*exp(- 2*c - 2*d*x))/(8*d) - (b*x)/2 - (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)","B"
147,1,47,24,0.094097,"\text{Not used}","int((a + b*sinh(c + d*x)^3)/sinh(c + d*x)^2,x)","\frac{b\,{\mathrm{e}}^{-c-d\,x}}{2\,d}-\frac{2\,a}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}+\frac{b\,{\mathrm{e}}^{c+d\,x}}{2\,d}","Not used",1,"(b*exp(- c - d*x))/(2*d) - (2*a)/(d*(exp(2*c + 2*d*x) - 1)) + (b*exp(c + d*x))/(2*d)","B"
148,1,102,39,0.105415,"\text{Not used}","int((a + b*sinh(c + d*x)^3)/sinh(c + d*x)^3,x)","b\,x+\frac{\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{a\,{\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,"b*x + (atan((a*exp(d*x)*exp(c)*(-d^2)^(1/2))/(d*(a^2)^(1/2)))*(a^2)^(1/2))/(-d^2)^(1/2) - (a*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"
149,1,110,41,0.685979,"\text{Not used}","int((a + b*sinh(c + d*x)^3)/sinh(c + d*x)^4,x)","-\frac{4\,a}{d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\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{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}}","Not used",1,"- (4*a)/(d*(exp(4*c + 4*d*x) - 2*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)) - (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)","B"
150,1,149,192,0.932157,"\text{Not used}","int(sinh(c + d*x)^3*(a + b*sinh(c + d*x)^3)^2,x)","\frac{\frac{a^2\,{\mathrm{cosh}\left(c+d\,x\right)}^3}{3}-a^2\,\mathrm{cosh}\left(c+d\,x\right)+\frac{\mathrm{sinh}\left(c+d\,x\right)\,a\,b\,{\mathrm{cosh}\left(c+d\,x\right)}^5}{3}-\frac{13\,\mathrm{sinh}\left(c+d\,x\right)\,a\,b\,{\mathrm{cosh}\left(c+d\,x\right)}^3}{12}+\frac{11\,\mathrm{sinh}\left(c+d\,x\right)\,a\,b\,\mathrm{cosh}\left(c+d\,x\right)}{8}-\frac{5\,d\,x\,a\,b}{8}+\frac{b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^9}{9}-\frac{4\,b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^7}{7}+\frac{6\,b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^5}{5}-\frac{4\,b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^3}{3}+b^2\,\mathrm{cosh}\left(c+d\,x\right)}{d}","Not used",1,"(b^2*cosh(c + d*x) - a^2*cosh(c + d*x) + (a^2*cosh(c + d*x)^3)/3 - (4*b^2*cosh(c + d*x)^3)/3 + (6*b^2*cosh(c + d*x)^5)/5 - (4*b^2*cosh(c + d*x)^7)/7 + (b^2*cosh(c + d*x)^9)/9 - (13*a*b*cosh(c + d*x)^3*sinh(c + d*x))/12 + (a*b*cosh(c + d*x)^5*sinh(c + d*x))/3 + (11*a*b*cosh(c + d*x)*sinh(c + d*x))/8 - (5*a*b*d*x)/8)/d","B"
151,1,126,180,1.626832,"\text{Not used}","int(sinh(c + d*x)^2*(a + b*sinh(c + d*x)^3)^2,x)","\frac{480\,a^2\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)-420\,b^2\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)+105\,b^2\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)-20\,b^2\,\mathrm{sinh}\left(6\,c+6\,d\,x\right)+\frac{15\,b^2\,\mathrm{sinh}\left(8\,c+8\,d\,x\right)}{8}+2400\,a\,b\,\mathrm{cosh}\left(c+d\,x\right)-400\,a\,b\,\mathrm{cosh}\left(3\,c+3\,d\,x\right)+48\,a\,b\,\mathrm{cosh}\left(5\,c+5\,d\,x\right)-960\,a^2\,d\,x+525\,b^2\,d\,x}{1920\,d}","Not used",1,"(480*a^2*sinh(2*c + 2*d*x) - 420*b^2*sinh(2*c + 2*d*x) + 105*b^2*sinh(4*c + 4*d*x) - 20*b^2*sinh(6*c + 6*d*x) + (15*b^2*sinh(8*c + 8*d*x))/8 + 2400*a*b*cosh(c + d*x) - 400*a*b*cosh(3*c + 3*d*x) + 48*a*b*cosh(5*c + 5*d*x) - 960*a^2*d*x + 525*b^2*d*x)/(1920*d)","B"
152,1,104,130,0.246700,"\text{Not used}","int(sinh(c + d*x)*(a + b*sinh(c + d*x)^3)^2,x)","\frac{a^2\,\mathrm{cosh}\left(c+d\,x\right)+\frac{\mathrm{sinh}\left(c+d\,x\right)\,a\,b\,{\mathrm{cosh}\left(c+d\,x\right)}^3}{2}-\frac{5\,\mathrm{sinh}\left(c+d\,x\right)\,a\,b\,\mathrm{cosh}\left(c+d\,x\right)}{4}+\frac{3\,d\,x\,a\,b}{4}+\frac{b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^7}{7}-\frac{3\,b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^5}{5}+b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^3-b^2\,\mathrm{cosh}\left(c+d\,x\right)}{d}","Not used",1,"(a^2*cosh(c + d*x) - b^2*cosh(c + d*x) + b^2*cosh(c + d*x)^3 - (3*b^2*cosh(c + d*x)^5)/5 + (b^2*cosh(c + d*x)^7)/7 + (a*b*cosh(c + d*x)^3*sinh(c + d*x))/2 - (5*a*b*cosh(c + d*x)*sinh(c + d*x))/4 + (3*a*b*d*x)/4)/d","B"
153,1,85,114,0.461319,"\text{Not used}","int((a + b*sinh(c + d*x)^3)^2,x)","\frac{\frac{45\,b^2\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)}{4}-\frac{9\,b^2\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)}{4}+\frac{b^2\,\mathrm{sinh}\left(6\,c+6\,d\,x\right)}{4}-72\,a\,b\,\mathrm{cosh}\left(c+d\,x\right)+8\,a\,b\,\mathrm{cosh}\left(3\,c+3\,d\,x\right)+48\,a^2\,d\,x-15\,b^2\,d\,x}{48\,d}","Not used",1,"((45*b^2*sinh(2*c + 2*d*x))/4 - (9*b^2*sinh(4*c + 4*d*x))/4 + (b^2*sinh(6*c + 6*d*x))/4 - 72*a*b*cosh(c + d*x) + 8*a*b*cosh(3*c + 3*d*x) + 48*a^2*d*x - 15*b^2*d*x)/(48*d)","B"
154,1,177,88,0.214334,"\text{Not used}","int((a + b*sinh(c + d*x)^3)^2/sinh(c + d*x),x)","\frac{5\,b^2\,{\mathrm{e}}^{c+d\,x}}{16\,d}-\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}}-a\,b\,x+\frac{5\,b^2\,{\mathrm{e}}^{-c-d\,x}}{16\,d}-\frac{5\,b^2\,{\mathrm{e}}^{-3\,c-3\,d\,x}}{96\,d}-\frac{5\,b^2\,{\mathrm{e}}^{3\,c+3\,d\,x}}{96\,d}+\frac{b^2\,{\mathrm{e}}^{-5\,c-5\,d\,x}}{160\,d}+\frac{b^2\,{\mathrm{e}}^{5\,c+5\,d\,x}}{160\,d}-\frac{a\,b\,{\mathrm{e}}^{-2\,c-2\,d\,x}}{4\,d}+\frac{a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}}{4\,d}","Not used",1,"(5*b^2*exp(c + d*x))/(16*d) - (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) - a*b*x + (5*b^2*exp(- c - d*x))/(16*d) - (5*b^2*exp(- 3*c - 3*d*x))/(96*d) - (5*b^2*exp(3*c + 3*d*x))/(96*d) + (b^2*exp(- 5*c - 5*d*x))/(160*d) + (b^2*exp(5*c + 5*d*x))/(160*d) - (a*b*exp(- 2*c - 2*d*x))/(4*d) + (a*b*exp(2*c + 2*d*x))/(4*d)","B"
155,1,123,82,0.737993,"\text{Not used}","int((a + b*sinh(c + d*x)^3)^2/sinh(c + d*x)^2,x)","\frac{3\,b^2\,x}{8}-\frac{2\,a^2}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}+\frac{b^2\,{\mathrm{e}}^{-2\,c-2\,d\,x}}{8\,d}-\frac{b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}}{8\,d}-\frac{b^2\,{\mathrm{e}}^{-4\,c-4\,d\,x}}{64\,d}+\frac{b^2\,{\mathrm{e}}^{4\,c+4\,d\,x}}{64\,d}+\frac{a\,b\,{\mathrm{e}}^{c+d\,x}}{d}+\frac{a\,b\,{\mathrm{e}}^{-c-d\,x}}{d}","Not used",1,"(3*b^2*x)/8 - (2*a^2)/(d*(exp(2*c + 2*d*x) - 1)) + (b^2*exp(- 2*c - 2*d*x))/(8*d) - (b^2*exp(2*c + 2*d*x))/(8*d) - (b^2*exp(- 4*c - 4*d*x))/(64*d) + (b^2*exp(4*c + 4*d*x))/(64*d) + (a*b*exp(c + d*x))/d + (a*b*exp(- c - d*x))/d","B"
156,1,175,77,0.705162,"\text{Not used}","int((a + b*sinh(c + d*x)^3)^2/sinh(c + d*x)^3,x)","\frac{\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}}-\frac{3\,b^2\,{\mathrm{e}}^{c+d\,x}}{8\,d}+2\,a\,b\,x-\frac{3\,b^2\,{\mathrm{e}}^{-c-d\,x}}{8\,d}+\frac{b^2\,{\mathrm{e}}^{-3\,c-3\,d\,x}}{24\,d}+\frac{b^2\,{\mathrm{e}}^{3\,c+3\,d\,x}}{24\,d}-\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)}","Not used",1,"(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) - (3*b^2*exp(c + d*x))/(8*d) + 2*a*b*x - (3*b^2*exp(- c - d*x))/(8*d) + (b^2*exp(- 3*c - 3*d*x))/(24*d) + (b^2*exp(3*c + 3*d*x))/(24*d) - (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))","B"
157,1,163,76,0.132800,"\text{Not used}","int((a + b*sinh(c + d*x)^3)^2/sinh(c + d*x)^4,x)","\frac{b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}}{8\,d}-\frac{4\,a^2}{d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{4\,\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{b^2\,{\mathrm{e}}^{-2\,c-2\,d\,x}}{8\,d}-\frac{b^2\,x}{2}-\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)}","Not used",1,"(b^2*exp(2*c + 2*d*x))/(8*d) - (4*a^2)/(d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) - (4*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) - (b^2*exp(- 2*c - 2*d*x))/(8*d) - (b^2*x)/2 - (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))","B"
158,1,355,90,0.143187,"\text{Not used}","int((a + b*sinh(c + d*x)^3)^2/sinh(c + d*x)^5,x)","\frac{\frac{3\,a^2\,{\mathrm{e}}^{c+d\,x}}{4\,d}-\frac{2\,a\,b}{d}}{{\mathrm{e}}^{2\,c+2\,d\,x}-1}-\frac{\frac{4\,a^2\,{\mathrm{e}}^{3\,c+3\,d\,x}}{d}-\frac{a\,b}{d}+\frac{3\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}}{d}-\frac{3\,a\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}}{d}+\frac{a\,b\,{\mathrm{e}}^{6\,c+6\,d\,x}}{d}}{6\,{\mathrm{e}}^{4\,c+4\,d\,x}-4\,{\mathrm{e}}^{2\,c+2\,d\,x}-4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1}-\frac{\frac{2\,a^2\,{\mathrm{e}}^{c+d\,x}}{d}+\frac{a\,b}{d}-\frac{2\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}}{d}+\frac{a\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}}{d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}-3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}-1}+\frac{b^2\,{\mathrm{e}}^{c+d\,x}}{2\,d}-\frac{3\,\mathrm{atan}\left(\frac{a^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\sqrt{-d^2}}{d\,\sqrt{a^4}}\right)\,\sqrt{a^4}}{4\,\sqrt{-d^2}}+\frac{b^2\,{\mathrm{e}}^{-c-d\,x}}{2\,d}-\frac{a^2\,{\mathrm{e}}^{c+d\,x}}{2\,d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"((3*a^2*exp(c + d*x))/(4*d) - (2*a*b)/d)/(exp(2*c + 2*d*x) - 1) - ((4*a^2*exp(3*c + 3*d*x))/d - (a*b)/d + (3*a*b*exp(2*c + 2*d*x))/d - (3*a*b*exp(4*c + 4*d*x))/d + (a*b*exp(6*c + 6*d*x))/d)/(6*exp(4*c + 4*d*x) - 4*exp(2*c + 2*d*x) - 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1) - ((2*a^2*exp(c + d*x))/d + (a*b)/d - (2*a*b*exp(2*c + 2*d*x))/d + (a*b*exp(4*c + 4*d*x))/d)/(3*exp(2*c + 2*d*x) - 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) - 1) + (b^2*exp(c + d*x))/(2*d) - (3*atan((a^2*exp(d*x)*exp(c)*(-d^2)^(1/2))/(d*(a^4)^(1/2)))*(a^4)^(1/2))/(4*(-d^2)^(1/2)) + (b^2*exp(- c - d*x))/(2*d) - (a^2*exp(c + d*x))/(2*d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1))","B"
159,1,351,88,0.651544,"\text{Not used}","int((a + b*sinh(c + d*x)^3)^2/sinh(c + d*x)^6,x)","b^2\,x-\frac{\frac{32\,a^2\,{\mathrm{e}}^{4\,c+4\,d\,x}}{5\,d}-\frac{8\,a\,b\,{\mathrm{e}}^{c+d\,x}}{5\,d}+\frac{24\,a\,b\,{\mathrm{e}}^{3\,c+3\,d\,x}}{5\,d}-\frac{24\,a\,b\,{\mathrm{e}}^{5\,c+5\,d\,x}}{5\,d}+\frac{8\,a\,b\,{\mathrm{e}}^{7\,c+7\,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{2\,\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{64\,a^2}{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{16\,a^2}{5\,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{2\,a\,b\,{\mathrm{e}}^{c+d\,x}}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{12\,a\,b\,{\mathrm{e}}^{c+d\,x}}{5\,d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"b^2*x - ((32*a^2*exp(4*c + 4*d*x))/(5*d) - (8*a*b*exp(c + d*x))/(5*d) + (24*a*b*exp(3*c + 3*d*x))/(5*d) - (24*a*b*exp(5*c + 5*d*x))/(5*d) + (8*a*b*exp(7*c + 7*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*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) - (64*a^2)/(15*d*(3*exp(2*c + 2*d*x) - 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) - 1)) - (16*a^2)/(5*d*(6*exp(4*c + 4*d*x) - 4*exp(2*c + 2*d*x) - 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1)) - (2*a*b*exp(c + d*x))/(d*(exp(2*c + 2*d*x) - 1)) - (12*a*b*exp(c + d*x))/(5*d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1))","B"
160,1,434,133,0.157338,"\text{Not used}","int((a + b*sinh(c + d*x)^3)^2/sinh(c + d*x)^7,x)","\frac{\frac{5\,a^2\,{\mathrm{e}}^{c+d\,x}}{12\,d}-\frac{8\,a\,b}{d}}{{\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1}-\frac{\frac{a^2\,{\mathrm{e}}^{c+d\,x}}{3\,d}+\frac{16\,a\,b}{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{\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(5\,a^2\,\sqrt{-d^2}-16\,b^2\,\sqrt{-d^2}\right)}{d\,\sqrt{25\,a^4-160\,a^2\,b^2+256\,b^4}}\right)\,\sqrt{25\,a^4-160\,a^2\,b^2+256\,b^4}}{8\,\sqrt{-d^2}}-\frac{18\,a^2\,{\mathrm{e}}^{c+d\,x}}{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{80\,a^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{32\,a^2\,{\mathrm{e}}^{c+d\,x}}{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{5\,a^2\,{\mathrm{e}}^{c+d\,x}}{8\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}","Not used",1,"((5*a^2*exp(c + d*x))/(12*d) - (8*a*b)/d)/(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1) - ((a^2*exp(c + d*x))/(3*d) + (16*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) + (atan((exp(d*x)*exp(c)*(5*a^2*(-d^2)^(1/2) - 16*b^2*(-d^2)^(1/2)))/(d*(25*a^4 + 256*b^4 - 160*a^2*b^2)^(1/2)))*(25*a^4 + 256*b^4 - 160*a^2*b^2)^(1/2))/(8*(-d^2)^(1/2)) - (18*a^2*exp(c + d*x))/(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)) - (80*a^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)) - (32*a^2*exp(c + d*x))/(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)) - (5*a^2*exp(c + d*x))/(8*d*(exp(2*c + 2*d*x) - 1))","B"
161,1,231,291,1.086177,"\text{Not used}","int(sinh(c + d*x)^2*(a + b*sinh(c + d*x)^3)^3,x)","\frac{\frac{\mathrm{sinh}\left(c+d\,x\right)\,a^3\,\mathrm{cosh}\left(c+d\,x\right)}{2}-\frac{d\,x\,a^3}{2}+\frac{3\,a^2\,b\,{\mathrm{cosh}\left(c+d\,x\right)}^5}{5}-2\,a^2\,b\,{\mathrm{cosh}\left(c+d\,x\right)}^3+3\,a^2\,b\,\mathrm{cosh}\left(c+d\,x\right)+\frac{3\,\mathrm{sinh}\left(c+d\,x\right)\,a\,b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^7}{8}-\frac{25\,\mathrm{sinh}\left(c+d\,x\right)\,a\,b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^5}{16}+\frac{163\,\mathrm{sinh}\left(c+d\,x\right)\,a\,b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^3}{64}-\frac{279\,\mathrm{sinh}\left(c+d\,x\right)\,a\,b^2\,\mathrm{cosh}\left(c+d\,x\right)}{128}+\frac{105\,d\,x\,a\,b^2}{128}+\frac{b^3\,{\mathrm{cosh}\left(c+d\,x\right)}^{11}}{11}-\frac{5\,b^3\,{\mathrm{cosh}\left(c+d\,x\right)}^9}{9}+\frac{10\,b^3\,{\mathrm{cosh}\left(c+d\,x\right)}^7}{7}-2\,b^3\,{\mathrm{cosh}\left(c+d\,x\right)}^5+\frac{5\,b^3\,{\mathrm{cosh}\left(c+d\,x\right)}^3}{3}-b^3\,\mathrm{cosh}\left(c+d\,x\right)}{d}","Not used",1,"((5*b^3*cosh(c + d*x)^3)/3 - b^3*cosh(c + d*x) - 2*b^3*cosh(c + d*x)^5 + (10*b^3*cosh(c + d*x)^7)/7 - (5*b^3*cosh(c + d*x)^9)/9 + (b^3*cosh(c + d*x)^11)/11 - 2*a^2*b*cosh(c + d*x)^3 + (3*a^2*b*cosh(c + d*x)^5)/5 + 3*a^2*b*cosh(c + d*x) + (a^3*cosh(c + d*x)*sinh(c + d*x))/2 - (a^3*d*x)/2 - (279*a*b^2*cosh(c + d*x)*sinh(c + d*x))/128 + (105*a*b^2*d*x)/128 + (163*a*b^2*cosh(c + d*x)^3*sinh(c + d*x))/64 - (25*a*b^2*cosh(c + d*x)^5*sinh(c + d*x))/16 + (3*a*b^2*cosh(c + d*x)^7*sinh(c + d*x))/8)/d","B"
162,1,189,267,2.953304,"\text{Not used}","int(sinh(c + d*x)*(a + b*sinh(c + d*x)^3)^3,x)","\frac{8960\,a^3\,\mathrm{cosh}\left(c+d\,x\right)+\frac{3675\,b^3\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)}{2}-525\,b^3\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)+\frac{525\,b^3\,\mathrm{sinh}\left(6\,c+6\,d\,x\right)}{4}-\frac{175\,b^3\,\mathrm{sinh}\left(8\,c+8\,d\,x\right)}{8}+\frac{7\,b^3\,\mathrm{sinh}\left(10\,c+10\,d\,x\right)}{4}+2940\,a\,b^2\,\mathrm{cosh}\left(3\,c+3\,d\,x\right)-588\,a\,b^2\,\mathrm{cosh}\left(5\,c+5\,d\,x\right)+60\,a\,b^2\,\mathrm{cosh}\left(7\,c+7\,d\,x\right)-6720\,a^2\,b\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)+840\,a^2\,b\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)-14700\,a\,b^2\,\mathrm{cosh}\left(c+d\,x\right)-2205\,b^3\,d\,x+10080\,a^2\,b\,d\,x}{8960\,d}","Not used",1,"(8960*a^3*cosh(c + d*x) + (3675*b^3*sinh(2*c + 2*d*x))/2 - 525*b^3*sinh(4*c + 4*d*x) + (525*b^3*sinh(6*c + 6*d*x))/4 - (175*b^3*sinh(8*c + 8*d*x))/8 + (7*b^3*sinh(10*c + 10*d*x))/4 + 2940*a*b^2*cosh(3*c + 3*d*x) - 588*a*b^2*cosh(5*c + 5*d*x) + 60*a*b^2*cosh(7*c + 7*d*x) - 6720*a^2*b*sinh(2*c + 2*d*x) + 840*a^2*b*sinh(4*c + 4*d*x) - 14700*a*b^2*cosh(c + d*x) - 2205*b^3*d*x + 10080*a^2*b*d*x)/(8960*d)","B"
163,1,164,204,0.931191,"\text{Not used}","int((a + b*sinh(c + d*x)^3)^3,x)","\frac{d\,x\,a^3+a^2\,b\,{\mathrm{cosh}\left(c+d\,x\right)}^3-3\,a^2\,b\,\mathrm{cosh}\left(c+d\,x\right)+\frac{\mathrm{sinh}\left(c+d\,x\right)\,a\,b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^5}{2}-\frac{13\,\mathrm{sinh}\left(c+d\,x\right)\,a\,b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^3}{8}+\frac{33\,\mathrm{sinh}\left(c+d\,x\right)\,a\,b^2\,\mathrm{cosh}\left(c+d\,x\right)}{16}-\frac{15\,d\,x\,a\,b^2}{16}+\frac{b^3\,{\mathrm{cosh}\left(c+d\,x\right)}^9}{9}-\frac{4\,b^3\,{\mathrm{cosh}\left(c+d\,x\right)}^7}{7}+\frac{6\,b^3\,{\mathrm{cosh}\left(c+d\,x\right)}^5}{5}-\frac{4\,b^3\,{\mathrm{cosh}\left(c+d\,x\right)}^3}{3}+b^3\,\mathrm{cosh}\left(c+d\,x\right)}{d}","Not used",1,"(b^3*cosh(c + d*x) - (4*b^3*cosh(c + d*x)^3)/3 + (6*b^3*cosh(c + d*x)^5)/5 - (4*b^3*cosh(c + d*x)^7)/7 + (b^3*cosh(c + d*x)^9)/9 + a^2*b*cosh(c + d*x)^3 - 3*a^2*b*cosh(c + d*x) + a^3*d*x + (33*a*b^2*cosh(c + d*x)*sinh(c + d*x))/16 - (15*a*b^2*d*x)/16 - (13*a*b^2*cosh(c + d*x)^3*sinh(c + d*x))/8 + (a*b^2*cosh(c + d*x)^5*sinh(c + d*x))/2)/d","B"
164,1,315,201,0.503930,"\text{Not used}","int((a + b*sinh(c + d*x)^3)^3/sinh(c + d*x),x)","\frac{7\,b^3\,{\mathrm{e}}^{4\,c+4\,d\,x}}{256\,d}-\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{7\,b^3\,{\mathrm{e}}^{-4\,c-4\,d\,x}}{256\,d}-x\,\left(\frac{3\,a^2\,b}{2}-\frac{35\,b^3}{128}\right)+\frac{b^3\,{\mathrm{e}}^{-6\,c-6\,d\,x}}{192\,d}-\frac{b^3\,{\mathrm{e}}^{6\,c+6\,d\,x}}{192\,d}-\frac{b^3\,{\mathrm{e}}^{-8\,c-8\,d\,x}}{2048\,d}+\frac{b^3\,{\mathrm{e}}^{8\,c+8\,d\,x}}{2048\,d}-\frac{{\mathrm{e}}^{-2\,c-2\,d\,x}\,\left(24\,a^2\,b-7\,b^3\right)}{64\,d}+\frac{{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(24\,a^2\,b-7\,b^3\right)}{64\,d}+\frac{15\,a\,b^2\,{\mathrm{e}}^{-c-d\,x}}{16\,d}-\frac{5\,a\,b^2\,{\mathrm{e}}^{-3\,c-3\,d\,x}}{32\,d}-\frac{5\,a\,b^2\,{\mathrm{e}}^{3\,c+3\,d\,x}}{32\,d}+\frac{3\,a\,b^2\,{\mathrm{e}}^{-5\,c-5\,d\,x}}{160\,d}+\frac{3\,a\,b^2\,{\mathrm{e}}^{5\,c+5\,d\,x}}{160\,d}+\frac{15\,a\,b^2\,{\mathrm{e}}^{c+d\,x}}{16\,d}","Not used",1,"(7*b^3*exp(4*c + 4*d*x))/(256*d) - (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) - (7*b^3*exp(- 4*c - 4*d*x))/(256*d) - x*((3*a^2*b)/2 - (35*b^3)/128) + (b^3*exp(- 6*c - 6*d*x))/(192*d) - (b^3*exp(6*c + 6*d*x))/(192*d) - (b^3*exp(- 8*c - 8*d*x))/(2048*d) + (b^3*exp(8*c + 8*d*x))/(2048*d) - (exp(- 2*c - 2*d*x)*(24*a^2*b - 7*b^3))/(64*d) + (exp(2*c + 2*d*x)*(24*a^2*b - 7*b^3))/(64*d) + (15*a*b^2*exp(- c - d*x))/(16*d) - (5*a*b^2*exp(- 3*c - 3*d*x))/(32*d) - (5*a*b^2*exp(3*c + 3*d*x))/(32*d) + (3*a*b^2*exp(- 5*c - 5*d*x))/(160*d) + (3*a*b^2*exp(5*c + 5*d*x))/(160*d) + (15*a*b^2*exp(c + d*x))/(16*d)","B"
165,1,252,152,0.395982,"\text{Not used}","int((a + b*sinh(c + d*x)^3)^3/sinh(c + d*x)^2,x)","\frac{{\mathrm{e}}^{c+d\,x}\,\left(192\,a^2\,b-35\,b^3\right)}{128\,d}-\frac{2\,a^3}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}+\frac{7\,b^3\,{\mathrm{e}}^{-3\,c-3\,d\,x}}{128\,d}+\frac{7\,b^3\,{\mathrm{e}}^{3\,c+3\,d\,x}}{128\,d}-\frac{7\,b^3\,{\mathrm{e}}^{-5\,c-5\,d\,x}}{640\,d}-\frac{7\,b^3\,{\mathrm{e}}^{5\,c+5\,d\,x}}{640\,d}+\frac{b^3\,{\mathrm{e}}^{-7\,c-7\,d\,x}}{896\,d}+\frac{b^3\,{\mathrm{e}}^{7\,c+7\,d\,x}}{896\,d}+\frac{{\mathrm{e}}^{-c-d\,x}\,\left(192\,a^2\,b-35\,b^3\right)}{128\,d}+\frac{9\,a\,b^2\,x}{8}+\frac{3\,a\,b^2\,{\mathrm{e}}^{-2\,c-2\,d\,x}}{8\,d}-\frac{3\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}}{8\,d}-\frac{3\,a\,b^2\,{\mathrm{e}}^{-4\,c-4\,d\,x}}{64\,d}+\frac{3\,a\,b^2\,{\mathrm{e}}^{4\,c+4\,d\,x}}{64\,d}","Not used",1,"(exp(c + d*x)*(192*a^2*b - 35*b^3))/(128*d) - (2*a^3)/(d*(exp(2*c + 2*d*x) - 1)) + (7*b^3*exp(- 3*c - 3*d*x))/(128*d) + (7*b^3*exp(3*c + 3*d*x))/(128*d) - (7*b^3*exp(- 5*c - 5*d*x))/(640*d) - (7*b^3*exp(5*c + 5*d*x))/(640*d) + (b^3*exp(- 7*c - 7*d*x))/(896*d) + (b^3*exp(7*c + 7*d*x))/(896*d) + (exp(- c - d*x)*(192*a^2*b - 35*b^3))/(128*d) + (9*a*b^2*x)/8 + (3*a*b^2*exp(- 2*c - 2*d*x))/(8*d) - (3*a*b^2*exp(2*c + 2*d*x))/(8*d) - (3*a*b^2*exp(- 4*c - 4*d*x))/(64*d) + (3*a*b^2*exp(4*c + 4*d*x))/(64*d)","B"
166,1,290,156,0.929196,"\text{Not used}","int((a + b*sinh(c + d*x)^3)^3/sinh(c + d*x)^3,x)","x\,\left(3\,a^2\,b-\frac{5\,b^3}{16}\right)+\frac{\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{15\,b^3\,{\mathrm{e}}^{-2\,c-2\,d\,x}}{128\,d}+\frac{15\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}}{128\,d}+\frac{3\,b^3\,{\mathrm{e}}^{-4\,c-4\,d\,x}}{128\,d}-\frac{3\,b^3\,{\mathrm{e}}^{4\,c+4\,d\,x}}{128\,d}-\frac{b^3\,{\mathrm{e}}^{-6\,c-6\,d\,x}}{384\,d}+\frac{b^3\,{\mathrm{e}}^{6\,c+6\,d\,x}}{384\,d}-\frac{9\,a\,b^2\,{\mathrm{e}}^{-c-d\,x}}{8\,d}+\frac{a\,b^2\,{\mathrm{e}}^{-3\,c-3\,d\,x}}{8\,d}+\frac{a\,b^2\,{\mathrm{e}}^{3\,c+3\,d\,x}}{8\,d}-\frac{9\,a\,b^2\,{\mathrm{e}}^{c+d\,x}}{8\,d}-\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)}","Not used",1,"x*(3*a^2*b - (5*b^3)/16) + (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) - (15*b^3*exp(- 2*c - 2*d*x))/(128*d) + (15*b^3*exp(2*c + 2*d*x))/(128*d) + (3*b^3*exp(- 4*c - 4*d*x))/(128*d) - (3*b^3*exp(4*c + 4*d*x))/(128*d) - (b^3*exp(- 6*c - 6*d*x))/(384*d) + (b^3*exp(6*c + 6*d*x))/(384*d) - (9*a*b^2*exp(- c - d*x))/(8*d) + (a*b^2*exp(- 3*c - 3*d*x))/(8*d) + (a*b^2*exp(3*c + 3*d*x))/(8*d) - (9*a*b^2*exp(c + d*x))/(8*d) - (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"
167,1,267,129,0.880214,"\text{Not used}","int((a + b*sinh(c + d*x)^3)^3/sinh(c + d*x)^4,x)","\frac{5\,b^3\,{\mathrm{e}}^{c+d\,x}}{16\,d}-\frac{4\,a^3}{d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}+\frac{5\,b^3\,{\mathrm{e}}^{-c-d\,x}}{16\,d}-\frac{5\,b^3\,{\mathrm{e}}^{-3\,c-3\,d\,x}}{96\,d}-\frac{5\,b^3\,{\mathrm{e}}^{3\,c+3\,d\,x}}{96\,d}+\frac{b^3\,{\mathrm{e}}^{-5\,c-5\,d\,x}}{160\,d}+\frac{b^3\,{\mathrm{e}}^{5\,c+5\,d\,x}}{160\,d}-\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\,\mathrm{atan}\left(\frac{a^2\,b\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\sqrt{-d^2}}{d\,\sqrt{a^4\,b^2}}\right)\,\sqrt{a^4\,b^2}}{\sqrt{-d^2}}-\frac{3\,a\,b^2\,x}{2}-\frac{3\,a\,b^2\,{\mathrm{e}}^{-2\,c-2\,d\,x}}{8\,d}+\frac{3\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}}{8\,d}","Not used",1,"(5*b^3*exp(c + d*x))/(16*d) - (4*a^3)/(d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) + (5*b^3*exp(- c - d*x))/(16*d) - (5*b^3*exp(- 3*c - 3*d*x))/(96*d) - (5*b^3*exp(3*c + 3*d*x))/(96*d) + (b^3*exp(- 5*c - 5*d*x))/(160*d) + (b^3*exp(5*c + 5*d*x))/(160*d) - (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*atan((a^2*b*exp(d*x)*exp(c)*(-d^2)^(1/2))/(d*(a^4*b^2)^(1/2)))*(a^4*b^2)^(1/2))/(-d^2)^(1/2) - (3*a*b^2*x)/2 - (3*a*b^2*exp(- 2*c - 2*d*x))/(8*d) + (3*a*b^2*exp(2*c + 2*d*x))/(8*d)","B"
168,1,451,148,0.868047,"\text{Not used}","int((a + b*sinh(c + d*x)^3)^3/sinh(c + d*x)^5,x)","\frac{3\,b^3\,x}{8}-\frac{\frac{3\,a^2\,b}{2\,d}+\frac{2\,a^3\,{\mathrm{e}}^{c+d\,x}}{d}-\frac{3\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}}{d}+\frac{3\,a^2\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}}{2\,d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}-3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}-1}-\frac{\frac{4\,a^3\,{\mathrm{e}}^{3\,c+3\,d\,x}}{d}-\frac{3\,a^2\,b}{2\,d}+\frac{9\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}}{2\,d}-\frac{9\,a^2\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}}{2\,d}+\frac{3\,a^2\,b\,{\mathrm{e}}^{6\,c+6\,d\,x}}{2\,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{3\,a^2\,b}{d}-\frac{3\,a^3\,{\mathrm{e}}^{c+d\,x}}{4\,d}}{{\mathrm{e}}^{2\,c+2\,d\,x}-1}-\frac{3\,\mathrm{atan}\left(\frac{a^3\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\sqrt{-d^2}}{d\,\sqrt{a^6}}\right)\,\sqrt{a^6}}{4\,\sqrt{-d^2}}+\frac{b^3\,{\mathrm{e}}^{-2\,c-2\,d\,x}}{8\,d}-\frac{b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}}{8\,d}-\frac{b^3\,{\mathrm{e}}^{-4\,c-4\,d\,x}}{64\,d}+\frac{b^3\,{\mathrm{e}}^{4\,c+4\,d\,x}}{64\,d}+\frac{3\,a\,b^2\,{\mathrm{e}}^{-c-d\,x}}{2\,d}+\frac{3\,a\,b^2\,{\mathrm{e}}^{c+d\,x}}{2\,d}-\frac{a^3\,{\mathrm{e}}^{c+d\,x}}{2\,d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"(3*b^3*x)/8 - ((3*a^2*b)/(2*d) + (2*a^3*exp(c + d*x))/d - (3*a^2*b*exp(2*c + 2*d*x))/d + (3*a^2*b*exp(4*c + 4*d*x))/(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^3*exp(3*c + 3*d*x))/d - (3*a^2*b)/(2*d) + (9*a^2*b*exp(2*c + 2*d*x))/(2*d) - (9*a^2*b*exp(4*c + 4*d*x))/(2*d) + (3*a^2*b*exp(6*c + 6*d*x))/(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) - ((3*a^2*b)/d - (3*a^3*exp(c + d*x))/(4*d))/(exp(2*c + 2*d*x) - 1) - (3*atan((a^3*exp(d*x)*exp(c)*(-d^2)^(1/2))/(d*(a^6)^(1/2)))*(a^6)^(1/2))/(4*(-d^2)^(1/2)) + (b^3*exp(- 2*c - 2*d*x))/(8*d) - (b^3*exp(2*c + 2*d*x))/(8*d) - (b^3*exp(- 4*c - 4*d*x))/(64*d) + (b^3*exp(4*c + 4*d*x))/(64*d) + (3*a*b^2*exp(- c - d*x))/(2*d) + (3*a*b^2*exp(c + d*x))/(2*d) - (a^3*exp(c + d*x))/(2*d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1))","B"
169,1,432,131,0.807329,"\text{Not used}","int((a + b*sinh(c + d*x)^3)^3/sinh(c + d*x)^6,x)","\frac{b^3\,{\mathrm{e}}^{-3\,c-3\,d\,x}}{24\,d}-\frac{3\,b^3\,{\mathrm{e}}^{c+d\,x}}{8\,d}-\frac{3\,b^3\,{\mathrm{e}}^{-c-d\,x}}{8\,d}-\frac{\frac{32\,a^3\,{\mathrm{e}}^{4\,c+4\,d\,x}}{5\,d}+\frac{36\,a^2\,b\,{\mathrm{e}}^{3\,c+3\,d\,x}}{5\,d}-\frac{36\,a^2\,b\,{\mathrm{e}}^{5\,c+5\,d\,x}}{5\,d}+\frac{12\,a^2\,b\,{\mathrm{e}}^{7\,c+7\,d\,x}}{5\,d}-\frac{12\,a^2\,b\,{\mathrm{e}}^{c+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{b^3\,{\mathrm{e}}^{3\,c+3\,d\,x}}{24\,d}-\frac{64\,a^3}{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{16\,a^3}{5\,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{3\,\mathrm{atan}\left(\frac{a^2\,b\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\sqrt{-d^2}}{d\,\sqrt{a^4\,b^2}}\right)\,\sqrt{a^4\,b^2}}{\sqrt{-d^2}}+3\,a\,b^2\,x-\frac{3\,a^2\,b\,{\mathrm{e}}^{c+d\,x}}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{18\,a^2\,b\,{\mathrm{e}}^{c+d\,x}}{5\,d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"(b^3*exp(- 3*c - 3*d*x))/(24*d) - (3*b^3*exp(c + d*x))/(8*d) - (3*b^3*exp(- c - d*x))/(8*d) - ((32*a^3*exp(4*c + 4*d*x))/(5*d) + (36*a^2*b*exp(3*c + 3*d*x))/(5*d) - (36*a^2*b*exp(5*c + 5*d*x))/(5*d) + (12*a^2*b*exp(7*c + 7*d*x))/(5*d) - (12*a^2*b*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^3*exp(3*c + 3*d*x))/(24*d) - (64*a^3)/(15*d*(3*exp(2*c + 2*d*x) - 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) - 1)) - (16*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)) + (3*atan((a^2*b*exp(d*x)*exp(c)*(-d^2)^(1/2))/(d*(a^4*b^2)^(1/2)))*(a^4*b^2)^(1/2))/(-d^2)^(1/2) + 3*a*b^2*x - (3*a^2*b*exp(c + d*x))/(d*(exp(2*c + 2*d*x) - 1)) - (18*a^2*b*exp(c + d*x))/(5*d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1))","B"
170,1,486,166,0.293537,"\text{Not used}","int((a + b*sinh(c + d*x)^3)^3/sinh(c + d*x)^7,x)","\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(5\,a^3\,\sqrt{-d^2}-48\,a\,b^2\,\sqrt{-d^2}\right)}{d\,\sqrt{25\,a^6-480\,a^4\,b^2+2304\,a^2\,b^4}}\right)\,\sqrt{25\,a^6-480\,a^4\,b^2+2304\,a^2\,b^4}}{8\,\sqrt{-d^2}}-\frac{b^3\,x}{2}-\frac{\frac{12\,a^2\,b}{d}-\frac{5\,a^3\,{\mathrm{e}}^{c+d\,x}}{12\,d}}{{\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1}-\frac{\frac{8\,a^2\,b}{d}+\frac{a^3\,{\mathrm{e}}^{c+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{b^3\,{\mathrm{e}}^{-2\,c-2\,d\,x}}{8\,d}+\frac{b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}}{8\,d}-\frac{18\,a^3\,{\mathrm{e}}^{c+d\,x}}{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{80\,a^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{32\,a^3\,{\mathrm{e}}^{c+d\,x}}{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{5\,a^3\,{\mathrm{e}}^{c+d\,x}}{8\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}","Not used",1,"(atan((exp(d*x)*exp(c)*(5*a^3*(-d^2)^(1/2) - 48*a*b^2*(-d^2)^(1/2)))/(d*(25*a^6 + 2304*a^2*b^4 - 480*a^4*b^2)^(1/2)))*(25*a^6 + 2304*a^2*b^4 - 480*a^4*b^2)^(1/2))/(8*(-d^2)^(1/2)) - (b^3*x)/2 - ((12*a^2*b)/d - (5*a^3*exp(c + d*x))/(12*d))/(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1) - ((8*a^2*b)/d + (a^3*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) - (b^3*exp(- 2*c - 2*d*x))/(8*d) + (b^3*exp(2*c + 2*d*x))/(8*d) - (18*a^3*exp(c + d*x))/(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)) - (80*a^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)) - (32*a^3*exp(c + d*x))/(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)) - (5*a^3*exp(c + d*x))/(8*d*(exp(2*c + 2*d*x) - 1))","B"
171,1,1579,328,10.804516,"\text{Not used}","int(sinh(c + d*x)^6/(a + b*sinh(c + d*x)^3),x)","\left(\sum _{k=1}^6\ln\left(\frac{-a^{10}\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^{12}\,d^6\,z^6+729\,b^{14}\,d^6\,z^6-243\,a^4\,b^8\,d^4\,z^4+27\,a^6\,b^4\,d^2\,z^2-a^8,z,k\right)}\,98304+{\mathrm{root}\left(729\,a^2\,b^{12}\,d^6\,z^6+729\,b^{14}\,d^6\,z^6-243\,a^4\,b^8\,d^4\,z^4+27\,a^6\,b^4\,d^2\,z^2-a^8,z,k\right)}^2\,a^7\,b^5\,d^2\,294912+{\mathrm{root}\left(729\,a^2\,b^{12}\,d^6\,z^6+729\,b^{14}\,d^6\,z^6-243\,a^4\,b^8\,d^4\,z^4+27\,a^6\,b^4\,d^2\,z^2-a^8,z,k\right)}^3\,a^6\,b^7\,d^3\,1327104+{\mathrm{root}\left(729\,a^2\,b^{12}\,d^6\,z^6+729\,b^{14}\,d^6\,z^6-243\,a^4\,b^8\,d^4\,z^4+27\,a^6\,b^4\,d^2\,z^2-a^8,z,k\right)}^4\,a^5\,b^9\,d^4\,2654208+{\mathrm{root}\left(729\,a^2\,b^{12}\,d^6\,z^6+729\,b^{14}\,d^6\,z^6-243\,a^4\,b^8\,d^4\,z^4+27\,a^6\,b^4\,d^2\,z^2-a^8,z,k\right)}^5\,a^4\,b^{11}\,d^5\,1990656+\mathrm{root}\left(729\,a^2\,b^{12}\,d^6\,z^6+729\,b^{14}\,d^6\,z^6-243\,a^4\,b^8\,d^4\,z^4+27\,a^6\,b^4\,d^2\,z^2-a^8,z,k\right)\,a^8\,b^3\,d\,24576+{\mathrm{root}\left(729\,a^2\,b^{12}\,d^6\,z^6+729\,b^{14}\,d^6\,z^6-243\,a^4\,b^8\,d^4\,z^4+27\,a^6\,b^4\,d^2\,z^2-a^8,z,k\right)}^2\,a^8\,b^4\,d^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^{12}\,d^6\,z^6+729\,b^{14}\,d^6\,z^6-243\,a^4\,b^8\,d^4\,z^4+27\,a^6\,b^4\,d^2\,z^2-a^8,z,k\right)}\,589824+{\mathrm{root}\left(729\,a^2\,b^{12}\,d^6\,z^6+729\,b^{14}\,d^6\,z^6-243\,a^4\,b^8\,d^4\,z^4+27\,a^6\,b^4\,d^2\,z^2-a^8,z,k\right)}^3\,a^7\,b^6\,d^3\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^{12}\,d^6\,z^6+729\,b^{14}\,d^6\,z^6-243\,a^4\,b^8\,d^4\,z^4+27\,a^6\,b^4\,d^2\,z^2-a^8,z,k\right)}\,5308416-{\mathrm{root}\left(729\,a^2\,b^{12}\,d^6\,z^6+729\,b^{14}\,d^6\,z^6-243\,a^4\,b^8\,d^4\,z^4+27\,a^6\,b^4\,d^2\,z^2-a^8,z,k\right)}^4\,a^4\,b^{10}\,d^4\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^{12}\,d^6\,z^6+729\,b^{14}\,d^6\,z^6-243\,a^4\,b^8\,d^4\,z^4+27\,a^6\,b^4\,d^2\,z^2-a^8,z,k\right)}\,663552+{\mathrm{root}\left(729\,a^2\,b^{12}\,d^6\,z^6+729\,b^{14}\,d^6\,z^6-243\,a^4\,b^8\,d^4\,z^4+27\,a^6\,b^4\,d^2\,z^2-a^8,z,k\right)}^4\,a^6\,b^8\,d^4\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^{12}\,d^6\,z^6+729\,b^{14}\,d^6\,z^6-243\,a^4\,b^8\,d^4\,z^4+27\,a^6\,b^4\,d^2\,z^2-a^8,z,k\right)}\,2654208-{\mathrm{root}\left(729\,a^2\,b^{12}\,d^6\,z^6+729\,b^{14}\,d^6\,z^6-243\,a^4\,b^8\,d^4\,z^4+27\,a^6\,b^4\,d^2\,z^2-a^8,z,k\right)}^5\,a^3\,b^{12}\,d^5\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^{12}\,d^6\,z^6+729\,b^{14}\,d^6\,z^6-243\,a^4\,b^8\,d^4\,z^4+27\,a^6\,b^4\,d^2\,z^2-a^8,z,k\right)}\,9953280-{\mathrm{root}\left(729\,a^2\,b^{12}\,d^6\,z^6+729\,b^{14}\,d^6\,z^6-243\,a^4\,b^8\,d^4\,z^4+27\,a^6\,b^4\,d^2\,z^2-a^8,z,k\right)}^5\,a^5\,b^{10}\,d^5\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^{12}\,d^6\,z^6+729\,b^{14}\,d^6\,z^6-243\,a^4\,b^8\,d^4\,z^4+27\,a^6\,b^4\,d^2\,z^2-a^8,z,k\right)}\,7962624-\mathrm{root}\left(729\,a^2\,b^{12}\,d^6\,z^6+729\,b^{14}\,d^6\,z^6-243\,a^4\,b^8\,d^4\,z^4+27\,a^6\,b^4\,d^2\,z^2-a^8,z,k\right)\,a^9\,b^2\,d\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^{12}\,d^6\,z^6+729\,b^{14}\,d^6\,z^6-243\,a^4\,b^8\,d^4\,z^4+27\,a^6\,b^4\,d^2\,z^2-a^8,z,k\right)}\,491520}{b^{15}}\right)\,\mathrm{root}\left(729\,a^2\,b^{12}\,d^6\,z^6+729\,b^{14}\,d^6\,z^6-243\,a^4\,b^8\,d^4\,z^4+27\,a^6\,b^4\,d^2\,z^2-a^8,z,k\right)\right)-\frac{3\,{\mathrm{e}}^{c+d\,x}}{8\,b\,d}-\frac{3\,{\mathrm{e}}^{-c-d\,x}}{8\,b\,d}+\frac{{\mathrm{e}}^{-3\,c-3\,d\,x}}{24\,b\,d}+\frac{{\mathrm{e}}^{3\,c+3\,d\,x}}{24\,b\,d}-\frac{a\,x}{b^2}","Not used",1,"symsum(log((294912*root(729*a^2*b^12*d^6*z^6 + 729*b^14*d^6*z^6 - 243*a^4*b^8*d^4*z^4 + 27*a^6*b^4*d^2*z^2 - a^8, z, k)^2*a^7*b^5*d^2 - 98304*a^10*exp(d*x)*exp(root(729*a^2*b^12*d^6*z^6 + 729*b^14*d^6*z^6 - 243*a^4*b^8*d^4*z^4 + 27*a^6*b^4*d^2*z^2 - a^8, z, k)) + 1327104*root(729*a^2*b^12*d^6*z^6 + 729*b^14*d^6*z^6 - 243*a^4*b^8*d^4*z^4 + 27*a^6*b^4*d^2*z^2 - a^8, z, k)^3*a^6*b^7*d^3 + 2654208*root(729*a^2*b^12*d^6*z^6 + 729*b^14*d^6*z^6 - 243*a^4*b^8*d^4*z^4 + 27*a^6*b^4*d^2*z^2 - a^8, z, k)^4*a^5*b^9*d^4 + 1990656*root(729*a^2*b^12*d^6*z^6 + 729*b^14*d^6*z^6 - 243*a^4*b^8*d^4*z^4 + 27*a^6*b^4*d^2*z^2 - a^8, z, k)^5*a^4*b^11*d^5 + 24576*root(729*a^2*b^12*d^6*z^6 + 729*b^14*d^6*z^6 - 243*a^4*b^8*d^4*z^4 + 27*a^6*b^4*d^2*z^2 - a^8, z, k)*a^8*b^3*d + 589824*root(729*a^2*b^12*d^6*z^6 + 729*b^14*d^6*z^6 - 243*a^4*b^8*d^4*z^4 + 27*a^6*b^4*d^2*z^2 - a^8, z, k)^2*a^8*b^4*d^2*exp(d*x)*exp(root(729*a^2*b^12*d^6*z^6 + 729*b^14*d^6*z^6 - 243*a^4*b^8*d^4*z^4 + 27*a^6*b^4*d^2*z^2 - a^8, z, k)) + 5308416*root(729*a^2*b^12*d^6*z^6 + 729*b^14*d^6*z^6 - 243*a^4*b^8*d^4*z^4 + 27*a^6*b^4*d^2*z^2 - a^8, z, k)^3*a^7*b^6*d^3*exp(d*x)*exp(root(729*a^2*b^12*d^6*z^6 + 729*b^14*d^6*z^6 - 243*a^4*b^8*d^4*z^4 + 27*a^6*b^4*d^2*z^2 - a^8, z, k)) - 663552*root(729*a^2*b^12*d^6*z^6 + 729*b^14*d^6*z^6 - 243*a^4*b^8*d^4*z^4 + 27*a^6*b^4*d^2*z^2 - a^8, z, k)^4*a^4*b^10*d^4*exp(d*x)*exp(root(729*a^2*b^12*d^6*z^6 + 729*b^14*d^6*z^6 - 243*a^4*b^8*d^4*z^4 + 27*a^6*b^4*d^2*z^2 - a^8, z, k)) + 2654208*root(729*a^2*b^12*d^6*z^6 + 729*b^14*d^6*z^6 - 243*a^4*b^8*d^4*z^4 + 27*a^6*b^4*d^2*z^2 - a^8, z, k)^4*a^6*b^8*d^4*exp(d*x)*exp(root(729*a^2*b^12*d^6*z^6 + 729*b^14*d^6*z^6 - 243*a^4*b^8*d^4*z^4 + 27*a^6*b^4*d^2*z^2 - a^8, z, k)) - 9953280*root(729*a^2*b^12*d^6*z^6 + 729*b^14*d^6*z^6 - 243*a^4*b^8*d^4*z^4 + 27*a^6*b^4*d^2*z^2 - a^8, z, k)^5*a^3*b^12*d^5*exp(d*x)*exp(root(729*a^2*b^12*d^6*z^6 + 729*b^14*d^6*z^6 - 243*a^4*b^8*d^4*z^4 + 27*a^6*b^4*d^2*z^2 - a^8, z, k)) - 7962624*root(729*a^2*b^12*d^6*z^6 + 729*b^14*d^6*z^6 - 243*a^4*b^8*d^4*z^4 + 27*a^6*b^4*d^2*z^2 - a^8, z, k)^5*a^5*b^10*d^5*exp(d*x)*exp(root(729*a^2*b^12*d^6*z^6 + 729*b^14*d^6*z^6 - 243*a^4*b^8*d^4*z^4 + 27*a^6*b^4*d^2*z^2 - a^8, z, k)) - 491520*root(729*a^2*b^12*d^6*z^6 + 729*b^14*d^6*z^6 - 243*a^4*b^8*d^4*z^4 + 27*a^6*b^4*d^2*z^2 - a^8, z, k)*a^9*b^2*d*exp(d*x)*exp(root(729*a^2*b^12*d^6*z^6 + 729*b^14*d^6*z^6 - 243*a^4*b^8*d^4*z^4 + 27*a^6*b^4*d^2*z^2 - a^8, z, k)))/b^15)*root(729*a^2*b^12*d^6*z^6 + 729*b^14*d^6*z^6 - 243*a^4*b^8*d^4*z^4 + 27*a^6*b^4*d^2*z^2 - a^8, z, k), k, 1, 6) - (3*exp(c + d*x))/(8*b*d) - (3*exp(- c - d*x))/(8*b*d) + exp(- 3*c - 3*d*x)/(24*b*d) + exp(3*c + 3*d*x)/(24*b*d) - (a*x)/b^2","B"
172,1,1114,295,11.480892,"\text{Not used}","int(sinh(c + d*x)^5/(a + b*sinh(c + d*x)^3),x)","\left(\sum _{k=1}^6\ln\left(-\mathrm{root}\left(729\,a^2\,b^{10}\,d^6\,z^6+729\,b^{12}\,d^6\,z^6-243\,a^2\,b^8\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-a^6,z,k\right)\,\left(\mathrm{root}\left(729\,a^2\,b^{10}\,d^6\,z^6+729\,b^{12}\,d^6\,z^6-243\,a^2\,b^8\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-a^6,z,k\right)\,\left(\mathrm{root}\left(729\,a^2\,b^{10}\,d^6\,z^6+729\,b^{12}\,d^6\,z^6-243\,a^2\,b^8\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-a^6,z,k\right)\,\left(\mathrm{root}\left(729\,a^2\,b^{10}\,d^6\,z^6+729\,b^{12}\,d^6\,z^6-243\,a^2\,b^8\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-a^6,z,k\right)\,\left(\frac{\left(8\,a^6\,d^4+4\,a^4\,b^2\,d^4-a^5\,b\,d^4\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^{10}\,d^6\,z^6+729\,b^{12}\,d^6\,z^6-243\,a^2\,b^8\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-a^6,z,k\right)}\,5\right)\,663552}{b^7}+\frac{\mathrm{root}\left(729\,a^2\,b^{10}\,d^6\,z^6+729\,b^{12}\,d^6\,z^6-243\,a^2\,b^8\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-a^6,z,k\right)\,\left(-a^4\,b\,d^5+a^5\,d^5\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^{10}\,d^6\,z^6+729\,b^{12}\,d^6\,z^6-243\,a^2\,b^8\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-a^6,z,k\right)}\,4+a^3\,b^2\,d^5\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^{10}\,d^6\,z^6+729\,b^{12}\,d^6\,z^6-243\,a^2\,b^8\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-a^6,z,k\right)}\,5\right)\,1990656}{b^5}\right)+\frac{\left(4\,a^6\,b\,d^3+a^7\,d^3\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^{10}\,d^6\,z^6+729\,b^{12}\,d^6\,z^6-243\,a^2\,b^8\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-a^6,z,k\right)}\,8-a^5\,b^2\,d^3\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^{10}\,d^6\,z^6+729\,b^{12}\,d^6\,z^6-243\,a^2\,b^8\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-a^6,z,k\right)}\,5\right)\,442368}{b^9}\right)-\frac{a^6\,d^2\,\left(2\,b-a\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^{10}\,d^6\,z^6+729\,b^{12}\,d^6\,z^6-243\,a^2\,b^8\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-a^6,z,k\right)}\,5\right)\,294912}{b^{10}}\right)-\frac{a^7\,d\,\left(8\,a-b\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^{10}\,d^6\,z^6+729\,b^{12}\,d^6\,z^6-243\,a^2\,b^8\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-a^6,z,k\right)}\,5\right)\,24576}{b^{12}}\right)-\frac{a^8\,\left(b-a\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^{10}\,d^6\,z^6+729\,b^{12}\,d^6\,z^6-243\,a^2\,b^8\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-a^6,z,k\right)}\,4\right)\,32768}{b^{14}}\right)\,\mathrm{root}\left(729\,a^2\,b^{10}\,d^6\,z^6+729\,b^{12}\,d^6\,z^6-243\,a^2\,b^8\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-a^6,z,k\right)\right)-\frac{x}{2\,b}-\frac{{\mathrm{e}}^{-2\,c-2\,d\,x}}{8\,b\,d}+\frac{{\mathrm{e}}^{2\,c+2\,d\,x}}{8\,b\,d}","Not used",1,"symsum(log(- root(729*a^2*b^10*d^6*z^6 + 729*b^12*d^6*z^6 - 243*a^2*b^8*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - a^6, z, k)*(root(729*a^2*b^10*d^6*z^6 + 729*b^12*d^6*z^6 - 243*a^2*b^8*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - a^6, z, k)*(root(729*a^2*b^10*d^6*z^6 + 729*b^12*d^6*z^6 - 243*a^2*b^8*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - a^6, z, k)*(root(729*a^2*b^10*d^6*z^6 + 729*b^12*d^6*z^6 - 243*a^2*b^8*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - a^6, z, k)*((663552*(8*a^6*d^4 + 4*a^4*b^2*d^4 - 5*a^5*b*d^4*exp(d*x)*exp(root(729*a^2*b^10*d^6*z^6 + 729*b^12*d^6*z^6 - 243*a^2*b^8*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - a^6, z, k))))/b^7 + (1990656*root(729*a^2*b^10*d^6*z^6 + 729*b^12*d^6*z^6 - 243*a^2*b^8*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - a^6, z, k)*(4*a^5*d^5*exp(d*x)*exp(root(729*a^2*b^10*d^6*z^6 + 729*b^12*d^6*z^6 - 243*a^2*b^8*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - a^6, z, k)) - a^4*b*d^5 + 5*a^3*b^2*d^5*exp(d*x)*exp(root(729*a^2*b^10*d^6*z^6 + 729*b^12*d^6*z^6 - 243*a^2*b^8*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - a^6, z, k))))/b^5) + (442368*(4*a^6*b*d^3 + 8*a^7*d^3*exp(d*x)*exp(root(729*a^2*b^10*d^6*z^6 + 729*b^12*d^6*z^6 - 243*a^2*b^8*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - a^6, z, k)) - 5*a^5*b^2*d^3*exp(d*x)*exp(root(729*a^2*b^10*d^6*z^6 + 729*b^12*d^6*z^6 - 243*a^2*b^8*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - a^6, z, k))))/b^9) - (294912*a^6*d^2*(2*b - 5*a*exp(d*x)*exp(root(729*a^2*b^10*d^6*z^6 + 729*b^12*d^6*z^6 - 243*a^2*b^8*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - a^6, z, k))))/b^10) - (24576*a^7*d*(8*a - 5*b*exp(d*x)*exp(root(729*a^2*b^10*d^6*z^6 + 729*b^12*d^6*z^6 - 243*a^2*b^8*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - a^6, z, k))))/b^12) - (32768*a^8*(b - 4*a*exp(d*x)*exp(root(729*a^2*b^10*d^6*z^6 + 729*b^12*d^6*z^6 - 243*a^2*b^8*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - a^6, z, k))))/b^14)*root(729*a^2*b^10*d^6*z^6 + 729*b^12*d^6*z^6 - 243*a^2*b^8*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - a^6, z, k), k, 1, 6) - x/(2*b) - exp(- 2*c - 2*d*x)/(8*b*d) + exp(2*c + 2*d*x)/(8*b*d)","B"
173,1,906,303,23.502206,"\text{Not used}","int(sinh(c + d*x)^4/(a + b*sinh(c + d*x)^3),x)","\left(\sum _{k=1}^6\ln\left(-\mathrm{root}\left(729\,a^2\,b^8\,d^6\,z^6+729\,b^{10}\,d^6\,z^6+243\,a^2\,b^6\,d^4\,z^4-a^4,z,k\right)\,\left(\mathrm{root}\left(729\,a^2\,b^8\,d^6\,z^6+729\,b^{10}\,d^6\,z^6+243\,a^2\,b^6\,d^4\,z^4-a^4,z,k\right)\,\left(\mathrm{root}\left(729\,a^2\,b^8\,d^6\,z^6+729\,b^{10}\,d^6\,z^6+243\,a^2\,b^6\,d^4\,z^4-a^4,z,k\right)\,\left(\mathrm{root}\left(729\,a^2\,b^8\,d^6\,z^6+729\,b^{10}\,d^6\,z^6+243\,a^2\,b^6\,d^4\,z^4-a^4,z,k\right)\,\left(\frac{663552\,\left(4\,a^5\,b\,d^4+16\,a^6\,d^4\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^8\,d^6\,z^6+729\,b^{10}\,d^6\,z^6+243\,a^2\,b^6\,d^4\,z^4-a^4,z,k\right)}+11\,a^4\,b^2\,d^4\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^8\,d^6\,z^6+729\,b^{10}\,d^6\,z^6+243\,a^2\,b^6\,d^4\,z^4-a^4,z,k\right)}\right)}{b^7}+\frac{\mathrm{root}\left(729\,a^2\,b^8\,d^6\,z^6+729\,b^{10}\,d^6\,z^6+243\,a^2\,b^6\,d^4\,z^4-a^4,z,k\right)\,\left(4\,a^5\,d^5\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^8\,d^6\,z^6+729\,b^{10}\,d^6\,z^6+243\,a^2\,b^6\,d^4\,z^4-a^4,z,k\right)}-a^4\,b\,d^5+5\,a^3\,b^2\,d^5\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^8\,d^6\,z^6+729\,b^{10}\,d^6\,z^6+243\,a^2\,b^6\,d^4\,z^4-a^4,z,k\right)}\right)\,1990656}{b^5}\right)-\frac{221184\,\left(8\,a^6\,d^3+a^4\,b^2\,d^3-25\,a^5\,b\,d^3\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^8\,d^6\,z^6+729\,b^{10}\,d^6\,z^6+243\,a^2\,b^6\,d^4\,z^4-a^4,z,k\right)}\right)}{b^8}\right)-\frac{294912\,a^5\,d^2\,\left(b-7\,a\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^8\,d^6\,z^6+729\,b^{10}\,d^6\,z^6+243\,a^2\,b^6\,d^4\,z^4-a^4,z,k\right)}\right)}{b^9}\right)-\frac{196608\,a^6\,d\,\left(b-2\,a\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^8\,d^6\,z^6+729\,b^{10}\,d^6\,z^6+243\,a^2\,b^6\,d^4\,z^4-a^4,z,k\right)}\right)}{b^{11}}\right)+\frac{8192\,a^6\,\left(8\,a-b\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^8\,d^6\,z^6+729\,b^{10}\,d^6\,z^6+243\,a^2\,b^6\,d^4\,z^4-a^4,z,k\right)}\right)}{b^{12}}\right)\,\mathrm{root}\left(729\,a^2\,b^8\,d^6\,z^6+729\,b^{10}\,d^6\,z^6+243\,a^2\,b^6\,d^4\,z^4-a^4,z,k\right)\right)+\frac{{\mathrm{e}}^{c+d\,x}}{2\,b\,d}+\frac{{\mathrm{e}}^{-c-d\,x}}{2\,b\,d}","Not used",1,"symsum(log((8192*a^6*(8*a - b*exp(d*x)*exp(root(729*a^2*b^8*d^6*z^6 + 729*b^10*d^6*z^6 + 243*a^2*b^6*d^4*z^4 - a^4, z, k))))/b^12 - root(729*a^2*b^8*d^6*z^6 + 729*b^10*d^6*z^6 + 243*a^2*b^6*d^4*z^4 - a^4, z, k)*(root(729*a^2*b^8*d^6*z^6 + 729*b^10*d^6*z^6 + 243*a^2*b^6*d^4*z^4 - a^4, z, k)*(root(729*a^2*b^8*d^6*z^6 + 729*b^10*d^6*z^6 + 243*a^2*b^6*d^4*z^4 - a^4, z, k)*(root(729*a^2*b^8*d^6*z^6 + 729*b^10*d^6*z^6 + 243*a^2*b^6*d^4*z^4 - a^4, z, k)*((663552*(4*a^5*b*d^4 + 16*a^6*d^4*exp(d*x)*exp(root(729*a^2*b^8*d^6*z^6 + 729*b^10*d^6*z^6 + 243*a^2*b^6*d^4*z^4 - a^4, z, k)) + 11*a^4*b^2*d^4*exp(d*x)*exp(root(729*a^2*b^8*d^6*z^6 + 729*b^10*d^6*z^6 + 243*a^2*b^6*d^4*z^4 - a^4, z, k))))/b^7 + (1990656*root(729*a^2*b^8*d^6*z^6 + 729*b^10*d^6*z^6 + 243*a^2*b^6*d^4*z^4 - a^4, z, k)*(4*a^5*d^5*exp(d*x)*exp(root(729*a^2*b^8*d^6*z^6 + 729*b^10*d^6*z^6 + 243*a^2*b^6*d^4*z^4 - a^4, z, k)) - a^4*b*d^5 + 5*a^3*b^2*d^5*exp(d*x)*exp(root(729*a^2*b^8*d^6*z^6 + 729*b^10*d^6*z^6 + 243*a^2*b^6*d^4*z^4 - a^4, z, k))))/b^5) - (221184*(8*a^6*d^3 + a^4*b^2*d^3 - 25*a^5*b*d^3*exp(d*x)*exp(root(729*a^2*b^8*d^6*z^6 + 729*b^10*d^6*z^6 + 243*a^2*b^6*d^4*z^4 - a^4, z, k))))/b^8) - (294912*a^5*d^2*(b - 7*a*exp(d*x)*exp(root(729*a^2*b^8*d^6*z^6 + 729*b^10*d^6*z^6 + 243*a^2*b^6*d^4*z^4 - a^4, z, k))))/b^9) - (196608*a^6*d*(b - 2*a*exp(d*x)*exp(root(729*a^2*b^8*d^6*z^6 + 729*b^10*d^6*z^6 + 243*a^2*b^6*d^4*z^4 - a^4, z, k))))/b^11))*root(729*a^2*b^8*d^6*z^6 + 729*b^10*d^6*z^6 + 243*a^2*b^6*d^4*z^4 - a^4, z, k), k, 1, 6) + exp(c + d*x)/(2*b*d) + exp(- c - d*x)/(2*b*d)","B"
174,1,1498,294,10.761564,"\text{Not used}","int(sinh(c + d*x)^3/(a + b*sinh(c + d*x)^3),x)","\left(\sum _{k=1}^6\ln\left(-\frac{a^3\,\left(-4\,a^2\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^6\,d^6\,z^6+729\,b^8\,d^6\,z^6-243\,a^2\,b^4\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-a^2,z,k\right)+d\,x}-\mathrm{root}\left(729\,a^2\,b^6\,d^6\,z^6+729\,b^8\,d^6\,z^6-243\,a^2\,b^4\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-a^2,z,k\right)\,a\,b^2\,d-{\mathrm{root}\left(729\,a^2\,b^6\,d^6\,z^6+729\,b^8\,d^6\,z^6-243\,a^2\,b^4\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-a^2,z,k\right)}^4\,b^6\,d^4\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^6\,d^6\,z^6+729\,b^8\,d^6\,z^6-243\,a^2\,b^4\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-a^2,z,k\right)+d\,x}\,27+{\mathrm{root}\left(729\,a^2\,b^6\,d^6\,z^6+729\,b^8\,d^6\,z^6-243\,a^2\,b^4\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-a^2,z,k\right)}^5\,b^7\,d^5\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^6\,d^6\,z^6+729\,b^8\,d^6\,z^6-243\,a^2\,b^4\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-a^2,z,k\right)+d\,x}\,405+{\mathrm{root}\left(729\,a^2\,b^6\,d^6\,z^6+729\,b^8\,d^6\,z^6-243\,a^2\,b^4\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-a^2,z,k\right)}^2\,a\,b^3\,d^2\,12-{\mathrm{root}\left(729\,a^2\,b^6\,d^6\,z^6+729\,b^8\,d^6\,z^6-243\,a^2\,b^4\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-a^2,z,k\right)}^3\,a\,b^4\,d^3\,54+{\mathrm{root}\left(729\,a^2\,b^6\,d^6\,z^6+729\,b^8\,d^6\,z^6-243\,a^2\,b^4\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-a^2,z,k\right)}^4\,a\,b^5\,d^4\,108-{\mathrm{root}\left(729\,a^2\,b^6\,d^6\,z^6+729\,b^8\,d^6\,z^6-243\,a^2\,b^4\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-a^2,z,k\right)}^5\,a\,b^6\,d^5\,81+\mathrm{root}\left(729\,a^2\,b^6\,d^6\,z^6+729\,b^8\,d^6\,z^6-243\,a^2\,b^4\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-a^2,z,k\right)\,a^2\,b\,d\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^6\,d^6\,z^6+729\,b^8\,d^6\,z^6-243\,a^2\,b^4\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-a^2,z,k\right)+d\,x}\,20+{\mathrm{root}\left(729\,a^2\,b^6\,d^6\,z^6+729\,b^8\,d^6\,z^6-243\,a^2\,b^4\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-a^2,z,k\right)}^2\,a^2\,b^2\,d^2\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^6\,d^6\,z^6+729\,b^8\,d^6\,z^6-243\,a^2\,b^4\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-a^2,z,k\right)+d\,x}\,24-{\mathrm{root}\left(729\,a^2\,b^6\,d^6\,z^6+729\,b^8\,d^6\,z^6-243\,a^2\,b^4\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-a^2,z,k\right)}^3\,a^2\,b^3\,d^3\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^6\,d^6\,z^6+729\,b^8\,d^6\,z^6-243\,a^2\,b^4\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-a^2,z,k\right)+d\,x}\,216+{\mathrm{root}\left(729\,a^2\,b^6\,d^6\,z^6+729\,b^8\,d^6\,z^6-243\,a^2\,b^4\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-a^2,z,k\right)}^4\,a^2\,b^4\,d^4\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^6\,d^6\,z^6+729\,b^8\,d^6\,z^6-243\,a^2\,b^4\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-a^2,z,k\right)+d\,x}\,108+{\mathrm{root}\left(729\,a^2\,b^6\,d^6\,z^6+729\,b^8\,d^6\,z^6-243\,a^2\,b^4\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-a^2,z,k\right)}^5\,a^2\,b^5\,d^5\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^6\,d^6\,z^6+729\,b^8\,d^6\,z^6-243\,a^2\,b^4\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-a^2,z,k\right)+d\,x}\,324\right)\,24576}{b^{10}}\right)\,\mathrm{root}\left(729\,a^2\,b^6\,d^6\,z^6+729\,b^8\,d^6\,z^6-243\,a^2\,b^4\,d^4\,z^4+27\,a^2\,b^2\,d^2\,z^2-a^2,z,k\right)\right)+\frac{x}{b}","Not used",1,"symsum(log(-(24576*a^3*(405*root(729*a^2*b^6*d^6*z^6 + 729*b^8*d^6*z^6 - 243*a^2*b^4*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - a^2, z, k)^5*b^7*d^5*exp(root(729*a^2*b^6*d^6*z^6 + 729*b^8*d^6*z^6 - 243*a^2*b^4*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - a^2, z, k) + d*x) - root(729*a^2*b^6*d^6*z^6 + 729*b^8*d^6*z^6 - 243*a^2*b^4*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - a^2, z, k)*a*b^2*d - 27*root(729*a^2*b^6*d^6*z^6 + 729*b^8*d^6*z^6 - 243*a^2*b^4*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - a^2, z, k)^4*b^6*d^4*exp(root(729*a^2*b^6*d^6*z^6 + 729*b^8*d^6*z^6 - 243*a^2*b^4*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - a^2, z, k) + d*x) - 4*a^2*exp(root(729*a^2*b^6*d^6*z^6 + 729*b^8*d^6*z^6 - 243*a^2*b^4*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - a^2, z, k) + d*x) + 12*root(729*a^2*b^6*d^6*z^6 + 729*b^8*d^6*z^6 - 243*a^2*b^4*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - a^2, z, k)^2*a*b^3*d^2 - 54*root(729*a^2*b^6*d^6*z^6 + 729*b^8*d^6*z^6 - 243*a^2*b^4*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - a^2, z, k)^3*a*b^4*d^3 + 108*root(729*a^2*b^6*d^6*z^6 + 729*b^8*d^6*z^6 - 243*a^2*b^4*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - a^2, z, k)^4*a*b^5*d^4 - 81*root(729*a^2*b^6*d^6*z^6 + 729*b^8*d^6*z^6 - 243*a^2*b^4*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - a^2, z, k)^5*a*b^6*d^5 + 20*root(729*a^2*b^6*d^6*z^6 + 729*b^8*d^6*z^6 - 243*a^2*b^4*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - a^2, z, k)*a^2*b*d*exp(root(729*a^2*b^6*d^6*z^6 + 729*b^8*d^6*z^6 - 243*a^2*b^4*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - a^2, z, k) + d*x) + 24*root(729*a^2*b^6*d^6*z^6 + 729*b^8*d^6*z^6 - 243*a^2*b^4*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - a^2, z, k)^2*a^2*b^2*d^2*exp(root(729*a^2*b^6*d^6*z^6 + 729*b^8*d^6*z^6 - 243*a^2*b^4*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - a^2, z, k) + d*x) - 216*root(729*a^2*b^6*d^6*z^6 + 729*b^8*d^6*z^6 - 243*a^2*b^4*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - a^2, z, k)^3*a^2*b^3*d^3*exp(root(729*a^2*b^6*d^6*z^6 + 729*b^8*d^6*z^6 - 243*a^2*b^4*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - a^2, z, k) + d*x) + 108*root(729*a^2*b^6*d^6*z^6 + 729*b^8*d^6*z^6 - 243*a^2*b^4*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - a^2, z, k)^4*a^2*b^4*d^4*exp(root(729*a^2*b^6*d^6*z^6 + 729*b^8*d^6*z^6 - 243*a^2*b^4*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - a^2, z, k) + d*x) + 324*root(729*a^2*b^6*d^6*z^6 + 729*b^8*d^6*z^6 - 243*a^2*b^4*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - a^2, z, k)^5*a^2*b^5*d^5*exp(root(729*a^2*b^6*d^6*z^6 + 729*b^8*d^6*z^6 - 243*a^2*b^4*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - a^2, z, k) + d*x)))/b^10)*root(729*a^2*b^6*d^6*z^6 + 729*b^8*d^6*z^6 - 243*a^2*b^4*d^4*z^4 + 27*a^2*b^2*d^2*z^2 - a^2, z, k), k, 1, 6) + x/b","B"
175,1,932,262,11.126166,"\text{Not used}","int(sinh(c + d*x)^2/(a + b*sinh(c + d*x)^3),x)","\sum _{k=1}^6\ln\left(\mathrm{root}\left(729\,a^2\,b^4\,d^6\,z^6+729\,b^6\,d^6\,z^6-243\,b^4\,d^4\,z^4+27\,b^2\,d^2\,z^2-1,z,k\right)\,\left(\mathrm{root}\left(729\,a^2\,b^4\,d^6\,z^6+729\,b^6\,d^6\,z^6-243\,b^4\,d^4\,z^4+27\,b^2\,d^2\,z^2-1,z,k\right)\,\left(\mathrm{root}\left(729\,a^2\,b^4\,d^6\,z^6+729\,b^6\,d^6\,z^6-243\,b^4\,d^4\,z^4+27\,b^2\,d^2\,z^2-1,z,k\right)\,\left(\mathrm{root}\left(729\,a^2\,b^4\,d^6\,z^6+729\,b^6\,d^6\,z^6-243\,b^4\,d^4\,z^4+27\,b^2\,d^2\,z^2-1,z,k\right)\,\left(\frac{663552\,\left(8\,a^5\,d^4+4\,a^3\,b^2\,d^4-5\,a^4\,b\,d^4\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^4\,d^6\,z^6+729\,b^6\,d^6\,z^6-243\,b^4\,d^4\,z^4+27\,b^2\,d^2\,z^2-1,z,k\right)}\right)}{b^6}-\frac{\mathrm{root}\left(729\,a^2\,b^4\,d^6\,z^6+729\,b^6\,d^6\,z^6-243\,b^4\,d^4\,z^4+27\,b^2\,d^2\,z^2-1,z,k\right)\,\left(4\,a^5\,d^5\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^4\,d^6\,z^6+729\,b^6\,d^6\,z^6-243\,b^4\,d^4\,z^4+27\,b^2\,d^2\,z^2-1,z,k\right)}-a^4\,b\,d^5+5\,a^3\,b^2\,d^5\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^4\,d^6\,z^6+729\,b^6\,d^6\,z^6-243\,b^4\,d^4\,z^4+27\,b^2\,d^2\,z^2-1,z,k\right)}\right)\,1990656}{b^5}\right)-\frac{442368\,\left(4\,a^4\,b\,d^3+8\,a^5\,d^3\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^4\,d^6\,z^6+729\,b^6\,d^6\,z^6-243\,b^4\,d^4\,z^4+27\,b^2\,d^2\,z^2-1,z,k\right)}-5\,a^3\,b^2\,d^3\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^4\,d^6\,z^6+729\,b^6\,d^6\,z^6-243\,b^4\,d^4\,z^4+27\,b^2\,d^2\,z^2-1,z,k\right)}\right)}{b^7}\right)-\frac{294912\,a^3\,d^2\,\left(2\,b-5\,a\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^4\,d^6\,z^6+729\,b^6\,d^6\,z^6-243\,b^4\,d^4\,z^4+27\,b^2\,d^2\,z^2-1,z,k\right)}\right)}{b^7}\right)+\frac{24576\,a^3\,d\,\left(8\,a-5\,b\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^4\,d^6\,z^6+729\,b^6\,d^6\,z^6-243\,b^4\,d^4\,z^4+27\,b^2\,d^2\,z^2-1,z,k\right)}\right)}{b^8}\right)+\frac{32768\,a^3\,\left(b-4\,a\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^2\,b^4\,d^6\,z^6+729\,b^6\,d^6\,z^6-243\,b^4\,d^4\,z^4+27\,b^2\,d^2\,z^2-1,z,k\right)}\right)}{b^9}\right)\,\mathrm{root}\left(729\,a^2\,b^4\,d^6\,z^6+729\,b^6\,d^6\,z^6-243\,b^4\,d^4\,z^4+27\,b^2\,d^2\,z^2-1,z,k\right)","Not used",1,"symsum(log(root(729*a^2*b^4*d^6*z^6 + 729*b^6*d^6*z^6 - 243*b^4*d^4*z^4 + 27*b^2*d^2*z^2 - 1, z, k)*(root(729*a^2*b^4*d^6*z^6 + 729*b^6*d^6*z^6 - 243*b^4*d^4*z^4 + 27*b^2*d^2*z^2 - 1, z, k)*(root(729*a^2*b^4*d^6*z^6 + 729*b^6*d^6*z^6 - 243*b^4*d^4*z^4 + 27*b^2*d^2*z^2 - 1, z, k)*(root(729*a^2*b^4*d^6*z^6 + 729*b^6*d^6*z^6 - 243*b^4*d^4*z^4 + 27*b^2*d^2*z^2 - 1, z, k)*((663552*(8*a^5*d^4 + 4*a^3*b^2*d^4 - 5*a^4*b*d^4*exp(d*x)*exp(root(729*a^2*b^4*d^6*z^6 + 729*b^6*d^6*z^6 - 243*b^4*d^4*z^4 + 27*b^2*d^2*z^2 - 1, z, k))))/b^6 - (1990656*root(729*a^2*b^4*d^6*z^6 + 729*b^6*d^6*z^6 - 243*b^4*d^4*z^4 + 27*b^2*d^2*z^2 - 1, z, k)*(4*a^5*d^5*exp(d*x)*exp(root(729*a^2*b^4*d^6*z^6 + 729*b^6*d^6*z^6 - 243*b^4*d^4*z^4 + 27*b^2*d^2*z^2 - 1, z, k)) - a^4*b*d^5 + 5*a^3*b^2*d^5*exp(d*x)*exp(root(729*a^2*b^4*d^6*z^6 + 729*b^6*d^6*z^6 - 243*b^4*d^4*z^4 + 27*b^2*d^2*z^2 - 1, z, k))))/b^5) - (442368*(4*a^4*b*d^3 + 8*a^5*d^3*exp(d*x)*exp(root(729*a^2*b^4*d^6*z^6 + 729*b^6*d^6*z^6 - 243*b^4*d^4*z^4 + 27*b^2*d^2*z^2 - 1, z, k)) - 5*a^3*b^2*d^3*exp(d*x)*exp(root(729*a^2*b^4*d^6*z^6 + 729*b^6*d^6*z^6 - 243*b^4*d^4*z^4 + 27*b^2*d^2*z^2 - 1, z, k))))/b^7) - (294912*a^3*d^2*(2*b - 5*a*exp(d*x)*exp(root(729*a^2*b^4*d^6*z^6 + 729*b^6*d^6*z^6 - 243*b^4*d^4*z^4 + 27*b^2*d^2*z^2 - 1, z, k))))/b^7) + (24576*a^3*d*(8*a - 5*b*exp(d*x)*exp(root(729*a^2*b^4*d^6*z^6 + 729*b^6*d^6*z^6 - 243*b^4*d^4*z^4 + 27*b^2*d^2*z^2 - 1, z, k))))/b^8) + (32768*a^3*(b - 4*a*exp(d*x)*exp(root(729*a^2*b^4*d^6*z^6 + 729*b^6*d^6*z^6 - 243*b^4*d^4*z^4 + 27*b^2*d^2*z^2 - 1, z, k))))/b^9)*root(729*a^2*b^4*d^6*z^6 + 729*b^6*d^6*z^6 - 243*b^4*d^4*z^4 + 27*b^2*d^2*z^2 - 1, z, k), k, 1, 6)","B"
176,1,857,290,21.839401,"\text{Not used}","int(sinh(c + d*x)/(a + b*sinh(c + d*x)^3),x)","\sum _{k=1}^6\ln\left(\mathrm{root}\left(729\,a^4\,b^2\,d^6\,z^6+729\,a^2\,b^4\,d^6\,z^6+243\,a^2\,b^2\,d^4\,z^4-1,z,k\right)\,\left(\mathrm{root}\left(729\,a^4\,b^2\,d^6\,z^6+729\,a^2\,b^4\,d^6\,z^6+243\,a^2\,b^2\,d^4\,z^4-1,z,k\right)\,\left(\mathrm{root}\left(729\,a^4\,b^2\,d^6\,z^6+729\,a^2\,b^4\,d^6\,z^6+243\,a^2\,b^2\,d^4\,z^4-1,z,k\right)\,\left(\mathrm{root}\left(729\,a^4\,b^2\,d^6\,z^6+729\,a^2\,b^4\,d^6\,z^6+243\,a^2\,b^2\,d^4\,z^4-1,z,k\right)\,\left(\frac{\left(4\,a^4\,b\,d^4+a^5\,d^4\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^4\,b^2\,d^6\,z^6+729\,a^2\,b^4\,d^6\,z^6+243\,a^2\,b^2\,d^4\,z^4-1,z,k\right)}\,16+a^3\,b^2\,d^4\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^4\,b^2\,d^6\,z^6+729\,a^2\,b^4\,d^6\,z^6+243\,a^2\,b^2\,d^4\,z^4-1,z,k\right)}\,11\right)\,663552}{b^6}-\frac{\mathrm{root}\left(729\,a^4\,b^2\,d^6\,z^6+729\,a^2\,b^4\,d^6\,z^6+243\,a^2\,b^2\,d^4\,z^4-1,z,k\right)\,\left(-a^4\,b\,d^5+a^5\,d^5\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^4\,b^2\,d^6\,z^6+729\,a^2\,b^4\,d^6\,z^6+243\,a^2\,b^2\,d^4\,z^4-1,z,k\right)}\,4+a^3\,b^2\,d^5\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^4\,b^2\,d^6\,z^6+729\,a^2\,b^4\,d^6\,z^6+243\,a^2\,b^2\,d^4\,z^4-1,z,k\right)}\,5\right)\,1990656}{b^5}\right)+\frac{\left(8\,a^4\,d^3+a^2\,b^2\,d^3-a^3\,b\,d^3\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^4\,b^2\,d^6\,z^6+729\,a^2\,b^4\,d^6\,z^6+243\,a^2\,b^2\,d^4\,z^4-1,z,k\right)}\,25\right)\,221184}{b^6}\right)-\frac{a^2\,d^2\,\left(b-a\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^4\,b^2\,d^6\,z^6+729\,a^2\,b^4\,d^6\,z^6+243\,a^2\,b^2\,d^4\,z^4-1,z,k\right)}\,7\right)\,294912}{b^6}\right)+\frac{a^2\,d\,\left(b-a\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^4\,b^2\,d^6\,z^6+729\,a^2\,b^4\,d^6\,z^6+243\,a^2\,b^2\,d^4\,z^4-1,z,k\right)}\,2\right)\,196608}{b^7}\right)-\frac{a\,\left(8\,a-b\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^4\,b^2\,d^6\,z^6+729\,a^2\,b^4\,d^6\,z^6+243\,a^2\,b^2\,d^4\,z^4-1,z,k\right)}\right)\,8192}{b^7}\right)\,\mathrm{root}\left(729\,a^4\,b^2\,d^6\,z^6+729\,a^2\,b^4\,d^6\,z^6+243\,a^2\,b^2\,d^4\,z^4-1,z,k\right)","Not used",1,"symsum(log(root(729*a^4*b^2*d^6*z^6 + 729*a^2*b^4*d^6*z^6 + 243*a^2*b^2*d^4*z^4 - 1, z, k)*(root(729*a^4*b^2*d^6*z^6 + 729*a^2*b^4*d^6*z^6 + 243*a^2*b^2*d^4*z^4 - 1, z, k)*(root(729*a^4*b^2*d^6*z^6 + 729*a^2*b^4*d^6*z^6 + 243*a^2*b^2*d^4*z^4 - 1, z, k)*(root(729*a^4*b^2*d^6*z^6 + 729*a^2*b^4*d^6*z^6 + 243*a^2*b^2*d^4*z^4 - 1, z, k)*((663552*(4*a^4*b*d^4 + 16*a^5*d^4*exp(d*x)*exp(root(729*a^4*b^2*d^6*z^6 + 729*a^2*b^4*d^6*z^6 + 243*a^2*b^2*d^4*z^4 - 1, z, k)) + 11*a^3*b^2*d^4*exp(d*x)*exp(root(729*a^4*b^2*d^6*z^6 + 729*a^2*b^4*d^6*z^6 + 243*a^2*b^2*d^4*z^4 - 1, z, k))))/b^6 - (1990656*root(729*a^4*b^2*d^6*z^6 + 729*a^2*b^4*d^6*z^6 + 243*a^2*b^2*d^4*z^4 - 1, z, k)*(4*a^5*d^5*exp(d*x)*exp(root(729*a^4*b^2*d^6*z^6 + 729*a^2*b^4*d^6*z^6 + 243*a^2*b^2*d^4*z^4 - 1, z, k)) - a^4*b*d^5 + 5*a^3*b^2*d^5*exp(d*x)*exp(root(729*a^4*b^2*d^6*z^6 + 729*a^2*b^4*d^6*z^6 + 243*a^2*b^2*d^4*z^4 - 1, z, k))))/b^5) + (221184*(8*a^4*d^3 + a^2*b^2*d^3 - 25*a^3*b*d^3*exp(d*x)*exp(root(729*a^4*b^2*d^6*z^6 + 729*a^2*b^4*d^6*z^6 + 243*a^2*b^2*d^4*z^4 - 1, z, k))))/b^6) - (294912*a^2*d^2*(b - 7*a*exp(d*x)*exp(root(729*a^4*b^2*d^6*z^6 + 729*a^2*b^4*d^6*z^6 + 243*a^2*b^2*d^4*z^4 - 1, z, k))))/b^6) + (196608*a^2*d*(b - 2*a*exp(d*x)*exp(root(729*a^4*b^2*d^6*z^6 + 729*a^2*b^4*d^6*z^6 + 243*a^2*b^2*d^4*z^4 - 1, z, k))))/b^7) - (8192*a*(8*a - b*exp(d*x)*exp(root(729*a^4*b^2*d^6*z^6 + 729*a^2*b^4*d^6*z^6 + 243*a^2*b^2*d^4*z^4 - 1, z, k))))/b^7)*root(729*a^4*b^2*d^6*z^6 + 729*a^2*b^4*d^6*z^6 + 243*a^2*b^2*d^4*z^4 - 1, z, k), k, 1, 6)","B"
177,1,1261,280,9.485578,"\text{Not used}","int(1/(a + b*sinh(c + d*x)^3),x)","\sum _{k=1}^6\ln\left(\frac{\left(-4\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^4\,b^2\,d^6\,z^6+729\,a^6\,d^6\,z^6-243\,a^4\,d^4\,z^4+27\,a^2\,d^2\,z^2-1,z,k\right)+d\,x}+\mathrm{root}\left(729\,a^4\,b^2\,d^6\,z^6+729\,a^6\,d^6\,z^6-243\,a^4\,d^4\,z^4+27\,a^2\,d^2\,z^2-1,z,k\right)\,b\,d+{\mathrm{root}\left(729\,a^4\,b^2\,d^6\,z^6+729\,a^6\,d^6\,z^6-243\,a^4\,d^4\,z^4+27\,a^2\,d^2\,z^2-1,z,k\right)}^2\,a\,b\,d^2\,12-\mathrm{root}\left(729\,a^4\,b^2\,d^6\,z^6+729\,a^6\,d^6\,z^6-243\,a^4\,d^4\,z^4+27\,a^2\,d^2\,z^2-1,z,k\right)\,a\,d\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^4\,b^2\,d^6\,z^6+729\,a^6\,d^6\,z^6-243\,a^4\,d^4\,z^4+27\,a^2\,d^2\,z^2-1,z,k\right)+d\,x}\,20+{\mathrm{root}\left(729\,a^4\,b^2\,d^6\,z^6+729\,a^6\,d^6\,z^6-243\,a^4\,d^4\,z^4+27\,a^2\,d^2\,z^2-1,z,k\right)}^2\,a^2\,d^2\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^4\,b^2\,d^6\,z^6+729\,a^6\,d^6\,z^6-243\,a^4\,d^4\,z^4+27\,a^2\,d^2\,z^2-1,z,k\right)+d\,x}\,24+{\mathrm{root}\left(729\,a^4\,b^2\,d^6\,z^6+729\,a^6\,d^6\,z^6-243\,a^4\,d^4\,z^4+27\,a^2\,d^2\,z^2-1,z,k\right)}^3\,a^3\,d^3\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^4\,b^2\,d^6\,z^6+729\,a^6\,d^6\,z^6-243\,a^4\,d^4\,z^4+27\,a^2\,d^2\,z^2-1,z,k\right)+d\,x}\,216+{\mathrm{root}\left(729\,a^4\,b^2\,d^6\,z^6+729\,a^6\,d^6\,z^6-243\,a^4\,d^4\,z^4+27\,a^2\,d^2\,z^2-1,z,k\right)}^4\,a^4\,d^4\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^4\,b^2\,d^6\,z^6+729\,a^6\,d^6\,z^6-243\,a^4\,d^4\,z^4+27\,a^2\,d^2\,z^2-1,z,k\right)+d\,x}\,108-{\mathrm{root}\left(729\,a^4\,b^2\,d^6\,z^6+729\,a^6\,d^6\,z^6-243\,a^4\,d^4\,z^4+27\,a^2\,d^2\,z^2-1,z,k\right)}^5\,a^5\,d^5\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^4\,b^2\,d^6\,z^6+729\,a^6\,d^6\,z^6-243\,a^4\,d^4\,z^4+27\,a^2\,d^2\,z^2-1,z,k\right)+d\,x}\,324+{\mathrm{root}\left(729\,a^4\,b^2\,d^6\,z^6+729\,a^6\,d^6\,z^6-243\,a^4\,d^4\,z^4+27\,a^2\,d^2\,z^2-1,z,k\right)}^3\,a^2\,b\,d^3\,54+{\mathrm{root}\left(729\,a^4\,b^2\,d^6\,z^6+729\,a^6\,d^6\,z^6-243\,a^4\,d^4\,z^4+27\,a^2\,d^2\,z^2-1,z,k\right)}^4\,a^3\,b\,d^4\,108+{\mathrm{root}\left(729\,a^4\,b^2\,d^6\,z^6+729\,a^6\,d^6\,z^6-243\,a^4\,d^4\,z^4+27\,a^2\,d^2\,z^2-1,z,k\right)}^5\,a^4\,b\,d^5\,81-{\mathrm{root}\left(729\,a^4\,b^2\,d^6\,z^6+729\,a^6\,d^6\,z^6-243\,a^4\,d^4\,z^4+27\,a^2\,d^2\,z^2-1,z,k\right)}^4\,a^2\,b^2\,d^4\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^4\,b^2\,d^6\,z^6+729\,a^6\,d^6\,z^6-243\,a^4\,d^4\,z^4+27\,a^2\,d^2\,z^2-1,z,k\right)+d\,x}\,27-{\mathrm{root}\left(729\,a^4\,b^2\,d^6\,z^6+729\,a^6\,d^6\,z^6-243\,a^4\,d^4\,z^4+27\,a^2\,d^2\,z^2-1,z,k\right)}^5\,a^3\,b^2\,d^5\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^4\,b^2\,d^6\,z^6+729\,a^6\,d^6\,z^6-243\,a^4\,d^4\,z^4+27\,a^2\,d^2\,z^2-1,z,k\right)+d\,x}\,405\right)\,24576}{b^5}\right)\,\mathrm{root}\left(729\,a^4\,b^2\,d^6\,z^6+729\,a^6\,d^6\,z^6-243\,a^4\,d^4\,z^4+27\,a^2\,d^2\,z^2-1,z,k\right)","Not used",1,"symsum(log((24576*(root(729*a^4*b^2*d^6*z^6 + 729*a^6*d^6*z^6 - 243*a^4*d^4*z^4 + 27*a^2*d^2*z^2 - 1, z, k)*b*d - 4*exp(root(729*a^4*b^2*d^6*z^6 + 729*a^6*d^6*z^6 - 243*a^4*d^4*z^4 + 27*a^2*d^2*z^2 - 1, z, k) + d*x) + 12*root(729*a^4*b^2*d^6*z^6 + 729*a^6*d^6*z^6 - 243*a^4*d^4*z^4 + 27*a^2*d^2*z^2 - 1, z, k)^2*a*b*d^2 - 20*root(729*a^4*b^2*d^6*z^6 + 729*a^6*d^6*z^6 - 243*a^4*d^4*z^4 + 27*a^2*d^2*z^2 - 1, z, k)*a*d*exp(root(729*a^4*b^2*d^6*z^6 + 729*a^6*d^6*z^6 - 243*a^4*d^4*z^4 + 27*a^2*d^2*z^2 - 1, z, k) + d*x) + 24*root(729*a^4*b^2*d^6*z^6 + 729*a^6*d^6*z^6 - 243*a^4*d^4*z^4 + 27*a^2*d^2*z^2 - 1, z, k)^2*a^2*d^2*exp(root(729*a^4*b^2*d^6*z^6 + 729*a^6*d^6*z^6 - 243*a^4*d^4*z^4 + 27*a^2*d^2*z^2 - 1, z, k) + d*x) + 216*root(729*a^4*b^2*d^6*z^6 + 729*a^6*d^6*z^6 - 243*a^4*d^4*z^4 + 27*a^2*d^2*z^2 - 1, z, k)^3*a^3*d^3*exp(root(729*a^4*b^2*d^6*z^6 + 729*a^6*d^6*z^6 - 243*a^4*d^4*z^4 + 27*a^2*d^2*z^2 - 1, z, k) + d*x) + 108*root(729*a^4*b^2*d^6*z^6 + 729*a^6*d^6*z^6 - 243*a^4*d^4*z^4 + 27*a^2*d^2*z^2 - 1, z, k)^4*a^4*d^4*exp(root(729*a^4*b^2*d^6*z^6 + 729*a^6*d^6*z^6 - 243*a^4*d^4*z^4 + 27*a^2*d^2*z^2 - 1, z, k) + d*x) - 324*root(729*a^4*b^2*d^6*z^6 + 729*a^6*d^6*z^6 - 243*a^4*d^4*z^4 + 27*a^2*d^2*z^2 - 1, z, k)^5*a^5*d^5*exp(root(729*a^4*b^2*d^6*z^6 + 729*a^6*d^6*z^6 - 243*a^4*d^4*z^4 + 27*a^2*d^2*z^2 - 1, z, k) + d*x) + 54*root(729*a^4*b^2*d^6*z^6 + 729*a^6*d^6*z^6 - 243*a^4*d^4*z^4 + 27*a^2*d^2*z^2 - 1, z, k)^3*a^2*b*d^3 + 108*root(729*a^4*b^2*d^6*z^6 + 729*a^6*d^6*z^6 - 243*a^4*d^4*z^4 + 27*a^2*d^2*z^2 - 1, z, k)^4*a^3*b*d^4 + 81*root(729*a^4*b^2*d^6*z^6 + 729*a^6*d^6*z^6 - 243*a^4*d^4*z^4 + 27*a^2*d^2*z^2 - 1, z, k)^5*a^4*b*d^5 - 27*root(729*a^4*b^2*d^6*z^6 + 729*a^6*d^6*z^6 - 243*a^4*d^4*z^4 + 27*a^2*d^2*z^2 - 1, z, k)^4*a^2*b^2*d^4*exp(root(729*a^4*b^2*d^6*z^6 + 729*a^6*d^6*z^6 - 243*a^4*d^4*z^4 + 27*a^2*d^2*z^2 - 1, z, k) + d*x) - 405*root(729*a^4*b^2*d^6*z^6 + 729*a^6*d^6*z^6 - 243*a^4*d^4*z^4 + 27*a^2*d^2*z^2 - 1, z, k)^5*a^3*b^2*d^5*exp(root(729*a^4*b^2*d^6*z^6 + 729*a^6*d^6*z^6 - 243*a^4*d^4*z^4 + 27*a^2*d^2*z^2 - 1, z, k) + d*x)))/b^5)*root(729*a^4*b^2*d^6*z^6 + 729*a^6*d^6*z^6 - 243*a^4*d^4*z^4 + 27*a^2*d^2*z^2 - 1, z, k), k, 1, 6)","B"
178,1,2970,286,55.941512,"\text{Not used}","int(1/(sinh(c + d*x)*(a + b*sinh(c + d*x)^3)),x)","\left(\sum _{k=1}^6\ln\left(-\frac{-1073741824\,b^2+2147483648\,a\,b\,{\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)+d\,x}-{\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\,d^4\,86973087744+{\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\,d^6\,86973087744+\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^3\,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^2\,b\,d\,3221225472+{\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^2\,d^2\,18589155328-{\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^3\,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)}^4\,a^4\,b^2\,d^4\,88181047296+{\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^3\,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)}^6\,a^6\,b^2\,d^6\,70665633792-{\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^3\,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)}^3\,a^5\,d^3\,{\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)+d\,x}\,57982058496-{\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\,d^5\,{\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)+d\,x}\,333396836352+{\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\,d^7\,{\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)+d\,x}\,391378894848-{\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\,d^3\,17716740096+{\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\,d^5\,30802968576-{\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\,d^7\,40768634880+{\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^3\,d^2\,{\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)+d\,x}\,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^3\,b\,d^2\,{\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)+d\,x}\,16642998272+{\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\,d^4\,{\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)+d\,x}\,36238786560+{\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\,d^6\,{\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)+d\,x}\,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)\,a\,b^2\,d\,{\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)+d\,x}\,5637144576+{\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^2\,d^3\,{\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)+d\,x}\,100763959296-{\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^3\,d^4\,{\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)+d\,x}\,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)}^5\,a^5\,b^2\,d^5\,{\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)+d\,x}\,494659436544+{\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^3\,d^6\,{\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)+d\,x}\,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)}^7\,a^7\,b^2\,d^7\,{\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)+d\,x}\,399532621824}{b^9}\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",1,"symsum(log(-(2147483648*a*b*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) + d*x) - 1073741824*b^2 - 86973087744*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*d^4 + 86973087744*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*d^6 + 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^3*d + 3221225472*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*d + 18589155328*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^2*d^2 - 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^3*d^3 - 88181047296*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^2*d^4 + 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^3*d^5 + 70665633792*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^2*d^6 - 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^3*d^7 - 57982058496*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*d^3*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) + d*x) - 333396836352*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*d^5*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) + d*x) + 391378894848*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*d^7*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) + d*x) - 17716740096*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*d^3 + 30802968576*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*d^5 - 40768634880*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*d^7 + 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^3*d^2*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) + d*x) - 16642998272*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*d^2*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) + d*x) + 36238786560*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*d^4*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) + d*x) + 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^7*b*d^6*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) + d*x) - 5637144576*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^2*d*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) + d*x) + 100763959296*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^2*d^3*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) + d*x) - 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^3*d^4*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) + d*x) - 494659436544*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^2*d^5*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) + d*x) + 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^3*d^6*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) + d*x) + 399532621824*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^2*d^7*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) + d*x))/b^9)*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"
179,1,1293,304,23.058793,"\text{Not used}","int(1/(sinh(c + d*x)^2*(a + b*sinh(c + d*x)^3)),x)","\left(\sum _{k=1}^6\ln\left(-\frac{8192\,b^4\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^8\,b^2\,d^6\,z^6+729\,a^{10}\,d^6\,z^6+243\,a^6\,b^2\,d^4\,z^4-b^4,z,k\right)+d\,x}-65536\,a\,b^3-{\mathrm{root}\left(729\,a^8\,b^2\,d^6\,z^6+729\,a^{10}\,d^6\,z^6+243\,a^6\,b^2\,d^4\,z^4-b^4,z,k\right)}^2\,a^3\,b^3\,d^2\,294912-{\mathrm{root}\left(729\,a^8\,b^2\,d^6\,z^6+729\,a^{10}\,d^6\,z^6+243\,a^6\,b^2\,d^4\,z^4-b^4,z,k\right)}^3\,a^4\,b^3\,d^3\,221184-\mathrm{root}\left(729\,a^8\,b^2\,d^6\,z^6+729\,a^{10}\,d^6\,z^6+243\,a^6\,b^2\,d^4\,z^4-b^4,z,k\right)\,a^2\,b^3\,d\,196608+{\mathrm{root}\left(729\,a^8\,b^2\,d^6\,z^6+729\,a^{10}\,d^6\,z^6+243\,a^6\,b^2\,d^4\,z^4-b^4,z,k\right)}^4\,a^8\,d^4\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^8\,b^2\,d^6\,z^6+729\,a^{10}\,d^6\,z^6+243\,a^6\,b^2\,d^4\,z^4-b^4,z,k\right)+d\,x}\,10616832+{\mathrm{root}\left(729\,a^8\,b^2\,d^6\,z^6+729\,a^{10}\,d^6\,z^6+243\,a^6\,b^2\,d^4\,z^4-b^4,z,k\right)}^5\,a^9\,d^5\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^8\,b^2\,d^6\,z^6+729\,a^{10}\,d^6\,z^6+243\,a^6\,b^2\,d^4\,z^4-b^4,z,k\right)+d\,x}\,7962624-{\mathrm{root}\left(729\,a^8\,b^2\,d^6\,z^6+729\,a^{10}\,d^6\,z^6+243\,a^6\,b^2\,d^4\,z^4-b^4,z,k\right)}^3\,a^6\,b\,d^3\,1769472+{\mathrm{root}\left(729\,a^8\,b^2\,d^6\,z^6+729\,a^{10}\,d^6\,z^6+243\,a^6\,b^2\,d^4\,z^4-b^4,z,k\right)}^4\,a^7\,b\,d^4\,2654208-{\mathrm{root}\left(729\,a^8\,b^2\,d^6\,z^6+729\,a^{10}\,d^6\,z^6+243\,a^6\,b^2\,d^4\,z^4-b^4,z,k\right)}^5\,a^8\,b\,d^5\,1990656+{\mathrm{root}\left(729\,a^8\,b^2\,d^6\,z^6+729\,a^{10}\,d^6\,z^6+243\,a^6\,b^2\,d^4\,z^4-b^4,z,k\right)}^2\,a^4\,b^2\,d^2\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^8\,b^2\,d^6\,z^6+729\,a^{10}\,d^6\,z^6+243\,a^6\,b^2\,d^4\,z^4-b^4,z,k\right)+d\,x}\,2064384+{\mathrm{root}\left(729\,a^8\,b^2\,d^6\,z^6+729\,a^{10}\,d^6\,z^6+243\,a^6\,b^2\,d^4\,z^4-b^4,z,k\right)}^3\,a^5\,b^2\,d^3\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^8\,b^2\,d^6\,z^6+729\,a^{10}\,d^6\,z^6+243\,a^6\,b^2\,d^4\,z^4-b^4,z,k\right)+d\,x}\,5529600+{\mathrm{root}\left(729\,a^8\,b^2\,d^6\,z^6+729\,a^{10}\,d^6\,z^6+243\,a^6\,b^2\,d^4\,z^4-b^4,z,k\right)}^4\,a^6\,b^2\,d^4\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^8\,b^2\,d^6\,z^6+729\,a^{10}\,d^6\,z^6+243\,a^6\,b^2\,d^4\,z^4-b^4,z,k\right)+d\,x}\,7299072+{\mathrm{root}\left(729\,a^8\,b^2\,d^6\,z^6+729\,a^{10}\,d^6\,z^6+243\,a^6\,b^2\,d^4\,z^4-b^4,z,k\right)}^5\,a^7\,b^2\,d^5\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^8\,b^2\,d^6\,z^6+729\,a^{10}\,d^6\,z^6+243\,a^6\,b^2\,d^4\,z^4-b^4,z,k\right)+d\,x}\,9953280+\mathrm{root}\left(729\,a^8\,b^2\,d^6\,z^6+729\,a^{10}\,d^6\,z^6+243\,a^6\,b^2\,d^4\,z^4-b^4,z,k\right)\,a^3\,b^2\,d\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^8\,b^2\,d^6\,z^6+729\,a^{10}\,d^6\,z^6+243\,a^6\,b^2\,d^4\,z^4-b^4,z,k\right)+d\,x}\,393216}{a^4\,b^5}\right)\,\mathrm{root}\left(729\,a^8\,b^2\,d^6\,z^6+729\,a^{10}\,d^6\,z^6+243\,a^6\,b^2\,d^4\,z^4-b^4,z,k\right)\right)+\frac{2}{a\,d-a\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}}","Not used",1,"symsum(log(-(8192*b^4*exp(root(729*a^8*b^2*d^6*z^6 + 729*a^10*d^6*z^6 + 243*a^6*b^2*d^4*z^4 - b^4, z, k) + d*x) - 65536*a*b^3 - 294912*root(729*a^8*b^2*d^6*z^6 + 729*a^10*d^6*z^6 + 243*a^6*b^2*d^4*z^4 - b^4, z, k)^2*a^3*b^3*d^2 - 221184*root(729*a^8*b^2*d^6*z^6 + 729*a^10*d^6*z^6 + 243*a^6*b^2*d^4*z^4 - b^4, z, k)^3*a^4*b^3*d^3 - 196608*root(729*a^8*b^2*d^6*z^6 + 729*a^10*d^6*z^6 + 243*a^6*b^2*d^4*z^4 - b^4, z, k)*a^2*b^3*d + 10616832*root(729*a^8*b^2*d^6*z^6 + 729*a^10*d^6*z^6 + 243*a^6*b^2*d^4*z^4 - b^4, z, k)^4*a^8*d^4*exp(root(729*a^8*b^2*d^6*z^6 + 729*a^10*d^6*z^6 + 243*a^6*b^2*d^4*z^4 - b^4, z, k) + d*x) + 7962624*root(729*a^8*b^2*d^6*z^6 + 729*a^10*d^6*z^6 + 243*a^6*b^2*d^4*z^4 - b^4, z, k)^5*a^9*d^5*exp(root(729*a^8*b^2*d^6*z^6 + 729*a^10*d^6*z^6 + 243*a^6*b^2*d^4*z^4 - b^4, z, k) + d*x) - 1769472*root(729*a^8*b^2*d^6*z^6 + 729*a^10*d^6*z^6 + 243*a^6*b^2*d^4*z^4 - b^4, z, k)^3*a^6*b*d^3 + 2654208*root(729*a^8*b^2*d^6*z^6 + 729*a^10*d^6*z^6 + 243*a^6*b^2*d^4*z^4 - b^4, z, k)^4*a^7*b*d^4 - 1990656*root(729*a^8*b^2*d^6*z^6 + 729*a^10*d^6*z^6 + 243*a^6*b^2*d^4*z^4 - b^4, z, k)^5*a^8*b*d^5 + 2064384*root(729*a^8*b^2*d^6*z^6 + 729*a^10*d^6*z^6 + 243*a^6*b^2*d^4*z^4 - b^4, z, k)^2*a^4*b^2*d^2*exp(root(729*a^8*b^2*d^6*z^6 + 729*a^10*d^6*z^6 + 243*a^6*b^2*d^4*z^4 - b^4, z, k) + d*x) + 5529600*root(729*a^8*b^2*d^6*z^6 + 729*a^10*d^6*z^6 + 243*a^6*b^2*d^4*z^4 - b^4, z, k)^3*a^5*b^2*d^3*exp(root(729*a^8*b^2*d^6*z^6 + 729*a^10*d^6*z^6 + 243*a^6*b^2*d^4*z^4 - b^4, z, k) + d*x) + 7299072*root(729*a^8*b^2*d^6*z^6 + 729*a^10*d^6*z^6 + 243*a^6*b^2*d^4*z^4 - b^4, z, k)^4*a^6*b^2*d^4*exp(root(729*a^8*b^2*d^6*z^6 + 729*a^10*d^6*z^6 + 243*a^6*b^2*d^4*z^4 - b^4, z, k) + d*x) + 9953280*root(729*a^8*b^2*d^6*z^6 + 729*a^10*d^6*z^6 + 243*a^6*b^2*d^4*z^4 - b^4, z, k)^5*a^7*b^2*d^5*exp(root(729*a^8*b^2*d^6*z^6 + 729*a^10*d^6*z^6 + 243*a^6*b^2*d^4*z^4 - b^4, z, k) + d*x) + 393216*root(729*a^8*b^2*d^6*z^6 + 729*a^10*d^6*z^6 + 243*a^6*b^2*d^4*z^4 - b^4, z, k)*a^3*b^2*d*exp(root(729*a^8*b^2*d^6*z^6 + 729*a^10*d^6*z^6 + 243*a^6*b^2*d^4*z^4 - b^4, z, k) + d*x))/(a^4*b^5))*root(729*a^8*b^2*d^6*z^6 + 729*a^10*d^6*z^6 + 243*a^6*b^2*d^4*z^4 - b^4, z, k), k, 1, 6) + 2/(a*d - a*d*exp(2*c + 2*d*x))","B"
180,1,3605,322,89.246349,"\text{Not used}","int(1/(sinh(c + d*x)^3*(a + b*sinh(c + d*x)^3)),x)","\left(\sum _{k=1}^6\ln\left(-\frac{-50331648\,a\,b^6+b^7\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}\,16777216+\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)\,a\,b^7\,d\,33554432+a^2\,b^5\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}\,671088640+{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}^2\,a^3\,b^6\,d^2\,201326592-{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}^2\,a^5\,b^4\,d^2\,1509949440-{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}^3\,a^5\,b^5\,d^3\,2717908992+{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}^3\,a^7\,b^3\,d^3\,2717908992+{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}^4\,a^7\,b^4\,d^4\,6039797760-{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}^4\,a^9\,b^2\,d^4\,4076863488-{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}^5\,a^9\,b^3\,d^5\,679477248+{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}^6\,a^{11}\,b^2\,d^6\,16307453952-{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}^7\,a^{11}\,b^3\,d^7\,32614907904+\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)\,a^3\,b^5\,d\,452984832+{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}^5\,a^{11}\,b\,d^5\,4076863488-{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}^7\,a^{13}\,b\,d^7\,40768634880-{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}^5\,a^{12}\,d^5\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}\,97844723712+{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}^7\,a^{14}\,d^7\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}\,391378894848+{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}^4\,a^{10}\,b\,d^4\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}\,10871635968-{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}^6\,a^{12}\,b\,d^6\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}\,55717134336-{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}^2\,a^4\,b^5\,d^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}\,3061841920-{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}^2\,a^6\,b^3\,d^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}\,7247757312+{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}^3\,a^6\,b^4\,d^3\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}\,9688842240+{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}^3\,a^8\,b^2\,d^3\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}\,36238786560-{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}^4\,a^6\,b^5\,d^4\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}\,301989888+{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}^4\,a^8\,b^3\,d^4\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}\,48695869440+{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}^5\,a^8\,b^4\,d^5\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}\,6341787648-{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}^5\,a^{10}\,b^2\,d^5\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}\,244838301696-{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}^6\,a^{10}\,b^3\,d^6\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}\,74742497280+{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}^7\,a^{12}\,b^2\,d^7\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}\,399532621824-\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)\,a^4\,b^4\,d\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)}\,2818572288}{a^5\,b^9}\right)\,\mathrm{root}\left(729\,a^{10}\,b^2\,d^6\,z^6+729\,a^{12}\,d^6\,z^6-243\,a^8\,b^2\,d^4\,z^4+27\,a^4\,b^4\,d^2\,z^2-b^6,z,k\right)\right)-\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}}+\frac{{\mathrm{e}}^{c+d\,x}}{a\,d-a\,d\,{\mathrm{e}}^{2\,c+2\,d\,x}}-\frac{\ln\left(191102976\,a^6\,b-16777216\,b^7+113246208\,a^2\,b^5-63700992\,a^4\,b^3+16777216\,b^7\,{\mathrm{e}}^{-\frac{1}{2\,a\,d}}\,{\mathrm{e}}^{d\,x}-191102976\,a^6\,b\,{\mathrm{e}}^{-\frac{1}{2\,a\,d}}\,{\mathrm{e}}^{d\,x}-113246208\,a^2\,b^5\,{\mathrm{e}}^{-\frac{1}{2\,a\,d}}\,{\mathrm{e}}^{d\,x}+63700992\,a^4\,b^3\,{\mathrm{e}}^{-\frac{1}{2\,a\,d}}\,{\mathrm{e}}^{d\,x}\right)}{2\,a\,d}+\frac{\ln\left(191102976\,a^6\,b-16777216\,b^7+113246208\,a^2\,b^5-63700992\,a^4\,b^3-16777216\,b^7\,{\mathrm{e}}^{\frac{1}{2\,a\,d}}\,{\mathrm{e}}^{d\,x}+191102976\,a^6\,b\,{\mathrm{e}}^{\frac{1}{2\,a\,d}}\,{\mathrm{e}}^{d\,x}+113246208\,a^2\,b^5\,{\mathrm{e}}^{\frac{1}{2\,a\,d}}\,{\mathrm{e}}^{d\,x}-63700992\,a^4\,b^3\,{\mathrm{e}}^{\frac{1}{2\,a\,d}}\,{\mathrm{e}}^{d\,x}\right)}{2\,a\,d}","Not used",1,"symsum(log(-(16777216*b^7*exp(d*x)*exp(root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)) - 50331648*a*b^6 + 33554432*root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)*a*b^7*d + 671088640*a^2*b^5*exp(d*x)*exp(root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)) + 201326592*root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)^2*a^3*b^6*d^2 - 1509949440*root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)^2*a^5*b^4*d^2 - 2717908992*root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)^3*a^5*b^5*d^3 + 2717908992*root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)^3*a^7*b^3*d^3 + 6039797760*root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)^4*a^7*b^4*d^4 - 4076863488*root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)^4*a^9*b^2*d^4 - 679477248*root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)^5*a^9*b^3*d^5 + 16307453952*root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)^6*a^11*b^2*d^6 - 32614907904*root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)^7*a^11*b^3*d^7 + 452984832*root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)*a^3*b^5*d + 4076863488*root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)^5*a^11*b*d^5 - 40768634880*root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)^7*a^13*b*d^7 - 97844723712*root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)^5*a^12*d^5*exp(d*x)*exp(root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)) + 391378894848*root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)^7*a^14*d^7*exp(d*x)*exp(root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)) + 10871635968*root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)^4*a^10*b*d^4*exp(d*x)*exp(root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)) - 55717134336*root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)^6*a^12*b*d^6*exp(d*x)*exp(root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)) - 3061841920*root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)^2*a^4*b^5*d^2*exp(d*x)*exp(root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)) - 7247757312*root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)^2*a^6*b^3*d^2*exp(d*x)*exp(root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)) + 9688842240*root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)^3*a^6*b^4*d^3*exp(d*x)*exp(root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)) + 36238786560*root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)^3*a^8*b^2*d^3*exp(d*x)*exp(root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)) - 301989888*root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)^4*a^6*b^5*d^4*exp(d*x)*exp(root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)) + 48695869440*root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)^4*a^8*b^3*d^4*exp(d*x)*exp(root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)) + 6341787648*root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)^5*a^8*b^4*d^5*exp(d*x)*exp(root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)) - 244838301696*root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)^5*a^10*b^2*d^5*exp(d*x)*exp(root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)) - 74742497280*root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)^6*a^10*b^3*d^6*exp(d*x)*exp(root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)) + 399532621824*root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)^7*a^12*b^2*d^7*exp(d*x)*exp(root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)) - 2818572288*root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)*a^4*b^4*d*exp(d*x)*exp(root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k)))/(a^5*b^9))*root(729*a^10*b^2*d^6*z^6 + 729*a^12*d^6*z^6 - 243*a^8*b^2*d^4*z^4 + 27*a^4*b^4*d^2*z^2 - b^6, z, k), k, 1, 6) - (2*exp(c + d*x))/(a*d - 2*a*d*exp(2*c + 2*d*x) + a*d*exp(4*c + 4*d*x)) + exp(c + d*x)/(a*d - a*d*exp(2*c + 2*d*x)) - log(191102976*a^6*b - 16777216*b^7 + 113246208*a^2*b^5 - 63700992*a^4*b^3 + 16777216*b^7*exp(-1/(2*a*d))*exp(d*x) - 191102976*a^6*b*exp(-1/(2*a*d))*exp(d*x) - 113246208*a^2*b^5*exp(-1/(2*a*d))*exp(d*x) + 63700992*a^4*b^3*exp(-1/(2*a*d))*exp(d*x))/(2*a*d) + log(191102976*a^6*b - 16777216*b^7 + 113246208*a^2*b^5 - 63700992*a^4*b^3 - 16777216*b^7*exp(1/(2*a*d))*exp(d*x) + 191102976*a^6*b*exp(1/(2*a*d))*exp(d*x) + 113246208*a^2*b^5*exp(1/(2*a*d))*exp(d*x) - 63700992*a^4*b^3*exp(1/(2*a*d))*exp(d*x))/(2*a*d)","B"
181,1,3086,317,59.687153,"\text{Not used}","int(1/(sinh(c + d*x)^4*(a + b*sinh(c + d*x)^3)),x)","\left(\sum _{k=1}^6\ln\left(\frac{-1073741824\,b^9-\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)\,a\,b^9\,d\,134217728+{\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)}^2\,a^4\,b^7\,d^2\,18589155328+{\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)}^3\,a^5\,b^7\,d^3\,2818572288+{\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)}^3\,a^7\,b^5\,d^3\,17716740096-{\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)}^4\,a^8\,b^5\,d^4\,88181047296-{\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)}^4\,a^{10}\,b^3\,d^4\,86973087744-{\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)}^5\,a^9\,b^5\,d^5\,18119393280-{\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)}^5\,a^{11}\,b^3\,d^5\,30802968576+{\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)}^6\,a^{12}\,b^3\,d^6\,70665633792+{\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)}^7\,a^{13}\,b^3\,d^7\,32614907904-\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)\,a^3\,b^7\,d\,3221225472+a\,b^8\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)}\,2147483648+{\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)}^6\,a^{14}\,b\,d^6\,86973087744+{\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)}^7\,a^{15}\,b\,d^7\,40768634880-{\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)}^7\,a^{16}\,d^7\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)}\,391378894848+{\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)}^2\,a^3\,b^8\,d^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)}\,268435456-{\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)}^2\,a^5\,b^6\,d^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)}\,16642998272-{\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)}^3\,a^6\,b^6\,d^3\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)}\,100763959296+{\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)}^3\,a^8\,b^4\,d^3\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)}\,57982058496-{\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)}^4\,a^7\,b^6\,d^4\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)}\,4831838208+{\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)}^4\,a^9\,b^4\,d^4\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)}\,36238786560+{\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)}^5\,a^{10}\,b^4\,d^5\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)}\,494659436544+{\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)}^5\,a^{12}\,b^2\,d^5\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)}\,333396836352+{\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)}^6\,a^{11}\,b^4\,d^6\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)}\,21743271936+{\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)}^6\,a^{13}\,b^2\,d^6\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)}\,2717908992-{\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)}^7\,a^{14}\,b^2\,d^7\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)}\,399532621824+\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)\,a^2\,b^8\,d\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^{\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)}\,5637144576}{a^7\,b^9}\right)\,\mathrm{root}\left(729\,a^{12}\,b^2\,d^6\,z^6+729\,a^{14}\,d^6\,z^6-243\,a^8\,b^4\,d^4\,z^4+27\,a^4\,b^6\,d^2\,z^2-b^8,z,k\right)\right)+\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}}+\frac{b\,\ln\left({\mathrm{e}}^{d\,x+\frac{b}{a^2\,d}}+1\right)}{a^2\,d}-\frac{b\,\ln\left({\mathrm{e}}^{d\,x-\frac{b}{a^2\,d}}-1\right)}{a^2\,d}","Not used",1,"symsum(log((18589155328*root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)^2*a^4*b^7*d^2 - 134217728*root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)*a*b^9*d - 1073741824*b^9 + 2818572288*root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)^3*a^5*b^7*d^3 + 17716740096*root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)^3*a^7*b^5*d^3 - 88181047296*root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)^4*a^8*b^5*d^4 - 86973087744*root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)^4*a^10*b^3*d^4 - 18119393280*root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)^5*a^9*b^5*d^5 - 30802968576*root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)^5*a^11*b^3*d^5 + 70665633792*root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)^6*a^12*b^3*d^6 + 32614907904*root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)^7*a^13*b^3*d^7 - 3221225472*root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)*a^3*b^7*d + 2147483648*a*b^8*exp(d*x)*exp(root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)) + 86973087744*root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)^6*a^14*b*d^6 + 40768634880*root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)^7*a^15*b*d^7 - 391378894848*root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)^7*a^16*d^7*exp(d*x)*exp(root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)) + 268435456*root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)^2*a^3*b^8*d^2*exp(d*x)*exp(root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)) - 16642998272*root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)^2*a^5*b^6*d^2*exp(d*x)*exp(root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)) - 100763959296*root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)^3*a^6*b^6*d^3*exp(d*x)*exp(root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)) + 57982058496*root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)^3*a^8*b^4*d^3*exp(d*x)*exp(root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)) - 4831838208*root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)^4*a^7*b^6*d^4*exp(d*x)*exp(root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)) + 36238786560*root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)^4*a^9*b^4*d^4*exp(d*x)*exp(root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)) + 494659436544*root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)^5*a^10*b^4*d^5*exp(d*x)*exp(root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)) + 333396836352*root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)^5*a^12*b^2*d^5*exp(d*x)*exp(root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)) + 21743271936*root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)^6*a^11*b^4*d^6*exp(d*x)*exp(root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)) + 2717908992*root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)^6*a^13*b^2*d^6*exp(d*x)*exp(root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)) - 399532621824*root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)^7*a^14*b^2*d^7*exp(d*x)*exp(root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)) + 5637144576*root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)*a^2*b^8*d*exp(d*x)*exp(root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k)))/(a^7*b^9))*root(729*a^12*b^2*d^6*z^6 + 729*a^14*d^6*z^6 - 243*a^8*b^4*d^4*z^4 + 27*a^4*b^6*d^2*z^2 - b^8, z, k), k, 1, 6) + 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)) + (b*log(exp(d*x + b/(a^2*d)) + 1))/(a^2*d) - (b*log(exp(d*x - b/(a^2*d)) - 1))/(a^2*d)","B"
182,1,203,139,1.772125,"\text{Not used}","int(1/(sinh(x)^3 + 1),x)","\frac{\mathrm{atan}\left(\frac{77824\,{\mathrm{e}}^x-32768\,\sqrt{3}-45056\,\sqrt{3}\,{\mathrm{e}}^x+57344}{77824\,{\mathrm{e}}^x-45056\,\sqrt{3}\,{\mathrm{e}}^x}\right)}{3}-\frac{\mathrm{atan}\left(\frac{77824\,{\mathrm{e}}^x+45056\,\sqrt{3}\,{\mathrm{e}}^x}{77824\,{\mathrm{e}}^x+32768\,\sqrt{3}+45056\,\sqrt{3}\,{\mathrm{e}}^x+57344}\right)}{3}-\frac{\sqrt{2}\,\ln\left(41984\,\sqrt{2}\,{\mathrm{e}}^x-17408\,\sqrt{2}-59392\,{\mathrm{e}}^x+24576\right)}{6}+\frac{\sqrt{2}\,\ln\left(17408\,\sqrt{2}-59392\,{\mathrm{e}}^x-41984\,\sqrt{2}\,{\mathrm{e}}^x+24576\right)}{6}-\frac{\sqrt{3}\,\ln\left({\left(77824\,{\mathrm{e}}^x-32768\,\sqrt{3}-45056\,\sqrt{3}\,{\mathrm{e}}^x+57344\right)}^2+{\left(77824\,{\mathrm{e}}^x-45056\,\sqrt{3}\,{\mathrm{e}}^x\right)}^2\right)}{6}+\frac{\sqrt{3}\,\ln\left({\left(77824\,{\mathrm{e}}^x+32768\,\sqrt{3}+45056\,\sqrt{3}\,{\mathrm{e}}^x+57344\right)}^2+{\left(77824\,{\mathrm{e}}^x+45056\,\sqrt{3}\,{\mathrm{e}}^x\right)}^2\right)}{6}","Not used",1,"atan((77824*exp(x) - 32768*3^(1/2) - 45056*3^(1/2)*exp(x) + 57344)/(77824*exp(x) - 45056*3^(1/2)*exp(x)))/3 - atan((77824*exp(x) + 45056*3^(1/2)*exp(x))/(77824*exp(x) + 32768*3^(1/2) + 45056*3^(1/2)*exp(x) + 57344))/3 - (2^(1/2)*log(41984*2^(1/2)*exp(x) - 17408*2^(1/2) - 59392*exp(x) + 24576))/6 + (2^(1/2)*log(17408*2^(1/2) - 59392*exp(x) - 41984*2^(1/2)*exp(x) + 24576))/6 - (3^(1/2)*log((77824*exp(x) - 32768*3^(1/2) - 45056*3^(1/2)*exp(x) + 57344)^2 + (77824*exp(x) - 45056*3^(1/2)*exp(x))^2))/6 + (3^(1/2)*log((77824*exp(x) + 32768*3^(1/2) + 45056*3^(1/2)*exp(x) + 57344)^2 + (77824*exp(x) + 45056*3^(1/2)*exp(x))^2))/6","B"
183,1,225,133,2.073330,"\text{Not used}","int(-1/(sinh(x)^3 - 1),x)","\frac{\mathrm{atan}\left(\frac{77824\,{\mathrm{e}}^x+32768\,\sqrt{3}-45056\,\sqrt{3}\,{\mathrm{e}}^x-57344}{77824\,{\mathrm{e}}^x-45056\,\sqrt{3}\,{\mathrm{e}}^x}\right)}{3}+\frac{\mathrm{atan}\left(\frac{77824\,{\mathrm{e}}^x-32768\,\sqrt{3}+45056\,\sqrt{3}\,{\mathrm{e}}^x-57344}{77824\,{\mathrm{e}}^x+45056\,\sqrt{3}\,{\mathrm{e}}^x}\right)}{3}+\frac{\pi \,\mathrm{sign}\left(77824\,{\mathrm{e}}^x+32768\,\sqrt{3}-45056\,\sqrt{3}\,{\mathrm{e}}^x-57344\right)}{3}-\frac{\sqrt{2}\,\ln\left(59392\,{\mathrm{e}}^x-17408\,\sqrt{2}-41984\,\sqrt{2}\,{\mathrm{e}}^x+24576\right)}{6}+\frac{\sqrt{2}\,\ln\left(59392\,{\mathrm{e}}^x+17408\,\sqrt{2}+41984\,\sqrt{2}\,{\mathrm{e}}^x+24576\right)}{6}+\frac{\sqrt{3}\,\ln\left({\left(77824\,{\mathrm{e}}^x-32768\,\sqrt{3}+45056\,\sqrt{3}\,{\mathrm{e}}^x-57344\right)}^2+{\left(77824\,{\mathrm{e}}^x+45056\,\sqrt{3}\,{\mathrm{e}}^x\right)}^2\right)}{6}-\frac{\sqrt{3}\,\ln\left({\left(77824\,{\mathrm{e}}^x+32768\,\sqrt{3}-45056\,\sqrt{3}\,{\mathrm{e}}^x-57344\right)}^2+{\left(77824\,{\mathrm{e}}^x-45056\,\sqrt{3}\,{\mathrm{e}}^x\right)}^2\right)}{6}","Not used",1,"atan((77824*exp(x) + 32768*3^(1/2) - 45056*3^(1/2)*exp(x) - 57344)/(77824*exp(x) - 45056*3^(1/2)*exp(x)))/3 + atan((77824*exp(x) - 32768*3^(1/2) + 45056*3^(1/2)*exp(x) - 57344)/(77824*exp(x) + 45056*3^(1/2)*exp(x)))/3 + (pi*sign(77824*exp(x) + 32768*3^(1/2) - 45056*3^(1/2)*exp(x) - 57344))/3 - (2^(1/2)*log(59392*exp(x) - 17408*2^(1/2) - 41984*2^(1/2)*exp(x) + 24576))/6 + (2^(1/2)*log(59392*exp(x) + 17408*2^(1/2) + 41984*2^(1/2)*exp(x) + 24576))/6 + (3^(1/2)*log((77824*exp(x) - 32768*3^(1/2) + 45056*3^(1/2)*exp(x) - 57344)^2 + (77824*exp(x) + 45056*3^(1/2)*exp(x))^2))/6 - (3^(1/2)*log((77824*exp(x) + 32768*3^(1/2) - 45056*3^(1/2)*exp(x) - 57344)^2 + (77824*exp(x) - 45056*3^(1/2)*exp(x))^2))/6","B"
184,1,88,111,0.915727,"\text{Not used}","int(sinh(c + d*x)^4*(a + b*sinh(c + d*x)^4),x)","\frac{12\,a\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)-96\,a\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)-84\,b\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)+21\,b\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)-4\,b\,\mathrm{sinh}\left(6\,c+6\,d\,x\right)+\frac{3\,b\,\mathrm{sinh}\left(8\,c+8\,d\,x\right)}{8}+144\,a\,d\,x+105\,b\,d\,x}{384\,d}","Not used",1,"(12*a*sinh(4*c + 4*d*x) - 96*a*sinh(2*c + 2*d*x) - 84*b*sinh(2*c + 2*d*x) + 21*b*sinh(4*c + 4*d*x) - 4*b*sinh(6*c + 6*d*x) + (3*b*sinh(8*c + 8*d*x))/8 + 144*a*d*x + 105*b*d*x)/(384*d)","B"
185,1,66,67,0.794290,"\text{Not used}","int(sinh(c + d*x)^3*(a + b*sinh(c + d*x)^4),x)","-\frac{a\,\mathrm{cosh}\left(c+d\,x\right)+b\,\mathrm{cosh}\left(c+d\,x\right)-\frac{a\,{\mathrm{cosh}\left(c+d\,x\right)}^3}{3}-b\,{\mathrm{cosh}\left(c+d\,x\right)}^3+\frac{3\,b\,{\mathrm{cosh}\left(c+d\,x\right)}^5}{5}-\frac{b\,{\mathrm{cosh}\left(c+d\,x\right)}^7}{7}}{d}","Not used",1,"-(a*cosh(c + d*x) + b*cosh(c + d*x) - (a*cosh(c + d*x)^3)/3 - b*cosh(c + d*x)^3 + (3*b*cosh(c + d*x)^5)/5 - (b*cosh(c + d*x)^7)/7)/d","B"
186,1,64,83,0.159286,"\text{Not used}","int(sinh(c + d*x)^2*(a + b*sinh(c + d*x)^4),x)","\frac{12\,a\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)+\frac{45\,b\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)}{4}-\frac{9\,b\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)}{4}+\frac{b\,\mathrm{sinh}\left(6\,c+6\,d\,x\right)}{4}-24\,a\,d\,x-15\,b\,d\,x}{48\,d}","Not used",1,"(12*a*sinh(2*c + 2*d*x) + (45*b*sinh(2*c + 2*d*x))/4 - (9*b*sinh(4*c + 4*d*x))/4 + (b*sinh(6*c + 6*d*x))/4 - 24*a*d*x - 15*b*d*x)/(48*d)","B"
187,1,46,46,0.100588,"\text{Not used}","int(sinh(c + d*x)*(a + b*sinh(c + d*x)^4),x)","\frac{15\,a\,\mathrm{cosh}\left(c+d\,x\right)+15\,b\,\mathrm{cosh}\left(c+d\,x\right)-10\,b\,{\mathrm{cosh}\left(c+d\,x\right)}^3+3\,b\,{\mathrm{cosh}\left(c+d\,x\right)}^5}{15\,d}","Not used",1,"(15*a*cosh(c + d*x) + 15*b*cosh(c + d*x) - 10*b*cosh(c + d*x)^3 + 3*b*cosh(c + d*x)^5)/(15*d)","B"
188,1,38,52,0.700126,"\text{Not used}","int(a + b*sinh(c + d*x)^4,x)","a\,x+\frac{3\,b\,x}{8}-\frac{\frac{b\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)}{4}-\frac{b\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)}{32}}{d}","Not used",1,"a*x + (3*b*x)/8 - ((b*sinh(2*c + 2*d*x))/4 - (b*sinh(4*c + 4*d*x))/32)/d","B"
189,1,96,42,0.132552,"\text{Not used}","int((a + b*sinh(c + d*x)^4)/sinh(c + d*x),x)","\frac{b\,{\mathrm{e}}^{-3\,c-3\,d\,x}}{24\,d}-\frac{3\,b\,{\mathrm{e}}^{-c-d\,x}}{8\,d}+\frac{b\,{\mathrm{e}}^{3\,c+3\,d\,x}}{24\,d}-\frac{3\,b\,{\mathrm{e}}^{c+d\,x}}{8\,d}-\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}}","Not used",1,"(b*exp(- 3*c - 3*d*x))/(24*d) - (3*b*exp(- c - d*x))/(8*d) + (b*exp(3*c + 3*d*x))/(24*d) - (3*b*exp(c + d*x))/(8*d) - (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)","B"
190,1,54,39,0.722895,"\text{Not used}","int((a + b*sinh(c + d*x)^4)/sinh(c + d*x)^2,x)","\frac{b\,{\mathrm{e}}^{2\,c+2\,d\,x}}{8\,d}-\frac{2\,a}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{b\,{\mathrm{e}}^{-2\,c-2\,d\,x}}{8\,d}-\frac{b\,x}{2}","Not used",1,"(b*exp(2*c + 2*d*x))/(8*d) - (2*a)/(d*(exp(2*c + 2*d*x) - 1)) - (b*exp(- 2*c - 2*d*x))/(8*d) - (b*x)/2","B"
191,1,126,47,0.721711,"\text{Not used}","int((a + b*sinh(c + d*x)^4)/sinh(c + d*x)^3,x)","\frac{b\,{\mathrm{e}}^{-c-d\,x}}{2\,d}+\frac{b\,{\mathrm{e}}^{c+d\,x}}{2\,d}+\frac{\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{a\,{\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,"(b*exp(- c - d*x))/(2*d) + (b*exp(c + d*x))/(2*d) + (atan((a*exp(d*x)*exp(c)*(-d^2)^(1/2))/(d*(a^2)^(1/2)))*(a^2)^(1/2))/(-d^2)^(1/2) - (a*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"
192,1,81,31,0.701821,"\text{Not used}","int((a + b*sinh(c + d*x)^4)/sinh(c + d*x)^4,x)","\frac{4\,a-12\,a\,{\mathrm{e}}^{2\,c+2\,d\,x}-3\,b\,d\,x+9\,b\,d\,x\,{\mathrm{e}}^{2\,c+2\,d\,x}-9\,b\,d\,x\,{\mathrm{e}}^{4\,c+4\,d\,x}+3\,b\,d\,x\,{\mathrm{e}}^{6\,c+6\,d\,x}}{3\,d\,{\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}^3}","Not used",1,"(4*a - 12*a*exp(2*c + 2*d*x) - 3*b*d*x + 9*b*d*x*exp(2*c + 2*d*x) - 9*b*d*x*exp(4*c + 4*d*x) + 3*b*d*x*exp(6*c + 6*d*x))/(3*d*(exp(2*c + 2*d*x) - 1)^3)","B"
193,1,242,64,0.742555,"\text{Not used}","int((a + b*sinh(c + d*x)^4)/sinh(c + d*x)^5,x)","\frac{3\,a\,{\mathrm{e}}^{c+d\,x}}{4\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(3\,a\,\sqrt{-d^2}+8\,b\,\sqrt{-d^2}\right)}{d\,\sqrt{9\,a^2+48\,a\,b+64\,b^2}}\right)\,\sqrt{9\,a^2+48\,a\,b+64\,b^2}}{4\,\sqrt{-d^2}}-\frac{a\,{\mathrm{e}}^{c+d\,x}}{2\,d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{6\,a\,{\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\,a\,{\mathrm{e}}^{c+d\,x}}{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,"(3*a*exp(c + d*x))/(4*d*(exp(2*c + 2*d*x) - 1)) - (atan((exp(d*x)*exp(c)*(3*a*(-d^2)^(1/2) + 8*b*(-d^2)^(1/2)))/(d*(48*a*b + 9*a^2 + 64*b^2)^(1/2)))*(48*a*b + 9*a^2 + 64*b^2)^(1/2))/(4*(-d^2)^(1/2)) - (a*exp(c + d*x))/(2*d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) - (6*a*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*a*exp(c + d*x))/(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"
194,1,337,47,0.721680,"\text{Not used}","int((a + b*sinh(c + d*x)^4)/sinh(c + d*x)^6,x)","\frac{\frac{2\,b}{5\,d}+\frac{6\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}}{5\,d}-\frac{2\,b\,{\mathrm{e}}^{6\,c+6\,d\,x}}{5\,d}-\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(8\,a+3\,b\right)}{5\,d}}{6\,{\mathrm{e}}^{4\,c+4\,d\,x}-4\,{\mathrm{e}}^{2\,c+2\,d\,x}-4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1}-\frac{\frac{2\,\left(8\,a+3\,b\right)}{15\,d}-\frac{4\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}}{5\,d}+\frac{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\,b}{5\,d}-\frac{8\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}}{5\,d}-\frac{8\,b\,{\mathrm{e}}^{6\,c+6\,d\,x}}{5\,d}+\frac{2\,b\,{\mathrm{e}}^{8\,c+8\,d\,x}}{5\,d}+\frac{4\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(8\,a+3\,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{4\,b}{5\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}","Not used",1,"((2*b)/(5*d) + (6*b*exp(4*c + 4*d*x))/(5*d) - (2*b*exp(6*c + 6*d*x))/(5*d) - (2*exp(2*c + 2*d*x)*(8*a + 3*b))/(5*d))/(6*exp(4*c + 4*d*x) - 4*exp(2*c + 2*d*x) - 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1) - ((2*(8*a + 3*b))/(15*d) - (4*b*exp(2*c + 2*d*x))/(5*d) + (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*b)/(5*d) - (8*b*exp(2*c + 2*d*x))/(5*d) - (8*b*exp(6*c + 6*d*x))/(5*d) + (2*b*exp(8*c + 8*d*x))/(5*d) + (4*exp(4*c + 4*d*x)*(8*a + 3*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) - (4*b)/(5*d*(exp(2*c + 2*d*x) - 1))","B"
195,1,472,92,0.774322,"\text{Not used}","int((a + b*sinh(c + d*x)^4)/sinh(c + d*x)^7,x)","\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(5\,a\,\sqrt{-d^2}+8\,b\,\sqrt{-d^2}\right)}{d\,\sqrt{25\,a^2+80\,a\,b+64\,b^2}}\right)\,\sqrt{25\,a^2+80\,a\,b+64\,b^2}}{8\,\sqrt{-d^2}}-\frac{\frac{2\,b\,{\mathrm{e}}^{9\,c+9\,d\,x}}{3\,d}-\frac{8\,b\,{\mathrm{e}}^{7\,c+7\,d\,x}}{3\,d}-\frac{8\,b\,{\mathrm{e}}^{3\,c+3\,d\,x}}{3\,d}+\frac{4\,{\mathrm{e}}^{5\,c+5\,d\,x}\,\left(8\,a+3\,b\right)}{3\,d}+\frac{2\,b\,{\mathrm{e}}^{c+d\,x}}{3\,d}}{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}+\frac{{\mathrm{e}}^{c+d\,x}\,\left(5\,a-16\,b\right)}{12\,d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{a\,{\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{22\,a\,{\mathrm{e}}^{c+d\,x}}{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)}-\frac{{\mathrm{e}}^{c+d\,x}\,\left(5\,a+8\,b\right)}{8\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{16\,a\,{\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)}","Not used",1,"(atan((exp(d*x)*exp(c)*(5*a*(-d^2)^(1/2) + 8*b*(-d^2)^(1/2)))/(d*(80*a*b + 25*a^2 + 64*b^2)^(1/2)))*(80*a*b + 25*a^2 + 64*b^2)^(1/2))/(8*(-d^2)^(1/2)) - ((2*b*exp(9*c + 9*d*x))/(3*d) - (8*b*exp(7*c + 7*d*x))/(3*d) - (8*b*exp(3*c + 3*d*x))/(3*d) + (4*exp(5*c + 5*d*x)*(8*a + 3*b))/(3*d) + (2*b*exp(c + d*x))/(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) + (exp(c + d*x)*(5*a - 16*b))/(12*d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) - (a*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)) - (22*a*exp(c + d*x))/(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)) - (exp(c + d*x)*(5*a + 8*b))/(8*d*(exp(2*c + 2*d*x) - 1)) - (16*a*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))","B"
196,1,150,120,0.356889,"\text{Not used}","int(sinh(c + d*x)^3*(a + b*sinh(c + d*x)^4)^2,x)","-\frac{-\frac{a^2\,{\mathrm{cosh}\left(c+d\,x\right)}^3}{3}+a^2\,\mathrm{cosh}\left(c+d\,x\right)-\frac{2\,a\,b\,{\mathrm{cosh}\left(c+d\,x\right)}^7}{7}+\frac{6\,a\,b\,{\mathrm{cosh}\left(c+d\,x\right)}^5}{5}-2\,a\,b\,{\mathrm{cosh}\left(c+d\,x\right)}^3+2\,a\,b\,\mathrm{cosh}\left(c+d\,x\right)-\frac{b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^{11}}{11}+\frac{5\,b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^9}{9}-\frac{10\,b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^7}{7}+2\,b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^5-\frac{5\,b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^3}{3}+b^2\,\mathrm{cosh}\left(c+d\,x\right)}{d}","Not used",1,"-(a^2*cosh(c + d*x) + b^2*cosh(c + d*x) - (a^2*cosh(c + d*x)^3)/3 - (5*b^2*cosh(c + d*x)^3)/3 + 2*b^2*cosh(c + d*x)^5 - (10*b^2*cosh(c + d*x)^7)/7 + (5*b^2*cosh(c + d*x)^9)/9 - (b^2*cosh(c + d*x)^11)/11 + 2*a*b*cosh(c + d*x) - 2*a*b*cosh(c + d*x)^3 + (6*a*b*cosh(c + d*x)^5)/5 - (2*a*b*cosh(c + d*x)^7)/7)/d","B"
197,1,149,161,0.405093,"\text{Not used}","int(sinh(c + d*x)^2*(a + b*sinh(c + d*x)^4)^2,x)","\frac{960\,a^2\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)+\frac{1575\,b^2\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)}{2}-225\,b^2\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)+\frac{225\,b^2\,\mathrm{sinh}\left(6\,c+6\,d\,x\right)}{4}-\frac{75\,b^2\,\mathrm{sinh}\left(8\,c+8\,d\,x\right)}{8}+\frac{3\,b^2\,\mathrm{sinh}\left(10\,c+10\,d\,x\right)}{4}+1800\,a\,b\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)-360\,a\,b\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)+40\,a\,b\,\mathrm{sinh}\left(6\,c+6\,d\,x\right)-1920\,a^2\,d\,x-945\,b^2\,d\,x-2400\,a\,b\,d\,x}{3840\,d}","Not used",1,"(960*a^2*sinh(2*c + 2*d*x) + (1575*b^2*sinh(2*c + 2*d*x))/2 - 225*b^2*sinh(4*c + 4*d*x) + (225*b^2*sinh(6*c + 6*d*x))/4 - (75*b^2*sinh(8*c + 8*d*x))/8 + (3*b^2*sinh(10*c + 10*d*x))/4 + 1800*a*b*sinh(2*c + 2*d*x) - 360*a*b*sinh(4*c + 4*d*x) + 40*a*b*sinh(6*c + 6*d*x) - 1920*a^2*d*x - 945*b^2*d*x - 2400*a*b*d*x)/(3840*d)","B"
198,1,111,92,0.883035,"\text{Not used}","int(sinh(c + d*x)*(a + b*sinh(c + d*x)^4)^2,x)","\frac{a^2\,\mathrm{cosh}\left(c+d\,x\right)+\frac{2\,a\,b\,{\mathrm{cosh}\left(c+d\,x\right)}^5}{5}-\frac{4\,a\,b\,{\mathrm{cosh}\left(c+d\,x\right)}^3}{3}+2\,a\,b\,\mathrm{cosh}\left(c+d\,x\right)+\frac{b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^9}{9}-\frac{4\,b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^7}{7}+\frac{6\,b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^5}{5}-\frac{4\,b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^3}{3}+b^2\,\mathrm{cosh}\left(c+d\,x\right)}{d}","Not used",1,"(a^2*cosh(c + d*x) + b^2*cosh(c + d*x) - (4*b^2*cosh(c + d*x)^3)/3 + (6*b^2*cosh(c + d*x)^5)/5 - (4*b^2*cosh(c + d*x)^7)/7 + (b^2*cosh(c + d*x)^9)/9 + 2*a*b*cosh(c + d*x) - (4*a*b*cosh(c + d*x)^3)/3 + (2*a*b*cosh(c + d*x)^5)/5)/d","B"
199,1,108,125,0.288662,"\text{Not used}","int((a + b*sinh(c + d*x)^4)^2,x)","\frac{21\,b^2\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)-84\,b^2\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)-4\,b^2\,\mathrm{sinh}\left(6\,c+6\,d\,x\right)+\frac{3\,b^2\,\mathrm{sinh}\left(8\,c+8\,d\,x\right)}{8}-192\,a\,b\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)+24\,a\,b\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)+384\,a^2\,d\,x+105\,b^2\,d\,x+288\,a\,b\,d\,x}{384\,d}","Not used",1,"(21*b^2*sinh(4*c + 4*d*x) - 84*b^2*sinh(2*c + 2*d*x) - 4*b^2*sinh(6*c + 6*d*x) + (3*b^2*sinh(8*c + 8*d*x))/8 - 192*a*b*sinh(2*c + 2*d*x) + 24*a*b*sinh(4*c + 4*d*x) + 384*a^2*d*x + 105*b^2*d*x + 288*a*b*d*x)/(384*d)","B"
200,1,198,92,0.343675,"\text{Not used}","int((a + b*sinh(c + d*x)^4)^2/sinh(c + d*x),x)","\frac{b^2\,{\mathrm{e}}^{-7\,c-7\,d\,x}}{896\,d}-\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}}-\frac{{\mathrm{e}}^{-c-d\,x}\,\left(35\,b^2+96\,a\,b\right)}{128\,d}-\frac{7\,b^2\,{\mathrm{e}}^{-5\,c-5\,d\,x}}{640\,d}-\frac{7\,b^2\,{\mathrm{e}}^{5\,c+5\,d\,x}}{640\,d}-\frac{{\mathrm{e}}^{c+d\,x}\,\left(35\,b^2+96\,a\,b\right)}{128\,d}+\frac{b^2\,{\mathrm{e}}^{7\,c+7\,d\,x}}{896\,d}+\frac{b\,{\mathrm{e}}^{-3\,c-3\,d\,x}\,\left(32\,a+21\,b\right)}{384\,d}+\frac{b\,{\mathrm{e}}^{3\,c+3\,d\,x}\,\left(32\,a+21\,b\right)}{384\,d}","Not used",1,"(b^2*exp(- 7*c - 7*d*x))/(896*d) - (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) - (exp(- c - d*x)*(96*a*b + 35*b^2))/(128*d) - (7*b^2*exp(- 5*c - 5*d*x))/(640*d) - (7*b^2*exp(5*c + 5*d*x))/(640*d) - (exp(c + d*x)*(96*a*b + 35*b^2))/(128*d) + (b^2*exp(7*c + 7*d*x))/(896*d) + (b*exp(- 3*c - 3*d*x)*(32*a + 21*b))/(384*d) + (b*exp(3*c + 3*d*x)*(32*a + 21*b))/(384*d)","B"
201,1,148,103,0.232086,"\text{Not used}","int((a + b*sinh(c + d*x)^4)^2/sinh(c + d*x)^2,x)","\frac{3\,b^2\,{\mathrm{e}}^{-4\,c-4\,d\,x}}{128\,d}-\frac{2\,a^2}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{{\mathrm{e}}^{-2\,c-2\,d\,x}\,\left(15\,b^2+32\,a\,b\right)}{128\,d}-x\,\left(\frac{5\,b^2}{16}+a\,b\right)-\frac{3\,b^2\,{\mathrm{e}}^{4\,c+4\,d\,x}}{128\,d}-\frac{b^2\,{\mathrm{e}}^{-6\,c-6\,d\,x}}{384\,d}+\frac{b^2\,{\mathrm{e}}^{6\,c+6\,d\,x}}{384\,d}+\frac{b\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(32\,a+15\,b\right)}{128\,d}","Not used",1,"(3*b^2*exp(- 4*c - 4*d*x))/(128*d) - (2*a^2)/(d*(exp(2*c + 2*d*x) - 1)) - (exp(- 2*c - 2*d*x)*(32*a*b + 15*b^2))/(128*d) - x*(a*b + (5*b^2)/16) - (3*b^2*exp(4*c + 4*d*x))/(128*d) - (b^2*exp(- 6*c - 6*d*x))/(384*d) + (b^2*exp(6*c + 6*d*x))/(384*d) + (b*exp(2*c + 2*d*x)*(32*a + 15*b))/(128*d)","B"
202,1,214,92,0.833774,"\text{Not used}","int((a + b*sinh(c + d*x)^4)^2/sinh(c + d*x)^3,x)","\frac{\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}}-\frac{5\,b^2\,{\mathrm{e}}^{-3\,c-3\,d\,x}}{96\,d}-\frac{5\,b^2\,{\mathrm{e}}^{3\,c+3\,d\,x}}{96\,d}+\frac{b^2\,{\mathrm{e}}^{-5\,c-5\,d\,x}}{160\,d}+\frac{b^2\,{\mathrm{e}}^{5\,c+5\,d\,x}}{160\,d}+\frac{b\,{\mathrm{e}}^{-c-d\,x}\,\left(16\,a+5\,b\right)}{16\,d}-\frac{a^2\,{\mathrm{e}}^{c+d\,x}}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}+\frac{b\,{\mathrm{e}}^{c+d\,x}\,\left(16\,a+5\,b\right)}{16\,d}-\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)}","Not used",1,"(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) - (5*b^2*exp(- 3*c - 3*d*x))/(96*d) - (5*b^2*exp(3*c + 3*d*x))/(96*d) + (b^2*exp(- 5*c - 5*d*x))/(160*d) + (b^2*exp(5*c + 5*d*x))/(160*d) + (b*exp(- c - d*x)*(16*a + 5*b))/(16*d) - (a^2*exp(c + d*x))/(d*(exp(2*c + 2*d*x) - 1)) + (b*exp(c + d*x)*(16*a + 5*b))/(16*d) - (2*a^2*exp(c + d*x))/(d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1))","B"
203,1,164,91,0.172050,"\text{Not used}","int((a + b*sinh(c + d*x)^4)^2/sinh(c + d*x)^4,x)","\frac{b\,x\,\left(16\,a+3\,b\right)}{8}-\frac{4\,a^2}{3\,d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}+\frac{b^2\,{\mathrm{e}}^{-2\,c-2\,d\,x}}{8\,d}-\frac{b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}}{8\,d}-\frac{b^2\,{\mathrm{e}}^{-4\,c-4\,d\,x}}{64\,d}+\frac{b^2\,{\mathrm{e}}^{4\,c+4\,d\,x}}{64\,d}-\frac{8\,a^2\,{\mathrm{e}}^{2\,c+2\,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)}","Not used",1,"(b*x*(16*a + 3*b))/8 - (4*a^2)/(3*d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) + (b^2*exp(- 2*c - 2*d*x))/(8*d) - (b^2*exp(2*c + 2*d*x))/(8*d) - (b^2*exp(- 4*c - 4*d*x))/(64*d) + (b^2*exp(4*c + 4*d*x))/(64*d) - (8*a^2*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))","B"
204,1,328,101,0.215107,"\text{Not used}","int((a + b*sinh(c + d*x)^4)^2/sinh(c + d*x)^5,x)","\frac{b^2\,{\mathrm{e}}^{-3\,c-3\,d\,x}}{24\,d}-\frac{3\,b^2\,{\mathrm{e}}^{-c-d\,x}}{8\,d}-\frac{3\,b^2\,{\mathrm{e}}^{c+d\,x}}{8\,d}+\frac{b^2\,{\mathrm{e}}^{3\,c+3\,d\,x}}{24\,d}-\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(3\,a^2\,\sqrt{-d^2}+16\,a\,b\,\sqrt{-d^2}\right)}{d\,\sqrt{9\,a^4+96\,a^3\,b+256\,a^2\,b^2}}\right)\,\sqrt{9\,a^4+96\,a^3\,b+256\,a^2\,b^2}}{4\,\sqrt{-d^2}}-\frac{6\,a^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\,a^2\,{\mathrm{e}}^{c+d\,x}}{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{3\,a^2\,{\mathrm{e}}^{c+d\,x}}{4\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{a^2\,{\mathrm{e}}^{c+d\,x}}{2\,d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"(b^2*exp(- 3*c - 3*d*x))/(24*d) - (3*b^2*exp(- c - d*x))/(8*d) - (3*b^2*exp(c + d*x))/(8*d) + (b^2*exp(3*c + 3*d*x))/(24*d) - (atan((exp(d*x)*exp(c)*(3*a^2*(-d^2)^(1/2) + 16*a*b*(-d^2)^(1/2)))/(d*(96*a^3*b + 9*a^4 + 256*a^2*b^2)^(1/2)))*(96*a^3*b + 9*a^4 + 256*a^2*b^2)^(1/2))/(4*(-d^2)^(1/2)) - (6*a^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*a^2*exp(c + d*x))/(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)) + (3*a^2*exp(c + d*x))/(4*d*(exp(2*c + 2*d*x) - 1)) - (a^2*exp(c + d*x))/(2*d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1))","B"
205,1,397,84,0.746465,"\text{Not used}","int((a + b*sinh(c + d*x)^4)^2/sinh(c + d*x)^6,x)","\frac{b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}}{8\,d}-\frac{\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(4\,a^2+3\,b\,a\right)}{5\,d}-\frac{4\,a\,b}{5\,d}-\frac{12\,a\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}}{5\,d}+\frac{4\,a\,b\,{\mathrm{e}}^{6\,c+6\,d\,x}}{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{b^2\,x}{2}-\frac{\frac{4\,\left(4\,a^2+3\,b\,a\right)}{15\,d}-\frac{8\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}}{5\,d}+\frac{4\,a\,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{b^2\,{\mathrm{e}}^{-2\,c-2\,d\,x}}{8\,d}-\frac{\frac{8\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(4\,a^2+3\,b\,a\right)}{5\,d}+\frac{4\,a\,b}{5\,d}-\frac{16\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}}{5\,d}-\frac{16\,a\,b\,{\mathrm{e}}^{6\,c+6\,d\,x}}{5\,d}+\frac{4\,a\,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{8\,a\,b}{5\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}","Not used",1,"(b^2*exp(2*c + 2*d*x))/(8*d) - ((4*exp(2*c + 2*d*x)*(3*a*b + 4*a^2))/(5*d) - (4*a*b)/(5*d) - (12*a*b*exp(4*c + 4*d*x))/(5*d) + (4*a*b*exp(6*c + 6*d*x))/(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) - (b^2*x)/2 - ((4*(3*a*b + 4*a^2))/(15*d) - (8*a*b*exp(2*c + 2*d*x))/(5*d) + (4*a*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) - (b^2*exp(- 2*c - 2*d*x))/(8*d) - ((8*exp(4*c + 4*d*x)*(3*a*b + 4*a^2))/(5*d) + (4*a*b)/(5*d) - (16*a*b*exp(2*c + 2*d*x))/(5*d) - (16*a*b*exp(6*c + 6*d*x))/(5*d) + (4*a*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) - (8*a*b)/(5*d*(exp(2*c + 2*d*x) - 1))","B"
206,1,535,111,0.817879,"\text{Not used}","int((a + b*sinh(c + d*x)^4)^2/sinh(c + d*x)^7,x)","\frac{b^2\,{\mathrm{e}}^{c+d\,x}}{2\,d}-\frac{\frac{8\,{\mathrm{e}}^{5\,c+5\,d\,x}\,\left(4\,a^2+3\,b\,a\right)}{3\,d}+\frac{4\,a\,b\,{\mathrm{e}}^{c+d\,x}}{3\,d}-\frac{16\,a\,b\,{\mathrm{e}}^{3\,c+3\,d\,x}}{3\,d}-\frac{16\,a\,b\,{\mathrm{e}}^{7\,c+7\,d\,x}}{3\,d}+\frac{4\,a\,b\,{\mathrm{e}}^{9\,c+9\,d\,x}}{3\,d}}{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}+\frac{b^2\,{\mathrm{e}}^{-c-d\,x}}{2\,d}+\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(5\,a^2\,\sqrt{-d^2}+16\,a\,b\,\sqrt{-d^2}\right)}{d\,\sqrt{25\,a^4+160\,a^3\,b+256\,a^2\,b^2}}\right)\,\sqrt{25\,a^4+160\,a^3\,b+256\,a^2\,b^2}}{8\,\sqrt{-d^2}}-\frac{a^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{22\,a^2\,{\mathrm{e}}^{c+d\,x}}{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)}-\frac{16\,a^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(5\,a^2+16\,b\,a\right)}{8\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{{\mathrm{e}}^{c+d\,x}\,\left(32\,a\,b-5\,a^2\right)}{12\,d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"(b^2*exp(c + d*x))/(2*d) - ((8*exp(5*c + 5*d*x)*(3*a*b + 4*a^2))/(3*d) + (4*a*b*exp(c + d*x))/(3*d) - (16*a*b*exp(3*c + 3*d*x))/(3*d) - (16*a*b*exp(7*c + 7*d*x))/(3*d) + (4*a*b*exp(9*c + 9*d*x))/(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) + (b^2*exp(- c - d*x))/(2*d) + (atan((exp(d*x)*exp(c)*(5*a^2*(-d^2)^(1/2) + 16*a*b*(-d^2)^(1/2)))/(d*(160*a^3*b + 25*a^4 + 256*a^2*b^2)^(1/2)))*(160*a^3*b + 25*a^4 + 256*a^2*b^2)^(1/2))/(8*(-d^2)^(1/2)) - (a^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)) - (22*a^2*exp(c + d*x))/(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)) - (16*a^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)*(16*a*b + 5*a^2))/(8*d*(exp(2*c + 2*d*x) - 1)) - (exp(c + d*x)*(32*a*b - 5*a^2))/(12*d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1))","B"
207,1,319,220,1.762109,"\text{Not used}","int(sinh(c + d*x)^5*(a + b*sinh(c + d*x)^4)^3,x)","\frac{\frac{a^3\,{\mathrm{cosh}\left(c+d\,x\right)}^5}{5}-\frac{2\,a^3\,{\mathrm{cosh}\left(c+d\,x\right)}^3}{3}+a^3\,\mathrm{cosh}\left(c+d\,x\right)+\frac{a^2\,b\,{\mathrm{cosh}\left(c+d\,x\right)}^9}{3}-\frac{12\,a^2\,b\,{\mathrm{cosh}\left(c+d\,x\right)}^7}{7}+\frac{18\,a^2\,b\,{\mathrm{cosh}\left(c+d\,x\right)}^5}{5}-4\,a^2\,b\,{\mathrm{cosh}\left(c+d\,x\right)}^3+3\,a^2\,b\,\mathrm{cosh}\left(c+d\,x\right)+\frac{3\,a\,b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^{13}}{13}-\frac{18\,a\,b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^{11}}{11}+5\,a\,b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^9-\frac{60\,a\,b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^7}{7}+9\,a\,b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^5-6\,a\,b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^3+3\,a\,b^2\,\mathrm{cosh}\left(c+d\,x\right)+\frac{b^3\,{\mathrm{cosh}\left(c+d\,x\right)}^{17}}{17}-\frac{8\,b^3\,{\mathrm{cosh}\left(c+d\,x\right)}^{15}}{15}+\frac{28\,b^3\,{\mathrm{cosh}\left(c+d\,x\right)}^{13}}{13}-\frac{56\,b^3\,{\mathrm{cosh}\left(c+d\,x\right)}^{11}}{11}+\frac{70\,b^3\,{\mathrm{cosh}\left(c+d\,x\right)}^9}{9}-8\,b^3\,{\mathrm{cosh}\left(c+d\,x\right)}^7+\frac{28\,b^3\,{\mathrm{cosh}\left(c+d\,x\right)}^5}{5}-\frac{8\,b^3\,{\mathrm{cosh}\left(c+d\,x\right)}^3}{3}+b^3\,\mathrm{cosh}\left(c+d\,x\right)}{d}","Not used",1,"(a^3*cosh(c + d*x) + b^3*cosh(c + d*x) - (2*a^3*cosh(c + d*x)^3)/3 + (a^3*cosh(c + d*x)^5)/5 - (8*b^3*cosh(c + d*x)^3)/3 + (28*b^3*cosh(c + d*x)^5)/5 - 8*b^3*cosh(c + d*x)^7 + (70*b^3*cosh(c + d*x)^9)/9 - (56*b^3*cosh(c + d*x)^11)/11 + (28*b^3*cosh(c + d*x)^13)/13 - (8*b^3*cosh(c + d*x)^15)/15 + (b^3*cosh(c + d*x)^17)/17 - 6*a*b^2*cosh(c + d*x)^3 - 4*a^2*b*cosh(c + d*x)^3 + 9*a*b^2*cosh(c + d*x)^5 + (18*a^2*b*cosh(c + d*x)^5)/5 - (60*a*b^2*cosh(c + d*x)^7)/7 - (12*a^2*b*cosh(c + d*x)^7)/7 + 5*a*b^2*cosh(c + d*x)^9 + (a^2*b*cosh(c + d*x)^9)/3 - (18*a*b^2*cosh(c + d*x)^11)/11 + (3*a*b^2*cosh(c + d*x)^13)/13 + 3*a*b^2*cosh(c + d*x) + 3*a^2*b*cosh(c + d*x))/d","B"
208,1,266,183,1.325749,"\text{Not used}","int(sinh(c + d*x)^3*(a + b*sinh(c + d*x)^4)^3,x)","-\frac{-\frac{a^3\,{\mathrm{cosh}\left(c+d\,x\right)}^3}{3}+a^3\,\mathrm{cosh}\left(c+d\,x\right)-\frac{3\,a^2\,b\,{\mathrm{cosh}\left(c+d\,x\right)}^7}{7}+\frac{9\,a^2\,b\,{\mathrm{cosh}\left(c+d\,x\right)}^5}{5}-3\,a^2\,b\,{\mathrm{cosh}\left(c+d\,x\right)}^3+3\,a^2\,b\,\mathrm{cosh}\left(c+d\,x\right)-\frac{3\,a\,b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^{11}}{11}+\frac{5\,a\,b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^9}{3}-\frac{30\,a\,b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^7}{7}+6\,a\,b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^5-5\,a\,b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^3+3\,a\,b^2\,\mathrm{cosh}\left(c+d\,x\right)-\frac{b^3\,{\mathrm{cosh}\left(c+d\,x\right)}^{15}}{15}+\frac{7\,b^3\,{\mathrm{cosh}\left(c+d\,x\right)}^{13}}{13}-\frac{21\,b^3\,{\mathrm{cosh}\left(c+d\,x\right)}^{11}}{11}+\frac{35\,b^3\,{\mathrm{cosh}\left(c+d\,x\right)}^9}{9}-5\,b^3\,{\mathrm{cosh}\left(c+d\,x\right)}^7+\frac{21\,b^3\,{\mathrm{cosh}\left(c+d\,x\right)}^5}{5}-\frac{7\,b^3\,{\mathrm{cosh}\left(c+d\,x\right)}^3}{3}+b^3\,\mathrm{cosh}\left(c+d\,x\right)}{d}","Not used",1,"-(a^3*cosh(c + d*x) + b^3*cosh(c + d*x) - (a^3*cosh(c + d*x)^3)/3 - (7*b^3*cosh(c + d*x)^3)/3 + (21*b^3*cosh(c + d*x)^5)/5 - 5*b^3*cosh(c + d*x)^7 + (35*b^3*cosh(c + d*x)^9)/9 - (21*b^3*cosh(c + d*x)^11)/11 + (7*b^3*cosh(c + d*x)^13)/13 - (b^3*cosh(c + d*x)^15)/15 - 5*a*b^2*cosh(c + d*x)^3 - 3*a^2*b*cosh(c + d*x)^3 + 6*a*b^2*cosh(c + d*x)^5 + (9*a^2*b*cosh(c + d*x)^5)/5 - (30*a*b^2*cosh(c + d*x)^7)/7 - (3*a^2*b*cosh(c + d*x)^7)/7 + (5*a*b^2*cosh(c + d*x)^9)/3 - (3*a*b^2*cosh(c + d*x)^11)/11 + 3*a*b^2*cosh(c + d*x) + 3*a^2*b*cosh(c + d*x))/d","B"
209,1,211,143,1.068601,"\text{Not used}","int(sinh(c + d*x)*(a + b*sinh(c + d*x)^4)^3,x)","\frac{a^3\,\mathrm{cosh}\left(c+d\,x\right)+\frac{3\,a^2\,b\,{\mathrm{cosh}\left(c+d\,x\right)}^5}{5}-2\,a^2\,b\,{\mathrm{cosh}\left(c+d\,x\right)}^3+3\,a^2\,b\,\mathrm{cosh}\left(c+d\,x\right)+\frac{a\,b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^9}{3}-\frac{12\,a\,b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^7}{7}+\frac{18\,a\,b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^5}{5}-4\,a\,b^2\,{\mathrm{cosh}\left(c+d\,x\right)}^3+3\,a\,b^2\,\mathrm{cosh}\left(c+d\,x\right)+\frac{b^3\,{\mathrm{cosh}\left(c+d\,x\right)}^{13}}{13}-\frac{6\,b^3\,{\mathrm{cosh}\left(c+d\,x\right)}^{11}}{11}+\frac{5\,b^3\,{\mathrm{cosh}\left(c+d\,x\right)}^9}{3}-\frac{20\,b^3\,{\mathrm{cosh}\left(c+d\,x\right)}^7}{7}+3\,b^3\,{\mathrm{cosh}\left(c+d\,x\right)}^5-2\,b^3\,{\mathrm{cosh}\left(c+d\,x\right)}^3+b^3\,\mathrm{cosh}\left(c+d\,x\right)}{d}","Not used",1,"(a^3*cosh(c + d*x) + b^3*cosh(c + d*x) - 2*b^3*cosh(c + d*x)^3 + 3*b^3*cosh(c + d*x)^5 - (20*b^3*cosh(c + d*x)^7)/7 + (5*b^3*cosh(c + d*x)^9)/3 - (6*b^3*cosh(c + d*x)^11)/11 + (b^3*cosh(c + d*x)^13)/13 - 4*a*b^2*cosh(c + d*x)^3 - 2*a^2*b*cosh(c + d*x)^3 + (18*a*b^2*cosh(c + d*x)^5)/5 + (3*a^2*b*cosh(c + d*x)^5)/5 - (12*a*b^2*cosh(c + d*x)^7)/7 + (a*b^2*cosh(c + d*x)^9)/3 + 3*a*b^2*cosh(c + d*x) + 3*a^2*b*cosh(c + d*x))/d","B"
210,1,326,158,0.652453,"\text{Not used}","int((a + b*sinh(c + d*x)^4)^3/sinh(c + d*x),x)","\frac{{\mathrm{e}}^{-3\,c-3\,d\,x}\,\left(128\,a^2\,b+168\,a\,b^2+55\,b^3\right)}{1024\,d}-\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{{\mathrm{e}}^{3\,c+3\,d\,x}\,\left(128\,a^2\,b+168\,a\,b^2+55\,b^3\right)}{1024\,d}-\frac{11\,b^3\,{\mathrm{e}}^{-9\,c-9\,d\,x}}{18432\,d}-\frac{11\,b^3\,{\mathrm{e}}^{9\,c+9\,d\,x}}{18432\,d}+\frac{b^3\,{\mathrm{e}}^{-11\,c-11\,d\,x}}{22528\,d}+\frac{b^3\,{\mathrm{e}}^{11\,c+11\,d\,x}}{22528\,d}-\frac{3\,b\,{\mathrm{e}}^{-c-d\,x}\,\left(384\,a^2+280\,a\,b+77\,b^2\right)}{1024\,d}+\frac{b^2\,{\mathrm{e}}^{-7\,c-7\,d\,x}\,\left(48\,a+55\,b\right)}{14336\,d}+\frac{b^2\,{\mathrm{e}}^{7\,c+7\,d\,x}\,\left(48\,a+55\,b\right)}{14336\,d}-\frac{3\,b^2\,{\mathrm{e}}^{-5\,c-5\,d\,x}\,\left(112\,a+55\,b\right)}{10240\,d}-\frac{3\,b^2\,{\mathrm{e}}^{5\,c+5\,d\,x}\,\left(112\,a+55\,b\right)}{10240\,d}-\frac{3\,b\,{\mathrm{e}}^{c+d\,x}\,\left(384\,a^2+280\,a\,b+77\,b^2\right)}{1024\,d}","Not used",1,"(exp(- 3*c - 3*d*x)*(168*a*b^2 + 128*a^2*b + 55*b^3))/(1024*d) - (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) + (exp(3*c + 3*d*x)*(168*a*b^2 + 128*a^2*b + 55*b^3))/(1024*d) - (11*b^3*exp(- 9*c - 9*d*x))/(18432*d) - (11*b^3*exp(9*c + 9*d*x))/(18432*d) + (b^3*exp(- 11*c - 11*d*x))/(22528*d) + (b^3*exp(11*c + 11*d*x))/(22528*d) - (3*b*exp(- c - d*x)*(280*a*b + 384*a^2 + 77*b^2))/(1024*d) + (b^2*exp(- 7*c - 7*d*x)*(48*a + 55*b))/(14336*d) + (b^2*exp(7*c + 7*d*x)*(48*a + 55*b))/(14336*d) - (3*b^2*exp(- 5*c - 5*d*x)*(112*a + 55*b))/(10240*d) - (3*b^2*exp(5*c + 5*d*x)*(112*a + 55*b))/(10240*d) - (3*b*exp(c + d*x)*(280*a*b + 384*a^2 + 77*b^2))/(1024*d)","B"
211,1,326,148,1.188640,"\text{Not used}","int((a + b*sinh(c + d*x)^4)^3/sinh(c + d*x)^3,x)","\frac{\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{9\,b^3\,{\mathrm{e}}^{-7\,c-7\,d\,x}}{3584\,d}-\frac{9\,b^3\,{\mathrm{e}}^{7\,c+7\,d\,x}}{3584\,d}+\frac{b^3\,{\mathrm{e}}^{-9\,c-9\,d\,x}}{4608\,d}+\frac{b^3\,{\mathrm{e}}^{9\,c+9\,d\,x}}{4608\,d}+\frac{3\,b\,{\mathrm{e}}^{-c-d\,x}\,\left(128\,a^2+80\,a\,b+21\,b^2\right)}{256\,d}+\frac{3\,b^2\,{\mathrm{e}}^{-5\,c-5\,d\,x}\,\left(4\,a+3\,b\right)}{640\,d}+\frac{3\,b^2\,{\mathrm{e}}^{5\,c+5\,d\,x}\,\left(4\,a+3\,b\right)}{640\,d}-\frac{b^2\,{\mathrm{e}}^{-3\,c-3\,d\,x}\,\left(20\,a+7\,b\right)}{128\,d}-\frac{b^2\,{\mathrm{e}}^{3\,c+3\,d\,x}\,\left(20\,a+7\,b\right)}{128\,d}+\frac{3\,b\,{\mathrm{e}}^{c+d\,x}\,\left(128\,a^2+80\,a\,b+21\,b^2\right)}{256\,d}-\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)}","Not used",1,"(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) - (9*b^3*exp(- 7*c - 7*d*x))/(3584*d) - (9*b^3*exp(7*c + 7*d*x))/(3584*d) + (b^3*exp(- 9*c - 9*d*x))/(4608*d) + (b^3*exp(9*c + 9*d*x))/(4608*d) + (3*b*exp(- c - d*x)*(80*a*b + 128*a^2 + 21*b^2))/(256*d) + (3*b^2*exp(- 5*c - 5*d*x)*(4*a + 3*b))/(640*d) + (3*b^2*exp(5*c + 5*d*x)*(4*a + 3*b))/(640*d) - (b^2*exp(- 3*c - 3*d*x)*(20*a + 7*b))/(128*d) - (b^2*exp(3*c + 3*d*x)*(20*a + 7*b))/(128*d) + (3*b*exp(c + d*x)*(80*a*b + 128*a^2 + 21*b^2))/(256*d) - (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"
212,1,421,142,1.154400,"\text{Not used}","int((a + b*sinh(c + d*x)^4)^3/sinh(c + d*x)^5,x)","\frac{b^3\,{\mathrm{e}}^{-7\,c-7\,d\,x}}{896\,d}-\frac{7\,b^3\,{\mathrm{e}}^{-5\,c-5\,d\,x}}{640\,d}-\frac{7\,b^3\,{\mathrm{e}}^{5\,c+5\,d\,x}}{640\,d}-\frac{3\,\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(a^3\,\sqrt{-d^2}+8\,a^2\,b\,\sqrt{-d^2}\right)}{d\,\sqrt{a^6+16\,a^5\,b+64\,a^4\,b^2}}\right)\,\sqrt{a^6+16\,a^5\,b+64\,a^4\,b^2}}{4\,\sqrt{-d^2}}+\frac{b^3\,{\mathrm{e}}^{7\,c+7\,d\,x}}{896\,d}-\frac{6\,a^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{b^2\,{\mathrm{e}}^{c+d\,x}\,\left(144\,a+35\,b\right)}{128\,d}-\frac{4\,a^3\,{\mathrm{e}}^{c+d\,x}}{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{b^2\,{\mathrm{e}}^{-3\,c-3\,d\,x}\,\left(16\,a+7\,b\right)}{128\,d}+\frac{b^2\,{\mathrm{e}}^{3\,c+3\,d\,x}\,\left(16\,a+7\,b\right)}{128\,d}-\frac{b^2\,{\mathrm{e}}^{-c-d\,x}\,\left(144\,a+35\,b\right)}{128\,d}+\frac{3\,a^3\,{\mathrm{e}}^{c+d\,x}}{4\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{a^3\,{\mathrm{e}}^{c+d\,x}}{2\,d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"(b^3*exp(- 7*c - 7*d*x))/(896*d) - (7*b^3*exp(- 5*c - 5*d*x))/(640*d) - (7*b^3*exp(5*c + 5*d*x))/(640*d) - (3*atan((exp(d*x)*exp(c)*(a^3*(-d^2)^(1/2) + 8*a^2*b*(-d^2)^(1/2)))/(d*(16*a^5*b + a^6 + 64*a^4*b^2)^(1/2)))*(16*a^5*b + a^6 + 64*a^4*b^2)^(1/2))/(4*(-d^2)^(1/2)) + (b^3*exp(7*c + 7*d*x))/(896*d) - (6*a^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)) - (b^2*exp(c + d*x)*(144*a + 35*b))/(128*d) - (4*a^3*exp(c + d*x))/(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^2*exp(- 3*c - 3*d*x)*(16*a + 7*b))/(128*d) + (b^2*exp(3*c + 3*d*x)*(16*a + 7*b))/(128*d) - (b^2*exp(- c - d*x)*(144*a + 35*b))/(128*d) + (3*a^3*exp(c + d*x))/(4*d*(exp(2*c + 2*d*x) - 1)) - (a^3*exp(c + d*x))/(2*d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1))","B"
213,1,633,156,1.135100,"\text{Not used}","int((a + b*sinh(c + d*x)^4)^3/sinh(c + d*x)^7,x)","\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(5\,a^3\,\sqrt{-d^2}+24\,a^2\,b\,\sqrt{-d^2}\right)}{d\,\sqrt{25\,a^6+240\,a^5\,b+576\,a^4\,b^2}}\right)\,\sqrt{25\,a^6+240\,a^5\,b+576\,a^4\,b^2}}{8\,\sqrt{-d^2}}-\frac{\frac{4\,{\mathrm{e}}^{5\,c+5\,d\,x}\,\left(8\,a^3+9\,b\,a^2\right)}{3\,d}-\frac{8\,a^2\,b\,{\mathrm{e}}^{3\,c+3\,d\,x}}{d}-\frac{8\,a^2\,b\,{\mathrm{e}}^{7\,c+7\,d\,x}}{d}+\frac{2\,a^2\,b\,{\mathrm{e}}^{9\,c+9\,d\,x}}{d}+\frac{2\,a^2\,b\,{\mathrm{e}}^{c+d\,x}}{d}}{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}-\frac{5\,b^3\,{\mathrm{e}}^{-3\,c-3\,d\,x}}{96\,d}-\frac{5\,b^3\,{\mathrm{e}}^{3\,c+3\,d\,x}}{96\,d}+\frac{b^3\,{\mathrm{e}}^{-5\,c-5\,d\,x}}{160\,d}+\frac{b^3\,{\mathrm{e}}^{5\,c+5\,d\,x}}{160\,d}-\frac{{\mathrm{e}}^{c+d\,x}\,\left(5\,a^3+24\,b\,a^2\right)}{8\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{a^3\,{\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{b^2\,{\mathrm{e}}^{c+d\,x}\,\left(24\,a+5\,b\right)}{16\,d}-\frac{{\mathrm{e}}^{c+d\,x}\,\left(48\,a^2\,b-5\,a^3\right)}{12\,d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{22\,a^3\,{\mathrm{e}}^{c+d\,x}}{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)}-\frac{16\,a^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{b^2\,{\mathrm{e}}^{-c-d\,x}\,\left(24\,a+5\,b\right)}{16\,d}","Not used",1,"(atan((exp(d*x)*exp(c)*(5*a^3*(-d^2)^(1/2) + 24*a^2*b*(-d^2)^(1/2)))/(d*(240*a^5*b + 25*a^6 + 576*a^4*b^2)^(1/2)))*(240*a^5*b + 25*a^6 + 576*a^4*b^2)^(1/2))/(8*(-d^2)^(1/2)) - ((4*exp(5*c + 5*d*x)*(9*a^2*b + 8*a^3))/(3*d) - (8*a^2*b*exp(3*c + 3*d*x))/d - (8*a^2*b*exp(7*c + 7*d*x))/d + (2*a^2*b*exp(9*c + 9*d*x))/d + (2*a^2*b*exp(c + d*x))/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) - (5*b^3*exp(- 3*c - 3*d*x))/(96*d) - (5*b^3*exp(3*c + 3*d*x))/(96*d) + (b^3*exp(- 5*c - 5*d*x))/(160*d) + (b^3*exp(5*c + 5*d*x))/(160*d) - (exp(c + d*x)*(24*a^2*b + 5*a^3))/(8*d*(exp(2*c + 2*d*x) - 1)) - (a^3*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)) + (b^2*exp(c + d*x)*(24*a + 5*b))/(16*d) - (exp(c + d*x)*(48*a^2*b - 5*a^3))/(12*d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) - (22*a^3*exp(c + d*x))/(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)) - (16*a^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)) + (b^2*exp(- c - d*x)*(24*a + 5*b))/(16*d)","B"
214,1,759,171,1.119363,"\text{Not used}","int((a + b*sinh(c + d*x)^4)^3/sinh(c + d*x)^9,x)","\frac{b^3\,{\mathrm{e}}^{-3\,c-3\,d\,x}}{24\,d}-\frac{3\,b^3\,{\mathrm{e}}^{-c-d\,x}}{8\,d}-\frac{3\,b^3\,{\mathrm{e}}^{c+d\,x}}{8\,d}+\frac{b^3\,{\mathrm{e}}^{3\,c+3\,d\,x}}{24\,d}-\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(35\,a^3\,\sqrt{-d^2}+384\,a\,b^2\,\sqrt{-d^2}+144\,a^2\,b\,\sqrt{-d^2}\right)}{d\,\sqrt{1225\,a^6+10080\,a^5\,b+47616\,a^4\,b^2+110592\,a^3\,b^3+147456\,a^2\,b^4}}\right)\,\sqrt{1225\,a^6+10080\,a^5\,b+47616\,a^4\,b^2+110592\,a^3\,b^3+147456\,a^2\,b^4}}{64\,\sqrt{-d^2}}+\frac{{\mathrm{e}}^{c+d\,x}\,\left(35\,a^3+144\,b\,a^2\right)}{64\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{{\mathrm{e}}^{c+d\,x}\,\left(a^3+48\,b\,a^2\right)}{4\,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{{\mathrm{e}}^{c+d\,x}\,\left(35\,a^3+144\,b\,a^2\right)}{96\,d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{{\mathrm{e}}^{c+d\,x}\,\left(432\,a^2\,b-7\,a^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{170\,a^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{404\,a^3\,{\mathrm{e}}^{c+d\,x}}{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{112\,a^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{32\,a^3\,{\mathrm{e}}^{c+d\,x}}{d\,\left(28\,{\mathrm{e}}^{4\,c+4\,d\,x}-8\,{\mathrm{e}}^{2\,c+2\,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,"(b^3*exp(- 3*c - 3*d*x))/(24*d) - (3*b^3*exp(- c - d*x))/(8*d) - (3*b^3*exp(c + d*x))/(8*d) + (b^3*exp(3*c + 3*d*x))/(24*d) - (atan((exp(d*x)*exp(c)*(35*a^3*(-d^2)^(1/2) + 384*a*b^2*(-d^2)^(1/2) + 144*a^2*b*(-d^2)^(1/2)))/(d*(10080*a^5*b + 1225*a^6 + 147456*a^2*b^4 + 110592*a^3*b^3 + 47616*a^4*b^2)^(1/2)))*(10080*a^5*b + 1225*a^6 + 147456*a^2*b^4 + 110592*a^3*b^3 + 47616*a^4*b^2)^(1/2))/(64*(-d^2)^(1/2)) + (exp(c + d*x)*(144*a^2*b + 35*a^3))/(64*d*(exp(2*c + 2*d*x) - 1)) - (exp(c + d*x)*(48*a^2*b + a^3))/(4*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)) - (exp(c + d*x)*(144*a^2*b + 35*a^3))/(96*d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) - (exp(c + d*x)*(432*a^2*b - 7*a^3))/(24*d*(3*exp(2*c + 2*d*x) - 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) - 1)) - (170*a^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)) - (404*a^3*exp(c + d*x))/(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)) - (112*a^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)) - (32*a^3*exp(c + d*x))/(d*(28*exp(4*c + 4*d*x) - 8*exp(2*c + 2*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"
215,1,1194,189,1.113606,"\text{Not used}","int((a + b*sinh(c + d*x)^4)^3/sinh(c + d*x)^11,x)","\frac{b^3\,{\mathrm{e}}^{c+d\,x}}{2\,d}-\frac{\frac{24\,{\mathrm{e}}^{5\,c+5\,d\,x}\,\left(4\,a^2\,b+7\,a\,b^2\right)}{5\,d}-\frac{48\,{\mathrm{e}}^{7\,c+7\,d\,x}\,\left(8\,a^2\,b+7\,a\,b^2\right)}{5\,d}-\frac{48\,{\mathrm{e}}^{11\,c+11\,d\,x}\,\left(8\,a^2\,b+7\,a\,b^2\right)}{5\,d}+\frac{24\,{\mathrm{e}}^{13\,c+13\,d\,x}\,\left(4\,a^2\,b+7\,a\,b^2\right)}{5\,d}+\frac{4\,{\mathrm{e}}^{9\,c+9\,d\,x}\,\left(128\,a^3+144\,a^2\,b+105\,a\,b^2\right)}{5\,d}-\frac{48\,a\,b^2\,{\mathrm{e}}^{3\,c+3\,d\,x}}{5\,d}-\frac{48\,a\,b^2\,{\mathrm{e}}^{15\,c+15\,d\,x}}{5\,d}+\frac{6\,a\,b^2\,{\mathrm{e}}^{17\,c+17\,d\,x}}{5\,d}+\frac{6\,a\,b^2\,{\mathrm{e}}^{c+d\,x}}{5\,d}}{45\,{\mathrm{e}}^{4\,c+4\,d\,x}-10\,{\mathrm{e}}^{2\,c+2\,d\,x}-120\,{\mathrm{e}}^{6\,c+6\,d\,x}+210\,{\mathrm{e}}^{8\,c+8\,d\,x}-252\,{\mathrm{e}}^{10\,c+10\,d\,x}+210\,{\mathrm{e}}^{12\,c+12\,d\,x}-120\,{\mathrm{e}}^{14\,c+14\,d\,x}+45\,{\mathrm{e}}^{16\,c+16\,d\,x}-10\,{\mathrm{e}}^{18\,c+18\,d\,x}+{\mathrm{e}}^{20\,c+20\,d\,x}+1}+\frac{b^3\,{\mathrm{e}}^{-c-d\,x}}{2\,d}+\frac{3\,\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(21\,a^3\,\sqrt{-d^2}+128\,a\,b^2\,\sqrt{-d^2}+80\,a^2\,b\,\sqrt{-d^2}\right)}{d\,\sqrt{441\,a^6+3360\,a^5\,b+11776\,a^4\,b^2+20480\,a^3\,b^3+16384\,a^2\,b^4}}\right)\,\sqrt{441\,a^6+3360\,a^5\,b+11776\,a^4\,b^2+20480\,a^3\,b^3+16384\,a^2\,b^4}}{128\,\sqrt{-d^2}}-\frac{{\mathrm{e}}^{c+d\,x}\,\left(a^3+208\,b\,a^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{{\mathrm{e}}^{c+d\,x}\,\left(21\,a^3+80\,b\,a^2\right)}{80\,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{3\,{\mathrm{e}}^{c+d\,x}\,\left(464\,a^2\,b-3\,a^3\right)}{40\,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{3\,{\mathrm{e}}^{c+d\,x}\,\left(21\,a^3+80\,a^2\,b+128\,a\,b^2\right)}{128\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{1032\,a^3\,{\mathrm{e}}^{c+d\,x}}{5\,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(105\,a^3+400\,a^2\,b-1536\,a\,b^2\right)}{320\,d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{2\,{\mathrm{e}}^{c+d\,x}\,\left(209\,a^3+32\,b\,a^2\right)}{5\,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{176\,a^3\,{\mathrm{e}}^{c+d\,x}}{d\,\left(28\,{\mathrm{e}}^{4\,c+4\,d\,x}-8\,{\mathrm{e}}^{2\,c+2\,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{256\,a^3\,{\mathrm{e}}^{c+d\,x}}{5\,d\,\left(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\right)}","Not used",1,"(b^3*exp(c + d*x))/(2*d) - ((24*exp(5*c + 5*d*x)*(7*a*b^2 + 4*a^2*b))/(5*d) - (48*exp(7*c + 7*d*x)*(7*a*b^2 + 8*a^2*b))/(5*d) - (48*exp(11*c + 11*d*x)*(7*a*b^2 + 8*a^2*b))/(5*d) + (24*exp(13*c + 13*d*x)*(7*a*b^2 + 4*a^2*b))/(5*d) + (4*exp(9*c + 9*d*x)*(105*a*b^2 + 144*a^2*b + 128*a^3))/(5*d) - (48*a*b^2*exp(3*c + 3*d*x))/(5*d) - (48*a*b^2*exp(15*c + 15*d*x))/(5*d) + (6*a*b^2*exp(17*c + 17*d*x))/(5*d) + (6*a*b^2*exp(c + d*x))/(5*d))/(45*exp(4*c + 4*d*x) - 10*exp(2*c + 2*d*x) - 120*exp(6*c + 6*d*x) + 210*exp(8*c + 8*d*x) - 252*exp(10*c + 10*d*x) + 210*exp(12*c + 12*d*x) - 120*exp(14*c + 14*d*x) + 45*exp(16*c + 16*d*x) - 10*exp(18*c + 18*d*x) + exp(20*c + 20*d*x) + 1) + (b^3*exp(- c - d*x))/(2*d) + (3*atan((exp(d*x)*exp(c)*(21*a^3*(-d^2)^(1/2) + 128*a*b^2*(-d^2)^(1/2) + 80*a^2*b*(-d^2)^(1/2)))/(d*(3360*a^5*b + 441*a^6 + 16384*a^2*b^4 + 20480*a^3*b^3 + 11776*a^4*b^2)^(1/2)))*(3360*a^5*b + 441*a^6 + 16384*a^2*b^4 + 20480*a^3*b^3 + 11776*a^4*b^2)^(1/2))/(128*(-d^2)^(1/2)) - (exp(c + d*x)*(208*a^2*b + 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)) - (exp(c + d*x)*(80*a^2*b + 21*a^3))/(80*d*(3*exp(2*c + 2*d*x) - 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) - 1)) - (3*exp(c + d*x)*(464*a^2*b - 3*a^3))/(40*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)) - (3*exp(c + d*x)*(128*a*b^2 + 80*a^2*b + 21*a^3))/(128*d*(exp(2*c + 2*d*x) - 1)) - (1032*a^3*exp(c + d*x))/(5*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)*(400*a^2*b - 1536*a*b^2 + 105*a^3))/(320*d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) - (2*exp(c + d*x)*(32*a^2*b + 209*a^3))/(5*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)) - (176*a^3*exp(c + d*x))/(d*(28*exp(4*c + 4*d*x) - 8*exp(2*c + 2*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)) - (256*a^3*exp(c + d*x))/(5*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))","B"
216,1,1314,220,1.103134,"\text{Not used}","int((a + b*sinh(c + d*x)^4)^3/sinh(c + d*x)^13,x)","\frac{3\,{\mathrm{e}}^{c+d\,x}\,\left(77\,a^3+280\,a^2\,b+384\,a\,b^2\right)}{512\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{5632\,a^3\,{\mathrm{e}}^{c+d\,x}}{3\,d\,\left(11\,{\mathrm{e}}^{2\,c+2\,d\,x}-55\,{\mathrm{e}}^{4\,c+4\,d\,x}+165\,{\mathrm{e}}^{6\,c+6\,d\,x}-330\,{\mathrm{e}}^{8\,c+8\,d\,x}+462\,{\mathrm{e}}^{10\,c+10\,d\,x}-462\,{\mathrm{e}}^{12\,c+12\,d\,x}+330\,{\mathrm{e}}^{14\,c+14\,d\,x}-165\,{\mathrm{e}}^{16\,c+16\,d\,x}+55\,{\mathrm{e}}^{18\,c+18\,d\,x}-11\,{\mathrm{e}}^{20\,c+20\,d\,x}+{\mathrm{e}}^{22\,c+22\,d\,x}-1\right)}-\frac{1024\,a^3\,{\mathrm{e}}^{c+d\,x}}{3\,d\,\left(66\,{\mathrm{e}}^{4\,c+4\,d\,x}-12\,{\mathrm{e}}^{2\,c+2\,d\,x}-220\,{\mathrm{e}}^{6\,c+6\,d\,x}+495\,{\mathrm{e}}^{8\,c+8\,d\,x}-792\,{\mathrm{e}}^{10\,c+10\,d\,x}+924\,{\mathrm{e}}^{12\,c+12\,d\,x}-792\,{\mathrm{e}}^{14\,c+14\,d\,x}+495\,{\mathrm{e}}^{16\,c+16\,d\,x}-220\,{\mathrm{e}}^{18\,c+18\,d\,x}+66\,{\mathrm{e}}^{20\,c+20\,d\,x}-12\,{\mathrm{e}}^{22\,c+22\,d\,x}+{\mathrm{e}}^{24\,c+24\,d\,x}+1\right)}-\frac{{\mathrm{e}}^{c+d\,x}\,\left(a^3+2424\,b\,a^2\right)}{6\,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{\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(231\,a^3\,\sqrt{-d^2}+1024\,b^3\,\sqrt{-d^2}+1152\,a\,b^2\,\sqrt{-d^2}+840\,a^2\,b\,\sqrt{-d^2}\right)}{d\,\sqrt{53361\,a^6+388080\,a^5\,b+1237824\,a^4\,b^2+2408448\,a^3\,b^3+3047424\,a^2\,b^4+2359296\,a\,b^5+1048576\,b^6}}\right)\,\sqrt{53361\,a^6+388080\,a^5\,b+1237824\,a^4\,b^2+2408448\,a^3\,b^3+3047424\,a^2\,b^4+2359296\,a\,b^5+1048576\,b^6}}{512\,\sqrt{-d^2}}-\frac{{\mathrm{e}}^{c+d\,x}\,\left(10200\,a^2\,b-11\,a^3\right)}{60\,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(77\,a^3+280\,a^2\,b+384\,a\,b^2\right)}{256\,d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}+\frac{{\mathrm{e}}^{c+d\,x}\,\left(77\,a^3+280\,a^2\,b-5760\,a\,b^2\right)}{320\,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{42\,{\mathrm{e}}^{c+d\,x}\,\left(15\,a^3+8\,b\,a^2\right)}{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{23488\,a^3\,{\mathrm{e}}^{c+d\,x}}{5\,d\,\left(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\right)}-\frac{3\,{\mathrm{e}}^{c+d\,x}\,\left(11\,a^3+40\,a^2\,b+640\,a\,b^2\right)}{160\,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\,{\mathrm{e}}^{c+d\,x}\,\left(3361\,a^3+120\,b\,a^2\right)}{5\,d\,\left(28\,{\mathrm{e}}^{4\,c+4\,d\,x}-8\,{\mathrm{e}}^{2\,c+2\,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{20864\,a^3\,{\mathrm{e}}^{c+d\,x}}{5\,d\,\left(45\,{\mathrm{e}}^{4\,c+4\,d\,x}-10\,{\mathrm{e}}^{2\,c+2\,d\,x}-120\,{\mathrm{e}}^{6\,c+6\,d\,x}+210\,{\mathrm{e}}^{8\,c+8\,d\,x}-252\,{\mathrm{e}}^{10\,c+10\,d\,x}+210\,{\mathrm{e}}^{12\,c+12\,d\,x}-120\,{\mathrm{e}}^{14\,c+14\,d\,x}+45\,{\mathrm{e}}^{16\,c+16\,d\,x}-10\,{\mathrm{e}}^{18\,c+18\,d\,x}+{\mathrm{e}}^{20\,c+20\,d\,x}+1\right)}","Not used",1,"(3*exp(c + d*x)*(384*a*b^2 + 280*a^2*b + 77*a^3))/(512*d*(exp(2*c + 2*d*x) - 1)) - (5632*a^3*exp(c + d*x))/(3*d*(11*exp(2*c + 2*d*x) - 55*exp(4*c + 4*d*x) + 165*exp(6*c + 6*d*x) - 330*exp(8*c + 8*d*x) + 462*exp(10*c + 10*d*x) - 462*exp(12*c + 12*d*x) + 330*exp(14*c + 14*d*x) - 165*exp(16*c + 16*d*x) + 55*exp(18*c + 18*d*x) - 11*exp(20*c + 20*d*x) + exp(22*c + 22*d*x) - 1)) - (1024*a^3*exp(c + d*x))/(3*d*(66*exp(4*c + 4*d*x) - 12*exp(2*c + 2*d*x) - 220*exp(6*c + 6*d*x) + 495*exp(8*c + 8*d*x) - 792*exp(10*c + 10*d*x) + 924*exp(12*c + 12*d*x) - 792*exp(14*c + 14*d*x) + 495*exp(16*c + 16*d*x) - 220*exp(18*c + 18*d*x) + 66*exp(20*c + 20*d*x) - 12*exp(22*c + 22*d*x) + exp(24*c + 24*d*x) + 1)) - (exp(c + d*x)*(2424*a^2*b + a^3))/(6*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)) - (atan((exp(d*x)*exp(c)*(231*a^3*(-d^2)^(1/2) + 1024*b^3*(-d^2)^(1/2) + 1152*a*b^2*(-d^2)^(1/2) + 840*a^2*b*(-d^2)^(1/2)))/(d*(2359296*a*b^5 + 388080*a^5*b + 53361*a^6 + 1048576*b^6 + 3047424*a^2*b^4 + 2408448*a^3*b^3 + 1237824*a^4*b^2)^(1/2)))*(2359296*a*b^5 + 388080*a^5*b + 53361*a^6 + 1048576*b^6 + 3047424*a^2*b^4 + 2408448*a^3*b^3 + 1237824*a^4*b^2)^(1/2))/(512*(-d^2)^(1/2)) - (exp(c + d*x)*(10200*a^2*b - 11*a^3))/(60*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)*(384*a*b^2 + 280*a^2*b + 77*a^3))/(256*d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) + (exp(c + d*x)*(280*a^2*b - 5760*a*b^2 + 77*a^3))/(320*d*(3*exp(2*c + 2*d*x) - 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) - 1)) - (42*exp(c + d*x)*(8*a^2*b + 15*a^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)) - (23488*a^3*exp(c + d*x))/(5*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)) - (3*exp(c + d*x)*(640*a*b^2 + 40*a^2*b + 11*a^3))/(160*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*exp(c + d*x)*(120*a^2*b + 3361*a^3))/(5*d*(28*exp(4*c + 4*d*x) - 8*exp(2*c + 2*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)) - (20864*a^3*exp(c + d*x))/(5*d*(45*exp(4*c + 4*d*x) - 10*exp(2*c + 2*d*x) - 120*exp(6*c + 6*d*x) + 210*exp(8*c + 8*d*x) - 252*exp(10*c + 10*d*x) + 210*exp(12*c + 12*d*x) - 120*exp(14*c + 14*d*x) + 45*exp(16*c + 16*d*x) - 10*exp(18*c + 18*d*x) + exp(20*c + 20*d*x) + 1))","B"
217,1,393,255,0.788241,"\text{Not used}","int(sinh(c + d*x)^2*(a + b*sinh(c + d*x)^4)^3,x)","\frac{{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(768\,a^2\,b+2160\,a\,b^2+1001\,b^3\right)}{98304\,d}-\frac{{\mathrm{e}}^{-6\,c-6\,d\,x}\,\left(768\,a^2\,b+2160\,a\,b^2+1001\,b^3\right)}{98304\,d}-x\,\left(\frac{a^3}{2}+\frac{15\,a^2\,b}{16}+\frac{189\,a\,b^2}{256}+\frac{429\,b^3}{2048}\right)+\frac{{\mathrm{e}}^{-4\,c-4\,d\,x}\,\left(2304\,a^2\,b+2880\,a\,b^2+1001\,b^3\right)}{32768\,d}-\frac{{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(2304\,a^2\,b+2880\,a\,b^2+1001\,b^3\right)}{32768\,d}-\frac{{\mathrm{e}}^{-2\,c-2\,d\,x}\,\left(4096\,a^3+11520\,a^2\,b+10080\,a\,b^2+3003\,b^3\right)}{32768\,d}+\frac{{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(4096\,a^3+11520\,a^2\,b+10080\,a\,b^2+3003\,b^3\right)}{32768\,d}+\frac{7\,b^3\,{\mathrm{e}}^{-12\,c-12\,d\,x}}{98304\,d}-\frac{7\,b^3\,{\mathrm{e}}^{12\,c+12\,d\,x}}{98304\,d}-\frac{b^3\,{\mathrm{e}}^{-14\,c-14\,d\,x}}{229376\,d}+\frac{b^3\,{\mathrm{e}}^{14\,c+14\,d\,x}}{229376\,d}-\frac{b^2\,{\mathrm{e}}^{-10\,c-10\,d\,x}\,\left(48\,a+91\,b\right)}{163840\,d}+\frac{b^2\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(48\,a+91\,b\right)}{163840\,d}+\frac{b^2\,{\mathrm{e}}^{-8\,c-8\,d\,x}\,\left(120\,a+91\,b\right)}{32768\,d}-\frac{b^2\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(120\,a+91\,b\right)}{32768\,d}","Not used",1,"(exp(6*c + 6*d*x)*(2160*a*b^2 + 768*a^2*b + 1001*b^3))/(98304*d) - (exp(- 6*c - 6*d*x)*(2160*a*b^2 + 768*a^2*b + 1001*b^3))/(98304*d) - x*((189*a*b^2)/256 + (15*a^2*b)/16 + a^3/2 + (429*b^3)/2048) + (exp(- 4*c - 4*d*x)*(2880*a*b^2 + 2304*a^2*b + 1001*b^3))/(32768*d) - (exp(4*c + 4*d*x)*(2880*a*b^2 + 2304*a^2*b + 1001*b^3))/(32768*d) - (exp(- 2*c - 2*d*x)*(10080*a*b^2 + 11520*a^2*b + 4096*a^3 + 3003*b^3))/(32768*d) + (exp(2*c + 2*d*x)*(10080*a*b^2 + 11520*a^2*b + 4096*a^3 + 3003*b^3))/(32768*d) + (7*b^3*exp(- 12*c - 12*d*x))/(98304*d) - (7*b^3*exp(12*c + 12*d*x))/(98304*d) - (b^3*exp(- 14*c - 14*d*x))/(229376*d) + (b^3*exp(14*c + 14*d*x))/(229376*d) - (b^2*exp(- 10*c - 10*d*x)*(48*a + 91*b))/(163840*d) + (b^2*exp(10*c + 10*d*x)*(48*a + 91*b))/(163840*d) + (b^2*exp(- 8*c - 8*d*x)*(120*a + 91*b))/(32768*d) - (b^2*exp(8*c + 8*d*x)*(120*a + 91*b))/(32768*d)","B"
218,1,210,211,0.563433,"\text{Not used}","int((a + b*sinh(c + d*x)^4)^3,x)","\frac{\frac{7425\,b^3\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)}{8}-2970\,b^3\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)-275\,b^3\,\mathrm{sinh}\left(6\,c+6\,d\,x\right)+\frac{495\,b^3\,\mathrm{sinh}\left(8\,c+8\,d\,x\right)}{8}-9\,b^3\,\mathrm{sinh}\left(10\,c+10\,d\,x\right)+\frac{5\,b^3\,\mathrm{sinh}\left(12\,c+12\,d\,x\right)}{8}-10080\,a\,b^2\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)-11520\,a^2\,b\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)+2520\,a\,b^2\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)+1440\,a^2\,b\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)-480\,a\,b^2\,\mathrm{sinh}\left(6\,c+6\,d\,x\right)+45\,a\,b^2\,\mathrm{sinh}\left(8\,c+8\,d\,x\right)+15360\,a^3\,d\,x+3465\,b^3\,d\,x+12600\,a\,b^2\,d\,x+17280\,a^2\,b\,d\,x}{15360\,d}","Not used",1,"((7425*b^3*sinh(4*c + 4*d*x))/8 - 2970*b^3*sinh(2*c + 2*d*x) - 275*b^3*sinh(6*c + 6*d*x) + (495*b^3*sinh(8*c + 8*d*x))/8 - 9*b^3*sinh(10*c + 10*d*x) + (5*b^3*sinh(12*c + 12*d*x))/8 - 10080*a*b^2*sinh(2*c + 2*d*x) - 11520*a^2*b*sinh(2*c + 2*d*x) + 2520*a*b^2*sinh(4*c + 4*d*x) + 1440*a^2*b*sinh(4*c + 4*d*x) - 480*a*b^2*sinh(6*c + 6*d*x) + 45*a*b^2*sinh(8*c + 8*d*x) + 15360*a^3*d*x + 3465*b^3*d*x + 12600*a*b^2*d*x + 17280*a^2*b*d*x)/(15360*d)","B"
219,1,265,181,1.086281,"\text{Not used}","int((a + b*sinh(c + d*x)^4)^3/sinh(c + d*x)^2,x)","\frac{5\,b^3\,{\mathrm{e}}^{-8\,c-8\,d\,x}}{4096\,d}-\frac{2\,a^3}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{5\,b^3\,{\mathrm{e}}^{8\,c+8\,d\,x}}{4096\,d}-\frac{b^3\,{\mathrm{e}}^{-10\,c-10\,d\,x}}{10240\,d}+\frac{b^3\,{\mathrm{e}}^{10\,c+10\,d\,x}}{10240\,d}-\frac{3\,b\,x\,\left(128\,a^2+80\,a\,b+21\,b^2\right)}{256}-\frac{3\,b\,{\mathrm{e}}^{-2\,c-2\,d\,x}\,\left(128\,a^2+120\,a\,b+35\,b^2\right)}{1024\,d}+\frac{3\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(128\,a^2+120\,a\,b+35\,b^2\right)}{1024\,d}+\frac{3\,b^2\,{\mathrm{e}}^{-4\,c-4\,d\,x}\,\left(12\,a+5\,b\right)}{512\,d}-\frac{3\,b^2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(12\,a+5\,b\right)}{512\,d}-\frac{b^2\,{\mathrm{e}}^{-6\,c-6\,d\,x}\,\left(16\,a+15\,b\right)}{2048\,d}+\frac{b^2\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(16\,a+15\,b\right)}{2048\,d}","Not used",1,"(5*b^3*exp(- 8*c - 8*d*x))/(4096*d) - (2*a^3)/(d*(exp(2*c + 2*d*x) - 1)) - (5*b^3*exp(8*c + 8*d*x))/(4096*d) - (b^3*exp(- 10*c - 10*d*x))/(10240*d) + (b^3*exp(10*c + 10*d*x))/(10240*d) - (3*b*x*(80*a*b + 128*a^2 + 21*b^2))/256 - (3*b*exp(- 2*c - 2*d*x)*(120*a*b + 128*a^2 + 35*b^2))/(1024*d) + (3*b*exp(2*c + 2*d*x)*(120*a*b + 128*a^2 + 35*b^2))/(1024*d) + (3*b^2*exp(- 4*c - 4*d*x)*(12*a + 5*b))/(512*d) - (3*b^2*exp(4*c + 4*d*x)*(12*a + 5*b))/(512*d) - (b^2*exp(- 6*c - 6*d*x)*(16*a + 15*b))/(2048*d) + (b^2*exp(6*c + 6*d*x)*(16*a + 15*b))/(2048*d)","B"
220,1,269,161,1.069321,"\text{Not used}","int((a + b*sinh(c + d*x)^4)^3/sinh(c + d*x)^4,x)","x\,\left(3\,a^2\,b+\frac{9\,a\,b^2}{8}+\frac{35\,b^3}{128}\right)-\frac{4\,a^3}{3\,d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}+\frac{b^3\,{\mathrm{e}}^{-6\,c-6\,d\,x}}{192\,d}-\frac{b^3\,{\mathrm{e}}^{6\,c+6\,d\,x}}{192\,d}-\frac{b^3\,{\mathrm{e}}^{-8\,c-8\,d\,x}}{2048\,d}+\frac{b^3\,{\mathrm{e}}^{8\,c+8\,d\,x}}{2048\,d}-\frac{8\,a^3\,{\mathrm{e}}^{2\,c+2\,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{b^2\,{\mathrm{e}}^{-4\,c-4\,d\,x}\,\left(12\,a+7\,b\right)}{256\,d}+\frac{b^2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(12\,a+7\,b\right)}{256\,d}+\frac{b^2\,{\mathrm{e}}^{-2\,c-2\,d\,x}\,\left(24\,a+7\,b\right)}{64\,d}-\frac{b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(24\,a+7\,b\right)}{64\,d}","Not used",1,"x*((9*a*b^2)/8 + 3*a^2*b + (35*b^3)/128) - (4*a^3)/(3*d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) + (b^3*exp(- 6*c - 6*d*x))/(192*d) - (b^3*exp(6*c + 6*d*x))/(192*d) - (b^3*exp(- 8*c - 8*d*x))/(2048*d) + (b^3*exp(8*c + 8*d*x))/(2048*d) - (8*a^3*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)) - (b^2*exp(- 4*c - 4*d*x)*(12*a + 7*b))/(256*d) + (b^2*exp(4*c + 4*d*x)*(12*a + 7*b))/(256*d) + (b^2*exp(- 2*c - 2*d*x)*(24*a + 7*b))/(64*d) - (b^2*exp(2*c + 2*d*x)*(24*a + 7*b))/(64*d)","B"
221,1,511,148,1.032862,"\text{Not used}","int((a + b*sinh(c + d*x)^4)^3/sinh(c + d*x)^6,x)","\frac{\frac{6\,a^2\,b}{5\,d}-\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(8\,a^3+9\,b\,a^2\right)}{5\,d}+\frac{18\,a^2\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}}{5\,d}-\frac{6\,a^2\,b\,{\mathrm{e}}^{6\,c+6\,d\,x}}{5\,d}}{6\,{\mathrm{e}}^{4\,c+4\,d\,x}-4\,{\mathrm{e}}^{2\,c+2\,d\,x}-4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1}-\frac{\frac{2\,\left(8\,a^3+9\,b\,a^2\right)}{15\,d}-\frac{12\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}}{5\,d}+\frac{6\,a^2\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}}{5\,d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}-3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}-1}-\frac{\frac{6\,a^2\,b}{5\,d}+\frac{4\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(8\,a^3+9\,b\,a^2\right)}{5\,d}-\frac{24\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}}{5\,d}-\frac{24\,a^2\,b\,{\mathrm{e}}^{6\,c+6\,d\,x}}{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{b^2\,x\,\left(24\,a+5\,b\right)}{16}+\frac{3\,b^3\,{\mathrm{e}}^{-4\,c-4\,d\,x}}{128\,d}-\frac{3\,b^3\,{\mathrm{e}}^{4\,c+4\,d\,x}}{128\,d}-\frac{b^3\,{\mathrm{e}}^{-6\,c-6\,d\,x}}{384\,d}+\frac{b^3\,{\mathrm{e}}^{6\,c+6\,d\,x}}{384\,d}-\frac{3\,b^2\,{\mathrm{e}}^{-2\,c-2\,d\,x}\,\left(16\,a+5\,b\right)}{128\,d}+\frac{3\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(16\,a+5\,b\right)}{128\,d}-\frac{12\,a^2\,b}{5\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}","Not used",1,"((6*a^2*b)/(5*d) - (2*exp(2*c + 2*d*x)*(9*a^2*b + 8*a^3))/(5*d) + (18*a^2*b*exp(4*c + 4*d*x))/(5*d) - (6*a^2*b*exp(6*c + 6*d*x))/(5*d))/(6*exp(4*c + 4*d*x) - 4*exp(2*c + 2*d*x) - 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1) - ((2*(9*a^2*b + 8*a^3))/(15*d) - (12*a^2*b*exp(2*c + 2*d*x))/(5*d) + (6*a^2*b*exp(4*c + 4*d*x))/(5*d))/(3*exp(2*c + 2*d*x) - 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) - 1) - ((6*a^2*b)/(5*d) + (4*exp(4*c + 4*d*x)*(9*a^2*b + 8*a^3))/(5*d) - (24*a^2*b*exp(2*c + 2*d*x))/(5*d) - (24*a^2*b*exp(6*c + 6*d*x))/(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) - (b^2*x*(24*a + 5*b))/16 + (3*b^3*exp(- 4*c - 4*d*x))/(128*d) - (3*b^3*exp(4*c + 4*d*x))/(128*d) - (b^3*exp(- 6*c - 6*d*x))/(384*d) + (b^3*exp(6*c + 6*d*x))/(384*d) - (3*b^2*exp(- 2*c - 2*d*x)*(16*a + 5*b))/(128*d) + (3*b^2*exp(2*c + 2*d*x)*(16*a + 5*b))/(128*d) - (12*a^2*b)/(5*d*(exp(2*c + 2*d*x) - 1))","B"
222,1,749,133,1.032036,"\text{Not used}","int((a + b*sinh(c + d*x)^4)^3/sinh(c + d*x)^8,x)","\frac{\frac{32\,a^2\,b}{35\,d}-\frac{16\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(8\,a^3+9\,b\,a^2\right)}{35\,d}+\frac{192\,a^2\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}}{35\,d}-\frac{16\,a^2\,b\,{\mathrm{e}}^{6\,c+6\,d\,x}}{7\,d}}{5\,{\mathrm{e}}^{2\,c+2\,d\,x}-10\,{\mathrm{e}}^{4\,c+4\,d\,x}+10\,{\mathrm{e}}^{6\,c+6\,d\,x}-5\,{\mathrm{e}}^{8\,c+8\,d\,x}+{\mathrm{e}}^{10\,c+10\,d\,x}-1}-\frac{\frac{16\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(8\,a^3+9\,b\,a^2\right)}{7\,d}+\frac{24\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}}{7\,d}-\frac{96\,a^2\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}}{7\,d}-\frac{96\,a^2\,b\,{\mathrm{e}}^{8\,c+8\,d\,x}}{7\,d}+\frac{24\,a^2\,b\,{\mathrm{e}}^{10\,c+10\,d\,x}}{7\,d}}{7\,{\mathrm{e}}^{2\,c+2\,d\,x}-21\,{\mathrm{e}}^{4\,c+4\,d\,x}+35\,{\mathrm{e}}^{6\,c+6\,d\,x}-35\,{\mathrm{e}}^{8\,c+8\,d\,x}+21\,{\mathrm{e}}^{10\,c+10\,d\,x}-7\,{\mathrm{e}}^{12\,c+12\,d\,x}+{\mathrm{e}}^{14\,c+14\,d\,x}-1}-\frac{\frac{4\,a^2\,b}{7\,d}+\frac{8\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(8\,a^3+9\,b\,a^2\right)}{7\,d}-\frac{32\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}}{7\,d}-\frac{64\,a^2\,b\,{\mathrm{e}}^{6\,c+6\,d\,x}}{7\,d}+\frac{20\,a^2\,b\,{\mathrm{e}}^{8\,c+8\,d\,x}}{7\,d}}{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}+\frac{\frac{32\,a^2\,b}{35\,d}-\frac{8\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}}{7\,d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}-3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}-1}-\frac{\frac{4\,\left(8\,a^3+9\,b\,a^2\right)}{35\,d}-\frac{96\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}}{35\,d}+\frac{12\,a^2\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}}{7\,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{3\,b^2\,x\,\left(8\,a+b\right)}{8}+\frac{b^3\,{\mathrm{e}}^{-2\,c-2\,d\,x}}{8\,d}-\frac{b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}}{8\,d}-\frac{b^3\,{\mathrm{e}}^{-4\,c-4\,d\,x}}{64\,d}+\frac{b^3\,{\mathrm{e}}^{4\,c+4\,d\,x}}{64\,d}-\frac{4\,a^2\,b}{7\,d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"((32*a^2*b)/(35*d) - (16*exp(2*c + 2*d*x)*(9*a^2*b + 8*a^3))/(35*d) + (192*a^2*b*exp(4*c + 4*d*x))/(35*d) - (16*a^2*b*exp(6*c + 6*d*x))/(7*d))/(5*exp(2*c + 2*d*x) - 10*exp(4*c + 4*d*x) + 10*exp(6*c + 6*d*x) - 5*exp(8*c + 8*d*x) + exp(10*c + 10*d*x) - 1) - ((16*exp(6*c + 6*d*x)*(9*a^2*b + 8*a^3))/(7*d) + (24*a^2*b*exp(2*c + 2*d*x))/(7*d) - (96*a^2*b*exp(4*c + 4*d*x))/(7*d) - (96*a^2*b*exp(8*c + 8*d*x))/(7*d) + (24*a^2*b*exp(10*c + 10*d*x))/(7*d))/(7*exp(2*c + 2*d*x) - 21*exp(4*c + 4*d*x) + 35*exp(6*c + 6*d*x) - 35*exp(8*c + 8*d*x) + 21*exp(10*c + 10*d*x) - 7*exp(12*c + 12*d*x) + exp(14*c + 14*d*x) - 1) - ((4*a^2*b)/(7*d) + (8*exp(4*c + 4*d*x)*(9*a^2*b + 8*a^3))/(7*d) - (32*a^2*b*exp(2*c + 2*d*x))/(7*d) - (64*a^2*b*exp(6*c + 6*d*x))/(7*d) + (20*a^2*b*exp(8*c + 8*d*x))/(7*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) + ((32*a^2*b)/(35*d) - (8*a^2*b*exp(2*c + 2*d*x))/(7*d))/(3*exp(2*c + 2*d*x) - 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) - 1) - ((4*(9*a^2*b + 8*a^3))/(35*d) - (96*a^2*b*exp(2*c + 2*d*x))/(35*d) + (12*a^2*b*exp(4*c + 4*d*x))/(7*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) + (3*b^2*x*(8*a + b))/8 + (b^3*exp(- 2*c - 2*d*x))/(8*d) - (b^3*exp(2*c + 2*d*x))/(8*d) - (b^3*exp(- 4*c - 4*d*x))/(64*d) + (b^3*exp(4*c + 4*d*x))/(64*d) - (4*a^2*b)/(7*d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1))","B"
223,1,1500,140,1.076914,"\text{Not used}","int((a + b*sinh(c + d*x)^4)^3/sinh(c + d*x)^10,x)","\frac{\frac{2\,a\,b^2}{3\,d}-\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(4\,a^2\,b+7\,a\,b^2\right)}{3\,d}+\frac{2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(8\,a^2\,b+7\,a\,b^2\right)}{d}+\frac{10\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(8\,a^2\,b+7\,a\,b^2\right)}{3\,d}-\frac{2\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(4\,a^2\,b+7\,a\,b^2\right)}{d}-\frac{2\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(128\,a^3+144\,a^2\,b+105\,a\,b^2\right)}{9\,d}+\frac{14\,a\,b^2\,{\mathrm{e}}^{12\,c+12\,d\,x}}{3\,d}-\frac{2\,a\,b^2\,{\mathrm{e}}^{14\,c+14\,d\,x}}{3\,d}}{28\,{\mathrm{e}}^{4\,c+4\,d\,x}-8\,{\mathrm{e}}^{2\,c+2\,d\,x}-56\,{\mathrm{e}}^{6\,c+6\,d\,x}+70\,{\mathrm{e}}^{8\,c+8\,d\,x}-56\,{\mathrm{e}}^{10\,c+10\,d\,x}+28\,{\mathrm{e}}^{12\,c+12\,d\,x}-8\,{\mathrm{e}}^{14\,c+14\,d\,x}+{\mathrm{e}}^{16\,c+16\,d\,x}+1}-\frac{\frac{2\,\left(128\,a^3+144\,a^2\,b+105\,a\,b^2\right)}{315\,d}-\frac{8\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(8\,a^2\,b+7\,a\,b^2\right)}{21\,d}+\frac{4\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(4\,a^2\,b+7\,a\,b^2\right)}{7\,d}-\frac{8\,a\,b^2\,{\mathrm{e}}^{6\,c+6\,d\,x}}{3\,d}+\frac{2\,a\,b^2\,{\mathrm{e}}^{8\,c+8\,d\,x}}{3\,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(4\,a^2\,b+7\,a\,b^2\right)}{21\,d}-\frac{4\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}}{3\,d}+\frac{2\,a\,b^2\,{\mathrm{e}}^{4\,c+4\,d\,x}}{3\,d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}-3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}-1}-\frac{\frac{2\,a\,b^2}{3\,d}+\frac{8\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(4\,a^2\,b+7\,a\,b^2\right)}{3\,d}-\frac{16\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(8\,a^2\,b+7\,a\,b^2\right)}{3\,d}-\frac{16\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(8\,a^2\,b+7\,a\,b^2\right)}{3\,d}+\frac{8\,{\mathrm{e}}^{12\,c+12\,d\,x}\,\left(4\,a^2\,b+7\,a\,b^2\right)}{3\,d}+\frac{4\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(128\,a^3+144\,a^2\,b+105\,a\,b^2\right)}{9\,d}-\frac{16\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}}{3\,d}-\frac{16\,a\,b^2\,{\mathrm{e}}^{14\,c+14\,d\,x}}{3\,d}+\frac{2\,a\,b^2\,{\mathrm{e}}^{16\,c+16\,d\,x}}{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{2\,\left(8\,a^2\,b+7\,a\,b^2\right)}{21\,d}+\frac{20\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(8\,a^2\,b+7\,a\,b^2\right)}{21\,d}-\frac{20\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(4\,a^2\,b+7\,a\,b^2\right)}{21\,d}-\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(128\,a^3+144\,a^2\,b+105\,a\,b^2\right)}{63\,d}+\frac{10\,a\,b^2\,{\mathrm{e}}^{8\,c+8\,d\,x}}{3\,d}-\frac{2\,a\,b^2\,{\mathrm{e}}^{10\,c+10\,d\,x}}{3\,d}}{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}+\frac{\frac{2\,\left(8\,a^2\,b+7\,a\,b^2\right)}{21\,d}-\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(4\,a^2\,b+7\,a\,b^2\right)}{7\,d}+\frac{2\,a\,b^2\,{\mathrm{e}}^{4\,c+4\,d\,x}}{d}-\frac{2\,a\,b^2\,{\mathrm{e}}^{6\,c+6\,d\,x}}{3\,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{b^3\,x}{2}-\frac{\frac{2\,\left(4\,a^2\,b+7\,a\,b^2\right)}{21\,d}-\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(8\,a^2\,b+7\,a\,b^2\right)}{7\,d}-\frac{40\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(8\,a^2\,b+7\,a\,b^2\right)}{21\,d}+\frac{10\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(4\,a^2\,b+7\,a\,b^2\right)}{7\,d}+\frac{2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(128\,a^3+144\,a^2\,b+105\,a\,b^2\right)}{21\,d}-\frac{4\,a\,b^2\,{\mathrm{e}}^{10\,c+10\,d\,x}}{d}+\frac{2\,a\,b^2\,{\mathrm{e}}^{12\,c+12\,d\,x}}{3\,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{b^3\,{\mathrm{e}}^{-2\,c-2\,d\,x}}{8\,d}+\frac{b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}}{8\,d}-\frac{4\,a\,b^2}{3\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}","Not used",1,"((2*a*b^2)/(3*d) - (2*exp(2*c + 2*d*x)*(7*a*b^2 + 4*a^2*b))/(3*d) + (2*exp(4*c + 4*d*x)*(7*a*b^2 + 8*a^2*b))/d + (10*exp(8*c + 8*d*x)*(7*a*b^2 + 8*a^2*b))/(3*d) - (2*exp(10*c + 10*d*x)*(7*a*b^2 + 4*a^2*b))/d - (2*exp(6*c + 6*d*x)*(105*a*b^2 + 144*a^2*b + 128*a^3))/(9*d) + (14*a*b^2*exp(12*c + 12*d*x))/(3*d) - (2*a*b^2*exp(14*c + 14*d*x))/(3*d))/(28*exp(4*c + 4*d*x) - 8*exp(2*c + 2*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*(105*a*b^2 + 144*a^2*b + 128*a^3))/(315*d) - (8*exp(2*c + 2*d*x)*(7*a*b^2 + 8*a^2*b))/(21*d) + (4*exp(4*c + 4*d*x)*(7*a*b^2 + 4*a^2*b))/(7*d) - (8*a*b^2*exp(6*c + 6*d*x))/(3*d) + (2*a*b^2*exp(8*c + 8*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) - ((2*(7*a*b^2 + 4*a^2*b))/(21*d) - (4*a*b^2*exp(2*c + 2*d*x))/(3*d) + (2*a*b^2*exp(4*c + 4*d*x))/(3*d))/(3*exp(2*c + 2*d*x) - 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) - 1) - ((2*a*b^2)/(3*d) + (8*exp(4*c + 4*d*x)*(7*a*b^2 + 4*a^2*b))/(3*d) - (16*exp(6*c + 6*d*x)*(7*a*b^2 + 8*a^2*b))/(3*d) - (16*exp(10*c + 10*d*x)*(7*a*b^2 + 8*a^2*b))/(3*d) + (8*exp(12*c + 12*d*x)*(7*a*b^2 + 4*a^2*b))/(3*d) + (4*exp(8*c + 8*d*x)*(105*a*b^2 + 144*a^2*b + 128*a^3))/(9*d) - (16*a*b^2*exp(2*c + 2*d*x))/(3*d) - (16*a*b^2*exp(14*c + 14*d*x))/(3*d) + (2*a*b^2*exp(16*c + 16*d*x))/(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) + ((2*(7*a*b^2 + 8*a^2*b))/(21*d) + (20*exp(4*c + 4*d*x)*(7*a*b^2 + 8*a^2*b))/(21*d) - (20*exp(6*c + 6*d*x)*(7*a*b^2 + 4*a^2*b))/(21*d) - (2*exp(2*c + 2*d*x)*(105*a*b^2 + 144*a^2*b + 128*a^3))/(63*d) + (10*a*b^2*exp(8*c + 8*d*x))/(3*d) - (2*a*b^2*exp(10*c + 10*d*x))/(3*d))/(15*exp(4*c + 4*d*x) - 6*exp(2*c + 2*d*x) - 20*exp(6*c + 6*d*x) + 15*exp(8*c + 8*d*x) - 6*exp(10*c + 10*d*x) + exp(12*c + 12*d*x) + 1) + ((2*(7*a*b^2 + 8*a^2*b))/(21*d) - (2*exp(2*c + 2*d*x)*(7*a*b^2 + 4*a^2*b))/(7*d) + (2*a*b^2*exp(4*c + 4*d*x))/d - (2*a*b^2*exp(6*c + 6*d*x))/(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^3*x)/2 - ((2*(7*a*b^2 + 4*a^2*b))/(21*d) - (4*exp(2*c + 2*d*x)*(7*a*b^2 + 8*a^2*b))/(7*d) - (40*exp(6*c + 6*d*x)*(7*a*b^2 + 8*a^2*b))/(21*d) + (10*exp(8*c + 8*d*x)*(7*a*b^2 + 4*a^2*b))/(7*d) + (2*exp(4*c + 4*d*x)*(105*a*b^2 + 144*a^2*b + 128*a^3))/(21*d) - (4*a*b^2*exp(10*c + 10*d*x))/d + (2*a*b^2*exp(12*c + 12*d*x))/(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) - (b^3*exp(- 2*c - 2*d*x))/(8*d) + (b^3*exp(2*c + 2*d*x))/(8*d) - (4*a*b^2)/(3*d*(exp(2*c + 2*d*x) - 1))","B"
224,1,1955,147,0.978702,"\text{Not used}","int((a + b*sinh(c + d*x)^4)^3/sinh(c + d*x)^12,x)","\frac{\frac{64\,a\,b^2}{165\,d}-\frac{32\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(4\,a^2\,b+7\,a\,b^2\right)}{55\,d}+\frac{128\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(8\,a^2\,b+7\,a\,b^2\right)}{55\,d}+\frac{64\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(8\,a^2\,b+7\,a\,b^2\right)}{11\,d}-\frac{224\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(4\,a^2\,b+7\,a\,b^2\right)}{55\,d}-\frac{32\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(128\,a^3+144\,a^2\,b+105\,a\,b^2\right)}{99\,d}+\frac{1792\,a\,b^2\,{\mathrm{e}}^{12\,c+12\,d\,x}}{165\,d}-\frac{96\,a\,b^2\,{\mathrm{e}}^{14\,c+14\,d\,x}}{55\,d}}{9\,{\mathrm{e}}^{2\,c+2\,d\,x}-36\,{\mathrm{e}}^{4\,c+4\,d\,x}+84\,{\mathrm{e}}^{6\,c+6\,d\,x}-126\,{\mathrm{e}}^{8\,c+8\,d\,x}+126\,{\mathrm{e}}^{10\,c+10\,d\,x}-84\,{\mathrm{e}}^{12\,c+12\,d\,x}+36\,{\mathrm{e}}^{14\,c+14\,d\,x}-9\,{\mathrm{e}}^{16\,c+16\,d\,x}+{\mathrm{e}}^{18\,c+18\,d\,x}-1}-\frac{\frac{4\,\left(128\,a^3+144\,a^2\,b+105\,a\,b^2\right)}{693\,d}-\frac{32\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(8\,a^2\,b+7\,a\,b^2\right)}{77\,d}+\frac{8\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(4\,a^2\,b+7\,a\,b^2\right)}{11\,d}-\frac{128\,a\,b^2\,{\mathrm{e}}^{6\,c+6\,d\,x}}{33\,d}+\frac{12\,a\,b^2\,{\mathrm{e}}^{8\,c+8\,d\,x}}{11\,d}}{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}-\frac{\frac{4\,\left(4\,a^2\,b+7\,a\,b^2\right)}{55\,d}-\frac{32\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(8\,a^2\,b+7\,a\,b^2\right)}{55\,d}-\frac{32\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(8\,a^2\,b+7\,a\,b^2\right)}{11\,d}+\frac{28\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(4\,a^2\,b+7\,a\,b^2\right)}{11\,d}+\frac{4\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(128\,a^3+144\,a^2\,b+105\,a\,b^2\right)}{33\,d}-\frac{448\,a\,b^2\,{\mathrm{e}}^{10\,c+10\,d\,x}}{55\,d}+\frac{84\,a\,b^2\,{\mathrm{e}}^{12\,c+12\,d\,x}}{55\,d}}{28\,{\mathrm{e}}^{4\,c+4\,d\,x}-8\,{\mathrm{e}}^{2\,c+2\,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{4\,\left(4\,a^2\,b+7\,a\,b^2\right)}{55\,d}-\frac{64\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}}{55\,d}+\frac{36\,a\,b^2\,{\mathrm{e}}^{4\,c+4\,d\,x}}{55\,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{96\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(4\,a^2\,b+7\,a\,b^2\right)}{11\,d}-\frac{192\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(8\,a^2\,b+7\,a\,b^2\right)}{11\,d}-\frac{192\,{\mathrm{e}}^{12\,c+12\,d\,x}\,\left(8\,a^2\,b+7\,a\,b^2\right)}{11\,d}+\frac{96\,{\mathrm{e}}^{14\,c+14\,d\,x}\,\left(4\,a^2\,b+7\,a\,b^2\right)}{11\,d}+\frac{16\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(128\,a^3+144\,a^2\,b+105\,a\,b^2\right)}{11\,d}+\frac{24\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}}{11\,d}-\frac{192\,a\,b^2\,{\mathrm{e}}^{4\,c+4\,d\,x}}{11\,d}-\frac{192\,a\,b^2\,{\mathrm{e}}^{16\,c+16\,d\,x}}{11\,d}+\frac{24\,a\,b^2\,{\mathrm{e}}^{18\,c+18\,d\,x}}{11\,d}}{11\,{\mathrm{e}}^{2\,c+2\,d\,x}-55\,{\mathrm{e}}^{4\,c+4\,d\,x}+165\,{\mathrm{e}}^{6\,c+6\,d\,x}-330\,{\mathrm{e}}^{8\,c+8\,d\,x}+462\,{\mathrm{e}}^{10\,c+10\,d\,x}-462\,{\mathrm{e}}^{12\,c+12\,d\,x}+330\,{\mathrm{e}}^{14\,c+14\,d\,x}-165\,{\mathrm{e}}^{16\,c+16\,d\,x}+55\,{\mathrm{e}}^{18\,c+18\,d\,x}-11\,{\mathrm{e}}^{20\,c+20\,d\,x}+{\mathrm{e}}^{22\,c+22\,d\,x}-1}-\frac{\frac{12\,a\,b^2}{55\,d}+\frac{144\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(4\,a^2\,b+7\,a\,b^2\right)}{55\,d}-\frac{384\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(8\,a^2\,b+7\,a\,b^2\right)}{55\,d}-\frac{576\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(8\,a^2\,b+7\,a\,b^2\right)}{55\,d}+\frac{336\,{\mathrm{e}}^{12\,c+12\,d\,x}\,\left(4\,a^2\,b+7\,a\,b^2\right)}{55\,d}+\frac{8\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(128\,a^3+144\,a^2\,b+105\,a\,b^2\right)}{11\,d}-\frac{192\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}}{55\,d}-\frac{768\,a\,b^2\,{\mathrm{e}}^{14\,c+14\,d\,x}}{55\,d}+\frac{108\,a\,b^2\,{\mathrm{e}}^{16\,c+16\,d\,x}}{55\,d}}{45\,{\mathrm{e}}^{4\,c+4\,d\,x}-10\,{\mathrm{e}}^{2\,c+2\,d\,x}-120\,{\mathrm{e}}^{6\,c+6\,d\,x}+210\,{\mathrm{e}}^{8\,c+8\,d\,x}-252\,{\mathrm{e}}^{10\,c+10\,d\,x}+210\,{\mathrm{e}}^{12\,c+12\,d\,x}-120\,{\mathrm{e}}^{14\,c+14\,d\,x}+45\,{\mathrm{e}}^{16\,c+16\,d\,x}-10\,{\mathrm{e}}^{18\,c+18\,d\,x}+{\mathrm{e}}^{20\,c+20\,d\,x}+1}+b^3\,x+\frac{\frac{32\,\left(8\,a^2\,b+7\,a\,b^2\right)}{385\,d}+\frac{96\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(8\,a^2\,b+7\,a\,b^2\right)}{77\,d}-\frac{16\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(4\,a^2\,b+7\,a\,b^2\right)}{11\,d}-\frac{8\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(128\,a^3+144\,a^2\,b+105\,a\,b^2\right)}{231\,d}+\frac{64\,a\,b^2\,{\mathrm{e}}^{8\,c+8\,d\,x}}{11\,d}-\frac{72\,a\,b^2\,{\mathrm{e}}^{10\,c+10\,d\,x}}{55\,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{32\,\left(8\,a^2\,b+7\,a\,b^2\right)}{385\,d}-\frac{16\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(4\,a^2\,b+7\,a\,b^2\right)}{55\,d}+\frac{128\,a\,b^2\,{\mathrm{e}}^{4\,c+4\,d\,x}}{55\,d}-\frac{48\,a\,b^2\,{\mathrm{e}}^{6\,c+6\,d\,x}}{55\,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{64\,a\,b^2}{165\,d}-\frac{24\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}}{55\,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{12\,a\,b^2}{55\,d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"((64*a*b^2)/(165*d) - (32*exp(2*c + 2*d*x)*(7*a*b^2 + 4*a^2*b))/(55*d) + (128*exp(4*c + 4*d*x)*(7*a*b^2 + 8*a^2*b))/(55*d) + (64*exp(8*c + 8*d*x)*(7*a*b^2 + 8*a^2*b))/(11*d) - (224*exp(10*c + 10*d*x)*(7*a*b^2 + 4*a^2*b))/(55*d) - (32*exp(6*c + 6*d*x)*(105*a*b^2 + 144*a^2*b + 128*a^3))/(99*d) + (1792*a*b^2*exp(12*c + 12*d*x))/(165*d) - (96*a*b^2*exp(14*c + 14*d*x))/(55*d))/(9*exp(2*c + 2*d*x) - 36*exp(4*c + 4*d*x) + 84*exp(6*c + 6*d*x) - 126*exp(8*c + 8*d*x) + 126*exp(10*c + 10*d*x) - 84*exp(12*c + 12*d*x) + 36*exp(14*c + 14*d*x) - 9*exp(16*c + 16*d*x) + exp(18*c + 18*d*x) - 1) - ((4*(105*a*b^2 + 144*a^2*b + 128*a^3))/(693*d) - (32*exp(2*c + 2*d*x)*(7*a*b^2 + 8*a^2*b))/(77*d) + (8*exp(4*c + 4*d*x)*(7*a*b^2 + 4*a^2*b))/(11*d) - (128*a*b^2*exp(6*c + 6*d*x))/(33*d) + (12*a*b^2*exp(8*c + 8*d*x))/(11*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) - ((4*(7*a*b^2 + 4*a^2*b))/(55*d) - (32*exp(2*c + 2*d*x)*(7*a*b^2 + 8*a^2*b))/(55*d) - (32*exp(6*c + 6*d*x)*(7*a*b^2 + 8*a^2*b))/(11*d) + (28*exp(8*c + 8*d*x)*(7*a*b^2 + 4*a^2*b))/(11*d) + (4*exp(4*c + 4*d*x)*(105*a*b^2 + 144*a^2*b + 128*a^3))/(33*d) - (448*a*b^2*exp(10*c + 10*d*x))/(55*d) + (84*a*b^2*exp(12*c + 12*d*x))/(55*d))/(28*exp(4*c + 4*d*x) - 8*exp(2*c + 2*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*(7*a*b^2 + 4*a^2*b))/(55*d) - (64*a*b^2*exp(2*c + 2*d*x))/(55*d) + (36*a*b^2*exp(4*c + 4*d*x))/(55*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) - ((96*exp(6*c + 6*d*x)*(7*a*b^2 + 4*a^2*b))/(11*d) - (192*exp(8*c + 8*d*x)*(7*a*b^2 + 8*a^2*b))/(11*d) - (192*exp(12*c + 12*d*x)*(7*a*b^2 + 8*a^2*b))/(11*d) + (96*exp(14*c + 14*d*x)*(7*a*b^2 + 4*a^2*b))/(11*d) + (16*exp(10*c + 10*d*x)*(105*a*b^2 + 144*a^2*b + 128*a^3))/(11*d) + (24*a*b^2*exp(2*c + 2*d*x))/(11*d) - (192*a*b^2*exp(4*c + 4*d*x))/(11*d) - (192*a*b^2*exp(16*c + 16*d*x))/(11*d) + (24*a*b^2*exp(18*c + 18*d*x))/(11*d))/(11*exp(2*c + 2*d*x) - 55*exp(4*c + 4*d*x) + 165*exp(6*c + 6*d*x) - 330*exp(8*c + 8*d*x) + 462*exp(10*c + 10*d*x) - 462*exp(12*c + 12*d*x) + 330*exp(14*c + 14*d*x) - 165*exp(16*c + 16*d*x) + 55*exp(18*c + 18*d*x) - 11*exp(20*c + 20*d*x) + exp(22*c + 22*d*x) - 1) - ((12*a*b^2)/(55*d) + (144*exp(4*c + 4*d*x)*(7*a*b^2 + 4*a^2*b))/(55*d) - (384*exp(6*c + 6*d*x)*(7*a*b^2 + 8*a^2*b))/(55*d) - (576*exp(10*c + 10*d*x)*(7*a*b^2 + 8*a^2*b))/(55*d) + (336*exp(12*c + 12*d*x)*(7*a*b^2 + 4*a^2*b))/(55*d) + (8*exp(8*c + 8*d*x)*(105*a*b^2 + 144*a^2*b + 128*a^3))/(11*d) - (192*a*b^2*exp(2*c + 2*d*x))/(55*d) - (768*a*b^2*exp(14*c + 14*d*x))/(55*d) + (108*a*b^2*exp(16*c + 16*d*x))/(55*d))/(45*exp(4*c + 4*d*x) - 10*exp(2*c + 2*d*x) - 120*exp(6*c + 6*d*x) + 210*exp(8*c + 8*d*x) - 252*exp(10*c + 10*d*x) + 210*exp(12*c + 12*d*x) - 120*exp(14*c + 14*d*x) + 45*exp(16*c + 16*d*x) - 10*exp(18*c + 18*d*x) + exp(20*c + 20*d*x) + 1) + b^3*x + ((32*(7*a*b^2 + 8*a^2*b))/(385*d) + (96*exp(4*c + 4*d*x)*(7*a*b^2 + 8*a^2*b))/(77*d) - (16*exp(6*c + 6*d*x)*(7*a*b^2 + 4*a^2*b))/(11*d) - (8*exp(2*c + 2*d*x)*(105*a*b^2 + 144*a^2*b + 128*a^3))/(231*d) + (64*a*b^2*exp(8*c + 8*d*x))/(11*d) - (72*a*b^2*exp(10*c + 10*d*x))/(55*d))/(7*exp(2*c + 2*d*x) - 21*exp(4*c + 4*d*x) + 35*exp(6*c + 6*d*x) - 35*exp(8*c + 8*d*x) + 21*exp(10*c + 10*d*x) - 7*exp(12*c + 12*d*x) + exp(14*c + 14*d*x) - 1) + ((32*(7*a*b^2 + 8*a^2*b))/(385*d) - (16*exp(2*c + 2*d*x)*(7*a*b^2 + 4*a^2*b))/(55*d) + (128*a*b^2*exp(4*c + 4*d*x))/(55*d) - (48*a*b^2*exp(6*c + 6*d*x))/(55*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) + ((64*a*b^2)/(165*d) - (24*a*b^2*exp(2*c + 2*d*x))/(55*d))/(3*exp(2*c + 2*d*x) - 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) - 1) - (12*a*b^2)/(55*d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1))","B"
225,1,3138,144,1.140579,"\text{Not used}","int((a + b*sinh(c + d*x)^4)^3/sinh(c + d*x)^14,x)","\frac{\frac{6\,b^3\,{\mathrm{e}}^{4\,c+4\,d\,x}}{13\,d}-\frac{2\,b^3\,{\mathrm{e}}^{6\,c+6\,d\,x}}{13\,d}+\frac{2\,b^2\,\left(96\,a+55\,b\right)}{715\,d}-\frac{6\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(8\,a+11\,b\right)}{143\,d}}{6\,{\mathrm{e}}^{4\,c+4\,d\,x}-4\,{\mathrm{e}}^{2\,c+2\,d\,x}-4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1}-\frac{\frac{2\,\left(1024\,a^3+1152\,a^2\,b+840\,a\,b^2+231\,b^3\right)}{3003\,d}-\frac{12\,b^3\,{\mathrm{e}}^{10\,c+10\,d\,x}}{13\,d}+\frac{2\,b^3\,{\mathrm{e}}^{12\,c+12\,d\,x}}{13\,d}-\frac{4\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{143\,d}+\frac{2\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{143\,d}+\frac{30\,b^2\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(8\,a+11\,b\right)}{143\,d}-\frac{8\,b^2\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(96\,a+55\,b\right)}{143\,d}}{7\,{\mathrm{e}}^{2\,c+2\,d\,x}-21\,{\mathrm{e}}^{4\,c+4\,d\,x}+35\,{\mathrm{e}}^{6\,c+6\,d\,x}-35\,{\mathrm{e}}^{8\,c+8\,d\,x}+21\,{\mathrm{e}}^{10\,c+10\,d\,x}-7\,{\mathrm{e}}^{12\,c+12\,d\,x}+{\mathrm{e}}^{14\,c+14\,d\,x}-1}-\frac{\frac{8\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(1024\,a^3+1152\,a^2\,b+840\,a\,b^2+231\,b^3\right)}{143\,d}-\frac{18\,b^3\,{\mathrm{e}}^{16\,c+16\,d\,x}}{13\,d}+\frac{2\,b^3\,{\mathrm{e}}^{18\,c+18\,d\,x}}{13\,d}-\frac{2\,b^2\,\left(96\,a+55\,b\right)}{715\,d}-\frac{24\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{143\,d}-\frac{84\,b\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{143\,d}+\frac{6\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{715\,d}+\frac{84\,b\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{715\,d}+\frac{72\,b^2\,{\mathrm{e}}^{14\,c+14\,d\,x}\,\left(8\,a+11\,b\right)}{143\,d}-\frac{168\,b^2\,{\mathrm{e}}^{12\,c+12\,d\,x}\,\left(96\,a+55\,b\right)}{715\,d}}{45\,{\mathrm{e}}^{4\,c+4\,d\,x}-10\,{\mathrm{e}}^{2\,c+2\,d\,x}-120\,{\mathrm{e}}^{6\,c+6\,d\,x}+210\,{\mathrm{e}}^{8\,c+8\,d\,x}-252\,{\mathrm{e}}^{10\,c+10\,d\,x}+210\,{\mathrm{e}}^{12\,c+12\,d\,x}-120\,{\mathrm{e}}^{14\,c+14\,d\,x}+45\,{\mathrm{e}}^{16\,c+16\,d\,x}-10\,{\mathrm{e}}^{18\,c+18\,d\,x}+{\mathrm{e}}^{20\,c+20\,d\,x}+1}-\frac{\frac{2\,b\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{2145\,d}-\frac{8\,b^3\,{\mathrm{e}}^{6\,c+6\,d\,x}}{13\,d}+\frac{2\,b^3\,{\mathrm{e}}^{8\,c+8\,d\,x}}{13\,d}+\frac{12\,b^2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(8\,a+11\,b\right)}{143\,d}-\frac{8\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(96\,a+55\,b\right)}{715\,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\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{429\,d}-\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(1024\,a^3+1152\,a^2\,b+840\,a\,b^2+231\,b^3\right)}{429\,d}+\frac{14\,b^3\,{\mathrm{e}}^{12\,c+12\,d\,x}}{13\,d}-\frac{2\,b^3\,{\mathrm{e}}^{14\,c+14\,d\,x}}{13\,d}+\frac{14\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{143\,d}-\frac{14\,b\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{429\,d}-\frac{42\,b^2\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(8\,a+11\,b\right)}{143\,d}+\frac{14\,b^2\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(96\,a+55\,b\right)}{143\,d}}{28\,{\mathrm{e}}^{4\,c+4\,d\,x}-8\,{\mathrm{e}}^{2\,c+2\,d\,x}-56\,{\mathrm{e}}^{6\,c+6\,d\,x}+70\,{\mathrm{e}}^{8\,c+8\,d\,x}-56\,{\mathrm{e}}^{10\,c+10\,d\,x}+28\,{\mathrm{e}}^{12\,c+12\,d\,x}-8\,{\mathrm{e}}^{14\,c+14\,d\,x}+{\mathrm{e}}^{16\,c+16\,d\,x}+1}-\frac{\frac{2\,b^3}{13\,d}+\frac{8\,{\mathrm{e}}^{12\,c+12\,d\,x}\,\left(1024\,a^3+1152\,a^2\,b+840\,a\,b^2+231\,b^3\right)}{13\,d}-\frac{24\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}}{13\,d}-\frac{24\,b^3\,{\mathrm{e}}^{22\,c+22\,d\,x}}{13\,d}+\frac{2\,b^3\,{\mathrm{e}}^{24\,c+24\,d\,x}}{13\,d}-\frac{48\,b\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{13\,d}-\frac{48\,b\,{\mathrm{e}}^{14\,c+14\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{13\,d}+\frac{6\,b\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{13\,d}+\frac{6\,b\,{\mathrm{e}}^{16\,c+16\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{13\,d}+\frac{12\,b^2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(8\,a+11\,b\right)}{13\,d}+\frac{12\,b^2\,{\mathrm{e}}^{20\,c+20\,d\,x}\,\left(8\,a+11\,b\right)}{13\,d}-\frac{8\,b^2\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(96\,a+55\,b\right)}{13\,d}-\frac{8\,b^2\,{\mathrm{e}}^{18\,c+18\,d\,x}\,\left(96\,a+55\,b\right)}{13\,d}}{13\,{\mathrm{e}}^{2\,c+2\,d\,x}-78\,{\mathrm{e}}^{4\,c+4\,d\,x}+286\,{\mathrm{e}}^{6\,c+6\,d\,x}-715\,{\mathrm{e}}^{8\,c+8\,d\,x}+1287\,{\mathrm{e}}^{10\,c+10\,d\,x}-1716\,{\mathrm{e}}^{12\,c+12\,d\,x}+1716\,{\mathrm{e}}^{14\,c+14\,d\,x}-1287\,{\mathrm{e}}^{16\,c+16\,d\,x}+715\,{\mathrm{e}}^{18\,c+18\,d\,x}-286\,{\mathrm{e}}^{20\,c+20\,d\,x}+78\,{\mathrm{e}}^{22\,c+22\,d\,x}-13\,{\mathrm{e}}^{24\,c+24\,d\,x}+{\mathrm{e}}^{26\,c+26\,d\,x}-1}-\frac{\frac{2\,b^3\,{\mathrm{e}}^{4\,c+4\,d\,x}}{13\,d}-\frac{4\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}}{13\,d}+\frac{2\,b^2\,\left(8\,a+11\,b\right)}{143\,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\,b\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{429\,d}+\frac{10\,b^3\,{\mathrm{e}}^{8\,c+8\,d\,x}}{13\,d}-\frac{2\,b^3\,{\mathrm{e}}^{10\,c+10\,d\,x}}{13\,d}-\frac{2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{429\,d}-\frac{20\,b^2\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(8\,a+11\,b\right)}{143\,d}+\frac{4\,b^2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(96\,a+55\,b\right)}{143\,d}}{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}-\frac{\frac{2\,b\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{2145\,d}+\frac{8\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(1024\,a^3+1152\,a^2\,b+840\,a\,b^2+231\,b^3\right)}{429\,d}-\frac{16\,b^3\,{\mathrm{e}}^{14\,c+14\,d\,x}}{13\,d}+\frac{2\,b^3\,{\mathrm{e}}^{16\,c+16\,d\,x}}{13\,d}-\frac{16\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{429\,d}-\frac{112\,b\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{429\,d}+\frac{28\,b\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{429\,d}+\frac{56\,b^2\,{\mathrm{e}}^{12\,c+12\,d\,x}\,\left(8\,a+11\,b\right)}{143\,d}-\frac{112\,b^2\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(96\,a+55\,b\right)}{715\,d}}{9\,{\mathrm{e}}^{2\,c+2\,d\,x}-36\,{\mathrm{e}}^{4\,c+4\,d\,x}+84\,{\mathrm{e}}^{6\,c+6\,d\,x}-126\,{\mathrm{e}}^{8\,c+8\,d\,x}+126\,{\mathrm{e}}^{10\,c+10\,d\,x}-84\,{\mathrm{e}}^{12\,c+12\,d\,x}+36\,{\mathrm{e}}^{14\,c+14\,d\,x}-9\,{\mathrm{e}}^{16\,c+16\,d\,x}+{\mathrm{e}}^{18\,c+18\,d\,x}-1}+\frac{\frac{2\,b^3}{13\,d}-\frac{4\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(1024\,a^3+1152\,a^2\,b+840\,a\,b^2+231\,b^3\right)}{13\,d}+\frac{22\,b^3\,{\mathrm{e}}^{20\,c+20\,d\,x}}{13\,d}-\frac{2\,b^3\,{\mathrm{e}}^{22\,c+22\,d\,x}}{13\,d}+\frac{20\,b\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{13\,d}+\frac{28\,b\,{\mathrm{e}}^{12\,c+12\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{13\,d}-\frac{2\,b\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{13\,d}-\frac{4\,b\,{\mathrm{e}}^{14\,c+14\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{13\,d}-\frac{2\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(8\,a+11\,b\right)}{13\,d}-\frac{10\,b^2\,{\mathrm{e}}^{18\,c+18\,d\,x}\,\left(8\,a+11\,b\right)}{13\,d}+\frac{2\,b^2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(96\,a+55\,b\right)}{13\,d}+\frac{6\,b^2\,{\mathrm{e}}^{16\,c+16\,d\,x}\,\left(96\,a+55\,b\right)}{13\,d}}{66\,{\mathrm{e}}^{4\,c+4\,d\,x}-12\,{\mathrm{e}}^{2\,c+2\,d\,x}-220\,{\mathrm{e}}^{6\,c+6\,d\,x}+495\,{\mathrm{e}}^{8\,c+8\,d\,x}-792\,{\mathrm{e}}^{10\,c+10\,d\,x}+924\,{\mathrm{e}}^{12\,c+12\,d\,x}-792\,{\mathrm{e}}^{14\,c+14\,d\,x}+495\,{\mathrm{e}}^{16\,c+16\,d\,x}-220\,{\mathrm{e}}^{18\,c+18\,d\,x}+66\,{\mathrm{e}}^{20\,c+20\,d\,x}-12\,{\mathrm{e}}^{22\,c+22\,d\,x}+{\mathrm{e}}^{24\,c+24\,d\,x}+1}-\frac{\frac{20\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(1024\,a^3+1152\,a^2\,b+840\,a\,b^2+231\,b^3\right)}{143\,d}-\frac{20\,b^3\,{\mathrm{e}}^{18\,c+18\,d\,x}}{13\,d}+\frac{2\,b^3\,{\mathrm{e}}^{20\,c+20\,d\,x}}{13\,d}+\frac{2\,b^2\,\left(8\,a+11\,b\right)}{143\,d}-\frac{80\,b\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{143\,d}-\frac{168\,b\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{143\,d}+\frac{6\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{143\,d}+\frac{28\,b\,{\mathrm{e}}^{12\,c+12\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{143\,d}+\frac{90\,b^2\,{\mathrm{e}}^{16\,c+16\,d\,x}\,\left(8\,a+11\,b\right)}{143\,d}-\frac{4\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(96\,a+55\,b\right)}{143\,d}-\frac{48\,b^2\,{\mathrm{e}}^{14\,c+14\,d\,x}\,\left(96\,a+55\,b\right)}{143\,d}}{11\,{\mathrm{e}}^{2\,c+2\,d\,x}-55\,{\mathrm{e}}^{4\,c+4\,d\,x}+165\,{\mathrm{e}}^{6\,c+6\,d\,x}-330\,{\mathrm{e}}^{8\,c+8\,d\,x}+462\,{\mathrm{e}}^{10\,c+10\,d\,x}-462\,{\mathrm{e}}^{12\,c+12\,d\,x}+330\,{\mathrm{e}}^{14\,c+14\,d\,x}-165\,{\mathrm{e}}^{16\,c+16\,d\,x}+55\,{\mathrm{e}}^{18\,c+18\,d\,x}-11\,{\mathrm{e}}^{20\,c+20\,d\,x}+{\mathrm{e}}^{22\,c+22\,d\,x}-1}-\frac{4\,b^3}{13\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}","Not used",1,"((6*b^3*exp(4*c + 4*d*x))/(13*d) - (2*b^3*exp(6*c + 6*d*x))/(13*d) + (2*b^2*(96*a + 55*b))/(715*d) - (6*b^2*exp(2*c + 2*d*x)*(8*a + 11*b))/(143*d))/(6*exp(4*c + 4*d*x) - 4*exp(2*c + 2*d*x) - 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1) - ((2*(840*a*b^2 + 1152*a^2*b + 1024*a^3 + 231*b^3))/(3003*d) - (12*b^3*exp(10*c + 10*d*x))/(13*d) + (2*b^3*exp(12*c + 12*d*x))/(13*d) - (4*b*exp(2*c + 2*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(143*d) + (2*b*exp(4*c + 4*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(143*d) + (30*b^2*exp(8*c + 8*d*x)*(8*a + 11*b))/(143*d) - (8*b^2*exp(6*c + 6*d*x)*(96*a + 55*b))/(143*d))/(7*exp(2*c + 2*d*x) - 21*exp(4*c + 4*d*x) + 35*exp(6*c + 6*d*x) - 35*exp(8*c + 8*d*x) + 21*exp(10*c + 10*d*x) - 7*exp(12*c + 12*d*x) + exp(14*c + 14*d*x) - 1) - ((8*exp(6*c + 6*d*x)*(840*a*b^2 + 1152*a^2*b + 1024*a^3 + 231*b^3))/(143*d) - (18*b^3*exp(16*c + 16*d*x))/(13*d) + (2*b^3*exp(18*c + 18*d*x))/(13*d) - (2*b^2*(96*a + 55*b))/(715*d) - (24*b*exp(4*c + 4*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(143*d) - (84*b*exp(8*c + 8*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(143*d) + (6*b*exp(2*c + 2*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(715*d) + (84*b*exp(10*c + 10*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(715*d) + (72*b^2*exp(14*c + 14*d*x)*(8*a + 11*b))/(143*d) - (168*b^2*exp(12*c + 12*d*x)*(96*a + 55*b))/(715*d))/(45*exp(4*c + 4*d*x) - 10*exp(2*c + 2*d*x) - 120*exp(6*c + 6*d*x) + 210*exp(8*c + 8*d*x) - 252*exp(10*c + 10*d*x) + 210*exp(12*c + 12*d*x) - 120*exp(14*c + 14*d*x) + 45*exp(16*c + 16*d*x) - 10*exp(18*c + 18*d*x) + exp(20*c + 20*d*x) + 1) - ((2*b*(448*a*b + 256*a^2 + 165*b^2))/(2145*d) - (8*b^3*exp(6*c + 6*d*x))/(13*d) + (2*b^3*exp(8*c + 8*d*x))/(13*d) + (12*b^2*exp(4*c + 4*d*x)*(8*a + 11*b))/(143*d) - (8*b^2*exp(2*c + 2*d*x)*(96*a + 55*b))/(715*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*(112*a*b + 128*a^2 + 33*b^2))/(429*d) - (2*exp(2*c + 2*d*x)*(840*a*b^2 + 1152*a^2*b + 1024*a^3 + 231*b^3))/(429*d) + (14*b^3*exp(12*c + 12*d*x))/(13*d) - (2*b^3*exp(14*c + 14*d*x))/(13*d) + (14*b*exp(4*c + 4*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(143*d) - (14*b*exp(6*c + 6*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(429*d) - (42*b^2*exp(10*c + 10*d*x)*(8*a + 11*b))/(143*d) + (14*b^2*exp(8*c + 8*d*x)*(96*a + 55*b))/(143*d))/(28*exp(4*c + 4*d*x) - 8*exp(2*c + 2*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*b^3)/(13*d) + (8*exp(12*c + 12*d*x)*(840*a*b^2 + 1152*a^2*b + 1024*a^3 + 231*b^3))/(13*d) - (24*b^3*exp(2*c + 2*d*x))/(13*d) - (24*b^3*exp(22*c + 22*d*x))/(13*d) + (2*b^3*exp(24*c + 24*d*x))/(13*d) - (48*b*exp(10*c + 10*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(13*d) - (48*b*exp(14*c + 14*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(13*d) + (6*b*exp(8*c + 8*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(13*d) + (6*b*exp(16*c + 16*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(13*d) + (12*b^2*exp(4*c + 4*d*x)*(8*a + 11*b))/(13*d) + (12*b^2*exp(20*c + 20*d*x)*(8*a + 11*b))/(13*d) - (8*b^2*exp(6*c + 6*d*x)*(96*a + 55*b))/(13*d) - (8*b^2*exp(18*c + 18*d*x)*(96*a + 55*b))/(13*d))/(13*exp(2*c + 2*d*x) - 78*exp(4*c + 4*d*x) + 286*exp(6*c + 6*d*x) - 715*exp(8*c + 8*d*x) + 1287*exp(10*c + 10*d*x) - 1716*exp(12*c + 12*d*x) + 1716*exp(14*c + 14*d*x) - 1287*exp(16*c + 16*d*x) + 715*exp(18*c + 18*d*x) - 286*exp(20*c + 20*d*x) + 78*exp(22*c + 22*d*x) - 13*exp(24*c + 24*d*x) + exp(26*c + 26*d*x) - 1) - ((2*b^3*exp(4*c + 4*d*x))/(13*d) - (4*b^3*exp(2*c + 2*d*x))/(13*d) + (2*b^2*(8*a + 11*b))/(143*d))/(3*exp(2*c + 2*d*x) - 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) - 1) + ((2*b*(112*a*b + 128*a^2 + 33*b^2))/(429*d) + (10*b^3*exp(8*c + 8*d*x))/(13*d) - (2*b^3*exp(10*c + 10*d*x))/(13*d) - (2*b*exp(2*c + 2*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(429*d) - (20*b^2*exp(6*c + 6*d*x)*(8*a + 11*b))/(143*d) + (4*b^2*exp(4*c + 4*d*x)*(96*a + 55*b))/(143*d))/(15*exp(4*c + 4*d*x) - 6*exp(2*c + 2*d*x) - 20*exp(6*c + 6*d*x) + 15*exp(8*c + 8*d*x) - 6*exp(10*c + 10*d*x) + exp(12*c + 12*d*x) + 1) - ((2*b*(448*a*b + 256*a^2 + 165*b^2))/(2145*d) + (8*exp(4*c + 4*d*x)*(840*a*b^2 + 1152*a^2*b + 1024*a^3 + 231*b^3))/(429*d) - (16*b^3*exp(14*c + 14*d*x))/(13*d) + (2*b^3*exp(16*c + 16*d*x))/(13*d) - (16*b*exp(2*c + 2*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(429*d) - (112*b*exp(6*c + 6*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(429*d) + (28*b*exp(8*c + 8*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(429*d) + (56*b^2*exp(12*c + 12*d*x)*(8*a + 11*b))/(143*d) - (112*b^2*exp(10*c + 10*d*x)*(96*a + 55*b))/(715*d))/(9*exp(2*c + 2*d*x) - 36*exp(4*c + 4*d*x) + 84*exp(6*c + 6*d*x) - 126*exp(8*c + 8*d*x) + 126*exp(10*c + 10*d*x) - 84*exp(12*c + 12*d*x) + 36*exp(14*c + 14*d*x) - 9*exp(16*c + 16*d*x) + exp(18*c + 18*d*x) - 1) + ((2*b^3)/(13*d) - (4*exp(10*c + 10*d*x)*(840*a*b^2 + 1152*a^2*b + 1024*a^3 + 231*b^3))/(13*d) + (22*b^3*exp(20*c + 20*d*x))/(13*d) - (2*b^3*exp(22*c + 22*d*x))/(13*d) + (20*b*exp(8*c + 8*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(13*d) + (28*b*exp(12*c + 12*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(13*d) - (2*b*exp(6*c + 6*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(13*d) - (4*b*exp(14*c + 14*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(13*d) - (2*b^2*exp(2*c + 2*d*x)*(8*a + 11*b))/(13*d) - (10*b^2*exp(18*c + 18*d*x)*(8*a + 11*b))/(13*d) + (2*b^2*exp(4*c + 4*d*x)*(96*a + 55*b))/(13*d) + (6*b^2*exp(16*c + 16*d*x)*(96*a + 55*b))/(13*d))/(66*exp(4*c + 4*d*x) - 12*exp(2*c + 2*d*x) - 220*exp(6*c + 6*d*x) + 495*exp(8*c + 8*d*x) - 792*exp(10*c + 10*d*x) + 924*exp(12*c + 12*d*x) - 792*exp(14*c + 14*d*x) + 495*exp(16*c + 16*d*x) - 220*exp(18*c + 18*d*x) + 66*exp(20*c + 20*d*x) - 12*exp(22*c + 22*d*x) + exp(24*c + 24*d*x) + 1) - ((20*exp(8*c + 8*d*x)*(840*a*b^2 + 1152*a^2*b + 1024*a^3 + 231*b^3))/(143*d) - (20*b^3*exp(18*c + 18*d*x))/(13*d) + (2*b^3*exp(20*c + 20*d*x))/(13*d) + (2*b^2*(8*a + 11*b))/(143*d) - (80*b*exp(6*c + 6*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(143*d) - (168*b*exp(10*c + 10*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(143*d) + (6*b*exp(4*c + 4*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(143*d) + (28*b*exp(12*c + 12*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(143*d) + (90*b^2*exp(16*c + 16*d*x)*(8*a + 11*b))/(143*d) - (4*b^2*exp(2*c + 2*d*x)*(96*a + 55*b))/(143*d) - (48*b^2*exp(14*c + 14*d*x)*(96*a + 55*b))/(143*d))/(11*exp(2*c + 2*d*x) - 55*exp(4*c + 4*d*x) + 165*exp(6*c + 6*d*x) - 330*exp(8*c + 8*d*x) + 462*exp(10*c + 10*d*x) - 462*exp(12*c + 12*d*x) + 330*exp(14*c + 14*d*x) - 165*exp(16*c + 16*d*x) + 55*exp(18*c + 18*d*x) - 11*exp(20*c + 20*d*x) + exp(22*c + 22*d*x) - 1) - (4*b^3)/(13*d*(exp(2*c + 2*d*x) - 1))","B"
226,1,3823,182,1.222403,"\text{Not used}","int((a + b*sinh(c + d*x)^4)^3/sinh(c + d*x)^16,x)","\frac{\frac{32\,b^3}{455\,d}-\frac{8\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}}{105\,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}}^{8\,c+8\,d\,x}\,\left(1024\,a^3+1152\,a^2\,b+840\,a\,b^2+231\,b^3\right)}{39\,d}-\frac{352\,b^3\,{\mathrm{e}}^{18\,c+18\,d\,x}}{91\,d}+\frac{44\,b^3\,{\mathrm{e}}^{20\,c+20\,d\,x}}{105\,d}+\frac{4\,b^2\,\left(8\,a+11\,b\right)}{455\,d}-\frac{64\,b\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{91\,d}-\frac{128\,b\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{65\,d}+\frac{4\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{91\,d}+\frac{24\,b\,{\mathrm{e}}^{12\,c+12\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{65\,d}+\frac{132\,b^2\,{\mathrm{e}}^{16\,c+16\,d\,x}\,\left(8\,a+11\,b\right)}{91\,d}-\frac{32\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(96\,a+55\,b\right)}{1365\,d}-\frac{64\,b^2\,{\mathrm{e}}^{14\,c+14\,d\,x}\,\left(96\,a+55\,b\right)}{91\,d}}{66\,{\mathrm{e}}^{4\,c+4\,d\,x}-12\,{\mathrm{e}}^{2\,c+2\,d\,x}-220\,{\mathrm{e}}^{6\,c+6\,d\,x}+495\,{\mathrm{e}}^{8\,c+8\,d\,x}-792\,{\mathrm{e}}^{10\,c+10\,d\,x}+924\,{\mathrm{e}}^{12\,c+12\,d\,x}-792\,{\mathrm{e}}^{14\,c+14\,d\,x}+495\,{\mathrm{e}}^{16\,c+16\,d\,x}-220\,{\mathrm{e}}^{18\,c+18\,d\,x}+66\,{\mathrm{e}}^{20\,c+20\,d\,x}-12\,{\mathrm{e}}^{22\,c+22\,d\,x}+{\mathrm{e}}^{24\,c+24\,d\,x}+1}+\frac{\frac{192\,b^3\,{\mathrm{e}}^{4\,c+4\,d\,x}}{455\,d}-\frac{16\,b^3\,{\mathrm{e}}^{6\,c+6\,d\,x}}{105\,d}+\frac{32\,b^2\,\left(96\,a+55\,b\right)}{15015\,d}-\frac{16\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(8\,a+11\,b\right)}{455\,d}}{5\,{\mathrm{e}}^{2\,c+2\,d\,x}-10\,{\mathrm{e}}^{4\,c+4\,d\,x}+10\,{\mathrm{e}}^{6\,c+6\,d\,x}-5\,{\mathrm{e}}^{8\,c+8\,d\,x}+{\mathrm{e}}^{10\,c+10\,d\,x}-1}-\frac{\frac{4\,\left(1024\,a^3+1152\,a^2\,b+840\,a\,b^2+231\,b^3\right)}{6435\,d}-\frac{96\,b^3\,{\mathrm{e}}^{10\,c+10\,d\,x}}{65\,d}+\frac{4\,b^3\,{\mathrm{e}}^{12\,c+12\,d\,x}}{15\,d}-\frac{64\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{2145\,d}+\frac{12\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{715\,d}+\frac{4\,b^2\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(8\,a+11\,b\right)}{13\,d}-\frac{32\,b^2\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(96\,a+55\,b\right)}{429\,d}}{28\,{\mathrm{e}}^{4\,c+4\,d\,x}-8\,{\mathrm{e}}^{2\,c+2\,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{32\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(1024\,a^3+1152\,a^2\,b+840\,a\,b^2+231\,b^3\right)}{429\,d}-\frac{288\,b^3\,{\mathrm{e}}^{16\,c+16\,d\,x}}{91\,d}+\frac{8\,b^3\,{\mathrm{e}}^{18\,c+18\,d\,x}}{21\,d}-\frac{32\,b^2\,\left(96\,a+55\,b\right)}{15015\,d}-\frac{192\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{1001\,d}-\frac{128\,b\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{143\,d}+\frac{8\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{1001\,d}+\frac{144\,b\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{715\,d}+\frac{96\,b^2\,{\mathrm{e}}^{14\,c+14\,d\,x}\,\left(8\,a+11\,b\right)}{91\,d}-\frac{64\,b^2\,{\mathrm{e}}^{12\,c+12\,d\,x}\,\left(96\,a+55\,b\right)}{143\,d}}{11\,{\mathrm{e}}^{2\,c+2\,d\,x}-55\,{\mathrm{e}}^{4\,c+4\,d\,x}+165\,{\mathrm{e}}^{6\,c+6\,d\,x}-330\,{\mathrm{e}}^{8\,c+8\,d\,x}+462\,{\mathrm{e}}^{10\,c+10\,d\,x}-462\,{\mathrm{e}}^{12\,c+12\,d\,x}+330\,{\mathrm{e}}^{14\,c+14\,d\,x}-165\,{\mathrm{e}}^{16\,c+16\,d\,x}+55\,{\mathrm{e}}^{18\,c+18\,d\,x}-11\,{\mathrm{e}}^{20\,c+20\,d\,x}+{\mathrm{e}}^{22\,c+22\,d\,x}-1}-\frac{\frac{32\,{\mathrm{e}}^{14\,c+14\,d\,x}\,\left(1024\,a^3+1152\,a^2\,b+840\,a\,b^2+231\,b^3\right)}{15\,d}+\frac{8\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}}{15\,d}-\frac{32\,b^3\,{\mathrm{e}}^{4\,c+4\,d\,x}}{5\,d}-\frac{32\,b^3\,{\mathrm{e}}^{24\,c+24\,d\,x}}{5\,d}+\frac{8\,b^3\,{\mathrm{e}}^{26\,c+26\,d\,x}}{15\,d}-\frac{64\,b\,{\mathrm{e}}^{12\,c+12\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{5\,d}-\frac{64\,b\,{\mathrm{e}}^{16\,c+16\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{5\,d}+\frac{8\,b\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{5\,d}+\frac{8\,b\,{\mathrm{e}}^{18\,c+18\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{5\,d}+\frac{16\,b^2\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(8\,a+11\,b\right)}{5\,d}+\frac{16\,b^2\,{\mathrm{e}}^{22\,c+22\,d\,x}\,\left(8\,a+11\,b\right)}{5\,d}-\frac{32\,b^2\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(96\,a+55\,b\right)}{15\,d}-\frac{32\,b^2\,{\mathrm{e}}^{20\,c+20\,d\,x}\,\left(96\,a+55\,b\right)}{15\,d}}{15\,{\mathrm{e}}^{2\,c+2\,d\,x}-105\,{\mathrm{e}}^{4\,c+4\,d\,x}+455\,{\mathrm{e}}^{6\,c+6\,d\,x}-1365\,{\mathrm{e}}^{8\,c+8\,d\,x}+3003\,{\mathrm{e}}^{10\,c+10\,d\,x}-5005\,{\mathrm{e}}^{12\,c+12\,d\,x}+6435\,{\mathrm{e}}^{14\,c+14\,d\,x}-6435\,{\mathrm{e}}^{16\,c+16\,d\,x}+5005\,{\mathrm{e}}^{18\,c+18\,d\,x}-3003\,{\mathrm{e}}^{20\,c+20\,d\,x}+1365\,{\mathrm{e}}^{22\,c+22\,d\,x}-455\,{\mathrm{e}}^{24\,c+24\,d\,x}+105\,{\mathrm{e}}^{26\,c+26\,d\,x}-15\,{\mathrm{e}}^{28\,c+28\,d\,x}+{\mathrm{e}}^{30\,c+30\,d\,x}-1}-\frac{\frac{4\,b\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{5005\,d}-\frac{64\,b^3\,{\mathrm{e}}^{6\,c+6\,d\,x}}{91\,d}+\frac{4\,b^3\,{\mathrm{e}}^{8\,c+8\,d\,x}}{21\,d}+\frac{8\,b^2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(8\,a+11\,b\right)}{91\,d}-\frac{32\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(96\,a+55\,b\right)}{3003\,d}}{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}+\frac{\frac{64\,b\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{15015\,d}-\frac{32\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(1024\,a^3+1152\,a^2\,b+840\,a\,b^2+231\,b^3\right)}{6435\,d}+\frac{128\,b^3\,{\mathrm{e}}^{12\,c+12\,d\,x}}{65\,d}-\frac{32\,b^3\,{\mathrm{e}}^{14\,c+14\,d\,x}}{105\,d}+\frac{256\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{2145\,d}-\frac{32\,b\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{715\,d}-\frac{32\,b^2\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(8\,a+11\,b\right)}{65\,d}+\frac{64\,b^2\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(96\,a+55\,b\right)}{429\,d}}{9\,{\mathrm{e}}^{2\,c+2\,d\,x}-36\,{\mathrm{e}}^{4\,c+4\,d\,x}+84\,{\mathrm{e}}^{6\,c+6\,d\,x}-126\,{\mathrm{e}}^{8\,c+8\,d\,x}+126\,{\mathrm{e}}^{10\,c+10\,d\,x}-84\,{\mathrm{e}}^{12\,c+12\,d\,x}+36\,{\mathrm{e}}^{14\,c+14\,d\,x}-9\,{\mathrm{e}}^{16\,c+16\,d\,x}+{\mathrm{e}}^{18\,c+18\,d\,x}-1}-\frac{\frac{4\,b^3}{105\,d}+\frac{16\,{\mathrm{e}}^{12\,c+12\,d\,x}\,\left(1024\,a^3+1152\,a^2\,b+840\,a\,b^2+231\,b^3\right)}{15\,d}-\frac{32\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}}{35\,d}-\frac{192\,b^3\,{\mathrm{e}}^{22\,c+22\,d\,x}}{35\,d}+\frac{52\,b^3\,{\mathrm{e}}^{24\,c+24\,d\,x}}{105\,d}-\frac{192\,b\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{35\,d}-\frac{256\,b\,{\mathrm{e}}^{14\,c+14\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{35\,d}+\frac{4\,b\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{7\,d}+\frac{36\,b\,{\mathrm{e}}^{16\,c+16\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{35\,d}+\frac{24\,b^2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(8\,a+11\,b\right)}{35\,d}+\frac{88\,b^2\,{\mathrm{e}}^{20\,c+20\,d\,x}\,\left(8\,a+11\,b\right)}{35\,d}-\frac{64\,b^2\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(96\,a+55\,b\right)}{105\,d}-\frac{32\,b^2\,{\mathrm{e}}^{18\,c+18\,d\,x}\,\left(96\,a+55\,b\right)}{21\,d}}{91\,{\mathrm{e}}^{4\,c+4\,d\,x}-14\,{\mathrm{e}}^{2\,c+2\,d\,x}-364\,{\mathrm{e}}^{6\,c+6\,d\,x}+1001\,{\mathrm{e}}^{8\,c+8\,d\,x}-2002\,{\mathrm{e}}^{10\,c+10\,d\,x}+3003\,{\mathrm{e}}^{12\,c+12\,d\,x}-3432\,{\mathrm{e}}^{14\,c+14\,d\,x}+3003\,{\mathrm{e}}^{16\,c+16\,d\,x}-2002\,{\mathrm{e}}^{18\,c+18\,d\,x}+1001\,{\mathrm{e}}^{20\,c+20\,d\,x}-364\,{\mathrm{e}}^{22\,c+22\,d\,x}+91\,{\mathrm{e}}^{24\,c+24\,d\,x}-14\,{\mathrm{e}}^{26\,c+26\,d\,x}+{\mathrm{e}}^{28\,c+28\,d\,x}+1}-\frac{\frac{4\,b^3\,{\mathrm{e}}^{4\,c+4\,d\,x}}{35\,d}-\frac{96\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}}{455\,d}+\frac{4\,b^2\,\left(8\,a+11\,b\right)}{455\,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{64\,b\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{15015\,d}+\frac{96\,b^3\,{\mathrm{e}}^{8\,c+8\,d\,x}}{91\,d}-\frac{8\,b^3\,{\mathrm{e}}^{10\,c+10\,d\,x}}{35\,d}-\frac{24\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{5005\,d}-\frac{16\,b^2\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(8\,a+11\,b\right)}{91\,d}+\frac{32\,b^2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(96\,a+55\,b\right)}{1001\,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\,b\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{5005\,d}+\frac{16\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(1024\,a^3+1152\,a^2\,b+840\,a\,b^2+231\,b^3\right)}{715\,d}-\frac{1152\,b^3\,{\mathrm{e}}^{14\,c+14\,d\,x}}{455\,d}+\frac{12\,b^3\,{\mathrm{e}}^{16\,c+16\,d\,x}}{35\,d}-\frac{192\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{5005\,d}-\frac{256\,b\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{715\,d}+\frac{72\,b\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{715\,d}+\frac{48\,b^2\,{\mathrm{e}}^{12\,c+12\,d\,x}\,\left(8\,a+11\,b\right)}{65\,d}-\frac{192\,b^2\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(96\,a+55\,b\right)}{715\,d}}{45\,{\mathrm{e}}^{4\,c+4\,d\,x}-10\,{\mathrm{e}}^{2\,c+2\,d\,x}-120\,{\mathrm{e}}^{6\,c+6\,d\,x}+210\,{\mathrm{e}}^{8\,c+8\,d\,x}-252\,{\mathrm{e}}^{10\,c+10\,d\,x}+210\,{\mathrm{e}}^{12\,c+12\,d\,x}-120\,{\mathrm{e}}^{14\,c+14\,d\,x}+45\,{\mathrm{e}}^{16\,c+16\,d\,x}-10\,{\mathrm{e}}^{18\,c+18\,d\,x}+{\mathrm{e}}^{20\,c+20\,d\,x}+1}+\frac{\frac{32\,b^3}{455\,d}-\frac{32\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(1024\,a^3+1152\,a^2\,b+840\,a\,b^2+231\,b^3\right)}{65\,d}+\frac{2112\,b^3\,{\mathrm{e}}^{20\,c+20\,d\,x}}{455\,d}-\frac{16\,b^3\,{\mathrm{e}}^{22\,c+22\,d\,x}}{35\,d}+\frac{192\,b\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{91\,d}+\frac{256\,b\,{\mathrm{e}}^{12\,c+12\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{65\,d}-\frac{16\,b\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{91\,d}-\frac{288\,b\,{\mathrm{e}}^{14\,c+14\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{455\,d}-\frac{48\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(8\,a+11\,b\right)}{455\,d}-\frac{176\,b^2\,{\mathrm{e}}^{18\,c+18\,d\,x}\,\left(8\,a+11\,b\right)}{91\,d}+\frac{64\,b^2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(96\,a+55\,b\right)}{455\,d}+\frac{96\,b^2\,{\mathrm{e}}^{16\,c+16\,d\,x}\,\left(96\,a+55\,b\right)}{91\,d}}{13\,{\mathrm{e}}^{2\,c+2\,d\,x}-78\,{\mathrm{e}}^{4\,c+4\,d\,x}+286\,{\mathrm{e}}^{6\,c+6\,d\,x}-715\,{\mathrm{e}}^{8\,c+8\,d\,x}+1287\,{\mathrm{e}}^{10\,c+10\,d\,x}-1716\,{\mathrm{e}}^{12\,c+12\,d\,x}+1716\,{\mathrm{e}}^{14\,c+14\,d\,x}-1287\,{\mathrm{e}}^{16\,c+16\,d\,x}+715\,{\mathrm{e}}^{18\,c+18\,d\,x}-286\,{\mathrm{e}}^{20\,c+20\,d\,x}+78\,{\mathrm{e}}^{22\,c+22\,d\,x}-13\,{\mathrm{e}}^{24\,c+24\,d\,x}+{\mathrm{e}}^{26\,c+26\,d\,x}-1}-\frac{4\,b^3}{105\,d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"((32*b^3)/(455*d) - (8*b^3*exp(2*c + 2*d*x))/(105*d))/(3*exp(2*c + 2*d*x) - 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) - 1) - ((8*exp(8*c + 8*d*x)*(840*a*b^2 + 1152*a^2*b + 1024*a^3 + 231*b^3))/(39*d) - (352*b^3*exp(18*c + 18*d*x))/(91*d) + (44*b^3*exp(20*c + 20*d*x))/(105*d) + (4*b^2*(8*a + 11*b))/(455*d) - (64*b*exp(6*c + 6*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(91*d) - (128*b*exp(10*c + 10*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(65*d) + (4*b*exp(4*c + 4*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(91*d) + (24*b*exp(12*c + 12*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(65*d) + (132*b^2*exp(16*c + 16*d*x)*(8*a + 11*b))/(91*d) - (32*b^2*exp(2*c + 2*d*x)*(96*a + 55*b))/(1365*d) - (64*b^2*exp(14*c + 14*d*x)*(96*a + 55*b))/(91*d))/(66*exp(4*c + 4*d*x) - 12*exp(2*c + 2*d*x) - 220*exp(6*c + 6*d*x) + 495*exp(8*c + 8*d*x) - 792*exp(10*c + 10*d*x) + 924*exp(12*c + 12*d*x) - 792*exp(14*c + 14*d*x) + 495*exp(16*c + 16*d*x) - 220*exp(18*c + 18*d*x) + 66*exp(20*c + 20*d*x) - 12*exp(22*c + 22*d*x) + exp(24*c + 24*d*x) + 1) + ((192*b^3*exp(4*c + 4*d*x))/(455*d) - (16*b^3*exp(6*c + 6*d*x))/(105*d) + (32*b^2*(96*a + 55*b))/(15015*d) - (16*b^2*exp(2*c + 2*d*x)*(8*a + 11*b))/(455*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*(840*a*b^2 + 1152*a^2*b + 1024*a^3 + 231*b^3))/(6435*d) - (96*b^3*exp(10*c + 10*d*x))/(65*d) + (4*b^3*exp(12*c + 12*d*x))/(15*d) - (64*b*exp(2*c + 2*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(2145*d) + (12*b*exp(4*c + 4*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(715*d) + (4*b^2*exp(8*c + 8*d*x)*(8*a + 11*b))/(13*d) - (32*b^2*exp(6*c + 6*d*x)*(96*a + 55*b))/(429*d))/(28*exp(4*c + 4*d*x) - 8*exp(2*c + 2*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) - ((32*exp(6*c + 6*d*x)*(840*a*b^2 + 1152*a^2*b + 1024*a^3 + 231*b^3))/(429*d) - (288*b^3*exp(16*c + 16*d*x))/(91*d) + (8*b^3*exp(18*c + 18*d*x))/(21*d) - (32*b^2*(96*a + 55*b))/(15015*d) - (192*b*exp(4*c + 4*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(1001*d) - (128*b*exp(8*c + 8*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(143*d) + (8*b*exp(2*c + 2*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(1001*d) + (144*b*exp(10*c + 10*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(715*d) + (96*b^2*exp(14*c + 14*d*x)*(8*a + 11*b))/(91*d) - (64*b^2*exp(12*c + 12*d*x)*(96*a + 55*b))/(143*d))/(11*exp(2*c + 2*d*x) - 55*exp(4*c + 4*d*x) + 165*exp(6*c + 6*d*x) - 330*exp(8*c + 8*d*x) + 462*exp(10*c + 10*d*x) - 462*exp(12*c + 12*d*x) + 330*exp(14*c + 14*d*x) - 165*exp(16*c + 16*d*x) + 55*exp(18*c + 18*d*x) - 11*exp(20*c + 20*d*x) + exp(22*c + 22*d*x) - 1) - ((32*exp(14*c + 14*d*x)*(840*a*b^2 + 1152*a^2*b + 1024*a^3 + 231*b^3))/(15*d) + (8*b^3*exp(2*c + 2*d*x))/(15*d) - (32*b^3*exp(4*c + 4*d*x))/(5*d) - (32*b^3*exp(24*c + 24*d*x))/(5*d) + (8*b^3*exp(26*c + 26*d*x))/(15*d) - (64*b*exp(12*c + 12*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(5*d) - (64*b*exp(16*c + 16*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(5*d) + (8*b*exp(10*c + 10*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(5*d) + (8*b*exp(18*c + 18*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(5*d) + (16*b^2*exp(6*c + 6*d*x)*(8*a + 11*b))/(5*d) + (16*b^2*exp(22*c + 22*d*x)*(8*a + 11*b))/(5*d) - (32*b^2*exp(8*c + 8*d*x)*(96*a + 55*b))/(15*d) - (32*b^2*exp(20*c + 20*d*x)*(96*a + 55*b))/(15*d))/(15*exp(2*c + 2*d*x) - 105*exp(4*c + 4*d*x) + 455*exp(6*c + 6*d*x) - 1365*exp(8*c + 8*d*x) + 3003*exp(10*c + 10*d*x) - 5005*exp(12*c + 12*d*x) + 6435*exp(14*c + 14*d*x) - 6435*exp(16*c + 16*d*x) + 5005*exp(18*c + 18*d*x) - 3003*exp(20*c + 20*d*x) + 1365*exp(22*c + 22*d*x) - 455*exp(24*c + 24*d*x) + 105*exp(26*c + 26*d*x) - 15*exp(28*c + 28*d*x) + exp(30*c + 30*d*x) - 1) - ((4*b*(448*a*b + 256*a^2 + 165*b^2))/(5005*d) - (64*b^3*exp(6*c + 6*d*x))/(91*d) + (4*b^3*exp(8*c + 8*d*x))/(21*d) + (8*b^2*exp(4*c + 4*d*x)*(8*a + 11*b))/(91*d) - (32*b^2*exp(2*c + 2*d*x)*(96*a + 55*b))/(3003*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) + ((64*b*(112*a*b + 128*a^2 + 33*b^2))/(15015*d) - (32*exp(2*c + 2*d*x)*(840*a*b^2 + 1152*a^2*b + 1024*a^3 + 231*b^3))/(6435*d) + (128*b^3*exp(12*c + 12*d*x))/(65*d) - (32*b^3*exp(14*c + 14*d*x))/(105*d) + (256*b*exp(4*c + 4*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(2145*d) - (32*b*exp(6*c + 6*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(715*d) - (32*b^2*exp(10*c + 10*d*x)*(8*a + 11*b))/(65*d) + (64*b^2*exp(8*c + 8*d*x)*(96*a + 55*b))/(429*d))/(9*exp(2*c + 2*d*x) - 36*exp(4*c + 4*d*x) + 84*exp(6*c + 6*d*x) - 126*exp(8*c + 8*d*x) + 126*exp(10*c + 10*d*x) - 84*exp(12*c + 12*d*x) + 36*exp(14*c + 14*d*x) - 9*exp(16*c + 16*d*x) + exp(18*c + 18*d*x) - 1) - ((4*b^3)/(105*d) + (16*exp(12*c + 12*d*x)*(840*a*b^2 + 1152*a^2*b + 1024*a^3 + 231*b^3))/(15*d) - (32*b^3*exp(2*c + 2*d*x))/(35*d) - (192*b^3*exp(22*c + 22*d*x))/(35*d) + (52*b^3*exp(24*c + 24*d*x))/(105*d) - (192*b*exp(10*c + 10*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(35*d) - (256*b*exp(14*c + 14*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(35*d) + (4*b*exp(8*c + 8*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(7*d) + (36*b*exp(16*c + 16*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(35*d) + (24*b^2*exp(4*c + 4*d*x)*(8*a + 11*b))/(35*d) + (88*b^2*exp(20*c + 20*d*x)*(8*a + 11*b))/(35*d) - (64*b^2*exp(6*c + 6*d*x)*(96*a + 55*b))/(105*d) - (32*b^2*exp(18*c + 18*d*x)*(96*a + 55*b))/(21*d))/(91*exp(4*c + 4*d*x) - 14*exp(2*c + 2*d*x) - 364*exp(6*c + 6*d*x) + 1001*exp(8*c + 8*d*x) - 2002*exp(10*c + 10*d*x) + 3003*exp(12*c + 12*d*x) - 3432*exp(14*c + 14*d*x) + 3003*exp(16*c + 16*d*x) - 2002*exp(18*c + 18*d*x) + 1001*exp(20*c + 20*d*x) - 364*exp(22*c + 22*d*x) + 91*exp(24*c + 24*d*x) - 14*exp(26*c + 26*d*x) + exp(28*c + 28*d*x) + 1) - ((4*b^3*exp(4*c + 4*d*x))/(35*d) - (96*b^3*exp(2*c + 2*d*x))/(455*d) + (4*b^2*(8*a + 11*b))/(455*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) + ((64*b*(112*a*b + 128*a^2 + 33*b^2))/(15015*d) + (96*b^3*exp(8*c + 8*d*x))/(91*d) - (8*b^3*exp(10*c + 10*d*x))/(35*d) - (24*b*exp(2*c + 2*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(5005*d) - (16*b^2*exp(6*c + 6*d*x)*(8*a + 11*b))/(91*d) + (32*b^2*exp(4*c + 4*d*x)*(96*a + 55*b))/(1001*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*b*(448*a*b + 256*a^2 + 165*b^2))/(5005*d) + (16*exp(4*c + 4*d*x)*(840*a*b^2 + 1152*a^2*b + 1024*a^3 + 231*b^3))/(715*d) - (1152*b^3*exp(14*c + 14*d*x))/(455*d) + (12*b^3*exp(16*c + 16*d*x))/(35*d) - (192*b*exp(2*c + 2*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(5005*d) - (256*b*exp(6*c + 6*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(715*d) + (72*b*exp(8*c + 8*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(715*d) + (48*b^2*exp(12*c + 12*d*x)*(8*a + 11*b))/(65*d) - (192*b^2*exp(10*c + 10*d*x)*(96*a + 55*b))/(715*d))/(45*exp(4*c + 4*d*x) - 10*exp(2*c + 2*d*x) - 120*exp(6*c + 6*d*x) + 210*exp(8*c + 8*d*x) - 252*exp(10*c + 10*d*x) + 210*exp(12*c + 12*d*x) - 120*exp(14*c + 14*d*x) + 45*exp(16*c + 16*d*x) - 10*exp(18*c + 18*d*x) + exp(20*c + 20*d*x) + 1) + ((32*b^3)/(455*d) - (32*exp(10*c + 10*d*x)*(840*a*b^2 + 1152*a^2*b + 1024*a^3 + 231*b^3))/(65*d) + (2112*b^3*exp(20*c + 20*d*x))/(455*d) - (16*b^3*exp(22*c + 22*d*x))/(35*d) + (192*b*exp(8*c + 8*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(91*d) + (256*b*exp(12*c + 12*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(65*d) - (16*b*exp(6*c + 6*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(91*d) - (288*b*exp(14*c + 14*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(455*d) - (48*b^2*exp(2*c + 2*d*x)*(8*a + 11*b))/(455*d) - (176*b^2*exp(18*c + 18*d*x)*(8*a + 11*b))/(91*d) + (64*b^2*exp(4*c + 4*d*x)*(96*a + 55*b))/(455*d) + (96*b^2*exp(16*c + 16*d*x)*(96*a + 55*b))/(91*d))/(13*exp(2*c + 2*d*x) - 78*exp(4*c + 4*d*x) + 286*exp(6*c + 6*d*x) - 715*exp(8*c + 8*d*x) + 1287*exp(10*c + 10*d*x) - 1716*exp(12*c + 12*d*x) + 1716*exp(14*c + 14*d*x) - 1287*exp(16*c + 16*d*x) + 715*exp(18*c + 18*d*x) - 286*exp(20*c + 20*d*x) + 78*exp(22*c + 22*d*x) - 13*exp(24*c + 24*d*x) + exp(26*c + 26*d*x) - 1) - (4*b^3)/(105*d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1))","B"
227,1,4490,221,1.310161,"\text{Not used}","int((a + b*sinh(c + d*x)^4)^3/sinh(c + d*x)^18,x)","\frac{\frac{24\,b^3}{595\,d}-\frac{64\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(1024\,a^3+1152\,a^2\,b+840\,a\,b^2+231\,b^3\right)}{85\,d}+\frac{6864\,b^3\,{\mathrm{e}}^{20\,c+20\,d\,x}}{595\,d}-\frac{104\,b^3\,{\mathrm{e}}^{22\,c+22\,d\,x}}{85\,d}+\frac{48\,b\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{17\,d}+\frac{576\,b\,{\mathrm{e}}^{12\,c+12\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{85\,d}-\frac{24\,b\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{119\,d}-\frac{144\,b\,{\mathrm{e}}^{14\,c+14\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{119\,d}-\frac{48\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(8\,a+11\,b\right)}{595\,d}-\frac{528\,b^2\,{\mathrm{e}}^{18\,c+18\,d\,x}\,\left(8\,a+11\,b\right)}{119\,d}+\frac{16\,b^2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(96\,a+55\,b\right)}{119\,d}+\frac{264\,b^2\,{\mathrm{e}}^{16\,c+16\,d\,x}\,\left(96\,a+55\,b\right)}{119\,d}}{91\,{\mathrm{e}}^{4\,c+4\,d\,x}-14\,{\mathrm{e}}^{2\,c+2\,d\,x}-364\,{\mathrm{e}}^{6\,c+6\,d\,x}+1001\,{\mathrm{e}}^{8\,c+8\,d\,x}-2002\,{\mathrm{e}}^{10\,c+10\,d\,x}+3003\,{\mathrm{e}}^{12\,c+12\,d\,x}-3432\,{\mathrm{e}}^{14\,c+14\,d\,x}+3003\,{\mathrm{e}}^{16\,c+16\,d\,x}-2002\,{\mathrm{e}}^{18\,c+18\,d\,x}+1001\,{\mathrm{e}}^{20\,c+20\,d\,x}-364\,{\mathrm{e}}^{22\,c+22\,d\,x}+91\,{\mathrm{e}}^{24\,c+24\,d\,x}-14\,{\mathrm{e}}^{26\,c+26\,d\,x}+{\mathrm{e}}^{28\,c+28\,d\,x}+1}+\frac{\frac{24\,b^3}{595\,d}-\frac{4\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}}{85\,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{64\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(1024\,a^3+1152\,a^2\,b+840\,a\,b^2+231\,b^3\right)}{221\,d}-\frac{1056\,b^3\,{\mathrm{e}}^{18\,c+18\,d\,x}}{119\,d}+\frac{88\,b^3\,{\mathrm{e}}^{20\,c+20\,d\,x}}{85\,d}+\frac{48\,b^2\,\left(8\,a+11\,b\right)}{7735\,d}-\frac{192\,b\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{221\,d}-\frac{3456\,b\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{1105\,d}+\frac{72\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{1547\,d}+\frac{144\,b\,{\mathrm{e}}^{12\,c+12\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{221\,d}+\frac{4752\,b^2\,{\mathrm{e}}^{16\,c+16\,d\,x}\,\left(8\,a+11\,b\right)}{1547\,d}-\frac{32\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(96\,a+55\,b\right)}{1547\,d}-\frac{2112\,b^2\,{\mathrm{e}}^{14\,c+14\,d\,x}\,\left(96\,a+55\,b\right)}{1547\,d}}{13\,{\mathrm{e}}^{2\,c+2\,d\,x}-78\,{\mathrm{e}}^{4\,c+4\,d\,x}+286\,{\mathrm{e}}^{6\,c+6\,d\,x}-715\,{\mathrm{e}}^{8\,c+8\,d\,x}+1287\,{\mathrm{e}}^{10\,c+10\,d\,x}-1716\,{\mathrm{e}}^{12\,c+12\,d\,x}+1716\,{\mathrm{e}}^{14\,c+14\,d\,x}-1287\,{\mathrm{e}}^{16\,c+16\,d\,x}+715\,{\mathrm{e}}^{18\,c+18\,d\,x}-286\,{\mathrm{e}}^{20\,c+20\,d\,x}+78\,{\mathrm{e}}^{22\,c+22\,d\,x}-13\,{\mathrm{e}}^{24\,c+24\,d\,x}+{\mathrm{e}}^{26\,c+26\,d\,x}-1}+\frac{\frac{48\,b^3\,{\mathrm{e}}^{4\,c+4\,d\,x}}{119\,d}-\frac{8\,b^3\,{\mathrm{e}}^{6\,c+6\,d\,x}}{51\,d}+\frac{8\,b^2\,\left(96\,a+55\,b\right)}{4641\,d}-\frac{48\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(8\,a+11\,b\right)}{1547\,d}}{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}-\frac{\frac{64\,\left(1024\,a^3+1152\,a^2\,b+840\,a\,b^2+231\,b^3\right)}{109395\,d}-\frac{192\,b^3\,{\mathrm{e}}^{10\,c+10\,d\,x}}{85\,d}+\frac{112\,b^3\,{\mathrm{e}}^{12\,c+12\,d\,x}}{255\,d}-\frac{384\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{12155\,d}+\frac{48\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{2431\,d}+\frac{96\,b^2\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(8\,a+11\,b\right)}{221\,d}-\frac{64\,b^2\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(96\,a+55\,b\right)}{663\,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{64\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(1024\,a^3+1152\,a^2\,b+840\,a\,b^2+231\,b^3\right)}{663\,d}-\frac{792\,b^3\,{\mathrm{e}}^{16\,c+16\,d\,x}}{119\,d}+\frac{44\,b^3\,{\mathrm{e}}^{18\,c+18\,d\,x}}{51\,d}-\frac{8\,b^2\,\left(96\,a+55\,b\right)}{4641\,d}-\frac{48\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{221\,d}-\frac{288\,b\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{221\,d}+\frac{12\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{1547\,d}+\frac{72\,b\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{221\,d}+\frac{3168\,b^2\,{\mathrm{e}}^{14\,c+14\,d\,x}\,\left(8\,a+11\,b\right)}{1547\,d}-\frac{176\,b^2\,{\mathrm{e}}^{12\,c+12\,d\,x}\,\left(96\,a+55\,b\right)}{221\,d}}{66\,{\mathrm{e}}^{4\,c+4\,d\,x}-12\,{\mathrm{e}}^{2\,c+2\,d\,x}-220\,{\mathrm{e}}^{6\,c+6\,d\,x}+495\,{\mathrm{e}}^{8\,c+8\,d\,x}-792\,{\mathrm{e}}^{10\,c+10\,d\,x}+924\,{\mathrm{e}}^{12\,c+12\,d\,x}-792\,{\mathrm{e}}^{14\,c+14\,d\,x}+495\,{\mathrm{e}}^{16\,c+16\,d\,x}-220\,{\mathrm{e}}^{18\,c+18\,d\,x}+66\,{\mathrm{e}}^{20\,c+20\,d\,x}-12\,{\mathrm{e}}^{22\,c+22\,d\,x}+{\mathrm{e}}^{24\,c+24\,d\,x}+1}-\frac{\frac{64\,{\mathrm{e}}^{14\,c+14\,d\,x}\,\left(1024\,a^3+1152\,a^2\,b+840\,a\,b^2+231\,b^3\right)}{17\,d}+\frac{4\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}}{17\,d}-\frac{72\,b^3\,{\mathrm{e}}^{4\,c+4\,d\,x}}{17\,d}-\frac{312\,b^3\,{\mathrm{e}}^{24\,c+24\,d\,x}}{17\,d}+\frac{28\,b^3\,{\mathrm{e}}^{26\,c+26\,d\,x}}{17\,d}-\frac{336\,b\,{\mathrm{e}}^{12\,c+12\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{17\,d}-\frac{432\,b\,{\mathrm{e}}^{16\,c+16\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{17\,d}+\frac{36\,b\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{17\,d}+\frac{60\,b\,{\mathrm{e}}^{18\,c+18\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{17\,d}+\frac{48\,b^2\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(8\,a+11\,b\right)}{17\,d}+\frac{144\,b^2\,{\mathrm{e}}^{22\,c+22\,d\,x}\,\left(8\,a+11\,b\right)}{17\,d}-\frac{40\,b^2\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(96\,a+55\,b\right)}{17\,d}-\frac{88\,b^2\,{\mathrm{e}}^{20\,c+20\,d\,x}\,\left(96\,a+55\,b\right)}{17\,d}}{120\,{\mathrm{e}}^{4\,c+4\,d\,x}-16\,{\mathrm{e}}^{2\,c+2\,d\,x}-560\,{\mathrm{e}}^{6\,c+6\,d\,x}+1820\,{\mathrm{e}}^{8\,c+8\,d\,x}-4368\,{\mathrm{e}}^{10\,c+10\,d\,x}+8008\,{\mathrm{e}}^{12\,c+12\,d\,x}-11440\,{\mathrm{e}}^{14\,c+14\,d\,x}+12870\,{\mathrm{e}}^{16\,c+16\,d\,x}-11440\,{\mathrm{e}}^{18\,c+18\,d\,x}+8008\,{\mathrm{e}}^{20\,c+20\,d\,x}-4368\,{\mathrm{e}}^{22\,c+22\,d\,x}+1820\,{\mathrm{e}}^{24\,c+24\,d\,x}-560\,{\mathrm{e}}^{26\,c+26\,d\,x}+120\,{\mathrm{e}}^{28\,c+28\,d\,x}-16\,{\mathrm{e}}^{30\,c+30\,d\,x}+{\mathrm{e}}^{32\,c+32\,d\,x}+1}-\frac{\frac{12\,b\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{17017\,d}-\frac{96\,b^3\,{\mathrm{e}}^{6\,c+6\,d\,x}}{119\,d}+\frac{4\,b^3\,{\mathrm{e}}^{8\,c+8\,d\,x}}{17\,d}+\frac{144\,b^2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(8\,a+11\,b\right)}{1547\,d}-\frac{16\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(96\,a+55\,b\right)}{1547\,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{48\,b\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{12155\,d}-\frac{64\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(1024\,a^3+1152\,a^2\,b+840\,a\,b^2+231\,b^3\right)}{12155\,d}+\frac{288\,b^3\,{\mathrm{e}}^{12\,c+12\,d\,x}}{85\,d}-\frac{48\,b^3\,{\mathrm{e}}^{14\,c+14\,d\,x}}{85\,d}+\frac{1728\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{12155\,d}-\frac{144\,b\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{2431\,d}-\frac{864\,b^2\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(8\,a+11\,b\right)}{1105\,d}+\frac{48\,b^2\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(96\,a+55\,b\right)}{221\,d}}{45\,{\mathrm{e}}^{4\,c+4\,d\,x}-10\,{\mathrm{e}}^{2\,c+2\,d\,x}-120\,{\mathrm{e}}^{6\,c+6\,d\,x}+210\,{\mathrm{e}}^{8\,c+8\,d\,x}-252\,{\mathrm{e}}^{10\,c+10\,d\,x}+210\,{\mathrm{e}}^{12\,c+12\,d\,x}-120\,{\mathrm{e}}^{14\,c+14\,d\,x}+45\,{\mathrm{e}}^{16\,c+16\,d\,x}-10\,{\mathrm{e}}^{18\,c+18\,d\,x}+{\mathrm{e}}^{20\,c+20\,d\,x}+1}-\frac{\frac{4\,b^3}{255\,d}+\frac{448\,{\mathrm{e}}^{12\,c+12\,d\,x}\,\left(1024\,a^3+1152\,a^2\,b+840\,a\,b^2+231\,b^3\right)}{255\,d}-\frac{48\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}}{85\,d}-\frac{1248\,b^3\,{\mathrm{e}}^{22\,c+22\,d\,x}}{85\,d}+\frac{364\,b^3\,{\mathrm{e}}^{24\,c+24\,d\,x}}{255\,d}-\frac{672\,b\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{85\,d}-\frac{1152\,b\,{\mathrm{e}}^{14\,c+14\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{85\,d}+\frac{12\,b\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{17\,d}+\frac{36\,b\,{\mathrm{e}}^{16\,c+16\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{17\,d}+\frac{48\,b^2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(8\,a+11\,b\right)}{85\,d}+\frac{528\,b^2\,{\mathrm{e}}^{20\,c+20\,d\,x}\,\left(8\,a+11\,b\right)}{85\,d}-\frac{32\,b^2\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(96\,a+55\,b\right)}{51\,d}-\frac{176\,b^2\,{\mathrm{e}}^{18\,c+18\,d\,x}\,\left(96\,a+55\,b\right)}{51\,d}}{15\,{\mathrm{e}}^{2\,c+2\,d\,x}-105\,{\mathrm{e}}^{4\,c+4\,d\,x}+455\,{\mathrm{e}}^{6\,c+6\,d\,x}-1365\,{\mathrm{e}}^{8\,c+8\,d\,x}+3003\,{\mathrm{e}}^{10\,c+10\,d\,x}-5005\,{\mathrm{e}}^{12\,c+12\,d\,x}+6435\,{\mathrm{e}}^{14\,c+14\,d\,x}-6435\,{\mathrm{e}}^{16\,c+16\,d\,x}+5005\,{\mathrm{e}}^{18\,c+18\,d\,x}-3003\,{\mathrm{e}}^{20\,c+20\,d\,x}+1365\,{\mathrm{e}}^{22\,c+22\,d\,x}-455\,{\mathrm{e}}^{24\,c+24\,d\,x}+105\,{\mathrm{e}}^{26\,c+26\,d\,x}-15\,{\mathrm{e}}^{28\,c+28\,d\,x}+{\mathrm{e}}^{30\,c+30\,d\,x}-1}-\frac{\frac{128\,{\mathrm{e}}^{16\,c+16\,d\,x}\,\left(1024\,a^3+1152\,a^2\,b+840\,a\,b^2+231\,b^3\right)}{17\,d}+\frac{32\,b^3\,{\mathrm{e}}^{4\,c+4\,d\,x}}{17\,d}-\frac{384\,b^3\,{\mathrm{e}}^{6\,c+6\,d\,x}}{17\,d}-\frac{384\,b^3\,{\mathrm{e}}^{26\,c+26\,d\,x}}{17\,d}+\frac{32\,b^3\,{\mathrm{e}}^{28\,c+28\,d\,x}}{17\,d}-\frac{768\,b\,{\mathrm{e}}^{14\,c+14\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{17\,d}-\frac{768\,b\,{\mathrm{e}}^{18\,c+18\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{17\,d}+\frac{96\,b\,{\mathrm{e}}^{12\,c+12\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{17\,d}+\frac{96\,b\,{\mathrm{e}}^{20\,c+20\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{17\,d}+\frac{192\,b^2\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(8\,a+11\,b\right)}{17\,d}+\frac{192\,b^2\,{\mathrm{e}}^{24\,c+24\,d\,x}\,\left(8\,a+11\,b\right)}{17\,d}-\frac{128\,b^2\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(96\,a+55\,b\right)}{17\,d}-\frac{128\,b^2\,{\mathrm{e}}^{22\,c+22\,d\,x}\,\left(96\,a+55\,b\right)}{17\,d}}{17\,{\mathrm{e}}^{2\,c+2\,d\,x}-136\,{\mathrm{e}}^{4\,c+4\,d\,x}+680\,{\mathrm{e}}^{6\,c+6\,d\,x}-2380\,{\mathrm{e}}^{8\,c+8\,d\,x}+6188\,{\mathrm{e}}^{10\,c+10\,d\,x}-12376\,{\mathrm{e}}^{12\,c+12\,d\,x}+19448\,{\mathrm{e}}^{14\,c+14\,d\,x}-24310\,{\mathrm{e}}^{16\,c+16\,d\,x}+24310\,{\mathrm{e}}^{18\,c+18\,d\,x}-19448\,{\mathrm{e}}^{20\,c+20\,d\,x}+12376\,{\mathrm{e}}^{22\,c+22\,d\,x}-6188\,{\mathrm{e}}^{24\,c+24\,d\,x}+2380\,{\mathrm{e}}^{26\,c+26\,d\,x}-680\,{\mathrm{e}}^{28\,c+28\,d\,x}+136\,{\mathrm{e}}^{30\,c+30\,d\,x}-17\,{\mathrm{e}}^{32\,c+32\,d\,x}+{\mathrm{e}}^{34\,c+34\,d\,x}-1}-\frac{\frac{8\,b^3\,{\mathrm{e}}^{4\,c+4\,d\,x}}{85\,d}-\frac{96\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}}{595\,d}+\frac{48\,b^2\,\left(8\,a+11\,b\right)}{7735\,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{48\,b\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{12155\,d}+\frac{24\,b^3\,{\mathrm{e}}^{8\,c+8\,d\,x}}{17\,d}-\frac{28\,b^3\,{\mathrm{e}}^{10\,c+10\,d\,x}}{85\,d}-\frac{12\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{2431\,d}-\frac{48\,b^2\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(8\,a+11\,b\right)}{221\,d}+\frac{8\,b^2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(96\,a+55\,b\right)}{221\,d}}{28\,{\mathrm{e}}^{4\,c+4\,d\,x}-8\,{\mathrm{e}}^{2\,c+2\,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{12\,b\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{17017\,d}+\frac{64\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(1024\,a^3+1152\,a^2\,b+840\,a\,b^2+231\,b^3\right)}{2431\,d}-\frac{576\,b^3\,{\mathrm{e}}^{14\,c+14\,d\,x}}{119\,d}+\frac{12\,b^3\,{\mathrm{e}}^{16\,c+16\,d\,x}}{17\,d}-\frac{96\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{2431\,d}-\frac{1152\,b\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{2431\,d}+\frac{360\,b\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{2431\,d}+\frac{288\,b^2\,{\mathrm{e}}^{12\,c+12\,d\,x}\,\left(8\,a+11\,b\right)}{221\,d}-\frac{96\,b^2\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(96\,a+55\,b\right)}{221\,d}}{11\,{\mathrm{e}}^{2\,c+2\,d\,x}-55\,{\mathrm{e}}^{4\,c+4\,d\,x}+165\,{\mathrm{e}}^{6\,c+6\,d\,x}-330\,{\mathrm{e}}^{8\,c+8\,d\,x}+462\,{\mathrm{e}}^{10\,c+10\,d\,x}-462\,{\mathrm{e}}^{12\,c+12\,d\,x}+330\,{\mathrm{e}}^{14\,c+14\,d\,x}-165\,{\mathrm{e}}^{16\,c+16\,d\,x}+55\,{\mathrm{e}}^{18\,c+18\,d\,x}-11\,{\mathrm{e}}^{20\,c+20\,d\,x}+{\mathrm{e}}^{22\,c+22\,d\,x}-1}-\frac{4\,b^3}{255\,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,"((24*b^3)/(595*d) - (64*exp(10*c + 10*d*x)*(840*a*b^2 + 1152*a^2*b + 1024*a^3 + 231*b^3))/(85*d) + (6864*b^3*exp(20*c + 20*d*x))/(595*d) - (104*b^3*exp(22*c + 22*d*x))/(85*d) + (48*b*exp(8*c + 8*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(17*d) + (576*b*exp(12*c + 12*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(85*d) - (24*b*exp(6*c + 6*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(119*d) - (144*b*exp(14*c + 14*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(119*d) - (48*b^2*exp(2*c + 2*d*x)*(8*a + 11*b))/(595*d) - (528*b^2*exp(18*c + 18*d*x)*(8*a + 11*b))/(119*d) + (16*b^2*exp(4*c + 4*d*x)*(96*a + 55*b))/(119*d) + (264*b^2*exp(16*c + 16*d*x)*(96*a + 55*b))/(119*d))/(91*exp(4*c + 4*d*x) - 14*exp(2*c + 2*d*x) - 364*exp(6*c + 6*d*x) + 1001*exp(8*c + 8*d*x) - 2002*exp(10*c + 10*d*x) + 3003*exp(12*c + 12*d*x) - 3432*exp(14*c + 14*d*x) + 3003*exp(16*c + 16*d*x) - 2002*exp(18*c + 18*d*x) + 1001*exp(20*c + 20*d*x) - 364*exp(22*c + 22*d*x) + 91*exp(24*c + 24*d*x) - 14*exp(26*c + 26*d*x) + exp(28*c + 28*d*x) + 1) + ((24*b^3)/(595*d) - (4*b^3*exp(2*c + 2*d*x))/(85*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) - ((64*exp(8*c + 8*d*x)*(840*a*b^2 + 1152*a^2*b + 1024*a^3 + 231*b^3))/(221*d) - (1056*b^3*exp(18*c + 18*d*x))/(119*d) + (88*b^3*exp(20*c + 20*d*x))/(85*d) + (48*b^2*(8*a + 11*b))/(7735*d) - (192*b*exp(6*c + 6*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(221*d) - (3456*b*exp(10*c + 10*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(1105*d) + (72*b*exp(4*c + 4*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(1547*d) + (144*b*exp(12*c + 12*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(221*d) + (4752*b^2*exp(16*c + 16*d*x)*(8*a + 11*b))/(1547*d) - (32*b^2*exp(2*c + 2*d*x)*(96*a + 55*b))/(1547*d) - (2112*b^2*exp(14*c + 14*d*x)*(96*a + 55*b))/(1547*d))/(13*exp(2*c + 2*d*x) - 78*exp(4*c + 4*d*x) + 286*exp(6*c + 6*d*x) - 715*exp(8*c + 8*d*x) + 1287*exp(10*c + 10*d*x) - 1716*exp(12*c + 12*d*x) + 1716*exp(14*c + 14*d*x) - 1287*exp(16*c + 16*d*x) + 715*exp(18*c + 18*d*x) - 286*exp(20*c + 20*d*x) + 78*exp(22*c + 22*d*x) - 13*exp(24*c + 24*d*x) + exp(26*c + 26*d*x) - 1) + ((48*b^3*exp(4*c + 4*d*x))/(119*d) - (8*b^3*exp(6*c + 6*d*x))/(51*d) + (8*b^2*(96*a + 55*b))/(4641*d) - (48*b^2*exp(2*c + 2*d*x)*(8*a + 11*b))/(1547*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) - ((64*(840*a*b^2 + 1152*a^2*b + 1024*a^3 + 231*b^3))/(109395*d) - (192*b^3*exp(10*c + 10*d*x))/(85*d) + (112*b^3*exp(12*c + 12*d*x))/(255*d) - (384*b*exp(2*c + 2*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(12155*d) + (48*b*exp(4*c + 4*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(2431*d) + (96*b^2*exp(8*c + 8*d*x)*(8*a + 11*b))/(221*d) - (64*b^2*exp(6*c + 6*d*x)*(96*a + 55*b))/(663*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) - ((64*exp(6*c + 6*d*x)*(840*a*b^2 + 1152*a^2*b + 1024*a^3 + 231*b^3))/(663*d) - (792*b^3*exp(16*c + 16*d*x))/(119*d) + (44*b^3*exp(18*c + 18*d*x))/(51*d) - (8*b^2*(96*a + 55*b))/(4641*d) - (48*b*exp(4*c + 4*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(221*d) - (288*b*exp(8*c + 8*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(221*d) + (12*b*exp(2*c + 2*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(1547*d) + (72*b*exp(10*c + 10*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(221*d) + (3168*b^2*exp(14*c + 14*d*x)*(8*a + 11*b))/(1547*d) - (176*b^2*exp(12*c + 12*d*x)*(96*a + 55*b))/(221*d))/(66*exp(4*c + 4*d*x) - 12*exp(2*c + 2*d*x) - 220*exp(6*c + 6*d*x) + 495*exp(8*c + 8*d*x) - 792*exp(10*c + 10*d*x) + 924*exp(12*c + 12*d*x) - 792*exp(14*c + 14*d*x) + 495*exp(16*c + 16*d*x) - 220*exp(18*c + 18*d*x) + 66*exp(20*c + 20*d*x) - 12*exp(22*c + 22*d*x) + exp(24*c + 24*d*x) + 1) - ((64*exp(14*c + 14*d*x)*(840*a*b^2 + 1152*a^2*b + 1024*a^3 + 231*b^3))/(17*d) + (4*b^3*exp(2*c + 2*d*x))/(17*d) - (72*b^3*exp(4*c + 4*d*x))/(17*d) - (312*b^3*exp(24*c + 24*d*x))/(17*d) + (28*b^3*exp(26*c + 26*d*x))/(17*d) - (336*b*exp(12*c + 12*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(17*d) - (432*b*exp(16*c + 16*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(17*d) + (36*b*exp(10*c + 10*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(17*d) + (60*b*exp(18*c + 18*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(17*d) + (48*b^2*exp(6*c + 6*d*x)*(8*a + 11*b))/(17*d) + (144*b^2*exp(22*c + 22*d*x)*(8*a + 11*b))/(17*d) - (40*b^2*exp(8*c + 8*d*x)*(96*a + 55*b))/(17*d) - (88*b^2*exp(20*c + 20*d*x)*(96*a + 55*b))/(17*d))/(120*exp(4*c + 4*d*x) - 16*exp(2*c + 2*d*x) - 560*exp(6*c + 6*d*x) + 1820*exp(8*c + 8*d*x) - 4368*exp(10*c + 10*d*x) + 8008*exp(12*c + 12*d*x) - 11440*exp(14*c + 14*d*x) + 12870*exp(16*c + 16*d*x) - 11440*exp(18*c + 18*d*x) + 8008*exp(20*c + 20*d*x) - 4368*exp(22*c + 22*d*x) + 1820*exp(24*c + 24*d*x) - 560*exp(26*c + 26*d*x) + 120*exp(28*c + 28*d*x) - 16*exp(30*c + 30*d*x) + exp(32*c + 32*d*x) + 1) - ((12*b*(448*a*b + 256*a^2 + 165*b^2))/(17017*d) - (96*b^3*exp(6*c + 6*d*x))/(119*d) + (4*b^3*exp(8*c + 8*d*x))/(17*d) + (144*b^2*exp(4*c + 4*d*x)*(8*a + 11*b))/(1547*d) - (16*b^2*exp(2*c + 2*d*x)*(96*a + 55*b))/(1547*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) + ((48*b*(112*a*b + 128*a^2 + 33*b^2))/(12155*d) - (64*exp(2*c + 2*d*x)*(840*a*b^2 + 1152*a^2*b + 1024*a^3 + 231*b^3))/(12155*d) + (288*b^3*exp(12*c + 12*d*x))/(85*d) - (48*b^3*exp(14*c + 14*d*x))/(85*d) + (1728*b*exp(4*c + 4*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(12155*d) - (144*b*exp(6*c + 6*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(2431*d) - (864*b^2*exp(10*c + 10*d*x)*(8*a + 11*b))/(1105*d) + (48*b^2*exp(8*c + 8*d*x)*(96*a + 55*b))/(221*d))/(45*exp(4*c + 4*d*x) - 10*exp(2*c + 2*d*x) - 120*exp(6*c + 6*d*x) + 210*exp(8*c + 8*d*x) - 252*exp(10*c + 10*d*x) + 210*exp(12*c + 12*d*x) - 120*exp(14*c + 14*d*x) + 45*exp(16*c + 16*d*x) - 10*exp(18*c + 18*d*x) + exp(20*c + 20*d*x) + 1) - ((4*b^3)/(255*d) + (448*exp(12*c + 12*d*x)*(840*a*b^2 + 1152*a^2*b + 1024*a^3 + 231*b^3))/(255*d) - (48*b^3*exp(2*c + 2*d*x))/(85*d) - (1248*b^3*exp(22*c + 22*d*x))/(85*d) + (364*b^3*exp(24*c + 24*d*x))/(255*d) - (672*b*exp(10*c + 10*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(85*d) - (1152*b*exp(14*c + 14*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(85*d) + (12*b*exp(8*c + 8*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(17*d) + (36*b*exp(16*c + 16*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(17*d) + (48*b^2*exp(4*c + 4*d*x)*(8*a + 11*b))/(85*d) + (528*b^2*exp(20*c + 20*d*x)*(8*a + 11*b))/(85*d) - (32*b^2*exp(6*c + 6*d*x)*(96*a + 55*b))/(51*d) - (176*b^2*exp(18*c + 18*d*x)*(96*a + 55*b))/(51*d))/(15*exp(2*c + 2*d*x) - 105*exp(4*c + 4*d*x) + 455*exp(6*c + 6*d*x) - 1365*exp(8*c + 8*d*x) + 3003*exp(10*c + 10*d*x) - 5005*exp(12*c + 12*d*x) + 6435*exp(14*c + 14*d*x) - 6435*exp(16*c + 16*d*x) + 5005*exp(18*c + 18*d*x) - 3003*exp(20*c + 20*d*x) + 1365*exp(22*c + 22*d*x) - 455*exp(24*c + 24*d*x) + 105*exp(26*c + 26*d*x) - 15*exp(28*c + 28*d*x) + exp(30*c + 30*d*x) - 1) - ((128*exp(16*c + 16*d*x)*(840*a*b^2 + 1152*a^2*b + 1024*a^3 + 231*b^3))/(17*d) + (32*b^3*exp(4*c + 4*d*x))/(17*d) - (384*b^3*exp(6*c + 6*d*x))/(17*d) - (384*b^3*exp(26*c + 26*d*x))/(17*d) + (32*b^3*exp(28*c + 28*d*x))/(17*d) - (768*b*exp(14*c + 14*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(17*d) - (768*b*exp(18*c + 18*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(17*d) + (96*b*exp(12*c + 12*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(17*d) + (96*b*exp(20*c + 20*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(17*d) + (192*b^2*exp(8*c + 8*d*x)*(8*a + 11*b))/(17*d) + (192*b^2*exp(24*c + 24*d*x)*(8*a + 11*b))/(17*d) - (128*b^2*exp(10*c + 10*d*x)*(96*a + 55*b))/(17*d) - (128*b^2*exp(22*c + 22*d*x)*(96*a + 55*b))/(17*d))/(17*exp(2*c + 2*d*x) - 136*exp(4*c + 4*d*x) + 680*exp(6*c + 6*d*x) - 2380*exp(8*c + 8*d*x) + 6188*exp(10*c + 10*d*x) - 12376*exp(12*c + 12*d*x) + 19448*exp(14*c + 14*d*x) - 24310*exp(16*c + 16*d*x) + 24310*exp(18*c + 18*d*x) - 19448*exp(20*c + 20*d*x) + 12376*exp(22*c + 22*d*x) - 6188*exp(24*c + 24*d*x) + 2380*exp(26*c + 26*d*x) - 680*exp(28*c + 28*d*x) + 136*exp(30*c + 30*d*x) - 17*exp(32*c + 32*d*x) + exp(34*c + 34*d*x) - 1) - ((8*b^3*exp(4*c + 4*d*x))/(85*d) - (96*b^3*exp(2*c + 2*d*x))/(595*d) + (48*b^2*(8*a + 11*b))/(7735*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) + ((48*b*(112*a*b + 128*a^2 + 33*b^2))/(12155*d) + (24*b^3*exp(8*c + 8*d*x))/(17*d) - (28*b^3*exp(10*c + 10*d*x))/(85*d) - (12*b*exp(2*c + 2*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(2431*d) - (48*b^2*exp(6*c + 6*d*x)*(8*a + 11*b))/(221*d) + (8*b^2*exp(4*c + 4*d*x)*(96*a + 55*b))/(221*d))/(28*exp(4*c + 4*d*x) - 8*exp(2*c + 2*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) - ((12*b*(448*a*b + 256*a^2 + 165*b^2))/(17017*d) + (64*exp(4*c + 4*d*x)*(840*a*b^2 + 1152*a^2*b + 1024*a^3 + 231*b^3))/(2431*d) - (576*b^3*exp(14*c + 14*d*x))/(119*d) + (12*b^3*exp(16*c + 16*d*x))/(17*d) - (96*b*exp(2*c + 2*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(2431*d) - (1152*b*exp(6*c + 6*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(2431*d) + (360*b*exp(8*c + 8*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(2431*d) + (288*b^2*exp(12*c + 12*d*x)*(8*a + 11*b))/(221*d) - (96*b^2*exp(10*c + 10*d*x)*(96*a + 55*b))/(221*d))/(11*exp(2*c + 2*d*x) - 55*exp(4*c + 4*d*x) + 165*exp(6*c + 6*d*x) - 330*exp(8*c + 8*d*x) + 462*exp(10*c + 10*d*x) - 462*exp(12*c + 12*d*x) + 330*exp(14*c + 14*d*x) - 165*exp(16*c + 16*d*x) + 55*exp(18*c + 18*d*x) - 11*exp(20*c + 20*d*x) + exp(22*c + 22*d*x) - 1) - (4*b^3)/(255*d*(3*exp(2*c + 2*d*x) - 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) - 1))","B"
228,1,5190,248,1.415654,"\text{Not used}","int((a + b*sinh(c + d*x)^4)^3/sinh(c + d*x)^20,x)","\frac{\frac{512\,b\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{138567\,d}+\frac{1792\,b^3\,{\mathrm{e}}^{8\,c+8\,d\,x}}{969\,d}-\frac{448\,b^3\,{\mathrm{e}}^{10\,c+10\,d\,x}}{969\,d}-\frac{64\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{12597\,d}-\frac{256\,b^2\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(8\,a+11\,b\right)}{969\,d}+\frac{512\,b^2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(96\,a+55\,b\right)}{12597\,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{8\,b\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{12597\,d}+\frac{128\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(1024\,a^3+1152\,a^2\,b+840\,a\,b^2+231\,b^3\right)}{4199\,d}-\frac{2816\,b^3\,{\mathrm{e}}^{14\,c+14\,d\,x}}{323\,d}+\frac{440\,b^3\,{\mathrm{e}}^{16\,c+16\,d\,x}}{323\,d}-\frac{512\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{12597\,d}-\frac{2560\,b\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{4199\,d}+\frac{880\,b\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{4199\,d}+\frac{704\,b^2\,{\mathrm{e}}^{12\,c+12\,d\,x}\,\left(8\,a+11\,b\right)}{323\,d}-\frac{2816\,b^2\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(96\,a+55\,b\right)}{4199\,d}}{66\,{\mathrm{e}}^{4\,c+4\,d\,x}-12\,{\mathrm{e}}^{2\,c+2\,d\,x}-220\,{\mathrm{e}}^{6\,c+6\,d\,x}+495\,{\mathrm{e}}^{8\,c+8\,d\,x}-792\,{\mathrm{e}}^{10\,c+10\,d\,x}+924\,{\mathrm{e}}^{12\,c+12\,d\,x}-792\,{\mathrm{e}}^{14\,c+14\,d\,x}+495\,{\mathrm{e}}^{16\,c+16\,d\,x}-220\,{\mathrm{e}}^{18\,c+18\,d\,x}+66\,{\mathrm{e}}^{20\,c+20\,d\,x}-12\,{\mathrm{e}}^{22\,c+22\,d\,x}+{\mathrm{e}}^{24\,c+24\,d\,x}+1}-\frac{\frac{512\,{\mathrm{e}}^{18\,c+18\,d\,x}\,\left(1024\,a^3+1152\,a^2\,b+840\,a\,b^2+231\,b^3\right)}{19\,d}+\frac{128\,b^3\,{\mathrm{e}}^{6\,c+6\,d\,x}}{19\,d}-\frac{1536\,b^3\,{\mathrm{e}}^{8\,c+8\,d\,x}}{19\,d}-\frac{1536\,b^3\,{\mathrm{e}}^{28\,c+28\,d\,x}}{19\,d}+\frac{128\,b^3\,{\mathrm{e}}^{30\,c+30\,d\,x}}{19\,d}-\frac{3072\,b\,{\mathrm{e}}^{16\,c+16\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{19\,d}-\frac{3072\,b\,{\mathrm{e}}^{20\,c+20\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{19\,d}+\frac{384\,b\,{\mathrm{e}}^{14\,c+14\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{19\,d}+\frac{384\,b\,{\mathrm{e}}^{22\,c+22\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{19\,d}+\frac{768\,b^2\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(8\,a+11\,b\right)}{19\,d}+\frac{768\,b^2\,{\mathrm{e}}^{26\,c+26\,d\,x}\,\left(8\,a+11\,b\right)}{19\,d}-\frac{512\,b^2\,{\mathrm{e}}^{12\,c+12\,d\,x}\,\left(96\,a+55\,b\right)}{19\,d}-\frac{512\,b^2\,{\mathrm{e}}^{24\,c+24\,d\,x}\,\left(96\,a+55\,b\right)}{19\,d}}{19\,{\mathrm{e}}^{2\,c+2\,d\,x}-171\,{\mathrm{e}}^{4\,c+4\,d\,x}+969\,{\mathrm{e}}^{6\,c+6\,d\,x}-3876\,{\mathrm{e}}^{8\,c+8\,d\,x}+11628\,{\mathrm{e}}^{10\,c+10\,d\,x}-27132\,{\mathrm{e}}^{12\,c+12\,d\,x}+50388\,{\mathrm{e}}^{14\,c+14\,d\,x}-75582\,{\mathrm{e}}^{16\,c+16\,d\,x}+92378\,{\mathrm{e}}^{18\,c+18\,d\,x}-92378\,{\mathrm{e}}^{20\,c+20\,d\,x}+75582\,{\mathrm{e}}^{22\,c+22\,d\,x}-50388\,{\mathrm{e}}^{24\,c+24\,d\,x}+27132\,{\mathrm{e}}^{26\,c+26\,d\,x}-11628\,{\mathrm{e}}^{28\,c+28\,d\,x}+3876\,{\mathrm{e}}^{30\,c+30\,d\,x}-969\,{\mathrm{e}}^{32\,c+32\,d\,x}+171\,{\mathrm{e}}^{34\,c+34\,d\,x}-19\,{\mathrm{e}}^{36\,c+36\,d\,x}+{\mathrm{e}}^{38\,c+38\,d\,x}-1}+\frac{\frac{128\,b^3}{4845\,d}-\frac{1792\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(1024\,a^3+1152\,a^2\,b+840\,a\,b^2+231\,b^3\right)}{1615\,d}+\frac{128128\,b^3\,{\mathrm{e}}^{20\,c+20\,d\,x}}{4845\,d}-\frac{2912\,b^3\,{\mathrm{e}}^{22\,c+22\,d\,x}}{969\,d}+\frac{3584\,b\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{969\,d}+\frac{3584\,b\,{\mathrm{e}}^{12\,c+12\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{323\,d}-\frac{224\,b\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{969\,d}-\frac{704\,b\,{\mathrm{e}}^{14\,c+14\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{323\,d}-\frac{64\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(8\,a+11\,b\right)}{969\,d}-\frac{9152\,b^2\,{\mathrm{e}}^{18\,c+18\,d\,x}\,\left(8\,a+11\,b\right)}{969\,d}+\frac{128\,b^2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(96\,a+55\,b\right)}{969\,d}+\frac{1408\,b^2\,{\mathrm{e}}^{16\,c+16\,d\,x}\,\left(96\,a+55\,b\right)}{323\,d}}{15\,{\mathrm{e}}^{2\,c+2\,d\,x}-105\,{\mathrm{e}}^{4\,c+4\,d\,x}+455\,{\mathrm{e}}^{6\,c+6\,d\,x}-1365\,{\mathrm{e}}^{8\,c+8\,d\,x}+3003\,{\mathrm{e}}^{10\,c+10\,d\,x}-5005\,{\mathrm{e}}^{12\,c+12\,d\,x}+6435\,{\mathrm{e}}^{14\,c+14\,d\,x}-6435\,{\mathrm{e}}^{16\,c+16\,d\,x}+5005\,{\mathrm{e}}^{18\,c+18\,d\,x}-3003\,{\mathrm{e}}^{20\,c+20\,d\,x}+1365\,{\mathrm{e}}^{22\,c+22\,d\,x}-455\,{\mathrm{e}}^{24\,c+24\,d\,x}+105\,{\mathrm{e}}^{26\,c+26\,d\,x}-15\,{\mathrm{e}}^{28\,c+28\,d\,x}+{\mathrm{e}}^{30\,c+30\,d\,x}-1}+\frac{\frac{128\,b^3}{4845\,d}-\frac{32\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}}{969\,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{128\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(1024\,a^3+1152\,a^2\,b+840\,a\,b^2+231\,b^3\right)}{323\,d}-\frac{18304\,b^3\,{\mathrm{e}}^{18\,c+18\,d\,x}}{969\,d}+\frac{2288\,b^3\,{\mathrm{e}}^{20\,c+20\,d\,x}}{969\,d}+\frac{32\,b^2\,\left(8\,a+11\,b\right)}{6783\,d}-\frac{1024\,b\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{969\,d}-\frac{1536\,b\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{323\,d}+\frac{16\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{323\,d}+\frac{352\,b\,{\mathrm{e}}^{12\,c+12\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{323\,d}+\frac{13728\,b^2\,{\mathrm{e}}^{16\,c+16\,d\,x}\,\left(8\,a+11\,b\right)}{2261\,d}-\frac{128\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(96\,a+55\,b\right)}{6783\,d}-\frac{5632\,b^2\,{\mathrm{e}}^{14\,c+14\,d\,x}\,\left(96\,a+55\,b\right)}{2261\,d}}{91\,{\mathrm{e}}^{4\,c+4\,d\,x}-14\,{\mathrm{e}}^{2\,c+2\,d\,x}-364\,{\mathrm{e}}^{6\,c+6\,d\,x}+1001\,{\mathrm{e}}^{8\,c+8\,d\,x}-2002\,{\mathrm{e}}^{10\,c+10\,d\,x}+3003\,{\mathrm{e}}^{12\,c+12\,d\,x}-3432\,{\mathrm{e}}^{14\,c+14\,d\,x}+3003\,{\mathrm{e}}^{16\,c+16\,d\,x}-2002\,{\mathrm{e}}^{18\,c+18\,d\,x}+1001\,{\mathrm{e}}^{20\,c+20\,d\,x}-364\,{\mathrm{e}}^{22\,c+22\,d\,x}+91\,{\mathrm{e}}^{24\,c+24\,d\,x}-14\,{\mathrm{e}}^{26\,c+26\,d\,x}+{\mathrm{e}}^{28\,c+28\,d\,x}+1}+\frac{\frac{128\,b^3\,{\mathrm{e}}^{4\,c+4\,d\,x}}{323\,d}-\frac{160\,b^3\,{\mathrm{e}}^{6\,c+6\,d\,x}}{969\,d}+\frac{128\,b^2\,\left(96\,a+55\,b\right)}{88179\,d}-\frac{64\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(8\,a+11\,b\right)}{2261\,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{128\,\left(1024\,a^3+1152\,a^2\,b+840\,a\,b^2+231\,b^3\right)}{230945\,d}-\frac{5376\,b^3\,{\mathrm{e}}^{10\,c+10\,d\,x}}{1615\,d}+\frac{224\,b^3\,{\mathrm{e}}^{12\,c+12\,d\,x}}{323\,d}-\frac{1536\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{46189\,d}+\frac{96\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{4199\,d}+\frac{192\,b^2\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(8\,a+11\,b\right)}{323\,d}-\frac{512\,b^2\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(96\,a+55\,b\right)}{4199\,d}}{45\,{\mathrm{e}}^{4\,c+4\,d\,x}-10\,{\mathrm{e}}^{2\,c+2\,d\,x}-120\,{\mathrm{e}}^{6\,c+6\,d\,x}+210\,{\mathrm{e}}^{8\,c+8\,d\,x}-252\,{\mathrm{e}}^{10\,c+10\,d\,x}+210\,{\mathrm{e}}^{12\,c+12\,d\,x}-120\,{\mathrm{e}}^{14\,c+14\,d\,x}+45\,{\mathrm{e}}^{16\,c+16\,d\,x}-10\,{\mathrm{e}}^{18\,c+18\,d\,x}+{\mathrm{e}}^{20\,c+20\,d\,x}+1}-\frac{\frac{512\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(1024\,a^3+1152\,a^2\,b+840\,a\,b^2+231\,b^3\right)}{4199\,d}-\frac{4224\,b^3\,{\mathrm{e}}^{16\,c+16\,d\,x}}{323\,d}+\frac{1760\,b^3\,{\mathrm{e}}^{18\,c+18\,d\,x}}{969\,d}-\frac{128\,b^2\,\left(96\,a+55\,b\right)}{88179\,d}-\frac{1024\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{4199\,d}-\frac{7680\,b\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{4199\,d}+\frac{32\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{4199\,d}+\frac{2112\,b\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{4199\,d}+\frac{8448\,b^2\,{\mathrm{e}}^{14\,c+14\,d\,x}\,\left(8\,a+11\,b\right)}{2261\,d}-\frac{5632\,b^2\,{\mathrm{e}}^{12\,c+12\,d\,x}\,\left(96\,a+55\,b\right)}{4199\,d}}{13\,{\mathrm{e}}^{2\,c+2\,d\,x}-78\,{\mathrm{e}}^{4\,c+4\,d\,x}+286\,{\mathrm{e}}^{6\,c+6\,d\,x}-715\,{\mathrm{e}}^{8\,c+8\,d\,x}+1287\,{\mathrm{e}}^{10\,c+10\,d\,x}-1716\,{\mathrm{e}}^{12\,c+12\,d\,x}+1716\,{\mathrm{e}}^{14\,c+14\,d\,x}-1287\,{\mathrm{e}}^{16\,c+16\,d\,x}+715\,{\mathrm{e}}^{18\,c+18\,d\,x}-286\,{\mathrm{e}}^{20\,c+20\,d\,x}+78\,{\mathrm{e}}^{22\,c+22\,d\,x}-13\,{\mathrm{e}}^{24\,c+24\,d\,x}+{\mathrm{e}}^{26\,c+26\,d\,x}-1}-\frac{\frac{2048\,{\mathrm{e}}^{14\,c+14\,d\,x}\,\left(1024\,a^3+1152\,a^2\,b+840\,a\,b^2+231\,b^3\right)}{323\,d}+\frac{128\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}}{969\,d}-\frac{1024\,b^3\,{\mathrm{e}}^{4\,c+4\,d\,x}}{323\,d}-\frac{46592\,b^3\,{\mathrm{e}}^{24\,c+24\,d\,x}}{969\,d}+\frac{4480\,b^3\,{\mathrm{e}}^{26\,c+26\,d\,x}}{969\,d}-\frac{28672\,b\,{\mathrm{e}}^{12\,c+12\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{969\,d}-\frac{15360\,b\,{\mathrm{e}}^{16\,c+16\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{323\,d}+\frac{896\,b\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{323\,d}+\frac{7040\,b\,{\mathrm{e}}^{18\,c+18\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{969\,d}+\frac{2560\,b^2\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(8\,a+11\,b\right)}{969\,d}+\frac{6656\,b^2\,{\mathrm{e}}^{22\,c+22\,d\,x}\,\left(8\,a+11\,b\right)}{323\,d}-\frac{2560\,b^2\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(96\,a+55\,b\right)}{969\,d}-\frac{11264\,b^2\,{\mathrm{e}}^{20\,c+20\,d\,x}\,\left(96\,a+55\,b\right)}{969\,d}}{17\,{\mathrm{e}}^{2\,c+2\,d\,x}-136\,{\mathrm{e}}^{4\,c+4\,d\,x}+680\,{\mathrm{e}}^{6\,c+6\,d\,x}-2380\,{\mathrm{e}}^{8\,c+8\,d\,x}+6188\,{\mathrm{e}}^{10\,c+10\,d\,x}-12376\,{\mathrm{e}}^{12\,c+12\,d\,x}+19448\,{\mathrm{e}}^{14\,c+14\,d\,x}-24310\,{\mathrm{e}}^{16\,c+16\,d\,x}+24310\,{\mathrm{e}}^{18\,c+18\,d\,x}-19448\,{\mathrm{e}}^{20\,c+20\,d\,x}+12376\,{\mathrm{e}}^{22\,c+22\,d\,x}-6188\,{\mathrm{e}}^{24\,c+24\,d\,x}+2380\,{\mathrm{e}}^{26\,c+26\,d\,x}-680\,{\mathrm{e}}^{28\,c+28\,d\,x}+136\,{\mathrm{e}}^{30\,c+30\,d\,x}-17\,{\mathrm{e}}^{32\,c+32\,d\,x}+{\mathrm{e}}^{34\,c+34\,d\,x}-1}-\frac{\frac{8\,b\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{12597\,d}-\frac{896\,b^3\,{\mathrm{e}}^{6\,c+6\,d\,x}}{969\,d}+\frac{280\,b^3\,{\mathrm{e}}^{8\,c+8\,d\,x}}{969\,d}+\frac{32\,b^2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(8\,a+11\,b\right)}{323\,d}-\frac{128\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(96\,a+55\,b\right)}{12597\,d}}{28\,{\mathrm{e}}^{4\,c+4\,d\,x}-8\,{\mathrm{e}}^{2\,c+2\,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{512\,b\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{138567\,d}-\frac{256\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(1024\,a^3+1152\,a^2\,b+840\,a\,b^2+231\,b^3\right)}{46189\,d}+\frac{1792\,b^3\,{\mathrm{e}}^{12\,c+12\,d\,x}}{323\,d}-\frac{320\,b^3\,{\mathrm{e}}^{14\,c+14\,d\,x}}{323\,d}+\frac{7680\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{46189\,d}-\frac{320\,b\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{4199\,d}-\frac{384\,b^2\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(8\,a+11\,b\right)}{323\,d}+\frac{1280\,b^2\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(96\,a+55\,b\right)}{4199\,d}}{11\,{\mathrm{e}}^{2\,c+2\,d\,x}-55\,{\mathrm{e}}^{4\,c+4\,d\,x}+165\,{\mathrm{e}}^{6\,c+6\,d\,x}-330\,{\mathrm{e}}^{8\,c+8\,d\,x}+462\,{\mathrm{e}}^{10\,c+10\,d\,x}-462\,{\mathrm{e}}^{12\,c+12\,d\,x}+330\,{\mathrm{e}}^{14\,c+14\,d\,x}-165\,{\mathrm{e}}^{16\,c+16\,d\,x}+55\,{\mathrm{e}}^{18\,c+18\,d\,x}-11\,{\mathrm{e}}^{20\,c+20\,d\,x}+{\mathrm{e}}^{22\,c+22\,d\,x}-1}-\frac{\frac{8\,b^3}{969\,d}+\frac{896\,{\mathrm{e}}^{12\,c+12\,d\,x}\,\left(1024\,a^3+1152\,a^2\,b+840\,a\,b^2+231\,b^3\right)}{323\,d}-\frac{128\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}}{323\,d}-\frac{11648\,b^3\,{\mathrm{e}}^{22\,c+22\,d\,x}}{323\,d}+\frac{3640\,b^3\,{\mathrm{e}}^{24\,c+24\,d\,x}}{969\,d}-\frac{3584\,b\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{323\,d}-\frac{7680\,b\,{\mathrm{e}}^{14\,c+14\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{323\,d}+\frac{280\,b\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{323\,d}+\frac{1320\,b\,{\mathrm{e}}^{16\,c+16\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{323\,d}+\frac{160\,b^2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(8\,a+11\,b\right)}{323\,d}+\frac{4576\,b^2\,{\mathrm{e}}^{20\,c+20\,d\,x}\,\left(8\,a+11\,b\right)}{323\,d}-\frac{640\,b^2\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(96\,a+55\,b\right)}{969\,d}-\frac{7040\,b^2\,{\mathrm{e}}^{18\,c+18\,d\,x}\,\left(96\,a+55\,b\right)}{969\,d}}{120\,{\mathrm{e}}^{4\,c+4\,d\,x}-16\,{\mathrm{e}}^{2\,c+2\,d\,x}-560\,{\mathrm{e}}^{6\,c+6\,d\,x}+1820\,{\mathrm{e}}^{8\,c+8\,d\,x}-4368\,{\mathrm{e}}^{10\,c+10\,d\,x}+8008\,{\mathrm{e}}^{12\,c+12\,d\,x}-11440\,{\mathrm{e}}^{14\,c+14\,d\,x}+12870\,{\mathrm{e}}^{16\,c+16\,d\,x}-11440\,{\mathrm{e}}^{18\,c+18\,d\,x}+8008\,{\mathrm{e}}^{20\,c+20\,d\,x}-4368\,{\mathrm{e}}^{22\,c+22\,d\,x}+1820\,{\mathrm{e}}^{24\,c+24\,d\,x}-560\,{\mathrm{e}}^{26\,c+26\,d\,x}+120\,{\mathrm{e}}^{28\,c+28\,d\,x}-16\,{\mathrm{e}}^{30\,c+30\,d\,x}+{\mathrm{e}}^{32\,c+32\,d\,x}+1}-\frac{\frac{256\,{\mathrm{e}}^{16\,c+16\,d\,x}\,\left(1024\,a^3+1152\,a^2\,b+840\,a\,b^2+231\,b^3\right)}{19\,d}+\frac{64\,b^3\,{\mathrm{e}}^{4\,c+4\,d\,x}}{57\,d}-\frac{1024\,b^3\,{\mathrm{e}}^{6\,c+6\,d\,x}}{57\,d}-\frac{3584\,b^3\,{\mathrm{e}}^{26\,c+26\,d\,x}}{57\,d}+\frac{320\,b^3\,{\mathrm{e}}^{28\,c+28\,d\,x}}{57\,d}-\frac{4096\,b\,{\mathrm{e}}^{14\,c+14\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{57\,d}-\frac{5120\,b\,{\mathrm{e}}^{18\,c+18\,d\,x}\,\left(128\,a^2+112\,a\,b+33\,b^2\right)}{57\,d}+\frac{448\,b\,{\mathrm{e}}^{12\,c+12\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{57\,d}+\frac{704\,b\,{\mathrm{e}}^{20\,c+20\,d\,x}\,\left(256\,a^2+448\,a\,b+165\,b^2\right)}{57\,d}+\frac{640\,b^2\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(8\,a+11\,b\right)}{57\,d}+\frac{1664\,b^2\,{\mathrm{e}}^{24\,c+24\,d\,x}\,\left(8\,a+11\,b\right)}{57\,d}-\frac{512\,b^2\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(96\,a+55\,b\right)}{57\,d}-\frac{1024\,b^2\,{\mathrm{e}}^{22\,c+22\,d\,x}\,\left(96\,a+55\,b\right)}{57\,d}}{153\,{\mathrm{e}}^{4\,c+4\,d\,x}-18\,{\mathrm{e}}^{2\,c+2\,d\,x}-816\,{\mathrm{e}}^{6\,c+6\,d\,x}+3060\,{\mathrm{e}}^{8\,c+8\,d\,x}-8568\,{\mathrm{e}}^{10\,c+10\,d\,x}+18564\,{\mathrm{e}}^{12\,c+12\,d\,x}-31824\,{\mathrm{e}}^{14\,c+14\,d\,x}+43758\,{\mathrm{e}}^{16\,c+16\,d\,x}-48620\,{\mathrm{e}}^{18\,c+18\,d\,x}+43758\,{\mathrm{e}}^{20\,c+20\,d\,x}-31824\,{\mathrm{e}}^{22\,c+22\,d\,x}+18564\,{\mathrm{e}}^{24\,c+24\,d\,x}-8568\,{\mathrm{e}}^{26\,c+26\,d\,x}+3060\,{\mathrm{e}}^{28\,c+28\,d\,x}-816\,{\mathrm{e}}^{30\,c+30\,d\,x}+153\,{\mathrm{e}}^{32\,c+32\,d\,x}-18\,{\mathrm{e}}^{34\,c+34\,d\,x}+{\mathrm{e}}^{36\,c+36\,d\,x}+1}-\frac{\frac{80\,b^3\,{\mathrm{e}}^{4\,c+4\,d\,x}}{969\,d}-\frac{128\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}}{969\,d}+\frac{32\,b^2\,\left(8\,a+11\,b\right)}{6783\,d}}{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}-\frac{8\,b^3}{969\,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,"((512*b*(112*a*b + 128*a^2 + 33*b^2))/(138567*d) + (1792*b^3*exp(8*c + 8*d*x))/(969*d) - (448*b^3*exp(10*c + 10*d*x))/(969*d) - (64*b*exp(2*c + 2*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(12597*d) - (256*b^2*exp(6*c + 6*d*x)*(8*a + 11*b))/(969*d) + (512*b^2*exp(4*c + 4*d*x)*(96*a + 55*b))/(12597*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) - ((8*b*(448*a*b + 256*a^2 + 165*b^2))/(12597*d) + (128*exp(4*c + 4*d*x)*(840*a*b^2 + 1152*a^2*b + 1024*a^3 + 231*b^3))/(4199*d) - (2816*b^3*exp(14*c + 14*d*x))/(323*d) + (440*b^3*exp(16*c + 16*d*x))/(323*d) - (512*b*exp(2*c + 2*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(12597*d) - (2560*b*exp(6*c + 6*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(4199*d) + (880*b*exp(8*c + 8*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(4199*d) + (704*b^2*exp(12*c + 12*d*x)*(8*a + 11*b))/(323*d) - (2816*b^2*exp(10*c + 10*d*x)*(96*a + 55*b))/(4199*d))/(66*exp(4*c + 4*d*x) - 12*exp(2*c + 2*d*x) - 220*exp(6*c + 6*d*x) + 495*exp(8*c + 8*d*x) - 792*exp(10*c + 10*d*x) + 924*exp(12*c + 12*d*x) - 792*exp(14*c + 14*d*x) + 495*exp(16*c + 16*d*x) - 220*exp(18*c + 18*d*x) + 66*exp(20*c + 20*d*x) - 12*exp(22*c + 22*d*x) + exp(24*c + 24*d*x) + 1) - ((512*exp(18*c + 18*d*x)*(840*a*b^2 + 1152*a^2*b + 1024*a^3 + 231*b^3))/(19*d) + (128*b^3*exp(6*c + 6*d*x))/(19*d) - (1536*b^3*exp(8*c + 8*d*x))/(19*d) - (1536*b^3*exp(28*c + 28*d*x))/(19*d) + (128*b^3*exp(30*c + 30*d*x))/(19*d) - (3072*b*exp(16*c + 16*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(19*d) - (3072*b*exp(20*c + 20*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(19*d) + (384*b*exp(14*c + 14*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(19*d) + (384*b*exp(22*c + 22*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(19*d) + (768*b^2*exp(10*c + 10*d*x)*(8*a + 11*b))/(19*d) + (768*b^2*exp(26*c + 26*d*x)*(8*a + 11*b))/(19*d) - (512*b^2*exp(12*c + 12*d*x)*(96*a + 55*b))/(19*d) - (512*b^2*exp(24*c + 24*d*x)*(96*a + 55*b))/(19*d))/(19*exp(2*c + 2*d*x) - 171*exp(4*c + 4*d*x) + 969*exp(6*c + 6*d*x) - 3876*exp(8*c + 8*d*x) + 11628*exp(10*c + 10*d*x) - 27132*exp(12*c + 12*d*x) + 50388*exp(14*c + 14*d*x) - 75582*exp(16*c + 16*d*x) + 92378*exp(18*c + 18*d*x) - 92378*exp(20*c + 20*d*x) + 75582*exp(22*c + 22*d*x) - 50388*exp(24*c + 24*d*x) + 27132*exp(26*c + 26*d*x) - 11628*exp(28*c + 28*d*x) + 3876*exp(30*c + 30*d*x) - 969*exp(32*c + 32*d*x) + 171*exp(34*c + 34*d*x) - 19*exp(36*c + 36*d*x) + exp(38*c + 38*d*x) - 1) + ((128*b^3)/(4845*d) - (1792*exp(10*c + 10*d*x)*(840*a*b^2 + 1152*a^2*b + 1024*a^3 + 231*b^3))/(1615*d) + (128128*b^3*exp(20*c + 20*d*x))/(4845*d) - (2912*b^3*exp(22*c + 22*d*x))/(969*d) + (3584*b*exp(8*c + 8*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(969*d) + (3584*b*exp(12*c + 12*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(323*d) - (224*b*exp(6*c + 6*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(969*d) - (704*b*exp(14*c + 14*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(323*d) - (64*b^2*exp(2*c + 2*d*x)*(8*a + 11*b))/(969*d) - (9152*b^2*exp(18*c + 18*d*x)*(8*a + 11*b))/(969*d) + (128*b^2*exp(4*c + 4*d*x)*(96*a + 55*b))/(969*d) + (1408*b^2*exp(16*c + 16*d*x)*(96*a + 55*b))/(323*d))/(15*exp(2*c + 2*d*x) - 105*exp(4*c + 4*d*x) + 455*exp(6*c + 6*d*x) - 1365*exp(8*c + 8*d*x) + 3003*exp(10*c + 10*d*x) - 5005*exp(12*c + 12*d*x) + 6435*exp(14*c + 14*d*x) - 6435*exp(16*c + 16*d*x) + 5005*exp(18*c + 18*d*x) - 3003*exp(20*c + 20*d*x) + 1365*exp(22*c + 22*d*x) - 455*exp(24*c + 24*d*x) + 105*exp(26*c + 26*d*x) - 15*exp(28*c + 28*d*x) + exp(30*c + 30*d*x) - 1) + ((128*b^3)/(4845*d) - (32*b^3*exp(2*c + 2*d*x))/(969*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*exp(8*c + 8*d*x)*(840*a*b^2 + 1152*a^2*b + 1024*a^3 + 231*b^3))/(323*d) - (18304*b^3*exp(18*c + 18*d*x))/(969*d) + (2288*b^3*exp(20*c + 20*d*x))/(969*d) + (32*b^2*(8*a + 11*b))/(6783*d) - (1024*b*exp(6*c + 6*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(969*d) - (1536*b*exp(10*c + 10*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(323*d) + (16*b*exp(4*c + 4*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(323*d) + (352*b*exp(12*c + 12*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(323*d) + (13728*b^2*exp(16*c + 16*d*x)*(8*a + 11*b))/(2261*d) - (128*b^2*exp(2*c + 2*d*x)*(96*a + 55*b))/(6783*d) - (5632*b^2*exp(14*c + 14*d*x)*(96*a + 55*b))/(2261*d))/(91*exp(4*c + 4*d*x) - 14*exp(2*c + 2*d*x) - 364*exp(6*c + 6*d*x) + 1001*exp(8*c + 8*d*x) - 2002*exp(10*c + 10*d*x) + 3003*exp(12*c + 12*d*x) - 3432*exp(14*c + 14*d*x) + 3003*exp(16*c + 16*d*x) - 2002*exp(18*c + 18*d*x) + 1001*exp(20*c + 20*d*x) - 364*exp(22*c + 22*d*x) + 91*exp(24*c + 24*d*x) - 14*exp(26*c + 26*d*x) + exp(28*c + 28*d*x) + 1) + ((128*b^3*exp(4*c + 4*d*x))/(323*d) - (160*b^3*exp(6*c + 6*d*x))/(969*d) + (128*b^2*(96*a + 55*b))/(88179*d) - (64*b^2*exp(2*c + 2*d*x)*(8*a + 11*b))/(2261*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) - ((128*(840*a*b^2 + 1152*a^2*b + 1024*a^3 + 231*b^3))/(230945*d) - (5376*b^3*exp(10*c + 10*d*x))/(1615*d) + (224*b^3*exp(12*c + 12*d*x))/(323*d) - (1536*b*exp(2*c + 2*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(46189*d) + (96*b*exp(4*c + 4*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(4199*d) + (192*b^2*exp(8*c + 8*d*x)*(8*a + 11*b))/(323*d) - (512*b^2*exp(6*c + 6*d*x)*(96*a + 55*b))/(4199*d))/(45*exp(4*c + 4*d*x) - 10*exp(2*c + 2*d*x) - 120*exp(6*c + 6*d*x) + 210*exp(8*c + 8*d*x) - 252*exp(10*c + 10*d*x) + 210*exp(12*c + 12*d*x) - 120*exp(14*c + 14*d*x) + 45*exp(16*c + 16*d*x) - 10*exp(18*c + 18*d*x) + exp(20*c + 20*d*x) + 1) - ((512*exp(6*c + 6*d*x)*(840*a*b^2 + 1152*a^2*b + 1024*a^3 + 231*b^3))/(4199*d) - (4224*b^3*exp(16*c + 16*d*x))/(323*d) + (1760*b^3*exp(18*c + 18*d*x))/(969*d) - (128*b^2*(96*a + 55*b))/(88179*d) - (1024*b*exp(4*c + 4*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(4199*d) - (7680*b*exp(8*c + 8*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(4199*d) + (32*b*exp(2*c + 2*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(4199*d) + (2112*b*exp(10*c + 10*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(4199*d) + (8448*b^2*exp(14*c + 14*d*x)*(8*a + 11*b))/(2261*d) - (5632*b^2*exp(12*c + 12*d*x)*(96*a + 55*b))/(4199*d))/(13*exp(2*c + 2*d*x) - 78*exp(4*c + 4*d*x) + 286*exp(6*c + 6*d*x) - 715*exp(8*c + 8*d*x) + 1287*exp(10*c + 10*d*x) - 1716*exp(12*c + 12*d*x) + 1716*exp(14*c + 14*d*x) - 1287*exp(16*c + 16*d*x) + 715*exp(18*c + 18*d*x) - 286*exp(20*c + 20*d*x) + 78*exp(22*c + 22*d*x) - 13*exp(24*c + 24*d*x) + exp(26*c + 26*d*x) - 1) - ((2048*exp(14*c + 14*d*x)*(840*a*b^2 + 1152*a^2*b + 1024*a^3 + 231*b^3))/(323*d) + (128*b^3*exp(2*c + 2*d*x))/(969*d) - (1024*b^3*exp(4*c + 4*d*x))/(323*d) - (46592*b^3*exp(24*c + 24*d*x))/(969*d) + (4480*b^3*exp(26*c + 26*d*x))/(969*d) - (28672*b*exp(12*c + 12*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(969*d) - (15360*b*exp(16*c + 16*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(323*d) + (896*b*exp(10*c + 10*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(323*d) + (7040*b*exp(18*c + 18*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(969*d) + (2560*b^2*exp(6*c + 6*d*x)*(8*a + 11*b))/(969*d) + (6656*b^2*exp(22*c + 22*d*x)*(8*a + 11*b))/(323*d) - (2560*b^2*exp(8*c + 8*d*x)*(96*a + 55*b))/(969*d) - (11264*b^2*exp(20*c + 20*d*x)*(96*a + 55*b))/(969*d))/(17*exp(2*c + 2*d*x) - 136*exp(4*c + 4*d*x) + 680*exp(6*c + 6*d*x) - 2380*exp(8*c + 8*d*x) + 6188*exp(10*c + 10*d*x) - 12376*exp(12*c + 12*d*x) + 19448*exp(14*c + 14*d*x) - 24310*exp(16*c + 16*d*x) + 24310*exp(18*c + 18*d*x) - 19448*exp(20*c + 20*d*x) + 12376*exp(22*c + 22*d*x) - 6188*exp(24*c + 24*d*x) + 2380*exp(26*c + 26*d*x) - 680*exp(28*c + 28*d*x) + 136*exp(30*c + 30*d*x) - 17*exp(32*c + 32*d*x) + exp(34*c + 34*d*x) - 1) - ((8*b*(448*a*b + 256*a^2 + 165*b^2))/(12597*d) - (896*b^3*exp(6*c + 6*d*x))/(969*d) + (280*b^3*exp(8*c + 8*d*x))/(969*d) + (32*b^2*exp(4*c + 4*d*x)*(8*a + 11*b))/(323*d) - (128*b^2*exp(2*c + 2*d*x)*(96*a + 55*b))/(12597*d))/(28*exp(4*c + 4*d*x) - 8*exp(2*c + 2*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) + ((512*b*(112*a*b + 128*a^2 + 33*b^2))/(138567*d) - (256*exp(2*c + 2*d*x)*(840*a*b^2 + 1152*a^2*b + 1024*a^3 + 231*b^3))/(46189*d) + (1792*b^3*exp(12*c + 12*d*x))/(323*d) - (320*b^3*exp(14*c + 14*d*x))/(323*d) + (7680*b*exp(4*c + 4*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(46189*d) - (320*b*exp(6*c + 6*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(4199*d) - (384*b^2*exp(10*c + 10*d*x)*(8*a + 11*b))/(323*d) + (1280*b^2*exp(8*c + 8*d*x)*(96*a + 55*b))/(4199*d))/(11*exp(2*c + 2*d*x) - 55*exp(4*c + 4*d*x) + 165*exp(6*c + 6*d*x) - 330*exp(8*c + 8*d*x) + 462*exp(10*c + 10*d*x) - 462*exp(12*c + 12*d*x) + 330*exp(14*c + 14*d*x) - 165*exp(16*c + 16*d*x) + 55*exp(18*c + 18*d*x) - 11*exp(20*c + 20*d*x) + exp(22*c + 22*d*x) - 1) - ((8*b^3)/(969*d) + (896*exp(12*c + 12*d*x)*(840*a*b^2 + 1152*a^2*b + 1024*a^3 + 231*b^3))/(323*d) - (128*b^3*exp(2*c + 2*d*x))/(323*d) - (11648*b^3*exp(22*c + 22*d*x))/(323*d) + (3640*b^3*exp(24*c + 24*d*x))/(969*d) - (3584*b*exp(10*c + 10*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(323*d) - (7680*b*exp(14*c + 14*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(323*d) + (280*b*exp(8*c + 8*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(323*d) + (1320*b*exp(16*c + 16*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(323*d) + (160*b^2*exp(4*c + 4*d*x)*(8*a + 11*b))/(323*d) + (4576*b^2*exp(20*c + 20*d*x)*(8*a + 11*b))/(323*d) - (640*b^2*exp(6*c + 6*d*x)*(96*a + 55*b))/(969*d) - (7040*b^2*exp(18*c + 18*d*x)*(96*a + 55*b))/(969*d))/(120*exp(4*c + 4*d*x) - 16*exp(2*c + 2*d*x) - 560*exp(6*c + 6*d*x) + 1820*exp(8*c + 8*d*x) - 4368*exp(10*c + 10*d*x) + 8008*exp(12*c + 12*d*x) - 11440*exp(14*c + 14*d*x) + 12870*exp(16*c + 16*d*x) - 11440*exp(18*c + 18*d*x) + 8008*exp(20*c + 20*d*x) - 4368*exp(22*c + 22*d*x) + 1820*exp(24*c + 24*d*x) - 560*exp(26*c + 26*d*x) + 120*exp(28*c + 28*d*x) - 16*exp(30*c + 30*d*x) + exp(32*c + 32*d*x) + 1) - ((256*exp(16*c + 16*d*x)*(840*a*b^2 + 1152*a^2*b + 1024*a^3 + 231*b^3))/(19*d) + (64*b^3*exp(4*c + 4*d*x))/(57*d) - (1024*b^3*exp(6*c + 6*d*x))/(57*d) - (3584*b^3*exp(26*c + 26*d*x))/(57*d) + (320*b^3*exp(28*c + 28*d*x))/(57*d) - (4096*b*exp(14*c + 14*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(57*d) - (5120*b*exp(18*c + 18*d*x)*(112*a*b + 128*a^2 + 33*b^2))/(57*d) + (448*b*exp(12*c + 12*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(57*d) + (704*b*exp(20*c + 20*d*x)*(448*a*b + 256*a^2 + 165*b^2))/(57*d) + (640*b^2*exp(8*c + 8*d*x)*(8*a + 11*b))/(57*d) + (1664*b^2*exp(24*c + 24*d*x)*(8*a + 11*b))/(57*d) - (512*b^2*exp(10*c + 10*d*x)*(96*a + 55*b))/(57*d) - (1024*b^2*exp(22*c + 22*d*x)*(96*a + 55*b))/(57*d))/(153*exp(4*c + 4*d*x) - 18*exp(2*c + 2*d*x) - 816*exp(6*c + 6*d*x) + 3060*exp(8*c + 8*d*x) - 8568*exp(10*c + 10*d*x) + 18564*exp(12*c + 12*d*x) - 31824*exp(14*c + 14*d*x) + 43758*exp(16*c + 16*d*x) - 48620*exp(18*c + 18*d*x) + 43758*exp(20*c + 20*d*x) - 31824*exp(22*c + 22*d*x) + 18564*exp(24*c + 24*d*x) - 8568*exp(26*c + 26*d*x) + 3060*exp(28*c + 28*d*x) - 816*exp(30*c + 30*d*x) + 153*exp(32*c + 32*d*x) - 18*exp(34*c + 34*d*x) + exp(36*c + 36*d*x) + 1) - ((80*b^3*exp(4*c + 4*d*x))/(969*d) - (128*b^3*exp(2*c + 2*d*x))/(969*d) + (32*b^2*(8*a + 11*b))/(6783*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) - (8*b^3)/(969*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"
229,1,1124,148,9.796310,"\text{Not used}","int(sinh(c + d*x)^7/(a - b*sinh(c + d*x)^4),x)","\ln\left(\frac{\left(\frac{\left(\frac{4194304\,a^8\,d^2\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(3\,a+b\right)}{b^{11}\,{\left(a-b\right)}^2}-\frac{8388608\,a^7\,d^3\,{\mathrm{e}}^{c+d\,x}\,\left(a+b\right)\,\sqrt{-\frac{\sqrt{a^5\,b^7}+a^2\,b^4}{b^7\,d^2\,\left(a-b\right)}}}{b^{10}\,\left(a-b\right)}\right)\,\sqrt{-\frac{\sqrt{a^5\,b^7}+a^2\,b^4}{b^7\,d^2\,\left(a-b\right)}}}{4}+\frac{2097152\,a^9\,d\,{\mathrm{e}}^{c+d\,x}}{b^{13}\,\left(a-b\right)}\right)\,\sqrt{-\frac{\sqrt{a^5\,b^7}+a^2\,b^4}{b^7\,d^2\,\left(a-b\right)}}}{4}-\frac{262144\,a^{10}\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(a+b\right)}{b^{15}\,{\left(a-b\right)}^2}\right)\,\sqrt{\frac{\sqrt{a^5\,b^7}+a^2\,b^4}{16\,\left(b^8\,d^2-a\,b^7\,d^2\right)}}-\ln\left(\frac{\left(\frac{\left(\frac{4194304\,a^8\,d^2\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(3\,a+b\right)}{b^{11}\,{\left(a-b\right)}^2}+\frac{8388608\,a^7\,d^3\,{\mathrm{e}}^{c+d\,x}\,\left(a+b\right)\,\sqrt{-\frac{\sqrt{a^5\,b^7}+a^2\,b^4}{b^7\,d^2\,\left(a-b\right)}}}{b^{10}\,\left(a-b\right)}\right)\,\sqrt{-\frac{\sqrt{a^5\,b^7}+a^2\,b^4}{b^7\,d^2\,\left(a-b\right)}}}{4}-\frac{2097152\,a^9\,d\,{\mathrm{e}}^{c+d\,x}}{b^{13}\,\left(a-b\right)}\right)\,\sqrt{-\frac{\sqrt{a^5\,b^7}+a^2\,b^4}{b^7\,d^2\,\left(a-b\right)}}}{4}-\frac{262144\,a^{10}\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(a+b\right)}{b^{15}\,{\left(a-b\right)}^2}\right)\,\sqrt{\frac{\sqrt{a^5\,b^7}+a^2\,b^4}{16\,\left(b^8\,d^2-a\,b^7\,d^2\right)}}+\ln\left(\frac{\left(\frac{\left(\frac{4194304\,a^8\,d^2\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(3\,a+b\right)}{b^{11}\,{\left(a-b\right)}^2}-\frac{8388608\,a^7\,d^3\,{\mathrm{e}}^{c+d\,x}\,\left(a+b\right)\,\sqrt{\frac{\sqrt{a^5\,b^7}-a^2\,b^4}{b^7\,d^2\,\left(a-b\right)}}}{b^{10}\,\left(a-b\right)}\right)\,\sqrt{\frac{\sqrt{a^5\,b^7}-a^2\,b^4}{b^7\,d^2\,\left(a-b\right)}}}{4}+\frac{2097152\,a^9\,d\,{\mathrm{e}}^{c+d\,x}}{b^{13}\,\left(a-b\right)}\right)\,\sqrt{\frac{\sqrt{a^5\,b^7}-a^2\,b^4}{b^7\,d^2\,\left(a-b\right)}}}{4}-\frac{262144\,a^{10}\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(a+b\right)}{b^{15}\,{\left(a-b\right)}^2}\right)\,\sqrt{-\frac{\sqrt{a^5\,b^7}-a^2\,b^4}{16\,\left(b^8\,d^2-a\,b^7\,d^2\right)}}-\ln\left(\frac{\left(\frac{\left(\frac{4194304\,a^8\,d^2\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(3\,a+b\right)}{b^{11}\,{\left(a-b\right)}^2}+\frac{8388608\,a^7\,d^3\,{\mathrm{e}}^{c+d\,x}\,\left(a+b\right)\,\sqrt{\frac{\sqrt{a^5\,b^7}-a^2\,b^4}{b^7\,d^2\,\left(a-b\right)}}}{b^{10}\,\left(a-b\right)}\right)\,\sqrt{\frac{\sqrt{a^5\,b^7}-a^2\,b^4}{b^7\,d^2\,\left(a-b\right)}}}{4}-\frac{2097152\,a^9\,d\,{\mathrm{e}}^{c+d\,x}}{b^{13}\,\left(a-b\right)}\right)\,\sqrt{\frac{\sqrt{a^5\,b^7}-a^2\,b^4}{b^7\,d^2\,\left(a-b\right)}}}{4}-\frac{262144\,a^{10}\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(a+b\right)}{b^{15}\,{\left(a-b\right)}^2}\right)\,\sqrt{-\frac{\sqrt{a^5\,b^7}-a^2\,b^4}{16\,\left(b^8\,d^2-a\,b^7\,d^2\right)}}+\frac{3\,{\mathrm{e}}^{c+d\,x}}{8\,b\,d}+\frac{3\,{\mathrm{e}}^{-c-d\,x}}{8\,b\,d}-\frac{{\mathrm{e}}^{-3\,c-3\,d\,x}}{24\,b\,d}-\frac{{\mathrm{e}}^{3\,c+3\,d\,x}}{24\,b\,d}","Not used",1,"log((((((4194304*a^8*d^2*(exp(2*c + 2*d*x) + 1)*(3*a + b))/(b^11*(a - b)^2) - (8388608*a^7*d^3*exp(c + d*x)*(a + b)*(-((a^5*b^7)^(1/2) + a^2*b^4)/(b^7*d^2*(a - b)))^(1/2))/(b^10*(a - b)))*(-((a^5*b^7)^(1/2) + a^2*b^4)/(b^7*d^2*(a - b)))^(1/2))/4 + (2097152*a^9*d*exp(c + d*x))/(b^13*(a - b)))*(-((a^5*b^7)^(1/2) + a^2*b^4)/(b^7*d^2*(a - b)))^(1/2))/4 - (262144*a^10*(exp(2*c + 2*d*x) + 1)*(a + b))/(b^15*(a - b)^2))*(((a^5*b^7)^(1/2) + a^2*b^4)/(16*(b^8*d^2 - a*b^7*d^2)))^(1/2) - log((((((4194304*a^8*d^2*(exp(2*c + 2*d*x) + 1)*(3*a + b))/(b^11*(a - b)^2) + (8388608*a^7*d^3*exp(c + d*x)*(a + b)*(-((a^5*b^7)^(1/2) + a^2*b^4)/(b^7*d^2*(a - b)))^(1/2))/(b^10*(a - b)))*(-((a^5*b^7)^(1/2) + a^2*b^4)/(b^7*d^2*(a - b)))^(1/2))/4 - (2097152*a^9*d*exp(c + d*x))/(b^13*(a - b)))*(-((a^5*b^7)^(1/2) + a^2*b^4)/(b^7*d^2*(a - b)))^(1/2))/4 - (262144*a^10*(exp(2*c + 2*d*x) + 1)*(a + b))/(b^15*(a - b)^2))*(((a^5*b^7)^(1/2) + a^2*b^4)/(16*(b^8*d^2 - a*b^7*d^2)))^(1/2) + log((((((4194304*a^8*d^2*(exp(2*c + 2*d*x) + 1)*(3*a + b))/(b^11*(a - b)^2) - (8388608*a^7*d^3*exp(c + d*x)*(a + b)*(((a^5*b^7)^(1/2) - a^2*b^4)/(b^7*d^2*(a - b)))^(1/2))/(b^10*(a - b)))*(((a^5*b^7)^(1/2) - a^2*b^4)/(b^7*d^2*(a - b)))^(1/2))/4 + (2097152*a^9*d*exp(c + d*x))/(b^13*(a - b)))*(((a^5*b^7)^(1/2) - a^2*b^4)/(b^7*d^2*(a - b)))^(1/2))/4 - (262144*a^10*(exp(2*c + 2*d*x) + 1)*(a + b))/(b^15*(a - b)^2))*(-((a^5*b^7)^(1/2) - a^2*b^4)/(16*(b^8*d^2 - a*b^7*d^2)))^(1/2) - log((((((4194304*a^8*d^2*(exp(2*c + 2*d*x) + 1)*(3*a + b))/(b^11*(a - b)^2) + (8388608*a^7*d^3*exp(c + d*x)*(a + b)*(((a^5*b^7)^(1/2) - a^2*b^4)/(b^7*d^2*(a - b)))^(1/2))/(b^10*(a - b)))*(((a^5*b^7)^(1/2) - a^2*b^4)/(b^7*d^2*(a - b)))^(1/2))/4 - (2097152*a^9*d*exp(c + d*x))/(b^13*(a - b)))*(((a^5*b^7)^(1/2) - a^2*b^4)/(b^7*d^2*(a - b)))^(1/2))/4 - (262144*a^10*(exp(2*c + 2*d*x) + 1)*(a + b))/(b^15*(a - b)^2))*(-((a^5*b^7)^(1/2) - a^2*b^4)/(16*(b^8*d^2 - a*b^7*d^2)))^(1/2) + (3*exp(c + d*x))/(8*b*d) + (3*exp(- c - d*x))/(8*b*d) - exp(- 3*c - 3*d*x)/(24*b*d) - exp(3*c + 3*d*x)/(24*b*d)","B"
230,1,1046,139,7.852004,"\text{Not used}","int(sinh(c + d*x)^5/(a - b*sinh(c + d*x)^4),x)","\ln\left(\frac{\left(\frac{\left(\frac{4194304\,a^6\,d^2\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(3\,a+b\right)}{b^9\,{\left(a-b\right)}^2}+\frac{16777216\,a^6\,d^3\,{\mathrm{e}}^{c+d\,x}\,\sqrt{-\frac{\sqrt{a^3\,b^5}+a\,b^3}{b^5\,d^2\,\left(a-b\right)}}}{b^8\,\left(a-b\right)}\right)\,\sqrt{-\frac{\sqrt{a^3\,b^5}+a\,b^3}{b^5\,d^2\,\left(a-b\right)}}}{4}-\frac{2097152\,a^7\,d\,{\mathrm{e}}^{c+d\,x}}{b^{11}\,\left(a-b\right)}\right)\,\sqrt{-\frac{\sqrt{a^3\,b^5}+a\,b^3}{b^5\,d^2\,\left(a-b\right)}}}{4}-\frac{262144\,a^7\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(a+b\right)}{b^{12}\,{\left(a-b\right)}^2}\right)\,\sqrt{\frac{\sqrt{a^3\,b^5}+a\,b^3}{16\,\left(b^6\,d^2-a\,b^5\,d^2\right)}}-\ln\left(\frac{\left(\frac{\left(\frac{4194304\,a^6\,d^2\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(3\,a+b\right)}{b^9\,{\left(a-b\right)}^2}-\frac{16777216\,a^6\,d^3\,{\mathrm{e}}^{c+d\,x}\,\sqrt{-\frac{\sqrt{a^3\,b^5}+a\,b^3}{b^5\,d^2\,\left(a-b\right)}}}{b^8\,\left(a-b\right)}\right)\,\sqrt{-\frac{\sqrt{a^3\,b^5}+a\,b^3}{b^5\,d^2\,\left(a-b\right)}}}{4}+\frac{2097152\,a^7\,d\,{\mathrm{e}}^{c+d\,x}}{b^{11}\,\left(a-b\right)}\right)\,\sqrt{-\frac{\sqrt{a^3\,b^5}+a\,b^3}{b^5\,d^2\,\left(a-b\right)}}}{4}-\frac{262144\,a^7\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(a+b\right)}{b^{12}\,{\left(a-b\right)}^2}\right)\,\sqrt{\frac{\sqrt{a^3\,b^5}+a\,b^3}{16\,\left(b^6\,d^2-a\,b^5\,d^2\right)}}-\ln\left(\frac{\left(\frac{\left(\frac{4194304\,a^6\,d^2\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(3\,a+b\right)}{b^9\,{\left(a-b\right)}^2}-\frac{16777216\,a^6\,d^3\,{\mathrm{e}}^{c+d\,x}\,\sqrt{\frac{\sqrt{a^3\,b^5}-a\,b^3}{b^5\,d^2\,\left(a-b\right)}}}{b^8\,\left(a-b\right)}\right)\,\sqrt{\frac{\sqrt{a^3\,b^5}-a\,b^3}{b^5\,d^2\,\left(a-b\right)}}}{4}+\frac{2097152\,a^7\,d\,{\mathrm{e}}^{c+d\,x}}{b^{11}\,\left(a-b\right)}\right)\,\sqrt{\frac{\sqrt{a^3\,b^5}-a\,b^3}{b^5\,d^2\,\left(a-b\right)}}}{4}-\frac{262144\,a^7\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(a+b\right)}{b^{12}\,{\left(a-b\right)}^2}\right)\,\sqrt{-\frac{\sqrt{a^3\,b^5}-a\,b^3}{16\,\left(b^6\,d^2-a\,b^5\,d^2\right)}}+\ln\left(\frac{\left(\frac{\left(\frac{4194304\,a^6\,d^2\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(3\,a+b\right)}{b^9\,{\left(a-b\right)}^2}+\frac{16777216\,a^6\,d^3\,{\mathrm{e}}^{c+d\,x}\,\sqrt{\frac{\sqrt{a^3\,b^5}-a\,b^3}{b^5\,d^2\,\left(a-b\right)}}}{b^8\,\left(a-b\right)}\right)\,\sqrt{\frac{\sqrt{a^3\,b^5}-a\,b^3}{b^5\,d^2\,\left(a-b\right)}}}{4}-\frac{2097152\,a^7\,d\,{\mathrm{e}}^{c+d\,x}}{b^{11}\,\left(a-b\right)}\right)\,\sqrt{\frac{\sqrt{a^3\,b^5}-a\,b^3}{b^5\,d^2\,\left(a-b\right)}}}{4}-\frac{262144\,a^7\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(a+b\right)}{b^{12}\,{\left(a-b\right)}^2}\right)\,\sqrt{-\frac{\sqrt{a^3\,b^5}-a\,b^3}{16\,\left(b^6\,d^2-a\,b^5\,d^2\right)}}-\frac{{\mathrm{e}}^{c+d\,x}}{2\,b\,d}-\frac{{\mathrm{e}}^{-c-d\,x}}{2\,b\,d}","Not used",1,"log((((((4194304*a^6*d^2*(exp(2*c + 2*d*x) + 1)*(3*a + b))/(b^9*(a - b)^2) + (16777216*a^6*d^3*exp(c + d*x)*(-((a^3*b^5)^(1/2) + a*b^3)/(b^5*d^2*(a - b)))^(1/2))/(b^8*(a - b)))*(-((a^3*b^5)^(1/2) + a*b^3)/(b^5*d^2*(a - b)))^(1/2))/4 - (2097152*a^7*d*exp(c + d*x))/(b^11*(a - b)))*(-((a^3*b^5)^(1/2) + a*b^3)/(b^5*d^2*(a - b)))^(1/2))/4 - (262144*a^7*(exp(2*c + 2*d*x) + 1)*(a + b))/(b^12*(a - b)^2))*(((a^3*b^5)^(1/2) + a*b^3)/(16*(b^6*d^2 - a*b^5*d^2)))^(1/2) - log((((((4194304*a^6*d^2*(exp(2*c + 2*d*x) + 1)*(3*a + b))/(b^9*(a - b)^2) - (16777216*a^6*d^3*exp(c + d*x)*(-((a^3*b^5)^(1/2) + a*b^3)/(b^5*d^2*(a - b)))^(1/2))/(b^8*(a - b)))*(-((a^3*b^5)^(1/2) + a*b^3)/(b^5*d^2*(a - b)))^(1/2))/4 + (2097152*a^7*d*exp(c + d*x))/(b^11*(a - b)))*(-((a^3*b^5)^(1/2) + a*b^3)/(b^5*d^2*(a - b)))^(1/2))/4 - (262144*a^7*(exp(2*c + 2*d*x) + 1)*(a + b))/(b^12*(a - b)^2))*(((a^3*b^5)^(1/2) + a*b^3)/(16*(b^6*d^2 - a*b^5*d^2)))^(1/2) - log((((((4194304*a^6*d^2*(exp(2*c + 2*d*x) + 1)*(3*a + b))/(b^9*(a - b)^2) - (16777216*a^6*d^3*exp(c + d*x)*(((a^3*b^5)^(1/2) - a*b^3)/(b^5*d^2*(a - b)))^(1/2))/(b^8*(a - b)))*(((a^3*b^5)^(1/2) - a*b^3)/(b^5*d^2*(a - b)))^(1/2))/4 + (2097152*a^7*d*exp(c + d*x))/(b^11*(a - b)))*(((a^3*b^5)^(1/2) - a*b^3)/(b^5*d^2*(a - b)))^(1/2))/4 - (262144*a^7*(exp(2*c + 2*d*x) + 1)*(a + b))/(b^12*(a - b)^2))*(-((a^3*b^5)^(1/2) - a*b^3)/(16*(b^6*d^2 - a*b^5*d^2)))^(1/2) + log((((((4194304*a^6*d^2*(exp(2*c + 2*d*x) + 1)*(3*a + b))/(b^9*(a - b)^2) + (16777216*a^6*d^3*exp(c + d*x)*(((a^3*b^5)^(1/2) - a*b^3)/(b^5*d^2*(a - b)))^(1/2))/(b^8*(a - b)))*(((a^3*b^5)^(1/2) - a*b^3)/(b^5*d^2*(a - b)))^(1/2))/4 - (2097152*a^7*d*exp(c + d*x))/(b^11*(a - b)))*(((a^3*b^5)^(1/2) - a*b^3)/(b^5*d^2*(a - b)))^(1/2))/4 - (262144*a^7*(exp(2*c + 2*d*x) + 1)*(a + b))/(b^12*(a - b)^2))*(-((a^3*b^5)^(1/2) - a*b^3)/(16*(b^6*d^2 - a*b^5*d^2)))^(1/2) - exp(c + d*x)/(2*b*d) - exp(- c - d*x)/(2*b*d)","B"
231,1,975,115,6.158017,"\text{Not used}","int(sinh(c + d*x)^3/(a - b*sinh(c + d*x)^4),x)","\ln\left(\frac{\left(\frac{\left(\frac{4194304\,a^4\,d^2\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(3\,a+b\right)}{b^7\,{\left(a-b\right)}^2}-\frac{8388608\,a^4\,d^3\,{\mathrm{e}}^{c+d\,x}\,\left(a+b\right)\,\sqrt{-\frac{b^2-\sqrt{a\,b^3}}{b^3\,d^2\,\left(a-b\right)}}}{b^7\,\left(a-b\right)}\right)\,\sqrt{-\frac{b^2-\sqrt{a\,b^3}}{b^3\,d^2\,\left(a-b\right)}}}{4}+\frac{2097152\,a^4\,d\,{\mathrm{e}}^{c+d\,x}}{b^8\,\left(a-b\right)}\right)\,\sqrt{-\frac{b^2-\sqrt{a\,b^3}}{b^3\,d^2\,\left(a-b\right)}}}{4}-\frac{262144\,a^4\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(a+b\right)}{b^9\,{\left(a-b\right)}^2}\right)\,\sqrt{\frac{b^2-\sqrt{a\,b^3}}{16\,\left(b^4\,d^2-a\,b^3\,d^2\right)}}-\ln\left(\frac{\left(\frac{\left(\frac{4194304\,a^4\,d^2\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(3\,a+b\right)}{b^7\,{\left(a-b\right)}^2}+\frac{8388608\,a^4\,d^3\,{\mathrm{e}}^{c+d\,x}\,\left(a+b\right)\,\sqrt{-\frac{b^2-\sqrt{a\,b^3}}{b^3\,d^2\,\left(a-b\right)}}}{b^7\,\left(a-b\right)}\right)\,\sqrt{-\frac{b^2-\sqrt{a\,b^3}}{b^3\,d^2\,\left(a-b\right)}}}{4}-\frac{2097152\,a^4\,d\,{\mathrm{e}}^{c+d\,x}}{b^8\,\left(a-b\right)}\right)\,\sqrt{-\frac{b^2-\sqrt{a\,b^3}}{b^3\,d^2\,\left(a-b\right)}}}{4}-\frac{262144\,a^4\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(a+b\right)}{b^9\,{\left(a-b\right)}^2}\right)\,\sqrt{\frac{b^2-\sqrt{a\,b^3}}{16\,\left(b^4\,d^2-a\,b^3\,d^2\right)}}+\ln\left(\frac{\left(\frac{\left(\frac{4194304\,a^4\,d^2\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(3\,a+b\right)}{b^7\,{\left(a-b\right)}^2}-\frac{8388608\,a^4\,d^3\,{\mathrm{e}}^{c+d\,x}\,\left(a+b\right)\,\sqrt{-\frac{b^2+\sqrt{a\,b^3}}{b^3\,d^2\,\left(a-b\right)}}}{b^7\,\left(a-b\right)}\right)\,\sqrt{-\frac{b^2+\sqrt{a\,b^3}}{b^3\,d^2\,\left(a-b\right)}}}{4}+\frac{2097152\,a^4\,d\,{\mathrm{e}}^{c+d\,x}}{b^8\,\left(a-b\right)}\right)\,\sqrt{-\frac{b^2+\sqrt{a\,b^3}}{b^3\,d^2\,\left(a-b\right)}}}{4}-\frac{262144\,a^4\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(a+b\right)}{b^9\,{\left(a-b\right)}^2}\right)\,\sqrt{\frac{b^2+\sqrt{a\,b^3}}{16\,\left(b^4\,d^2-a\,b^3\,d^2\right)}}-\ln\left(\frac{\left(\frac{\left(\frac{4194304\,a^4\,d^2\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(3\,a+b\right)}{b^7\,{\left(a-b\right)}^2}+\frac{8388608\,a^4\,d^3\,{\mathrm{e}}^{c+d\,x}\,\left(a+b\right)\,\sqrt{-\frac{b^2+\sqrt{a\,b^3}}{b^3\,d^2\,\left(a-b\right)}}}{b^7\,\left(a-b\right)}\right)\,\sqrt{-\frac{b^2+\sqrt{a\,b^3}}{b^3\,d^2\,\left(a-b\right)}}}{4}-\frac{2097152\,a^4\,d\,{\mathrm{e}}^{c+d\,x}}{b^8\,\left(a-b\right)}\right)\,\sqrt{-\frac{b^2+\sqrt{a\,b^3}}{b^3\,d^2\,\left(a-b\right)}}}{4}-\frac{262144\,a^4\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(a+b\right)}{b^9\,{\left(a-b\right)}^2}\right)\,\sqrt{\frac{b^2+\sqrt{a\,b^3}}{16\,\left(b^4\,d^2-a\,b^3\,d^2\right)}}","Not used",1,"log((((((4194304*a^4*d^2*(exp(2*c + 2*d*x) + 1)*(3*a + b))/(b^7*(a - b)^2) - (8388608*a^4*d^3*exp(c + d*x)*(a + b)*(-(b^2 - (a*b^3)^(1/2))/(b^3*d^2*(a - b)))^(1/2))/(b^7*(a - b)))*(-(b^2 - (a*b^3)^(1/2))/(b^3*d^2*(a - b)))^(1/2))/4 + (2097152*a^4*d*exp(c + d*x))/(b^8*(a - b)))*(-(b^2 - (a*b^3)^(1/2))/(b^3*d^2*(a - b)))^(1/2))/4 - (262144*a^4*(exp(2*c + 2*d*x) + 1)*(a + b))/(b^9*(a - b)^2))*((b^2 - (a*b^3)^(1/2))/(16*(b^4*d^2 - a*b^3*d^2)))^(1/2) - log((((((4194304*a^4*d^2*(exp(2*c + 2*d*x) + 1)*(3*a + b))/(b^7*(a - b)^2) + (8388608*a^4*d^3*exp(c + d*x)*(a + b)*(-(b^2 - (a*b^3)^(1/2))/(b^3*d^2*(a - b)))^(1/2))/(b^7*(a - b)))*(-(b^2 - (a*b^3)^(1/2))/(b^3*d^2*(a - b)))^(1/2))/4 - (2097152*a^4*d*exp(c + d*x))/(b^8*(a - b)))*(-(b^2 - (a*b^3)^(1/2))/(b^3*d^2*(a - b)))^(1/2))/4 - (262144*a^4*(exp(2*c + 2*d*x) + 1)*(a + b))/(b^9*(a - b)^2))*((b^2 - (a*b^3)^(1/2))/(16*(b^4*d^2 - a*b^3*d^2)))^(1/2) + log((((((4194304*a^4*d^2*(exp(2*c + 2*d*x) + 1)*(3*a + b))/(b^7*(a - b)^2) - (8388608*a^4*d^3*exp(c + d*x)*(a + b)*(-(b^2 + (a*b^3)^(1/2))/(b^3*d^2*(a - b)))^(1/2))/(b^7*(a - b)))*(-(b^2 + (a*b^3)^(1/2))/(b^3*d^2*(a - b)))^(1/2))/4 + (2097152*a^4*d*exp(c + d*x))/(b^8*(a - b)))*(-(b^2 + (a*b^3)^(1/2))/(b^3*d^2*(a - b)))^(1/2))/4 - (262144*a^4*(exp(2*c + 2*d*x) + 1)*(a + b))/(b^9*(a - b)^2))*((b^2 + (a*b^3)^(1/2))/(16*(b^4*d^2 - a*b^3*d^2)))^(1/2) - log((((((4194304*a^4*d^2*(exp(2*c + 2*d*x) + 1)*(3*a + b))/(b^7*(a - b)^2) + (8388608*a^4*d^3*exp(c + d*x)*(a + b)*(-(b^2 + (a*b^3)^(1/2))/(b^3*d^2*(a - b)))^(1/2))/(b^7*(a - b)))*(-(b^2 + (a*b^3)^(1/2))/(b^3*d^2*(a - b)))^(1/2))/4 - (2097152*a^4*d*exp(c + d*x))/(b^8*(a - b)))*(-(b^2 + (a*b^3)^(1/2))/(b^3*d^2*(a - b)))^(1/2))/4 - (262144*a^4*(exp(2*c + 2*d*x) + 1)*(a + b))/(b^9*(a - b)^2))*((b^2 + (a*b^3)^(1/2))/(16*(b^4*d^2 - a*b^3*d^2)))^(1/2)","B"
232,1,1007,125,8.151329,"\text{Not used}","int(sinh(c + d*x)/(a - b*sinh(c + d*x)^4),x)","\ln\left(\frac{\left(\frac{\left(\frac{4194304\,a^2\,d^2\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(3\,a+b\right)}{b^5\,{\left(a-b\right)}^2}+\frac{16777216\,a^3\,d^3\,{\mathrm{e}}^{c+d\,x}\,\sqrt{-\frac{a\,b-\sqrt{a^3\,b}}{a^2\,b\,d^2\,\left(a-b\right)}}}{b^5\,\left(a-b\right)}\right)\,\sqrt{-\frac{a\,b-\sqrt{a^3\,b}}{a^2\,b\,d^2\,\left(a-b\right)}}}{4}-\frac{2097152\,a^2\,d\,{\mathrm{e}}^{c+d\,x}}{b^6\,\left(a-b\right)}\right)\,\sqrt{-\frac{a\,b-\sqrt{a^3\,b}}{a^2\,b\,d^2\,\left(a-b\right)}}}{4}-\frac{262144\,a\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(a+b\right)}{b^6\,{\left(a-b\right)}^2}\right)\,\sqrt{-\frac{a\,b-\sqrt{a^3\,b}}{16\,\left(a^3\,b\,d^2-a^2\,b^2\,d^2\right)}}-\ln\left(\frac{\left(\frac{\left(\frac{4194304\,a^2\,d^2\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(3\,a+b\right)}{b^5\,{\left(a-b\right)}^2}-\frac{16777216\,a^3\,d^3\,{\mathrm{e}}^{c+d\,x}\,\sqrt{-\frac{a\,b-\sqrt{a^3\,b}}{a^2\,b\,d^2\,\left(a-b\right)}}}{b^5\,\left(a-b\right)}\right)\,\sqrt{-\frac{a\,b-\sqrt{a^3\,b}}{a^2\,b\,d^2\,\left(a-b\right)}}}{4}+\frac{2097152\,a^2\,d\,{\mathrm{e}}^{c+d\,x}}{b^6\,\left(a-b\right)}\right)\,\sqrt{-\frac{a\,b-\sqrt{a^3\,b}}{a^2\,b\,d^2\,\left(a-b\right)}}}{4}-\frac{262144\,a\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(a+b\right)}{b^6\,{\left(a-b\right)}^2}\right)\,\sqrt{-\frac{a\,b-\sqrt{a^3\,b}}{16\,\left(a^3\,b\,d^2-a^2\,b^2\,d^2\right)}}-\ln\left(\frac{\left(\frac{\left(\frac{4194304\,a^2\,d^2\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(3\,a+b\right)}{b^5\,{\left(a-b\right)}^2}-\frac{16777216\,a^3\,d^3\,{\mathrm{e}}^{c+d\,x}\,\sqrt{-\frac{a\,b+\sqrt{a^3\,b}}{a^2\,b\,d^2\,\left(a-b\right)}}}{b^5\,\left(a-b\right)}\right)\,\sqrt{-\frac{a\,b+\sqrt{a^3\,b}}{a^2\,b\,d^2\,\left(a-b\right)}}}{4}+\frac{2097152\,a^2\,d\,{\mathrm{e}}^{c+d\,x}}{b^6\,\left(a-b\right)}\right)\,\sqrt{-\frac{a\,b+\sqrt{a^3\,b}}{a^2\,b\,d^2\,\left(a-b\right)}}}{4}-\frac{262144\,a\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(a+b\right)}{b^6\,{\left(a-b\right)}^2}\right)\,\sqrt{-\frac{a\,b+\sqrt{a^3\,b}}{16\,\left(a^3\,b\,d^2-a^2\,b^2\,d^2\right)}}+\ln\left(\frac{\left(\frac{\left(\frac{4194304\,a^2\,d^2\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(3\,a+b\right)}{b^5\,{\left(a-b\right)}^2}+\frac{16777216\,a^3\,d^3\,{\mathrm{e}}^{c+d\,x}\,\sqrt{-\frac{a\,b+\sqrt{a^3\,b}}{a^2\,b\,d^2\,\left(a-b\right)}}}{b^5\,\left(a-b\right)}\right)\,\sqrt{-\frac{a\,b+\sqrt{a^3\,b}}{a^2\,b\,d^2\,\left(a-b\right)}}}{4}-\frac{2097152\,a^2\,d\,{\mathrm{e}}^{c+d\,x}}{b^6\,\left(a-b\right)}\right)\,\sqrt{-\frac{a\,b+\sqrt{a^3\,b}}{a^2\,b\,d^2\,\left(a-b\right)}}}{4}-\frac{262144\,a\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(a+b\right)}{b^6\,{\left(a-b\right)}^2}\right)\,\sqrt{-\frac{a\,b+\sqrt{a^3\,b}}{16\,\left(a^3\,b\,d^2-a^2\,b^2\,d^2\right)}}","Not used",1,"log((((((4194304*a^2*d^2*(exp(2*c + 2*d*x) + 1)*(3*a + b))/(b^5*(a - b)^2) + (16777216*a^3*d^3*exp(c + d*x)*(-(a*b - (a^3*b)^(1/2))/(a^2*b*d^2*(a - b)))^(1/2))/(b^5*(a - b)))*(-(a*b - (a^3*b)^(1/2))/(a^2*b*d^2*(a - b)))^(1/2))/4 - (2097152*a^2*d*exp(c + d*x))/(b^6*(a - b)))*(-(a*b - (a^3*b)^(1/2))/(a^2*b*d^2*(a - b)))^(1/2))/4 - (262144*a*(exp(2*c + 2*d*x) + 1)*(a + b))/(b^6*(a - b)^2))*(-(a*b - (a^3*b)^(1/2))/(16*(a^3*b*d^2 - a^2*b^2*d^2)))^(1/2) - log((((((4194304*a^2*d^2*(exp(2*c + 2*d*x) + 1)*(3*a + b))/(b^5*(a - b)^2) - (16777216*a^3*d^3*exp(c + d*x)*(-(a*b - (a^3*b)^(1/2))/(a^2*b*d^2*(a - b)))^(1/2))/(b^5*(a - b)))*(-(a*b - (a^3*b)^(1/2))/(a^2*b*d^2*(a - b)))^(1/2))/4 + (2097152*a^2*d*exp(c + d*x))/(b^6*(a - b)))*(-(a*b - (a^3*b)^(1/2))/(a^2*b*d^2*(a - b)))^(1/2))/4 - (262144*a*(exp(2*c + 2*d*x) + 1)*(a + b))/(b^6*(a - b)^2))*(-(a*b - (a^3*b)^(1/2))/(16*(a^3*b*d^2 - a^2*b^2*d^2)))^(1/2) - log((((((4194304*a^2*d^2*(exp(2*c + 2*d*x) + 1)*(3*a + b))/(b^5*(a - b)^2) - (16777216*a^3*d^3*exp(c + d*x)*(-(a*b + (a^3*b)^(1/2))/(a^2*b*d^2*(a - b)))^(1/2))/(b^5*(a - b)))*(-(a*b + (a^3*b)^(1/2))/(a^2*b*d^2*(a - b)))^(1/2))/4 + (2097152*a^2*d*exp(c + d*x))/(b^6*(a - b)))*(-(a*b + (a^3*b)^(1/2))/(a^2*b*d^2*(a - b)))^(1/2))/4 - (262144*a*(exp(2*c + 2*d*x) + 1)*(a + b))/(b^6*(a - b)^2))*(-(a*b + (a^3*b)^(1/2))/(16*(a^3*b*d^2 - a^2*b^2*d^2)))^(1/2) + log((((((4194304*a^2*d^2*(exp(2*c + 2*d*x) + 1)*(3*a + b))/(b^5*(a - b)^2) + (16777216*a^3*d^3*exp(c + d*x)*(-(a*b + (a^3*b)^(1/2))/(a^2*b*d^2*(a - b)))^(1/2))/(b^5*(a - b)))*(-(a*b + (a^3*b)^(1/2))/(a^2*b*d^2*(a - b)))^(1/2))/4 - (2097152*a^2*d*exp(c + d*x))/(b^6*(a - b)))*(-(a*b + (a^3*b)^(1/2))/(a^2*b*d^2*(a - b)))^(1/2))/4 - (262144*a*(exp(2*c + 2*d*x) + 1)*(a + b))/(b^6*(a - b)^2))*(-(a*b + (a^3*b)^(1/2))/(16*(a^3*b*d^2 - a^2*b^2*d^2)))^(1/2)","B"
233,1,1243,136,9.192785,"\text{Not used}","int(1/(sinh(c + d*x)*(a - b*sinh(c + d*x)^4)),x)","\ln\left(\frac{\left(\frac{\left(\frac{4294967296\,a\,d^2\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(-49\,a^2+26\,a\,b+15\,b^2\right)}{b^6\,{\left(a-b\right)}^3}+\frac{8589934592\,a^2\,d^3\,{\mathrm{e}}^{c+d\,x}\,\left(16\,a^2+3\,a\,b-15\,b^2\right)\,\sqrt{-\frac{a^2\,b+\sqrt{a^5\,b}}{a^4\,d^2\,\left(a-b\right)}}}{b^7\,{\left(a-b\right)}^2}\right)\,\sqrt{-\frac{a^2\,b+\sqrt{a^5\,b}}{a^4\,d^2\,\left(a-b\right)}}}{4}-\frac{2147483648\,d\,{\mathrm{e}}^{c+d\,x}\,\left(17\,a-15\,b\right)}{b^6\,{\left(a-b\right)}^2}\right)\,\sqrt{-\frac{a^2\,b+\sqrt{a^5\,b}}{a^4\,d^2\,\left(a-b\right)}}}{4}+\frac{268435456\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(16\,a^2+3\,a\,b-15\,b^2\right)}{a\,b^6\,{\left(a-b\right)}^3}\right)\,\sqrt{-\frac{a^2\,b+\sqrt{a^5\,b}}{16\,\left(a^5\,d^2-a^4\,b\,d^2\right)}}-\ln\left(\frac{\left(\frac{\left(\frac{4294967296\,a\,d^2\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(-49\,a^2+26\,a\,b+15\,b^2\right)}{b^6\,{\left(a-b\right)}^3}-\frac{8589934592\,a^2\,d^3\,{\mathrm{e}}^{c+d\,x}\,\left(16\,a^2+3\,a\,b-15\,b^2\right)\,\sqrt{-\frac{a^2\,b+\sqrt{a^5\,b}}{a^4\,d^2\,\left(a-b\right)}}}{b^7\,{\left(a-b\right)}^2}\right)\,\sqrt{-\frac{a^2\,b+\sqrt{a^5\,b}}{a^4\,d^2\,\left(a-b\right)}}}{4}+\frac{2147483648\,d\,{\mathrm{e}}^{c+d\,x}\,\left(17\,a-15\,b\right)}{b^6\,{\left(a-b\right)}^2}\right)\,\sqrt{-\frac{a^2\,b+\sqrt{a^5\,b}}{a^4\,d^2\,\left(a-b\right)}}}{4}+\frac{268435456\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(16\,a^2+3\,a\,b-15\,b^2\right)}{a\,b^6\,{\left(a-b\right)}^3}\right)\,\sqrt{-\frac{a^2\,b+\sqrt{a^5\,b}}{16\,\left(a^5\,d^2-a^4\,b\,d^2\right)}}-\frac{2\,\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(65536\,a^2\,\sqrt{-a^2\,d^2}+50625\,b^2\,\sqrt{-a^2\,d^2}-115200\,a\,b\,\sqrt{-a^2\,d^2}\right)}{65536\,d\,a^3-115200\,d\,a^2\,b+50625\,d\,a\,b^2}\right)}{\sqrt{-a^2\,d^2}}-\ln\left(\frac{\left(\frac{\left(\frac{4294967296\,a\,d^2\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(-49\,a^2+26\,a\,b+15\,b^2\right)}{b^6\,{\left(a-b\right)}^3}-\frac{8589934592\,a^2\,d^3\,{\mathrm{e}}^{c+d\,x}\,\left(16\,a^2+3\,a\,b-15\,b^2\right)\,\sqrt{-\frac{a^2\,b-\sqrt{a^5\,b}}{a^4\,d^2\,\left(a-b\right)}}}{b^7\,{\left(a-b\right)}^2}\right)\,\sqrt{-\frac{a^2\,b-\sqrt{a^5\,b}}{a^4\,d^2\,\left(a-b\right)}}}{4}+\frac{2147483648\,d\,{\mathrm{e}}^{c+d\,x}\,\left(17\,a-15\,b\right)}{b^6\,{\left(a-b\right)}^2}\right)\,\sqrt{-\frac{a^2\,b-\sqrt{a^5\,b}}{a^4\,d^2\,\left(a-b\right)}}}{4}+\frac{268435456\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(16\,a^2+3\,a\,b-15\,b^2\right)}{a\,b^6\,{\left(a-b\right)}^3}\right)\,\sqrt{-\frac{a^2\,b-\sqrt{a^5\,b}}{16\,\left(a^5\,d^2-a^4\,b\,d^2\right)}}+\ln\left(\frac{\left(\frac{\left(\frac{4294967296\,a\,d^2\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(-49\,a^2+26\,a\,b+15\,b^2\right)}{b^6\,{\left(a-b\right)}^3}+\frac{8589934592\,a^2\,d^3\,{\mathrm{e}}^{c+d\,x}\,\left(16\,a^2+3\,a\,b-15\,b^2\right)\,\sqrt{-\frac{a^2\,b-\sqrt{a^5\,b}}{a^4\,d^2\,\left(a-b\right)}}}{b^7\,{\left(a-b\right)}^2}\right)\,\sqrt{-\frac{a^2\,b-\sqrt{a^5\,b}}{a^4\,d^2\,\left(a-b\right)}}}{4}-\frac{2147483648\,d\,{\mathrm{e}}^{c+d\,x}\,\left(17\,a-15\,b\right)}{b^6\,{\left(a-b\right)}^2}\right)\,\sqrt{-\frac{a^2\,b-\sqrt{a^5\,b}}{a^4\,d^2\,\left(a-b\right)}}}{4}+\frac{268435456\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(16\,a^2+3\,a\,b-15\,b^2\right)}{a\,b^6\,{\left(a-b\right)}^3}\right)\,\sqrt{-\frac{a^2\,b-\sqrt{a^5\,b}}{16\,\left(a^5\,d^2-a^4\,b\,d^2\right)}}","Not used",1,"log((((((4294967296*a*d^2*(exp(2*c + 2*d*x) + 1)*(26*a*b - 49*a^2 + 15*b^2))/(b^6*(a - b)^3) + (8589934592*a^2*d^3*exp(c + d*x)*(3*a*b + 16*a^2 - 15*b^2)*(-(a^2*b + (a^5*b)^(1/2))/(a^4*d^2*(a - b)))^(1/2))/(b^7*(a - b)^2))*(-(a^2*b + (a^5*b)^(1/2))/(a^4*d^2*(a - b)))^(1/2))/4 - (2147483648*d*exp(c + d*x)*(17*a - 15*b))/(b^6*(a - b)^2))*(-(a^2*b + (a^5*b)^(1/2))/(a^4*d^2*(a - b)))^(1/2))/4 + (268435456*(exp(2*c + 2*d*x) + 1)*(3*a*b + 16*a^2 - 15*b^2))/(a*b^6*(a - b)^3))*(-(a^2*b + (a^5*b)^(1/2))/(16*(a^5*d^2 - a^4*b*d^2)))^(1/2) - log((((((4294967296*a*d^2*(exp(2*c + 2*d*x) + 1)*(26*a*b - 49*a^2 + 15*b^2))/(b^6*(a - b)^3) - (8589934592*a^2*d^3*exp(c + d*x)*(3*a*b + 16*a^2 - 15*b^2)*(-(a^2*b + (a^5*b)^(1/2))/(a^4*d^2*(a - b)))^(1/2))/(b^7*(a - b)^2))*(-(a^2*b + (a^5*b)^(1/2))/(a^4*d^2*(a - b)))^(1/2))/4 + (2147483648*d*exp(c + d*x)*(17*a - 15*b))/(b^6*(a - b)^2))*(-(a^2*b + (a^5*b)^(1/2))/(a^4*d^2*(a - b)))^(1/2))/4 + (268435456*(exp(2*c + 2*d*x) + 1)*(3*a*b + 16*a^2 - 15*b^2))/(a*b^6*(a - b)^3))*(-(a^2*b + (a^5*b)^(1/2))/(16*(a^5*d^2 - a^4*b*d^2)))^(1/2) - (2*atan((exp(d*x)*exp(c)*(65536*a^2*(-a^2*d^2)^(1/2) + 50625*b^2*(-a^2*d^2)^(1/2) - 115200*a*b*(-a^2*d^2)^(1/2)))/(65536*a^3*d + 50625*a*b^2*d - 115200*a^2*b*d)))/(-a^2*d^2)^(1/2) - log((((((4294967296*a*d^2*(exp(2*c + 2*d*x) + 1)*(26*a*b - 49*a^2 + 15*b^2))/(b^6*(a - b)^3) - (8589934592*a^2*d^3*exp(c + d*x)*(3*a*b + 16*a^2 - 15*b^2)*(-(a^2*b - (a^5*b)^(1/2))/(a^4*d^2*(a - b)))^(1/2))/(b^7*(a - b)^2))*(-(a^2*b - (a^5*b)^(1/2))/(a^4*d^2*(a - b)))^(1/2))/4 + (2147483648*d*exp(c + d*x)*(17*a - 15*b))/(b^6*(a - b)^2))*(-(a^2*b - (a^5*b)^(1/2))/(a^4*d^2*(a - b)))^(1/2))/4 + (268435456*(exp(2*c + 2*d*x) + 1)*(3*a*b + 16*a^2 - 15*b^2))/(a*b^6*(a - b)^3))*(-(a^2*b - (a^5*b)^(1/2))/(16*(a^5*d^2 - a^4*b*d^2)))^(1/2) + log((((((4294967296*a*d^2*(exp(2*c + 2*d*x) + 1)*(26*a*b - 49*a^2 + 15*b^2))/(b^6*(a - b)^3) + (8589934592*a^2*d^3*exp(c + d*x)*(3*a*b + 16*a^2 - 15*b^2)*(-(a^2*b - (a^5*b)^(1/2))/(a^4*d^2*(a - b)))^(1/2))/(b^7*(a - b)^2))*(-(a^2*b - (a^5*b)^(1/2))/(a^4*d^2*(a - b)))^(1/2))/4 - (2147483648*d*exp(c + d*x)*(17*a - 15*b))/(b^6*(a - b)^2))*(-(a^2*b - (a^5*b)^(1/2))/(a^4*d^2*(a - b)))^(1/2))/4 + (268435456*(exp(2*c + 2*d*x) + 1)*(3*a*b + 16*a^2 - 15*b^2))/(a*b^6*(a - b)^3))*(-(a^2*b - (a^5*b)^(1/2))/(16*(a^5*d^2 - a^4*b*d^2)))^(1/2)","B"
234,1,1517,184,12.211313,"\text{Not used}","int(1/(sinh(c + d*x)^3*(a - b*sinh(c + d*x)^4)),x)","\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(256\,a^6\,\sqrt{-a^2\,d^2}+b^6\,\sqrt{-a^2\,d^2}+96\,a^2\,b^4\,\sqrt{-a^2\,d^2}-288\,a^3\,b^3\,\sqrt{-a^2\,d^2}+512\,a^4\,b^2\,\sqrt{-a^2\,d^2}-16\,a\,b^5\,\sqrt{-a^2\,d^2}-512\,a^5\,b\,\sqrt{-a^2\,d^2}\right)}{256\,d\,a^7-512\,d\,a^6\,b+512\,d\,a^5\,b^2-288\,d\,a^4\,b^3+96\,d\,a^3\,b^4-16\,d\,a^2\,b^5+d\,a\,b^6}\right)}{\sqrt{-a^2\,d^2}}-\ln\left(\frac{\left(\frac{\left(\frac{8589934592\,d^3\,{\mathrm{e}}^{c+d\,x}\,\left(8\,a^2-7\,a\,b+3\,b^2\right)\,\sqrt{-\frac{\sqrt{a^7\,b^3}+a^3\,b^2}{a^6\,d^2\,\left(a-b\right)}}}{b^5\,{\left(a-b\right)}^2}-\frac{4294967296\,d^2\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(12\,a^3-7\,a^2\,b+2\,a\,b^2+b^3\right)}{a^2\,b^4\,{\left(a-b\right)}^3}\right)\,\sqrt{-\frac{\sqrt{a^7\,b^3}+a^3\,b^2}{a^6\,d^2\,\left(a-b\right)}}}{4}-\frac{4294967296\,d\,{\mathrm{e}}^{c+d\,x}\,\left(2\,a^2-2\,a\,b+b^2\right)}{a^3\,b^4\,{\left(a-b\right)}^2}\right)\,\sqrt{-\frac{\sqrt{a^7\,b^3}+a^3\,b^2}{a^6\,d^2\,\left(a-b\right)}}}{4}+\frac{268435456\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(4\,a^3-a\,b^2+b^3\right)}{a^5\,b^3\,{\left(a-b\right)}^3}\right)\,\sqrt{-\frac{\sqrt{a^7\,b^3}+a^3\,b^2}{16\,\left(a^7\,d^2-a^6\,b\,d^2\right)}}+\ln\left(\frac{268435456\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(4\,a^3-a\,b^2+b^3\right)}{a^5\,b^3\,{\left(a-b\right)}^3}-\frac{\left(\frac{\left(\frac{8589934592\,d^3\,{\mathrm{e}}^{c+d\,x}\,\left(8\,a^2-7\,a\,b+3\,b^2\right)\,\sqrt{-\frac{\sqrt{a^7\,b^3}+a^3\,b^2}{a^6\,d^2\,\left(a-b\right)}}}{b^5\,{\left(a-b\right)}^2}+\frac{4294967296\,d^2\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(12\,a^3-7\,a^2\,b+2\,a\,b^2+b^3\right)}{a^2\,b^4\,{\left(a-b\right)}^3}\right)\,\sqrt{-\frac{\sqrt{a^7\,b^3}+a^3\,b^2}{a^6\,d^2\,\left(a-b\right)}}}{4}-\frac{4294967296\,d\,{\mathrm{e}}^{c+d\,x}\,\left(2\,a^2-2\,a\,b+b^2\right)}{a^3\,b^4\,{\left(a-b\right)}^2}\right)\,\sqrt{-\frac{\sqrt{a^7\,b^3}+a^3\,b^2}{a^6\,d^2\,\left(a-b\right)}}}{4}\right)\,\sqrt{-\frac{\sqrt{a^7\,b^3}+a^3\,b^2}{16\,\left(a^7\,d^2-a^6\,b\,d^2\right)}}-\ln\left(\frac{\left(\frac{\left(\frac{8589934592\,d^3\,{\mathrm{e}}^{c+d\,x}\,\left(8\,a^2-7\,a\,b+3\,b^2\right)\,\sqrt{\frac{\sqrt{a^7\,b^3}-a^3\,b^2}{a^6\,d^2\,\left(a-b\right)}}}{b^5\,{\left(a-b\right)}^2}-\frac{4294967296\,d^2\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(12\,a^3-7\,a^2\,b+2\,a\,b^2+b^3\right)}{a^2\,b^4\,{\left(a-b\right)}^3}\right)\,\sqrt{\frac{\sqrt{a^7\,b^3}-a^3\,b^2}{a^6\,d^2\,\left(a-b\right)}}}{4}-\frac{4294967296\,d\,{\mathrm{e}}^{c+d\,x}\,\left(2\,a^2-2\,a\,b+b^2\right)}{a^3\,b^4\,{\left(a-b\right)}^2}\right)\,\sqrt{\frac{\sqrt{a^7\,b^3}-a^3\,b^2}{a^6\,d^2\,\left(a-b\right)}}}{4}+\frac{268435456\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(4\,a^3-a\,b^2+b^3\right)}{a^5\,b^3\,{\left(a-b\right)}^3}\right)\,\sqrt{\frac{\sqrt{a^7\,b^3}-a^3\,b^2}{16\,\left(a^7\,d^2-a^6\,b\,d^2\right)}}+\ln\left(\frac{268435456\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(4\,a^3-a\,b^2+b^3\right)}{a^5\,b^3\,{\left(a-b\right)}^3}-\frac{\left(\frac{\left(\frac{8589934592\,d^3\,{\mathrm{e}}^{c+d\,x}\,\left(8\,a^2-7\,a\,b+3\,b^2\right)\,\sqrt{\frac{\sqrt{a^7\,b^3}-a^3\,b^2}{a^6\,d^2\,\left(a-b\right)}}}{b^5\,{\left(a-b\right)}^2}+\frac{4294967296\,d^2\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(12\,a^3-7\,a^2\,b+2\,a\,b^2+b^3\right)}{a^2\,b^4\,{\left(a-b\right)}^3}\right)\,\sqrt{\frac{\sqrt{a^7\,b^3}-a^3\,b^2}{a^6\,d^2\,\left(a-b\right)}}}{4}-\frac{4294967296\,d\,{\mathrm{e}}^{c+d\,x}\,\left(2\,a^2-2\,a\,b+b^2\right)}{a^3\,b^4\,{\left(a-b\right)}^2}\right)\,\sqrt{\frac{\sqrt{a^7\,b^3}-a^3\,b^2}{a^6\,d^2\,\left(a-b\right)}}}{4}\right)\,\sqrt{\frac{\sqrt{a^7\,b^3}-a^3\,b^2}{16\,\left(a^7\,d^2-a^6\,b\,d^2\right)}}-\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)*(256*a^6*(-a^2*d^2)^(1/2) + b^6*(-a^2*d^2)^(1/2) + 96*a^2*b^4*(-a^2*d^2)^(1/2) - 288*a^3*b^3*(-a^2*d^2)^(1/2) + 512*a^4*b^2*(-a^2*d^2)^(1/2) - 16*a*b^5*(-a^2*d^2)^(1/2) - 512*a^5*b*(-a^2*d^2)^(1/2)))/(256*a^7*d - 16*a^2*b^5*d + 96*a^3*b^4*d - 288*a^4*b^3*d + 512*a^5*b^2*d + a*b^6*d - 512*a^6*b*d))/(-a^2*d^2)^(1/2) - log((((((8589934592*d^3*exp(c + d*x)*(8*a^2 - 7*a*b + 3*b^2)*(-((a^7*b^3)^(1/2) + a^3*b^2)/(a^6*d^2*(a - b)))^(1/2))/(b^5*(a - b)^2) - (4294967296*d^2*(exp(2*c + 2*d*x) + 1)*(2*a*b^2 - 7*a^2*b + 12*a^3 + b^3))/(a^2*b^4*(a - b)^3))*(-((a^7*b^3)^(1/2) + a^3*b^2)/(a^6*d^2*(a - b)))^(1/2))/4 - (4294967296*d*exp(c + d*x)*(2*a^2 - 2*a*b + b^2))/(a^3*b^4*(a - b)^2))*(-((a^7*b^3)^(1/2) + a^3*b^2)/(a^6*d^2*(a - b)))^(1/2))/4 + (268435456*(exp(2*c + 2*d*x) + 1)*(4*a^3 - a*b^2 + b^3))/(a^5*b^3*(a - b)^3))*(-((a^7*b^3)^(1/2) + a^3*b^2)/(16*(a^7*d^2 - a^6*b*d^2)))^(1/2) + log((268435456*(exp(2*c + 2*d*x) + 1)*(4*a^3 - a*b^2 + b^3))/(a^5*b^3*(a - b)^3) - (((((8589934592*d^3*exp(c + d*x)*(8*a^2 - 7*a*b + 3*b^2)*(-((a^7*b^3)^(1/2) + a^3*b^2)/(a^6*d^2*(a - b)))^(1/2))/(b^5*(a - b)^2) + (4294967296*d^2*(exp(2*c + 2*d*x) + 1)*(2*a*b^2 - 7*a^2*b + 12*a^3 + b^3))/(a^2*b^4*(a - b)^3))*(-((a^7*b^3)^(1/2) + a^3*b^2)/(a^6*d^2*(a - b)))^(1/2))/4 - (4294967296*d*exp(c + d*x)*(2*a^2 - 2*a*b + b^2))/(a^3*b^4*(a - b)^2))*(-((a^7*b^3)^(1/2) + a^3*b^2)/(a^6*d^2*(a - b)))^(1/2))/4)*(-((a^7*b^3)^(1/2) + a^3*b^2)/(16*(a^7*d^2 - a^6*b*d^2)))^(1/2) - log((((((8589934592*d^3*exp(c + d*x)*(8*a^2 - 7*a*b + 3*b^2)*(((a^7*b^3)^(1/2) - a^3*b^2)/(a^6*d^2*(a - b)))^(1/2))/(b^5*(a - b)^2) - (4294967296*d^2*(exp(2*c + 2*d*x) + 1)*(2*a*b^2 - 7*a^2*b + 12*a^3 + b^3))/(a^2*b^4*(a - b)^3))*(((a^7*b^3)^(1/2) - a^3*b^2)/(a^6*d^2*(a - b)))^(1/2))/4 - (4294967296*d*exp(c + d*x)*(2*a^2 - 2*a*b + b^2))/(a^3*b^4*(a - b)^2))*(((a^7*b^3)^(1/2) - a^3*b^2)/(a^6*d^2*(a - b)))^(1/2))/4 + (268435456*(exp(2*c + 2*d*x) + 1)*(4*a^3 - a*b^2 + b^3))/(a^5*b^3*(a - b)^3))*(((a^7*b^3)^(1/2) - a^3*b^2)/(16*(a^7*d^2 - a^6*b*d^2)))^(1/2) + log((268435456*(exp(2*c + 2*d*x) + 1)*(4*a^3 - a*b^2 + b^3))/(a^5*b^3*(a - b)^3) - (((((8589934592*d^3*exp(c + d*x)*(8*a^2 - 7*a*b + 3*b^2)*(((a^7*b^3)^(1/2) - a^3*b^2)/(a^6*d^2*(a - b)))^(1/2))/(b^5*(a - b)^2) + (4294967296*d^2*(exp(2*c + 2*d*x) + 1)*(2*a*b^2 - 7*a^2*b + 12*a^3 + b^3))/(a^2*b^4*(a - b)^3))*(((a^7*b^3)^(1/2) - a^3*b^2)/(a^6*d^2*(a - b)))^(1/2))/4 - (4294967296*d*exp(c + d*x)*(2*a^2 - 2*a*b + b^2))/(a^3*b^4*(a - b)^2))*(((a^7*b^3)^(1/2) - a^3*b^2)/(a^6*d^2*(a - b)))^(1/2))/4)*(((a^7*b^3)^(1/2) - a^3*b^2)/(16*(a^7*d^2 - a^6*b*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"
235,1,2191,175,11.239290,"\text{Not used}","int(sinh(c + d*x)^6/(a - b*sinh(c + d*x)^4),x)","\ln\left(\frac{\left(\frac{\left(\frac{4194304\,a^6\,d^2\,\left(512\,a^4-1184\,a^3\,b-253\,a\,b^3-b^4+930\,a^2\,b^2+b^4\,{\mathrm{e}}^{2\,c+2\,d\,x}+627\,a\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+768\,a^3\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}-1392\,a^2\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^{12}\,{\left(a-b\right)}^2}-\frac{16777216\,a^6\,d^3\,\sqrt{\frac{\sqrt{a^3\,b^7}+a^2\,b^3}{b^6\,d^2\,\left(a-b\right)}}\,\left(40\,a\,b^2-35\,b^3+512\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+64\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+326\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-896\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^{11}\,\left(a-b\right)}\right)\,\sqrt{\frac{\sqrt{a^3\,b^7}+a^2\,b^3}{b^6\,d^2\,\left(a-b\right)}}}{4}-\frac{2097152\,a^7\,d\,\left(256\,a^2\,b-256\,a\,b^2-5\,b^3-1024\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+756\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+256\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^{14}\,\left(a-b\right)}\right)\,\sqrt{\frac{\sqrt{a^3\,b^7}+a^2\,b^3}{b^6\,d^2\,\left(a-b\right)}}}{4}-\frac{524288\,a^8\,\left(185\,a\,b^2-464\,a^2\,b+256\,a^3+24\,b^3-1024\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-35\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-988\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+2048\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^{15}\,{\left(a-b\right)}^2}\right)\,\sqrt{-\frac{\sqrt{a^3\,b^7}+a^2\,b^3}{16\,\left(b^7\,d^2-a\,b^6\,d^2\right)}}-\ln\left(\frac{\left(\frac{\left(\frac{4194304\,a^6\,d^2\,\left(512\,a^4-1184\,a^3\,b-253\,a\,b^3-b^4+930\,a^2\,b^2+b^4\,{\mathrm{e}}^{2\,c+2\,d\,x}+627\,a\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+768\,a^3\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}-1392\,a^2\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^{12}\,{\left(a-b\right)}^2}+\frac{16777216\,a^6\,d^3\,\sqrt{\frac{\sqrt{a^3\,b^7}+a^2\,b^3}{b^6\,d^2\,\left(a-b\right)}}\,\left(40\,a\,b^2-35\,b^3+512\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+64\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+326\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-896\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^{11}\,\left(a-b\right)}\right)\,\sqrt{\frac{\sqrt{a^3\,b^7}+a^2\,b^3}{b^6\,d^2\,\left(a-b\right)}}}{4}+\frac{2097152\,a^7\,d\,\left(256\,a^2\,b-256\,a\,b^2-5\,b^3-1024\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+756\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+256\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^{14}\,\left(a-b\right)}\right)\,\sqrt{\frac{\sqrt{a^3\,b^7}+a^2\,b^3}{b^6\,d^2\,\left(a-b\right)}}}{4}-\frac{524288\,a^8\,\left(185\,a\,b^2-464\,a^2\,b+256\,a^3+24\,b^3-1024\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-35\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-988\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+2048\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^{15}\,{\left(a-b\right)}^2}\right)\,\sqrt{-\frac{\sqrt{a^3\,b^7}+a^2\,b^3}{16\,\left(b^7\,d^2-a\,b^6\,d^2\right)}}+\ln\left(\frac{\left(\frac{\left(\frac{4194304\,a^6\,d^2\,\left(512\,a^4-1184\,a^3\,b-253\,a\,b^3-b^4+930\,a^2\,b^2+b^4\,{\mathrm{e}}^{2\,c+2\,d\,x}+627\,a\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+768\,a^3\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}-1392\,a^2\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^{12}\,{\left(a-b\right)}^2}-\frac{16777216\,a^6\,d^3\,\sqrt{-\frac{\sqrt{a^3\,b^7}-a^2\,b^3}{b^6\,d^2\,\left(a-b\right)}}\,\left(40\,a\,b^2-35\,b^3+512\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+64\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+326\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-896\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^{11}\,\left(a-b\right)}\right)\,\sqrt{-\frac{\sqrt{a^3\,b^7}-a^2\,b^3}{b^6\,d^2\,\left(a-b\right)}}}{4}-\frac{2097152\,a^7\,d\,\left(256\,a^2\,b-256\,a\,b^2-5\,b^3-1024\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+756\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+256\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^{14}\,\left(a-b\right)}\right)\,\sqrt{-\frac{\sqrt{a^3\,b^7}-a^2\,b^3}{b^6\,d^2\,\left(a-b\right)}}}{4}-\frac{524288\,a^8\,\left(185\,a\,b^2-464\,a^2\,b+256\,a^3+24\,b^3-1024\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-35\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-988\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+2048\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^{15}\,{\left(a-b\right)}^2}\right)\,\sqrt{\frac{\sqrt{a^3\,b^7}-a^2\,b^3}{16\,\left(b^7\,d^2-a\,b^6\,d^2\right)}}-\ln\left(\frac{\left(\frac{\left(\frac{4194304\,a^6\,d^2\,\left(512\,a^4-1184\,a^3\,b-253\,a\,b^3-b^4+930\,a^2\,b^2+b^4\,{\mathrm{e}}^{2\,c+2\,d\,x}+627\,a\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+768\,a^3\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}-1392\,a^2\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^{12}\,{\left(a-b\right)}^2}+\frac{16777216\,a^6\,d^3\,\sqrt{-\frac{\sqrt{a^3\,b^7}-a^2\,b^3}{b^6\,d^2\,\left(a-b\right)}}\,\left(40\,a\,b^2-35\,b^3+512\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+64\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+326\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-896\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^{11}\,\left(a-b\right)}\right)\,\sqrt{-\frac{\sqrt{a^3\,b^7}-a^2\,b^3}{b^6\,d^2\,\left(a-b\right)}}}{4}+\frac{2097152\,a^7\,d\,\left(256\,a^2\,b-256\,a\,b^2-5\,b^3-1024\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+756\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+256\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^{14}\,\left(a-b\right)}\right)\,\sqrt{-\frac{\sqrt{a^3\,b^7}-a^2\,b^3}{b^6\,d^2\,\left(a-b\right)}}}{4}-\frac{524288\,a^8\,\left(185\,a\,b^2-464\,a^2\,b+256\,a^3+24\,b^3-1024\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-35\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-988\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+2048\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^{15}\,{\left(a-b\right)}^2}\right)\,\sqrt{\frac{\sqrt{a^3\,b^7}-a^2\,b^3}{16\,\left(b^7\,d^2-a\,b^6\,d^2\right)}}+\frac{x}{2\,b}+\frac{{\mathrm{e}}^{-2\,c-2\,d\,x}}{8\,b\,d}-\frac{{\mathrm{e}}^{2\,c+2\,d\,x}}{8\,b\,d}","Not used",1,"log((((((4194304*a^6*d^2*(512*a^4 - 1184*a^3*b - 253*a*b^3 - b^4 + 930*a^2*b^2 + b^4*exp(2*c + 2*d*x) + 627*a*b^3*exp(2*c + 2*d*x) + 768*a^3*b*exp(2*c + 2*d*x) - 1392*a^2*b^2*exp(2*c + 2*d*x)))/(b^12*(a - b)^2) - (16777216*a^6*d^3*(((a^3*b^7)^(1/2) + a^2*b^3)/(b^6*d^2*(a - b)))^(1/2)*(40*a*b^2 - 35*b^3 + 512*a^3*exp(2*c + 2*d*x) + 64*b^3*exp(2*c + 2*d*x) + 326*a*b^2*exp(2*c + 2*d*x) - 896*a^2*b*exp(2*c + 2*d*x)))/(b^11*(a - b)))*(((a^3*b^7)^(1/2) + a^2*b^3)/(b^6*d^2*(a - b)))^(1/2))/4 - (2097152*a^7*d*(256*a^2*b - 256*a*b^2 - 5*b^3 - 1024*a^3*exp(2*c + 2*d*x) + 6*b^3*exp(2*c + 2*d*x) + 756*a*b^2*exp(2*c + 2*d*x) + 256*a^2*b*exp(2*c + 2*d*x)))/(b^14*(a - b)))*(((a^3*b^7)^(1/2) + a^2*b^3)/(b^6*d^2*(a - b)))^(1/2))/4 - (524288*a^8*(185*a*b^2 - 464*a^2*b + 256*a^3 + 24*b^3 - 1024*a^3*exp(2*c + 2*d*x) - 35*b^3*exp(2*c + 2*d*x) - 988*a*b^2*exp(2*c + 2*d*x) + 2048*a^2*b*exp(2*c + 2*d*x)))/(b^15*(a - b)^2))*(-((a^3*b^7)^(1/2) + a^2*b^3)/(16*(b^7*d^2 - a*b^6*d^2)))^(1/2) - log((((((4194304*a^6*d^2*(512*a^4 - 1184*a^3*b - 253*a*b^3 - b^4 + 930*a^2*b^2 + b^4*exp(2*c + 2*d*x) + 627*a*b^3*exp(2*c + 2*d*x) + 768*a^3*b*exp(2*c + 2*d*x) - 1392*a^2*b^2*exp(2*c + 2*d*x)))/(b^12*(a - b)^2) + (16777216*a^6*d^3*(((a^3*b^7)^(1/2) + a^2*b^3)/(b^6*d^2*(a - b)))^(1/2)*(40*a*b^2 - 35*b^3 + 512*a^3*exp(2*c + 2*d*x) + 64*b^3*exp(2*c + 2*d*x) + 326*a*b^2*exp(2*c + 2*d*x) - 896*a^2*b*exp(2*c + 2*d*x)))/(b^11*(a - b)))*(((a^3*b^7)^(1/2) + a^2*b^3)/(b^6*d^2*(a - b)))^(1/2))/4 + (2097152*a^7*d*(256*a^2*b - 256*a*b^2 - 5*b^3 - 1024*a^3*exp(2*c + 2*d*x) + 6*b^3*exp(2*c + 2*d*x) + 756*a*b^2*exp(2*c + 2*d*x) + 256*a^2*b*exp(2*c + 2*d*x)))/(b^14*(a - b)))*(((a^3*b^7)^(1/2) + a^2*b^3)/(b^6*d^2*(a - b)))^(1/2))/4 - (524288*a^8*(185*a*b^2 - 464*a^2*b + 256*a^3 + 24*b^3 - 1024*a^3*exp(2*c + 2*d*x) - 35*b^3*exp(2*c + 2*d*x) - 988*a*b^2*exp(2*c + 2*d*x) + 2048*a^2*b*exp(2*c + 2*d*x)))/(b^15*(a - b)^2))*(-((a^3*b^7)^(1/2) + a^2*b^3)/(16*(b^7*d^2 - a*b^6*d^2)))^(1/2) + log((((((4194304*a^6*d^2*(512*a^4 - 1184*a^3*b - 253*a*b^3 - b^4 + 930*a^2*b^2 + b^4*exp(2*c + 2*d*x) + 627*a*b^3*exp(2*c + 2*d*x) + 768*a^3*b*exp(2*c + 2*d*x) - 1392*a^2*b^2*exp(2*c + 2*d*x)))/(b^12*(a - b)^2) - (16777216*a^6*d^3*(-((a^3*b^7)^(1/2) - a^2*b^3)/(b^6*d^2*(a - b)))^(1/2)*(40*a*b^2 - 35*b^3 + 512*a^3*exp(2*c + 2*d*x) + 64*b^3*exp(2*c + 2*d*x) + 326*a*b^2*exp(2*c + 2*d*x) - 896*a^2*b*exp(2*c + 2*d*x)))/(b^11*(a - b)))*(-((a^3*b^7)^(1/2) - a^2*b^3)/(b^6*d^2*(a - b)))^(1/2))/4 - (2097152*a^7*d*(256*a^2*b - 256*a*b^2 - 5*b^3 - 1024*a^3*exp(2*c + 2*d*x) + 6*b^3*exp(2*c + 2*d*x) + 756*a*b^2*exp(2*c + 2*d*x) + 256*a^2*b*exp(2*c + 2*d*x)))/(b^14*(a - b)))*(-((a^3*b^7)^(1/2) - a^2*b^3)/(b^6*d^2*(a - b)))^(1/2))/4 - (524288*a^8*(185*a*b^2 - 464*a^2*b + 256*a^3 + 24*b^3 - 1024*a^3*exp(2*c + 2*d*x) - 35*b^3*exp(2*c + 2*d*x) - 988*a*b^2*exp(2*c + 2*d*x) + 2048*a^2*b*exp(2*c + 2*d*x)))/(b^15*(a - b)^2))*(((a^3*b^7)^(1/2) - a^2*b^3)/(16*(b^7*d^2 - a*b^6*d^2)))^(1/2) - log((((((4194304*a^6*d^2*(512*a^4 - 1184*a^3*b - 253*a*b^3 - b^4 + 930*a^2*b^2 + b^4*exp(2*c + 2*d*x) + 627*a*b^3*exp(2*c + 2*d*x) + 768*a^3*b*exp(2*c + 2*d*x) - 1392*a^2*b^2*exp(2*c + 2*d*x)))/(b^12*(a - b)^2) + (16777216*a^6*d^3*(-((a^3*b^7)^(1/2) - a^2*b^3)/(b^6*d^2*(a - b)))^(1/2)*(40*a*b^2 - 35*b^3 + 512*a^3*exp(2*c + 2*d*x) + 64*b^3*exp(2*c + 2*d*x) + 326*a*b^2*exp(2*c + 2*d*x) - 896*a^2*b*exp(2*c + 2*d*x)))/(b^11*(a - b)))*(-((a^3*b^7)^(1/2) - a^2*b^3)/(b^6*d^2*(a - b)))^(1/2))/4 + (2097152*a^7*d*(256*a^2*b - 256*a*b^2 - 5*b^3 - 1024*a^3*exp(2*c + 2*d*x) + 6*b^3*exp(2*c + 2*d*x) + 756*a*b^2*exp(2*c + 2*d*x) + 256*a^2*b*exp(2*c + 2*d*x)))/(b^14*(a - b)))*(-((a^3*b^7)^(1/2) - a^2*b^3)/(b^6*d^2*(a - b)))^(1/2))/4 - (524288*a^8*(185*a*b^2 - 464*a^2*b + 256*a^3 + 24*b^3 - 1024*a^3*exp(2*c + 2*d*x) - 35*b^3*exp(2*c + 2*d*x) - 988*a*b^2*exp(2*c + 2*d*x) + 2048*a^2*b*exp(2*c + 2*d*x)))/(b^15*(a - b)^2))*(((a^3*b^7)^(1/2) - a^2*b^3)/(16*(b^7*d^2 - a*b^6*d^2)))^(1/2) + x/(2*b) + exp(- 2*c - 2*d*x)/(8*b*d) - exp(2*c + 2*d*x)/(8*b*d)","B"
236,1,1861,127,11.048352,"\text{Not used}","int(sinh(c + d*x)^4/(a - b*sinh(c + d*x)^4),x)","\ln\left(\frac{\left(\frac{\left(\frac{524288\,a^3\,d^2\,\left(31\,a\,b^2-128\,a^2\,b+128\,a^3-b^3+256\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+21\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-240\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^8\,\left(a-b\right)}+\frac{1048576\,a^3\,d^3\,\sqrt{\frac{a\,b^2-\sqrt{a\,b^5}}{b^4\,d^2\,\left(a-b\right)}}\,\left(45\,a\,b^2-104\,a^2\,b+64\,a^3-3\,b^3+4\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-50\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+48\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^7\,\left(a-b\right)}\right)\,\sqrt{\frac{a\,b^2-\sqrt{a\,b^5}}{b^4\,d^2\,\left(a-b\right)}}}{4}+\frac{262144\,a^4\,d\,\left(72\,a\,b-64\,a^2-9\,b^2+256\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+31\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-288\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^9\,\left(a-b\right)}\right)\,\sqrt{\frac{a\,b^2-\sqrt{a\,b^5}}{b^4\,d^2\,\left(a-b\right)}}}{4}+\frac{32768\,a^4\,\left(128\,a\,b-128\,a^2-15\,b^2+256\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+29\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-304\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^{10}\,\left(a-b\right)}\right)\,\sqrt{-\frac{a\,b^2-\sqrt{a\,b^5}}{16\,\left(b^5\,d^2-a\,b^4\,d^2\right)}}-\ln\left(\frac{\left(\frac{\left(\frac{524288\,a^3\,d^2\,\left(31\,a\,b^2-128\,a^2\,b+128\,a^3-b^3+256\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+21\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-240\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^8\,\left(a-b\right)}-\frac{1048576\,a^3\,d^3\,\sqrt{\frac{a\,b^2-\sqrt{a\,b^5}}{b^4\,d^2\,\left(a-b\right)}}\,\left(45\,a\,b^2-104\,a^2\,b+64\,a^3-3\,b^3+4\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-50\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+48\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^7\,\left(a-b\right)}\right)\,\sqrt{\frac{a\,b^2-\sqrt{a\,b^5}}{b^4\,d^2\,\left(a-b\right)}}}{4}-\frac{262144\,a^4\,d\,\left(72\,a\,b-64\,a^2-9\,b^2+256\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+31\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-288\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^9\,\left(a-b\right)}\right)\,\sqrt{\frac{a\,b^2-\sqrt{a\,b^5}}{b^4\,d^2\,\left(a-b\right)}}}{4}+\frac{32768\,a^4\,\left(128\,a\,b-128\,a^2-15\,b^2+256\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+29\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-304\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^{10}\,\left(a-b\right)}\right)\,\sqrt{-\frac{a\,b^2-\sqrt{a\,b^5}}{16\,\left(b^5\,d^2-a\,b^4\,d^2\right)}}-\frac{x}{b}-\ln\left(\frac{\left(\frac{\left(\frac{524288\,a^3\,d^2\,\left(31\,a\,b^2-128\,a^2\,b+128\,a^3-b^3+256\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+21\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-240\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^8\,\left(a-b\right)}-\frac{1048576\,a^3\,d^3\,\sqrt{\frac{a\,b^2+\sqrt{a\,b^5}}{b^4\,d^2\,\left(a-b\right)}}\,\left(45\,a\,b^2-104\,a^2\,b+64\,a^3-3\,b^3+4\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-50\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+48\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^7\,\left(a-b\right)}\right)\,\sqrt{\frac{a\,b^2+\sqrt{a\,b^5}}{b^4\,d^2\,\left(a-b\right)}}}{4}-\frac{262144\,a^4\,d\,\left(72\,a\,b-64\,a^2-9\,b^2+256\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+31\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-288\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^9\,\left(a-b\right)}\right)\,\sqrt{\frac{a\,b^2+\sqrt{a\,b^5}}{b^4\,d^2\,\left(a-b\right)}}}{4}+\frac{32768\,a^4\,\left(128\,a\,b-128\,a^2-15\,b^2+256\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+29\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-304\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^{10}\,\left(a-b\right)}\right)\,\sqrt{-\frac{a\,b^2+\sqrt{a\,b^5}}{16\,\left(b^5\,d^2-a\,b^4\,d^2\right)}}+\ln\left(\frac{\left(\frac{\left(\frac{524288\,a^3\,d^2\,\left(31\,a\,b^2-128\,a^2\,b+128\,a^3-b^3+256\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+21\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-240\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^8\,\left(a-b\right)}+\frac{1048576\,a^3\,d^3\,\sqrt{\frac{a\,b^2+\sqrt{a\,b^5}}{b^4\,d^2\,\left(a-b\right)}}\,\left(45\,a\,b^2-104\,a^2\,b+64\,a^3-3\,b^3+4\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-50\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+48\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^7\,\left(a-b\right)}\right)\,\sqrt{\frac{a\,b^2+\sqrt{a\,b^5}}{b^4\,d^2\,\left(a-b\right)}}}{4}+\frac{262144\,a^4\,d\,\left(72\,a\,b-64\,a^2-9\,b^2+256\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+31\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-288\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^9\,\left(a-b\right)}\right)\,\sqrt{\frac{a\,b^2+\sqrt{a\,b^5}}{b^4\,d^2\,\left(a-b\right)}}}{4}+\frac{32768\,a^4\,\left(128\,a\,b-128\,a^2-15\,b^2+256\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+29\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-304\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^{10}\,\left(a-b\right)}\right)\,\sqrt{-\frac{a\,b^2+\sqrt{a\,b^5}}{16\,\left(b^5\,d^2-a\,b^4\,d^2\right)}}","Not used",1,"log((((((524288*a^3*d^2*(31*a*b^2 - 128*a^2*b + 128*a^3 - b^3 + 256*a^3*exp(2*c + 2*d*x) + b^3*exp(2*c + 2*d*x) + 21*a*b^2*exp(2*c + 2*d*x) - 240*a^2*b*exp(2*c + 2*d*x)))/(b^8*(a - b)) + (1048576*a^3*d^3*((a*b^2 - (a*b^5)^(1/2))/(b^4*d^2*(a - b)))^(1/2)*(45*a*b^2 - 104*a^2*b + 64*a^3 - 3*b^3 + 4*b^3*exp(2*c + 2*d*x) - 50*a*b^2*exp(2*c + 2*d*x) + 48*a^2*b*exp(2*c + 2*d*x)))/(b^7*(a - b)))*((a*b^2 - (a*b^5)^(1/2))/(b^4*d^2*(a - b)))^(1/2))/4 + (262144*a^4*d*(72*a*b - 64*a^2 - 9*b^2 + 256*a^2*exp(2*c + 2*d*x) + 31*b^2*exp(2*c + 2*d*x) - 288*a*b*exp(2*c + 2*d*x)))/(b^9*(a - b)))*((a*b^2 - (a*b^5)^(1/2))/(b^4*d^2*(a - b)))^(1/2))/4 + (32768*a^4*(128*a*b - 128*a^2 - 15*b^2 + 256*a^2*exp(2*c + 2*d*x) + 29*b^2*exp(2*c + 2*d*x) - 304*a*b*exp(2*c + 2*d*x)))/(b^10*(a - b)))*(-(a*b^2 - (a*b^5)^(1/2))/(16*(b^5*d^2 - a*b^4*d^2)))^(1/2) - log((((((524288*a^3*d^2*(31*a*b^2 - 128*a^2*b + 128*a^3 - b^3 + 256*a^3*exp(2*c + 2*d*x) + b^3*exp(2*c + 2*d*x) + 21*a*b^2*exp(2*c + 2*d*x) - 240*a^2*b*exp(2*c + 2*d*x)))/(b^8*(a - b)) - (1048576*a^3*d^3*((a*b^2 - (a*b^5)^(1/2))/(b^4*d^2*(a - b)))^(1/2)*(45*a*b^2 - 104*a^2*b + 64*a^3 - 3*b^3 + 4*b^3*exp(2*c + 2*d*x) - 50*a*b^2*exp(2*c + 2*d*x) + 48*a^2*b*exp(2*c + 2*d*x)))/(b^7*(a - b)))*((a*b^2 - (a*b^5)^(1/2))/(b^4*d^2*(a - b)))^(1/2))/4 - (262144*a^4*d*(72*a*b - 64*a^2 - 9*b^2 + 256*a^2*exp(2*c + 2*d*x) + 31*b^2*exp(2*c + 2*d*x) - 288*a*b*exp(2*c + 2*d*x)))/(b^9*(a - b)))*((a*b^2 - (a*b^5)^(1/2))/(b^4*d^2*(a - b)))^(1/2))/4 + (32768*a^4*(128*a*b - 128*a^2 - 15*b^2 + 256*a^2*exp(2*c + 2*d*x) + 29*b^2*exp(2*c + 2*d*x) - 304*a*b*exp(2*c + 2*d*x)))/(b^10*(a - b)))*(-(a*b^2 - (a*b^5)^(1/2))/(16*(b^5*d^2 - a*b^4*d^2)))^(1/2) - x/b - log((((((524288*a^3*d^2*(31*a*b^2 - 128*a^2*b + 128*a^3 - b^3 + 256*a^3*exp(2*c + 2*d*x) + b^3*exp(2*c + 2*d*x) + 21*a*b^2*exp(2*c + 2*d*x) - 240*a^2*b*exp(2*c + 2*d*x)))/(b^8*(a - b)) - (1048576*a^3*d^3*((a*b^2 + (a*b^5)^(1/2))/(b^4*d^2*(a - b)))^(1/2)*(45*a*b^2 - 104*a^2*b + 64*a^3 - 3*b^3 + 4*b^3*exp(2*c + 2*d*x) - 50*a*b^2*exp(2*c + 2*d*x) + 48*a^2*b*exp(2*c + 2*d*x)))/(b^7*(a - b)))*((a*b^2 + (a*b^5)^(1/2))/(b^4*d^2*(a - b)))^(1/2))/4 - (262144*a^4*d*(72*a*b - 64*a^2 - 9*b^2 + 256*a^2*exp(2*c + 2*d*x) + 31*b^2*exp(2*c + 2*d*x) - 288*a*b*exp(2*c + 2*d*x)))/(b^9*(a - b)))*((a*b^2 + (a*b^5)^(1/2))/(b^4*d^2*(a - b)))^(1/2))/4 + (32768*a^4*(128*a*b - 128*a^2 - 15*b^2 + 256*a^2*exp(2*c + 2*d*x) + 29*b^2*exp(2*c + 2*d*x) - 304*a*b*exp(2*c + 2*d*x)))/(b^10*(a - b)))*(-(a*b^2 + (a*b^5)^(1/2))/(16*(b^5*d^2 - a*b^4*d^2)))^(1/2) + log((((((524288*a^3*d^2*(31*a*b^2 - 128*a^2*b + 128*a^3 - b^3 + 256*a^3*exp(2*c + 2*d*x) + b^3*exp(2*c + 2*d*x) + 21*a*b^2*exp(2*c + 2*d*x) - 240*a^2*b*exp(2*c + 2*d*x)))/(b^8*(a - b)) + (1048576*a^3*d^3*((a*b^2 + (a*b^5)^(1/2))/(b^4*d^2*(a - b)))^(1/2)*(45*a*b^2 - 104*a^2*b + 64*a^3 - 3*b^3 + 4*b^3*exp(2*c + 2*d*x) - 50*a*b^2*exp(2*c + 2*d*x) + 48*a^2*b*exp(2*c + 2*d*x)))/(b^7*(a - b)))*((a*b^2 + (a*b^5)^(1/2))/(b^4*d^2*(a - b)))^(1/2))/4 + (262144*a^4*d*(72*a*b - 64*a^2 - 9*b^2 + 256*a^2*exp(2*c + 2*d*x) + 31*b^2*exp(2*c + 2*d*x) - 288*a*b*exp(2*c + 2*d*x)))/(b^9*(a - b)))*((a*b^2 + (a*b^5)^(1/2))/(b^4*d^2*(a - b)))^(1/2))/4 + (32768*a^4*(128*a*b - 128*a^2 - 15*b^2 + 256*a^2*exp(2*c + 2*d*x) + 29*b^2*exp(2*c + 2*d*x) - 304*a*b*exp(2*c + 2*d*x)))/(b^10*(a - b)))*(-(a*b^2 + (a*b^5)^(1/2))/(16*(b^5*d^2 - a*b^4*d^2)))^(1/2)","B"
237,1,1859,125,12.900535,"\text{Not used}","int(sinh(c + d*x)^2/(a - b*sinh(c + d*x)^4),x)","\ln\left(\frac{\left(\frac{\left(\frac{262144\,a^2\,d^2\,\left(102\,a\,b-128\,a^2-22\,b^2-272\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+19\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+189\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^6\,\left(a-b\right)}-\frac{131072\,a^2\,d^3\,\sqrt{\frac{a\,b+\sqrt{a\,b^3}}{a\,b^2\,d^2\,\left(a-b\right)}}\,\left(119\,a\,b^2-136\,a^2\,b+b^3-1024\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+9\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-809\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1808\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^6\,\left(a-b\right)}\right)\,\sqrt{\frac{a\,b+\sqrt{a\,b^3}}{a\,b^2\,d^2\,\left(a-b\right)}}}{4}+\frac{32768\,a\,d\,\left(120\,a^2\,b-129\,a\,b^2+b^3-1024\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+201\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+816\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^7\,\left(a-b\right)}\right)\,\sqrt{\frac{a\,b+\sqrt{a\,b^3}}{a\,b^2\,d^2\,\left(a-b\right)}}}{4}-\frac{16384\,a\,\left(106\,a\,b-128\,a^2-2\,b^2+240\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-275\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^7\,\left(a-b\right)}\right)\,\sqrt{-\frac{a\,b+\sqrt{a\,b^3}}{16\,\left(a\,b^3\,d^2-a^2\,b^2\,d^2\right)}}-\ln\left(\frac{\left(\frac{\left(\frac{262144\,a^2\,d^2\,\left(102\,a\,b-128\,a^2-22\,b^2-272\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+19\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+189\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^6\,\left(a-b\right)}+\frac{131072\,a^2\,d^3\,\sqrt{\frac{a\,b+\sqrt{a\,b^3}}{a\,b^2\,d^2\,\left(a-b\right)}}\,\left(119\,a\,b^2-136\,a^2\,b+b^3-1024\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+9\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-809\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1808\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^6\,\left(a-b\right)}\right)\,\sqrt{\frac{a\,b+\sqrt{a\,b^3}}{a\,b^2\,d^2\,\left(a-b\right)}}}{4}-\frac{32768\,a\,d\,\left(120\,a^2\,b-129\,a\,b^2+b^3-1024\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+201\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+816\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^7\,\left(a-b\right)}\right)\,\sqrt{\frac{a\,b+\sqrt{a\,b^3}}{a\,b^2\,d^2\,\left(a-b\right)}}}{4}-\frac{16384\,a\,\left(106\,a\,b-128\,a^2-2\,b^2+240\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-275\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^7\,\left(a-b\right)}\right)\,\sqrt{-\frac{a\,b+\sqrt{a\,b^3}}{16\,\left(a\,b^3\,d^2-a^2\,b^2\,d^2\right)}}+\ln\left(\frac{\left(\frac{\left(\frac{262144\,a^2\,d^2\,\left(102\,a\,b-128\,a^2-22\,b^2-272\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+19\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+189\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^6\,\left(a-b\right)}-\frac{131072\,a^2\,d^3\,\sqrt{\frac{a\,b-\sqrt{a\,b^3}}{a\,b^2\,d^2\,\left(a-b\right)}}\,\left(119\,a\,b^2-136\,a^2\,b+b^3-1024\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+9\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-809\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1808\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^6\,\left(a-b\right)}\right)\,\sqrt{\frac{a\,b-\sqrt{a\,b^3}}{a\,b^2\,d^2\,\left(a-b\right)}}}{4}+\frac{32768\,a\,d\,\left(120\,a^2\,b-129\,a\,b^2+b^3-1024\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+201\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+816\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^7\,\left(a-b\right)}\right)\,\sqrt{\frac{a\,b-\sqrt{a\,b^3}}{a\,b^2\,d^2\,\left(a-b\right)}}}{4}-\frac{16384\,a\,\left(106\,a\,b-128\,a^2-2\,b^2+240\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-275\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^7\,\left(a-b\right)}\right)\,\sqrt{-\frac{a\,b-\sqrt{a\,b^3}}{16\,\left(a\,b^3\,d^2-a^2\,b^2\,d^2\right)}}-\ln\left(\frac{\left(\frac{\left(\frac{262144\,a^2\,d^2\,\left(102\,a\,b-128\,a^2-22\,b^2-272\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+19\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+189\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^6\,\left(a-b\right)}+\frac{131072\,a^2\,d^3\,\sqrt{\frac{a\,b-\sqrt{a\,b^3}}{a\,b^2\,d^2\,\left(a-b\right)}}\,\left(119\,a\,b^2-136\,a^2\,b+b^3-1024\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+9\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-809\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1808\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^6\,\left(a-b\right)}\right)\,\sqrt{\frac{a\,b-\sqrt{a\,b^3}}{a\,b^2\,d^2\,\left(a-b\right)}}}{4}-\frac{32768\,a\,d\,\left(120\,a^2\,b-129\,a\,b^2+b^3-1024\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+201\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+816\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^7\,\left(a-b\right)}\right)\,\sqrt{\frac{a\,b-\sqrt{a\,b^3}}{a\,b^2\,d^2\,\left(a-b\right)}}}{4}-\frac{16384\,a\,\left(106\,a\,b-128\,a^2-2\,b^2+240\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-275\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^7\,\left(a-b\right)}\right)\,\sqrt{-\frac{a\,b-\sqrt{a\,b^3}}{16\,\left(a\,b^3\,d^2-a^2\,b^2\,d^2\right)}}","Not used",1,"log((((((262144*a^2*d^2*(102*a*b - 128*a^2 - 22*b^2 - 272*a^2*exp(2*c + 2*d*x) + 19*b^2*exp(2*c + 2*d*x) + 189*a*b*exp(2*c + 2*d*x)))/(b^6*(a - b)) - (131072*a^2*d^3*((a*b + (a*b^3)^(1/2))/(a*b^2*d^2*(a - b)))^(1/2)*(119*a*b^2 - 136*a^2*b + b^3 - 1024*a^3*exp(2*c + 2*d*x) + 9*b^3*exp(2*c + 2*d*x) - 809*a*b^2*exp(2*c + 2*d*x) + 1808*a^2*b*exp(2*c + 2*d*x)))/(b^6*(a - b)))*((a*b + (a*b^3)^(1/2))/(a*b^2*d^2*(a - b)))^(1/2))/4 + (32768*a*d*(120*a^2*b - 129*a*b^2 + b^3 - 1024*a^3*exp(2*c + 2*d*x) - b^3*exp(2*c + 2*d*x) + 201*a*b^2*exp(2*c + 2*d*x) + 816*a^2*b*exp(2*c + 2*d*x)))/(b^7*(a - b)))*((a*b + (a*b^3)^(1/2))/(a*b^2*d^2*(a - b)))^(1/2))/4 - (16384*a*(106*a*b - 128*a^2 - 2*b^2 + 240*a^2*exp(2*c + 2*d*x) + 3*b^2*exp(2*c + 2*d*x) - 275*a*b*exp(2*c + 2*d*x)))/(b^7*(a - b)))*(-(a*b + (a*b^3)^(1/2))/(16*(a*b^3*d^2 - a^2*b^2*d^2)))^(1/2) - log((((((262144*a^2*d^2*(102*a*b - 128*a^2 - 22*b^2 - 272*a^2*exp(2*c + 2*d*x) + 19*b^2*exp(2*c + 2*d*x) + 189*a*b*exp(2*c + 2*d*x)))/(b^6*(a - b)) + (131072*a^2*d^3*((a*b + (a*b^3)^(1/2))/(a*b^2*d^2*(a - b)))^(1/2)*(119*a*b^2 - 136*a^2*b + b^3 - 1024*a^3*exp(2*c + 2*d*x) + 9*b^3*exp(2*c + 2*d*x) - 809*a*b^2*exp(2*c + 2*d*x) + 1808*a^2*b*exp(2*c + 2*d*x)))/(b^6*(a - b)))*((a*b + (a*b^3)^(1/2))/(a*b^2*d^2*(a - b)))^(1/2))/4 - (32768*a*d*(120*a^2*b - 129*a*b^2 + b^3 - 1024*a^3*exp(2*c + 2*d*x) - b^3*exp(2*c + 2*d*x) + 201*a*b^2*exp(2*c + 2*d*x) + 816*a^2*b*exp(2*c + 2*d*x)))/(b^7*(a - b)))*((a*b + (a*b^3)^(1/2))/(a*b^2*d^2*(a - b)))^(1/2))/4 - (16384*a*(106*a*b - 128*a^2 - 2*b^2 + 240*a^2*exp(2*c + 2*d*x) + 3*b^2*exp(2*c + 2*d*x) - 275*a*b*exp(2*c + 2*d*x)))/(b^7*(a - b)))*(-(a*b + (a*b^3)^(1/2))/(16*(a*b^3*d^2 - a^2*b^2*d^2)))^(1/2) + log((((((262144*a^2*d^2*(102*a*b - 128*a^2 - 22*b^2 - 272*a^2*exp(2*c + 2*d*x) + 19*b^2*exp(2*c + 2*d*x) + 189*a*b*exp(2*c + 2*d*x)))/(b^6*(a - b)) - (131072*a^2*d^3*((a*b - (a*b^3)^(1/2))/(a*b^2*d^2*(a - b)))^(1/2)*(119*a*b^2 - 136*a^2*b + b^3 - 1024*a^3*exp(2*c + 2*d*x) + 9*b^3*exp(2*c + 2*d*x) - 809*a*b^2*exp(2*c + 2*d*x) + 1808*a^2*b*exp(2*c + 2*d*x)))/(b^6*(a - b)))*((a*b - (a*b^3)^(1/2))/(a*b^2*d^2*(a - b)))^(1/2))/4 + (32768*a*d*(120*a^2*b - 129*a*b^2 + b^3 - 1024*a^3*exp(2*c + 2*d*x) - b^3*exp(2*c + 2*d*x) + 201*a*b^2*exp(2*c + 2*d*x) + 816*a^2*b*exp(2*c + 2*d*x)))/(b^7*(a - b)))*((a*b - (a*b^3)^(1/2))/(a*b^2*d^2*(a - b)))^(1/2))/4 - (16384*a*(106*a*b - 128*a^2 - 2*b^2 + 240*a^2*exp(2*c + 2*d*x) + 3*b^2*exp(2*c + 2*d*x) - 275*a*b*exp(2*c + 2*d*x)))/(b^7*(a - b)))*(-(a*b - (a*b^3)^(1/2))/(16*(a*b^3*d^2 - a^2*b^2*d^2)))^(1/2) - log((((((262144*a^2*d^2*(102*a*b - 128*a^2 - 22*b^2 - 272*a^2*exp(2*c + 2*d*x) + 19*b^2*exp(2*c + 2*d*x) + 189*a*b*exp(2*c + 2*d*x)))/(b^6*(a - b)) + (131072*a^2*d^3*((a*b - (a*b^3)^(1/2))/(a*b^2*d^2*(a - b)))^(1/2)*(119*a*b^2 - 136*a^2*b + b^3 - 1024*a^3*exp(2*c + 2*d*x) + 9*b^3*exp(2*c + 2*d*x) - 809*a*b^2*exp(2*c + 2*d*x) + 1808*a^2*b*exp(2*c + 2*d*x)))/(b^6*(a - b)))*((a*b - (a*b^3)^(1/2))/(a*b^2*d^2*(a - b)))^(1/2))/4 - (32768*a*d*(120*a^2*b - 129*a*b^2 + b^3 - 1024*a^3*exp(2*c + 2*d*x) - b^3*exp(2*c + 2*d*x) + 201*a*b^2*exp(2*c + 2*d*x) + 816*a^2*b*exp(2*c + 2*d*x)))/(b^7*(a - b)))*((a*b - (a*b^3)^(1/2))/(a*b^2*d^2*(a - b)))^(1/2))/4 - (16384*a*(106*a*b - 128*a^2 - 2*b^2 + 240*a^2*exp(2*c + 2*d*x) + 3*b^2*exp(2*c + 2*d*x) - 275*a*b*exp(2*c + 2*d*x)))/(b^7*(a - b)))*(-(a*b - (a*b^3)^(1/2))/(16*(a*b^3*d^2 - a^2*b^2*d^2)))^(1/2)","B"
238,1,1787,115,10.104703,"\text{Not used}","int(1/(a - b*sinh(c + d*x)^4),x)","\ln\left(\frac{\left(\frac{\left(\frac{524288\,d^2\,\left(31\,a\,b^2-128\,a^2\,b+128\,a^3-b^3+256\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+21\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-240\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^5\,\left(a-b\right)}+\frac{1048576\,a\,d^3\,\sqrt{\frac{a^2-\sqrt{a^3\,b}}{a^3\,d^2\,\left(a-b\right)}}\,\left(45\,a\,b^2-104\,a^2\,b+64\,a^3-3\,b^3+4\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-50\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+48\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^5\,\left(a-b\right)}\right)\,\sqrt{\frac{a^2-\sqrt{a^3\,b}}{a^3\,d^2\,\left(a-b\right)}}}{4}+\frac{262144\,d\,\left(72\,a\,b-64\,a^2-9\,b^2+256\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+31\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-288\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^5\,\left(a-b\right)}\right)\,\sqrt{\frac{a^2-\sqrt{a^3\,b}}{a^3\,d^2\,\left(a-b\right)}}}{4}+\frac{32768\,\left(128\,a\,b-128\,a^2-15\,b^2+256\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+29\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-304\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a\,b^5\,\left(a-b\right)}\right)\,\sqrt{\frac{a^2-\sqrt{a^3\,b}}{16\,\left(a^4\,d^2-a^3\,b\,d^2\right)}}-\ln\left(\frac{\left(\frac{\left(\frac{524288\,d^2\,\left(31\,a\,b^2-128\,a^2\,b+128\,a^3-b^3+256\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+21\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-240\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^5\,\left(a-b\right)}-\frac{1048576\,a\,d^3\,\sqrt{\frac{a^2-\sqrt{a^3\,b}}{a^3\,d^2\,\left(a-b\right)}}\,\left(45\,a\,b^2-104\,a^2\,b+64\,a^3-3\,b^3+4\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-50\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+48\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^5\,\left(a-b\right)}\right)\,\sqrt{\frac{a^2-\sqrt{a^3\,b}}{a^3\,d^2\,\left(a-b\right)}}}{4}-\frac{262144\,d\,\left(72\,a\,b-64\,a^2-9\,b^2+256\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+31\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-288\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^5\,\left(a-b\right)}\right)\,\sqrt{\frac{a^2-\sqrt{a^3\,b}}{a^3\,d^2\,\left(a-b\right)}}}{4}+\frac{32768\,\left(128\,a\,b-128\,a^2-15\,b^2+256\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+29\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-304\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a\,b^5\,\left(a-b\right)}\right)\,\sqrt{\frac{a^2-\sqrt{a^3\,b}}{16\,\left(a^4\,d^2-a^3\,b\,d^2\right)}}-\ln\left(\frac{\left(\frac{\left(\frac{524288\,d^2\,\left(31\,a\,b^2-128\,a^2\,b+128\,a^3-b^3+256\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+21\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-240\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^5\,\left(a-b\right)}-\frac{1048576\,a\,d^3\,\sqrt{\frac{a^2+\sqrt{a^3\,b}}{a^3\,d^2\,\left(a-b\right)}}\,\left(45\,a\,b^2-104\,a^2\,b+64\,a^3-3\,b^3+4\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-50\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+48\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^5\,\left(a-b\right)}\right)\,\sqrt{\frac{a^2+\sqrt{a^3\,b}}{a^3\,d^2\,\left(a-b\right)}}}{4}-\frac{262144\,d\,\left(72\,a\,b-64\,a^2-9\,b^2+256\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+31\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-288\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^5\,\left(a-b\right)}\right)\,\sqrt{\frac{a^2+\sqrt{a^3\,b}}{a^3\,d^2\,\left(a-b\right)}}}{4}+\frac{32768\,\left(128\,a\,b-128\,a^2-15\,b^2+256\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+29\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-304\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a\,b^5\,\left(a-b\right)}\right)\,\sqrt{\frac{a^2+\sqrt{a^3\,b}}{16\,\left(a^4\,d^2-a^3\,b\,d^2\right)}}+\ln\left(\frac{\left(\frac{\left(\frac{524288\,d^2\,\left(31\,a\,b^2-128\,a^2\,b+128\,a^3-b^3+256\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+21\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-240\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^5\,\left(a-b\right)}+\frac{1048576\,a\,d^3\,\sqrt{\frac{a^2+\sqrt{a^3\,b}}{a^3\,d^2\,\left(a-b\right)}}\,\left(45\,a\,b^2-104\,a^2\,b+64\,a^3-3\,b^3+4\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-50\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+48\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^5\,\left(a-b\right)}\right)\,\sqrt{\frac{a^2+\sqrt{a^3\,b}}{a^3\,d^2\,\left(a-b\right)}}}{4}+\frac{262144\,d\,\left(72\,a\,b-64\,a^2-9\,b^2+256\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+31\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-288\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^5\,\left(a-b\right)}\right)\,\sqrt{\frac{a^2+\sqrt{a^3\,b}}{a^3\,d^2\,\left(a-b\right)}}}{4}+\frac{32768\,\left(128\,a\,b-128\,a^2-15\,b^2+256\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+29\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-304\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a\,b^5\,\left(a-b\right)}\right)\,\sqrt{\frac{a^2+\sqrt{a^3\,b}}{16\,\left(a^4\,d^2-a^3\,b\,d^2\right)}}","Not used",1,"log((((((524288*d^2*(31*a*b^2 - 128*a^2*b + 128*a^3 - b^3 + 256*a^3*exp(2*c + 2*d*x) + b^3*exp(2*c + 2*d*x) + 21*a*b^2*exp(2*c + 2*d*x) - 240*a^2*b*exp(2*c + 2*d*x)))/(b^5*(a - b)) + (1048576*a*d^3*((a^2 - (a^3*b)^(1/2))/(a^3*d^2*(a - b)))^(1/2)*(45*a*b^2 - 104*a^2*b + 64*a^3 - 3*b^3 + 4*b^3*exp(2*c + 2*d*x) - 50*a*b^2*exp(2*c + 2*d*x) + 48*a^2*b*exp(2*c + 2*d*x)))/(b^5*(a - b)))*((a^2 - (a^3*b)^(1/2))/(a^3*d^2*(a - b)))^(1/2))/4 + (262144*d*(72*a*b - 64*a^2 - 9*b^2 + 256*a^2*exp(2*c + 2*d*x) + 31*b^2*exp(2*c + 2*d*x) - 288*a*b*exp(2*c + 2*d*x)))/(b^5*(a - b)))*((a^2 - (a^3*b)^(1/2))/(a^3*d^2*(a - b)))^(1/2))/4 + (32768*(128*a*b - 128*a^2 - 15*b^2 + 256*a^2*exp(2*c + 2*d*x) + 29*b^2*exp(2*c + 2*d*x) - 304*a*b*exp(2*c + 2*d*x)))/(a*b^5*(a - b)))*((a^2 - (a^3*b)^(1/2))/(16*(a^4*d^2 - a^3*b*d^2)))^(1/2) - log((((((524288*d^2*(31*a*b^2 - 128*a^2*b + 128*a^3 - b^3 + 256*a^3*exp(2*c + 2*d*x) + b^3*exp(2*c + 2*d*x) + 21*a*b^2*exp(2*c + 2*d*x) - 240*a^2*b*exp(2*c + 2*d*x)))/(b^5*(a - b)) - (1048576*a*d^3*((a^2 - (a^3*b)^(1/2))/(a^3*d^2*(a - b)))^(1/2)*(45*a*b^2 - 104*a^2*b + 64*a^3 - 3*b^3 + 4*b^3*exp(2*c + 2*d*x) - 50*a*b^2*exp(2*c + 2*d*x) + 48*a^2*b*exp(2*c + 2*d*x)))/(b^5*(a - b)))*((a^2 - (a^3*b)^(1/2))/(a^3*d^2*(a - b)))^(1/2))/4 - (262144*d*(72*a*b - 64*a^2 - 9*b^2 + 256*a^2*exp(2*c + 2*d*x) + 31*b^2*exp(2*c + 2*d*x) - 288*a*b*exp(2*c + 2*d*x)))/(b^5*(a - b)))*((a^2 - (a^3*b)^(1/2))/(a^3*d^2*(a - b)))^(1/2))/4 + (32768*(128*a*b - 128*a^2 - 15*b^2 + 256*a^2*exp(2*c + 2*d*x) + 29*b^2*exp(2*c + 2*d*x) - 304*a*b*exp(2*c + 2*d*x)))/(a*b^5*(a - b)))*((a^2 - (a^3*b)^(1/2))/(16*(a^4*d^2 - a^3*b*d^2)))^(1/2) - log((((((524288*d^2*(31*a*b^2 - 128*a^2*b + 128*a^3 - b^3 + 256*a^3*exp(2*c + 2*d*x) + b^3*exp(2*c + 2*d*x) + 21*a*b^2*exp(2*c + 2*d*x) - 240*a^2*b*exp(2*c + 2*d*x)))/(b^5*(a - b)) - (1048576*a*d^3*((a^2 + (a^3*b)^(1/2))/(a^3*d^2*(a - b)))^(1/2)*(45*a*b^2 - 104*a^2*b + 64*a^3 - 3*b^3 + 4*b^3*exp(2*c + 2*d*x) - 50*a*b^2*exp(2*c + 2*d*x) + 48*a^2*b*exp(2*c + 2*d*x)))/(b^5*(a - b)))*((a^2 + (a^3*b)^(1/2))/(a^3*d^2*(a - b)))^(1/2))/4 - (262144*d*(72*a*b - 64*a^2 - 9*b^2 + 256*a^2*exp(2*c + 2*d*x) + 31*b^2*exp(2*c + 2*d*x) - 288*a*b*exp(2*c + 2*d*x)))/(b^5*(a - b)))*((a^2 + (a^3*b)^(1/2))/(a^3*d^2*(a - b)))^(1/2))/4 + (32768*(128*a*b - 128*a^2 - 15*b^2 + 256*a^2*exp(2*c + 2*d*x) + 29*b^2*exp(2*c + 2*d*x) - 304*a*b*exp(2*c + 2*d*x)))/(a*b^5*(a - b)))*((a^2 + (a^3*b)^(1/2))/(16*(a^4*d^2 - a^3*b*d^2)))^(1/2) + log((((((524288*d^2*(31*a*b^2 - 128*a^2*b + 128*a^3 - b^3 + 256*a^3*exp(2*c + 2*d*x) + b^3*exp(2*c + 2*d*x) + 21*a*b^2*exp(2*c + 2*d*x) - 240*a^2*b*exp(2*c + 2*d*x)))/(b^5*(a - b)) + (1048576*a*d^3*((a^2 + (a^3*b)^(1/2))/(a^3*d^2*(a - b)))^(1/2)*(45*a*b^2 - 104*a^2*b + 64*a^3 - 3*b^3 + 4*b^3*exp(2*c + 2*d*x) - 50*a*b^2*exp(2*c + 2*d*x) + 48*a^2*b*exp(2*c + 2*d*x)))/(b^5*(a - b)))*((a^2 + (a^3*b)^(1/2))/(a^3*d^2*(a - b)))^(1/2))/4 + (262144*d*(72*a*b - 64*a^2 - 9*b^2 + 256*a^2*exp(2*c + 2*d*x) + 31*b^2*exp(2*c + 2*d*x) - 288*a*b*exp(2*c + 2*d*x)))/(b^5*(a - b)))*((a^2 + (a^3*b)^(1/2))/(a^3*d^2*(a - b)))^(1/2))/4 + (32768*(128*a*b - 128*a^2 - 15*b^2 + 256*a^2*exp(2*c + 2*d*x) + 29*b^2*exp(2*c + 2*d*x) - 304*a*b*exp(2*c + 2*d*x)))/(a*b^5*(a - b)))*((a^2 + (a^3*b)^(1/2))/(16*(a^4*d^2 - a^3*b*d^2)))^(1/2)","B"
239,1,2128,139,11.285450,"\text{Not used}","int(1/(sinh(c + d*x)^2*(a - b*sinh(c + d*x)^4)),x)","\ln\left(\frac{\left(\frac{\left(\frac{4194304\,d^2\,\left(512\,a^4-1184\,a^3\,b-253\,a\,b^3-b^4+930\,a^2\,b^2+b^4\,{\mathrm{e}}^{2\,c+2\,d\,x}+627\,a\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+768\,a^3\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}-1392\,a^2\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^2\,b^4\,{\left(a-b\right)}^2}-\frac{16777216\,d^3\,\sqrt{\frac{\sqrt{a^5\,b^3}+a^3\,b}{a^5\,d^2\,\left(a-b\right)}}\,\left(40\,a\,b^2-35\,b^3+512\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+64\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+326\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-896\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^5\,\left(a-b\right)}\right)\,\sqrt{\frac{\sqrt{a^5\,b^3}+a^3\,b}{a^5\,d^2\,\left(a-b\right)}}}{4}-\frac{2097152\,d\,\left(256\,a^2\,b-256\,a\,b^2-5\,b^3-1024\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+756\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+256\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^3\,b^4\,\left(a-b\right)}\right)\,\sqrt{\frac{\sqrt{a^5\,b^3}+a^3\,b}{a^5\,d^2\,\left(a-b\right)}}}{4}-\frac{524288\,\left(185\,a\,b^2-464\,a^2\,b+256\,a^3+24\,b^3-1024\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-35\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-988\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+2048\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^4\,b^3\,{\left(a-b\right)}^2}\right)\,\sqrt{\frac{\sqrt{a^5\,b^3}+a^3\,b}{16\,\left(a^6\,d^2-a^5\,b\,d^2\right)}}-\ln\left(\frac{\left(\frac{\left(\frac{4194304\,d^2\,\left(512\,a^4-1184\,a^3\,b-253\,a\,b^3-b^4+930\,a^2\,b^2+b^4\,{\mathrm{e}}^{2\,c+2\,d\,x}+627\,a\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+768\,a^3\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}-1392\,a^2\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^2\,b^4\,{\left(a-b\right)}^2}+\frac{16777216\,d^3\,\sqrt{\frac{\sqrt{a^5\,b^3}+a^3\,b}{a^5\,d^2\,\left(a-b\right)}}\,\left(40\,a\,b^2-35\,b^3+512\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+64\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+326\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-896\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^5\,\left(a-b\right)}\right)\,\sqrt{\frac{\sqrt{a^5\,b^3}+a^3\,b}{a^5\,d^2\,\left(a-b\right)}}}{4}+\frac{2097152\,d\,\left(256\,a^2\,b-256\,a\,b^2-5\,b^3-1024\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+756\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+256\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^3\,b^4\,\left(a-b\right)}\right)\,\sqrt{\frac{\sqrt{a^5\,b^3}+a^3\,b}{a^5\,d^2\,\left(a-b\right)}}}{4}-\frac{524288\,\left(185\,a\,b^2-464\,a^2\,b+256\,a^3+24\,b^3-1024\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-35\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-988\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+2048\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^4\,b^3\,{\left(a-b\right)}^2}\right)\,\sqrt{\frac{\sqrt{a^5\,b^3}+a^3\,b}{16\,\left(a^6\,d^2-a^5\,b\,d^2\right)}}+\ln\left(\frac{\left(\frac{\left(\frac{4194304\,d^2\,\left(512\,a^4-1184\,a^3\,b-253\,a\,b^3-b^4+930\,a^2\,b^2+b^4\,{\mathrm{e}}^{2\,c+2\,d\,x}+627\,a\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+768\,a^3\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}-1392\,a^2\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^2\,b^4\,{\left(a-b\right)}^2}-\frac{16777216\,d^3\,\sqrt{-\frac{\sqrt{a^5\,b^3}-a^3\,b}{a^5\,d^2\,\left(a-b\right)}}\,\left(40\,a\,b^2-35\,b^3+512\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+64\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+326\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-896\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^5\,\left(a-b\right)}\right)\,\sqrt{-\frac{\sqrt{a^5\,b^3}-a^3\,b}{a^5\,d^2\,\left(a-b\right)}}}{4}-\frac{2097152\,d\,\left(256\,a^2\,b-256\,a\,b^2-5\,b^3-1024\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+756\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+256\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^3\,b^4\,\left(a-b\right)}\right)\,\sqrt{-\frac{\sqrt{a^5\,b^3}-a^3\,b}{a^5\,d^2\,\left(a-b\right)}}}{4}-\frac{524288\,\left(185\,a\,b^2-464\,a^2\,b+256\,a^3+24\,b^3-1024\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-35\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-988\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+2048\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^4\,b^3\,{\left(a-b\right)}^2}\right)\,\sqrt{-\frac{\sqrt{a^5\,b^3}-a^3\,b}{16\,\left(a^6\,d^2-a^5\,b\,d^2\right)}}-\ln\left(\frac{\left(\frac{\left(\frac{4194304\,d^2\,\left(512\,a^4-1184\,a^3\,b-253\,a\,b^3-b^4+930\,a^2\,b^2+b^4\,{\mathrm{e}}^{2\,c+2\,d\,x}+627\,a\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+768\,a^3\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}-1392\,a^2\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^2\,b^4\,{\left(a-b\right)}^2}+\frac{16777216\,d^3\,\sqrt{-\frac{\sqrt{a^5\,b^3}-a^3\,b}{a^5\,d^2\,\left(a-b\right)}}\,\left(40\,a\,b^2-35\,b^3+512\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+64\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+326\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-896\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{b^5\,\left(a-b\right)}\right)\,\sqrt{-\frac{\sqrt{a^5\,b^3}-a^3\,b}{a^5\,d^2\,\left(a-b\right)}}}{4}+\frac{2097152\,d\,\left(256\,a^2\,b-256\,a\,b^2-5\,b^3-1024\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+756\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+256\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^3\,b^4\,\left(a-b\right)}\right)\,\sqrt{-\frac{\sqrt{a^5\,b^3}-a^3\,b}{a^5\,d^2\,\left(a-b\right)}}}{4}-\frac{524288\,\left(185\,a\,b^2-464\,a^2\,b+256\,a^3+24\,b^3-1024\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-35\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-988\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+2048\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^4\,b^3\,{\left(a-b\right)}^2}\right)\,\sqrt{-\frac{\sqrt{a^5\,b^3}-a^3\,b}{16\,\left(a^6\,d^2-a^5\,b\,d^2\right)}}-\frac{2}{a\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}","Not used",1,"log((((((4194304*d^2*(512*a^4 - 1184*a^3*b - 253*a*b^3 - b^4 + 930*a^2*b^2 + b^4*exp(2*c + 2*d*x) + 627*a*b^3*exp(2*c + 2*d*x) + 768*a^3*b*exp(2*c + 2*d*x) - 1392*a^2*b^2*exp(2*c + 2*d*x)))/(a^2*b^4*(a - b)^2) - (16777216*d^3*(((a^5*b^3)^(1/2) + a^3*b)/(a^5*d^2*(a - b)))^(1/2)*(40*a*b^2 - 35*b^3 + 512*a^3*exp(2*c + 2*d*x) + 64*b^3*exp(2*c + 2*d*x) + 326*a*b^2*exp(2*c + 2*d*x) - 896*a^2*b*exp(2*c + 2*d*x)))/(b^5*(a - b)))*(((a^5*b^3)^(1/2) + a^3*b)/(a^5*d^2*(a - b)))^(1/2))/4 - (2097152*d*(256*a^2*b - 256*a*b^2 - 5*b^3 - 1024*a^3*exp(2*c + 2*d*x) + 6*b^3*exp(2*c + 2*d*x) + 756*a*b^2*exp(2*c + 2*d*x) + 256*a^2*b*exp(2*c + 2*d*x)))/(a^3*b^4*(a - b)))*(((a^5*b^3)^(1/2) + a^3*b)/(a^5*d^2*(a - b)))^(1/2))/4 - (524288*(185*a*b^2 - 464*a^2*b + 256*a^3 + 24*b^3 - 1024*a^3*exp(2*c + 2*d*x) - 35*b^3*exp(2*c + 2*d*x) - 988*a*b^2*exp(2*c + 2*d*x) + 2048*a^2*b*exp(2*c + 2*d*x)))/(a^4*b^3*(a - b)^2))*(((a^5*b^3)^(1/2) + a^3*b)/(16*(a^6*d^2 - a^5*b*d^2)))^(1/2) - log((((((4194304*d^2*(512*a^4 - 1184*a^3*b - 253*a*b^3 - b^4 + 930*a^2*b^2 + b^4*exp(2*c + 2*d*x) + 627*a*b^3*exp(2*c + 2*d*x) + 768*a^3*b*exp(2*c + 2*d*x) - 1392*a^2*b^2*exp(2*c + 2*d*x)))/(a^2*b^4*(a - b)^2) + (16777216*d^3*(((a^5*b^3)^(1/2) + a^3*b)/(a^5*d^2*(a - b)))^(1/2)*(40*a*b^2 - 35*b^3 + 512*a^3*exp(2*c + 2*d*x) + 64*b^3*exp(2*c + 2*d*x) + 326*a*b^2*exp(2*c + 2*d*x) - 896*a^2*b*exp(2*c + 2*d*x)))/(b^5*(a - b)))*(((a^5*b^3)^(1/2) + a^3*b)/(a^5*d^2*(a - b)))^(1/2))/4 + (2097152*d*(256*a^2*b - 256*a*b^2 - 5*b^3 - 1024*a^3*exp(2*c + 2*d*x) + 6*b^3*exp(2*c + 2*d*x) + 756*a*b^2*exp(2*c + 2*d*x) + 256*a^2*b*exp(2*c + 2*d*x)))/(a^3*b^4*(a - b)))*(((a^5*b^3)^(1/2) + a^3*b)/(a^5*d^2*(a - b)))^(1/2))/4 - (524288*(185*a*b^2 - 464*a^2*b + 256*a^3 + 24*b^3 - 1024*a^3*exp(2*c + 2*d*x) - 35*b^3*exp(2*c + 2*d*x) - 988*a*b^2*exp(2*c + 2*d*x) + 2048*a^2*b*exp(2*c + 2*d*x)))/(a^4*b^3*(a - b)^2))*(((a^5*b^3)^(1/2) + a^3*b)/(16*(a^6*d^2 - a^5*b*d^2)))^(1/2) + log((((((4194304*d^2*(512*a^4 - 1184*a^3*b - 253*a*b^3 - b^4 + 930*a^2*b^2 + b^4*exp(2*c + 2*d*x) + 627*a*b^3*exp(2*c + 2*d*x) + 768*a^3*b*exp(2*c + 2*d*x) - 1392*a^2*b^2*exp(2*c + 2*d*x)))/(a^2*b^4*(a - b)^2) - (16777216*d^3*(-((a^5*b^3)^(1/2) - a^3*b)/(a^5*d^2*(a - b)))^(1/2)*(40*a*b^2 - 35*b^3 + 512*a^3*exp(2*c + 2*d*x) + 64*b^3*exp(2*c + 2*d*x) + 326*a*b^2*exp(2*c + 2*d*x) - 896*a^2*b*exp(2*c + 2*d*x)))/(b^5*(a - b)))*(-((a^5*b^3)^(1/2) - a^3*b)/(a^5*d^2*(a - b)))^(1/2))/4 - (2097152*d*(256*a^2*b - 256*a*b^2 - 5*b^3 - 1024*a^3*exp(2*c + 2*d*x) + 6*b^3*exp(2*c + 2*d*x) + 756*a*b^2*exp(2*c + 2*d*x) + 256*a^2*b*exp(2*c + 2*d*x)))/(a^3*b^4*(a - b)))*(-((a^5*b^3)^(1/2) - a^3*b)/(a^5*d^2*(a - b)))^(1/2))/4 - (524288*(185*a*b^2 - 464*a^2*b + 256*a^3 + 24*b^3 - 1024*a^3*exp(2*c + 2*d*x) - 35*b^3*exp(2*c + 2*d*x) - 988*a*b^2*exp(2*c + 2*d*x) + 2048*a^2*b*exp(2*c + 2*d*x)))/(a^4*b^3*(a - b)^2))*(-((a^5*b^3)^(1/2) - a^3*b)/(16*(a^6*d^2 - a^5*b*d^2)))^(1/2) - log((((((4194304*d^2*(512*a^4 - 1184*a^3*b - 253*a*b^3 - b^4 + 930*a^2*b^2 + b^4*exp(2*c + 2*d*x) + 627*a*b^3*exp(2*c + 2*d*x) + 768*a^3*b*exp(2*c + 2*d*x) - 1392*a^2*b^2*exp(2*c + 2*d*x)))/(a^2*b^4*(a - b)^2) + (16777216*d^3*(-((a^5*b^3)^(1/2) - a^3*b)/(a^5*d^2*(a - b)))^(1/2)*(40*a*b^2 - 35*b^3 + 512*a^3*exp(2*c + 2*d*x) + 64*b^3*exp(2*c + 2*d*x) + 326*a*b^2*exp(2*c + 2*d*x) - 896*a^2*b*exp(2*c + 2*d*x)))/(b^5*(a - b)))*(-((a^5*b^3)^(1/2) - a^3*b)/(a^5*d^2*(a - b)))^(1/2))/4 + (2097152*d*(256*a^2*b - 256*a*b^2 - 5*b^3 - 1024*a^3*exp(2*c + 2*d*x) + 6*b^3*exp(2*c + 2*d*x) + 756*a*b^2*exp(2*c + 2*d*x) + 256*a^2*b*exp(2*c + 2*d*x)))/(a^3*b^4*(a - b)))*(-((a^5*b^3)^(1/2) - a^3*b)/(a^5*d^2*(a - b)))^(1/2))/4 - (524288*(185*a*b^2 - 464*a^2*b + 256*a^3 + 24*b^3 - 1024*a^3*exp(2*c + 2*d*x) - 35*b^3*exp(2*c + 2*d*x) - 988*a*b^2*exp(2*c + 2*d*x) + 2048*a^2*b*exp(2*c + 2*d*x)))/(a^4*b^3*(a - b)^2))*(-((a^5*b^3)^(1/2) - a^3*b)/(16*(a^6*d^2 - a^5*b*d^2)))^(1/2) - 2/(a*d*(exp(2*c + 2*d*x) - 1))","B"
240,1,2178,148,12.332879,"\text{Not used}","int(1/(sinh(c + d*x)^4*(a - b*sinh(c + d*x)^4)),x)","\ln\left(\frac{\left(\frac{\left(\frac{4194304\,d^2\,\left(512\,a^4-1184\,a^3\,b-253\,a\,b^3-b^4+930\,a^2\,b^2+b^4\,{\mathrm{e}}^{2\,c+2\,d\,x}+627\,a\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+768\,a^3\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}-1392\,a^2\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^4\,b^2\,{\left(a-b\right)}^2}+\frac{8388608\,d^3\,\sqrt{\frac{\sqrt{a^7\,b^5}+a^4\,b^2}{a^7\,d^2\,\left(a-b\right)}}\,\left(181\,a\,b^2-432\,a^2\,b+256\,a^3+5\,b^3-512\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-6\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-622\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1152\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^2\,b^3\,\left(a-b\right)}\right)\,\sqrt{\frac{\sqrt{a^7\,b^5}+a^4\,b^2}{a^7\,d^2\,\left(a-b\right)}}}{4}+\frac{2097152\,d\,\left(176\,a\,b-256\,a^2+75\,b^2+1536\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-134\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-1408\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^5\,b\,\left(a-b\right)}\right)\,\sqrt{\frac{\sqrt{a^7\,b^5}+a^4\,b^2}{a^7\,d^2\,\left(a-b\right)}}}{4}-\frac{524288\,\left(185\,a\,b^2-464\,a^2\,b+256\,a^3+24\,b^3-1024\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-35\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-988\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+2048\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^7\,{\left(a-b\right)}^2}\right)\,\sqrt{\frac{\sqrt{a^7\,b^5}+a^4\,b^2}{16\,\left(a^8\,d^2-a^7\,b\,d^2\right)}}-\ln\left(\frac{\left(\frac{\left(\frac{4194304\,d^2\,\left(512\,a^4-1184\,a^3\,b-253\,a\,b^3-b^4+930\,a^2\,b^2+b^4\,{\mathrm{e}}^{2\,c+2\,d\,x}+627\,a\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+768\,a^3\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}-1392\,a^2\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^4\,b^2\,{\left(a-b\right)}^2}-\frac{8388608\,d^3\,\sqrt{\frac{\sqrt{a^7\,b^5}+a^4\,b^2}{a^7\,d^2\,\left(a-b\right)}}\,\left(181\,a\,b^2-432\,a^2\,b+256\,a^3+5\,b^3-512\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-6\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-622\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1152\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^2\,b^3\,\left(a-b\right)}\right)\,\sqrt{\frac{\sqrt{a^7\,b^5}+a^4\,b^2}{a^7\,d^2\,\left(a-b\right)}}}{4}-\frac{2097152\,d\,\left(176\,a\,b-256\,a^2+75\,b^2+1536\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-134\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-1408\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^5\,b\,\left(a-b\right)}\right)\,\sqrt{\frac{\sqrt{a^7\,b^5}+a^4\,b^2}{a^7\,d^2\,\left(a-b\right)}}}{4}-\frac{524288\,\left(185\,a\,b^2-464\,a^2\,b+256\,a^3+24\,b^3-1024\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-35\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-988\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+2048\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^7\,{\left(a-b\right)}^2}\right)\,\sqrt{\frac{\sqrt{a^7\,b^5}+a^4\,b^2}{16\,\left(a^8\,d^2-a^7\,b\,d^2\right)}}-\ln\left(\frac{\left(\frac{\left(\frac{4194304\,d^2\,\left(512\,a^4-1184\,a^3\,b-253\,a\,b^3-b^4+930\,a^2\,b^2+b^4\,{\mathrm{e}}^{2\,c+2\,d\,x}+627\,a\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+768\,a^3\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}-1392\,a^2\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^4\,b^2\,{\left(a-b\right)}^2}-\frac{8388608\,d^3\,\sqrt{-\frac{\sqrt{a^7\,b^5}-a^4\,b^2}{a^7\,d^2\,\left(a-b\right)}}\,\left(181\,a\,b^2-432\,a^2\,b+256\,a^3+5\,b^3-512\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-6\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-622\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1152\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^2\,b^3\,\left(a-b\right)}\right)\,\sqrt{-\frac{\sqrt{a^7\,b^5}-a^4\,b^2}{a^7\,d^2\,\left(a-b\right)}}}{4}-\frac{2097152\,d\,\left(176\,a\,b-256\,a^2+75\,b^2+1536\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-134\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-1408\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^5\,b\,\left(a-b\right)}\right)\,\sqrt{-\frac{\sqrt{a^7\,b^5}-a^4\,b^2}{a^7\,d^2\,\left(a-b\right)}}}{4}-\frac{524288\,\left(185\,a\,b^2-464\,a^2\,b+256\,a^3+24\,b^3-1024\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-35\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-988\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+2048\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^7\,{\left(a-b\right)}^2}\right)\,\sqrt{-\frac{\sqrt{a^7\,b^5}-a^4\,b^2}{16\,\left(a^8\,d^2-a^7\,b\,d^2\right)}}+\ln\left(\frac{\left(\frac{\left(\frac{4194304\,d^2\,\left(512\,a^4-1184\,a^3\,b-253\,a\,b^3-b^4+930\,a^2\,b^2+b^4\,{\mathrm{e}}^{2\,c+2\,d\,x}+627\,a\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}+768\,a^3\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}-1392\,a^2\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^4\,b^2\,{\left(a-b\right)}^2}+\frac{8388608\,d^3\,\sqrt{-\frac{\sqrt{a^7\,b^5}-a^4\,b^2}{a^7\,d^2\,\left(a-b\right)}}\,\left(181\,a\,b^2-432\,a^2\,b+256\,a^3+5\,b^3-512\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-6\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-622\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1152\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^2\,b^3\,\left(a-b\right)}\right)\,\sqrt{-\frac{\sqrt{a^7\,b^5}-a^4\,b^2}{a^7\,d^2\,\left(a-b\right)}}}{4}+\frac{2097152\,d\,\left(176\,a\,b-256\,a^2+75\,b^2+1536\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-134\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-1408\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^5\,b\,\left(a-b\right)}\right)\,\sqrt{-\frac{\sqrt{a^7\,b^5}-a^4\,b^2}{a^7\,d^2\,\left(a-b\right)}}}{4}-\frac{524288\,\left(185\,a\,b^2-464\,a^2\,b+256\,a^3+24\,b^3-1024\,a^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-35\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}-988\,a\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+2048\,a^2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a^7\,{\left(a-b\right)}^2}\right)\,\sqrt{-\frac{\sqrt{a^7\,b^5}-a^4\,b^2}{16\,\left(a^8\,d^2-a^7\,b\,d^2\right)}}-\frac{4}{a\,d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\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)}","Not used",1,"log((((((4194304*d^2*(512*a^4 - 1184*a^3*b - 253*a*b^3 - b^4 + 930*a^2*b^2 + b^4*exp(2*c + 2*d*x) + 627*a*b^3*exp(2*c + 2*d*x) + 768*a^3*b*exp(2*c + 2*d*x) - 1392*a^2*b^2*exp(2*c + 2*d*x)))/(a^4*b^2*(a - b)^2) + (8388608*d^3*(((a^7*b^5)^(1/2) + a^4*b^2)/(a^7*d^2*(a - b)))^(1/2)*(181*a*b^2 - 432*a^2*b + 256*a^3 + 5*b^3 - 512*a^3*exp(2*c + 2*d*x) - 6*b^3*exp(2*c + 2*d*x) - 622*a*b^2*exp(2*c + 2*d*x) + 1152*a^2*b*exp(2*c + 2*d*x)))/(a^2*b^3*(a - b)))*(((a^7*b^5)^(1/2) + a^4*b^2)/(a^7*d^2*(a - b)))^(1/2))/4 + (2097152*d*(176*a*b - 256*a^2 + 75*b^2 + 1536*a^2*exp(2*c + 2*d*x) - 134*b^2*exp(2*c + 2*d*x) - 1408*a*b*exp(2*c + 2*d*x)))/(a^5*b*(a - b)))*(((a^7*b^5)^(1/2) + a^4*b^2)/(a^7*d^2*(a - b)))^(1/2))/4 - (524288*(185*a*b^2 - 464*a^2*b + 256*a^3 + 24*b^3 - 1024*a^3*exp(2*c + 2*d*x) - 35*b^3*exp(2*c + 2*d*x) - 988*a*b^2*exp(2*c + 2*d*x) + 2048*a^2*b*exp(2*c + 2*d*x)))/(a^7*(a - b)^2))*(((a^7*b^5)^(1/2) + a^4*b^2)/(16*(a^8*d^2 - a^7*b*d^2)))^(1/2) - log((((((4194304*d^2*(512*a^4 - 1184*a^3*b - 253*a*b^3 - b^4 + 930*a^2*b^2 + b^4*exp(2*c + 2*d*x) + 627*a*b^3*exp(2*c + 2*d*x) + 768*a^3*b*exp(2*c + 2*d*x) - 1392*a^2*b^2*exp(2*c + 2*d*x)))/(a^4*b^2*(a - b)^2) - (8388608*d^3*(((a^7*b^5)^(1/2) + a^4*b^2)/(a^7*d^2*(a - b)))^(1/2)*(181*a*b^2 - 432*a^2*b + 256*a^3 + 5*b^3 - 512*a^3*exp(2*c + 2*d*x) - 6*b^3*exp(2*c + 2*d*x) - 622*a*b^2*exp(2*c + 2*d*x) + 1152*a^2*b*exp(2*c + 2*d*x)))/(a^2*b^3*(a - b)))*(((a^7*b^5)^(1/2) + a^4*b^2)/(a^7*d^2*(a - b)))^(1/2))/4 - (2097152*d*(176*a*b - 256*a^2 + 75*b^2 + 1536*a^2*exp(2*c + 2*d*x) - 134*b^2*exp(2*c + 2*d*x) - 1408*a*b*exp(2*c + 2*d*x)))/(a^5*b*(a - b)))*(((a^7*b^5)^(1/2) + a^4*b^2)/(a^7*d^2*(a - b)))^(1/2))/4 - (524288*(185*a*b^2 - 464*a^2*b + 256*a^3 + 24*b^3 - 1024*a^3*exp(2*c + 2*d*x) - 35*b^3*exp(2*c + 2*d*x) - 988*a*b^2*exp(2*c + 2*d*x) + 2048*a^2*b*exp(2*c + 2*d*x)))/(a^7*(a - b)^2))*(((a^7*b^5)^(1/2) + a^4*b^2)/(16*(a^8*d^2 - a^7*b*d^2)))^(1/2) - log((((((4194304*d^2*(512*a^4 - 1184*a^3*b - 253*a*b^3 - b^4 + 930*a^2*b^2 + b^4*exp(2*c + 2*d*x) + 627*a*b^3*exp(2*c + 2*d*x) + 768*a^3*b*exp(2*c + 2*d*x) - 1392*a^2*b^2*exp(2*c + 2*d*x)))/(a^4*b^2*(a - b)^2) - (8388608*d^3*(-((a^7*b^5)^(1/2) - a^4*b^2)/(a^7*d^2*(a - b)))^(1/2)*(181*a*b^2 - 432*a^2*b + 256*a^3 + 5*b^3 - 512*a^3*exp(2*c + 2*d*x) - 6*b^3*exp(2*c + 2*d*x) - 622*a*b^2*exp(2*c + 2*d*x) + 1152*a^2*b*exp(2*c + 2*d*x)))/(a^2*b^3*(a - b)))*(-((a^7*b^5)^(1/2) - a^4*b^2)/(a^7*d^2*(a - b)))^(1/2))/4 - (2097152*d*(176*a*b - 256*a^2 + 75*b^2 + 1536*a^2*exp(2*c + 2*d*x) - 134*b^2*exp(2*c + 2*d*x) - 1408*a*b*exp(2*c + 2*d*x)))/(a^5*b*(a - b)))*(-((a^7*b^5)^(1/2) - a^4*b^2)/(a^7*d^2*(a - b)))^(1/2))/4 - (524288*(185*a*b^2 - 464*a^2*b + 256*a^3 + 24*b^3 - 1024*a^3*exp(2*c + 2*d*x) - 35*b^3*exp(2*c + 2*d*x) - 988*a*b^2*exp(2*c + 2*d*x) + 2048*a^2*b*exp(2*c + 2*d*x)))/(a^7*(a - b)^2))*(-((a^7*b^5)^(1/2) - a^4*b^2)/(16*(a^8*d^2 - a^7*b*d^2)))^(1/2) + log((((((4194304*d^2*(512*a^4 - 1184*a^3*b - 253*a*b^3 - b^4 + 930*a^2*b^2 + b^4*exp(2*c + 2*d*x) + 627*a*b^3*exp(2*c + 2*d*x) + 768*a^3*b*exp(2*c + 2*d*x) - 1392*a^2*b^2*exp(2*c + 2*d*x)))/(a^4*b^2*(a - b)^2) + (8388608*d^3*(-((a^7*b^5)^(1/2) - a^4*b^2)/(a^7*d^2*(a - b)))^(1/2)*(181*a*b^2 - 432*a^2*b + 256*a^3 + 5*b^3 - 512*a^3*exp(2*c + 2*d*x) - 6*b^3*exp(2*c + 2*d*x) - 622*a*b^2*exp(2*c + 2*d*x) + 1152*a^2*b*exp(2*c + 2*d*x)))/(a^2*b^3*(a - b)))*(-((a^7*b^5)^(1/2) - a^4*b^2)/(a^7*d^2*(a - b)))^(1/2))/4 + (2097152*d*(176*a*b - 256*a^2 + 75*b^2 + 1536*a^2*exp(2*c + 2*d*x) - 134*b^2*exp(2*c + 2*d*x) - 1408*a*b*exp(2*c + 2*d*x)))/(a^5*b*(a - b)))*(-((a^7*b^5)^(1/2) - a^4*b^2)/(a^7*d^2*(a - b)))^(1/2))/4 - (524288*(185*a*b^2 - 464*a^2*b + 256*a^3 + 24*b^3 - 1024*a^3*exp(2*c + 2*d*x) - 35*b^3*exp(2*c + 2*d*x) - 988*a*b^2*exp(2*c + 2*d*x) + 2048*a^2*b*exp(2*c + 2*d*x)))/(a^7*(a - b)^2))*(-((a^7*b^5)^(1/2) - a^4*b^2)/(16*(a^8*d^2 - a^7*b*d^2)))^(1/2) - 4/(a*d*(exp(4*c + 4*d*x) - 2*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))","B"
241,0,-1,235,0.000000,"\text{Not used}","int(sinh(c + d*x)^9/(a - b*sinh(c + d*x)^4)^2,x)","\int \frac{{\mathrm{sinh}\left(c+d\,x\right)}^9}{{\left(a-b\,{\mathrm{sinh}\left(c+d\,x\right)}^4\right)}^2} \,d x","Not used",1,"int(sinh(c + d*x)^9/(a - b*sinh(c + d*x)^4)^2, x)","F"
242,0,-1,210,0.000000,"\text{Not used}","int(sinh(c + d*x)^7/(a - b*sinh(c + d*x)^4)^2,x)","\int \frac{{\mathrm{sinh}\left(c+d\,x\right)}^7}{{\left(a-b\,{\mathrm{sinh}\left(c+d\,x\right)}^4\right)}^2} \,d x","Not used",1,"int(sinh(c + d*x)^7/(a - b*sinh(c + d*x)^4)^2, x)","F"
243,0,-1,217,0.000000,"\text{Not used}","int(sinh(c + d*x)^5/(a - b*sinh(c + d*x)^4)^2,x)","\int \frac{{\mathrm{sinh}\left(c+d\,x\right)}^5}{{\left(a-b\,{\mathrm{sinh}\left(c+d\,x\right)}^4\right)}^2} \,d x","Not used",1,"int(sinh(c + d*x)^5/(a - b*sinh(c + d*x)^4)^2, x)","F"
244,0,-1,186,0.000000,"\text{Not used}","int(sinh(c + d*x)^3/(a - b*sinh(c + d*x)^4)^2,x)","\int \frac{{\mathrm{sinh}\left(c+d\,x\right)}^3}{{\left(a-b\,{\mathrm{sinh}\left(c+d\,x\right)}^4\right)}^2} \,d x","Not used",1,"int(sinh(c + d*x)^3/(a - b*sinh(c + d*x)^4)^2, x)","F"
245,0,-1,221,0.000000,"\text{Not used}","int(sinh(c + d*x)/(a - b*sinh(c + d*x)^4)^2,x)","\int \frac{\mathrm{sinh}\left(c+d\,x\right)}{{\left(a-b\,{\mathrm{sinh}\left(c+d\,x\right)}^4\right)}^2} \,d x","Not used",1,"int(sinh(c + d*x)/(a - b*sinh(c + d*x)^4)^2, x)","F"
246,0,-1,325,0.000000,"\text{Not used}","int(1/(sinh(c + d*x)*(a - b*sinh(c + d*x)^4)^2),x)","\int \frac{1}{\mathrm{sinh}\left(c+d\,x\right)\,{\left(a-b\,{\mathrm{sinh}\left(c+d\,x\right)}^4\right)}^2} \,d x","Not used",1,"int(1/(sinh(c + d*x)*(a - b*sinh(c + d*x)^4)^2), x)","F"
247,0,-1,320,0.000000,"\text{Not used}","int(sinh(c + d*x)^8/(a - b*sinh(c + d*x)^4)^2,x)","\int \frac{{\mathrm{sinh}\left(c+d\,x\right)}^8}{{\left(a-b\,{\mathrm{sinh}\left(c+d\,x\right)}^4\right)}^2} \,d x","Not used",1,"int(sinh(c + d*x)^8/(a - b*sinh(c + d*x)^4)^2, x)","F"
248,0,-1,233,0.000000,"\text{Not used}","int(sinh(c + d*x)^6/(a - b*sinh(c + d*x)^4)^2,x)","\int \frac{{\mathrm{sinh}\left(c+d\,x\right)}^6}{{\left(a-b\,{\mathrm{sinh}\left(c+d\,x\right)}^4\right)}^2} \,d x","Not used",1,"int(sinh(c + d*x)^6/(a - b*sinh(c + d*x)^4)^2, x)","F"
249,0,-1,195,0.000000,"\text{Not used}","int(sinh(c + d*x)^4/(a - b*sinh(c + d*x)^4)^2,x)","\int \frac{{\mathrm{sinh}\left(c+d\,x\right)}^4}{{\left(a-b\,{\mathrm{sinh}\left(c+d\,x\right)}^4\right)}^2} \,d x","Not used",1,"int(sinh(c + d*x)^4/(a - b*sinh(c + d*x)^4)^2, x)","F"
250,0,-1,220,0.000000,"\text{Not used}","int(sinh(c + d*x)^2/(a - b*sinh(c + d*x)^4)^2,x)","\int \frac{{\mathrm{sinh}\left(c+d\,x\right)}^2}{{\left(a-b\,{\mathrm{sinh}\left(c+d\,x\right)}^4\right)}^2} \,d x","Not used",1,"int(sinh(c + d*x)^2/(a - b*sinh(c + d*x)^4)^2, x)","F"
251,0,-1,210,0.000000,"\text{Not used}","int(1/(a - b*sinh(c + d*x)^4)^2,x)","\int \frac{1}{{\left(a-b\,{\mathrm{sinh}\left(c+d\,x\right)}^4\right)}^2} \,d x","Not used",1,"int(1/(a - b*sinh(c + d*x)^4)^2, x)","F"
252,0,-1,237,0.000000,"\text{Not used}","int(1/(sinh(c + d*x)^2*(a - b*sinh(c + d*x)^4)^2),x)","\int \frac{1}{{\mathrm{sinh}\left(c+d\,x\right)}^2\,{\left(a-b\,{\mathrm{sinh}\left(c+d\,x\right)}^4\right)}^2} \,d x","Not used",1,"int(1/(sinh(c + d*x)^2*(a - b*sinh(c + d*x)^4)^2), x)","F"
253,0,-1,315,0.000000,"\text{Not used}","int(sinh(c + d*x)^9/(a - b*sinh(c + d*x)^4)^3,x)","\int \frac{{\mathrm{sinh}\left(c+d\,x\right)}^9}{{\left(a-b\,{\mathrm{sinh}\left(c+d\,x\right)}^4\right)}^3} \,d x","Not used",1,"int(sinh(c + d*x)^9/(a - b*sinh(c + d*x)^4)^3, x)","F"
254,0,-1,290,0.000000,"\text{Not used}","int(sinh(c + d*x)^7/(a - b*sinh(c + d*x)^4)^3,x)","\int \frac{{\mathrm{sinh}\left(c+d\,x\right)}^7}{{\left(a-b\,{\mathrm{sinh}\left(c+d\,x\right)}^4\right)}^3} \,d x","Not used",1,"int(sinh(c + d*x)^7/(a - b*sinh(c + d*x)^4)^3, x)","F"
255,0,-1,313,0.000000,"\text{Not used}","int(sinh(c + d*x)^5/(a - b*sinh(c + d*x)^4)^3,x)","\int \frac{{\mathrm{sinh}\left(c+d\,x\right)}^5}{{\left(a-b\,{\mathrm{sinh}\left(c+d\,x\right)}^4\right)}^3} \,d x","Not used",1,"int(sinh(c + d*x)^5/(a - b*sinh(c + d*x)^4)^3, x)","F"
256,0,-1,288,0.000000,"\text{Not used}","int(sinh(c + d*x)^3/(a - b*sinh(c + d*x)^4)^3,x)","\int \frac{{\mathrm{sinh}\left(c+d\,x\right)}^3}{{\left(a-b\,{\mathrm{sinh}\left(c+d\,x\right)}^4\right)}^3} \,d x","Not used",1,"int(sinh(c + d*x)^3/(a - b*sinh(c + d*x)^4)^3, x)","F"
257,0,-1,313,0.000000,"\text{Not used}","int(sinh(c + d*x)/(a - b*sinh(c + d*x)^4)^3,x)","\int \frac{\mathrm{sinh}\left(c+d\,x\right)}{{\left(a-b\,{\mathrm{sinh}\left(c+d\,x\right)}^4\right)}^3} \,d x","Not used",1,"int(sinh(c + d*x)/(a - b*sinh(c + d*x)^4)^3, x)","F"
258,0,-1,617,0.000000,"\text{Not used}","int(1/(sinh(c + d*x)*(a - b*sinh(c + d*x)^4)^3),x)","\int \frac{1}{\mathrm{sinh}\left(c+d\,x\right)\,{\left(a-b\,{\mathrm{sinh}\left(c+d\,x\right)}^4\right)}^3} \,d x","Not used",1,"int(1/(sinh(c + d*x)*(a - b*sinh(c + d*x)^4)^3), x)","F"
259,0,-1,319,0.000000,"\text{Not used}","int(sinh(c + d*x)^8/(a - b*sinh(c + d*x)^4)^3,x)","\int \frac{{\mathrm{sinh}\left(c+d\,x\right)}^8}{{\left(a-b\,{\mathrm{sinh}\left(c+d\,x\right)}^4\right)}^3} \,d x","Not used",1,"int(sinh(c + d*x)^8/(a - b*sinh(c + d*x)^4)^3, x)","F"
260,0,-1,345,0.000000,"\text{Not used}","int(sinh(c + d*x)^6/(a - b*sinh(c + d*x)^4)^3,x)","\int \frac{{\mathrm{sinh}\left(c+d\,x\right)}^6}{{\left(a-b\,{\mathrm{sinh}\left(c+d\,x\right)}^4\right)}^3} \,d x","Not used",1,"int(sinh(c + d*x)^6/(a - b*sinh(c + d*x)^4)^3, x)","F"
261,0,-1,314,0.000000,"\text{Not used}","int(sinh(c + d*x)^4/(a - b*sinh(c + d*x)^4)^3,x)","\int \frac{{\mathrm{sinh}\left(c+d\,x\right)}^4}{{\left(a-b\,{\mathrm{sinh}\left(c+d\,x\right)}^4\right)}^3} \,d x","Not used",1,"int(sinh(c + d*x)^4/(a - b*sinh(c + d*x)^4)^3, x)","F"
262,0,-1,348,0.000000,"\text{Not used}","int(sinh(c + d*x)^2/(a - b*sinh(c + d*x)^4)^3,x)","\int \frac{{\mathrm{sinh}\left(c+d\,x\right)}^2}{{\left(a-b\,{\mathrm{sinh}\left(c+d\,x\right)}^4\right)}^3} \,d x","Not used",1,"int(sinh(c + d*x)^2/(a - b*sinh(c + d*x)^4)^3, x)","F"
263,0,-1,320,0.000000,"\text{Not used}","int(1/(a - b*sinh(c + d*x)^4)^3,x)","\int \frac{1}{{\left(a-b\,{\mathrm{sinh}\left(c+d\,x\right)}^4\right)}^3} \,d x","Not used",1,"int(1/(a - b*sinh(c + d*x)^4)^3, x)","F"
264,0,-1,359,0.000000,"\text{Not used}","int(1/(sinh(c + d*x)^2*(a - b*sinh(c + d*x)^4)^3),x)","\int \frac{1}{{\mathrm{sinh}\left(c+d\,x\right)}^2\,{\left(a-b\,{\mathrm{sinh}\left(c+d\,x\right)}^4\right)}^3} \,d x","Not used",1,"int(1/(sinh(c + d*x)^2*(a - b*sinh(c + d*x)^4)^3), x)","F"
265,1,63,25,0.156345,"\text{Not used}","int(-1/(sinh(x)^4 - 1),x)","\frac{\sqrt{2}\,\ln\left(2\,{\mathrm{e}}^{2\,x}+\frac{\sqrt{2}\,\left(12\,{\mathrm{e}}^{2\,x}-4\right)}{8}\right)}{8}-\frac{\sqrt{2}\,\ln\left(2\,{\mathrm{e}}^{2\,x}-\frac{\sqrt{2}\,\left(12\,{\mathrm{e}}^{2\,x}-4\right)}{8}\right)}{8}-\frac{1}{{\mathrm{e}}^{2\,x}+1}","Not used",1,"(2^(1/2)*log(2*exp(2*x) + (2^(1/2)*(12*exp(2*x) - 4))/8))/8 - (2^(1/2)*log(2*exp(2*x) - (2^(1/2)*(12*exp(2*x) - 4))/8))/8 - 1/(exp(2*x) + 1)","B"
266,1,205,176,1.152179,"\text{Not used}","int(1/(sinh(x)^4 + 1),x)","-\frac{\sqrt{2}\,\sqrt{1-\mathrm{i}}\,\ln\left({\mathrm{e}}^{2\,x}\,\left(436273152+91291648{}\mathrm{i}\right)+\sqrt{2}\,\sqrt{1-\mathrm{i}}\,\left(-9830400+56623104{}\mathrm{i}\right)+\sqrt{2}\,\sqrt{1-\mathrm{i}}\,{\mathrm{e}}^{2\,x}\,\left(-218890240-149422080{}\mathrm{i}\right)-21168128-94306304{}\mathrm{i}\right)}{8}+\frac{\sqrt{2}\,\sqrt{1-\mathrm{i}}\,\ln\left({\mathrm{e}}^{2\,x}\,\left(436273152+91291648{}\mathrm{i}\right)+\sqrt{2}\,\sqrt{1-\mathrm{i}}\,\left(9830400-56623104{}\mathrm{i}\right)+\sqrt{2}\,\sqrt{1-\mathrm{i}}\,{\mathrm{e}}^{2\,x}\,\left(218890240+149422080{}\mathrm{i}\right)-21168128-94306304{}\mathrm{i}\right)}{8}-\frac{\sqrt{2}\,\sqrt{1+1{}\mathrm{i}}\,\ln\left({\mathrm{e}}^{2\,x}\,\left(436273152-91291648{}\mathrm{i}\right)+\sqrt{2}\,\sqrt{1+1{}\mathrm{i}}\,\left(-9830400-56623104{}\mathrm{i}\right)+\sqrt{2}\,\sqrt{1+1{}\mathrm{i}}\,{\mathrm{e}}^{2\,x}\,\left(-218890240+149422080{}\mathrm{i}\right)-21168128+94306304{}\mathrm{i}\right)}{8}+\frac{\sqrt{2}\,\sqrt{1+1{}\mathrm{i}}\,\ln\left({\mathrm{e}}^{2\,x}\,\left(436273152-91291648{}\mathrm{i}\right)+\sqrt{2}\,\sqrt{1+1{}\mathrm{i}}\,\left(9830400+56623104{}\mathrm{i}\right)+\sqrt{2}\,\sqrt{1+1{}\mathrm{i}}\,{\mathrm{e}}^{2\,x}\,\left(218890240-149422080{}\mathrm{i}\right)-21168128+94306304{}\mathrm{i}\right)}{8}","Not used",1,"(2^(1/2)*(1 - 1i)^(1/2)*log(exp(2*x)*(436273152 + 91291648i) + 2^(1/2)*(1 - 1i)^(1/2)*(9830400 - 56623104i) + 2^(1/2)*(1 - 1i)^(1/2)*exp(2*x)*(218890240 + 149422080i) - (21168128 + 94306304i)))/8 - (2^(1/2)*(1 - 1i)^(1/2)*log(exp(2*x)*(436273152 + 91291648i) - 2^(1/2)*(1 - 1i)^(1/2)*(9830400 - 56623104i) - 2^(1/2)*(1 - 1i)^(1/2)*exp(2*x)*(218890240 + 149422080i) - (21168128 + 94306304i)))/8 - (2^(1/2)*(1 + 1i)^(1/2)*log(exp(2*x)*(436273152 - 91291648i) - 2^(1/2)*(1 + 1i)^(1/2)*(9830400 + 56623104i) - 2^(1/2)*(1 + 1i)^(1/2)*exp(2*x)*(218890240 - 149422080i) - (21168128 - 94306304i)))/8 + (2^(1/2)*(1 + 1i)^(1/2)*log(exp(2*x)*(436273152 - 91291648i) + 2^(1/2)*(1 + 1i)^(1/2)*(9830400 + 56623104i) + 2^(1/2)*(1 + 1i)^(1/2)*exp(2*x)*(218890240 - 149422080i) - (21168128 - 94306304i)))/8","B"
267,-1,-1,435,0.000000,"\text{Not used}","int(1/(a + b*sinh(x)^5),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
268,1,857,175,58.563799,"\text{Not used}","int(1/(a + b*sinh(x)^6),x)","\sum _{k=1}^6\ln\left(\mathrm{root}\left(46656\,a^5\,b\,d^6-46656\,a^6\,d^6+3888\,a^4\,d^4-108\,a^2\,d^2+1,d,k\right)\,\left(\mathrm{root}\left(46656\,a^5\,b\,d^6-46656\,a^6\,d^6+3888\,a^4\,d^4-108\,a^2\,d^2+1,d,k\right)\,\left(\mathrm{root}\left(46656\,a^5\,b\,d^6-46656\,a^6\,d^6+3888\,a^4\,d^4-108\,a^2\,d^2+1,d,k\right)\,\left(\mathrm{root}\left(46656\,a^5\,b\,d^6-46656\,a^6\,d^6+3888\,a^4\,d^4-108\,a^2\,d^2+1,d,k\right)\,\left(\frac{1459166279268040704\,\left(327680\,a^7\,{\mathrm{e}}^{2\,x}+298496\,a^6\,b-65536\,a^7+158\,a^2\,b^5-91315\,a^3\,b^4+348176\,a^4\,b^3-489952\,a^5\,b^2-196\,a^2\,b^5\,{\mathrm{e}}^{2\,x}+274019\,a^3\,b^4\,{\mathrm{e}}^{2\,x}-1132876\,a^4\,b^3\,{\mathrm{e}}^{2\,x}+1770440\,a^5\,b^2\,{\mathrm{e}}^{2\,x}-1239040\,a^6\,b\,{\mathrm{e}}^{2\,x}\right)}{b^{10}\,{\left(a-b\right)}^3}+\frac{\mathrm{root}\left(46656\,a^5\,b\,d^6-46656\,a^6\,d^6+3888\,a^4\,d^4-108\,a^2\,d^2+1,d,k\right)\,\left(262144\,a^7\,{\mathrm{e}}^{2\,x}+203520\,a^6\,b-65536\,a^7-453\,a^3\,b^4+72022\,a^4\,b^3-209472\,a^5\,b^2+630\,a^3\,b^4\,{\mathrm{e}}^{2\,x}-254512\,a^4\,b^3\,{\mathrm{e}}^{2\,x}+767508\,a^5\,b^2\,{\mathrm{e}}^{2\,x}-775680\,a^6\,b\,{\mathrm{e}}^{2\,x}\right)\,17509995351216488448}{b^{10}\,{\left(a-b\right)}^2}\right)-\frac{486388759756013568\,\left(655360\,a^5\,{\mathrm{e}}^{2\,x}+9\,a\,b^4+370176\,a^4\,b-196608\,a^5-24408\,a^2\,b^3-149088\,a^3\,b^2+63676\,a^2\,b^3\,{\mathrm{e}}^{2\,x}+526248\,a^3\,b^2\,{\mathrm{e}}^{2\,x}-10\,a\,b^4\,{\mathrm{e}}^{2\,x}-1245184\,a^4\,b\,{\mathrm{e}}^{2\,x}\right)}{b^{10}\,{\left(a-b\right)}^2}\right)-\frac{40532396646334464\,\left(655360\,a^5\,{\mathrm{e}}^{2\,x}+b^5\,{\mathrm{e}}^{2\,x}+24677\,a\,b^4+773120\,a^4\,b-262144\,a^5-b^5+198071\,a^2\,b^3-733696\,a^3\,b^2-477713\,a^2\,b^3\,{\mathrm{e}}^{2\,x}+1770640\,a^3\,b^2\,{\mathrm{e}}^{2\,x}-53861\,a\,b^4\,{\mathrm{e}}^{2\,x}-1894400\,a^4\,b\,{\mathrm{e}}^{2\,x}\right)}{b^{10}\,{\left(a-b\right)}^3}\right)+\frac{13510798882111488\,\left(655360\,a^3\,{\mathrm{e}}^{2\,x}-11382\,b^3\,{\mathrm{e}}^{2\,x}-144416\,a\,b^2+269056\,a^2\,b-131072\,a^3+6459\,b^3+677524\,a\,b^2\,{\mathrm{e}}^{2\,x}-1321472\,a^2\,b\,{\mathrm{e}}^{2\,x}\right)}{b^{10}\,{\left(a-b\right)}^2}\right)-\frac{1125899906842624\,\left(851968\,a^4\,{\mathrm{e}}^{2\,x}+6006\,b^4\,{\mathrm{e}}^{2\,x}+211497\,a\,b^3+597504\,a^3\,b-196608\,a^4-3840\,b^4-608544\,a^2\,b^2+2562504\,a^2\,b^2\,{\mathrm{e}}^{2\,x}-864565\,a\,b^3\,{\mathrm{e}}^{2\,x}-2555904\,a^3\,b\,{\mathrm{e}}^{2\,x}\right)}{b^{10}\,{\left(a-b\right)}^2\,\left(a\,b-a^2\right)}\right)\,\mathrm{root}\left(46656\,a^5\,b\,d^6-46656\,a^6\,d^6+3888\,a^4\,d^4-108\,a^2\,d^2+1,d,k\right)","Not used",1,"symsum(log(root(46656*a^5*b*d^6 - 46656*a^6*d^6 + 3888*a^4*d^4 - 108*a^2*d^2 + 1, d, k)*(root(46656*a^5*b*d^6 - 46656*a^6*d^6 + 3888*a^4*d^4 - 108*a^2*d^2 + 1, d, k)*(root(46656*a^5*b*d^6 - 46656*a^6*d^6 + 3888*a^4*d^4 - 108*a^2*d^2 + 1, d, k)*(root(46656*a^5*b*d^6 - 46656*a^6*d^6 + 3888*a^4*d^4 - 108*a^2*d^2 + 1, d, k)*((1459166279268040704*(327680*a^7*exp(2*x) + 298496*a^6*b - 65536*a^7 + 158*a^2*b^5 - 91315*a^3*b^4 + 348176*a^4*b^3 - 489952*a^5*b^2 - 196*a^2*b^5*exp(2*x) + 274019*a^3*b^4*exp(2*x) - 1132876*a^4*b^3*exp(2*x) + 1770440*a^5*b^2*exp(2*x) - 1239040*a^6*b*exp(2*x)))/(b^10*(a - b)^3) + (17509995351216488448*root(46656*a^5*b*d^6 - 46656*a^6*d^6 + 3888*a^4*d^4 - 108*a^2*d^2 + 1, d, k)*(262144*a^7*exp(2*x) + 203520*a^6*b - 65536*a^7 - 453*a^3*b^4 + 72022*a^4*b^3 - 209472*a^5*b^2 + 630*a^3*b^4*exp(2*x) - 254512*a^4*b^3*exp(2*x) + 767508*a^5*b^2*exp(2*x) - 775680*a^6*b*exp(2*x)))/(b^10*(a - b)^2)) - (486388759756013568*(655360*a^5*exp(2*x) + 9*a*b^4 + 370176*a^4*b - 196608*a^5 - 24408*a^2*b^3 - 149088*a^3*b^2 + 63676*a^2*b^3*exp(2*x) + 526248*a^3*b^2*exp(2*x) - 10*a*b^4*exp(2*x) - 1245184*a^4*b*exp(2*x)))/(b^10*(a - b)^2)) - (40532396646334464*(655360*a^5*exp(2*x) + b^5*exp(2*x) + 24677*a*b^4 + 773120*a^4*b - 262144*a^5 - b^5 + 198071*a^2*b^3 - 733696*a^3*b^2 - 477713*a^2*b^3*exp(2*x) + 1770640*a^3*b^2*exp(2*x) - 53861*a*b^4*exp(2*x) - 1894400*a^4*b*exp(2*x)))/(b^10*(a - b)^3)) + (13510798882111488*(655360*a^3*exp(2*x) - 11382*b^3*exp(2*x) - 144416*a*b^2 + 269056*a^2*b - 131072*a^3 + 6459*b^3 + 677524*a*b^2*exp(2*x) - 1321472*a^2*b*exp(2*x)))/(b^10*(a - b)^2)) - (1125899906842624*(851968*a^4*exp(2*x) + 6006*b^4*exp(2*x) + 211497*a*b^3 + 597504*a^3*b - 196608*a^4 - 3840*b^4 - 608544*a^2*b^2 + 2562504*a^2*b^2*exp(2*x) - 864565*a*b^3*exp(2*x) - 2555904*a^3*b*exp(2*x)))/(b^10*(a - b)^2*(a*b - a^2)))*root(46656*a^5*b*d^6 - 46656*a^6*d^6 + 3888*a^4*d^4 - 108*a^2*d^2 + 1, d, k), k, 1, 6)","B"
269,-1,-1,245,0.000000,"\text{Not used}","int(1/(a + b*sinh(x)^8),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
270,-1,-1,242,0.000000,"\text{Not used}","int(1/(sinh(x)^5 + 1),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
271,1,325,71,4.209479,"\text{Not used}","int(1/(sinh(x)^6 + 1),x)","-\ln\left(\frac{1061158912\,{\mathrm{e}}^{2\,x}}{27}+\sqrt{\frac{1}{72}-\frac{\sqrt{3}\,1{}\mathrm{i}}{216}}\,\left(\frac{548405248}{27}+\sqrt{\frac{1}{72}-\frac{\sqrt{3}\,1{}\mathrm{i}}{216}}\,\left(\frac{3870294016}{9}+\sqrt{\frac{1}{72}-\frac{\sqrt{3}\,1{}\mathrm{i}}{216}}\,\left(19788726272\,{\mathrm{e}}^{2\,x}-2864709632\right)-\frac{21515730944\,{\mathrm{e}}^{2\,x}}{9}\right)-\frac{2539651072\,{\mathrm{e}}^{2\,x}}{9}\right)-\frac{351797248}{81}\right)\,\sqrt{\frac{1}{72}-\frac{\sqrt{3}\,1{}\mathrm{i}}{216}}-\ln\left(\frac{1061158912\,{\mathrm{e}}^{2\,x}}{27}+\sqrt{\frac{1}{72}+\frac{\sqrt{3}\,1{}\mathrm{i}}{216}}\,\left(\frac{548405248}{27}+\sqrt{\frac{1}{72}+\frac{\sqrt{3}\,1{}\mathrm{i}}{216}}\,\left(\frac{3870294016}{9}+\sqrt{\frac{1}{72}+\frac{\sqrt{3}\,1{}\mathrm{i}}{216}}\,\left(19788726272\,{\mathrm{e}}^{2\,x}-2864709632\right)-\frac{21515730944\,{\mathrm{e}}^{2\,x}}{9}\right)-\frac{2539651072\,{\mathrm{e}}^{2\,x}}{9}\right)-\frac{351797248}{81}\right)\,\sqrt{\frac{1}{72}+\frac{\sqrt{3}\,1{}\mathrm{i}}{216}}+\ln\left(\frac{1061158912\,{\mathrm{e}}^{2\,x}}{27}-\sqrt{\frac{1}{72}-\frac{\sqrt{3}\,1{}\mathrm{i}}{216}}\,\left(\frac{548405248}{27}+\sqrt{\frac{1}{72}-\frac{\sqrt{3}\,1{}\mathrm{i}}{216}}\,\left(\frac{21515730944\,{\mathrm{e}}^{2\,x}}{9}+\sqrt{\frac{1}{72}-\frac{\sqrt{3}\,1{}\mathrm{i}}{216}}\,\left(19788726272\,{\mathrm{e}}^{2\,x}-2864709632\right)-\frac{3870294016}{9}\right)-\frac{2539651072\,{\mathrm{e}}^{2\,x}}{9}\right)-\frac{351797248}{81}\right)\,\sqrt{\frac{1}{72}-\frac{\sqrt{3}\,1{}\mathrm{i}}{216}}+\ln\left(\frac{1061158912\,{\mathrm{e}}^{2\,x}}{27}-\sqrt{\frac{1}{72}+\frac{\sqrt{3}\,1{}\mathrm{i}}{216}}\,\left(\frac{548405248}{27}+\sqrt{\frac{1}{72}+\frac{\sqrt{3}\,1{}\mathrm{i}}{216}}\,\left(\frac{21515730944\,{\mathrm{e}}^{2\,x}}{9}+\sqrt{\frac{1}{72}+\frac{\sqrt{3}\,1{}\mathrm{i}}{216}}\,\left(19788726272\,{\mathrm{e}}^{2\,x}-2864709632\right)-\frac{3870294016}{9}\right)-\frac{2539651072\,{\mathrm{e}}^{2\,x}}{9}\right)-\frac{351797248}{81}\right)\,\sqrt{\frac{1}{72}+\frac{\sqrt{3}\,1{}\mathrm{i}}{216}}-\frac{2}{3\,\left({\mathrm{e}}^{2\,x}+1\right)}","Not used",1,"log((1061158912*exp(2*x))/27 - (1/72 - (3^(1/2)*1i)/216)^(1/2)*((1/72 - (3^(1/2)*1i)/216)^(1/2)*((21515730944*exp(2*x))/9 + (1/72 - (3^(1/2)*1i)/216)^(1/2)*(19788726272*exp(2*x) - 2864709632) - 3870294016/9) - (2539651072*exp(2*x))/9 + 548405248/27) - 351797248/81)*(1/72 - (3^(1/2)*1i)/216)^(1/2) - log((1061158912*exp(2*x))/27 + ((3^(1/2)*1i)/216 + 1/72)^(1/2)*(((3^(1/2)*1i)/216 + 1/72)^(1/2)*(((3^(1/2)*1i)/216 + 1/72)^(1/2)*(19788726272*exp(2*x) - 2864709632) - (21515730944*exp(2*x))/9 + 3870294016/9) - (2539651072*exp(2*x))/9 + 548405248/27) - 351797248/81)*((3^(1/2)*1i)/216 + 1/72)^(1/2) - log((1061158912*exp(2*x))/27 + (1/72 - (3^(1/2)*1i)/216)^(1/2)*((1/72 - (3^(1/2)*1i)/216)^(1/2)*((1/72 - (3^(1/2)*1i)/216)^(1/2)*(19788726272*exp(2*x) - 2864709632) - (21515730944*exp(2*x))/9 + 3870294016/9) - (2539651072*exp(2*x))/9 + 548405248/27) - 351797248/81)*(1/72 - (3^(1/2)*1i)/216)^(1/2) + log((1061158912*exp(2*x))/27 - ((3^(1/2)*1i)/216 + 1/72)^(1/2)*(((3^(1/2)*1i)/216 + 1/72)^(1/2)*((21515730944*exp(2*x))/9 + ((3^(1/2)*1i)/216 + 1/72)^(1/2)*(19788726272*exp(2*x) - 2864709632) - 3870294016/9) - (2539651072*exp(2*x))/9 + 548405248/27) - 351797248/81)*((3^(1/2)*1i)/216 + 1/72)^(1/2) - 2/(3*(exp(2*x) + 1))","B"
272,-1,-1,129,0.000000,"\text{Not used}","int(1/(sinh(x)^8 + 1),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
273,-1,-1,228,0.000000,"\text{Not used}","int(-1/(sinh(x)^5 - 1),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
274,1,285,83,2.706945,"\text{Not used}","int(-1/(sinh(x)^6 - 1),x)","\frac{\mathrm{atan}\left(\frac{14009449395540459520\,{\mathrm{e}}^{2\,x}-955607545932677120\,\sqrt{3}+8088359377641144320\,\sqrt{3}\,{\mathrm{e}}^{2\,x}-1655160823988879360}{6177144285775790080\,{\mathrm{e}}^{2\,x}+2167269359741829120\,\sqrt{3}+3566375915854233600\,\sqrt{3}\,{\mathrm{e}}^{2\,x}+3753820658157486080}\right)}{6}-\frac{\sqrt{3}\,\ln\left({\left(6177144285775790080\,{\mathrm{e}}^{2\,x}-2167269359741829120\,\sqrt{3}-3566375915854233600\,\sqrt{3}\,{\mathrm{e}}^{2\,x}+3753820658157486080\right)}^2+{\left(14009449395540459520\,{\mathrm{e}}^{2\,x}+955607545932677120\,\sqrt{3}-8088359377641144320\,\sqrt{3}\,{\mathrm{e}}^{2\,x}-1655160823988879360\right)}^2\right)}{12}+\frac{\sqrt{3}\,\ln\left({\left(6177144285775790080\,{\mathrm{e}}^{2\,x}+2167269359741829120\,\sqrt{3}+3566375915854233600\,\sqrt{3}\,{\mathrm{e}}^{2\,x}+3753820658157486080\right)}^2+{\left(14009449395540459520\,{\mathrm{e}}^{2\,x}-955607545932677120\,\sqrt{3}+8088359377641144320\,\sqrt{3}\,{\mathrm{e}}^{2\,x}-1655160823988879360\right)}^2\right)}{12}+\frac{\sqrt{2}\,\ln\left(17674880313941032960\,{\mathrm{e}}^{2\,x}-2144322552070144000\,\sqrt{2}+12498027726650736640\,\sqrt{2}\,{\mathrm{e}}^{2\,x}-3032530035220152320\right)}{12}-\frac{\sqrt{2}\,\ln\left(17674880313941032960\,{\mathrm{e}}^{2\,x}+2144322552070144000\,\sqrt{2}-12498027726650736640\,\sqrt{2}\,{\mathrm{e}}^{2\,x}-3032530035220152320\right)}{12}-\frac{\ln\left({\mathrm{e}}^{2\,x}\,\left(14009449395540459520-6177144285775790080{}\mathrm{i}\right)+\sqrt{3}\,\left(955607545932677120+2167269359741829120{}\mathrm{i}\right)+\sqrt{3}\,{\mathrm{e}}^{2\,x}\,\left(-8088359377641144320+3566375915854233600{}\mathrm{i}\right)-1655160823988879360-3753820658157486080{}\mathrm{i}\right)\,1{}\mathrm{i}}{12}+\frac{\ln\left({\mathrm{e}}^{2\,x}\,\left(14009449395540459520+6177144285775790080{}\mathrm{i}\right)+\sqrt{3}\,\left(955607545932677120-2167269359741829120{}\mathrm{i}\right)+\sqrt{3}\,{\mathrm{e}}^{2\,x}\,\left(-8088359377641144320-3566375915854233600{}\mathrm{i}\right)-1655160823988879360+3753820658157486080{}\mathrm{i}\right)\,1{}\mathrm{i}}{12}","Not used",1,"(log(exp(2*x)*(14009449395540459520 + 6177144285775790080i) + 3^(1/2)*(955607545932677120 - 2167269359741829120i) - 3^(1/2)*exp(2*x)*(8088359377641144320 + 3566375915854233600i) - (1655160823988879360 - 3753820658157486080i))*1i)/12 - (log(exp(2*x)*(14009449395540459520 - 6177144285775790080i) + 3^(1/2)*(955607545932677120 + 2167269359741829120i) - 3^(1/2)*exp(2*x)*(8088359377641144320 - 3566375915854233600i) - (1655160823988879360 + 3753820658157486080i))*1i)/12 + atan((14009449395540459520*exp(2*x) - 955607545932677120*3^(1/2) + 8088359377641144320*3^(1/2)*exp(2*x) - 1655160823988879360)/(6177144285775790080*exp(2*x) + 2167269359741829120*3^(1/2) + 3566375915854233600*3^(1/2)*exp(2*x) + 3753820658157486080))/6 - (3^(1/2)*log((6177144285775790080*exp(2*x) - 2167269359741829120*3^(1/2) - 3566375915854233600*3^(1/2)*exp(2*x) + 3753820658157486080)^2 + (14009449395540459520*exp(2*x) + 955607545932677120*3^(1/2) - 8088359377641144320*3^(1/2)*exp(2*x) - 1655160823988879360)^2))/12 + (3^(1/2)*log((6177144285775790080*exp(2*x) + 2167269359741829120*3^(1/2) + 3566375915854233600*3^(1/2)*exp(2*x) + 3753820658157486080)^2 + (14009449395540459520*exp(2*x) - 955607545932677120*3^(1/2) + 8088359377641144320*3^(1/2)*exp(2*x) - 1655160823988879360)^2))/12 + (2^(1/2)*log(17674880313941032960*exp(2*x) - 2144322552070144000*2^(1/2) + 12498027726650736640*2^(1/2)*exp(2*x) - 3032530035220152320))/12 - (2^(1/2)*log(17674880313941032960*exp(2*x) + 2144322552070144000*2^(1/2) - 12498027726650736640*2^(1/2)*exp(2*x) - 3032530035220152320))/12","B"
275,1,273,69,4.814371,"\text{Not used}","int(-1/(sinh(x)^8 - 1),x)","\frac{\sqrt{2}\,\ln\left(582732658686033920\,{\mathrm{e}}^{2\,x}-70697326355677184\,\sqrt{2}+412054214575915008\,\sqrt{2}\,{\mathrm{e}}^{2\,x}-99981117754441728\right)}{16}-\frac{\sqrt{2}\,\ln\left(582732658686033920\,{\mathrm{e}}^{2\,x}+70697326355677184\,\sqrt{2}-412054214575915008\,\sqrt{2}\,{\mathrm{e}}^{2\,x}-99981117754441728\right)}{16}-\frac{1}{2\,\left({\mathrm{e}}^{2\,x}+1\right)}-\frac{\sqrt{2}\,\sqrt{1-\mathrm{i}}\,\ln\left({\mathrm{e}}^{2\,x}\,\left(155613434002538496+429723297714798592{}\mathrm{i}\right)+\sqrt{2}\,\sqrt{1-\mathrm{i}}\,\left(-54684829282729984+21956972328779776{}\mathrm{i}\right)+\sqrt{2}\,\sqrt{1-\mathrm{i}}\,{\mathrm{e}}^{2\,x}\,\left(12296353929494528-271474128182050816{}\mathrm{i}\right)+70836483296067584-69311013991743488{}\mathrm{i}\right)}{16}+\frac{\sqrt{2}\,\sqrt{1-\mathrm{i}}\,\ln\left({\mathrm{e}}^{2\,x}\,\left(155613434002538496+429723297714798592{}\mathrm{i}\right)+\sqrt{2}\,\sqrt{1-\mathrm{i}}\,\left(54684829282729984-21956972328779776{}\mathrm{i}\right)+\sqrt{2}\,\sqrt{1-\mathrm{i}}\,{\mathrm{e}}^{2\,x}\,\left(-12296353929494528+271474128182050816{}\mathrm{i}\right)+70836483296067584-69311013991743488{}\mathrm{i}\right)}{16}-\frac{\sqrt{2}\,\sqrt{1+1{}\mathrm{i}}\,\ln\left({\mathrm{e}}^{2\,x}\,\left(155613434002538496-429723297714798592{}\mathrm{i}\right)+\sqrt{2}\,\sqrt{1+1{}\mathrm{i}}\,\left(-54684829282729984-21956972328779776{}\mathrm{i}\right)+\sqrt{2}\,\sqrt{1+1{}\mathrm{i}}\,{\mathrm{e}}^{2\,x}\,\left(12296353929494528+271474128182050816{}\mathrm{i}\right)+70836483296067584+69311013991743488{}\mathrm{i}\right)}{16}+\frac{\sqrt{2}\,\sqrt{1+1{}\mathrm{i}}\,\ln\left({\mathrm{e}}^{2\,x}\,\left(155613434002538496-429723297714798592{}\mathrm{i}\right)+\sqrt{2}\,\sqrt{1+1{}\mathrm{i}}\,\left(54684829282729984+21956972328779776{}\mathrm{i}\right)+\sqrt{2}\,\sqrt{1+1{}\mathrm{i}}\,{\mathrm{e}}^{2\,x}\,\left(-12296353929494528-271474128182050816{}\mathrm{i}\right)+70836483296067584+69311013991743488{}\mathrm{i}\right)}{16}","Not used",1,"(2^(1/2)*log(582732658686033920*exp(2*x) - 70697326355677184*2^(1/2) + 412054214575915008*2^(1/2)*exp(2*x) - 99981117754441728))/16 - (2^(1/2)*log(582732658686033920*exp(2*x) + 70697326355677184*2^(1/2) - 412054214575915008*2^(1/2)*exp(2*x) - 99981117754441728))/16 - 1/(2*(exp(2*x) + 1)) - (2^(1/2)*(1 - 1i)^(1/2)*log(exp(2*x)*(155613434002538496 + 429723297714798592i) - 2^(1/2)*(1 - 1i)^(1/2)*(54684829282729984 - 21956972328779776i) + 2^(1/2)*(1 - 1i)^(1/2)*exp(2*x)*(12296353929494528 - 271474128182050816i) + (70836483296067584 - 69311013991743488i)))/16 + (2^(1/2)*(1 - 1i)^(1/2)*log(exp(2*x)*(155613434002538496 + 429723297714798592i) + 2^(1/2)*(1 - 1i)^(1/2)*(54684829282729984 - 21956972328779776i) - 2^(1/2)*(1 - 1i)^(1/2)*exp(2*x)*(12296353929494528 - 271474128182050816i) + (70836483296067584 - 69311013991743488i)))/16 - (2^(1/2)*(1 + 1i)^(1/2)*log(exp(2*x)*(155613434002538496 - 429723297714798592i) - 2^(1/2)*(1 + 1i)^(1/2)*(54684829282729984 + 21956972328779776i) + 2^(1/2)*(1 + 1i)^(1/2)*exp(2*x)*(12296353929494528 + 271474128182050816i) + (70836483296067584 + 69311013991743488i)))/16 + (2^(1/2)*(1 + 1i)^(1/2)*log(exp(2*x)*(155613434002538496 - 429723297714798592i) + 2^(1/2)*(1 + 1i)^(1/2)*(54684829282729984 + 21956972328779776i) - 2^(1/2)*(1 + 1i)^(1/2)*exp(2*x)*(12296353929494528 + 271474128182050816i) + (70836483296067584 + 69311013991743488i)))/16","B"
276,1,35,18,1.363719,"\text{Not used}","int(cosh(x)^5/(a + a*sinh(x)^2),x)","\frac{{\mathrm{e}}^{3\,x}}{24\,a}-\frac{{\mathrm{e}}^{-3\,x}}{24\,a}-\frac{3\,{\mathrm{e}}^{-x}}{8\,a}+\frac{3\,{\mathrm{e}}^x}{8\,a}","Not used",1,"exp(3*x)/(24*a) - exp(-3*x)/(24*a) - (3*exp(-x))/(8*a) + (3*exp(x))/(8*a)","B"
277,1,25,20,1.325041,"\text{Not used}","int(cosh(x)^4/(a + a*sinh(x)^2),x)","\frac{{\mathrm{e}}^{2\,x}}{8\,a}-\frac{{\mathrm{e}}^{-2\,x}}{8\,a}+\frac{x}{2\,a}","Not used",1,"exp(2*x)/(8*a) - exp(-2*x)/(8*a) + x/(2*a)","B"
278,1,6,6,1.286617,"\text{Not used}","int(cosh(x)^3/(a + a*sinh(x)^2),x)","\frac{\mathrm{sinh}\left(x\right)}{a}","Not used",1,"sinh(x)/a","B"
279,1,5,5,1.260860,"\text{Not used}","int(cosh(x)^2/(a + a*sinh(x)^2),x)","\frac{x}{a}","Not used",1,"x/a","B"
280,1,7,7,0.071528,"\text{Not used}","int(cosh(x)/(a + a*sinh(x)^2),x)","\frac{\mathrm{atan}\left(\mathrm{sinh}\left(x\right)\right)}{a}","Not used",1,"atan(sinh(x))/a","B"
281,1,54,22,1.302855,"\text{Not used}","int(1/(cosh(x)*(a + a*sinh(x)^2)),x)","\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^x\,\sqrt{a^2}}{a}\right)}{\sqrt{a^2}}-\frac{2\,{\mathrm{e}}^x}{a\,\left(2\,{\mathrm{e}}^{2\,x}+{\mathrm{e}}^{4\,x}+1\right)}+\frac{{\mathrm{e}}^x}{a\,\left({\mathrm{e}}^{2\,x}+1\right)}","Not used",1,"atan((exp(x)*(a^2)^(1/2))/a)/(a^2)^(1/2) - (2*exp(x))/(a*(2*exp(2*x) + exp(4*x) + 1)) + exp(x)/(a*(exp(2*x) + 1))","B"
282,1,118,35,1.288401,"\text{Not used}","int(1/(cosh(x)^3*(a + a*sinh(x)^2)),x)","\frac{3\,\mathrm{atan}\left(\frac{{\mathrm{e}}^x\,\sqrt{a^2}}{a}\right)}{4\,\sqrt{a^2}}-\frac{4\,{\mathrm{e}}^{3\,x}}{a\,\left(4\,{\mathrm{e}}^{2\,x}+6\,{\mathrm{e}}^{4\,x}+4\,{\mathrm{e}}^{6\,x}+{\mathrm{e}}^{8\,x}+1\right)}-\frac{2\,{\mathrm{e}}^x}{a\,\left(3\,{\mathrm{e}}^{2\,x}+3\,{\mathrm{e}}^{4\,x}+{\mathrm{e}}^{6\,x}+1\right)}+\frac{{\mathrm{e}}^x}{2\,a\,\left(2\,{\mathrm{e}}^{2\,x}+{\mathrm{e}}^{4\,x}+1\right)}+\frac{3\,{\mathrm{e}}^x}{4\,a\,\left({\mathrm{e}}^{2\,x}+1\right)}","Not used",1,"(3*atan((exp(x)*(a^2)^(1/2))/a))/(4*(a^2)^(1/2)) - (4*exp(3*x))/(a*(4*exp(2*x) + 6*exp(4*x) + 4*exp(6*x) + exp(8*x) + 1)) - (2*exp(x))/(a*(3*exp(2*x) + 3*exp(4*x) + exp(6*x) + 1)) + exp(x)/(2*a*(2*exp(2*x) + exp(4*x) + 1)) + (3*exp(x))/(4*a*(exp(2*x) + 1))","B"
283,1,76,89,1.425203,"\text{Not used}","int(cosh(c + d*x)^4*(a + b*sinh(c + d*x)^2),x)","\frac{12\,a\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)+\frac{3\,a\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)}{2}-\frac{3\,b\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)}{4}+\frac{3\,b\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)}{4}+\frac{b\,\mathrm{sinh}\left(6\,c+6\,d\,x\right)}{4}+18\,a\,d\,x-3\,b\,d\,x}{48\,d}","Not used",1,"(12*a*sinh(2*c + 2*d*x) + (3*a*sinh(4*c + 4*d*x))/2 - (3*b*sinh(2*c + 2*d*x))/4 + (3*b*sinh(4*c + 4*d*x))/4 + (b*sinh(6*c + 6*d*x))/4 + 18*a*d*x - 3*b*d*x)/(48*d)","B"
284,1,48,46,1.339919,"\text{Not used}","int(cosh(c + d*x)^3*(a + b*sinh(c + d*x)^2),x)","\frac{15\,a\,\mathrm{sinh}\left(c+d\,x\right)+5\,a\,{\mathrm{sinh}\left(c+d\,x\right)}^3+5\,b\,{\mathrm{sinh}\left(c+d\,x\right)}^3+3\,b\,{\mathrm{sinh}\left(c+d\,x\right)}^5}{15\,d}","Not used",1,"(15*a*sinh(c + d*x) + 5*a*sinh(c + d*x)^3 + 5*b*sinh(c + d*x)^3 + 3*b*sinh(c + d*x)^5)/(15*d)","B"
285,1,38,61,0.097971,"\text{Not used}","int(cosh(c + d*x)^2*(a + b*sinh(c + d*x)^2),x)","\frac{a\,x}{2}-\frac{b\,x}{8}+\frac{\frac{a\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)}{4}+\frac{b\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)}{32}}{d}","Not used",1,"(a*x)/2 - (b*x)/8 + ((a*sinh(2*c + 2*d*x))/4 + (b*sinh(4*c + 4*d*x))/32)/d","B"
286,1,25,28,0.091364,"\text{Not used}","int(cosh(c + d*x)*(a + b*sinh(c + d*x)^2),x)","\frac{\mathrm{sinh}\left(c+d\,x\right)\,\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+3\,a\right)}{3\,d}","Not used",1,"(sinh(c + d*x)*(3*a + b*sinh(c + d*x)^2))/(3*d)","B"
287,1,88,28,1.780014,"\text{Not used}","int((a + b*sinh(c + d*x)^2)/cosh(c + d*x),x)","\frac{2\,\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(a\,\sqrt{d^2}-b\,\sqrt{d^2}\right)}{d\,\sqrt{a^2-2\,a\,b+b^2}}\right)\,\sqrt{a^2-2\,a\,b+b^2}}{\sqrt{d^2}}-\frac{b\,{\mathrm{e}}^{-c-d\,x}}{2\,d}+\frac{b\,{\mathrm{e}}^{c+d\,x}}{2\,d}","Not used",1,"(2*atan((exp(d*x)*exp(c)*(a*(d^2)^(1/2) - b*(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) - (b*exp(- c - d*x))/(2*d) + (b*exp(c + d*x))/(2*d)","B"
288,1,27,19,0.797418,"\text{Not used}","int((a + b*sinh(c + d*x)^2)/cosh(c + d*x)^2,x)","b\,x-\frac{2\,\left(a-b\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"b*x - (2*(a - b))/(d*(exp(2*c + 2*d*x) + 1))","B"
289,1,127,42,0.122210,"\text{Not used}","int((a + b*sinh(c + d*x)^2)/cosh(c + d*x)^3,x)","\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(a\,\sqrt{d^2}+b\,\sqrt{d^2}\right)}{d\,\sqrt{a^2+2\,a\,b+b^2}}\right)\,\sqrt{a^2+2\,a\,b+b^2}}{\sqrt{d^2}}+\frac{{\mathrm{e}}^{c+d\,x}\,\left(a-b\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{2\,{\mathrm{e}}^{c+d\,x}\,\left(a-b\right)}{d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}","Not used",1,"(atan((exp(d*x)*exp(c)*(a*(d^2)^(1/2) + b*(d^2)^(1/2)))/(d*(2*a*b + a^2 + b^2)^(1/2)))*(2*a*b + a^2 + b^2)^(1/2))/(d^2)^(1/2) + (exp(c + d*x)*(a - b))/(d*(exp(2*c + 2*d*x) + 1)) - (2*exp(c + d*x)*(a - b))/(d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1))","B"
290,1,47,32,0.820871,"\text{Not used}","int((a + b*sinh(c + d*x)^2)/cosh(c + d*x)^4,x)","-\frac{2\,\left(2\,a+b+6\,a\,{\mathrm{e}}^{2\,c+2\,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*(2*a + b + 6*a*exp(2*c + 2*d*x) + 3*b*exp(4*c + 4*d*x)))/(3*d*(exp(2*c + 2*d*x) + 1)^3)","B"
291,1,280,70,0.826763,"\text{Not used}","int((a + b*sinh(c + d*x)^2)/cosh(c + d*x)^5,x)","\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(3\,a\,\sqrt{d^2}+b\,\sqrt{d^2}\right)}{d\,\sqrt{9\,a^2+6\,a\,b+b^2}}\right)\,\sqrt{9\,a^2+6\,a\,b+b^2}}{4\,\sqrt{d^2}}-\frac{\frac{b\,{\mathrm{e}}^{5\,c+5\,d\,x}}{d}+\frac{2\,{\mathrm{e}}^{3\,c+3\,d\,x}\,\left(2\,a-b\right)}{d}+\frac{b\,{\mathrm{e}}^{c+d\,x}}{d}}{4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1}+\frac{{\mathrm{e}}^{c+d\,x}\,\left(3\,a+b\right)}{4\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}+\frac{{\mathrm{e}}^{c+d\,x}\,\left(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{2\,{\mathrm{e}}^{c+d\,x}\,\left(a-b\right)}{d\,\left(3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1\right)}","Not used",1,"(atan((exp(d*x)*exp(c)*(3*a*(d^2)^(1/2) + b*(d^2)^(1/2)))/(d*(6*a*b + 9*a^2 + b^2)^(1/2)))*(6*a*b + 9*a^2 + b^2)^(1/2))/(4*(d^2)^(1/2)) - ((b*exp(5*c + 5*d*x))/d + (2*exp(3*c + 3*d*x)*(2*a - b))/d + (b*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)*(3*a + b))/(4*d*(exp(2*c + 2*d*x) + 1)) + (exp(c + d*x)*(a - 3*b))/(2*d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1)) - (2*exp(c + d*x)*(a - b))/(d*(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1))","B"
292,1,298,54,0.819798,"\text{Not used}","int((a + b*sinh(c + d*x)^2)/cosh(c + d*x)^6,x)","-\frac{\frac{8\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}}{5\,d}+\frac{8\,b\,{\mathrm{e}}^{6\,c+6\,d\,x}}{5\,d}+\frac{16\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(2\,a-b\right)}{5\,d}}{5\,{\mathrm{e}}^{2\,c+2\,d\,x}+10\,{\mathrm{e}}^{4\,c+4\,d\,x}+10\,{\mathrm{e}}^{6\,c+6\,d\,x}+5\,{\mathrm{e}}^{8\,c+8\,d\,x}+{\mathrm{e}}^{10\,c+10\,d\,x}+1}-\frac{\frac{2\,b}{5\,d}+\frac{6\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}}{5\,d}+\frac{8\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(2\,a-b\right)}{5\,d}}{4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1}-\frac{\frac{8\,\left(2\,a-b\right)}{15\,d}+\frac{4\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}}{5\,d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1}-\frac{2\,b}{5\,d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}","Not used",1,"- ((8*b*exp(2*c + 2*d*x))/(5*d) + (8*b*exp(6*c + 6*d*x))/(5*d) + (16*exp(4*c + 4*d*x)*(2*a - b))/(5*d))/(5*exp(2*c + 2*d*x) + 10*exp(4*c + 4*d*x) + 10*exp(6*c + 6*d*x) + 5*exp(8*c + 8*d*x) + exp(10*c + 10*d*x) + 1) - ((2*b)/(5*d) + (6*b*exp(4*c + 4*d*x))/(5*d) + (8*exp(2*c + 2*d*x)*(2*a - b))/(5*d))/(4*exp(2*c + 2*d*x) + 6*exp(4*c + 4*d*x) + 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1) - ((8*(2*a - b))/(15*d) + (4*b*exp(2*c + 2*d*x))/(5*d))/(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1) - (2*b)/(5*d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1))","B"
293,1,121,159,0.358940,"\text{Not used}","int(cosh(c + d*x)^4*(a + b*sinh(c + d*x)^2)^2,x)","\frac{96\,a^2\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)+12\,a^2\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)-3\,b^2\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)+\frac{3\,b^2\,\mathrm{sinh}\left(8\,c+8\,d\,x\right)}{8}-12\,a\,b\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)+12\,a\,b\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)+4\,a\,b\,\mathrm{sinh}\left(6\,c+6\,d\,x\right)+144\,a^2\,d\,x+9\,b^2\,d\,x-48\,a\,b\,d\,x}{384\,d}","Not used",1,"(96*a^2*sinh(2*c + 2*d*x) + 12*a^2*sinh(4*c + 4*d*x) - 3*b^2*sinh(4*c + 4*d*x) + (3*b^2*sinh(8*c + 8*d*x))/8 - 12*a*b*sinh(2*c + 2*d*x) + 12*a*b*sinh(4*c + 4*d*x) + 4*a*b*sinh(6*c + 6*d*x) + 144*a^2*d*x + 9*b^2*d*x - 48*a*b*d*x)/(384*d)","B"
294,1,80,74,0.957437,"\text{Not used}","int(cosh(c + d*x)^3*(a + b*sinh(c + d*x)^2)^2,x)","\frac{35\,a^2\,{\mathrm{sinh}\left(c+d\,x\right)}^3+105\,a^2\,\mathrm{sinh}\left(c+d\,x\right)+42\,a\,b\,{\mathrm{sinh}\left(c+d\,x\right)}^5+70\,a\,b\,{\mathrm{sinh}\left(c+d\,x\right)}^3+15\,b^2\,{\mathrm{sinh}\left(c+d\,x\right)}^7+21\,b^2\,{\mathrm{sinh}\left(c+d\,x\right)}^5}{105\,d}","Not used",1,"(105*a^2*sinh(c + d*x) + 35*a^2*sinh(c + d*x)^3 + 21*b^2*sinh(c + d*x)^5 + 15*b^2*sinh(c + d*x)^7 + 70*a*b*sinh(c + d*x)^3 + 42*a*b*sinh(c + d*x)^5)/(105*d)","B"
295,1,95,119,0.216587,"\text{Not used}","int(cosh(c + d*x)^2*(a + b*sinh(c + d*x)^2)^2,x)","\frac{12\,a^2\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)-\frac{3\,b^2\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)}{4}-\frac{3\,b^2\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)}{4}+\frac{b^2\,\mathrm{sinh}\left(6\,c+6\,d\,x\right)}{4}+3\,a\,b\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)+24\,a^2\,d\,x+3\,b^2\,d\,x-12\,a\,b\,d\,x}{48\,d}","Not used",1,"(12*a^2*sinh(2*c + 2*d*x) - (3*b^2*sinh(2*c + 2*d*x))/4 - (3*b^2*sinh(4*c + 4*d*x))/4 + (b^2*sinh(6*c + 6*d*x))/4 + 3*a*b*sinh(4*c + 4*d*x) + 24*a^2*d*x + 3*b^2*d*x - 12*a*b*d*x)/(48*d)","B"
296,1,42,49,0.829284,"\text{Not used}","int(cosh(c + d*x)*(a + b*sinh(c + d*x)^2)^2,x)","\frac{\mathrm{sinh}\left(c+d\,x\right)\,\left(15\,a^2+10\,a\,b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+3\,b^2\,{\mathrm{sinh}\left(c+d\,x\right)}^4\right)}{15\,d}","Not used",1,"(sinh(c + d*x)*(15*a^2 + 3*b^2*sinh(c + d*x)^4 + 10*a*b*sinh(c + d*x)^2))/(15*d)","B"
297,1,182,55,0.171871,"\text{Not used}","int((a + b*sinh(c + d*x)^2)^2/cosh(c + d*x),x)","\frac{b^2\,{\mathrm{e}}^{3\,c+3\,d\,x}}{24\,d}-\frac{b^2\,{\mathrm{e}}^{-3\,c-3\,d\,x}}{24\,d}-\frac{{\mathrm{e}}^{-c-d\,x}\,\left(8\,a\,b-5\,b^2\right)}{8\,d}+\frac{2\,\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(a^2\,\sqrt{d^2}+b^2\,\sqrt{d^2}-2\,a\,b\,\sqrt{d^2}\right)}{d\,\sqrt{a^4-4\,a^3\,b+6\,a^2\,b^2-4\,a\,b^3+b^4}}\right)\,\sqrt{a^4-4\,a^3\,b+6\,a^2\,b^2-4\,a\,b^3+b^4}}{\sqrt{d^2}}+\frac{b\,{\mathrm{e}}^{c+d\,x}\,\left(8\,a-5\,b\right)}{8\,d}","Not used",1,"(b^2*exp(3*c + 3*d*x))/(24*d) - (b^2*exp(- 3*c - 3*d*x))/(24*d) - (exp(- c - d*x)*(8*a*b - 5*b^2))/(8*d) + (2*atan((exp(d*x)*exp(c)*(a^2*(d^2)^(1/2) + b^2*(d^2)^(1/2) - 2*a*b*(d^2)^(1/2)))/(d*(a^4 - 4*a^3*b - 4*a*b^3 + b^4 + 6*a^2*b^2)^(1/2)))*(a^4 - 4*a^3*b - 4*a*b^3 + b^4 + 6*a^2*b^2)^(1/2))/(d^2)^(1/2) + (b*exp(c + d*x)*(8*a - 5*b))/(8*d)","B"
298,1,75,53,0.879138,"\text{Not used}","int((a + b*sinh(c + d*x)^2)^2/cosh(c + d*x)^2,x)","\frac{b\,x\,\left(4\,a-3\,b\right)}{2}-\frac{b^2\,{\mathrm{e}}^{-2\,c-2\,d\,x}}{8\,d}+\frac{b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}}{8\,d}-\frac{2\,\left(a^2-2\,a\,b+b^2\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"(b*x*(4*a - 3*b))/2 - (b^2*exp(- 2*c - 2*d*x))/(8*d) + (b^2*exp(2*c + 2*d*x))/(8*d) - (2*(a^2 - 2*a*b + b^2))/(d*(exp(2*c + 2*d*x) + 1))","B"
299,1,220,64,0.884931,"\text{Not used}","int((a + b*sinh(c + d*x)^2)^2/cosh(c + d*x)^3,x)","\frac{b^2\,{\mathrm{e}}^{c+d\,x}}{2\,d}+\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(a^2\,\sqrt{d^2}-3\,b^2\,\sqrt{d^2}+2\,a\,b\,\sqrt{d^2}\right)}{d\,\sqrt{a^4+4\,a^3\,b-2\,a^2\,b^2-12\,a\,b^3+9\,b^4}}\right)\,\sqrt{a^4+4\,a^3\,b-2\,a^2\,b^2-12\,a\,b^3+9\,b^4}}{\sqrt{d^2}}-\frac{b^2\,{\mathrm{e}}^{-c-d\,x}}{2\,d}+\frac{{\mathrm{e}}^{c+d\,x}\,\left(a^2-2\,a\,b+b^2\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{2\,{\mathrm{e}}^{c+d\,x}\,\left(a^2-2\,a\,b+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,"(b^2*exp(c + d*x))/(2*d) + (atan((exp(d*x)*exp(c)*(a^2*(d^2)^(1/2) - 3*b^2*(d^2)^(1/2) + 2*a*b*(d^2)^(1/2)))/(d*(4*a^3*b - 12*a*b^3 + a^4 + 9*b^4 - 2*a^2*b^2)^(1/2)))*(4*a^3*b - 12*a*b^3 + a^4 + 9*b^4 - 2*a^2*b^2)^(1/2))/(d^2)^(1/2) - (b^2*exp(- c - d*x))/(2*d) + (exp(c + d*x)*(a^2 - 2*a*b + b^2))/(d*(exp(2*c + 2*d*x) + 1)) - (2*exp(c + d*x)*(a^2 - 2*a*b + b^2))/(d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1))","B"
300,1,194,47,0.843663,"\text{Not used}","int((a + b*sinh(c + d*x)^2)^2/cosh(c + d*x)^4,x)","b^2\,x-\frac{\frac{4\,\left(a\,b-b^2\right)}{3\,d}-\frac{8\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a\,b-a^2\right)}{3\,d}+\frac{4\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(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{\frac{4\,\left(a\,b-a^2\right)}{3\,d}-\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a\,b-b^2\right)}{3\,d}}{2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1}-\frac{4\,\left(a\,b-b^2\right)}{3\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"b^2*x - ((4*(a*b - b^2))/(3*d) - (8*exp(2*c + 2*d*x)*(a*b - a^2))/(3*d) + (4*exp(4*c + 4*d*x)*(a*b - b^2))/(3*d))/(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1) + ((4*(a*b - a^2))/(3*d) - (4*exp(2*c + 2*d*x)*(a*b - b^2))/(3*d))/(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1) - (4*(a*b - b^2))/(3*d*(exp(2*c + 2*d*x) + 1))","B"
301,1,327,96,0.892908,"\text{Not used}","int((a + b*sinh(c + d*x)^2)^2/cosh(c + d*x)^5,x)","\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(3\,a^2\,\sqrt{d^2}+3\,b^2\,\sqrt{d^2}+2\,a\,b\,\sqrt{d^2}\right)}{d\,\sqrt{9\,a^4+12\,a^3\,b+22\,a^2\,b^2+12\,a\,b^3+9\,b^4}}\right)\,\sqrt{9\,a^4+12\,a^3\,b+22\,a^2\,b^2+12\,a\,b^3+9\,b^4}}{4\,\sqrt{d^2}}-\frac{6\,{\mathrm{e}}^{c+d\,x}\,\left(a^2-2\,a\,b+b^2\right)}{d\,\left(3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1\right)}+\frac{4\,{\mathrm{e}}^{c+d\,x}\,\left(a^2-2\,a\,b+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{{\mathrm{e}}^{c+d\,x}\,\left(a^2-10\,a\,b+9\,b^2\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(3\,a^2+2\,a\,b-5\,b^2\right)}{4\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"(atan((exp(d*x)*exp(c)*(3*a^2*(d^2)^(1/2) + 3*b^2*(d^2)^(1/2) + 2*a*b*(d^2)^(1/2)))/(d*(12*a*b^3 + 12*a^3*b + 9*a^4 + 9*b^4 + 22*a^2*b^2)^(1/2)))*(12*a*b^3 + 12*a^3*b + 9*a^4 + 9*b^4 + 22*a^2*b^2)^(1/2))/(4*(d^2)^(1/2)) - (6*exp(c + d*x)*(a^2 - 2*a*b + b^2))/(d*(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1)) + (4*exp(c + d*x)*(a^2 - 2*a*b + 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)) + (exp(c + d*x)*(a^2 - 10*a*b + 9*b^2))/(2*d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1)) + (exp(c + d*x)*(2*a*b + 3*a^2 - 5*b^2))/(4*d*(exp(2*c + 2*d*x) + 1))","B"
302,1,464,57,0.863229,"\text{Not used}","int((a + b*sinh(c + d*x)^2)^2/cosh(c + d*x)^6,x)","-\frac{\frac{2\,\left(8\,a^2-8\,a\,b+3\,b^2\right)}{15\,d}+\frac{2\,b^2\,{\mathrm{e}}^{4\,c+4\,d\,x}}{5\,d}+\frac{4\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(2\,a-b\right)}{5\,d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1}-\frac{\frac{2\,b^2}{5\,d}+\frac{2\,b^2\,{\mathrm{e}}^{8\,c+8\,d\,x}}{5\,d}+\frac{4\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(8\,a^2-8\,a\,b+3\,b^2\right)}{5\,d}+\frac{8\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(2\,a-b\right)}{5\,d}+\frac{8\,b\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(2\,a-b\right)}{5\,d}}{5\,{\mathrm{e}}^{2\,c+2\,d\,x}+10\,{\mathrm{e}}^{4\,c+4\,d\,x}+10\,{\mathrm{e}}^{6\,c+6\,d\,x}+5\,{\mathrm{e}}^{8\,c+8\,d\,x}+{\mathrm{e}}^{10\,c+10\,d\,x}+1}-\frac{\frac{2\,b\,\left(2\,a-b\right)}{5\,d}+\frac{2\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}}{5\,d}}{2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1}-\frac{\frac{2\,b\,\left(2\,a-b\right)}{5\,d}+\frac{2\,b^2\,{\mathrm{e}}^{6\,c+6\,d\,x}}{5\,d}+\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(8\,a^2-8\,a\,b+3\,b^2\right)}{5\,d}+\frac{6\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(2\,a-b\right)}{5\,d}}{4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1}-\frac{2\,b^2}{5\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"- ((2*(8*a^2 - 8*a*b + 3*b^2))/(15*d) + (2*b^2*exp(4*c + 4*d*x))/(5*d) + (4*b*exp(2*c + 2*d*x)*(2*a - b))/(5*d))/(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1) - ((2*b^2)/(5*d) + (2*b^2*exp(8*c + 8*d*x))/(5*d) + (4*exp(4*c + 4*d*x)*(8*a^2 - 8*a*b + 3*b^2))/(5*d) + (8*b*exp(2*c + 2*d*x)*(2*a - b))/(5*d) + (8*b*exp(6*c + 6*d*x)*(2*a - b))/(5*d))/(5*exp(2*c + 2*d*x) + 10*exp(4*c + 4*d*x) + 10*exp(6*c + 6*d*x) + 5*exp(8*c + 8*d*x) + exp(10*c + 10*d*x) + 1) - ((2*b*(2*a - b))/(5*d) + (2*b^2*exp(2*c + 2*d*x))/(5*d))/(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1) - ((2*b*(2*a - b))/(5*d) + (2*b^2*exp(6*c + 6*d*x))/(5*d) + (2*exp(2*c + 2*d*x)*(8*a^2 - 8*a*b + 3*b^2))/(5*d) + (6*b*exp(4*c + 4*d*x)*(2*a - b))/(5*d))/(4*exp(2*c + 2*d*x) + 6*exp(4*c + 4*d*x) + 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1) - (2*b^2)/(5*d*(exp(2*c + 2*d*x) + 1))","B"
303,1,582,131,0.921853,"\text{Not used}","int((a + b*sinh(c + d*x)^2)^2/cosh(c + d*x)^7,x)","\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(5\,a^2\,\sqrt{d^2}+b^2\,\sqrt{d^2}+2\,a\,b\,\sqrt{d^2}\right)}{d\,\sqrt{25\,a^4+20\,a^3\,b+14\,a^2\,b^2+4\,a\,b^3+b^4}}\right)\,\sqrt{25\,a^4+20\,a^3\,b+14\,a^2\,b^2+4\,a\,b^3+b^4}}{8\,\sqrt{d^2}}-\frac{\frac{2\,b^2\,{\mathrm{e}}^{c+d\,x}}{3\,d}+\frac{2\,b^2\,{\mathrm{e}}^{9\,c+9\,d\,x}}{3\,d}+\frac{4\,{\mathrm{e}}^{5\,c+5\,d\,x}\,\left(8\,a^2-8\,a\,b+3\,b^2\right)}{3\,d}+\frac{8\,b\,{\mathrm{e}}^{3\,c+3\,d\,x}\,\left(2\,a-b\right)}{3\,d}+\frac{8\,b\,{\mathrm{e}}^{7\,c+7\,d\,x}\,\left(2\,a-b\right)}{3\,d}}{6\,{\mathrm{e}}^{2\,c+2\,d\,x}+15\,{\mathrm{e}}^{4\,c+4\,d\,x}+20\,{\mathrm{e}}^{6\,c+6\,d\,x}+15\,{\mathrm{e}}^{8\,c+8\,d\,x}+6\,{\mathrm{e}}^{10\,c+10\,d\,x}+{\mathrm{e}}^{12\,c+12\,d\,x}+1}-\frac{2\,{\mathrm{e}}^{c+d\,x}\,\left(11\,a^2-26\,a\,b+15\,b^2\right)}{3\,d\,\left(4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1\right)}+\frac{{\mathrm{e}}^{c+d\,x}\,\left(5\,a^2+2\,a\,b+b^2\right)}{8\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}+\frac{16\,{\mathrm{e}}^{c+d\,x}\,\left(a^2-2\,a\,b+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{{\mathrm{e}}^{c+d\,x}\,\left(a^2-22\,a\,b+21\,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{{\mathrm{e}}^{c+d\,x}\,\left(5\,a^2+2\,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)}","Not used",1,"(atan((exp(d*x)*exp(c)*(5*a^2*(d^2)^(1/2) + b^2*(d^2)^(1/2) + 2*a*b*(d^2)^(1/2)))/(d*(4*a*b^3 + 20*a^3*b + 25*a^4 + b^4 + 14*a^2*b^2)^(1/2)))*(4*a*b^3 + 20*a^3*b + 25*a^4 + b^4 + 14*a^2*b^2)^(1/2))/(8*(d^2)^(1/2)) - ((2*b^2*exp(c + d*x))/(3*d) + (2*b^2*exp(9*c + 9*d*x))/(3*d) + (4*exp(5*c + 5*d*x)*(8*a^2 - 8*a*b + 3*b^2))/(3*d) + (8*b*exp(3*c + 3*d*x)*(2*a - b))/(3*d) + (8*b*exp(7*c + 7*d*x)*(2*a - b))/(3*d))/(6*exp(2*c + 2*d*x) + 15*exp(4*c + 4*d*x) + 20*exp(6*c + 6*d*x) + 15*exp(8*c + 8*d*x) + 6*exp(10*c + 10*d*x) + exp(12*c + 12*d*x) + 1) - (2*exp(c + d*x)*(11*a^2 - 26*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)) + (exp(c + d*x)*(2*a*b + 5*a^2 + b^2))/(8*d*(exp(2*c + 2*d*x) + 1)) + (16*exp(c + d*x)*(a^2 - 2*a*b + b^2))/(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)*(a^2 - 22*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)) + (exp(c + d*x)*(2*a*b + 5*a^2 - 23*b^2))/(12*d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1))","B"
304,1,209,238,0.583730,"\text{Not used}","int(cosh(c + d*x)^4*(a + b*sinh(c + d*x)^2)^3,x)","\frac{320\,a^3\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)+40\,a^3\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)+\frac{5\,b^3\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)}{2}+5\,b^3\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)-\frac{5\,b^3\,\mathrm{sinh}\left(6\,c+6\,d\,x\right)}{4}-\frac{5\,b^3\,\mathrm{sinh}\left(8\,c+8\,d\,x\right)}{8}+\frac{b^3\,\mathrm{sinh}\left(10\,c+10\,d\,x\right)}{4}-60\,a^2\,b\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)-30\,a\,b^2\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)+60\,a^2\,b\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)+20\,a^2\,b\,\mathrm{sinh}\left(6\,c+6\,d\,x\right)+\frac{15\,a\,b^2\,\mathrm{sinh}\left(8\,c+8\,d\,x\right)}{4}+480\,a^3\,d\,x-15\,b^3\,d\,x+90\,a\,b^2\,d\,x-240\,a^2\,b\,d\,x}{1280\,d}","Not used",1,"(320*a^3*sinh(2*c + 2*d*x) + 40*a^3*sinh(4*c + 4*d*x) + (5*b^3*sinh(2*c + 2*d*x))/2 + 5*b^3*sinh(4*c + 4*d*x) - (5*b^3*sinh(6*c + 6*d*x))/4 - (5*b^3*sinh(8*c + 8*d*x))/8 + (b^3*sinh(10*c + 10*d*x))/4 - 60*a^2*b*sinh(2*c + 2*d*x) - 30*a*b^2*sinh(4*c + 4*d*x) + 60*a^2*b*sinh(4*c + 4*d*x) + 20*a^2*b*sinh(6*c + 6*d*x) + (15*a*b^2*sinh(8*c + 8*d*x))/4 + 480*a^3*d*x - 15*b^3*d*x + 90*a*b^2*d*x - 240*a^2*b*d*x)/(1280*d)","B"
305,1,112,98,0.293887,"\text{Not used}","int(cosh(c + d*x)^3*(a + b*sinh(c + d*x)^2)^3,x)","\frac{105\,a^3\,{\mathrm{sinh}\left(c+d\,x\right)}^3+315\,a^3\,\mathrm{sinh}\left(c+d\,x\right)+189\,a^2\,b\,{\mathrm{sinh}\left(c+d\,x\right)}^5+315\,a^2\,b\,{\mathrm{sinh}\left(c+d\,x\right)}^3+135\,a\,b^2\,{\mathrm{sinh}\left(c+d\,x\right)}^7+189\,a\,b^2\,{\mathrm{sinh}\left(c+d\,x\right)}^5+35\,b^3\,{\mathrm{sinh}\left(c+d\,x\right)}^9+45\,b^3\,{\mathrm{sinh}\left(c+d\,x\right)}^7}{315\,d}","Not used",1,"(315*a^3*sinh(c + d*x) + 105*a^3*sinh(c + d*x)^3 + 45*b^3*sinh(c + d*x)^7 + 35*b^3*sinh(c + d*x)^9 + 315*a^2*b*sinh(c + d*x)^3 + 189*a*b^2*sinh(c + d*x)^5 + 189*a^2*b*sinh(c + d*x)^5 + 135*a*b^2*sinh(c + d*x)^7)/(315*d)","B"
306,1,166,203,0.418659,"\text{Not used}","int(cosh(c + d*x)^2*(a + b*sinh(c + d*x)^2)^3,x)","\frac{96\,a^3\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)+6\,b^3\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)+3\,b^3\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)-2\,b^3\,\mathrm{sinh}\left(6\,c+6\,d\,x\right)+\frac{3\,b^3\,\mathrm{sinh}\left(8\,c+8\,d\,x\right)}{8}-18\,a\,b^2\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)-18\,a\,b^2\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)+36\,a^2\,b\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)+6\,a\,b^2\,\mathrm{sinh}\left(6\,c+6\,d\,x\right)+192\,a^3\,d\,x-15\,b^3\,d\,x+72\,a\,b^2\,d\,x-144\,a^2\,b\,d\,x}{384\,d}","Not used",1,"(96*a^3*sinh(2*c + 2*d*x) + 6*b^3*sinh(2*c + 2*d*x) + 3*b^3*sinh(4*c + 4*d*x) - 2*b^3*sinh(6*c + 6*d*x) + (3*b^3*sinh(8*c + 8*d*x))/8 - 18*a*b^2*sinh(2*c + 2*d*x) - 18*a*b^2*sinh(4*c + 4*d*x) + 36*a^2*b*sinh(4*c + 4*d*x) + 6*a*b^2*sinh(6*c + 6*d*x) + 192*a^3*d*x - 15*b^3*d*x + 72*a*b^2*d*x - 144*a^2*b*d*x)/(384*d)","B"
307,1,58,67,0.153666,"\text{Not used}","int(cosh(c + d*x)*(a + b*sinh(c + d*x)^2)^3,x)","\frac{\mathrm{sinh}\left(c+d\,x\right)\,\left(35\,a^3+35\,a^2\,b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+21\,a\,b^2\,{\mathrm{sinh}\left(c+d\,x\right)}^4+5\,b^3\,{\mathrm{sinh}\left(c+d\,x\right)}^6\right)}{35\,d}","Not used",1,"(sinh(c + d*x)*(35*a^3 + 5*b^3*sinh(c + d*x)^6 + 35*a^2*b*sinh(c + d*x)^2 + 21*a*b^2*sinh(c + d*x)^4))/(35*d)","B"
308,1,294,86,1.040628,"\text{Not used}","int((a + b*sinh(c + d*x)^2)^3/cosh(c + d*x),x)","\frac{{\mathrm{e}}^{c+d\,x}\,\left(24\,a^2\,b-30\,a\,b^2+11\,b^3\right)}{16\,d}-\frac{{\mathrm{e}}^{-c-d\,x}\,\left(24\,a^2\,b-30\,a\,b^2+11\,b^3\right)}{16\,d}+\frac{2\,\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(a^3\,\sqrt{d^2}-b^3\,\sqrt{d^2}+3\,a\,b^2\,\sqrt{d^2}-3\,a^2\,b\,\sqrt{d^2}\right)}{d\,\sqrt{a^6-6\,a^5\,b+15\,a^4\,b^2-20\,a^3\,b^3+15\,a^2\,b^4-6\,a\,b^5+b^6}}\right)\,\sqrt{a^6-6\,a^5\,b+15\,a^4\,b^2-20\,a^3\,b^3+15\,a^2\,b^4-6\,a\,b^5+b^6}}{\sqrt{d^2}}-\frac{b^3\,{\mathrm{e}}^{-5\,c-5\,d\,x}}{160\,d}+\frac{b^3\,{\mathrm{e}}^{5\,c+5\,d\,x}}{160\,d}-\frac{b^2\,{\mathrm{e}}^{-3\,c-3\,d\,x}\,\left(12\,a-7\,b\right)}{96\,d}+\frac{b^2\,{\mathrm{e}}^{3\,c+3\,d\,x}\,\left(12\,a-7\,b\right)}{96\,d}","Not used",1,"(exp(c + d*x)*(24*a^2*b - 30*a*b^2 + 11*b^3))/(16*d) - (exp(- c - d*x)*(24*a^2*b - 30*a*b^2 + 11*b^3))/(16*d) + (2*atan((exp(d*x)*exp(c)*(a^3*(d^2)^(1/2) - b^3*(d^2)^(1/2) + 3*a*b^2*(d^2)^(1/2) - 3*a^2*b*(d^2)^(1/2)))/(d*(a^6 - 6*a^5*b - 6*a*b^5 + b^6 + 15*a^2*b^4 - 20*a^3*b^3 + 15*a^4*b^2)^(1/2)))*(a^6 - 6*a^5*b - 6*a*b^5 + b^6 + 15*a^2*b^4 - 20*a^3*b^3 + 15*a^4*b^2)^(1/2))/(d^2)^(1/2) - (b^3*exp(- 5*c - 5*d*x))/(160*d) + (b^3*exp(5*c + 5*d*x))/(160*d) - (b^2*exp(- 3*c - 3*d*x)*(12*a - 7*b))/(96*d) + (b^2*exp(3*c + 3*d*x)*(12*a - 7*b))/(96*d)","B"
309,1,141,92,0.983522,"\text{Not used}","int((a + b*sinh(c + d*x)^2)^3/cosh(c + d*x)^2,x)","\frac{b^3\,{\mathrm{e}}^{4\,c+4\,d\,x}}{64\,d}-\frac{b^3\,{\mathrm{e}}^{-4\,c-4\,d\,x}}{64\,d}-\frac{2\,\left(a^3-3\,a^2\,b+3\,a\,b^2-b^3\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}+\frac{3\,b\,x\,\left(8\,a^2-12\,a\,b+5\,b^2\right)}{8}-\frac{b^2\,{\mathrm{e}}^{-2\,c-2\,d\,x}\,\left(3\,a-2\,b\right)}{8\,d}+\frac{b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(3\,a-2\,b\right)}{8\,d}","Not used",1,"(b^3*exp(4*c + 4*d*x))/(64*d) - (b^3*exp(- 4*c - 4*d*x))/(64*d) - (2*(3*a*b^2 - 3*a^2*b + a^3 - b^3))/(d*(exp(2*c + 2*d*x) + 1)) + (3*b*x*(8*a^2 - 12*a*b + 5*b^2))/8 - (b^2*exp(- 2*c - 2*d*x)*(3*a - 2*b))/(8*d) + (b^2*exp(2*c + 2*d*x)*(3*a - 2*b))/(8*d)","B"
310,1,308,91,2.278225,"\text{Not used}","int((a + b*sinh(c + d*x)^2)^3/cosh(c + d*x)^3,x)","\frac{b^3\,{\mathrm{e}}^{3\,c+3\,d\,x}}{24\,d}-\frac{b^3\,{\mathrm{e}}^{-3\,c-3\,d\,x}}{24\,d}+\frac{3\,b^2\,{\mathrm{e}}^{c+d\,x}\,\left(4\,a-3\,b\right)}{8\,d}+\frac{{\mathrm{e}}^{c+d\,x}\,\left(a^3-3\,a^2\,b+3\,a\,b^2-b^3\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{2\,{\mathrm{e}}^{c+d\,x}\,\left(a^3-3\,a^2\,b+3\,a\,b^2-b^3\right)}{d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}-\frac{3\,b^2\,{\mathrm{e}}^{-c-d\,x}\,\left(4\,a-3\,b\right)}{8\,d}+\frac{\ln\left(-{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(a^3+3\,a^2\,b-9\,a\,b^2+5\,b^3\right)-{\left(a-b\right)}^2\,\left(a+5\,b\right)\,1{}\mathrm{i}\right)\,{\left(a-b\right)}^2\,\left(a+5\,b\right)\,1{}\mathrm{i}}{2\,d}-\frac{\ln\left(-{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(a^3+3\,a^2\,b-9\,a\,b^2+5\,b^3\right)+{\left(a-b\right)}^2\,\left(a+5\,b\right)\,1{}\mathrm{i}\right)\,{\left(a-b\right)}^2\,\left(a+5\,b\right)\,1{}\mathrm{i}}{2\,d}","Not used",1,"(b^3*exp(3*c + 3*d*x))/(24*d) - (b^3*exp(- 3*c - 3*d*x))/(24*d) + (log(- (a - b)^2*(a + 5*b)*1i - exp(d*x)*exp(c)*(3*a^2*b - 9*a*b^2 + a^3 + 5*b^3))*(a - b)^2*(a + 5*b)*1i)/(2*d) - (log((a - b)^2*(a + 5*b)*1i - exp(d*x)*exp(c)*(3*a^2*b - 9*a*b^2 + a^3 + 5*b^3))*(a - b)^2*(a + 5*b)*1i)/(2*d) + (3*b^2*exp(c + d*x)*(4*a - 3*b))/(8*d) + (exp(c + d*x)*(3*a*b^2 - 3*a^2*b + a^3 - b^3))/(d*(exp(2*c + 2*d*x) + 1)) - (2*exp(c + d*x)*(3*a*b^2 - 3*a^2*b + a^3 - b^3))/(d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1)) - (3*b^2*exp(- c - d*x)*(4*a - 3*b))/(8*d)","B"
311,1,273,82,0.159814,"\text{Not used}","int((a + b*sinh(c + d*x)^2)^3/cosh(c + d*x)^4,x)","\frac{b^2\,x\,\left(6\,a-5\,b\right)}{2}-\frac{\frac{2\,\left(a^2\,b-2\,a\,b^2+b^3\right)}{d}+\frac{2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(a^2\,b-2\,a\,b^2+b^3\right)}{d}+\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(2\,a^3-3\,a^2\,b+b^3\right)}{3\,d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1}-\frac{\frac{2\,\left(2\,a^3-3\,a^2\,b+b^3\right)}{3\,d}+\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a^2\,b-2\,a\,b^2+b^3\right)}{d}}{2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1}-\frac{b^3\,{\mathrm{e}}^{-2\,c-2\,d\,x}}{8\,d}+\frac{b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}}{8\,d}-\frac{2\,\left(a^2\,b-2\,a\,b^2+b^3\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"(b^2*x*(6*a - 5*b))/2 - ((2*(a^2*b - 2*a*b^2 + b^3))/d + (2*exp(4*c + 4*d*x)*(a^2*b - 2*a*b^2 + b^3))/d + (4*exp(2*c + 2*d*x)*(2*a^3 - 3*a^2*b + 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) - ((2*(2*a^3 - 3*a^2*b + b^3))/(3*d) + (2*exp(2*c + 2*d*x)*(a^2*b - 2*a*b^2 + b^3))/d)/(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1) - (b^3*exp(- 2*c - 2*d*x))/(8*d) + (b^3*exp(2*c + 2*d*x))/(8*d) - (2*(a^2*b - 2*a*b^2 + b^3))/(d*(exp(2*c + 2*d*x) + 1))","B"
312,1,430,103,0.186024,"\text{Not used}","int((a + b*sinh(c + d*x)^2)^3/cosh(c + d*x)^5,x)","\frac{3\,\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(a^3\,\sqrt{d^2}-5\,b^3\,\sqrt{d^2}+3\,a\,b^2\,\sqrt{d^2}+a^2\,b\,\sqrt{d^2}\right)}{d\,\sqrt{a^6+2\,a^5\,b+7\,a^4\,b^2-4\,a^3\,b^3-a^2\,b^4-30\,a\,b^5+25\,b^6}}\right)\,\sqrt{a^6+2\,a^5\,b+7\,a^4\,b^2-4\,a^3\,b^3-a^2\,b^4-30\,a\,b^5+25\,b^6}}{4\,\sqrt{d^2}}+\frac{b^3\,{\mathrm{e}}^{c+d\,x}}{2\,d}-\frac{b^3\,{\mathrm{e}}^{-c-d\,x}}{2\,d}+\frac{3\,{\mathrm{e}}^{c+d\,x}\,\left(a^3+a^2\,b-5\,a\,b^2+3\,b^3\right)}{4\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}+\frac{{\mathrm{e}}^{c+d\,x}\,\left(a^3-15\,a^2\,b+27\,a\,b^2-13\,b^3\right)}{2\,d\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}-\frac{6\,{\mathrm{e}}^{c+d\,x}\,\left(a^3-3\,a^2\,b+3\,a\,b^2-b^3\right)}{d\,\left(3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1\right)}+\frac{4\,{\mathrm{e}}^{c+d\,x}\,\left(a^3-3\,a^2\,b+3\,a\,b^2-b^3\right)}{d\,\left(4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1\right)}","Not used",1,"(3*atan((exp(d*x)*exp(c)*(a^3*(d^2)^(1/2) - 5*b^3*(d^2)^(1/2) + 3*a*b^2*(d^2)^(1/2) + a^2*b*(d^2)^(1/2)))/(d*(2*a^5*b - 30*a*b^5 + a^6 + 25*b^6 - a^2*b^4 - 4*a^3*b^3 + 7*a^4*b^2)^(1/2)))*(2*a^5*b - 30*a*b^5 + a^6 + 25*b^6 - a^2*b^4 - 4*a^3*b^3 + 7*a^4*b^2)^(1/2))/(4*(d^2)^(1/2)) + (b^3*exp(c + d*x))/(2*d) - (b^3*exp(- c - d*x))/(2*d) + (3*exp(c + d*x)*(a^2*b - 5*a*b^2 + a^3 + 3*b^3))/(4*d*(exp(2*c + 2*d*x) + 1)) + (exp(c + d*x)*(27*a*b^2 - 15*a^2*b + a^3 - 13*b^3))/(2*d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1)) - (6*exp(c + d*x)*(3*a*b^2 - 3*a^2*b + a^3 - b^3))/(d*(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1)) + (4*exp(c + d*x)*(3*a*b^2 - 3*a^2*b + a^3 - b^3))/(d*(4*exp(2*c + 2*d*x) + 6*exp(4*c + 4*d*x) + 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1))","B"
313,1,563,74,0.843368,"\text{Not used}","int((a + b*sinh(c + d*x)^2)^3/cosh(c + d*x)^6,x)","b^3\,x-\frac{\frac{2\,\left(8\,a^3-12\,a^2\,b+9\,a\,b^2-5\,b^3\right)}{15\,d}-\frac{12\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a\,b^2-a^2\,b\right)}{5\,d}+\frac{6\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(a\,b^2-b^3\right)}{5\,d}}{3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1}+\frac{\frac{6\,\left(a\,b^2-a^2\,b\right)}{5\,d}-\frac{6\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(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{6\,\left(a\,b^2-a^2\,b\right)}{5\,d}+\frac{18\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(a\,b^2-a^2\,b\right)}{5\,d}-\frac{2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(8\,a^3-12\,a^2\,b+9\,a\,b^2-5\,b^3\right)}{5\,d}-\frac{6\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(a\,b^2-b^3\right)}{5\,d}}{4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1}-\frac{\frac{6\,\left(a\,b^2-b^3\right)}{5\,d}-\frac{24\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a\,b^2-a^2\,b\right)}{5\,d}-\frac{24\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(a\,b^2-a^2\,b\right)}{5\,d}+\frac{4\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(8\,a^3-12\,a^2\,b+9\,a\,b^2-5\,b^3\right)}{5\,d}+\frac{6\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(a\,b^2-b^3\right)}{5\,d}}{5\,{\mathrm{e}}^{2\,c+2\,d\,x}+10\,{\mathrm{e}}^{4\,c+4\,d\,x}+10\,{\mathrm{e}}^{6\,c+6\,d\,x}+5\,{\mathrm{e}}^{8\,c+8\,d\,x}+{\mathrm{e}}^{10\,c+10\,d\,x}+1}-\frac{6\,\left(a\,b^2-b^3\right)}{5\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"b^3*x - ((2*(9*a*b^2 - 12*a^2*b + 8*a^3 - 5*b^3))/(15*d) - (12*exp(2*c + 2*d*x)*(a*b^2 - a^2*b))/(5*d) + (6*exp(4*c + 4*d*x)*(a*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*(a*b^2 - a^2*b))/(5*d) - (6*exp(2*c + 2*d*x)*(a*b^2 - b^3))/(5*d))/(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1) + ((6*(a*b^2 - a^2*b))/(5*d) + (18*exp(4*c + 4*d*x)*(a*b^2 - a^2*b))/(5*d) - (2*exp(2*c + 2*d*x)*(9*a*b^2 - 12*a^2*b + 8*a^3 - 5*b^3))/(5*d) - (6*exp(6*c + 6*d*x)*(a*b^2 - b^3))/(5*d))/(4*exp(2*c + 2*d*x) + 6*exp(4*c + 4*d*x) + 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1) - ((6*(a*b^2 - b^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 - 12*a^2*b + 8*a^3 - 5*b^3))/(5*d) + (6*exp(8*c + 8*d*x)*(a*b^2 - b^3))/(5*d))/(5*exp(2*c + 2*d*x) + 10*exp(4*c + 4*d*x) + 10*exp(6*c + 6*d*x) + 5*exp(8*c + 8*d*x) + exp(10*c + 10*d*x) + 1) - (6*(a*b^2 - b^3))/(5*d*(exp(2*c + 2*d*x) + 1))","B"
314,1,601,154,0.196448,"\text{Not used}","int((a + b*sinh(c + d*x)^2)^3/cosh(c + d*x)^7,x)","\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(5\,a^3\,\sqrt{d^2}+5\,b^3\,\sqrt{d^2}+3\,a\,b^2\,\sqrt{d^2}+3\,a^2\,b\,\sqrt{d^2}\right)}{d\,\sqrt{25\,a^6+30\,a^5\,b+39\,a^4\,b^2+68\,a^3\,b^3+39\,a^2\,b^4+30\,a\,b^5+25\,b^6}}\right)\,\sqrt{25\,a^6+30\,a^5\,b+39\,a^4\,b^2+68\,a^3\,b^3+39\,a^2\,b^4+30\,a\,b^5+25\,b^6}}{8\,\sqrt{d^2}}-\frac{6\,{\mathrm{e}}^{c+d\,x}\,\left(3\,a^3-11\,a^2\,b+13\,a\,b^2-5\,b^3\right)}{d\,\left(4\,{\mathrm{e}}^{2\,c+2\,d\,x}+6\,{\mathrm{e}}^{4\,c+4\,d\,x}+4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1\right)}+\frac{{\mathrm{e}}^{c+d\,x}\,\left(a^3-57\,a^2\,b+111\,a\,b^2-55\,b^3\right)}{3\,d\,\left(3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1\right)}+\frac{{\mathrm{e}}^{c+d\,x}\,\left(5\,a^3+3\,a^2\,b+3\,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(5\,a^3+3\,a^2\,b-93\,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)}+\frac{80\,{\mathrm{e}}^{c+d\,x}\,\left(a^3-3\,a^2\,b+3\,a\,b^2-b^3\right)}{3\,d\,\left(5\,{\mathrm{e}}^{2\,c+2\,d\,x}+10\,{\mathrm{e}}^{4\,c+4\,d\,x}+10\,{\mathrm{e}}^{6\,c+6\,d\,x}+5\,{\mathrm{e}}^{8\,c+8\,d\,x}+{\mathrm{e}}^{10\,c+10\,d\,x}+1\right)}-\frac{32\,{\mathrm{e}}^{c+d\,x}\,\left(a^3-3\,a^2\,b+3\,a\,b^2-b^3\right)}{3\,d\,\left(6\,{\mathrm{e}}^{2\,c+2\,d\,x}+15\,{\mathrm{e}}^{4\,c+4\,d\,x}+20\,{\mathrm{e}}^{6\,c+6\,d\,x}+15\,{\mathrm{e}}^{8\,c+8\,d\,x}+6\,{\mathrm{e}}^{10\,c+10\,d\,x}+{\mathrm{e}}^{12\,c+12\,d\,x}+1\right)}","Not used",1,"(atan((exp(d*x)*exp(c)*(5*a^3*(d^2)^(1/2) + 5*b^3*(d^2)^(1/2) + 3*a*b^2*(d^2)^(1/2) + 3*a^2*b*(d^2)^(1/2)))/(d*(30*a*b^5 + 30*a^5*b + 25*a^6 + 25*b^6 + 39*a^2*b^4 + 68*a^3*b^3 + 39*a^4*b^2)^(1/2)))*(30*a*b^5 + 30*a^5*b + 25*a^6 + 25*b^6 + 39*a^2*b^4 + 68*a^3*b^3 + 39*a^4*b^2)^(1/2))/(8*(d^2)^(1/2)) - (6*exp(c + d*x)*(13*a*b^2 - 11*a^2*b + 3*a^3 - 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)) + (exp(c + d*x)*(111*a*b^2 - 57*a^2*b + a^3 - 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)) + (exp(c + d*x)*(3*a*b^2 + 3*a^2*b + 5*a^3 - 11*b^3))/(8*d*(exp(2*c + 2*d*x) + 1)) + (exp(c + d*x)*(3*a^2*b - 93*a*b^2 + 5*a^3 + 85*b^3))/(12*d*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1)) + (80*exp(c + d*x)*(3*a*b^2 - 3*a^2*b + a^3 - 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)) - (32*exp(c + d*x)*(3*a*b^2 - 3*a^2*b + a^3 - 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))","B"
315,1,994,80,0.874955,"\text{Not used}","int((a + b*sinh(c + d*x)^2)^3/cosh(c + d*x)^8,x)","-\frac{\frac{2\,b^3}{7\,d}+\frac{8\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(16\,a^3-24\,a^2\,b+18\,a\,b^2-5\,b^3\right)}{7\,d}+\frac{2\,b^3\,{\mathrm{e}}^{12\,c+12\,d\,x}}{7\,d}+\frac{6\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(16\,a^2-16\,a\,b+5\,b^2\right)}{7\,d}+\frac{6\,b\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(16\,a^2-16\,a\,b+5\,b^2\right)}{7\,d}+\frac{12\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(2\,a-b\right)}{7\,d}+\frac{12\,b^2\,{\mathrm{e}}^{10\,c+10\,d\,x}\,\left(2\,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{4\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(16\,a^3-24\,a^2\,b+18\,a\,b^2-5\,b^3\right)}{7\,d}+\frac{2\,b^3\,{\mathrm{e}}^{10\,c+10\,d\,x}}{7\,d}+\frac{2\,b^2\,\left(2\,a-b\right)}{7\,d}+\frac{2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(16\,a^2-16\,a\,b+5\,b^2\right)}{7\,d}+\frac{4\,b\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(16\,a^2-16\,a\,b+5\,b^2\right)}{7\,d}+\frac{10\,b^2\,{\mathrm{e}}^{8\,c+8\,d\,x}\,\left(2\,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{\frac{2\,\left(16\,a^3-24\,a^2\,b+18\,a\,b^2-5\,b^3\right)}{35\,d}+\frac{2\,b^3\,{\mathrm{e}}^{6\,c+6\,d\,x}}{7\,d}+\frac{6\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(16\,a^2-16\,a\,b+5\,b^2\right)}{35\,d}+\frac{6\,b^2\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(2\,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\,b^3\,{\mathrm{e}}^{2\,c+2\,d\,x}}{7\,d}+\frac{2\,b^2\,\left(2\,a-b\right)}{7\,d}}{2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1}-\frac{\frac{2\,b\,\left(16\,a^2-16\,a\,b+5\,b^2\right)}{35\,d}+\frac{8\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(16\,a^3-24\,a^2\,b+18\,a\,b^2-5\,b^3\right)}{35\,d}+\frac{2\,b^3\,{\mathrm{e}}^{8\,c+8\,d\,x}}{7\,d}+\frac{12\,b\,{\mathrm{e}}^{4\,c+4\,d\,x}\,\left(16\,a^2-16\,a\,b+5\,b^2\right)}{35\,d}+\frac{8\,b^2\,{\mathrm{e}}^{6\,c+6\,d\,x}\,\left(2\,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\,b\,\left(16\,a^2-16\,a\,b+5\,b^2\right)}{35\,d}+\frac{2\,b^3\,{\mathrm{e}}^{4\,c+4\,d\,x}}{7\,d}+\frac{4\,b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(2\,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{2\,b^3}{7\,d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}","Not used",1,"- ((2*b^3)/(7*d) + (8*exp(6*c + 6*d*x)*(18*a*b^2 - 24*a^2*b + 16*a^3 - 5*b^3))/(7*d) + (2*b^3*exp(12*c + 12*d*x))/(7*d) + (6*b*exp(4*c + 4*d*x)*(16*a^2 - 16*a*b + 5*b^2))/(7*d) + (6*b*exp(8*c + 8*d*x)*(16*a^2 - 16*a*b + 5*b^2))/(7*d) + (12*b^2*exp(2*c + 2*d*x)*(2*a - b))/(7*d) + (12*b^2*exp(10*c + 10*d*x)*(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) - ((4*exp(4*c + 4*d*x)*(18*a*b^2 - 24*a^2*b + 16*a^3 - 5*b^3))/(7*d) + (2*b^3*exp(10*c + 10*d*x))/(7*d) + (2*b^2*(2*a - b))/(7*d) + (2*b*exp(2*c + 2*d*x)*(16*a^2 - 16*a*b + 5*b^2))/(7*d) + (4*b*exp(6*c + 6*d*x)*(16*a^2 - 16*a*b + 5*b^2))/(7*d) + (10*b^2*exp(8*c + 8*d*x)*(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*(18*a*b^2 - 24*a^2*b + 16*a^3 - 5*b^3))/(35*d) + (2*b^3*exp(6*c + 6*d*x))/(7*d) + (6*b*exp(2*c + 2*d*x)*(16*a^2 - 16*a*b + 5*b^2))/(35*d) + (6*b^2*exp(4*c + 4*d*x)*(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*b^3*exp(2*c + 2*d*x))/(7*d) + (2*b^2*(2*a - b))/(7*d))/(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1) - ((2*b*(16*a^2 - 16*a*b + 5*b^2))/(35*d) + (8*exp(2*c + 2*d*x)*(18*a*b^2 - 24*a^2*b + 16*a^3 - 5*b^3))/(35*d) + (2*b^3*exp(8*c + 8*d*x))/(7*d) + (12*b*exp(4*c + 4*d*x)*(16*a^2 - 16*a*b + 5*b^2))/(35*d) + (8*b^2*exp(6*c + 6*d*x)*(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*b*(16*a^2 - 16*a*b + 5*b^2))/(35*d) + (2*b^3*exp(4*c + 4*d*x))/(7*d) + (4*b^2*exp(2*c + 2*d*x)*(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*b^3)/(7*d*(exp(2*c + 2*d*x) + 1))","B"
316,1,954,108,1.514064,"\text{Not used}","int(cosh(c + d*x)^7/(a + b*sinh(c + d*x)^2),x)","\frac{{\mathrm{e}}^{5\,c+5\,d\,x}}{160\,b\,d}-\frac{{\mathrm{e}}^{-5\,c-5\,d\,x}}{160\,b\,d}-\frac{\left(2\,\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,{\left(a-b\right)}^3\,\sqrt{a\,b^7\,d^2}}{2\,a\,b^3\,d\,\sqrt{{\left(a-b\right)}^6}}\right)+2\,\mathrm{atan}\left(\frac{a\,b^8\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(\frac{4\,\left(12\,a^3\,b^5\,d\,\sqrt{a^6-6\,a^5\,b+15\,a^4\,b^2-20\,a^3\,b^3+15\,a^2\,b^4-6\,a\,b^5+b^6}-8\,a^2\,b^6\,d\,\sqrt{a^6-6\,a^5\,b+15\,a^4\,b^2-20\,a^3\,b^3+15\,a^2\,b^4-6\,a\,b^5+b^6}-8\,a^4\,b^4\,d\,\sqrt{a^6-6\,a^5\,b+15\,a^4\,b^2-20\,a^3\,b^3+15\,a^2\,b^4-6\,a\,b^5+b^6}+2\,a^5\,b^3\,d\,\sqrt{a^6-6\,a^5\,b+15\,a^4\,b^2-20\,a^3\,b^3+15\,a^2\,b^4-6\,a\,b^5+b^6}+2\,a\,b^7\,d\,\sqrt{a^6-6\,a^5\,b+15\,a^4\,b^2-20\,a^3\,b^3+15\,a^2\,b^4-6\,a\,b^5+b^6}\right)}{a^2\,b^{15}\,d^2\,{\left(a-b\right)}^3}-\frac{2\,\left(a^7\,\sqrt{a\,b^7\,d^2}-b^7\,\sqrt{a\,b^7\,d^2}+7\,a\,b^6\,\sqrt{a\,b^7\,d^2}-7\,a^6\,b\,\sqrt{a\,b^7\,d^2}-21\,a^2\,b^5\,\sqrt{a\,b^7\,d^2}+35\,a^3\,b^4\,\sqrt{a\,b^7\,d^2}-35\,a^4\,b^3\,\sqrt{a\,b^7\,d^2}+21\,a^5\,b^2\,\sqrt{a\,b^7\,d^2}\right)}{a^2\,b^{11}\,d\,\sqrt{{\left(a-b\right)}^6}\,\sqrt{a\,b^7\,d^2}}\right)\,\sqrt{a\,b^7\,d^2}}{4\,a^4-16\,a^3\,b+24\,a^2\,b^2-16\,a\,b^3+4\,b^4}+\frac{2\,{\mathrm{e}}^{3\,c}\,{\mathrm{e}}^{3\,d\,x}\,\left(a^7\,\sqrt{a\,b^7\,d^2}-b^7\,\sqrt{a\,b^7\,d^2}+7\,a\,b^6\,\sqrt{a\,b^7\,d^2}-7\,a^6\,b\,\sqrt{a\,b^7\,d^2}-21\,a^2\,b^5\,\sqrt{a\,b^7\,d^2}+35\,a^3\,b^4\,\sqrt{a\,b^7\,d^2}-35\,a^4\,b^3\,\sqrt{a\,b^7\,d^2}+21\,a^5\,b^2\,\sqrt{a\,b^7\,d^2}\right)}{a\,b^3\,d\,\sqrt{{\left(a-b\right)}^6}\,\left(4\,a^4-16\,a^3\,b+24\,a^2\,b^2-16\,a\,b^3+4\,b^4\right)}\right)\right)\,\sqrt{a^6-6\,a^5\,b+15\,a^4\,b^2-20\,a^3\,b^3+15\,a^2\,b^4-6\,a\,b^5+b^6}}{2\,\sqrt{a\,b^7\,d^2}}+\frac{{\mathrm{e}}^{c+d\,x}\,\left(8\,a^2-22\,a\,b+19\,b^2\right)}{16\,b^3\,d}-\frac{{\mathrm{e}}^{-c-d\,x}\,\left(8\,a^2-22\,a\,b+19\,b^2\right)}{16\,b^3\,d}+\frac{{\mathrm{e}}^{-3\,c-3\,d\,x}\,\left(4\,a-9\,b\right)}{96\,b^2\,d}-\frac{{\mathrm{e}}^{3\,c+3\,d\,x}\,\left(4\,a-9\,b\right)}{96\,b^2\,d}","Not used",1,"exp(5*c + 5*d*x)/(160*b*d) - exp(- 5*c - 5*d*x)/(160*b*d) - ((2*atan((exp(d*x)*exp(c)*(a - b)^3*(a*b^7*d^2)^(1/2))/(2*a*b^3*d*((a - b)^6)^(1/2))) + 2*atan((a*b^8*exp(d*x)*exp(c)*((4*(12*a^3*b^5*d*(a^6 - 6*a^5*b - 6*a*b^5 + b^6 + 15*a^2*b^4 - 20*a^3*b^3 + 15*a^4*b^2)^(1/2) - 8*a^2*b^6*d*(a^6 - 6*a^5*b - 6*a*b^5 + b^6 + 15*a^2*b^4 - 20*a^3*b^3 + 15*a^4*b^2)^(1/2) - 8*a^4*b^4*d*(a^6 - 6*a^5*b - 6*a*b^5 + b^6 + 15*a^2*b^4 - 20*a^3*b^3 + 15*a^4*b^2)^(1/2) + 2*a^5*b^3*d*(a^6 - 6*a^5*b - 6*a*b^5 + b^6 + 15*a^2*b^4 - 20*a^3*b^3 + 15*a^4*b^2)^(1/2) + 2*a*b^7*d*(a^6 - 6*a^5*b - 6*a*b^5 + b^6 + 15*a^2*b^4 - 20*a^3*b^3 + 15*a^4*b^2)^(1/2)))/(a^2*b^15*d^2*(a - b)^3) - (2*(a^7*(a*b^7*d^2)^(1/2) - b^7*(a*b^7*d^2)^(1/2) + 7*a*b^6*(a*b^7*d^2)^(1/2) - 7*a^6*b*(a*b^7*d^2)^(1/2) - 21*a^2*b^5*(a*b^7*d^2)^(1/2) + 35*a^3*b^4*(a*b^7*d^2)^(1/2) - 35*a^4*b^3*(a*b^7*d^2)^(1/2) + 21*a^5*b^2*(a*b^7*d^2)^(1/2)))/(a^2*b^11*d*((a - b)^6)^(1/2)*(a*b^7*d^2)^(1/2)))*(a*b^7*d^2)^(1/2))/(4*a^4 - 16*a^3*b - 16*a*b^3 + 4*b^4 + 24*a^2*b^2) + (2*exp(3*c)*exp(3*d*x)*(a^7*(a*b^7*d^2)^(1/2) - b^7*(a*b^7*d^2)^(1/2) + 7*a*b^6*(a*b^7*d^2)^(1/2) - 7*a^6*b*(a*b^7*d^2)^(1/2) - 21*a^2*b^5*(a*b^7*d^2)^(1/2) + 35*a^3*b^4*(a*b^7*d^2)^(1/2) - 35*a^4*b^3*(a*b^7*d^2)^(1/2) + 21*a^5*b^2*(a*b^7*d^2)^(1/2)))/(a*b^3*d*((a - b)^6)^(1/2)*(4*a^4 - 16*a^3*b - 16*a*b^3 + 4*b^4 + 24*a^2*b^2))))*(a^6 - 6*a^5*b - 6*a*b^5 + b^6 + 15*a^2*b^4 - 20*a^3*b^3 + 15*a^4*b^2)^(1/2))/(2*(a*b^7*d^2)^(1/2)) + (exp(c + d*x)*(8*a^2 - 22*a*b + 19*b^2))/(16*b^3*d) - (exp(- c - d*x)*(8*a^2 - 22*a*b + 19*b^2))/(16*b^3*d) + (exp(- 3*c - 3*d*x)*(4*a - 9*b))/(96*b^2*d) - (exp(3*c + 3*d*x)*(4*a - 9*b))/(96*b^2*d)","B"
317,1,264,121,1.372144,"\text{Not used}","int(cosh(c + d*x)^6/(a + b*sinh(c + d*x)^2),x)","\frac{x\,\left(8\,a^2-20\,a\,b+15\,b^2\right)}{8\,b^3}-\frac{{\mathrm{e}}^{-4\,c-4\,d\,x}}{64\,b\,d}+\frac{{\mathrm{e}}^{4\,c+4\,d\,x}}{64\,b\,d}+\frac{{\mathrm{e}}^{-2\,c-2\,d\,x}\,\left(a-2\,b\right)}{8\,b^2\,d}-\frac{{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a-2\,b\right)}{8\,b^2\,d}+\frac{\ln\left(\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,{\left(a-b\right)}^3}{b^4}-\frac{2\,{\left(a-b\right)}^{5/2}\,\left(b+2\,a\,{\mathrm{e}}^{2\,c+2\,d\,x}-b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{\sqrt{a}\,b^4}\right)\,{\left(a-b\right)}^{5/2}}{2\,\sqrt{a}\,b^3\,d}-\frac{\ln\left(\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,{\left(a-b\right)}^3}{b^4}+\frac{2\,{\left(a-b\right)}^{5/2}\,\left(b+2\,a\,{\mathrm{e}}^{2\,c+2\,d\,x}-b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{\sqrt{a}\,b^4}\right)\,{\left(a-b\right)}^{5/2}}{2\,\sqrt{a}\,b^3\,d}","Not used",1,"(x*(8*a^2 - 20*a*b + 15*b^2))/(8*b^3) - exp(- 4*c - 4*d*x)/(64*b*d) + exp(4*c + 4*d*x)/(64*b*d) + (exp(- 2*c - 2*d*x)*(a - 2*b))/(8*b^2*d) - (exp(2*c + 2*d*x)*(a - 2*b))/(8*b^2*d) + (log((4*exp(2*c + 2*d*x)*(a - b)^3)/b^4 - (2*(a - b)^(5/2)*(b + 2*a*exp(2*c + 2*d*x) - b*exp(2*c + 2*d*x)))/(a^(1/2)*b^4))*(a - b)^(5/2))/(2*a^(1/2)*b^3*d) - (log((4*exp(2*c + 2*d*x)*(a - b)^3)/b^4 + (2*(a - b)^(5/2)*(b + 2*a*exp(2*c + 2*d*x) - b*exp(2*c + 2*d*x)))/(a^(1/2)*b^4))*(a - b)^(5/2))/(2*a^(1/2)*b^3*d)","B"
318,1,668,77,1.282629,"\text{Not used}","int(cosh(c + d*x)^5/(a + b*sinh(c + d*x)^2),x)","\frac{\left(2\,\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,{\left(a-b\right)}^2\,\sqrt{a\,b^5\,d^2}}{2\,a\,b^2\,d\,\sqrt{{\left(a-b\right)}^4}}\right)-2\,\mathrm{atan}\left(\frac{a\,b^6\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(\frac{4\,\left(2\,a\,b^5\,d\,\sqrt{a^4-4\,a^3\,b+6\,a^2\,b^2-4\,a\,b^3+b^4}-6\,a^2\,b^4\,d\,\sqrt{a^4-4\,a^3\,b+6\,a^2\,b^2-4\,a\,b^3+b^4}+6\,a^3\,b^3\,d\,\sqrt{a^4-4\,a^3\,b+6\,a^2\,b^2-4\,a\,b^3+b^4}-2\,a^4\,b^2\,d\,\sqrt{a^4-4\,a^3\,b+6\,a^2\,b^2-4\,a\,b^3+b^4}\right)}{a^2\,b^{11}\,d^2\,{\left(a-b\right)}^2}+\frac{2\,\left(a^5\,\sqrt{a\,b^5\,d^2}-b^5\,\sqrt{a\,b^5\,d^2}+5\,a\,b^4\,\sqrt{a\,b^5\,d^2}-5\,a^4\,b\,\sqrt{a\,b^5\,d^2}-10\,a^2\,b^3\,\sqrt{a\,b^5\,d^2}+10\,a^3\,b^2\,\sqrt{a\,b^5\,d^2}\right)}{a^2\,b^8\,d\,\sqrt{{\left(a-b\right)}^4}\,\sqrt{a\,b^5\,d^2}}\right)\,\sqrt{a\,b^5\,d^2}}{4\,a^3-12\,a^2\,b+12\,a\,b^2-4\,b^3}-\frac{2\,{\mathrm{e}}^{3\,c}\,{\mathrm{e}}^{3\,d\,x}\,\left(a^5\,\sqrt{a\,b^5\,d^2}-b^5\,\sqrt{a\,b^5\,d^2}+5\,a\,b^4\,\sqrt{a\,b^5\,d^2}-5\,a^4\,b\,\sqrt{a\,b^5\,d^2}-10\,a^2\,b^3\,\sqrt{a\,b^5\,d^2}+10\,a^3\,b^2\,\sqrt{a\,b^5\,d^2}\right)}{a\,b^2\,d\,\sqrt{{\left(a-b\right)}^4}\,\left(4\,a^3-12\,a^2\,b+12\,a\,b^2-4\,b^3\right)}\right)\right)\,\sqrt{a^4-4\,a^3\,b+6\,a^2\,b^2-4\,a\,b^3+b^4}}{2\,\sqrt{a\,b^5\,d^2}}-\frac{{\mathrm{e}}^{-3\,c-3\,d\,x}}{24\,b\,d}+\frac{{\mathrm{e}}^{3\,c+3\,d\,x}}{24\,b\,d}-\frac{{\mathrm{e}}^{c+d\,x}\,\left(4\,a-7\,b\right)}{8\,b^2\,d}+\frac{{\mathrm{e}}^{-c-d\,x}\,\left(4\,a-7\,b\right)}{8\,b^2\,d}","Not used",1,"((2*atan((exp(d*x)*exp(c)*(a - b)^2*(a*b^5*d^2)^(1/2))/(2*a*b^2*d*((a - b)^4)^(1/2))) - 2*atan((a*b^6*exp(d*x)*exp(c)*((4*(2*a*b^5*d*(a^4 - 4*a^3*b - 4*a*b^3 + b^4 + 6*a^2*b^2)^(1/2) - 6*a^2*b^4*d*(a^4 - 4*a^3*b - 4*a*b^3 + b^4 + 6*a^2*b^2)^(1/2) + 6*a^3*b^3*d*(a^4 - 4*a^3*b - 4*a*b^3 + b^4 + 6*a^2*b^2)^(1/2) - 2*a^4*b^2*d*(a^4 - 4*a^3*b - 4*a*b^3 + b^4 + 6*a^2*b^2)^(1/2)))/(a^2*b^11*d^2*(a - b)^2) + (2*(a^5*(a*b^5*d^2)^(1/2) - b^5*(a*b^5*d^2)^(1/2) + 5*a*b^4*(a*b^5*d^2)^(1/2) - 5*a^4*b*(a*b^5*d^2)^(1/2) - 10*a^2*b^3*(a*b^5*d^2)^(1/2) + 10*a^3*b^2*(a*b^5*d^2)^(1/2)))/(a^2*b^8*d*((a - b)^4)^(1/2)*(a*b^5*d^2)^(1/2)))*(a*b^5*d^2)^(1/2))/(12*a*b^2 - 12*a^2*b + 4*a^3 - 4*b^3) - (2*exp(3*c)*exp(3*d*x)*(a^5*(a*b^5*d^2)^(1/2) - b^5*(a*b^5*d^2)^(1/2) + 5*a*b^4*(a*b^5*d^2)^(1/2) - 5*a^4*b*(a*b^5*d^2)^(1/2) - 10*a^2*b^3*(a*b^5*d^2)^(1/2) + 10*a^3*b^2*(a*b^5*d^2)^(1/2)))/(a*b^2*d*((a - b)^4)^(1/2)*(12*a*b^2 - 12*a^2*b + 4*a^3 - 4*b^3))))*(a^4 - 4*a^3*b - 4*a*b^3 + b^4 + 6*a^2*b^2)^(1/2))/(2*(a*b^5*d^2)^(1/2)) - exp(- 3*c - 3*d*x)/(24*b*d) + exp(3*c + 3*d*x)/(24*b*d) - (exp(c + d*x)*(4*a - 7*b))/(8*b^2*d) + (exp(- c - d*x)*(4*a - 7*b))/(8*b^2*d)","B"
319,1,300,81,1.611641,"\text{Not used}","int(cosh(c + d*x)^4/(a + b*sinh(c + d*x)^2),x)","\frac{{\mathrm{e}}^{2\,c+2\,d\,x}}{8\,b\,d}-\frac{{\mathrm{e}}^{-2\,c-2\,d\,x}}{8\,b\,d}-\frac{x\,\left(2\,a-3\,b\right)}{2\,b^2}-\frac{\ln\left(\frac{4\,{\left(a-b\right)}^3\,\left(2\,a\,b-b^2+8\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-8\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a\,b^6}-\frac{8\,{\left(a-b\right)}^{7/2}\,\left(b+4\,a\,{\mathrm{e}}^{2\,c+2\,d\,x}-2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{\sqrt{a}\,b^6}\right)\,{\left(a-b\right)}^{3/2}}{2\,\sqrt{a}\,b^2\,d}+\frac{\ln\left(\frac{4\,{\left(a-b\right)}^3\,\left(2\,a\,b-b^2+8\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-8\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a\,b^6}+\frac{8\,{\left(a-b\right)}^{7/2}\,\left(b+4\,a\,{\mathrm{e}}^{2\,c+2\,d\,x}-2\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{\sqrt{a}\,b^6}\right)\,{\left(a-b\right)}^{3/2}}{2\,\sqrt{a}\,b^2\,d}","Not used",1,"exp(2*c + 2*d*x)/(8*b*d) - exp(- 2*c - 2*d*x)/(8*b*d) - (x*(2*a - 3*b))/(2*b^2) - (log((4*(a - b)^3*(2*a*b - b^2 + 8*a^2*exp(2*c + 2*d*x) + b^2*exp(2*c + 2*d*x) - 8*a*b*exp(2*c + 2*d*x)))/(a*b^6) - (8*(a - b)^(7/2)*(b + 4*a*exp(2*c + 2*d*x) - 2*b*exp(2*c + 2*d*x)))/(a^(1/2)*b^6))*(a - b)^(3/2))/(2*a^(1/2)*b^2*d) + (log((4*(a - b)^3*(2*a*b - b^2 + 8*a^2*exp(2*c + 2*d*x) + b^2*exp(2*c + 2*d*x) - 8*a*b*exp(2*c + 2*d*x)))/(a*b^6) + (8*(a - b)^(7/2)*(b + 4*a*exp(2*c + 2*d*x) - 2*b*exp(2*c + 2*d*x)))/(a^(1/2)*b^6))*(a - b)^(3/2))/(2*a^(1/2)*b^2*d)","B"
320,1,426,52,1.144421,"\text{Not used}","int(cosh(c + d*x)^3/(a + b*sinh(c + d*x)^2),x)","\frac{{\mathrm{e}}^{c+d\,x}}{2\,b\,d}-\frac{\left(2\,\mathrm{atan}\left(\frac{a\,b^4\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(\frac{4\,\left(2\,a\,b^3\,d\,\sqrt{a^2-2\,a\,b+b^2}+2\,a^3\,b\,d\,\sqrt{a^2-2\,a\,b+b^2}-4\,a^2\,b^2\,d\,\sqrt{a^2-2\,a\,b+b^2}\right)}{a^2\,b^7\,d^2\,\left(a-b\right)}-\frac{2\,\left(a^3\,\sqrt{a\,b^3\,d^2}-b^3\,\sqrt{a\,b^3\,d^2}+3\,a\,b^2\,\sqrt{a\,b^3\,d^2}-3\,a^2\,b\,\sqrt{a\,b^3\,d^2}\right)}{a^2\,b^5\,d\,\sqrt{{\left(a-b\right)}^2}\,\sqrt{a\,b^3\,d^2}}\right)\,\sqrt{a\,b^3\,d^2}}{4\,a^2-8\,a\,b+4\,b^2}+\frac{2\,{\mathrm{e}}^{3\,c}\,{\mathrm{e}}^{3\,d\,x}\,\left(a^3\,\sqrt{a\,b^3\,d^2}-b^3\,\sqrt{a\,b^3\,d^2}+3\,a\,b^2\,\sqrt{a\,b^3\,d^2}-3\,a^2\,b\,\sqrt{a\,b^3\,d^2}\right)}{a\,b\,d\,\sqrt{{\left(a-b\right)}^2}\,\left(4\,a^2-8\,a\,b+4\,b^2\right)}\right)+2\,\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(a-b\right)\,\sqrt{a\,b^3\,d^2}}{2\,a\,b\,d\,\sqrt{{\left(a-b\right)}^2}}\right)\right)\,\sqrt{a^2-2\,a\,b+b^2}}{2\,\sqrt{a\,b^3\,d^2}}-\frac{{\mathrm{e}}^{-c-d\,x}}{2\,b\,d}","Not used",1,"exp(c + d*x)/(2*b*d) - ((2*atan((a*b^4*exp(d*x)*exp(c)*((4*(2*a*b^3*d*(a^2 - 2*a*b + b^2)^(1/2) + 2*a^3*b*d*(a^2 - 2*a*b + b^2)^(1/2) - 4*a^2*b^2*d*(a^2 - 2*a*b + b^2)^(1/2)))/(a^2*b^7*d^2*(a - b)) - (2*(a^3*(a*b^3*d^2)^(1/2) - b^3*(a*b^3*d^2)^(1/2) + 3*a*b^2*(a*b^3*d^2)^(1/2) - 3*a^2*b*(a*b^3*d^2)^(1/2)))/(a^2*b^5*d*((a - b)^2)^(1/2)*(a*b^3*d^2)^(1/2)))*(a*b^3*d^2)^(1/2))/(4*a^2 - 8*a*b + 4*b^2) + (2*exp(3*c)*exp(3*d*x)*(a^3*(a*b^3*d^2)^(1/2) - b^3*(a*b^3*d^2)^(1/2) + 3*a*b^2*(a*b^3*d^2)^(1/2) - 3*a^2*b*(a*b^3*d^2)^(1/2)))/(a*b*d*((a - b)^2)^(1/2)*(4*a^2 - 8*a*b + 4*b^2))) + 2*atan((exp(d*x)*exp(c)*(a - b)*(a*b^3*d^2)^(1/2))/(2*a*b*d*((a - b)^2)^(1/2))))*(a^2 - 2*a*b + b^2)^(1/2))/(2*(a*b^3*d^2)^(1/2)) - exp(- c - d*x)/(2*b*d)","B"
321,1,166,50,0.483154,"\text{Not used}","int(cosh(c + d*x)^2/(a + b*sinh(c + d*x)^2),x)","\frac{x}{b}+\frac{\ln\left(\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a-b\right)}{b^2}-\frac{2\,\sqrt{a-b}\,\left(b+2\,a\,{\mathrm{e}}^{2\,c+2\,d\,x}-b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{\sqrt{a}\,b^2}\right)\,\sqrt{a-b}}{2\,\sqrt{a}\,b\,d}-\frac{\ln\left(\frac{4\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a-b\right)}{b^2}+\frac{2\,\sqrt{a-b}\,\left(b+2\,a\,{\mathrm{e}}^{2\,c+2\,d\,x}-b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{\sqrt{a}\,b^2}\right)\,\sqrt{a-b}}{2\,\sqrt{a}\,b\,d}","Not used",1,"x/b + (log((4*exp(2*c + 2*d*x)*(a - b))/b^2 - (2*(a - b)^(1/2)*(b + 2*a*exp(2*c + 2*d*x) - b*exp(2*c + 2*d*x)))/(a^(1/2)*b^2))*(a - b)^(1/2))/(2*a^(1/2)*b*d) - (log((4*exp(2*c + 2*d*x)*(a - b))/b^2 + (2*(a - b)^(1/2)*(b + 2*a*exp(2*c + 2*d*x) - b*exp(2*c + 2*d*x)))/(a^(1/2)*b^2))*(a - b)^(1/2))/(2*a^(1/2)*b*d)","B"
322,1,23,32,0.869509,"\text{Not used}","int(cosh(c + d*x)/(a + b*sinh(c + d*x)^2),x)","\frac{\mathrm{atan}\left(\frac{b\,\mathrm{sinh}\left(c+d\,x\right)}{\sqrt{a\,b}}\right)}{d\,\sqrt{a\,b}}","Not used",1,"atan((b*sinh(c + d*x))/(a*b)^(1/2))/(d*(a*b)^(1/2))","B"
323,1,648,59,1.357886,"\text{Not used}","int(1/(cosh(c + d*x)*(a + b*sinh(c + d*x)^2)),x)","\frac{2\,\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(16\,a^2\,\sqrt{a^2\,d^2-2\,a\,b\,d^2+b^2\,d^2}+b^2\,\sqrt{a^2\,d^2-2\,a\,b\,d^2+b^2\,d^2}-8\,a\,b\,\sqrt{a^2\,d^2-2\,a\,b\,d^2+b^2\,d^2}\right)}{16\,d\,a^3-24\,d\,a^2\,b+9\,d\,a\,b^2-d\,b^3}\right)}{\sqrt{a^2\,d^2-2\,a\,b\,d^2+b^2\,d^2}}-\frac{\sqrt{b}\,\left(2\,\mathrm{atan}\left(\frac{\sqrt{b}\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\sqrt{a\,d^2\,{\left(a-b\right)}^2}}{2\,a\,d\,\left(a-b\right)}\right)-2\,\mathrm{atan}\left(\frac{\left(a^3\,b^{5/2}\,\sqrt{a^3\,d^2-2\,a^2\,b\,d^2+a\,b^2\,d^2}-a^2\,b^{7/2}\,\sqrt{a^3\,d^2-2\,a^2\,b\,d^2+a\,b^2\,d^2}\right)\,\left({\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(\frac{64\,\left(8\,d\,a^3-10\,d\,a^2\,b+2\,d\,a\,b^2\right)}{a\,b^3\,\left(a\,b-a^2\right)\,\sqrt{a\,d^2\,{\left(a-b\right)}^2}\,\sqrt{a^3\,d^2-2\,a^2\,b\,d^2+a\,b^2\,d^2}}+\frac{32\,\left(b^{3/2}\,\sqrt{a^3\,d^2-2\,a^2\,b\,d^2+a\,b^2\,d^2}-4\,a\,\sqrt{b}\,\sqrt{a^3\,d^2-2\,a^2\,b\,d^2+a\,b^2\,d^2}\right)}{a^2\,b^{5/2}\,d\,\left(a-b\right)\,\left(a\,b-a^2\right)\,\sqrt{a^3\,d^2-2\,a^2\,b\,d^2+a\,b^2\,d^2}}\right)-\frac{32\,{\mathrm{e}}^{3\,c}\,{\mathrm{e}}^{3\,d\,x}\,\left(b^{3/2}\,\sqrt{a^3\,d^2-2\,a^2\,b\,d^2+a\,b^2\,d^2}-4\,a\,\sqrt{b}\,\sqrt{a^3\,d^2-2\,a^2\,b\,d^2+a\,b^2\,d^2}\right)}{a^2\,b^{5/2}\,d\,\left(a-b\right)\,\left(a\,b-a^2\right)\,\sqrt{a^3\,d^2-2\,a^2\,b\,d^2+a\,b^2\,d^2}}\right)}{256\,a-64\,b}\right)\right)}{2\,\sqrt{a^3\,d^2-2\,a^2\,b\,d^2+a\,b^2\,d^2}}","Not used",1,"(2*atan((exp(d*x)*exp(c)*(16*a^2*(a^2*d^2 + b^2*d^2 - 2*a*b*d^2)^(1/2) + b^2*(a^2*d^2 + b^2*d^2 - 2*a*b*d^2)^(1/2) - 8*a*b*(a^2*d^2 + b^2*d^2 - 2*a*b*d^2)^(1/2)))/(16*a^3*d - b^3*d + 9*a*b^2*d - 24*a^2*b*d)))/(a^2*d^2 + b^2*d^2 - 2*a*b*d^2)^(1/2) - (b^(1/2)*(2*atan((b^(1/2)*exp(d*x)*exp(c)*(a*d^2*(a - b)^2)^(1/2))/(2*a*d*(a - b))) - 2*atan(((a^3*b^(5/2)*(a^3*d^2 + a*b^2*d^2 - 2*a^2*b*d^2)^(1/2) - a^2*b^(7/2)*(a^3*d^2 + a*b^2*d^2 - 2*a^2*b*d^2)^(1/2))*(exp(d*x)*exp(c)*((64*(8*a^3*d + 2*a*b^2*d - 10*a^2*b*d))/(a*b^3*(a*b - a^2)*(a*d^2*(a - b)^2)^(1/2)*(a^3*d^2 + a*b^2*d^2 - 2*a^2*b*d^2)^(1/2)) + (32*(b^(3/2)*(a^3*d^2 + a*b^2*d^2 - 2*a^2*b*d^2)^(1/2) - 4*a*b^(1/2)*(a^3*d^2 + a*b^2*d^2 - 2*a^2*b*d^2)^(1/2)))/(a^2*b^(5/2)*d*(a - b)*(a*b - a^2)*(a^3*d^2 + a*b^2*d^2 - 2*a^2*b*d^2)^(1/2))) - (32*exp(3*c)*exp(3*d*x)*(b^(3/2)*(a^3*d^2 + a*b^2*d^2 - 2*a^2*b*d^2)^(1/2) - 4*a*b^(1/2)*(a^3*d^2 + a*b^2*d^2 - 2*a^2*b*d^2)^(1/2)))/(a^2*b^(5/2)*d*(a - b)*(a*b - a^2)*(a^3*d^2 + a*b^2*d^2 - 2*a^2*b*d^2)^(1/2))))/(256*a - 64*b))))/(2*(a^3*d^2 + a*b^2*d^2 - 2*a^2*b*d^2)^(1/2))","B"
324,1,265,60,1.470555,"\text{Not used}","int(1/(cosh(c + d*x)^2*(a + b*sinh(c + d*x)^2)),x)","\frac{b\,\ln\left(\frac{4\,\left(2\,a\,b-b^2+8\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-8\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a\,{\left(a-b\right)}^3}-\frac{8\,b+32\,a\,{\mathrm{e}}^{2\,c+2\,d\,x}-16\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}}{\sqrt{a}\,{\left(a-b\right)}^{5/2}}\right)}{2\,\sqrt{a}\,d\,{\left(a-b\right)}^{3/2}}-\frac{b\,\ln\left(\frac{8\,b+32\,a\,{\mathrm{e}}^{2\,c+2\,d\,x}-16\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}}{\sqrt{a}\,{\left(a-b\right)}^{5/2}}+\frac{4\,\left(2\,a\,b-b^2+8\,a^2\,{\mathrm{e}}^{2\,c+2\,d\,x}+b^2\,{\mathrm{e}}^{2\,c+2\,d\,x}-8\,a\,b\,{\mathrm{e}}^{2\,c+2\,d\,x}\right)}{a\,{\left(a-b\right)}^3}\right)}{2\,\sqrt{a}\,d\,{\left(a-b\right)}^{3/2}}-\frac{2}{\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(a\,d-b\,d\right)}","Not used",1,"(b*log((4*(2*a*b - b^2 + 8*a^2*exp(2*c + 2*d*x) + b^2*exp(2*c + 2*d*x) - 8*a*b*exp(2*c + 2*d*x)))/(a*(a - b)^3) - (8*b + 32*a*exp(2*c + 2*d*x) - 16*b*exp(2*c + 2*d*x))/(a^(1/2)*(a - b)^(5/2))))/(2*a^(1/2)*d*(a - b)^(3/2)) - (b*log((8*b + 32*a*exp(2*c + 2*d*x) - 16*b*exp(2*c + 2*d*x))/(a^(1/2)*(a - b)^(5/2)) + (4*(2*a*b - b^2 + 8*a^2*exp(2*c + 2*d*x) + b^2*exp(2*c + 2*d*x) - 8*a*b*exp(2*c + 2*d*x)))/(a*(a - b)^3)))/(2*a^(1/2)*d*(a - b)^(3/2)) - 2/((exp(2*c + 2*d*x) + 1)*(a*d - b*d))","B"
325,1,2797,92,6.137361,"\text{Not used}","int(1/(cosh(c + d*x)^3*(a + b*sinh(c + d*x)^2)),x)","\frac{{\mathrm{e}}^{c+d\,x}}{\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(a\,d-b\,d\right)}-\frac{2\,{\mathrm{e}}^{c+d\,x}}{\left(a\,d-b\,d\right)\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}+\frac{\left(2\,\mathrm{atan}\left(\frac{b^2\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\sqrt{a\,d^2\,{\left(a-b\right)}^4}}{2\,a\,d\,{\left(a-b\right)}^2\,\sqrt{b^3}}\right)-2\,\mathrm{atan}\left(\left({\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(\frac{64\,\left(20\,a^3\,d\,{\left(b^3\right)}^{5/2}-232\,a^6\,d\,{\left(b^3\right)}^{3/2}+2\,a^9\,d\,\sqrt{b^3}+2\,a\,b^5\,d\,{\left(b^3\right)}^{3/2}+10\,a^5\,b\,d\,{\left(b^3\right)}^{3/2}-22\,a^8\,b\,d\,\sqrt{b^3}-10\,a^2\,b^4\,d\,{\left(b^3\right)}^{3/2}-20\,a^4\,b^2\,d\,{\left(b^3\right)}^{3/2}-18\,a^2\,b^7\,d\,\sqrt{b^3}+102\,a^3\,b^6\,d\,\sqrt{b^3}-242\,a^4\,b^5\,d\,\sqrt{b^3}+310\,a^5\,b^4\,d\,\sqrt{b^3}+98\,a^7\,b^2\,d\,\sqrt{b^3}\right)}{a\,b^4\,{\left(a-b\right)}^5\,\left(a\,b-a^2\right)\,\left(a^2-2\,a\,b+b^2\right)\,\sqrt{a\,d^2\,{\left(a-b\right)}^4}\,\left(a^3-3\,a^2\,b+3\,a\,b^2-b^3\right)\,\left(a^3-6\,a^2\,b+9\,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{32\,\left(b^8\,\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}+36\,a^2\,b^6\,\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}-47\,a^3\,b^5\,\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}+30\,a^4\,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}-9\,a^5\,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}+a^6\,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}-12\,a\,b^7\,\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)}{a^2\,b^2\,d\,{\left(a-b\right)}^7\,\left(a\,b-a^2\right)\,\sqrt{b^3}\,\left(a^2-2\,a\,b+b^2\right)\,\left(a^3-3\,a^2\,b+3\,a\,b^2-b^3\right)\,\left(a^3-6\,a^2\,b+9\,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{32\,{\mathrm{e}}^{3\,c}\,{\mathrm{e}}^{3\,d\,x}\,\left(b^8\,\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}+36\,a^2\,b^6\,\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}-47\,a^3\,b^5\,\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}+30\,a^4\,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}-9\,a^5\,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}+a^6\,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}-12\,a\,b^7\,\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)}{a^2\,b^2\,d\,{\left(a-b\right)}^7\,\left(a\,b-a^2\right)\,\sqrt{b^3}\,\left(a^2-2\,a\,b+b^2\right)\,\left(a^3-3\,a^2\,b+3\,a\,b^2-b^3\right)\,\left(a^3-6\,a^2\,b+9\,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^2\,b^{10}\,\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}}{64}-\frac{a^3\,b^9\,\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}}{8}+\frac{7\,a^4\,b^8\,\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}}{16}-\frac{7\,a^5\,b^7\,\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}}{8}+\frac{35\,a^6\,b^6\,\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}}{32}-\frac{7\,a^7\,b^5\,\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}}{8}+\frac{7\,a^8\,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}}{16}-\frac{a^9\,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}}{8}+\frac{a^{10}\,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}}{64}\right)\right)\right)\,\sqrt{b^3}}{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}}+\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(a^7\,\sqrt{a^4\,d^2-4\,a^3\,b\,d^2+6\,a^2\,b^2\,d^2-4\,a\,b^3\,d^2+b^4\,d^2}-3\,b^7\,\sqrt{a^4\,d^2-4\,a^3\,b\,d^2+6\,a^2\,b^2\,d^2-4\,a\,b^3\,d^2+b^4\,d^2}+55\,a\,b^6\,\sqrt{a^4\,d^2-4\,a^3\,b\,d^2+6\,a^2\,b^2\,d^2-4\,a\,b^3\,d^2+b^4\,d^2}-15\,a^6\,b\,\sqrt{a^4\,d^2-4\,a^3\,b\,d^2+6\,a^2\,b^2\,d^2-4\,a\,b^3\,d^2+b^4\,d^2}-297\,a^2\,b^5\,\sqrt{a^4\,d^2-4\,a^3\,b\,d^2+6\,a^2\,b^2\,d^2-4\,a\,b^3\,d^2+b^4\,d^2}+423\,a^3\,b^4\,\sqrt{a^4\,d^2-4\,a^3\,b\,d^2+6\,a^2\,b^2\,d^2-4\,a\,b^3\,d^2+b^4\,d^2}-272\,a^4\,b^3\,\sqrt{a^4\,d^2-4\,a^3\,b\,d^2+6\,a^2\,b^2\,d^2-4\,a\,b^3\,d^2+b^4\,d^2}+90\,a^5\,b^2\,\sqrt{a^4\,d^2-4\,a^3\,b\,d^2+6\,a^2\,b^2\,d^2-4\,a\,b^3\,d^2+b^4\,d^2}\right)}{a^8\,d\,\sqrt{a^2-6\,a\,b+9\,b^2}+b^8\,d\,\sqrt{a^2-6\,a\,b+9\,b^2}+130\,a^2\,b^6\,d\,\sqrt{a^2-6\,a\,b+9\,b^2}-314\,a^3\,b^5\,d\,\sqrt{a^2-6\,a\,b+9\,b^2}+367\,a^4\,b^4\,d\,\sqrt{a^2-6\,a\,b+9\,b^2}-230\,a^5\,b^3\,d\,\sqrt{a^2-6\,a\,b+9\,b^2}+79\,a^6\,b^2\,d\,\sqrt{a^2-6\,a\,b+9\,b^2}-20\,a\,b^7\,d\,\sqrt{a^2-6\,a\,b+9\,b^2}-14\,a^7\,b\,d\,\sqrt{a^2-6\,a\,b+9\,b^2}}\right)\,\sqrt{a^2-6\,a\,b+9\,b^2}}{\sqrt{a^4\,d^2-4\,a^3\,b\,d^2+6\,a^2\,b^2\,d^2-4\,a\,b^3\,d^2+b^4\,d^2}}","Not used",1,"exp(c + d*x)/((exp(2*c + 2*d*x) + 1)*(a*d - b*d)) - (2*exp(c + d*x))/((a*d - b*d)*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1)) + ((2*atan((b^2*exp(d*x)*exp(c)*(a*d^2*(a - b)^4)^(1/2))/(2*a*d*(a - b)^2*(b^3)^(1/2))) - 2*atan((exp(d*x)*exp(c)*((64*(20*a^3*d*(b^3)^(5/2) - 232*a^6*d*(b^3)^(3/2) + 2*a^9*d*(b^3)^(1/2) + 2*a*b^5*d*(b^3)^(3/2) + 10*a^5*b*d*(b^3)^(3/2) - 22*a^8*b*d*(b^3)^(1/2) - 10*a^2*b^4*d*(b^3)^(3/2) - 20*a^4*b^2*d*(b^3)^(3/2) - 18*a^2*b^7*d*(b^3)^(1/2) + 102*a^3*b^6*d*(b^3)^(1/2) - 242*a^4*b^5*d*(b^3)^(1/2) + 310*a^5*b^4*d*(b^3)^(1/2) + 98*a^7*b^2*d*(b^3)^(1/2)))/(a*b^4*(a - b)^5*(a*b - a^2)*(a^2 - 2*a*b + b^2)*(a*d^2*(a - b)^4)^(1/2)*(3*a*b^2 - 3*a^2*b + a^3 - b^3)*(9*a*b^2 - 6*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)) - (32*(b^8*(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) + 36*a^2*b^6*(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) - 47*a^3*b^5*(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) + 30*a^4*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) - 9*a^5*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^6*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) - 12*a*b^7*(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^2*b^2*d*(a - b)^7*(a*b - a^2)*(b^3)^(1/2)*(a^2 - 2*a*b + b^2)*(3*a*b^2 - 3*a^2*b + a^3 - b^3)*(9*a*b^2 - 6*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))) + (32*exp(3*c)*exp(3*d*x)*(b^8*(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) + 36*a^2*b^6*(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) - 47*a^3*b^5*(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) + 30*a^4*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) - 9*a^5*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^6*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) - 12*a*b^7*(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^2*b^2*d*(a - b)^7*(a*b - a^2)*(b^3)^(1/2)*(a^2 - 2*a*b + b^2)*(3*a*b^2 - 3*a^2*b + a^3 - b^3)*(9*a*b^2 - 6*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^2*b^10*(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))/64 - (a^3*b^9*(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))/8 + (7*a^4*b^8*(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))/16 - (7*a^5*b^7*(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))/8 + (35*a^6*b^6*(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))/32 - (7*a^7*b^5*(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))/8 + (7*a^8*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))/16 - (a^9*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))/8 + (a^10*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))/64)))*(b^3)^(1/2))/(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)) + (atan((exp(d*x)*exp(c)*(a^7*(a^4*d^2 + b^4*d^2 - 4*a*b^3*d^2 - 4*a^3*b*d^2 + 6*a^2*b^2*d^2)^(1/2) - 3*b^7*(a^4*d^2 + b^4*d^2 - 4*a*b^3*d^2 - 4*a^3*b*d^2 + 6*a^2*b^2*d^2)^(1/2) + 55*a*b^6*(a^4*d^2 + b^4*d^2 - 4*a*b^3*d^2 - 4*a^3*b*d^2 + 6*a^2*b^2*d^2)^(1/2) - 15*a^6*b*(a^4*d^2 + b^4*d^2 - 4*a*b^3*d^2 - 4*a^3*b*d^2 + 6*a^2*b^2*d^2)^(1/2) - 297*a^2*b^5*(a^4*d^2 + b^4*d^2 - 4*a*b^3*d^2 - 4*a^3*b*d^2 + 6*a^2*b^2*d^2)^(1/2) + 423*a^3*b^4*(a^4*d^2 + b^4*d^2 - 4*a*b^3*d^2 - 4*a^3*b*d^2 + 6*a^2*b^2*d^2)^(1/2) - 272*a^4*b^3*(a^4*d^2 + b^4*d^2 - 4*a*b^3*d^2 - 4*a^3*b*d^2 + 6*a^2*b^2*d^2)^(1/2) + 90*a^5*b^2*(a^4*d^2 + b^4*d^2 - 4*a*b^3*d^2 - 4*a^3*b*d^2 + 6*a^2*b^2*d^2)^(1/2)))/(a^8*d*(a^2 - 6*a*b + 9*b^2)^(1/2) + b^8*d*(a^2 - 6*a*b + 9*b^2)^(1/2) + 130*a^2*b^6*d*(a^2 - 6*a*b + 9*b^2)^(1/2) - 314*a^3*b^5*d*(a^2 - 6*a*b + 9*b^2)^(1/2) + 367*a^4*b^4*d*(a^2 - 6*a*b + 9*b^2)^(1/2) - 230*a^5*b^3*d*(a^2 - 6*a*b + 9*b^2)^(1/2) + 79*a^6*b^2*d*(a^2 - 6*a*b + 9*b^2)^(1/2) - 20*a*b^7*d*(a^2 - 6*a*b + 9*b^2)^(1/2) - 14*a^7*b*d*(a^2 - 6*a*b + 9*b^2)^(1/2)))*(a^2 - 6*a*b + 9*b^2)^(1/2))/(a^4*d^2 + b^4*d^2 - 4*a*b^3*d^2 - 4*a^3*b*d^2 + 6*a^2*b^2*d^2)^(1/2)","B"
326,1,710,88,2.455951,"\text{Not used}","int(1/(cosh(c + d*x)^4*(a + b*sinh(c + d*x)^2)),x)","\frac{8}{3\,\left(a\,d-b\,d\right)\,\left(3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1\right)}-\frac{4}{\left(a\,d-b\,d\right)\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}+\frac{\mathrm{atan}\left(\left({\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\,\left(\frac{4}{d\,{\left(a-b\right)}^2\,\sqrt{b^4}\,\left(a^2-2\,a\,b+b^2\right)}+\frac{\left(2\,a-b\right)\,\left(2\,a^3\,d\,\sqrt{b^4}-b^3\,d\,\sqrt{b^4}+4\,a\,b^2\,d\,\sqrt{b^4}-5\,a^2\,b\,d\,\sqrt{b^4}\right)}{b^4\,\left(a^2-2\,a\,b+b^2\right)\,\sqrt{-a\,d^2\,{\left(a-b\right)}^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)+\frac{\left(2\,a-b\right)\,\left(b^3\,d\,\sqrt{b^4}-2\,a\,b^2\,d\,\sqrt{b^4}+a^2\,b\,d\,\sqrt{b^4}\right)}{b^4\,\left(a^2-2\,a\,b+b^2\right)\,\sqrt{-a\,d^2\,{\left(a-b\right)}^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)\,\left(\frac{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}}{2}-a\,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}+\frac{a^2\,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}\right)\right)\,\sqrt{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}}+\frac{2\,b}{\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,\left(a-b\right)\,\left(a\,d-b\,d\right)}","Not used",1,"8/(3*(a*d - b*d)*(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1)) - 4/((a*d - b*d)*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1)) + (atan((exp(2*c)*exp(2*d*x)*(4/(d*(a - b)^2*(b^4)^(1/2)*(a^2 - 2*a*b + b^2)) + ((2*a - b)*(2*a^3*d*(b^4)^(1/2) - b^3*d*(b^4)^(1/2) + 4*a*b^2*d*(b^4)^(1/2) - 5*a^2*b*d*(b^4)^(1/2)))/(b^4*(a^2 - 2*a*b + b^2)*(-a*d^2*(a - b)^5)^(1/2)*(a*b^5*d^2 - a^6*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*a - b)*(b^3*d*(b^4)^(1/2) - 2*a*b^2*d*(b^4)^(1/2) + a^2*b*d*(b^4)^(1/2)))/(b^4*(a^2 - 2*a*b + b^2)*(-a*d^2*(a - b)^5)^(1/2)*(a*b^5*d^2 - a^6*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)))*((b^3*(a*b^5*d^2 - a^6*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 - a*b^2*(a*b^5*d^2 - a^6*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*(a*b^5*d^2 - a^6*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^4)^(1/2))/(a*b^5*d^2 - a^6*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)/((exp(2*c + 2*d*x) + 1)*(a - b)*(a*d - b*d))","B"
327,1,6237,138,12.047015,"\text{Not used}","int(1/(cosh(c + d*x)^5*(a + b*sinh(c + d*x)^2)),x)","\frac{4\,{\mathrm{e}}^{c+d\,x}}{\left(a\,d-b\,d\right)\,\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{6\,{\mathrm{e}}^{c+d\,x}}{\left(a\,d-b\,d\right)\,\left(3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1\right)}+\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(243\,a^{12}\,\sqrt{a^6\,d^2-6\,a^5\,b\,d^2+15\,a^4\,b^2\,d^2-20\,a^3\,b^3\,d^2+15\,a^2\,b^4\,d^2-6\,a\,b^5\,d^2+b^6\,d^2}+3840\,b^{12}\,\sqrt{a^6\,d^2-6\,a^5\,b\,d^2+15\,a^4\,b^2\,d^2-20\,a^3\,b^3\,d^2+15\,a^2\,b^4\,d^2-6\,a\,b^5\,d^2+b^6\,d^2}-110560\,a\,b^{11}\,\sqrt{a^6\,d^2-6\,a^5\,b\,d^2+15\,a^4\,b^2\,d^2-20\,a^3\,b^3\,d^2+15\,a^2\,b^4\,d^2-6\,a\,b^5\,d^2+b^6\,d^2}-4050\,a^{11}\,b\,\sqrt{a^6\,d^2-6\,a^5\,b\,d^2+15\,a^4\,b^2\,d^2-20\,a^3\,b^3\,d^2+15\,a^2\,b^4\,d^2-6\,a\,b^5\,d^2+b^6\,d^2}+976143\,a^2\,b^{10}\,\sqrt{a^6\,d^2-6\,a^5\,b\,d^2+15\,a^4\,b^2\,d^2-20\,a^3\,b^3\,d^2+15\,a^2\,b^4\,d^2-6\,a\,b^5\,d^2+b^6\,d^2}-2740050\,a^3\,b^9\,\sqrt{a^6\,d^2-6\,a^5\,b\,d^2+15\,a^4\,b^2\,d^2-20\,a^3\,b^3\,d^2+15\,a^2\,b^4\,d^2-6\,a\,b^5\,d^2+b^6\,d^2}+4252775\,a^4\,b^8\,\sqrt{a^6\,d^2-6\,a^5\,b\,d^2+15\,a^4\,b^2\,d^2-20\,a^3\,b^3\,d^2+15\,a^2\,b^4\,d^2-6\,a\,b^5\,d^2+b^6\,d^2}-4316760\,a^5\,b^7\,\sqrt{a^6\,d^2-6\,a^5\,b\,d^2+15\,a^4\,b^2\,d^2-20\,a^3\,b^3\,d^2+15\,a^2\,b^4\,d^2-6\,a\,b^5\,d^2+b^6\,d^2}+3087390\,a^6\,b^6\,\sqrt{a^6\,d^2-6\,a^5\,b\,d^2+15\,a^4\,b^2\,d^2-20\,a^3\,b^3\,d^2+15\,a^2\,b^4\,d^2-6\,a\,b^5\,d^2+b^6\,d^2}-1608364\,a^7\,b^5\,\sqrt{a^6\,d^2-6\,a^5\,b\,d^2+15\,a^4\,b^2\,d^2-20\,a^3\,b^3\,d^2+15\,a^2\,b^4\,d^2-6\,a\,b^5\,d^2+b^6\,d^2}+615750\,a^8\,b^4\,\sqrt{a^6\,d^2-6\,a^5\,b\,d^2+15\,a^4\,b^2\,d^2-20\,a^3\,b^3\,d^2+15\,a^2\,b^4\,d^2-6\,a\,b^5\,d^2+b^6\,d^2}-171000\,a^9\,b^3\,\sqrt{a^6\,d^2-6\,a^5\,b\,d^2+15\,a^4\,b^2\,d^2-20\,a^3\,b^3\,d^2+15\,a^2\,b^4\,d^2-6\,a\,b^5\,d^2+b^6\,d^2}+33075\,a^{10}\,b^2\,\sqrt{a^6\,d^2-6\,a^5\,b\,d^2+15\,a^4\,b^2\,d^2-20\,a^3\,b^3\,d^2+15\,a^2\,b^4\,d^2-6\,a\,b^5\,d^2+b^6\,d^2}\right)}{81\,a^{13}\,d\,\sqrt{9\,a^4-60\,a^3\,b+190\,a^2\,b^2-300\,a\,b^3+225\,b^4}-256\,b^{13}\,d\,\sqrt{9\,a^4-60\,a^3\,b+190\,a^2\,b^2-300\,a\,b^3+225\,b^4}-82593\,a^2\,b^{11}\,d\,\sqrt{9\,a^4-60\,a^3\,b+190\,a^2\,b^2-300\,a\,b^3+225\,b^4}+343611\,a^3\,b^{10}\,d\,\sqrt{9\,a^4-60\,a^3\,b+190\,a^2\,b^2-300\,a\,b^3+225\,b^4}-788535\,a^4\,b^9\,d\,\sqrt{9\,a^4-60\,a^3\,b+190\,a^2\,b^2-300\,a\,b^3+225\,b^4}+1157013\,a^5\,b^8\,d\,\sqrt{9\,a^4-60\,a^3\,b+190\,a^2\,b^2-300\,a\,b^3+225\,b^4}-1173354\,a^6\,b^7\,d\,\sqrt{9\,a^4-60\,a^3\,b+190\,a^2\,b^2-300\,a\,b^3+225\,b^4}+857934\,a^7\,b^6\,d\,\sqrt{9\,a^4-60\,a^3\,b+190\,a^2\,b^2-300\,a\,b^3+225\,b^4}-461358\,a^8\,b^5\,d\,\sqrt{9\,a^4-60\,a^3\,b+190\,a^2\,b^2-300\,a\,b^3+225\,b^4}+182890\,a^9\,b^4\,d\,\sqrt{9\,a^4-60\,a^3\,b+190\,a^2\,b^2-300\,a\,b^3+225\,b^4}-52581\,a^{10}\,b^3\,d\,\sqrt{9\,a^4-60\,a^3\,b+190\,a^2\,b^2-300\,a\,b^3+225\,b^4}+10503\,a^{11}\,b^2\,d\,\sqrt{9\,a^4-60\,a^3\,b+190\,a^2\,b^2-300\,a\,b^3+225\,b^4}+7968\,a\,b^{12}\,d\,\sqrt{9\,a^4-60\,a^3\,b+190\,a^2\,b^2-300\,a\,b^3+225\,b^4}-1323\,a^{12}\,b\,d\,\sqrt{9\,a^4-60\,a^3\,b+190\,a^2\,b^2-300\,a\,b^3+225\,b^4}}\right)\,\sqrt{9\,a^4-60\,a^3\,b+190\,a^2\,b^2-300\,a\,b^3+225\,b^4}}{4\,\sqrt{a^6\,d^2-6\,a^5\,b\,d^2+15\,a^4\,b^2\,d^2-20\,a^3\,b^3\,d^2+15\,a^2\,b^4\,d^2-6\,a\,b^5\,d^2+b^6\,d^2}}-\frac{\left(2\,\mathrm{atan}\left(\frac{b^3\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\sqrt{a\,d^2\,{\left(a-b\right)}^6}}{2\,a\,d\,{\left(a-b\right)}^3\,\sqrt{b^5}}\right)-2\,\mathrm{atan}\left(\left({\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\left(\frac{4\,\left(4032\,a^5\,d\,{\left(b^5\right)}^{5/2}-74990\,a^{10}\,d\,{\left(b^5\right)}^{3/2}+18\,a^{15}\,d\,\sqrt{b^5}+32\,a\,b^9\,d\,{\left(b^5\right)}^{3/2}+288\,a^9\,b\,d\,{\left(b^5\right)}^{3/2}-282\,a^{14}\,b\,d\,\sqrt{b^5}-288\,a^2\,b^8\,d\,{\left(b^5\right)}^{3/2}+1152\,a^3\,b^7\,d\,{\left(b^5\right)}^{3/2}-2688\,a^4\,b^6\,d\,{\left(b^5\right)}^{3/2}-4032\,a^6\,b^4\,d\,{\left(b^5\right)}^{3/2}+2688\,a^7\,b^3\,d\,{\left(b^5\right)}^{3/2}-1152\,a^8\,b^2\,d\,{\left(b^5\right)}^{3/2}-450\,a^2\,b^{13}\,d\,\sqrt{b^5}+4650\,a^3\,b^{12}\,d\,\sqrt{b^5}-21980\,a^4\,b^{11}\,d\,\sqrt{b^5}+62940\,a^5\,b^{10}\,d\,\sqrt{b^5}-121878\,a^6\,b^9\,d\,\sqrt{b^5}+168702\,a^7\,b^8\,d\,\sqrt{b^5}-172008\,a^8\,b^7\,d\,\sqrt{b^5}+131112\,a^9\,b^6\,d\,\sqrt{b^5}+31878\,a^{11}\,b^4\,d\,\sqrt{b^5}-9852\,a^{12}\,b^3\,d\,\sqrt{b^5}+2108\,a^{13}\,b^2\,d\,\sqrt{b^5}\right)}{a\,b^4\,{\left(a-b\right)}^7\,\left(a\,b-a^2\right)\,\sqrt{a\,d^2\,{\left(a-b\right)}^6}\,\left(a^3-3\,a^2\,b+3\,a\,b^2-b^3\right)\,\left(a^4-4\,a^3\,b+6\,a^2\,b^2-4\,a\,b^3+b^4\right)\,\left(9\,a^5-60\,a^4\,b+190\,a^3\,b^2-300\,a^2\,b^3+225\,a\,b^4-16\,b^5\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}\,\left(a^6-6\,a^5\,b+15\,a^4\,b^2-20\,a^3\,b^3+15\,a^2\,b^4-6\,a\,b^5+b^6\right)}+\frac{2\,\left(16\,b^{14}\,\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}-321\,a\,b^{13}\,\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}+1890\,a^2\,b^{12}\,\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}-5685\,a^3\,b^{11}\,\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}+10440\,a^4\,b^{10}\,\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}-12690\,a^5\,b^9\,\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}+10620\,a^6\,b^8\,\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}-6210\,a^7\,b^7\,\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}+2520\,a^8\,b^6\,\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}-685\,a^9\,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}+114\,a^{10}\,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}-9\,a^{11}\,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}\right)}{a^2\,b\,d\,{\left(a-b\right)}^{10}\,\left(a\,b-a^2\right)\,\sqrt{b^5}\,\left(a^3-3\,a^2\,b+3\,a\,b^2-b^3\right)\,\left(a^4-4\,a^3\,b+6\,a^2\,b^2-4\,a\,b^3+b^4\right)\,\left(9\,a^5-60\,a^4\,b+190\,a^3\,b^2-300\,a^2\,b^3+225\,a\,b^4-16\,b^5\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}\,\left(a^6-6\,a^5\,b+15\,a^4\,b^2-20\,a^3\,b^3+15\,a^2\,b^4-6\,a\,b^5+b^6\right)}\right)-\frac{2\,{\mathrm{e}}^{3\,c}\,{\mathrm{e}}^{3\,d\,x}\,\left(16\,b^{14}\,\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}-321\,a\,b^{13}\,\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}+1890\,a^2\,b^{12}\,\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}-5685\,a^3\,b^{11}\,\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}+10440\,a^4\,b^{10}\,\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}-12690\,a^5\,b^9\,\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}+10620\,a^6\,b^8\,\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}-6210\,a^7\,b^7\,\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}+2520\,a^8\,b^6\,\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}-685\,a^9\,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}+114\,a^{10}\,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}-9\,a^{11}\,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}\right)}{a^2\,b\,d\,{\left(a-b\right)}^{10}\,\left(a\,b-a^2\right)\,\sqrt{b^5}\,\left(a^3-3\,a^2\,b+3\,a\,b^2-b^3\right)\,\left(a^4-4\,a^3\,b+6\,a^2\,b^2-4\,a\,b^3+b^4\right)\,\left(9\,a^5-60\,a^4\,b+190\,a^3\,b^2-300\,a^2\,b^3+225\,a\,b^4-16\,b^5\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}\,\left(a^6-6\,a^5\,b+15\,a^4\,b^2-20\,a^3\,b^3+15\,a^2\,b^4-6\,a\,b^5+b^6\right)}\right)\,\left(\frac{a^{17}\,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}}{4}-\frac{a^2\,b^{16}\,\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}}{4}+\frac{15\,a^3\,b^{15}\,\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}}{4}-\frac{105\,a^4\,b^{14}\,\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}}{4}+\frac{455\,a^5\,b^{13}\,\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}}{4}-\frac{1365\,a^6\,b^{12}\,\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}}{4}+\frac{3003\,a^7\,b^{11}\,\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}}{4}-\frac{5005\,a^8\,b^{10}\,\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}}{4}+\frac{6435\,a^9\,b^9\,\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}}{4}-\frac{6435\,a^{10}\,b^8\,\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}}{4}+\frac{5005\,a^{11}\,b^7\,\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}}{4}-\frac{3003\,a^{12}\,b^6\,\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}}{4}+\frac{1365\,a^{13}\,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}}{4}-\frac{455\,a^{14}\,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}}{4}+\frac{105\,a^{15}\,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}}{4}-\frac{15\,a^{16}\,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}}{4}\right)\right)\right)\,\sqrt{b^5}}{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}}+\frac{{\mathrm{e}}^{c+d\,x}\,\left(a+3\,b\right)}{2\,\left(a-b\right)\,\left(a\,d-b\,d\right)\,\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(3\,a^2-10\,a\,b+7\,b^2\right)}{4\,\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,{\left(a-b\right)}^2\,\left(a\,d-b\,d\right)}","Not used",1,"(4*exp(c + d*x))/((a*d - 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)) - (6*exp(c + d*x))/((a*d - b*d)*(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1)) + (atan((exp(d*x)*exp(c)*(243*a^12*(a^6*d^2 + b^6*d^2 - 6*a*b^5*d^2 - 6*a^5*b*d^2 + 15*a^2*b^4*d^2 - 20*a^3*b^3*d^2 + 15*a^4*b^2*d^2)^(1/2) + 3840*b^12*(a^6*d^2 + b^6*d^2 - 6*a*b^5*d^2 - 6*a^5*b*d^2 + 15*a^2*b^4*d^2 - 20*a^3*b^3*d^2 + 15*a^4*b^2*d^2)^(1/2) - 110560*a*b^11*(a^6*d^2 + b^6*d^2 - 6*a*b^5*d^2 - 6*a^5*b*d^2 + 15*a^2*b^4*d^2 - 20*a^3*b^3*d^2 + 15*a^4*b^2*d^2)^(1/2) - 4050*a^11*b*(a^6*d^2 + b^6*d^2 - 6*a*b^5*d^2 - 6*a^5*b*d^2 + 15*a^2*b^4*d^2 - 20*a^3*b^3*d^2 + 15*a^4*b^2*d^2)^(1/2) + 976143*a^2*b^10*(a^6*d^2 + b^6*d^2 - 6*a*b^5*d^2 - 6*a^5*b*d^2 + 15*a^2*b^4*d^2 - 20*a^3*b^3*d^2 + 15*a^4*b^2*d^2)^(1/2) - 2740050*a^3*b^9*(a^6*d^2 + b^6*d^2 - 6*a*b^5*d^2 - 6*a^5*b*d^2 + 15*a^2*b^4*d^2 - 20*a^3*b^3*d^2 + 15*a^4*b^2*d^2)^(1/2) + 4252775*a^4*b^8*(a^6*d^2 + b^6*d^2 - 6*a*b^5*d^2 - 6*a^5*b*d^2 + 15*a^2*b^4*d^2 - 20*a^3*b^3*d^2 + 15*a^4*b^2*d^2)^(1/2) - 4316760*a^5*b^7*(a^6*d^2 + b^6*d^2 - 6*a*b^5*d^2 - 6*a^5*b*d^2 + 15*a^2*b^4*d^2 - 20*a^3*b^3*d^2 + 15*a^4*b^2*d^2)^(1/2) + 3087390*a^6*b^6*(a^6*d^2 + b^6*d^2 - 6*a*b^5*d^2 - 6*a^5*b*d^2 + 15*a^2*b^4*d^2 - 20*a^3*b^3*d^2 + 15*a^4*b^2*d^2)^(1/2) - 1608364*a^7*b^5*(a^6*d^2 + b^6*d^2 - 6*a*b^5*d^2 - 6*a^5*b*d^2 + 15*a^2*b^4*d^2 - 20*a^3*b^3*d^2 + 15*a^4*b^2*d^2)^(1/2) + 615750*a^8*b^4*(a^6*d^2 + b^6*d^2 - 6*a*b^5*d^2 - 6*a^5*b*d^2 + 15*a^2*b^4*d^2 - 20*a^3*b^3*d^2 + 15*a^4*b^2*d^2)^(1/2) - 171000*a^9*b^3*(a^6*d^2 + b^6*d^2 - 6*a*b^5*d^2 - 6*a^5*b*d^2 + 15*a^2*b^4*d^2 - 20*a^3*b^3*d^2 + 15*a^4*b^2*d^2)^(1/2) + 33075*a^10*b^2*(a^6*d^2 + b^6*d^2 - 6*a*b^5*d^2 - 6*a^5*b*d^2 + 15*a^2*b^4*d^2 - 20*a^3*b^3*d^2 + 15*a^4*b^2*d^2)^(1/2)))/(81*a^13*d*(9*a^4 - 60*a^3*b - 300*a*b^3 + 225*b^4 + 190*a^2*b^2)^(1/2) - 256*b^13*d*(9*a^4 - 60*a^3*b - 300*a*b^3 + 225*b^4 + 190*a^2*b^2)^(1/2) - 82593*a^2*b^11*d*(9*a^4 - 60*a^3*b - 300*a*b^3 + 225*b^4 + 190*a^2*b^2)^(1/2) + 343611*a^3*b^10*d*(9*a^4 - 60*a^3*b - 300*a*b^3 + 225*b^4 + 190*a^2*b^2)^(1/2) - 788535*a^4*b^9*d*(9*a^4 - 60*a^3*b - 300*a*b^3 + 225*b^4 + 190*a^2*b^2)^(1/2) + 1157013*a^5*b^8*d*(9*a^4 - 60*a^3*b - 300*a*b^3 + 225*b^4 + 190*a^2*b^2)^(1/2) - 1173354*a^6*b^7*d*(9*a^4 - 60*a^3*b - 300*a*b^3 + 225*b^4 + 190*a^2*b^2)^(1/2) + 857934*a^7*b^6*d*(9*a^4 - 60*a^3*b - 300*a*b^3 + 225*b^4 + 190*a^2*b^2)^(1/2) - 461358*a^8*b^5*d*(9*a^4 - 60*a^3*b - 300*a*b^3 + 225*b^4 + 190*a^2*b^2)^(1/2) + 182890*a^9*b^4*d*(9*a^4 - 60*a^3*b - 300*a*b^3 + 225*b^4 + 190*a^2*b^2)^(1/2) - 52581*a^10*b^3*d*(9*a^4 - 60*a^3*b - 300*a*b^3 + 225*b^4 + 190*a^2*b^2)^(1/2) + 10503*a^11*b^2*d*(9*a^4 - 60*a^3*b - 300*a*b^3 + 225*b^4 + 190*a^2*b^2)^(1/2) + 7968*a*b^12*d*(9*a^4 - 60*a^3*b - 300*a*b^3 + 225*b^4 + 190*a^2*b^2)^(1/2) - 1323*a^12*b*d*(9*a^4 - 60*a^3*b - 300*a*b^3 + 225*b^4 + 190*a^2*b^2)^(1/2)))*(9*a^4 - 60*a^3*b - 300*a*b^3 + 225*b^4 + 190*a^2*b^2)^(1/2))/(4*(a^6*d^2 + b^6*d^2 - 6*a*b^5*d^2 - 6*a^5*b*d^2 + 15*a^2*b^4*d^2 - 20*a^3*b^3*d^2 + 15*a^4*b^2*d^2)^(1/2)) - ((2*atan((b^3*exp(d*x)*exp(c)*(a*d^2*(a - b)^6)^(1/2))/(2*a*d*(a - b)^3*(b^5)^(1/2))) - 2*atan((exp(d*x)*exp(c)*((4*(4032*a^5*d*(b^5)^(5/2) - 74990*a^10*d*(b^5)^(3/2) + 18*a^15*d*(b^5)^(1/2) + 32*a*b^9*d*(b^5)^(3/2) + 288*a^9*b*d*(b^5)^(3/2) - 282*a^14*b*d*(b^5)^(1/2) - 288*a^2*b^8*d*(b^5)^(3/2) + 1152*a^3*b^7*d*(b^5)^(3/2) - 2688*a^4*b^6*d*(b^5)^(3/2) - 4032*a^6*b^4*d*(b^5)^(3/2) + 2688*a^7*b^3*d*(b^5)^(3/2) - 1152*a^8*b^2*d*(b^5)^(3/2) - 450*a^2*b^13*d*(b^5)^(1/2) + 4650*a^3*b^12*d*(b^5)^(1/2) - 21980*a^4*b^11*d*(b^5)^(1/2) + 62940*a^5*b^10*d*(b^5)^(1/2) - 121878*a^6*b^9*d*(b^5)^(1/2) + 168702*a^7*b^8*d*(b^5)^(1/2) - 172008*a^8*b^7*d*(b^5)^(1/2) + 131112*a^9*b^6*d*(b^5)^(1/2) + 31878*a^11*b^4*d*(b^5)^(1/2) - 9852*a^12*b^3*d*(b^5)^(1/2) + 2108*a^13*b^2*d*(b^5)^(1/2)))/(a*b^4*(a - b)^7*(a*b - a^2)*(a*d^2*(a - b)^6)^(1/2)*(3*a*b^2 - 3*a^2*b + a^3 - b^3)*(a^4 - 4*a^3*b - 4*a*b^3 + b^4 + 6*a^2*b^2)*(225*a*b^4 - 60*a^4*b + 9*a^5 - 16*b^5 - 300*a^2*b^3 + 190*a^3*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)*(a^6 - 6*a^5*b - 6*a*b^5 + b^6 + 15*a^2*b^4 - 20*a^3*b^3 + 15*a^4*b^2)) + (2*(16*b^14*(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) - 321*a*b^13*(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) + 1890*a^2*b^12*(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) - 5685*a^3*b^11*(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) + 10440*a^4*b^10*(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) - 12690*a^5*b^9*(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) + 10620*a^6*b^8*(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) - 6210*a^7*b^7*(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) + 2520*a^8*b^6*(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) - 685*a^9*b^5*(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) + 114*a^10*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) - 9*a^11*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^2*b*d*(a - b)^10*(a*b - a^2)*(b^5)^(1/2)*(3*a*b^2 - 3*a^2*b + a^3 - b^3)*(a^4 - 4*a^3*b - 4*a*b^3 + b^4 + 6*a^2*b^2)*(225*a*b^4 - 60*a^4*b + 9*a^5 - 16*b^5 - 300*a^2*b^3 + 190*a^3*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)*(a^6 - 6*a^5*b - 6*a*b^5 + b^6 + 15*a^2*b^4 - 20*a^3*b^3 + 15*a^4*b^2))) - (2*exp(3*c)*exp(3*d*x)*(16*b^14*(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) - 321*a*b^13*(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) + 1890*a^2*b^12*(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) - 5685*a^3*b^11*(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) + 10440*a^4*b^10*(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) - 12690*a^5*b^9*(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) + 10620*a^6*b^8*(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) - 6210*a^7*b^7*(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) + 2520*a^8*b^6*(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) - 685*a^9*b^5*(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) + 114*a^10*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) - 9*a^11*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^2*b*d*(a - b)^10*(a*b - a^2)*(b^5)^(1/2)*(3*a*b^2 - 3*a^2*b + a^3 - b^3)*(a^4 - 4*a^3*b - 4*a*b^3 + b^4 + 6*a^2*b^2)*(225*a*b^4 - 60*a^4*b + 9*a^5 - 16*b^5 - 300*a^2*b^3 + 190*a^3*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)*(a^6 - 6*a^5*b - 6*a*b^5 + b^6 + 15*a^2*b^4 - 20*a^3*b^3 + 15*a^4*b^2)))*((a^17*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))/4 - (a^2*b^16*(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))/4 + (15*a^3*b^15*(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))/4 - (105*a^4*b^14*(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))/4 + (455*a^5*b^13*(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))/4 - (1365*a^6*b^12*(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))/4 + (3003*a^7*b^11*(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))/4 - (5005*a^8*b^10*(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))/4 + (6435*a^9*b^9*(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))/4 - (6435*a^10*b^8*(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))/4 + (5005*a^11*b^7*(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))/4 - (3003*a^12*b^6*(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))/4 + (1365*a^13*b^5*(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))/4 - (455*a^14*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))/4 + (105*a^15*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))/4 - (15*a^16*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))/4)))*(b^5)^(1/2))/(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(c + d*x)*(a + 3*b))/(2*(a - b)*(a*d - b*d)*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1)) + (exp(c + d*x)*(3*a^2 - 10*a*b + 7*b^2))/(4*(exp(2*c + 2*d*x) + 1)*(a - b)^2*(a*d - b*d))","B"
328,1,1152,126,2.891330,"\text{Not used}","int(1/(cosh(c + d*x)^6*(a + b*sinh(c + d*x)^2)),x)","\frac{16}{\left(a\,d-b\,d\right)\,\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}{5\,\left(a\,d-b\,d\right)\,\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{atan}\left(\left({\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\,\left(\frac{4\,b}{d\,{\left(a-b\right)}^3\,\sqrt{b^6}\,\left(a^3-3\,a^2\,b+3\,a\,b^2-b^3\right)}+\frac{\left(2\,a-b\right)\,\left(2\,a^4\,d\,\sqrt{b^6}+b^4\,d\,\sqrt{b^6}-5\,a\,b^3\,d\,\sqrt{b^6}-7\,a^3\,b\,d\,\sqrt{b^6}+9\,a^2\,b^2\,d\,\sqrt{b^6}\right)}{b^5\,\sqrt{-a\,d^2\,{\left(a-b\right)}^7}\,\left(a^3-3\,a^2\,b+3\,a\,b^2-b^3\right)\,\sqrt{-a^8\,d^2+7\,a^7\,b\,d^2-21\,a^6\,b^2\,d^2+35\,a^5\,b^3\,d^2-35\,a^4\,b^4\,d^2+21\,a^3\,b^5\,d^2-7\,a^2\,b^6\,d^2+a\,b^7\,d^2}}\right)-\frac{\left(2\,a-b\right)\,\left(b^4\,d\,\sqrt{b^6}-3\,a\,b^3\,d\,\sqrt{b^6}-a^3\,b\,d\,\sqrt{b^6}+3\,a^2\,b^2\,d\,\sqrt{b^6}\right)}{b^5\,\sqrt{-a\,d^2\,{\left(a-b\right)}^7}\,\left(a^3-3\,a^2\,b+3\,a\,b^2-b^3\right)\,\sqrt{-a^8\,d^2+7\,a^7\,b\,d^2-21\,a^6\,b^2\,d^2+35\,a^5\,b^3\,d^2-35\,a^4\,b^4\,d^2+21\,a^3\,b^5\,d^2-7\,a^2\,b^6\,d^2+a\,b^7\,d^2}}\right)\,\left(\frac{b^4\,\sqrt{-a^8\,d^2+7\,a^7\,b\,d^2-21\,a^6\,b^2\,d^2+35\,a^5\,b^3\,d^2-35\,a^4\,b^4\,d^2+21\,a^3\,b^5\,d^2-7\,a^2\,b^6\,d^2+a\,b^7\,d^2}}{2}+\frac{3\,a^2\,b^2\,\sqrt{-a^8\,d^2+7\,a^7\,b\,d^2-21\,a^6\,b^2\,d^2+35\,a^5\,b^3\,d^2-35\,a^4\,b^4\,d^2+21\,a^3\,b^5\,d^2-7\,a^2\,b^6\,d^2+a\,b^7\,d^2}}{2}-\frac{3\,a\,b^3\,\sqrt{-a^8\,d^2+7\,a^7\,b\,d^2-21\,a^6\,b^2\,d^2+35\,a^5\,b^3\,d^2-35\,a^4\,b^4\,d^2+21\,a^3\,b^5\,d^2-7\,a^2\,b^6\,d^2+a\,b^7\,d^2}}{2}-\frac{a^3\,b\,\sqrt{-a^8\,d^2+7\,a^7\,b\,d^2-21\,a^6\,b^2\,d^2+35\,a^5\,b^3\,d^2-35\,a^4\,b^4\,d^2+21\,a^3\,b^5\,d^2-7\,a^2\,b^6\,d^2+a\,b^7\,d^2}}{2}\right)\right)\,\sqrt{b^6}}{\sqrt{-a^8\,d^2+7\,a^7\,b\,d^2-21\,a^6\,b^2\,d^2+35\,a^5\,b^3\,d^2-35\,a^4\,b^4\,d^2+21\,a^3\,b^5\,d^2-7\,a^2\,b^6\,d^2+a\,b^7\,d^2}}-\frac{2\,b^2}{\left({\mathrm{e}}^{2\,c+2\,d\,x}+1\right)\,{\left(a-b\right)}^2\,\left(a\,d-b\,d\right)}+\frac{4\,\left(a\,b-b^2\right)}{{\left(a-b\right)}^2\,\left(a\,d-b\,d\right)\,\left(2\,{\mathrm{e}}^{2\,c+2\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}-\frac{8\,\left(4\,a-3\,b\right)}{3\,\left(a-b\right)\,\left(a\,d-b\,d\right)\,\left(3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1\right)}","Not used",1,"16/((a*d - 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)) - 32/(5*(a*d - b*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)) + (atan((exp(2*c)*exp(2*d*x)*((4*b)/(d*(a - b)^3*(b^6)^(1/2)*(3*a*b^2 - 3*a^2*b + a^3 - b^3)) + ((2*a - b)*(2*a^4*d*(b^6)^(1/2) + b^4*d*(b^6)^(1/2) - 5*a*b^3*d*(b^6)^(1/2) - 7*a^3*b*d*(b^6)^(1/2) + 9*a^2*b^2*d*(b^6)^(1/2)))/(b^5*(-a*d^2*(a - b)^7)^(1/2)*(3*a*b^2 - 3*a^2*b + a^3 - b^3)*(a*b^7*d^2 - a^8*d^2 + 7*a^7*b*d^2 - 7*a^2*b^6*d^2 + 21*a^3*b^5*d^2 - 35*a^4*b^4*d^2 + 35*a^5*b^3*d^2 - 21*a^6*b^2*d^2)^(1/2))) - ((2*a - b)*(b^4*d*(b^6)^(1/2) - 3*a*b^3*d*(b^6)^(1/2) - a^3*b*d*(b^6)^(1/2) + 3*a^2*b^2*d*(b^6)^(1/2)))/(b^5*(-a*d^2*(a - b)^7)^(1/2)*(3*a*b^2 - 3*a^2*b + a^3 - b^3)*(a*b^7*d^2 - a^8*d^2 + 7*a^7*b*d^2 - 7*a^2*b^6*d^2 + 21*a^3*b^5*d^2 - 35*a^4*b^4*d^2 + 35*a^5*b^3*d^2 - 21*a^6*b^2*d^2)^(1/2)))*((b^4*(a*b^7*d^2 - a^8*d^2 + 7*a^7*b*d^2 - 7*a^2*b^6*d^2 + 21*a^3*b^5*d^2 - 35*a^4*b^4*d^2 + 35*a^5*b^3*d^2 - 21*a^6*b^2*d^2)^(1/2))/2 + (3*a^2*b^2*(a*b^7*d^2 - a^8*d^2 + 7*a^7*b*d^2 - 7*a^2*b^6*d^2 + 21*a^3*b^5*d^2 - 35*a^4*b^4*d^2 + 35*a^5*b^3*d^2 - 21*a^6*b^2*d^2)^(1/2))/2 - (3*a*b^3*(a*b^7*d^2 - a^8*d^2 + 7*a^7*b*d^2 - 7*a^2*b^6*d^2 + 21*a^3*b^5*d^2 - 35*a^4*b^4*d^2 + 35*a^5*b^3*d^2 - 21*a^6*b^2*d^2)^(1/2))/2 - (a^3*b*(a*b^7*d^2 - a^8*d^2 + 7*a^7*b*d^2 - 7*a^2*b^6*d^2 + 21*a^3*b^5*d^2 - 35*a^4*b^4*d^2 + 35*a^5*b^3*d^2 - 21*a^6*b^2*d^2)^(1/2))/2))*(b^6)^(1/2))/(a*b^7*d^2 - a^8*d^2 + 7*a^7*b*d^2 - 7*a^2*b^6*d^2 + 21*a^3*b^5*d^2 - 35*a^4*b^4*d^2 + 35*a^5*b^3*d^2 - 21*a^6*b^2*d^2)^(1/2) - (2*b^2)/((exp(2*c + 2*d*x) + 1)*(a - b)^2*(a*d - b*d)) + (4*(a*b - b^2))/((a - b)^2*(a*d - b*d)*(2*exp(2*c + 2*d*x) + exp(4*c + 4*d*x) + 1)) - (8*(4*a - 3*b))/(3*(a - b)*(a*d - b*d)*(3*exp(2*c + 2*d*x) + 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) + 1))","B"
329,0,-1,158,0.000000,"\text{Not used}","int(cosh(c + d*x)^6/(a + b*sinh(c + d*x)^2)^2,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^6}{{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(cosh(c + d*x)^6/(a + b*sinh(c + d*x)^2)^2, x)","F"
330,0,-1,104,0.000000,"\text{Not used}","int(cosh(c + d*x)^5/(a + b*sinh(c + d*x)^2)^2,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^5}{{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(cosh(c + d*x)^5/(a + b*sinh(c + d*x)^2)^2, x)","F"
331,0,-1,100,0.000000,"\text{Not used}","int(cosh(c + d*x)^4/(a + b*sinh(c + d*x)^2)^2,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^4}{{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(cosh(c + d*x)^4/(a + b*sinh(c + d*x)^2)^2, x)","F"
332,0,-1,77,0.000000,"\text{Not used}","int(cosh(c + d*x)^3/(a + b*sinh(c + d*x)^2)^2,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^3}{{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(cosh(c + d*x)^3/(a + b*sinh(c + d*x)^2)^2, x)","F"
333,0,-1,79,0.000000,"\text{Not used}","int(cosh(c + d*x)^2/(a + b*sinh(c + d*x)^2)^2,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^2}{{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(cosh(c + d*x)^2/(a + b*sinh(c + d*x)^2)^2, x)","F"
334,1,54,66,0.914491,"\text{Not used}","int(cosh(c + d*x)/(a + b*sinh(c + d*x)^2)^2,x)","\frac{\mathrm{sinh}\left(c+d\,x\right)}{2\,a\,\left(b\,d\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\,d\right)}+\frac{\mathrm{atan}\left(\frac{\sqrt{b}\,\mathrm{sinh}\left(c+d\,x\right)}{\sqrt{a}}\right)}{2\,a^{3/2}\,\sqrt{b}\,d}","Not used",1,"sinh(c + d*x)/(2*a*(a*d + b*d*sinh(c + d*x)^2)) + atan((b^(1/2)*sinh(c + d*x))/a^(1/2))/(2*a^(3/2)*b^(1/2)*d)","B"
335,0,-1,106,0.000000,"\text{Not used}","int(1/(cosh(c + d*x)*(a + b*sinh(c + d*x)^2)^2),x)","\int \frac{1}{\mathrm{cosh}\left(c+d\,x\right)\,{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(1/(cosh(c + d*x)*(a + b*sinh(c + d*x)^2)^2), x)","F"
336,0,-1,114,0.000000,"\text{Not used}","int(1/(cosh(c + d*x)^2*(a + b*sinh(c + d*x)^2)^2),x)","\int \frac{1}{{\mathrm{cosh}\left(c+d\,x\right)}^2\,{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(1/(cosh(c + d*x)^2*(a + b*sinh(c + d*x)^2)^2), x)","F"
337,0,-1,157,0.000000,"\text{Not used}","int(1/(cosh(c + d*x)^3*(a + b*sinh(c + d*x)^2)^2),x)","\int \frac{1}{{\mathrm{cosh}\left(c+d\,x\right)}^3\,{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(1/(cosh(c + d*x)^3*(a + b*sinh(c + d*x)^2)^2), x)","F"
338,0,-1,143,0.000000,"\text{Not used}","int(1/(cosh(c + d*x)^4*(a + b*sinh(c + d*x)^2)^2),x)","\int \frac{1}{{\mathrm{cosh}\left(c+d\,x\right)}^4\,{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(1/(cosh(c + d*x)^4*(a + b*sinh(c + d*x)^2)^2), x)","F"
339,0,-1,160,0.000000,"\text{Not used}","int(cosh(c + d*x)^6/(a + b*sinh(c + d*x)^2)^3,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^6}{{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(cosh(c + d*x)^6/(a + b*sinh(c + d*x)^2)^3, x)","F"
340,0,-1,133,0.000000,"\text{Not used}","int(cosh(c + d*x)^5/(a + b*sinh(c + d*x)^2)^3,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^5}{{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(cosh(c + d*x)^5/(a + b*sinh(c + d*x)^2)^3, x)","F"
341,0,-1,114,0.000000,"\text{Not used}","int(cosh(c + d*x)^4/(a + b*sinh(c + d*x)^2)^3,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^4}{{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(cosh(c + d*x)^4/(a + b*sinh(c + d*x)^2)^3, x)","F"
342,0,-1,117,0.000000,"\text{Not used}","int(cosh(c + d*x)^3/(a + b*sinh(c + d*x)^2)^3,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^3}{{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(cosh(c + d*x)^3/(a + b*sinh(c + d*x)^2)^3, x)","F"
343,0,-1,143,0.000000,"\text{Not used}","int(cosh(c + d*x)^2/(a + b*sinh(c + d*x)^2)^3,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^2}{{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(cosh(c + d*x)^2/(a + b*sinh(c + d*x)^2)^3, x)","F"
344,1,87,96,0.944320,"\text{Not used}","int(cosh(c + d*x)/(a + b*sinh(c + d*x)^2)^3,x)","\frac{\frac{5\,\mathrm{sinh}\left(c+d\,x\right)}{8\,a}+\frac{3\,b\,{\mathrm{sinh}\left(c+d\,x\right)}^3}{8\,a^2}}{d\,a^2+2\,d\,a\,b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+d\,b^2\,{\mathrm{sinh}\left(c+d\,x\right)}^4}+\frac{3\,\mathrm{atan}\left(\frac{\sqrt{b}\,\mathrm{sinh}\left(c+d\,x\right)}{\sqrt{a}}\right)}{8\,a^{5/2}\,\sqrt{b}\,d}","Not used",1,"((5*sinh(c + d*x))/(8*a) + (3*b*sinh(c + d*x)^3)/(8*a^2))/(a^2*d + b^2*d*sinh(c + d*x)^4 + 2*a*b*d*sinh(c + d*x)^2) + (3*atan((b^(1/2)*sinh(c + d*x))/a^(1/2)))/(8*a^(5/2)*b^(1/2)*d)","B"
345,0,-1,159,0.000000,"\text{Not used}","int(1/(cosh(c + d*x)*(a + b*sinh(c + d*x)^2)^3),x)","\int \frac{1}{\mathrm{cosh}\left(c+d\,x\right)\,{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(1/(cosh(c + d*x)*(a + b*sinh(c + d*x)^2)^3), x)","F"
346,0,-1,172,0.000000,"\text{Not used}","int(1/(cosh(c + d*x)^2*(a + b*sinh(c + d*x)^2)^3),x)","\int \frac{1}{{\mathrm{cosh}\left(c+d\,x\right)}^2\,{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(1/(cosh(c + d*x)^2*(a + b*sinh(c + d*x)^2)^3), x)","F"
347,0,-1,217,0.000000,"\text{Not used}","int(1/(cosh(c + d*x)^3*(a + b*sinh(c + d*x)^2)^3),x)","\int \frac{1}{{\mathrm{cosh}\left(c+d\,x\right)}^3\,{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(1/(cosh(c + d*x)^3*(a + b*sinh(c + d*x)^2)^3), x)","F"
348,0,-1,203,0.000000,"\text{Not used}","int(1/(cosh(c + d*x)^4*(a + b*sinh(c + d*x)^2)^3),x)","\int \frac{1}{{\mathrm{cosh}\left(c+d\,x\right)}^4\,{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(1/(cosh(c + d*x)^4*(a + b*sinh(c + d*x)^2)^3), x)","F"
349,1,56,19,0.141815,"\text{Not used}","int(-cosh(x)^2/(sinh(x)^2 - 1),x)","\frac{\sqrt{2}\,\ln\left(8\,{\mathrm{e}}^{2\,x}+\frac{\sqrt{2}\,\left(12\,{\mathrm{e}}^{2\,x}-4\right)}{2}\right)}{2}-\frac{\sqrt{2}\,\ln\left(8\,{\mathrm{e}}^{2\,x}-\frac{\sqrt{2}\,\left(12\,{\mathrm{e}}^{2\,x}-4\right)}{2}\right)}{2}-x","Not used",1,"(2^(1/2)*log(8*exp(2*x) + (2^(1/2)*(12*exp(2*x) - 4))/2))/2 - (2^(1/2)*log(8*exp(2*x) - (2^(1/2)*(12*exp(2*x) - 4))/2))/2 - x","B"
350,1,39,10,0.058405,"\text{Not used}","int(-cosh(x)^3/(sinh(x)^2 - 1),x)","\frac{{\mathrm{e}}^{-x}}{2}-\ln\left(32\,{\mathrm{e}}^{2\,x}-64\,{\mathrm{e}}^x-32\right)+\ln\left(32\,{\mathrm{e}}^{2\,x}+64\,{\mathrm{e}}^x-32\right)-\frac{{\mathrm{e}}^x}{2}","Not used",1,"exp(-x)/2 - log(32*exp(2*x) - 64*exp(x) - 32) + log(32*exp(2*x) + 64*exp(x) - 32) - exp(x)/2","B"
351,1,66,30,0.836266,"\text{Not used}","int(-cosh(x)^4/(sinh(x)^2 - 1),x)","\frac{{\mathrm{e}}^{-2\,x}}{8}-\frac{5\,x}{2}-\frac{{\mathrm{e}}^{2\,x}}{8}+\sqrt{2}\,\ln\left(16\,{\mathrm{e}}^{2\,x}+\sqrt{2}\,\left(12\,{\mathrm{e}}^{2\,x}-4\right)\right)-\sqrt{2}\,\ln\left(16\,{\mathrm{e}}^{2\,x}-\sqrt{2}\,\left(12\,{\mathrm{e}}^{2\,x}-4\right)\right)","Not used",1,"exp(-2*x)/8 - (5*x)/2 - exp(2*x)/8 + 2^(1/2)*log(16*exp(2*x) + 2^(1/2)*(12*exp(2*x) - 4)) - 2^(1/2)*log(16*exp(2*x) - 2^(1/2)*(12*exp(2*x) - 4))","B"
352,0,-1,117,0.000000,"\text{Not used}","int(cosh(e + f*x)^3*(a + b*sinh(e + f*x)^2)^(1/2),x)","\int {\mathrm{cosh}\left(e+f\,x\right)}^3\,\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a} \,d x","Not used",1,"int(cosh(e + f*x)^3*(a + b*sinh(e + f*x)^2)^(1/2), x)","F"
353,1,61,72,0.961167,"\text{Not used}","int(cosh(e + f*x)*(a + b*sinh(e + f*x)^2)^(1/2),x)","\frac{\mathrm{sinh}\left(e+f\,x\right)\,\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}}{2\,f}+\frac{a\,\ln\left(\sqrt{b}\,\mathrm{sinh}\left(e+f\,x\right)+\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}\right)}{2\,\sqrt{b}\,f}","Not used",1,"(sinh(e + f*x)*(a + b*sinh(e + f*x)^2)^(1/2))/(2*f) + (a*log(b^(1/2)*sinh(e + f*x) + (a + b*sinh(e + f*x)^2)^(1/2)))/(2*b^(1/2)*f)","B"
354,0,-1,85,0.000000,"\text{Not used}","int((a + b*sinh(e + f*x)^2)^(1/2)/cosh(e + f*x),x)","\int \frac{\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}}{\mathrm{cosh}\left(e+f\,x\right)} \,d x","Not used",1,"int((a + b*sinh(e + f*x)^2)^(1/2)/cosh(e + f*x), x)","F"
355,0,-1,86,0.000000,"\text{Not used}","int((a + b*sinh(e + f*x)^2)^(1/2)/cosh(e + f*x)^3,x)","\int \frac{\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}}{{\mathrm{cosh}\left(e+f\,x\right)}^3} \,d x","Not used",1,"int((a + b*sinh(e + f*x)^2)^(1/2)/cosh(e + f*x)^3, x)","F"
356,0,-1,151,0.000000,"\text{Not used}","int((a + b*sinh(e + f*x)^2)^(1/2)/cosh(e + f*x)^5,x)","\int \frac{\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}}{{\mathrm{cosh}\left(e+f\,x\right)}^5} \,d x","Not used",1,"int((a + b*sinh(e + f*x)^2)^(1/2)/cosh(e + f*x)^5, x)","F"
357,0,-1,301,0.000000,"\text{Not used}","int(cosh(e + f*x)^4*(a + b*sinh(e + f*x)^2)^(1/2),x)","\int {\mathrm{cosh}\left(e+f\,x\right)}^4\,\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a} \,d x","Not used",1,"int(cosh(e + f*x)^4*(a + b*sinh(e + f*x)^2)^(1/2), x)","F"
358,0,-1,223,0.000000,"\text{Not used}","int(cosh(e + f*x)^2*(a + b*sinh(e + f*x)^2)^(1/2),x)","\int {\mathrm{cosh}\left(e+f\,x\right)}^2\,\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a} \,d x","Not used",1,"int(cosh(e + f*x)^2*(a + b*sinh(e + f*x)^2)^(1/2), x)","F"
359,0,-1,60,0.000000,"\text{Not used}","int((a + b*sinh(e + f*x)^2)^(1/2),x)","\int \sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a} \,d x","Not used",1,"int((a + b*sinh(e + f*x)^2)^(1/2), x)","F"
360,0,-1,70,0.000000,"\text{Not used}","int((a + b*sinh(e + f*x)^2)^(1/2)/cosh(e + f*x)^2,x)","\int \frac{\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}}{{\mathrm{cosh}\left(e+f\,x\right)}^2} \,d x","Not used",1,"int((a + b*sinh(e + f*x)^2)^(1/2)/cosh(e + f*x)^2, x)","F"
361,0,-1,206,0.000000,"\text{Not used}","int((a + b*sinh(e + f*x)^2)^(1/2)/cosh(e + f*x)^4,x)","\int \frac{\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}}{{\mathrm{cosh}\left(e+f\,x\right)}^4} \,d x","Not used",1,"int((a + b*sinh(e + f*x)^2)^(1/2)/cosh(e + f*x)^4, x)","F"
362,0,-1,157,0.000000,"\text{Not used}","int(cosh(e + f*x)^3*(a + b*sinh(e + f*x)^2)^(3/2),x)","\int {\mathrm{cosh}\left(e+f\,x\right)}^3\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2} \,d x","Not used",1,"int(cosh(e + f*x)^3*(a + b*sinh(e + f*x)^2)^(3/2), x)","F"
363,1,60,104,1.024302,"\text{Not used}","int(cosh(e + f*x)*(a + b*sinh(e + f*x)^2)^(3/2),x)","\frac{\mathrm{sinh}\left(e+f\,x\right)\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{2},\frac{1}{2};\ \frac{3}{2};\ -\frac{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2}{a}\right)}{f\,{\left(\frac{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2}{a}+1\right)}^{3/2}}","Not used",1,"(sinh(e + f*x)*(a + b*sinh(e + f*x)^2)^(3/2)*hypergeom([-3/2, 1/2], 3/2, -(b*sinh(e + f*x)^2)/a))/(f*((b*sinh(e + f*x)^2)/a + 1)^(3/2))","B"
364,0,-1,125,0.000000,"\text{Not used}","int((a + b*sinh(e + f*x)^2)^(3/2)/cosh(e + f*x),x)","\int \frac{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}}{\mathrm{cosh}\left(e+f\,x\right)} \,d x","Not used",1,"int((a + b*sinh(e + f*x)^2)^(3/2)/cosh(e + f*x), x)","F"
365,0,-1,133,0.000000,"\text{Not used}","int((a + b*sinh(e + f*x)^2)^(3/2)/cosh(e + f*x)^3,x)","\int \frac{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}}{{\mathrm{cosh}\left(e+f\,x\right)}^3} \,d x","Not used",1,"int((a + b*sinh(e + f*x)^2)^(3/2)/cosh(e + f*x)^3, x)","F"
366,0,-1,126,0.000000,"\text{Not used}","int((a + b*sinh(e + f*x)^2)^(3/2)/cosh(e + f*x)^5,x)","\int \frac{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}}{{\mathrm{cosh}\left(e+f\,x\right)}^5} \,d x","Not used",1,"int((a + b*sinh(e + f*x)^2)^(3/2)/cosh(e + f*x)^5, x)","F"
367,0,-1,205,0.000000,"\text{Not used}","int((a + b*sinh(e + f*x)^2)^(3/2)/cosh(e + f*x)^7,x)","\int \frac{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}}{{\mathrm{cosh}\left(e+f\,x\right)}^7} \,d x","Not used",1,"int((a + b*sinh(e + f*x)^2)^(3/2)/cosh(e + f*x)^7, x)","F"
368,0,-1,357,0.000000,"\text{Not used}","int(cosh(e + f*x)^4*(a + b*sinh(e + f*x)^2)^(3/2),x)","\int {\mathrm{cosh}\left(e+f\,x\right)}^4\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2} \,d x","Not used",1,"int(cosh(e + f*x)^4*(a + b*sinh(e + f*x)^2)^(3/2), x)","F"
369,0,-1,299,0.000000,"\text{Not used}","int(cosh(e + f*x)^2*(a + b*sinh(e + f*x)^2)^(3/2),x)","\int {\mathrm{cosh}\left(e+f\,x\right)}^2\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2} \,d x","Not used",1,"int(cosh(e + f*x)^2*(a + b*sinh(e + f*x)^2)^(3/2), x)","F"
370,0,-1,174,0.000000,"\text{Not used}","int((a + b*sinh(e + f*x)^2)^(3/2),x)","\int {\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2} \,d x","Not used",1,"int((a + b*sinh(e + f*x)^2)^(3/2), x)","F"
371,0,-1,210,0.000000,"\text{Not used}","int((a + b*sinh(e + f*x)^2)^(3/2)/cosh(e + f*x)^2,x)","\int \frac{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}}{{\mathrm{cosh}\left(e+f\,x\right)}^2} \,d x","Not used",1,"int((a + b*sinh(e + f*x)^2)^(3/2)/cosh(e + f*x)^2, x)","F"
372,0,-1,193,0.000000,"\text{Not used}","int((a + b*sinh(e + f*x)^2)^(3/2)/cosh(e + f*x)^4,x)","\int \frac{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}}{{\mathrm{cosh}\left(e+f\,x\right)}^4} \,d x","Not used",1,"int((a + b*sinh(e + f*x)^2)^(3/2)/cosh(e + f*x)^4, x)","F"
373,0,-1,79,0.000000,"\text{Not used}","int(cosh(e + f*x)^3/(a + b*sinh(e + f*x)^2)^(1/2),x)","\int \frac{{\mathrm{cosh}\left(e+f\,x\right)}^3}{\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}} \,d x","Not used",1,"int(cosh(e + f*x)^3/(a + b*sinh(e + f*x)^2)^(1/2), x)","F"
374,1,33,38,1.016468,"\text{Not used}","int(cosh(e + f*x)/(a + b*sinh(e + f*x)^2)^(1/2),x)","\frac{\ln\left(\sqrt{b}\,\mathrm{sinh}\left(e+f\,x\right)+\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}\right)}{\sqrt{b}\,f}","Not used",1,"log(b^(1/2)*sinh(e + f*x) + (a + b*sinh(e + f*x)^2)^(1/2))/(b^(1/2)*f)","B"
375,0,-1,46,0.000000,"\text{Not used}","int(1/(cosh(e + f*x)*(a + b*sinh(e + f*x)^2)^(1/2)),x)","\int \frac{1}{\mathrm{cosh}\left(e+f\,x\right)\,\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}} \,d x","Not used",1,"int(1/(cosh(e + f*x)*(a + b*sinh(e + f*x)^2)^(1/2)), x)","F"
376,0,-1,97,0.000000,"\text{Not used}","int(1/(cosh(e + f*x)^3*(a + b*sinh(e + f*x)^2)^(1/2)),x)","\int \frac{1}{{\mathrm{cosh}\left(e+f\,x\right)}^3\,\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}} \,d x","Not used",1,"int(1/(cosh(e + f*x)^3*(a + b*sinh(e + f*x)^2)^(1/2)), x)","F"
377,0,-1,241,0.000000,"\text{Not used}","int(cosh(e + f*x)^4/(a + b*sinh(e + f*x)^2)^(1/2),x)","\int \frac{{\mathrm{cosh}\left(e+f\,x\right)}^4}{\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}} \,d x","Not used",1,"int(cosh(e + f*x)^4/(a + b*sinh(e + f*x)^2)^(1/2), x)","F"
378,0,-1,177,0.000000,"\text{Not used}","int(cosh(e + f*x)^2/(a + b*sinh(e + f*x)^2)^(1/2),x)","\int \frac{{\mathrm{cosh}\left(e+f\,x\right)}^2}{\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}} \,d x","Not used",1,"int(cosh(e + f*x)^2/(a + b*sinh(e + f*x)^2)^(1/2), x)","F"
379,0,-1,60,0.000000,"\text{Not used}","int(1/(a + b*sinh(e + f*x)^2)^(1/2),x)","\int \frac{1}{\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}} \,d x","Not used",1,"int(1/(a + b*sinh(e + f*x)^2)^(1/2), x)","F"
380,0,-1,160,0.000000,"\text{Not used}","int(1/(cosh(e + f*x)^2*(a + b*sinh(e + f*x)^2)^(1/2)),x)","\int \frac{1}{{\mathrm{cosh}\left(e+f\,x\right)}^2\,\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}} \,d x","Not used",1,"int(1/(cosh(e + f*x)^2*(a + b*sinh(e + f*x)^2)^(1/2)), x)","F"
381,0,-1,219,0.000000,"\text{Not used}","int(1/(cosh(e + f*x)^4*(a + b*sinh(e + f*x)^2)^(1/2)),x)","\int \frac{1}{{\mathrm{cosh}\left(e+f\,x\right)}^4\,\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}} \,d x","Not used",1,"int(1/(cosh(e + f*x)^4*(a + b*sinh(e + f*x)^2)^(1/2)), x)","F"
382,0,-1,77,0.000000,"\text{Not used}","int(cosh(e + f*x)^3/(a + b*sinh(e + f*x)^2)^(3/2),x)","\int \frac{{\mathrm{cosh}\left(e+f\,x\right)}^3}{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}} \,d x","Not used",1,"int(cosh(e + f*x)^3/(a + b*sinh(e + f*x)^2)^(3/2), x)","F"
383,1,191,29,1.132537,"\text{Not used}","int(cosh(e + f*x)/(a + b*sinh(e + f*x)^2)^(3/2),x)","-\frac{{\mathrm{e}}^{e+f\,x}\,\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}\,\left(\frac{2\,\mathrm{cosh}\left(e+f\,x\right)\,{\mathrm{e}}^{e+f\,x}\,\left(b\,\left(2\,a-b\right)-b\,\left(4\,a-2\,b\right)\right)}{f\,\left(a\,b^2-a^2\,b\right)}-\frac{2\,b^2\,{\mathrm{e}}^{e+f\,x}\,\mathrm{sinh}\left(e+f\,x\right)}{f\,\left(a\,b^2-a^2\,b\right)}+\frac{b\,{\mathrm{e}}^{2\,e+2\,f\,x}\,\left(4\,a-2\,b\right)}{f\,\left(a\,b^2-a^2\,b\right)}\right)}{4\,a\,{\mathrm{e}}^{2\,e+2\,f\,x}-2\,b\,{\mathrm{e}}^{2\,e+2\,f\,x}+2\,b\,{\mathrm{e}}^{2\,e+2\,f\,x}\,\mathrm{cosh}\left(2\,e+2\,f\,x\right)}","Not used",1,"-(exp(e + f*x)*(a + b*sinh(e + f*x)^2)^(1/2)*((2*cosh(e + f*x)*exp(e + f*x)*(b*(2*a - b) - b*(4*a - 2*b)))/(f*(a*b^2 - a^2*b)) - (2*b^2*exp(e + f*x)*sinh(e + f*x))/(f*(a*b^2 - a^2*b)) + (b*exp(2*e + 2*f*x)*(4*a - 2*b))/(f*(a*b^2 - a^2*b))))/(4*a*exp(2*e + 2*f*x) - 2*b*exp(2*e + 2*f*x) + 2*b*exp(2*e + 2*f*x)*cosh(2*e + 2*f*x))","B"
384,0,-1,85,0.000000,"\text{Not used}","int(1/(cosh(e + f*x)*(a + b*sinh(e + f*x)^2)^(3/2)),x)","\int \frac{1}{\mathrm{cosh}\left(e+f\,x\right)\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}} \,d x","Not used",1,"int(1/(cosh(e + f*x)*(a + b*sinh(e + f*x)^2)^(3/2)), x)","F"
385,0,-1,142,0.000000,"\text{Not used}","int(1/(cosh(e + f*x)^3*(a + b*sinh(e + f*x)^2)^(3/2)),x)","\int \frac{1}{{\mathrm{cosh}\left(e+f\,x\right)}^3\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}} \,d x","Not used",1,"int(1/(cosh(e + f*x)^3*(a + b*sinh(e + f*x)^2)^(3/2)), x)","F"
386,0,-1,325,0.000000,"\text{Not used}","int(cosh(e + f*x)^6/(a + b*sinh(e + f*x)^2)^(3/2),x)","\int \frac{{\mathrm{cosh}\left(e+f\,x\right)}^6}{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}} \,d x","Not used",1,"int(cosh(e + f*x)^6/(a + b*sinh(e + f*x)^2)^(3/2), x)","F"
387,0,-1,244,0.000000,"\text{Not used}","int(cosh(e + f*x)^4/(a + b*sinh(e + f*x)^2)^(3/2),x)","\int \frac{{\mathrm{cosh}\left(e+f\,x\right)}^4}{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}} \,d x","Not used",1,"int(cosh(e + f*x)^4/(a + b*sinh(e + f*x)^2)^(3/2), x)","F"
388,0,-1,91,0.000000,"\text{Not used}","int(cosh(e + f*x)^2/(a + b*sinh(e + f*x)^2)^(3/2),x)","\int \frac{{\mathrm{cosh}\left(e+f\,x\right)}^2}{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}} \,d x","Not used",1,"int(cosh(e + f*x)^2/(a + b*sinh(e + f*x)^2)^(3/2), x)","F"
389,0,-1,115,0.000000,"\text{Not used}","int(1/(a + b*sinh(e + f*x)^2)^(3/2),x)","\int \frac{1}{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}} \,d x","Not used",1,"int(1/(a + b*sinh(e + f*x)^2)^(3/2), x)","F"
390,0,-1,217,0.000000,"\text{Not used}","int(1/(cosh(e + f*x)^2*(a + b*sinh(e + f*x)^2)^(3/2)),x)","\int \frac{1}{{\mathrm{cosh}\left(e+f\,x\right)}^2\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}} \,d x","Not used",1,"int(1/(cosh(e + f*x)^2*(a + b*sinh(e + f*x)^2)^(3/2)), x)","F"
391,0,-1,134,0.000000,"\text{Not used}","int(cosh(e + f*x)^5/(a + b*sinh(e + f*x)^2)^(5/2),x)","\int \frac{{\mathrm{cosh}\left(e+f\,x\right)}^5}{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{5/2}} \,d x","Not used",1,"int(cosh(e + f*x)^5/(a + b*sinh(e + f*x)^2)^(5/2), x)","F"
392,1,144,73,1.831302,"\text{Not used}","int(cosh(e + f*x)^3/(a + b*sinh(e + f*x)^2)^(5/2),x)","\frac{2\,{\mathrm{e}}^{e+f\,x}\,\left({\mathrm{e}}^{2\,e+2\,f\,x}-1\right)\,\sqrt{a+b\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}\,\left(a+2\,b+10\,a\,{\mathrm{e}}^{2\,e+2\,f\,x}+a\,{\mathrm{e}}^{4\,e+4\,f\,x}-4\,b\,{\mathrm{e}}^{2\,e+2\,f\,x}+2\,b\,{\mathrm{e}}^{4\,e+4\,f\,x}\right)}{3\,a^2\,f\,{\left(b+4\,a\,{\mathrm{e}}^{2\,e+2\,f\,x}-2\,b\,{\mathrm{e}}^{2\,e+2\,f\,x}+b\,{\mathrm{e}}^{4\,e+4\,f\,x}\right)}^2}","Not used",1,"(2*exp(e + f*x)*(exp(2*e + 2*f*x) - 1)*(a + b*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2)*(a + 2*b + 10*a*exp(2*e + 2*f*x) + a*exp(4*e + 4*f*x) - 4*b*exp(2*e + 2*f*x) + 2*b*exp(4*e + 4*f*x)))/(3*a^2*f*(b + 4*a*exp(2*e + 2*f*x) - 2*b*exp(2*e + 2*f*x) + b*exp(4*e + 4*f*x))^2)","B"
393,1,129,65,1.486247,"\text{Not used}","int(cosh(e + f*x)/(a + b*sinh(e + f*x)^2)^(5/2),x)","\frac{4\,{\mathrm{e}}^{e+f\,x}\,\left({\mathrm{e}}^{2\,e+2\,f\,x}-1\right)\,\sqrt{a+b\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}\,\left(b+6\,a\,{\mathrm{e}}^{2\,e+2\,f\,x}-2\,b\,{\mathrm{e}}^{2\,e+2\,f\,x}+b\,{\mathrm{e}}^{4\,e+4\,f\,x}\right)}{3\,a^2\,f\,{\left(b+4\,a\,{\mathrm{e}}^{2\,e+2\,f\,x}-2\,b\,{\mathrm{e}}^{2\,e+2\,f\,x}+b\,{\mathrm{e}}^{4\,e+4\,f\,x}\right)}^2}","Not used",1,"(4*exp(e + f*x)*(exp(2*e + 2*f*x) - 1)*(a + b*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2)*(b + 6*a*exp(2*e + 2*f*x) - 2*b*exp(2*e + 2*f*x) + b*exp(4*e + 4*f*x)))/(3*a^2*f*(b + 4*a*exp(2*e + 2*f*x) - 2*b*exp(2*e + 2*f*x) + b*exp(4*e + 4*f*x))^2)","B"
394,0,-1,134,0.000000,"\text{Not used}","int(1/(cosh(e + f*x)*(a + b*sinh(e + f*x)^2)^(5/2)),x)","\int \frac{1}{\mathrm{cosh}\left(e+f\,x\right)\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{5/2}} \,d x","Not used",1,"int(1/(cosh(e + f*x)*(a + b*sinh(e + f*x)^2)^(5/2)), x)","F"
395,0,-1,330,0.000000,"\text{Not used}","int(cosh(e + f*x)^6/(a + b*sinh(e + f*x)^2)^(5/2),x)","\int \frac{{\mathrm{cosh}\left(e+f\,x\right)}^6}{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{5/2}} \,d x","Not used",1,"int(cosh(e + f*x)^6/(a + b*sinh(e + f*x)^2)^(5/2), x)","F"
396,0,-1,223,0.000000,"\text{Not used}","int(cosh(e + f*x)^4/(a + b*sinh(e + f*x)^2)^(5/2),x)","\int \frac{{\mathrm{cosh}\left(e+f\,x\right)}^4}{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{5/2}} \,d x","Not used",1,"int(cosh(e + f*x)^4/(a + b*sinh(e + f*x)^2)^(5/2), x)","F"
397,0,-1,228,0.000000,"\text{Not used}","int(cosh(e + f*x)^2/(a + b*sinh(e + f*x)^2)^(5/2),x)","\int \frac{{\mathrm{cosh}\left(e+f\,x\right)}^2}{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{5/2}} \,d x","Not used",1,"int(cosh(e + f*x)^2/(a + b*sinh(e + f*x)^2)^(5/2), x)","F"
398,0,-1,251,0.000000,"\text{Not used}","int(1/(a + b*sinh(e + f*x)^2)^(5/2),x)","\int \frac{1}{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{5/2}} \,d x","Not used",1,"int(1/(a + b*sinh(e + f*x)^2)^(5/2), x)","F"
399,0,-1,292,0.000000,"\text{Not used}","int(1/(cosh(e + f*x)^2*(a + b*sinh(e + f*x)^2)^(5/2)),x)","\int \frac{1}{{\mathrm{cosh}\left(e+f\,x\right)}^2\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{5/2}} \,d x","Not used",1,"int(1/(cosh(e + f*x)^2*(a + b*sinh(e + f*x)^2)^(5/2)), x)","F"
400,0,-1,117,0.000000,"\text{Not used}","int((d*cosh(e + f*x))^m*(a + b*sinh(e + f*x)^2)^p,x)","\int {\left(d\,\mathrm{cosh}\left(e+f\,x\right)\right)}^m\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^p \,d x","Not used",1,"int((d*cosh(e + f*x))^m*(a + b*sinh(e + f*x)^2)^p, x)","F"
401,0,-1,214,0.000000,"\text{Not used}","int(cosh(e + f*x)^5*(a + b*sinh(e + f*x)^2)^p,x)","\int {\mathrm{cosh}\left(e+f\,x\right)}^5\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^p \,d x","Not used",1,"int(cosh(e + f*x)^5*(a + b*sinh(e + f*x)^2)^p, x)","F"
402,0,-1,125,0.000000,"\text{Not used}","int(cosh(e + f*x)^3*(a + b*sinh(e + f*x)^2)^p,x)","\int {\mathrm{cosh}\left(e+f\,x\right)}^3\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^p \,d x","Not used",1,"int(cosh(e + f*x)^3*(a + b*sinh(e + f*x)^2)^p, x)","F"
403,1,64,67,1.503413,"\text{Not used}","int(cosh(e + f*x)*(a + b*sinh(e + f*x)^2)^p,x)","\frac{\mathrm{sinh}\left(e+f\,x\right)\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^p\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},-p;\ \frac{3}{2};\ -\frac{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2}{a}\right)}{f\,{\left(\frac{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2}{a}+1\right)}^p}","Not used",1,"(sinh(e + f*x)*(a + b*sinh(e + f*x)^2)^p*hypergeom([1/2, -p], 3/2, -(b*sinh(e + f*x)^2)/a))/(f*((b*sinh(e + f*x)^2)/a + 1)^p)","B"
404,0,-1,78,0.000000,"\text{Not used}","int((a + b*sinh(e + f*x)^2)^p/cosh(e + f*x),x)","\int \frac{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^p}{\mathrm{cosh}\left(e+f\,x\right)} \,d x","Not used",1,"int((a + b*sinh(e + f*x)^2)^p/cosh(e + f*x), x)","F"
405,0,-1,78,0.000000,"\text{Not used}","int((a + b*sinh(e + f*x)^2)^p/cosh(e + f*x)^3,x)","\int \frac{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^p}{{\mathrm{cosh}\left(e+f\,x\right)}^3} \,d x","Not used",1,"int((a + b*sinh(e + f*x)^2)^p/cosh(e + f*x)^3, x)","F"
406,0,-1,92,0.000000,"\text{Not used}","int(cosh(e + f*x)^4*(a + b*sinh(e + f*x)^2)^p,x)","\int {\mathrm{cosh}\left(e+f\,x\right)}^4\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^p \,d x","Not used",1,"int(cosh(e + f*x)^4*(a + b*sinh(e + f*x)^2)^p, x)","F"
407,0,-1,92,0.000000,"\text{Not used}","int(cosh(e + f*x)^2*(a + b*sinh(e + f*x)^2)^p,x)","\int {\mathrm{cosh}\left(e+f\,x\right)}^2\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^p \,d x","Not used",1,"int(cosh(e + f*x)^2*(a + b*sinh(e + f*x)^2)^p, x)","F"
408,0,-1,92,0.000000,"\text{Not used}","int((a + b*sinh(e + f*x)^2)^p,x)","\int {\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^p \,d x","Not used",1,"int((a + b*sinh(e + f*x)^2)^p, x)","F"
409,0,-1,92,0.000000,"\text{Not used}","int((a + b*sinh(e + f*x)^2)^p/cosh(e + f*x)^2,x)","\int \frac{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^p}{{\mathrm{cosh}\left(e+f\,x\right)}^2} \,d x","Not used",1,"int((a + b*sinh(e + f*x)^2)^p/cosh(e + f*x)^2, x)","F"
410,0,-1,92,0.000000,"\text{Not used}","int((a + b*sinh(e + f*x)^2)^p/cosh(e + f*x)^4,x)","\int \frac{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^p}{{\mathrm{cosh}\left(e+f\,x\right)}^4} \,d x","Not used",1,"int((a + b*sinh(e + f*x)^2)^p/cosh(e + f*x)^4, x)","F"
411,0,-1,259,0.000000,"\text{Not used}","int(cosh(c + d*x)^5/(a + b*sinh(c + d*x)^(1/2)),x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^5}{a+b\,\sqrt{\mathrm{sinh}\left(c+d\,x\right)}} \,d x","Not used",1,"int(cosh(c + d*x)^5/(a + b*sinh(c + d*x)^(1/2)), x)","F"
412,0,-1,136,0.000000,"\text{Not used}","int(cosh(c + d*x)^3/(a + b*sinh(c + d*x)^(1/2)),x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^3}{a+b\,\sqrt{\mathrm{sinh}\left(c+d\,x\right)}} \,d x","Not used",1,"int(cosh(c + d*x)^3/(a + b*sinh(c + d*x)^(1/2)), x)","F"
413,1,39,43,1.007853,"\text{Not used}","int(cosh(c + d*x)/(a + b*sinh(c + d*x)^(1/2)),x)","\frac{2\,\sqrt{\mathrm{sinh}\left(c+d\,x\right)}}{b\,d}-\frac{2\,a\,\ln\left(a+b\,\sqrt{\mathrm{sinh}\left(c+d\,x\right)}\right)}{b^2\,d}","Not used",1,"(2*sinh(c + d*x)^(1/2))/(b*d) - (2*a*log(a + b*sinh(c + d*x)^(1/2)))/(b^2*d)","B"
414,0,-1,286,0.000000,"\text{Not used}","int(1/(cosh(c + d*x)*(a + b*sinh(c + d*x)^(1/2))),x)","\int \frac{1}{\mathrm{cosh}\left(c+d\,x\right)\,\left(a+b\,\sqrt{\mathrm{sinh}\left(c+d\,x\right)}\right)} \,d x","Not used",1,"int(1/(cosh(c + d*x)*(a + b*sinh(c + d*x)^(1/2))), x)","F"
415,0,-1,270,0.000000,"\text{Not used}","int(cosh(c + d*x)^5/(a + b*sinh(c + d*x)^(1/2))^2,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^5}{{\left(a+b\,\sqrt{\mathrm{sinh}\left(c+d\,x\right)}\right)}^2} \,d x","Not used",1,"int(cosh(c + d*x)^5/(a + b*sinh(c + d*x)^(1/2))^2, x)","F"
416,0,-1,142,0.000000,"\text{Not used}","int(cosh(c + d*x)^3/(a + b*sinh(c + d*x)^(1/2))^2,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^3}{{\left(a+b\,\sqrt{\mathrm{sinh}\left(c+d\,x\right)}\right)}^2} \,d x","Not used",1,"int(cosh(c + d*x)^3/(a + b*sinh(c + d*x)^(1/2))^2, x)","F"
417,1,45,49,1.405836,"\text{Not used}","int(cosh(c + d*x)/(a + b*sinh(c + d*x)^(1/2))^2,x)","\frac{2\,a}{b^2\,\left(a\,d+b\,d\,\sqrt{\mathrm{sinh}\left(c+d\,x\right)}\right)}+\frac{2\,\ln\left(a+b\,\sqrt{\mathrm{sinh}\left(c+d\,x\right)}\right)}{b^2\,d}","Not used",1,"(2*a)/(b^2*(a*d + b*d*sinh(c + d*x)^(1/2))) + (2*log(a + b*sinh(c + d*x)^(1/2)))/(b^2*d)","B"
418,0,-1,384,0.000000,"\text{Not used}","int(1/(cosh(c + d*x)*(a + b*sinh(c + d*x)^(1/2))^2),x)","\int \frac{1}{\mathrm{cosh}\left(c+d\,x\right)\,{\left(a+b\,\sqrt{\mathrm{sinh}\left(c+d\,x\right)}\right)}^2} \,d x","Not used",1,"int(1/(cosh(c + d*x)*(a + b*sinh(c + d*x)^(1/2))^2), x)","F"
419,0,-1,130,0.000000,"\text{Not used}","int(cosh(c + d*x)^5/(a + b*sinh(c + d*x)^n),x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^5}{a+b\,{\mathrm{sinh}\left(c+d\,x\right)}^n} \,d x","Not used",1,"int(cosh(c + d*x)^5/(a + b*sinh(c + d*x)^n), x)","F"
420,0,-1,84,0.000000,"\text{Not used}","int(cosh(c + d*x)^3/(a + b*sinh(c + d*x)^n),x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^3}{a+b\,{\mathrm{sinh}\left(c+d\,x\right)}^n} \,d x","Not used",1,"int(cosh(c + d*x)^3/(a + b*sinh(c + d*x)^n), x)","F"
421,1,38,37,1.130352,"\text{Not used}","int(cosh(c + d*x)/(a + b*sinh(c + d*x)^n),x)","\frac{\mathrm{sinh}\left(c+d\,x\right)\,{{}}_2{\mathrm{F}}_1\left(1,\frac{1}{n};\ \frac{1}{n}+1;\ -\frac{b\,{\mathrm{sinh}\left(c+d\,x\right)}^n}{a}\right)}{a\,d}","Not used",1,"(sinh(c + d*x)*hypergeom([1, 1/n], 1/n + 1, -(b*sinh(c + d*x)^n)/a))/(a*d)","B"
422,0,-1,130,0.000000,"\text{Not used}","int(cosh(c + d*x)^5/(a + b*sinh(c + d*x)^n)^2,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^5}{{\left(a+b\,{\mathrm{sinh}\left(c+d\,x\right)}^n\right)}^2} \,d x","Not used",1,"int(cosh(c + d*x)^5/(a + b*sinh(c + d*x)^n)^2, x)","F"
423,0,-1,84,0.000000,"\text{Not used}","int(cosh(c + d*x)^3/(a + b*sinh(c + d*x)^n)^2,x)","\int \frac{{\mathrm{cosh}\left(c+d\,x\right)}^3}{{\left(a+b\,{\mathrm{sinh}\left(c+d\,x\right)}^n\right)}^2} \,d x","Not used",1,"int(cosh(c + d*x)^3/(a + b*sinh(c + d*x)^n)^2, x)","F"
424,1,38,37,0.947660,"\text{Not used}","int(cosh(c + d*x)/(a + b*sinh(c + d*x)^n)^2,x)","\frac{\mathrm{sinh}\left(c+d\,x\right)\,{{}}_2{\mathrm{F}}_1\left(2,\frac{1}{n};\ \frac{1}{n}+1;\ -\frac{b\,{\mathrm{sinh}\left(c+d\,x\right)}^n}{a}\right)}{a^2\,d}","Not used",1,"(sinh(c + d*x)*hypergeom([2, 1/n], 1/n + 1, -(b*sinh(c + d*x)^n)/a))/(a^2*d)","B"
425,1,27,17,0.084239,"\text{Not used}","int(-coth(x)/(sinh(x)^2 - 1),x)","\ln\left(5184\,{\mathrm{e}}^{2\,x}-5184\right)-\frac{\ln\left(9\,{\mathrm{e}}^{4\,x}-54\,{\mathrm{e}}^{2\,x}+9\right)}{2}","Not used",1,"log(5184*exp(2*x) - 5184) - log(9*exp(4*x) - 54*exp(2*x) + 9)/2","B"
426,1,252,63,0.940359,"\text{Not used}","int(tanh(e + f*x)^5*(a + a*sinh(e + f*x)^2)^(1/2),x)","\frac{\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{f}+\frac{8\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{f\,\left({\mathrm{e}}^{2\,e+2\,f\,x}+1\right)\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}-\frac{16\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{3\,f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}+1\right)}^2\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}+\frac{16\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{3\,f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}+1\right)}^3\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}","Not used",1,"(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2)/f + (8*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(f*(exp(2*e + 2*f*x) + 1)*(exp(e + f*x) + exp(3*e + 3*f*x))) - (16*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(3*f*(exp(2*e + 2*f*x) + 1)^2*(exp(e + f*x) + exp(3*e + 3*f*x))) + (16*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(3*f*(exp(2*e + 2*f*x) + 1)^3*(exp(e + f*x) + exp(3*e + 3*f*x)))","B"
427,1,67,38,0.909927,"\text{Not used}","int(tanh(e + f*x)^3*(a + a*sinh(e + f*x)^2)^(1/2),x)","\frac{\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}\,\left(6\,{\mathrm{e}}^{2\,e+2\,f\,x}+{\mathrm{e}}^{4\,e+4\,f\,x}+1\right)}{f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}+1\right)}^2}","Not used",1,"((a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2)*(6*exp(2*e + 2*f*x) + exp(4*e + 4*f*x) + 1))/(f*(exp(2*e + 2*f*x) + 1)^2)","B"
428,1,18,18,0.921631,"\text{Not used}","int(tanh(e + f*x)*(a + a*sinh(e + f*x)^2)^(1/2),x)","\frac{\sqrt{a\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}}{f}","Not used",1,"(a + a*sinh(e + f*x)^2)^(1/2)/f","B"
429,0,-1,50,0.000000,"\text{Not used}","int(coth(e + f*x)*(a + a*sinh(e + f*x)^2)^(1/2),x)","\int \mathrm{coth}\left(e+f\,x\right)\,\sqrt{a\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a} \,d x","Not used",1,"int(coth(e + f*x)*(a + a*sinh(e + f*x)^2)^(1/2), x)","F"
430,0,-1,87,0.000000,"\text{Not used}","int(coth(e + f*x)^3*(a + a*sinh(e + f*x)^2)^(1/2),x)","\int {\mathrm{coth}\left(e+f\,x\right)}^3\,\sqrt{a\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a} \,d x","Not used",1,"int(coth(e + f*x)^3*(a + a*sinh(e + f*x)^2)^(1/2), x)","F"
431,0,-1,120,0.000000,"\text{Not used}","int(tanh(e + f*x)^6*(a + a*sinh(e + f*x)^2)^(1/2),x)","\int {\mathrm{tanh}\left(e+f\,x\right)}^6\,\sqrt{a\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a} \,d x","Not used",1,"int(tanh(e + f*x)^6*(a + a*sinh(e + f*x)^2)^(1/2), x)","F"
432,0,-1,91,0.000000,"\text{Not used}","int(tanh(e + f*x)^4*(a + a*sinh(e + f*x)^2)^(1/2),x)","\int {\mathrm{tanh}\left(e+f\,x\right)}^4\,\sqrt{a\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a} \,d x","Not used",1,"int(tanh(e + f*x)^4*(a + a*sinh(e + f*x)^2)^(1/2), x)","F"
433,0,-1,57,0.000000,"\text{Not used}","int(tanh(e + f*x)^2*(a + a*sinh(e + f*x)^2)^(1/2),x)","\int {\mathrm{tanh}\left(e+f\,x\right)}^2\,\sqrt{a\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a} \,d x","Not used",1,"int(tanh(e + f*x)^2*(a + a*sinh(e + f*x)^2)^(1/2), x)","F"
434,1,67,56,0.926913,"\text{Not used}","int(coth(e + f*x)^2*(a + a*sinh(e + f*x)^2)^(1/2),x)","\frac{\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}\,\left({\mathrm{e}}^{4\,e+4\,f\,x}-6\,{\mathrm{e}}^{2\,e+2\,f\,x}+1\right)}{f\,\left({\mathrm{e}}^{4\,e+4\,f\,x}-1\right)}","Not used",1,"((a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2)*(exp(4*e + 4*f*x) - 6*exp(2*e + 2*f*x) + 1))/(f*(exp(4*e + 4*f*x) - 1))","B"
435,1,281,91,0.942313,"\text{Not used}","int(coth(e + f*x)^4*(a + a*sinh(e + f*x)^2)^(1/2),x)","-\frac{\left(\frac{1}{f}-\frac{{\mathrm{e}}^{2\,e+2\,f\,x}}{f}\right)\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{{\mathrm{e}}^{2\,e+2\,f\,x}+1}-\frac{8\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{f\,\left({\mathrm{e}}^{2\,e+2\,f\,x}-1\right)\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}-\frac{16\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{3\,f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}-1\right)}^2\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}-\frac{16\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{3\,f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}-1\right)}^3\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}","Not used",1,"- ((1/f - exp(2*e + 2*f*x)/f)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(exp(2*e + 2*f*x) + 1) - (8*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(f*(exp(2*e + 2*f*x) - 1)*(exp(e + f*x) + exp(3*e + 3*f*x))) - (16*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(3*f*(exp(2*e + 2*f*x) - 1)^2*(exp(e + f*x) + exp(3*e + 3*f*x))) - (16*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(3*f*(exp(2*e + 2*f*x) - 1)^3*(exp(e + f*x) + exp(3*e + 3*f*x)))","B"
436,1,427,124,0.905826,"\text{Not used}","int(coth(e + f*x)^6*(a + a*sinh(e + f*x)^2)^(1/2),x)","-\frac{\left(\frac{1}{f}-\frac{{\mathrm{e}}^{2\,e+2\,f\,x}}{f}\right)\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{{\mathrm{e}}^{2\,e+2\,f\,x}+1}-\frac{12\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{f\,\left({\mathrm{e}}^{2\,e+2\,f\,x}-1\right)\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}-\frac{16\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}-1\right)}^2\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}-\frac{144\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{5\,f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}-1\right)}^3\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}-\frac{128\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{5\,f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}-1\right)}^4\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}-\frac{64\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{5\,f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}-1\right)}^5\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}","Not used",1,"- ((1/f - exp(2*e + 2*f*x)/f)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(exp(2*e + 2*f*x) + 1) - (12*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(f*(exp(2*e + 2*f*x) - 1)*(exp(e + f*x) + exp(3*e + 3*f*x))) - (16*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(f*(exp(2*e + 2*f*x) - 1)^2*(exp(e + f*x) + exp(3*e + 3*f*x))) - (144*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(5*f*(exp(2*e + 2*f*x) - 1)^3*(exp(e + f*x) + exp(3*e + 3*f*x))) - (128*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(5*f*(exp(2*e + 2*f*x) - 1)^4*(exp(e + f*x) + exp(3*e + 3*f*x))) - (64*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(5*f*(exp(2*e + 2*f*x) - 1)^5*(exp(e + f*x) + exp(3*e + 3*f*x)))","B"
437,1,381,66,0.887560,"\text{Not used}","int(tanh(e + f*x)^5/(a + a*sinh(e + f*x)^2)^(1/2),x)","\frac{32\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{3\,a\,f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}+1\right)}^2\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}-\frac{4\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{a\,f\,\left({\mathrm{e}}^{2\,e+2\,f\,x}+1\right)\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}-\frac{352\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{15\,a\,f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}+1\right)}^3\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}+\frac{128\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{5\,a\,f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}+1\right)}^4\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}-\frac{64\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{5\,a\,f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}+1\right)}^5\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}","Not used",1,"(32*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(3*a*f*(exp(2*e + 2*f*x) + 1)^2*(exp(e + f*x) + exp(3*e + 3*f*x))) - (4*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(a*f*(exp(2*e + 2*f*x) + 1)*(exp(e + f*x) + exp(3*e + 3*f*x))) - (352*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(15*a*f*(exp(2*e + 2*f*x) + 1)^3*(exp(e + f*x) + exp(3*e + 3*f*x))) + (128*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(5*a*f*(exp(2*e + 2*f*x) + 1)^4*(exp(e + f*x) + exp(3*e + 3*f*x))) - (64*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(5*a*f*(exp(2*e + 2*f*x) + 1)^5*(exp(e + f*x) + exp(3*e + 3*f*x)))","B"
438,1,82,42,0.118245,"\text{Not used}","int(tanh(e + f*x)^3/(a + a*sinh(e + f*x)^2)^(1/2),x)","-\frac{4\,{\mathrm{e}}^{2\,e+2\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}\,\left(2\,{\mathrm{e}}^{2\,e+2\,f\,x}+3\,{\mathrm{e}}^{4\,e+4\,f\,x}+3\right)}{3\,a\,f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}+1\right)}^4}","Not used",1,"-(4*exp(2*e + 2*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2)*(2*exp(2*e + 2*f*x) + 3*exp(4*e + 4*f*x) + 3))/(3*a*f*(exp(2*e + 2*f*x) + 1)^4)","B"
439,1,30,19,0.847467,"\text{Not used}","int(tanh(e + f*x)/(a + a*sinh(e + f*x)^2)^(1/2),x)","-\frac{\sqrt{a\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}}{a\,f\,{\mathrm{cosh}\left(e+f\,x\right)}^2}","Not used",1,"-(a + a*sinh(e + f*x)^2)^(1/2)/(a*f*cosh(e + f*x)^2)","B"
440,0,-1,31,0.000000,"\text{Not used}","int(coth(e + f*x)/(a + a*sinh(e + f*x)^2)^(1/2),x)","\int \frac{\mathrm{coth}\left(e+f\,x\right)}{\sqrt{a\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}} \,d x","Not used",1,"int(coth(e + f*x)/(a + a*sinh(e + f*x)^2)^(1/2), x)","F"
441,0,-1,66,0.000000,"\text{Not used}","int(coth(e + f*x)^3/(a + a*sinh(e + f*x)^2)^(1/2),x)","\int \frac{{\mathrm{coth}\left(e+f\,x\right)}^3}{\sqrt{a\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}} \,d x","Not used",1,"int(coth(e + f*x)^3/(a + a*sinh(e + f*x)^2)^(1/2), x)","F"
442,0,-1,91,0.000000,"\text{Not used}","int(tanh(e + f*x)^4/(a + a*sinh(e + f*x)^2)^(1/2),x)","\int \frac{{\mathrm{tanh}\left(e+f\,x\right)}^4}{\sqrt{a\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}} \,d x","Not used",1,"int(tanh(e + f*x)^4/(a + a*sinh(e + f*x)^2)^(1/2), x)","F"
443,0,-1,62,0.000000,"\text{Not used}","int(tanh(e + f*x)^2/(a + a*sinh(e + f*x)^2)^(1/2),x)","\int \frac{{\mathrm{tanh}\left(e+f\,x\right)}^2}{\sqrt{a\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}} \,d x","Not used",1,"int(tanh(e + f*x)^2/(a + a*sinh(e + f*x)^2)^(1/2), x)","F"
444,1,76,25,0.112418,"\text{Not used}","int(coth(e + f*x)^2/(a + a*sinh(e + f*x)^2)^(1/2),x)","-\frac{4\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{a\,f\,\left({\mathrm{e}}^{2\,e+2\,f\,x}-1\right)\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}","Not used",1,"-(4*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(a*f*(exp(2*e + 2*f*x) - 1)*(exp(e + f*x) + exp(3*e + 3*f*x)))","B"
445,1,95,61,0.888645,"\text{Not used}","int(coth(e + f*x)^4/(a + a*sinh(e + f*x)^2)^(1/2),x)","-\frac{4\,{\mathrm{e}}^{2\,e+2\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}\,\left(3\,{\mathrm{e}}^{4\,e+4\,f\,x}-2\,{\mathrm{e}}^{2\,e+2\,f\,x}+3\right)}{3\,a\,f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}-1\right)}^3\,\left({\mathrm{e}}^{2\,e+2\,f\,x}+1\right)}","Not used",1,"-(4*exp(2*e + 2*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2)*(3*exp(4*e + 4*f*x) - 2*exp(2*e + 2*f*x) + 3))/(3*a*f*(exp(2*e + 2*f*x) - 1)^3*(exp(2*e + 2*f*x) + 1))","B"
446,1,381,96,0.899414,"\text{Not used}","int(coth(e + f*x)^6/(a + a*sinh(e + f*x)^2)^(1/2),x)","-\frac{4\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{a\,f\,\left({\mathrm{e}}^{2\,e+2\,f\,x}-1\right)\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}-\frac{32\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{3\,a\,f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}-1\right)}^2\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}-\frac{352\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{15\,a\,f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}-1\right)}^3\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}-\frac{128\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{5\,a\,f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}-1\right)}^4\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}-\frac{64\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{5\,a\,f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}-1\right)}^5\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}","Not used",1,"- (4*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(a*f*(exp(2*e + 2*f*x) - 1)*(exp(e + f*x) + exp(3*e + 3*f*x))) - (32*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(3*a*f*(exp(2*e + 2*f*x) - 1)^2*(exp(e + f*x) + exp(3*e + 3*f*x))) - (352*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(15*a*f*(exp(2*e + 2*f*x) - 1)^3*(exp(e + f*x) + exp(3*e + 3*f*x))) - (128*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(5*a*f*(exp(2*e + 2*f*x) - 1)^4*(exp(e + f*x) + exp(3*e + 3*f*x))) - (64*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(5*a*f*(exp(2*e + 2*f*x) - 1)^5*(exp(e + f*x) + exp(3*e + 3*f*x)))","B"
447,1,457,68,0.163134,"\text{Not used}","int(tanh(e + f*x)^5/(a + a*sinh(e + f*x)^2)^(3/2),x)","\frac{464\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{15\,a^2\,f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}+1\right)}^3\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}-\frac{16\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{3\,a^2\,f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}+1\right)}^2\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}-\frac{3072\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{35\,a^2\,f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}+1\right)}^4\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}+\frac{4736\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{35\,a^2\,f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}+1\right)}^5\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}-\frac{768\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{7\,a^2\,f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}+1\right)}^6\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}+\frac{256\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{7\,a^2\,f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}+1\right)}^7\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}","Not used",1,"(464*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(15*a^2*f*(exp(2*e + 2*f*x) + 1)^3*(exp(e + f*x) + exp(3*e + 3*f*x))) - (16*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(3*a^2*f*(exp(2*e + 2*f*x) + 1)^2*(exp(e + f*x) + exp(3*e + 3*f*x))) - (3072*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(35*a^2*f*(exp(2*e + 2*f*x) + 1)^4*(exp(e + f*x) + exp(3*e + 3*f*x))) + (4736*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(35*a^2*f*(exp(2*e + 2*f*x) + 1)^5*(exp(e + f*x) + exp(3*e + 3*f*x))) - (768*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(7*a^2*f*(exp(2*e + 2*f*x) + 1)^6*(exp(e + f*x) + exp(3*e + 3*f*x))) + (256*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(7*a^2*f*(exp(2*e + 2*f*x) + 1)^7*(exp(e + f*x) + exp(3*e + 3*f*x)))","B"
448,1,305,44,0.926122,"\text{Not used}","int(tanh(e + f*x)^3/(a + a*sinh(e + f*x)^2)^(3/2),x)","\frac{272\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{15\,a^2\,f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}+1\right)}^3\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}-\frac{16\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{3\,a^2\,f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}+1\right)}^2\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}-\frac{128\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{5\,a^2\,f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}+1\right)}^4\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}+\frac{64\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{5\,a^2\,f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}+1\right)}^5\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}","Not used",1,"(272*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(15*a^2*f*(exp(2*e + 2*f*x) + 1)^3*(exp(e + f*x) + exp(3*e + 3*f*x))) - (16*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(3*a^2*f*(exp(2*e + 2*f*x) + 1)^2*(exp(e + f*x) + exp(3*e + 3*f*x))) - (128*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(5*a^2*f*(exp(2*e + 2*f*x) + 1)^4*(exp(e + f*x) + exp(3*e + 3*f*x))) + (64*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(5*a^2*f*(exp(2*e + 2*f*x) + 1)^5*(exp(e + f*x) + exp(3*e + 3*f*x)))","B"
449,1,58,21,0.877486,"\text{Not used}","int(tanh(e + f*x)/(a + a*sinh(e + f*x)^2)^(3/2),x)","-\frac{16\,{\mathrm{e}}^{4\,e+4\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{3\,a^2\,f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}+1\right)}^4}","Not used",1,"-(16*exp(4*e + 4*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(3*a^2*f*(exp(2*e + 2*f*x) + 1)^4)","B"
450,0,-1,53,0.000000,"\text{Not used}","int(coth(e + f*x)/(a + a*sinh(e + f*x)^2)^(3/2),x)","\int \frac{\mathrm{coth}\left(e+f\,x\right)}{{\left(a\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}} \,d x","Not used",1,"int(coth(e + f*x)/(a + a*sinh(e + f*x)^2)^(3/2), x)","F"
451,0,-1,66,0.000000,"\text{Not used}","int(coth(e + f*x)^3/(a + a*sinh(e + f*x)^2)^(3/2),x)","\int \frac{{\mathrm{coth}\left(e+f\,x\right)}^3}{{\left(a\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}} \,d x","Not used",1,"int(coth(e + f*x)^3/(a + a*sinh(e + f*x)^2)^(3/2), x)","F"
452,0,-1,106,0.000000,"\text{Not used}","int(tanh(e + f*x)^2/(a + a*sinh(e + f*x)^2)^(3/2),x)","\int \frac{{\mathrm{tanh}\left(e+f\,x\right)}^2}{{\left(a\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}} \,d x","Not used",1,"int(tanh(e + f*x)^2/(a + a*sinh(e + f*x)^2)^(3/2), x)","F"
453,0,-1,64,0.000000,"\text{Not used}","int(coth(e + f*x)^2/(a + a*sinh(e + f*x)^2)^(3/2),x)","\int \frac{{\mathrm{coth}\left(e+f\,x\right)}^2}{{\left(a\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}} \,d x","Not used",1,"int(coth(e + f*x)^2/(a + a*sinh(e + f*x)^2)^(3/2), x)","F"
454,1,71,38,0.899003,"\text{Not used}","int(coth(e + f*x)^4/(a + a*sinh(e + f*x)^2)^(3/2),x)","-\frac{16\,{\mathrm{e}}^{4\,e+4\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{3\,a^2\,f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}-1\right)}^3\,\left({\mathrm{e}}^{2\,e+2\,f\,x}+1\right)}","Not used",1,"-(16*exp(4*e + 4*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(3*a^2*f*(exp(2*e + 2*f*x) - 1)^3*(exp(2*e + 2*f*x) + 1))","B"
455,1,305,77,0.157696,"\text{Not used}","int(coth(e + f*x)^6/(a + a*sinh(e + f*x)^2)^(3/2),x)","-\frac{16\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{3\,a^2\,f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}-1\right)}^2\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}-\frac{272\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{15\,a^2\,f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}-1\right)}^3\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}-\frac{128\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{5\,a^2\,f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}-1\right)}^4\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}-\frac{64\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{5\,a^2\,f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}-1\right)}^5\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}","Not used",1,"- (16*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(3*a^2*f*(exp(2*e + 2*f*x) - 1)^2*(exp(e + f*x) + exp(3*e + 3*f*x))) - (272*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(15*a^2*f*(exp(2*e + 2*f*x) - 1)^3*(exp(e + f*x) + exp(3*e + 3*f*x))) - (128*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(5*a^2*f*(exp(2*e + 2*f*x) - 1)^4*(exp(e + f*x) + exp(3*e + 3*f*x))) - (64*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(5*a^2*f*(exp(2*e + 2*f*x) - 1)^5*(exp(e + f*x) + exp(3*e + 3*f*x)))","B"
456,1,457,115,0.950193,"\text{Not used}","int(coth(e + f*x)^8/(a + a*sinh(e + f*x)^2)^(3/2),x)","-\frac{16\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{3\,a^2\,f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}-1\right)}^2\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}-\frac{464\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{15\,a^2\,f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}-1\right)}^3\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}-\frac{3072\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{35\,a^2\,f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}-1\right)}^4\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}-\frac{4736\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{35\,a^2\,f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}-1\right)}^5\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}-\frac{768\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{7\,a^2\,f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}-1\right)}^6\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}-\frac{256\,{\mathrm{e}}^{3\,e+3\,f\,x}\,\sqrt{a+a\,{\left(\frac{{\mathrm{e}}^{e+f\,x}}{2}-\frac{{\mathrm{e}}^{-e-f\,x}}{2}\right)}^2}}{7\,a^2\,f\,{\left({\mathrm{e}}^{2\,e+2\,f\,x}-1\right)}^7\,\left({\mathrm{e}}^{e+f\,x}+{\mathrm{e}}^{3\,e+3\,f\,x}\right)}","Not used",1,"- (16*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(3*a^2*f*(exp(2*e + 2*f*x) - 1)^2*(exp(e + f*x) + exp(3*e + 3*f*x))) - (464*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(15*a^2*f*(exp(2*e + 2*f*x) - 1)^3*(exp(e + f*x) + exp(3*e + 3*f*x))) - (3072*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(35*a^2*f*(exp(2*e + 2*f*x) - 1)^4*(exp(e + f*x) + exp(3*e + 3*f*x))) - (4736*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(35*a^2*f*(exp(2*e + 2*f*x) - 1)^5*(exp(e + f*x) + exp(3*e + 3*f*x))) - (768*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(7*a^2*f*(exp(2*e + 2*f*x) - 1)^6*(exp(e + f*x) + exp(3*e + 3*f*x))) - (256*exp(3*e + 3*f*x)*(a + a*(exp(e + f*x)/2 - exp(- e - f*x)/2)^2)^(1/2))/(7*a^2*f*(exp(2*e + 2*f*x) - 1)^7*(exp(e + f*x) + exp(3*e + 3*f*x)))","B"
457,0,-1,187,0.000000,"\text{Not used}","int(tanh(e + f*x)^5*(a + b*sinh(e + f*x)^2)^(1/2),x)","\int {\mathrm{tanh}\left(e+f\,x\right)}^5\,\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a} \,d x","Not used",1,"int(tanh(e + f*x)^5*(a + b*sinh(e + f*x)^2)^(1/2), x)","F"
458,0,-1,126,0.000000,"\text{Not used}","int(tanh(e + f*x)^3*(a + b*sinh(e + f*x)^2)^(1/2),x)","\int {\mathrm{tanh}\left(e+f\,x\right)}^3\,\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a} \,d x","Not used",1,"int(tanh(e + f*x)^3*(a + b*sinh(e + f*x)^2)^(1/2), x)","F"
459,0,-1,62,0.000000,"\text{Not used}","int(tanh(e + f*x)*(a + b*sinh(e + f*x)^2)^(1/2),x)","\int \mathrm{tanh}\left(e+f\,x\right)\,\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a} \,d x","Not used",1,"int(tanh(e + f*x)*(a + b*sinh(e + f*x)^2)^(1/2), x)","F"
460,0,-1,54,0.000000,"\text{Not used}","int(coth(e + f*x)*(a + b*sinh(e + f*x)^2)^(1/2),x)","\int \mathrm{coth}\left(e+f\,x\right)\,\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a} \,d x","Not used",1,"int(coth(e + f*x)*(a + b*sinh(e + f*x)^2)^(1/2), x)","F"
461,0,-1,106,0.000000,"\text{Not used}","int(coth(e + f*x)^3*(a + b*sinh(e + f*x)^2)^(1/2),x)","\int {\mathrm{coth}\left(e+f\,x\right)}^3\,\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a} \,d x","Not used",1,"int(coth(e + f*x)^3*(a + b*sinh(e + f*x)^2)^(1/2), x)","F"
462,0,-1,167,0.000000,"\text{Not used}","int(coth(e + f*x)^5*(a + b*sinh(e + f*x)^2)^(1/2),x)","\int {\mathrm{coth}\left(e+f\,x\right)}^5\,\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a} \,d x","Not used",1,"int(coth(e + f*x)^5*(a + b*sinh(e + f*x)^2)^(1/2), x)","F"
463,0,-1,292,0.000000,"\text{Not used}","int(tanh(e + f*x)^4*(a + b*sinh(e + f*x)^2)^(1/2),x)","\int {\mathrm{tanh}\left(e+f\,x\right)}^4\,\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a} \,d x","Not used",1,"int(tanh(e + f*x)^4*(a + b*sinh(e + f*x)^2)^(1/2), x)","F"
464,0,-1,168,0.000000,"\text{Not used}","int(tanh(e + f*x)^2*(a + b*sinh(e + f*x)^2)^(1/2),x)","\int {\mathrm{tanh}\left(e+f\,x\right)}^2\,\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a} \,d x","Not used",1,"int(tanh(e + f*x)^2*(a + b*sinh(e + f*x)^2)^(1/2), x)","F"
465,0,-1,60,0.000000,"\text{Not used}","int((a + b*sinh(e + f*x)^2)^(1/2),x)","\int \sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a} \,d x","Not used",1,"int((a + b*sinh(e + f*x)^2)^(1/2), x)","F"
466,0,-1,202,0.000000,"\text{Not used}","int(coth(e + f*x)^2*(a + b*sinh(e + f*x)^2)^(1/2),x)","\int {\mathrm{coth}\left(e+f\,x\right)}^2\,\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a} \,d x","Not used",1,"int(coth(e + f*x)^2*(a + b*sinh(e + f*x)^2)^(1/2), x)","F"
467,0,-1,270,0.000000,"\text{Not used}","int(coth(e + f*x)^4*(a + b*sinh(e + f*x)^2)^(1/2),x)","\int {\mathrm{coth}\left(e+f\,x\right)}^4\,\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a} \,d x","Not used",1,"int(coth(e + f*x)^4*(a + b*sinh(e + f*x)^2)^(1/2), x)","F"
468,0,-1,232,0.000000,"\text{Not used}","int(tanh(e + f*x)^5*(a + b*sinh(e + f*x)^2)^(3/2),x)","\int {\mathrm{tanh}\left(e+f\,x\right)}^5\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2} \,d x","Not used",1,"int(tanh(e + f*x)^5*(a + b*sinh(e + f*x)^2)^(3/2), x)","F"
469,0,-1,156,0.000000,"\text{Not used}","int(tanh(e + f*x)^3*(a + b*sinh(e + f*x)^2)^(3/2),x)","\int {\mathrm{tanh}\left(e+f\,x\right)}^3\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2} \,d x","Not used",1,"int(tanh(e + f*x)^3*(a + b*sinh(e + f*x)^2)^(3/2), x)","F"
470,0,-1,90,0.000000,"\text{Not used}","int(tanh(e + f*x)*(a + b*sinh(e + f*x)^2)^(3/2),x)","\int \mathrm{tanh}\left(e+f\,x\right)\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2} \,d x","Not used",1,"int(tanh(e + f*x)*(a + b*sinh(e + f*x)^2)^(3/2), x)","F"
471,0,-1,78,0.000000,"\text{Not used}","int(coth(e + f*x)*(a + b*sinh(e + f*x)^2)^(3/2),x)","\int \mathrm{coth}\left(e+f\,x\right)\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2} \,d x","Not used",1,"int(coth(e + f*x)*(a + b*sinh(e + f*x)^2)^(3/2), x)","F"
472,0,-1,140,0.000000,"\text{Not used}","int(coth(e + f*x)^3*(a + b*sinh(e + f*x)^2)^(3/2),x)","\int {\mathrm{coth}\left(e+f\,x\right)}^3\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2} \,d x","Not used",1,"int(coth(e + f*x)^3*(a + b*sinh(e + f*x)^2)^(3/2), x)","F"
473,0,-1,203,0.000000,"\text{Not used}","int(coth(e + f*x)^5*(a + b*sinh(e + f*x)^2)^(3/2),x)","\int {\mathrm{coth}\left(e+f\,x\right)}^5\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2} \,d x","Not used",1,"int(coth(e + f*x)^5*(a + b*sinh(e + f*x)^2)^(3/2), x)","F"
474,0,-1,305,0.000000,"\text{Not used}","int(tanh(e + f*x)^4*(a + b*sinh(e + f*x)^2)^(3/2),x)","\int {\mathrm{tanh}\left(e+f\,x\right)}^4\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2} \,d x","Not used",1,"int(tanh(e + f*x)^4*(a + b*sinh(e + f*x)^2)^(3/2), x)","F"
475,0,-1,260,0.000000,"\text{Not used}","int(tanh(e + f*x)^2*(a + b*sinh(e + f*x)^2)^(3/2),x)","\int {\mathrm{tanh}\left(e+f\,x\right)}^2\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2} \,d x","Not used",1,"int(tanh(e + f*x)^2*(a + b*sinh(e + f*x)^2)^(3/2), x)","F"
476,0,-1,174,0.000000,"\text{Not used}","int((a + b*sinh(e + f*x)^2)^(3/2),x)","\int {\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2} \,d x","Not used",1,"int((a + b*sinh(e + f*x)^2)^(3/2), x)","F"
477,0,-1,256,0.000000,"\text{Not used}","int(coth(e + f*x)^2*(a + b*sinh(e + f*x)^2)^(3/2),x)","\int {\mathrm{coth}\left(e+f\,x\right)}^2\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2} \,d x","Not used",1,"int(coth(e + f*x)^2*(a + b*sinh(e + f*x)^2)^(3/2), x)","F"
478,0,-1,306,0.000000,"\text{Not used}","int(coth(e + f*x)^4*(a + b*sinh(e + f*x)^2)^(3/2),x)","\int {\mathrm{coth}\left(e+f\,x\right)}^4\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2} \,d x","Not used",1,"int(coth(e + f*x)^4*(a + b*sinh(e + f*x)^2)^(3/2), x)","F"
479,0,-1,142,0.000000,"\text{Not used}","int(tanh(e + f*x)^5/(a + b*sinh(e + f*x)^2)^(1/2),x)","\int \frac{{\mathrm{tanh}\left(e+f\,x\right)}^5}{\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}} \,d x","Not used",1,"int(tanh(e + f*x)^5/(a + b*sinh(e + f*x)^2)^(1/2), x)","F"
480,0,-1,89,0.000000,"\text{Not used}","int(tanh(e + f*x)^3/(a + b*sinh(e + f*x)^2)^(1/2),x)","\int \frac{{\mathrm{tanh}\left(e+f\,x\right)}^3}{\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}} \,d x","Not used",1,"int(tanh(e + f*x)^3/(a + b*sinh(e + f*x)^2)^(1/2), x)","F"
481,0,-1,41,0.000000,"\text{Not used}","int(tanh(e + f*x)/(a + b*sinh(e + f*x)^2)^(1/2),x)","\int \frac{\mathrm{tanh}\left(e+f\,x\right)}{\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}} \,d x","Not used",1,"int(tanh(e + f*x)/(a + b*sinh(e + f*x)^2)^(1/2), x)","F"
482,0,-1,33,0.000000,"\text{Not used}","int(coth(e + f*x)/(a + b*sinh(e + f*x)^2)^(1/2),x)","\int \frac{\mathrm{coth}\left(e+f\,x\right)}{\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}} \,d x","Not used",1,"int(coth(e + f*x)/(a + b*sinh(e + f*x)^2)^(1/2), x)","F"
483,0,-1,77,0.000000,"\text{Not used}","int(coth(e + f*x)^3/(a + b*sinh(e + f*x)^2)^(1/2),x)","\int \frac{{\mathrm{coth}\left(e+f\,x\right)}^3}{\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}} \,d x","Not used",1,"int(coth(e + f*x)^3/(a + b*sinh(e + f*x)^2)^(1/2), x)","F"
484,0,-1,126,0.000000,"\text{Not used}","int(coth(e + f*x)^5/(a + b*sinh(e + f*x)^2)^(1/2),x)","\int \frac{{\mathrm{coth}\left(e+f\,x\right)}^5}{\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}} \,d x","Not used",1,"int(coth(e + f*x)^5/(a + b*sinh(e + f*x)^2)^(1/2), x)","F"
485,0,-1,219,0.000000,"\text{Not used}","int(tanh(e + f*x)^4/(a + b*sinh(e + f*x)^2)^(1/2),x)","\int \frac{{\mathrm{tanh}\left(e+f\,x\right)}^4}{\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}} \,d x","Not used",1,"int(tanh(e + f*x)^4/(a + b*sinh(e + f*x)^2)^(1/2), x)","F"
486,0,-1,156,0.000000,"\text{Not used}","int(tanh(e + f*x)^2/(a + b*sinh(e + f*x)^2)^(1/2),x)","\int \frac{{\mathrm{tanh}\left(e+f\,x\right)}^2}{\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}} \,d x","Not used",1,"int(tanh(e + f*x)^2/(a + b*sinh(e + f*x)^2)^(1/2), x)","F"
487,0,-1,60,0.000000,"\text{Not used}","int(1/(a + b*sinh(e + f*x)^2)^(1/2),x)","\int \frac{1}{\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}} \,d x","Not used",1,"int(1/(a + b*sinh(e + f*x)^2)^(1/2), x)","F"
488,0,-1,207,0.000000,"\text{Not used}","int(coth(e + f*x)^2/(a + b*sinh(e + f*x)^2)^(1/2),x)","\int \frac{{\mathrm{coth}\left(e+f\,x\right)}^2}{\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}} \,d x","Not used",1,"int(coth(e + f*x)^2/(a + b*sinh(e + f*x)^2)^(1/2), x)","F"
489,0,-1,285,0.000000,"\text{Not used}","int(coth(e + f*x)^4/(a + b*sinh(e + f*x)^2)^(1/2),x)","\int \frac{{\mathrm{coth}\left(e+f\,x\right)}^4}{\sqrt{b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a}} \,d x","Not used",1,"int(coth(e + f*x)^4/(a + b*sinh(e + f*x)^2)^(1/2), x)","F"
490,-1,-1,187,0.000000,"\text{Not used}","int(tanh(e + f*x)^5/(a + b*sinh(e + f*x)^2)^(3/2),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
491,0,-1,122,0.000000,"\text{Not used}","int(tanh(e + f*x)^3/(a + b*sinh(e + f*x)^2)^(3/2),x)","\int \frac{{\mathrm{tanh}\left(e+f\,x\right)}^3}{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}} \,d x","Not used",1,"int(tanh(e + f*x)^3/(a + b*sinh(e + f*x)^2)^(3/2), x)","F"
492,0,-1,69,0.000000,"\text{Not used}","int(tanh(e + f*x)/(a + b*sinh(e + f*x)^2)^(3/2),x)","\int \frac{\mathrm{tanh}\left(e+f\,x\right)}{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}} \,d x","Not used",1,"int(tanh(e + f*x)/(a + b*sinh(e + f*x)^2)^(3/2), x)","F"
493,0,-1,57,0.000000,"\text{Not used}","int(coth(e + f*x)/(a + b*sinh(e + f*x)^2)^(3/2),x)","\int \frac{\mathrm{coth}\left(e+f\,x\right)}{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}} \,d x","Not used",1,"int(coth(e + f*x)/(a + b*sinh(e + f*x)^2)^(3/2), x)","F"
494,0,-1,110,0.000000,"\text{Not used}","int(coth(e + f*x)^3/(a + b*sinh(e + f*x)^2)^(3/2),x)","\int \frac{{\mathrm{coth}\left(e+f\,x\right)}^3}{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}} \,d x","Not used",1,"int(coth(e + f*x)^3/(a + b*sinh(e + f*x)^2)^(3/2), x)","F"
495,-1,-1,167,0.000000,"\text{Not used}","int(coth(e + f*x)^5/(a + b*sinh(e + f*x)^2)^(3/2),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
496,0,-1,275,0.000000,"\text{Not used}","int(tanh(e + f*x)^4/(a + b*sinh(e + f*x)^2)^(3/2),x)","\int \frac{{\mathrm{tanh}\left(e+f\,x\right)}^4}{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}} \,d x","Not used",1,"int(tanh(e + f*x)^4/(a + b*sinh(e + f*x)^2)^(3/2), x)","F"
497,0,-1,217,0.000000,"\text{Not used}","int(tanh(e + f*x)^2/(a + b*sinh(e + f*x)^2)^(3/2),x)","\int \frac{{\mathrm{tanh}\left(e+f\,x\right)}^2}{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}} \,d x","Not used",1,"int(tanh(e + f*x)^2/(a + b*sinh(e + f*x)^2)^(3/2), x)","F"
498,0,-1,115,0.000000,"\text{Not used}","int(1/(a + b*sinh(e + f*x)^2)^(3/2),x)","\int \frac{1}{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}} \,d x","Not used",1,"int(1/(a + b*sinh(e + f*x)^2)^(3/2), x)","F"
499,0,-1,237,0.000000,"\text{Not used}","int(coth(e + f*x)^2/(a + b*sinh(e + f*x)^2)^(3/2),x)","\int \frac{{\mathrm{coth}\left(e+f\,x\right)}^2}{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}} \,d x","Not used",1,"int(coth(e + f*x)^2/(a + b*sinh(e + f*x)^2)^(3/2), x)","F"
500,0,-1,341,0.000000,"\text{Not used}","int(coth(e + f*x)^4/(a + b*sinh(e + f*x)^2)^(3/2),x)","\int \frac{{\mathrm{coth}\left(e+f\,x\right)}^4}{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{3/2}} \,d x","Not used",1,"int(coth(e + f*x)^4/(a + b*sinh(e + f*x)^2)^(3/2), x)","F"
501,-1,-1,232,0.000000,"\text{Not used}","int(tanh(e + f*x)^5/(a + b*sinh(e + f*x)^2)^(5/2),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
502,0,-1,163,0.000000,"\text{Not used}","int(tanh(e + f*x)^3/(a + b*sinh(e + f*x)^2)^(5/2),x)","\int \frac{{\mathrm{tanh}\left(e+f\,x\right)}^3}{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{5/2}} \,d x","Not used",1,"int(tanh(e + f*x)^3/(a + b*sinh(e + f*x)^2)^(5/2), x)","F"
503,0,-1,99,0.000000,"\text{Not used}","int(tanh(e + f*x)/(a + b*sinh(e + f*x)^2)^(5/2),x)","\int \frac{\mathrm{tanh}\left(e+f\,x\right)}{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{5/2}} \,d x","Not used",1,"int(tanh(e + f*x)/(a + b*sinh(e + f*x)^2)^(5/2), x)","F"
504,0,-1,83,0.000000,"\text{Not used}","int(coth(e + f*x)/(a + b*sinh(e + f*x)^2)^(5/2),x)","\int \frac{\mathrm{coth}\left(e+f\,x\right)}{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{5/2}} \,d x","Not used",1,"int(coth(e + f*x)/(a + b*sinh(e + f*x)^2)^(5/2), x)","F"
505,0,-1,143,0.000000,"\text{Not used}","int(coth(e + f*x)^3/(a + b*sinh(e + f*x)^2)^(5/2),x)","\int \frac{{\mathrm{coth}\left(e+f\,x\right)}^3}{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{5/2}} \,d x","Not used",1,"int(coth(e + f*x)^3/(a + b*sinh(e + f*x)^2)^(5/2), x)","F"
506,-1,-1,208,0.000000,"\text{Not used}","int(coth(e + f*x)^5/(a + b*sinh(e + f*x)^2)^(5/2),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
507,0,-1,333,0.000000,"\text{Not used}","int(tanh(e + f*x)^4/(a + b*sinh(e + f*x)^2)^(5/2),x)","\int \frac{{\mathrm{tanh}\left(e+f\,x\right)}^4}{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{5/2}} \,d x","Not used",1,"int(tanh(e + f*x)^4/(a + b*sinh(e + f*x)^2)^(5/2), x)","F"
508,0,-1,274,0.000000,"\text{Not used}","int(tanh(e + f*x)^2/(a + b*sinh(e + f*x)^2)^(5/2),x)","\int \frac{{\mathrm{tanh}\left(e+f\,x\right)}^2}{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{5/2}} \,d x","Not used",1,"int(tanh(e + f*x)^2/(a + b*sinh(e + f*x)^2)^(5/2), x)","F"
509,0,-1,251,0.000000,"\text{Not used}","int(1/(a + b*sinh(e + f*x)^2)^(5/2),x)","\int \frac{1}{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{5/2}} \,d x","Not used",1,"int(1/(a + b*sinh(e + f*x)^2)^(5/2), x)","F"
510,0,-1,351,0.000000,"\text{Not used}","int(coth(e + f*x)^2/(a + b*sinh(e + f*x)^2)^(5/2),x)","\int \frac{{\mathrm{coth}\left(e+f\,x\right)}^2}{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{5/2}} \,d x","Not used",1,"int(coth(e + f*x)^2/(a + b*sinh(e + f*x)^2)^(5/2), x)","F"
511,0,-1,385,0.000000,"\text{Not used}","int(coth(e + f*x)^4/(a + b*sinh(e + f*x)^2)^(5/2),x)","\int \frac{{\mathrm{coth}\left(e+f\,x\right)}^4}{{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^{5/2}} \,d x","Not used",1,"int(coth(e + f*x)^4/(a + b*sinh(e + f*x)^2)^(5/2), x)","F"
512,0,-1,122,0.000000,"\text{Not used}","int((d*tanh(e + f*x))^m*(a + b*sinh(e + f*x)^2)^p,x)","\int {\left(d\,\mathrm{tanh}\left(e+f\,x\right)\right)}^m\,{\left(b\,{\mathrm{sinh}\left(e+f\,x\right)}^2+a\right)}^p \,d x","Not used",1,"int((d*tanh(e + f*x))^m*(a + b*sinh(e + f*x)^2)^p, x)","F"
513,0,-1,110,0.000000,"\text{Not used}","int(tanh(c + d*x)^3*(a + b*sinh(c + d*x)^2)^p,x)","\int {\mathrm{tanh}\left(c+d\,x\right)}^3\,{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^p \,d x","Not used",1,"int(tanh(c + d*x)^3*(a + b*sinh(c + d*x)^2)^p, x)","F"
514,0,-1,63,0.000000,"\text{Not used}","int(tanh(c + d*x)*(a + b*sinh(c + d*x)^2)^p,x)","\int \mathrm{tanh}\left(c+d\,x\right)\,{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^p \,d x","Not used",1,"int(tanh(c + d*x)*(a + b*sinh(c + d*x)^2)^p, x)","F"
515,0,-1,54,0.000000,"\text{Not used}","int(coth(c + d*x)*(a + b*sinh(c + d*x)^2)^p,x)","\int \mathrm{coth}\left(c+d\,x\right)\,{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^p \,d x","Not used",1,"int(coth(c + d*x)*(a + b*sinh(c + d*x)^2)^p, x)","F"
516,0,-1,94,0.000000,"\text{Not used}","int(coth(c + d*x)^3*(a + b*sinh(c + d*x)^2)^p,x)","\int {\mathrm{coth}\left(c+d\,x\right)}^3\,{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^p \,d x","Not used",1,"int(coth(c + d*x)^3*(a + b*sinh(c + d*x)^2)^p, x)","F"
517,0,-1,103,0.000000,"\text{Not used}","int(tanh(c + d*x)^4*(a + b*sinh(c + d*x)^2)^p,x)","\int {\mathrm{tanh}\left(c+d\,x\right)}^4\,{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^p \,d x","Not used",1,"int(tanh(c + d*x)^4*(a + b*sinh(c + d*x)^2)^p, x)","F"
518,0,-1,103,0.000000,"\text{Not used}","int(tanh(c + d*x)^2*(a + b*sinh(c + d*x)^2)^p,x)","\int {\mathrm{tanh}\left(c+d\,x\right)}^2\,{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^p \,d x","Not used",1,"int(tanh(c + d*x)^2*(a + b*sinh(c + d*x)^2)^p, x)","F"
519,0,-1,99,0.000000,"\text{Not used}","int(coth(c + d*x)^2*(a + b*sinh(c + d*x)^2)^p,x)","\int {\mathrm{coth}\left(c+d\,x\right)}^2\,{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^p \,d x","Not used",1,"int(coth(c + d*x)^2*(a + b*sinh(c + d*x)^2)^p, x)","F"
520,0,-1,103,0.000000,"\text{Not used}","int(coth(c + d*x)^4*(a + b*sinh(c + d*x)^2)^p,x)","\int {\mathrm{coth}\left(c+d\,x\right)}^4\,{\left(b\,{\mathrm{sinh}\left(c+d\,x\right)}^2+a\right)}^p \,d x","Not used",1,"int(coth(c + d*x)^4*(a + b*sinh(c + d*x)^2)^p, x)","F"
521,1,1129,152,0.917082,"\text{Not used}","int(coth(x)^3/(a + b*sinh(x)^3),x)","\frac{2}{a-a\,{\mathrm{e}}^{2\,x}}-\frac{2}{a-2\,a\,{\mathrm{e}}^{2\,x}+a\,{\mathrm{e}}^{4\,x}}+\left(\sum _{k=1}^3\ln\left(\frac{50331648\,a^6\,{\mathrm{e}}^{2\,x}+786432\,b^6\,{\mathrm{e}}^{2\,x}-\mathrm{root}\left(27\,a^5\,z^3+27\,a^4\,z^2+9\,a^3\,z+b^2+a^2,z,k\right)\,a^7\,452984832-50331648\,a^6-786432\,b^6-{\mathrm{root}\left(27\,a^5\,z^3+27\,a^4\,z^2+9\,a^3\,z+b^2+a^2,z,k\right)}^2\,a^8\,1358954496-{\mathrm{root}\left(27\,a^5\,z^3+27\,a^4\,z^2+9\,a^3\,z+b^2+a^2,z,k\right)}^3\,a^9\,1358954496-50593792\,a^2\,b^4-102498304\,a^4\,b^2+{\mathrm{root}\left(27\,a^5\,z^3+27\,a^4\,z^2+9\,a^3\,z+b^2+a^2,z,k\right)}^2\,a^8\,{\mathrm{e}}^{2\,x}\,1358954496+{\mathrm{root}\left(27\,a^5\,z^3+27\,a^4\,z^2+9\,a^3\,z+b^2+a^2,z,k\right)}^3\,a^9\,{\mathrm{e}}^{2\,x}\,1358954496+50593792\,a^2\,b^4\,{\mathrm{e}}^{2\,x}+102498304\,a^4\,b^2\,{\mathrm{e}}^{2\,x}-\mathrm{root}\left(27\,a^5\,z^3+27\,a^4\,z^2+9\,a^3\,z+b^2+a^2,z,k\right)\,a^3\,b^4\,7602176-\mathrm{root}\left(27\,a^5\,z^3+27\,a^4\,z^2+9\,a^3\,z+b^2+a^2,z,k\right)\,a^5\,b^2\,465305600+524288\,a\,b^5\,{\mathrm{e}}^x-{\mathrm{root}\left(27\,a^5\,z^3+27\,a^4\,z^2+9\,a^3\,z+b^2+a^2,z,k\right)}^2\,a^4\,b^4\,24379392-{\mathrm{root}\left(27\,a^5\,z^3+27\,a^4\,z^2+9\,a^3\,z+b^2+a^2,z,k\right)}^2\,a^6\,b^2\,1383333888-{\mathrm{root}\left(27\,a^5\,z^3+27\,a^4\,z^2+9\,a^3\,z+b^2+a^2,z,k\right)}^3\,a^5\,b^4\,18874368-{\mathrm{root}\left(27\,a^5\,z^3+27\,a^4\,z^2+9\,a^3\,z+b^2+a^2,z,k\right)}^3\,a^7\,b^2\,1370750976+\mathrm{root}\left(27\,a^5\,z^3+27\,a^4\,z^2+9\,a^3\,z+b^2+a^2,z,k\right)\,a^7\,{\mathrm{e}}^{2\,x}\,452984832+5242880\,a^3\,b^3\,{\mathrm{e}}^x-\mathrm{root}\left(27\,a^5\,z^3+27\,a^4\,z^2+9\,a^3\,z+b^2+a^2,z,k\right)\,a^2\,b^5\,{\mathrm{e}}^x\,524288+\mathrm{root}\left(27\,a^5\,z^3+27\,a^4\,z^2+9\,a^3\,z+b^2+a^2,z,k\right)\,a^4\,b^3\,{\mathrm{e}}^x\,8912896+\mathrm{root}\left(27\,a^5\,z^3+27\,a^4\,z^2+9\,a^3\,z+b^2+a^2,z,k\right)\,a^3\,b^4\,{\mathrm{e}}^{2\,x}\,7602176+\mathrm{root}\left(27\,a^5\,z^3+27\,a^4\,z^2+9\,a^3\,z+b^2+a^2,z,k\right)\,a^5\,b^2\,{\mathrm{e}}^{2\,x}\,465305600-{\mathrm{root}\left(27\,a^5\,z^3+27\,a^4\,z^2+9\,a^3\,z+b^2+a^2,z,k\right)}^3\,a^6\,b^3\,{\mathrm{e}}^x\,14155776+{\mathrm{root}\left(27\,a^5\,z^3+27\,a^4\,z^2+9\,a^3\,z+b^2+a^2,z,k\right)}^2\,a^4\,b^4\,{\mathrm{e}}^{2\,x}\,24379392+{\mathrm{root}\left(27\,a^5\,z^3+27\,a^4\,z^2+9\,a^3\,z+b^2+a^2,z,k\right)}^2\,a^6\,b^2\,{\mathrm{e}}^{2\,x}\,1383333888+{\mathrm{root}\left(27\,a^5\,z^3+27\,a^4\,z^2+9\,a^3\,z+b^2+a^2,z,k\right)}^3\,a^5\,b^4\,{\mathrm{e}}^{2\,x}\,18874368+{\mathrm{root}\left(27\,a^5\,z^3+27\,a^4\,z^2+9\,a^3\,z+b^2+a^2,z,k\right)}^3\,a^7\,b^2\,{\mathrm{e}}^{2\,x}\,1370750976}{a^6\,b^6}\right)\,\mathrm{root}\left(27\,a^5\,z^3+27\,a^4\,z^2+9\,a^3\,z+b^2+a^2,z,k\right)\right)+\frac{\ln\left(3221225472\,a^6\,{\mathrm{e}}^{2\,x}+786432\,b^6\,{\mathrm{e}}^{2\,x}-3221225472\,a^6-786432\,b^6-101449728\,a^2\,b^4-3321888768\,a^4\,b^2+101449728\,a^2\,b^4\,{\mathrm{e}}^{2\,x}+3321888768\,a^4\,b^2\,{\mathrm{e}}^{2\,x}\right)}{a}","Not used",1,"2/(a - a*exp(2*x)) - 2/(a - 2*a*exp(2*x) + a*exp(4*x)) + symsum(log((50331648*a^6*exp(2*x) + 786432*b^6*exp(2*x) - 452984832*root(27*a^5*z^3 + 27*a^4*z^2 + 9*a^3*z + b^2 + a^2, z, k)*a^7 - 50331648*a^6 - 786432*b^6 - 1358954496*root(27*a^5*z^3 + 27*a^4*z^2 + 9*a^3*z + b^2 + a^2, z, k)^2*a^8 - 1358954496*root(27*a^5*z^3 + 27*a^4*z^2 + 9*a^3*z + b^2 + a^2, z, k)^3*a^9 - 50593792*a^2*b^4 - 102498304*a^4*b^2 + 1358954496*root(27*a^5*z^3 + 27*a^4*z^2 + 9*a^3*z + b^2 + a^2, z, k)^2*a^8*exp(2*x) + 1358954496*root(27*a^5*z^3 + 27*a^4*z^2 + 9*a^3*z + b^2 + a^2, z, k)^3*a^9*exp(2*x) + 50593792*a^2*b^4*exp(2*x) + 102498304*a^4*b^2*exp(2*x) - 7602176*root(27*a^5*z^3 + 27*a^4*z^2 + 9*a^3*z + b^2 + a^2, z, k)*a^3*b^4 - 465305600*root(27*a^5*z^3 + 27*a^4*z^2 + 9*a^3*z + b^2 + a^2, z, k)*a^5*b^2 + 524288*a*b^5*exp(x) - 24379392*root(27*a^5*z^3 + 27*a^4*z^2 + 9*a^3*z + b^2 + a^2, z, k)^2*a^4*b^4 - 1383333888*root(27*a^5*z^3 + 27*a^4*z^2 + 9*a^3*z + b^2 + a^2, z, k)^2*a^6*b^2 - 18874368*root(27*a^5*z^3 + 27*a^4*z^2 + 9*a^3*z + b^2 + a^2, z, k)^3*a^5*b^4 - 1370750976*root(27*a^5*z^3 + 27*a^4*z^2 + 9*a^3*z + b^2 + a^2, z, k)^3*a^7*b^2 + 452984832*root(27*a^5*z^3 + 27*a^4*z^2 + 9*a^3*z + b^2 + a^2, z, k)*a^7*exp(2*x) + 5242880*a^3*b^3*exp(x) - 524288*root(27*a^5*z^3 + 27*a^4*z^2 + 9*a^3*z + b^2 + a^2, z, k)*a^2*b^5*exp(x) + 8912896*root(27*a^5*z^3 + 27*a^4*z^2 + 9*a^3*z + b^2 + a^2, z, k)*a^4*b^3*exp(x) + 7602176*root(27*a^5*z^3 + 27*a^4*z^2 + 9*a^3*z + b^2 + a^2, z, k)*a^3*b^4*exp(2*x) + 465305600*root(27*a^5*z^3 + 27*a^4*z^2 + 9*a^3*z + b^2 + a^2, z, k)*a^5*b^2*exp(2*x) - 14155776*root(27*a^5*z^3 + 27*a^4*z^2 + 9*a^3*z + b^2 + a^2, z, k)^3*a^6*b^3*exp(x) + 24379392*root(27*a^5*z^3 + 27*a^4*z^2 + 9*a^3*z + b^2 + a^2, z, k)^2*a^4*b^4*exp(2*x) + 1383333888*root(27*a^5*z^3 + 27*a^4*z^2 + 9*a^3*z + b^2 + a^2, z, k)^2*a^6*b^2*exp(2*x) + 18874368*root(27*a^5*z^3 + 27*a^4*z^2 + 9*a^3*z + b^2 + a^2, z, k)^3*a^5*b^4*exp(2*x) + 1370750976*root(27*a^5*z^3 + 27*a^4*z^2 + 9*a^3*z + b^2 + a^2, z, k)^3*a^7*b^2*exp(2*x))/(a^6*b^6))*root(27*a^5*z^3 + 27*a^4*z^2 + 9*a^3*z + b^2 + a^2, z, k), k, 1, 3) + log(3221225472*a^6*exp(2*x) + 786432*b^6*exp(2*x) - 3221225472*a^6 - 786432*b^6 - 101449728*a^2*b^4 - 3321888768*a^4*b^2 + 101449728*a^2*b^4*exp(2*x) + 3321888768*a^4*b^2*exp(2*x))/a","B"
522,0,-1,28,0.000000,"\text{Not used}","int(coth(x)/(a + b*sinh(x)^3)^(1/2),x)","\int \frac{\mathrm{coth}\left(x\right)}{\sqrt{b\,{\mathrm{sinh}\left(x\right)}^3+a}} \,d x","Not used",1,"int(coth(x)/(a + b*sinh(x)^3)^(1/2), x)","F"
523,0,-1,45,0.000000,"\text{Not used}","int(coth(x)*(a + b*sinh(x)^3)^(1/2),x)","\int \mathrm{coth}\left(x\right)\,\sqrt{b\,{\mathrm{sinh}\left(x\right)}^3+a} \,d x","Not used",1,"int(coth(x)*(a + b*sinh(x)^3)^(1/2), x)","F"
524,0,-1,29,0.000000,"\text{Not used}","int(coth(x)/(a + b*sinh(x)^n)^(1/2),x)","\int \frac{\mathrm{coth}\left(x\right)}{\sqrt{a+b\,{\mathrm{sinh}\left(x\right)}^n}} \,d x","Not used",1,"int(coth(x)/(a + b*sinh(x)^n)^(1/2), x)","F"
525,0,-1,47,0.000000,"\text{Not used}","int(coth(x)*(a + b*sinh(x)^n)^(1/2),x)","\int \mathrm{coth}\left(x\right)\,\sqrt{a+b\,{\mathrm{sinh}\left(x\right)}^n} \,d x","Not used",1,"int(coth(x)*(a + b*sinh(x)^n)^(1/2), x)","F"