1,1,25,20,0.943724,"\text{Not used}","int(sinh(x)^4/(a - a*cosh(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"
2,1,7,7,0.905156,"\text{Not used}","int(sinh(x)^3/(a - a*cosh(x)^2),x)","-\frac{\mathrm{cosh}\left(x\right)}{a}","Not used",1,"-cosh(x)/a","B"
3,1,6,6,0.026531,"\text{Not used}","int(sinh(x)^2/(a - a*cosh(x)^2),x)","-\frac{x}{a}","Not used",1,"-x/a","B"
4,1,21,19,0.907556,"\text{Not used}","int(1/(sinh(x)^2*(a - a*cosh(x)^2)),x)","\frac{4\,\left(3\,{\mathrm{e}}^{2\,x}-1\right)}{3\,a\,{\left({\mathrm{e}}^{2\,x}-1\right)}^3}","Not used",1,"(4*(3*exp(2*x) - 1))/(3*a*(exp(2*x) - 1)^3)","B"
5,1,27,29,0.918998,"\text{Not used}","int(1/(sinh(x)^4*(a - a*cosh(x)^2)),x)","\frac{16\,\left(10\,{\mathrm{e}}^{4\,x}-5\,{\mathrm{e}}^{2\,x}+1\right)}{15\,a\,{\left({\mathrm{e}}^{2\,x}-1\right)}^5}","Not used",1,"(16*(10*exp(4*x) - 5*exp(2*x) + 1))/(15*a*(exp(2*x) - 1)^5)","B"
6,1,805,78,1.546432,"\text{Not used}","int(sinh(x)^7/(a + b*cosh(x)^2),x)","\frac{{\mathrm{e}}^{-5\,x}}{160\,b}+\frac{{\mathrm{e}}^{5\,x}}{160\,b}+\frac{{\mathrm{e}}^{-x}\,\left(8\,a^2+22\,a\,b+19\,b^2\right)}{16\,b^3}-\frac{\left(2\,\mathrm{atan}\left(\frac{{\mathrm{e}}^x\,{\left(a+b\right)}^3\,\sqrt{a\,b^7}}{2\,a\,b^3\,\sqrt{{\left(a+b\right)}^6}}\right)-2\,\mathrm{atan}\left(\frac{2\,{\mathrm{e}}^{3\,x}\,\left(a^7\,\sqrt{a\,b^7}+b^7\,\sqrt{a\,b^7}+7\,a\,b^6\,\sqrt{a\,b^7}+7\,a^6\,b\,\sqrt{a\,b^7}+21\,a^2\,b^5\,\sqrt{a\,b^7}+35\,a^3\,b^4\,\sqrt{a\,b^7}+35\,a^4\,b^3\,\sqrt{a\,b^7}+21\,a^5\,b^2\,\sqrt{a\,b^7}\right)}{a\,b^3\,\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)}+\frac{a\,b^8\,{\mathrm{e}}^x\,\sqrt{a\,b^7}\,\left(\frac{4\,\left(2\,a\,b^7\,\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\,\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}+12\,a^3\,b^5\,\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\,\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\,\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}\,{\left(a+b\right)}^3}+\frac{2\,\left(a^7\,\sqrt{a\,b^7}+b^7\,\sqrt{a\,b^7}+7\,a\,b^6\,\sqrt{a\,b^7}+7\,a^6\,b\,\sqrt{a\,b^7}+21\,a^2\,b^5\,\sqrt{a\,b^7}+35\,a^3\,b^4\,\sqrt{a\,b^7}+35\,a^4\,b^3\,\sqrt{a\,b^7}+21\,a^5\,b^2\,\sqrt{a\,b^7}\right)}{a^2\,b^{11}\,\sqrt{a\,b^7}\,\sqrt{{\left(a+b\right)}^6}}\right)}{4\,a^4+16\,a^3\,b+24\,a^2\,b^2+16\,a\,b^3+4\,b^4}\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}}-\frac{{\mathrm{e}}^{-3\,x}\,\left(4\,a+9\,b\right)}{96\,b^2}-\frac{{\mathrm{e}}^{3\,x}\,\left(4\,a+9\,b\right)}{96\,b^2}+\frac{{\mathrm{e}}^x\,\left(8\,a^2+22\,a\,b+19\,b^2\right)}{16\,b^3}","Not used",1,"exp(-5*x)/(160*b) + exp(5*x)/(160*b) + (exp(-x)*(22*a*b + 8*a^2 + 19*b^2))/(16*b^3) - ((2*atan((exp(x)*(a + b)^3*(a*b^7)^(1/2))/(2*a*b^3*((a + b)^6)^(1/2))) - 2*atan((2*exp(3*x)*(a^7*(a*b^7)^(1/2) + b^7*(a*b^7)^(1/2) + 7*a*b^6*(a*b^7)^(1/2) + 7*a^6*b*(a*b^7)^(1/2) + 21*a^2*b^5*(a*b^7)^(1/2) + 35*a^3*b^4*(a*b^7)^(1/2) + 35*a^4*b^3*(a*b^7)^(1/2) + 21*a^5*b^2*(a*b^7)^(1/2)))/(a*b^3*((a + b)^6)^(1/2)*(16*a*b^3 + 16*a^3*b + 4*a^4 + 4*b^4 + 24*a^2*b^2)) + (a*b^8*exp(x)*(a*b^7)^(1/2)*((4*(2*a*b^7*(6*a*b^5 + 6*a^5*b + a^6 + b^6 + 15*a^2*b^4 + 20*a^3*b^3 + 15*a^4*b^2)^(1/2) + 8*a^2*b^6*(6*a*b^5 + 6*a^5*b + a^6 + b^6 + 15*a^2*b^4 + 20*a^3*b^3 + 15*a^4*b^2)^(1/2) + 12*a^3*b^5*(6*a*b^5 + 6*a^5*b + a^6 + b^6 + 15*a^2*b^4 + 20*a^3*b^3 + 15*a^4*b^2)^(1/2) + 8*a^4*b^4*(6*a*b^5 + 6*a^5*b + a^6 + b^6 + 15*a^2*b^4 + 20*a^3*b^3 + 15*a^4*b^2)^(1/2) + 2*a^5*b^3*(6*a*b^5 + 6*a^5*b + a^6 + b^6 + 15*a^2*b^4 + 20*a^3*b^3 + 15*a^4*b^2)^(1/2)))/(a^2*b^15*(a + b)^3) + (2*(a^7*(a*b^7)^(1/2) + b^7*(a*b^7)^(1/2) + 7*a*b^6*(a*b^7)^(1/2) + 7*a^6*b*(a*b^7)^(1/2) + 21*a^2*b^5*(a*b^7)^(1/2) + 35*a^3*b^4*(a*b^7)^(1/2) + 35*a^4*b^3*(a*b^7)^(1/2) + 21*a^5*b^2*(a*b^7)^(1/2)))/(a^2*b^11*(a*b^7)^(1/2)*((a + b)^6)^(1/2))))/(16*a*b^3 + 16*a^3*b + 4*a^4 + 4*b^4 + 24*a^2*b^2)))*(6*a*b^5 + 6*a^5*b + a^6 + b^6 + 15*a^2*b^4 + 20*a^3*b^3 + 15*a^4*b^2)^(1/2))/(2*(a*b^7)^(1/2)) - (exp(-3*x)*(4*a + 9*b))/(96*b^2) - (exp(3*x)*(4*a + 9*b))/(96*b^2) + (exp(x)*(22*a*b + 8*a^2 + 19*b^2))/(16*b^3)","B"
7,1,548,54,1.304213,"\text{Not used}","int(sinh(x)^5/(a + b*cosh(x)^2),x)","\frac{{\mathrm{e}}^{-3\,x}}{24\,b}+\frac{{\mathrm{e}}^{3\,x}}{24\,b}-\frac{{\mathrm{e}}^{-x}\,\left(4\,a+7\,b\right)}{8\,b^2}+\frac{\left(2\,\mathrm{atan}\left(\frac{{\mathrm{e}}^x\,{\left(a+b\right)}^2\,\sqrt{a\,b^5}}{2\,a\,b^2\,\sqrt{{\left(a+b\right)}^4}}\right)-2\,\mathrm{atan}\left(\frac{a\,b^6\,{\mathrm{e}}^x\,\left(\frac{4\,\left(6\,a^2\,b^4\,\sqrt{a^4+4\,a^3\,b+6\,a^2\,b^2+4\,a\,b^3+b^4}+6\,a^3\,b^3\,\sqrt{a^4+4\,a^3\,b+6\,a^2\,b^2+4\,a\,b^3+b^4}+2\,a^4\,b^2\,\sqrt{a^4+4\,a^3\,b+6\,a^2\,b^2+4\,a\,b^3+b^4}+2\,a\,b^5\,\sqrt{a^4+4\,a^3\,b+6\,a^2\,b^2+4\,a\,b^3+b^4}\right)}{a^2\,b^{11}\,{\left(a+b\right)}^2}+\frac{2\,\left(a^5\,\sqrt{a\,b^5}+b^5\,\sqrt{a\,b^5}+5\,a\,b^4\,\sqrt{a\,b^5}+5\,a^4\,b\,\sqrt{a\,b^5}+10\,a^2\,b^3\,\sqrt{a\,b^5}+10\,a^3\,b^2\,\sqrt{a\,b^5}\right)}{a^2\,b^8\,\sqrt{a\,b^5}\,\sqrt{{\left(a+b\right)}^4}}\right)\,\sqrt{a\,b^5}}{4\,a^3+12\,a^2\,b+12\,a\,b^2+4\,b^3}+\frac{2\,{\mathrm{e}}^{3\,x}\,\left(a^5\,\sqrt{a\,b^5}+b^5\,\sqrt{a\,b^5}+5\,a\,b^4\,\sqrt{a\,b^5}+5\,a^4\,b\,\sqrt{a\,b^5}+10\,a^2\,b^3\,\sqrt{a\,b^5}+10\,a^3\,b^2\,\sqrt{a\,b^5}\right)}{a\,b^2\,\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}}-\frac{{\mathrm{e}}^x\,\left(4\,a+7\,b\right)}{8\,b^2}","Not used",1,"exp(-3*x)/(24*b) + exp(3*x)/(24*b) - (exp(-x)*(4*a + 7*b))/(8*b^2) + ((2*atan((exp(x)*(a + b)^2*(a*b^5)^(1/2))/(2*a*b^2*((a + b)^4)^(1/2))) - 2*atan((a*b^6*exp(x)*((4*(6*a^2*b^4*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2)^(1/2) + 6*a^3*b^3*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2)^(1/2) + 2*a^4*b^2*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2)^(1/2) + 2*a*b^5*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2)^(1/2)))/(a^2*b^11*(a + b)^2) + (2*(a^5*(a*b^5)^(1/2) + b^5*(a*b^5)^(1/2) + 5*a*b^4*(a*b^5)^(1/2) + 5*a^4*b*(a*b^5)^(1/2) + 10*a^2*b^3*(a*b^5)^(1/2) + 10*a^3*b^2*(a*b^5)^(1/2)))/(a^2*b^8*(a*b^5)^(1/2)*((a + b)^4)^(1/2)))*(a*b^5)^(1/2))/(12*a*b^2 + 12*a^2*b + 4*a^3 + 4*b^3) + (2*exp(3*x)*(a^5*(a*b^5)^(1/2) + b^5*(a*b^5)^(1/2) + 5*a*b^4*(a*b^5)^(1/2) + 5*a^4*b*(a*b^5)^(1/2) + 10*a^2*b^3*(a*b^5)^(1/2) + 10*a^3*b^2*(a*b^5)^(1/2)))/(a*b^2*((a + b)^4)^(1/2)*(12*a*b^2 + 12*a^2*b + 4*a^3 + 4*b^3))))*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2)^(1/2))/(2*(a*b^5)^(1/2)) - (exp(x)*(4*a + 7*b))/(8*b^2)","B"
8,1,257,36,1.366197,"\text{Not used}","int(sinh(x)^3/(a + b*cosh(x)^2),x)","\frac{{\mathrm{e}}^{-x}}{2\,b}+\frac{{\mathrm{e}}^x}{2\,b}+\frac{\left(2\,\mathrm{atan}\left(\frac{{\mathrm{e}}^{3\,x}\,\left(a^3\,\sqrt{a\,b^3}+b^3\,\sqrt{a\,b^3}+3\,a\,b^2\,\sqrt{a\,b^3}+3\,a^2\,b\,\sqrt{a\,b^3}\right)}{2\,a\,b\,{\left({\left(a+b\right)}^2\right)}^{3/2}}+\frac{a\,b^4\,{\mathrm{e}}^x\,\sqrt{a\,b^3}\,\left(\frac{8\,{\left(a^2+2\,a\,b+b^2\right)}^{3/2}}{a\,b^6\,{\left(a+b\right)}^3}+\frac{2\,\left(a^3\,\sqrt{a\,b^3}+b^3\,\sqrt{a\,b^3}+3\,a\,b^2\,\sqrt{a\,b^3}+3\,a^2\,b\,\sqrt{a\,b^3}\right)}{a^2\,b^5\,\sqrt{a\,b^3}\,{\left({\left(a+b\right)}^2\right)}^{3/2}}\right)}{4}\right)-2\,\mathrm{atan}\left(\frac{{\mathrm{e}}^x\,{\left(a+b\right)}^3\,\sqrt{a\,b^3}}{2\,a\,b\,{\left({\left(a+b\right)}^2\right)}^{3/2}}\right)\right)\,\sqrt{a^2+2\,a\,b+b^2}}{2\,\sqrt{a\,b^3}}","Not used",1,"exp(-x)/(2*b) + exp(x)/(2*b) + ((2*atan((exp(3*x)*(a^3*(a*b^3)^(1/2) + b^3*(a*b^3)^(1/2) + 3*a*b^2*(a*b^3)^(1/2) + 3*a^2*b*(a*b^3)^(1/2)))/(2*a*b*((a + b)^2)^(3/2)) + (a*b^4*exp(x)*(a*b^3)^(1/2)*((8*(2*a*b + a^2 + b^2)^(3/2))/(a*b^6*(a + b)^3) + (2*(a^3*(a*b^3)^(1/2) + b^3*(a*b^3)^(1/2) + 3*a*b^2*(a*b^3)^(1/2) + 3*a^2*b*(a*b^3)^(1/2)))/(a^2*b^5*(a*b^3)^(1/2)*((a + b)^2)^(3/2))))/4) - 2*atan((exp(x)*(a + b)^3*(a*b^3)^(1/2))/(2*a*b*((a + b)^2)^(3/2))))*(2*a*b + a^2 + b^2)^(1/2))/(2*(a*b^3)^(1/2))","B"
9,1,16,25,0.971218,"\text{Not used}","int(sinh(x)/(a + b*cosh(x)^2),x)","\frac{\mathrm{atan}\left(\frac{b\,\mathrm{cosh}\left(x\right)}{\sqrt{a\,b}}\right)}{\sqrt{a\,b}}","Not used",1,"atan((b*cosh(x))/(a*b)^(1/2))/(a*b)^(1/2)","B"
10,1,462,42,1.389245,"\text{Not used}","int(1/(sinh(x)*(a + b*cosh(x)^2)),x)","-\frac{2\,\mathrm{atan}\left(\frac{{\mathrm{e}}^x\,\left(16\,a^2\,\sqrt{-a^2-2\,a\,b-b^2}+b^2\,\sqrt{-a^2-2\,a\,b-b^2}+8\,a\,b\,\sqrt{-a^2-2\,a\,b-b^2}\right)}{16\,a^3+24\,a^2\,b+9\,a\,b^2+b^3}\right)}{\sqrt{-a^2-2\,a\,b-b^2}}-\frac{\sqrt{b}\,\left(2\,\mathrm{atan}\left(\frac{\sqrt{b}\,{\mathrm{e}}^x\,\sqrt{a\,{\left(a+b\right)}^2}}{2\,a\,\left(a+b\right)}\right)-2\,\mathrm{atan}\left(\frac{\left(a^3\,b^{5/2}\,\sqrt{a^3+2\,a^2\,b+a\,b^2}+a^2\,b^{7/2}\,\sqrt{a^3+2\,a^2\,b+a\,b^2}\right)\,\left({\mathrm{e}}^x\,\left(\frac{64\,\left(8\,a^3+10\,a^2\,b+2\,a\,b^2\right)}{a\,b^3\,\sqrt{a\,{\left(a+b\right)}^2}\,\left(a^2+b\,a\right)\,\sqrt{a^3+2\,a^2\,b+a\,b^2}}+\frac{32\,\left(b^{3/2}\,\sqrt{a^3+2\,a^2\,b+a\,b^2}+4\,a\,\sqrt{b}\,\sqrt{a^3+2\,a^2\,b+a\,b^2}\right)}{a^2\,b^{5/2}\,\left(a+b\right)\,\left(a^2+b\,a\right)\,\sqrt{a^3+2\,a^2\,b+a\,b^2}}\right)+\frac{32\,{\mathrm{e}}^{3\,x}\,\left(b^{3/2}\,\sqrt{a^3+2\,a^2\,b+a\,b^2}+4\,a\,\sqrt{b}\,\sqrt{a^3+2\,a^2\,b+a\,b^2}\right)}{a^2\,b^{5/2}\,\left(a+b\right)\,\left(a^2+b\,a\right)\,\sqrt{a^3+2\,a^2\,b+a\,b^2}}\right)}{256\,a+64\,b}\right)\right)}{2\,\sqrt{a^3+2\,a^2\,b+a\,b^2}}","Not used",1,"- (2*atan((exp(x)*(16*a^2*(- 2*a*b - a^2 - b^2)^(1/2) + b^2*(- 2*a*b - a^2 - b^2)^(1/2) + 8*a*b*(- 2*a*b - a^2 - b^2)^(1/2)))/(9*a*b^2 + 24*a^2*b + 16*a^3 + b^3)))/(- 2*a*b - a^2 - b^2)^(1/2) - (b^(1/2)*(2*atan((b^(1/2)*exp(x)*(a*(a + b)^2)^(1/2))/(2*a*(a + b))) - 2*atan(((a^3*b^(5/2)*(a*b^2 + 2*a^2*b + a^3)^(1/2) + a^2*b^(7/2)*(a*b^2 + 2*a^2*b + a^3)^(1/2))*(exp(x)*((64*(2*a*b^2 + 10*a^2*b + 8*a^3))/(a*b^3*(a*(a + b)^2)^(1/2)*(a*b + a^2)*(a*b^2 + 2*a^2*b + a^3)^(1/2)) + (32*(b^(3/2)*(a*b^2 + 2*a^2*b + a^3)^(1/2) + 4*a*b^(1/2)*(a*b^2 + 2*a^2*b + a^3)^(1/2)))/(a^2*b^(5/2)*(a + b)*(a*b + a^2)*(a*b^2 + 2*a^2*b + a^3)^(1/2))) + (32*exp(3*x)*(b^(3/2)*(a*b^2 + 2*a^2*b + a^3)^(1/2) + 4*a*b^(1/2)*(a*b^2 + 2*a^2*b + a^3)^(1/2)))/(a^2*b^(5/2)*(a + b)*(a*b + a^2)*(a*b^2 + 2*a^2*b + a^3)^(1/2))))/(256*a + 64*b))))/(2*(a*b^2 + 2*a^2*b + a^3)^(1/2))","B"
11,1,2225,61,6.893912,"\text{Not used}","int(1/(sinh(x)^3*(a + b*cosh(x)^2)),x)","\frac{\left(2\,\mathrm{atan}\left(\frac{b^2\,{\mathrm{e}}^x\,\sqrt{a\,{\left(a+b\right)}^4}}{2\,a\,{\left(a+b\right)}^2\,\sqrt{b^3}}\right)-2\,\mathrm{atan}\left(\left({\mathrm{e}}^x\,\left(\frac{32\,\left(b^8\,\sqrt{a^5+4\,a^4\,b+6\,a^3\,b^2+4\,a^2\,b^3+a\,b^4}+36\,a^2\,b^6\,\sqrt{a^5+4\,a^4\,b+6\,a^3\,b^2+4\,a^2\,b^3+a\,b^4}+47\,a^3\,b^5\,\sqrt{a^5+4\,a^4\,b+6\,a^3\,b^2+4\,a^2\,b^3+a\,b^4}+30\,a^4\,b^4\,\sqrt{a^5+4\,a^4\,b+6\,a^3\,b^2+4\,a^2\,b^3+a\,b^4}+9\,a^5\,b^3\,\sqrt{a^5+4\,a^4\,b+6\,a^3\,b^2+4\,a^2\,b^3+a\,b^4}+a^6\,b^2\,\sqrt{a^5+4\,a^4\,b+6\,a^3\,b^2+4\,a^2\,b^3+a\,b^4}+12\,a\,b^7\,\sqrt{a^5+4\,a^4\,b+6\,a^3\,b^2+4\,a^2\,b^3+a\,b^4}\right)}{a^2\,b^2\,{\left(a+b\right)}^7\,\left(a^2+b\,a\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+4\,a^4\,b+6\,a^3\,b^2+4\,a^2\,b^3+a\,b^4}}+\frac{64\,\left(20\,a^3\,{\left(b^3\right)}^{5/2}+232\,a^6\,{\left(b^3\right)}^{3/2}+2\,a^9\,\sqrt{b^3}+10\,a^2\,b^4\,{\left(b^3\right)}^{3/2}+20\,a^4\,b^2\,{\left(b^3\right)}^{3/2}+18\,a^2\,b^7\,\sqrt{b^3}+102\,a^3\,b^6\,\sqrt{b^3}+242\,a^4\,b^5\,\sqrt{b^3}+310\,a^5\,b^4\,\sqrt{b^3}+98\,a^7\,b^2\,\sqrt{b^3}+2\,a\,b^5\,{\left(b^3\right)}^{3/2}+10\,a^5\,b\,{\left(b^3\right)}^{3/2}+22\,a^8\,b\,\sqrt{b^3}\right)}{a\,b^4\,{\left(a+b\right)}^5\,\left(a^2+b\,a\right)\,\sqrt{a\,{\left(a+b\right)}^4}\,\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+4\,a^4\,b+6\,a^3\,b^2+4\,a^2\,b^3+a\,b^4}}\right)+\frac{32\,{\mathrm{e}}^{3\,x}\,\left(b^8\,\sqrt{a^5+4\,a^4\,b+6\,a^3\,b^2+4\,a^2\,b^3+a\,b^4}+36\,a^2\,b^6\,\sqrt{a^5+4\,a^4\,b+6\,a^3\,b^2+4\,a^2\,b^3+a\,b^4}+47\,a^3\,b^5\,\sqrt{a^5+4\,a^4\,b+6\,a^3\,b^2+4\,a^2\,b^3+a\,b^4}+30\,a^4\,b^4\,\sqrt{a^5+4\,a^4\,b+6\,a^3\,b^2+4\,a^2\,b^3+a\,b^4}+9\,a^5\,b^3\,\sqrt{a^5+4\,a^4\,b+6\,a^3\,b^2+4\,a^2\,b^3+a\,b^4}+a^6\,b^2\,\sqrt{a^5+4\,a^4\,b+6\,a^3\,b^2+4\,a^2\,b^3+a\,b^4}+12\,a\,b^7\,\sqrt{a^5+4\,a^4\,b+6\,a^3\,b^2+4\,a^2\,b^3+a\,b^4}\right)}{a^2\,b^2\,{\left(a+b\right)}^7\,\left(a^2+b\,a\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+4\,a^4\,b+6\,a^3\,b^2+4\,a^2\,b^3+a\,b^4}}\right)\,\left(\frac{a^2\,b^{10}\,\sqrt{a^5+4\,a^4\,b+6\,a^3\,b^2+4\,a^2\,b^3+a\,b^4}}{64}+\frac{a^3\,b^9\,\sqrt{a^5+4\,a^4\,b+6\,a^3\,b^2+4\,a^2\,b^3+a\,b^4}}{8}+\frac{7\,a^4\,b^8\,\sqrt{a^5+4\,a^4\,b+6\,a^3\,b^2+4\,a^2\,b^3+a\,b^4}}{16}+\frac{7\,a^5\,b^7\,\sqrt{a^5+4\,a^4\,b+6\,a^3\,b^2+4\,a^2\,b^3+a\,b^4}}{8}+\frac{35\,a^6\,b^6\,\sqrt{a^5+4\,a^4\,b+6\,a^3\,b^2+4\,a^2\,b^3+a\,b^4}}{32}+\frac{7\,a^7\,b^5\,\sqrt{a^5+4\,a^4\,b+6\,a^3\,b^2+4\,a^2\,b^3+a\,b^4}}{8}+\frac{7\,a^8\,b^4\,\sqrt{a^5+4\,a^4\,b+6\,a^3\,b^2+4\,a^2\,b^3+a\,b^4}}{16}+\frac{a^9\,b^3\,\sqrt{a^5+4\,a^4\,b+6\,a^3\,b^2+4\,a^2\,b^3+a\,b^4}}{8}+\frac{a^{10}\,b^2\,\sqrt{a^5+4\,a^4\,b+6\,a^3\,b^2+4\,a^2\,b^3+a\,b^4}}{64}\right)\right)\right)\,\sqrt{b^3}}{2\,\sqrt{a^5+4\,a^4\,b+6\,a^3\,b^2+4\,a^2\,b^3+a\,b^4}}-\frac{2\,{\mathrm{e}}^x}{\left(a+b\right)\,\left({\mathrm{e}}^{4\,x}-2\,{\mathrm{e}}^{2\,x}+1\right)}-\frac{{\mathrm{e}}^x}{\left(a+b\right)\,\left({\mathrm{e}}^{2\,x}-1\right)}-\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^x\,\left(a^7\,{\left(-a^4-4\,a^3\,b-6\,a^2\,b^2-4\,a\,b^3-b^4\right)}^{3/2}+3\,b^7\,{\left(-a^4-4\,a^3\,b-6\,a^2\,b^2-4\,a\,b^3-b^4\right)}^{3/2}+55\,a\,b^6\,{\left(-a^4-4\,a^3\,b-6\,a^2\,b^2-4\,a\,b^3-b^4\right)}^{3/2}+15\,a^6\,b\,{\left(-a^4-4\,a^3\,b-6\,a^2\,b^2-4\,a\,b^3-b^4\right)}^{3/2}+297\,a^2\,b^5\,{\left(-a^4-4\,a^3\,b-6\,a^2\,b^2-4\,a\,b^3-b^4\right)}^{3/2}+423\,a^3\,b^4\,{\left(-a^4-4\,a^3\,b-6\,a^2\,b^2-4\,a\,b^3-b^4\right)}^{3/2}+272\,a^4\,b^3\,{\left(-a^4-4\,a^3\,b-6\,a^2\,b^2-4\,a\,b^3-b^4\right)}^{3/2}+90\,a^5\,b^2\,{\left(-a^4-4\,a^3\,b-6\,a^2\,b^2-4\,a\,b^3-b^4\right)}^{3/2}\right)}{a^{12}\,\sqrt{a^2+6\,a\,b+9\,b^2}+b^{12}\,\sqrt{a^2+6\,a\,b+9\,b^2}+24\,a\,b^{11}\,\sqrt{a^2+6\,a\,b+9\,b^2}+18\,a^{11}\,b\,\sqrt{a^2+6\,a\,b+9\,b^2}+216\,a^2\,b^{10}\,\sqrt{a^2+6\,a\,b+9\,b^2}+958\,a^3\,b^9\,\sqrt{a^2+6\,a\,b+9\,b^2}+2484\,a^4\,b^8\,\sqrt{a^2+6\,a\,b+9\,b^2}+4122\,a^5\,b^7\,\sqrt{a^2+6\,a\,b+9\,b^2}+4587\,a^6\,b^6\,\sqrt{a^2+6\,a\,b+9\,b^2}+3492\,a^7\,b^5\,\sqrt{a^2+6\,a\,b+9\,b^2}+1818\,a^8\,b^4\,\sqrt{a^2+6\,a\,b+9\,b^2}+634\,a^9\,b^3\,\sqrt{a^2+6\,a\,b+9\,b^2}+141\,a^{10}\,b^2\,\sqrt{a^2+6\,a\,b+9\,b^2}}\right)\,\sqrt{a^2+6\,a\,b+9\,b^2}}{\sqrt{-a^4-4\,a^3\,b-6\,a^2\,b^2-4\,a\,b^3-b^4}}","Not used",1,"((2*atan((b^2*exp(x)*(a*(a + b)^4)^(1/2))/(2*a*(a + b)^2*(b^3)^(1/2))) - 2*atan((exp(x)*((32*(b^8*(a*b^4 + 4*a^4*b + a^5 + 4*a^2*b^3 + 6*a^3*b^2)^(1/2) + 36*a^2*b^6*(a*b^4 + 4*a^4*b + a^5 + 4*a^2*b^3 + 6*a^3*b^2)^(1/2) + 47*a^3*b^5*(a*b^4 + 4*a^4*b + a^5 + 4*a^2*b^3 + 6*a^3*b^2)^(1/2) + 30*a^4*b^4*(a*b^4 + 4*a^4*b + a^5 + 4*a^2*b^3 + 6*a^3*b^2)^(1/2) + 9*a^5*b^3*(a*b^4 + 4*a^4*b + a^5 + 4*a^2*b^3 + 6*a^3*b^2)^(1/2) + a^6*b^2*(a*b^4 + 4*a^4*b + a^5 + 4*a^2*b^3 + 6*a^3*b^2)^(1/2) + 12*a*b^7*(a*b^4 + 4*a^4*b + a^5 + 4*a^2*b^3 + 6*a^3*b^2)^(1/2)))/(a^2*b^2*(a + b)^7*(a*b + a^2)*(b^3)^(1/2)*(2*a*b + a^2 + 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*b^4 + 4*a^4*b + a^5 + 4*a^2*b^3 + 6*a^3*b^2)^(1/2)) + (64*(20*a^3*(b^3)^(5/2) + 232*a^6*(b^3)^(3/2) + 2*a^9*(b^3)^(1/2) + 10*a^2*b^4*(b^3)^(3/2) + 20*a^4*b^2*(b^3)^(3/2) + 18*a^2*b^7*(b^3)^(1/2) + 102*a^3*b^6*(b^3)^(1/2) + 242*a^4*b^5*(b^3)^(1/2) + 310*a^5*b^4*(b^3)^(1/2) + 98*a^7*b^2*(b^3)^(1/2) + 2*a*b^5*(b^3)^(3/2) + 10*a^5*b*(b^3)^(3/2) + 22*a^8*b*(b^3)^(1/2)))/(a*b^4*(a + b)^5*(a*b + a^2)*(a*(a + b)^4)^(1/2)*(2*a*b + a^2 + 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*b^4 + 4*a^4*b + a^5 + 4*a^2*b^3 + 6*a^3*b^2)^(1/2))) + (32*exp(3*x)*(b^8*(a*b^4 + 4*a^4*b + a^5 + 4*a^2*b^3 + 6*a^3*b^2)^(1/2) + 36*a^2*b^6*(a*b^4 + 4*a^4*b + a^5 + 4*a^2*b^3 + 6*a^3*b^2)^(1/2) + 47*a^3*b^5*(a*b^4 + 4*a^4*b + a^5 + 4*a^2*b^3 + 6*a^3*b^2)^(1/2) + 30*a^4*b^4*(a*b^4 + 4*a^4*b + a^5 + 4*a^2*b^3 + 6*a^3*b^2)^(1/2) + 9*a^5*b^3*(a*b^4 + 4*a^4*b + a^5 + 4*a^2*b^3 + 6*a^3*b^2)^(1/2) + a^6*b^2*(a*b^4 + 4*a^4*b + a^5 + 4*a^2*b^3 + 6*a^3*b^2)^(1/2) + 12*a*b^7*(a*b^4 + 4*a^4*b + a^5 + 4*a^2*b^3 + 6*a^3*b^2)^(1/2)))/(a^2*b^2*(a + b)^7*(a*b + a^2)*(b^3)^(1/2)*(2*a*b + a^2 + 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*b^4 + 4*a^4*b + a^5 + 4*a^2*b^3 + 6*a^3*b^2)^(1/2)))*((a^2*b^10*(a*b^4 + 4*a^4*b + a^5 + 4*a^2*b^3 + 6*a^3*b^2)^(1/2))/64 + (a^3*b^9*(a*b^4 + 4*a^4*b + a^5 + 4*a^2*b^3 + 6*a^3*b^2)^(1/2))/8 + (7*a^4*b^8*(a*b^4 + 4*a^4*b + a^5 + 4*a^2*b^3 + 6*a^3*b^2)^(1/2))/16 + (7*a^5*b^7*(a*b^4 + 4*a^4*b + a^5 + 4*a^2*b^3 + 6*a^3*b^2)^(1/2))/8 + (35*a^6*b^6*(a*b^4 + 4*a^4*b + a^5 + 4*a^2*b^3 + 6*a^3*b^2)^(1/2))/32 + (7*a^7*b^5*(a*b^4 + 4*a^4*b + a^5 + 4*a^2*b^3 + 6*a^3*b^2)^(1/2))/8 + (7*a^8*b^4*(a*b^4 + 4*a^4*b + a^5 + 4*a^2*b^3 + 6*a^3*b^2)^(1/2))/16 + (a^9*b^3*(a*b^4 + 4*a^4*b + a^5 + 4*a^2*b^3 + 6*a^3*b^2)^(1/2))/8 + (a^10*b^2*(a*b^4 + 4*a^4*b + a^5 + 4*a^2*b^3 + 6*a^3*b^2)^(1/2))/64)))*(b^3)^(1/2))/(2*(a*b^4 + 4*a^4*b + a^5 + 4*a^2*b^3 + 6*a^3*b^2)^(1/2)) - (2*exp(x))/((a + b)*(exp(4*x) - 2*exp(2*x) + 1)) - exp(x)/((a + b)*(exp(2*x) - 1)) - (atan((exp(x)*(a^7*(- 4*a*b^3 - 4*a^3*b - a^4 - b^4 - 6*a^2*b^2)^(3/2) + 3*b^7*(- 4*a*b^3 - 4*a^3*b - a^4 - b^4 - 6*a^2*b^2)^(3/2) + 55*a*b^6*(- 4*a*b^3 - 4*a^3*b - a^4 - b^4 - 6*a^2*b^2)^(3/2) + 15*a^6*b*(- 4*a*b^3 - 4*a^3*b - a^4 - b^4 - 6*a^2*b^2)^(3/2) + 297*a^2*b^5*(- 4*a*b^3 - 4*a^3*b - a^4 - b^4 - 6*a^2*b^2)^(3/2) + 423*a^3*b^4*(- 4*a*b^3 - 4*a^3*b - a^4 - b^4 - 6*a^2*b^2)^(3/2) + 272*a^4*b^3*(- 4*a*b^3 - 4*a^3*b - a^4 - b^4 - 6*a^2*b^2)^(3/2) + 90*a^5*b^2*(- 4*a*b^3 - 4*a^3*b - a^4 - b^4 - 6*a^2*b^2)^(3/2)))/(a^12*(6*a*b + a^2 + 9*b^2)^(1/2) + b^12*(6*a*b + a^2 + 9*b^2)^(1/2) + 24*a*b^11*(6*a*b + a^2 + 9*b^2)^(1/2) + 18*a^11*b*(6*a*b + a^2 + 9*b^2)^(1/2) + 216*a^2*b^10*(6*a*b + a^2 + 9*b^2)^(1/2) + 958*a^3*b^9*(6*a*b + a^2 + 9*b^2)^(1/2) + 2484*a^4*b^8*(6*a*b + a^2 + 9*b^2)^(1/2) + 4122*a^5*b^7*(6*a*b + a^2 + 9*b^2)^(1/2) + 4587*a^6*b^6*(6*a*b + a^2 + 9*b^2)^(1/2) + 3492*a^7*b^5*(6*a*b + a^2 + 9*b^2)^(1/2) + 1818*a^8*b^4*(6*a*b + a^2 + 9*b^2)^(1/2) + 634*a^9*b^3*(6*a*b + a^2 + 9*b^2)^(1/2) + 141*a^10*b^2*(6*a*b + a^2 + 9*b^2)^(1/2)))*(6*a*b + a^2 + 9*b^2)^(1/2))/(- 4*a*b^3 - 4*a^3*b - a^4 - b^4 - 6*a^2*b^2)^(1/2)","B"
12,1,5056,94,14.740573,"\text{Not used}","int(1/(sinh(x)^5*(a + b*cosh(x)^2)),x)","\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^x\,\left(243\,a^{12}\,{\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)}^{3/2}+3840\,b^{12}\,{\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)}^{3/2}+110560\,a\,b^{11}\,{\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)}^{3/2}+4050\,a^{11}\,b\,{\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)}^{3/2}+976143\,a^2\,b^{10}\,{\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)}^{3/2}+2740050\,a^3\,b^9\,{\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)}^{3/2}+4252775\,a^4\,b^8\,{\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)}^{3/2}+4316760\,a^5\,b^7\,{\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)}^{3/2}+3087390\,a^6\,b^6\,{\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)}^{3/2}+1608364\,a^7\,b^5\,{\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)}^{3/2}+615750\,a^8\,b^4\,{\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)}^{3/2}+171000\,a^9\,b^3\,{\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)}^{3/2}+33075\,a^{10}\,b^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)}^{3/2}\right)}{81\,a^{19}\,\sqrt{9\,a^4+60\,a^3\,b+190\,a^2\,b^2+300\,a\,b^3+225\,b^4}+256\,b^{19}\,\sqrt{9\,a^4+60\,a^3\,b+190\,a^2\,b^2+300\,a\,b^3+225\,b^4}+9504\,a\,b^{18}\,\sqrt{9\,a^4+60\,a^3\,b+190\,a^2\,b^2+300\,a\,b^3+225\,b^4}+1809\,a^{18}\,b\,\sqrt{9\,a^4+60\,a^3\,b+190\,a^2\,b^2+300\,a\,b^3+225\,b^4}+134241\,a^2\,b^{17}\,\sqrt{9\,a^4+60\,a^3\,b+190\,a^2\,b^2+300\,a\,b^3+225\,b^4}+963809\,a^3\,b^{16}\,\sqrt{9\,a^4+60\,a^3\,b+190\,a^2\,b^2+300\,a\,b^3+225\,b^4}+4252296\,a^4\,b^{15}\,\sqrt{9\,a^4+60\,a^3\,b+190\,a^2\,b^2+300\,a\,b^3+225\,b^4}+12815304\,a^5\,b^{14}\,\sqrt{9\,a^4+60\,a^3\,b+190\,a^2\,b^2+300\,a\,b^3+225\,b^4}+28102636\,a^6\,b^{13}\,\sqrt{9\,a^4+60\,a^3\,b+190\,a^2\,b^2+300\,a\,b^3+225\,b^4}+46681644\,a^7\,b^{12}\,\sqrt{9\,a^4+60\,a^3\,b+190\,a^2\,b^2+300\,a\,b^3+225\,b^4}+60321816\,a^8\,b^{11}\,\sqrt{9\,a^4+60\,a^3\,b+190\,a^2\,b^2+300\,a\,b^3+225\,b^4}+61717144\,a^9\,b^{10}\,\sqrt{9\,a^4+60\,a^3\,b+190\,a^2\,b^2+300\,a\,b^3+225\,b^4}+50559894\,a^{10}\,b^9\,\sqrt{9\,a^4+60\,a^3\,b+190\,a^2\,b^2+300\,a\,b^3+225\,b^4}+33362646\,a^{11}\,b^8\,\sqrt{9\,a^4+60\,a^3\,b+190\,a^2\,b^2+300\,a\,b^3+225\,b^4}+17752184\,a^{12}\,b^7\,\sqrt{9\,a^4+60\,a^3\,b+190\,a^2\,b^2+300\,a\,b^3+225\,b^4}+7586616\,a^{13}\,b^6\,\sqrt{9\,a^4+60\,a^3\,b+190\,a^2\,b^2+300\,a\,b^3+225\,b^4}+2577804\,a^{14}\,b^5\,\sqrt{9\,a^4+60\,a^3\,b+190\,a^2\,b^2+300\,a\,b^3+225\,b^4}+683596\,a^{15}\,b^4\,\sqrt{9\,a^4+60\,a^3\,b+190\,a^2\,b^2+300\,a\,b^3+225\,b^4}+137064\,a^{16}\,b^3\,\sqrt{9\,a^4+60\,a^3\,b+190\,a^2\,b^2+300\,a\,b^3+225\,b^4}+19656\,a^{17}\,b^2\,\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^6-6\,a^5\,b-15\,a^4\,b^2-20\,a^3\,b^3-15\,a^2\,b^4-6\,a\,b^5-b^6}}-\frac{4\,{\mathrm{e}}^x}{\left(a+b\right)\,\left(6\,{\mathrm{e}}^{4\,x}-4\,{\mathrm{e}}^{2\,x}-4\,{\mathrm{e}}^{6\,x}+{\mathrm{e}}^{8\,x}+1\right)}-\frac{\sqrt{b^5}\,\left(2\,\mathrm{atan}\left(\frac{b^3\,{\mathrm{e}}^x\,\sqrt{a\,{\left(a+b\right)}^6}}{2\,a\,{\left(a+b\right)}^3\,\sqrt{b^5}}\right)-2\,\mathrm{atan}\left(\left({\mathrm{e}}^x\,\left(\frac{2\,\left(16\,b^{14}\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}+321\,a\,b^{13}\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}+1890\,a^2\,b^{12}\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}+5685\,a^3\,b^{11}\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}+10440\,a^4\,b^{10}\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}+12690\,a^5\,b^9\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}+10620\,a^6\,b^8\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}+6210\,a^7\,b^7\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}+2520\,a^8\,b^6\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}+685\,a^9\,b^5\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}+114\,a^{10}\,b^4\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}+9\,a^{11}\,b^3\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}\right)}{a^2\,b\,{\left(a+b\right)}^{10}\,\left(a^2+b\,a\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)\,\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)\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}}+\frac{4\,\left(4032\,a^5\,{\left(b^5\right)}^{5/2}+74990\,a^{10}\,{\left(b^5\right)}^{3/2}+18\,a^{15}\,\sqrt{b^5}+288\,a^2\,b^8\,{\left(b^5\right)}^{3/2}+1152\,a^3\,b^7\,{\left(b^5\right)}^{3/2}+2688\,a^4\,b^6\,{\left(b^5\right)}^{3/2}+4032\,a^6\,b^4\,{\left(b^5\right)}^{3/2}+2688\,a^7\,b^3\,{\left(b^5\right)}^{3/2}+1152\,a^8\,b^2\,{\left(b^5\right)}^{3/2}+450\,a^2\,b^{13}\,\sqrt{b^5}+4650\,a^3\,b^{12}\,\sqrt{b^5}+21980\,a^4\,b^{11}\,\sqrt{b^5}+62940\,a^5\,b^{10}\,\sqrt{b^5}+121878\,a^6\,b^9\,\sqrt{b^5}+168702\,a^7\,b^8\,\sqrt{b^5}+172008\,a^8\,b^7\,\sqrt{b^5}+131112\,a^9\,b^6\,\sqrt{b^5}+31878\,a^{11}\,b^4\,\sqrt{b^5}+9852\,a^{12}\,b^3\,\sqrt{b^5}+2108\,a^{13}\,b^2\,\sqrt{b^5}+32\,a\,b^9\,{\left(b^5\right)}^{3/2}+288\,a^9\,b\,{\left(b^5\right)}^{3/2}+282\,a^{14}\,b\,\sqrt{b^5}\right)}{a\,b^4\,{\left(a+b\right)}^7\,\left(a^2+b\,a\right)\,\sqrt{a\,{\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)\,\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)\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}}\right)+\frac{2\,{\mathrm{e}}^{3\,x}\,\left(16\,b^{14}\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}+321\,a\,b^{13}\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}+1890\,a^2\,b^{12}\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}+5685\,a^3\,b^{11}\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}+10440\,a^4\,b^{10}\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}+12690\,a^5\,b^9\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}+10620\,a^6\,b^8\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}+6210\,a^7\,b^7\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}+2520\,a^8\,b^6\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}+685\,a^9\,b^5\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}+114\,a^{10}\,b^4\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}+9\,a^{11}\,b^3\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}\right)}{a^2\,b\,{\left(a+b\right)}^{10}\,\left(a^2+b\,a\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)\,\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)\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}}\right)\,\left(\frac{a^{17}\,b\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}}{4}+\frac{a^2\,b^{16}\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}}{4}+\frac{15\,a^3\,b^{15}\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}}{4}+\frac{105\,a^4\,b^{14}\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}}{4}+\frac{455\,a^5\,b^{13}\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}}{4}+\frac{1365\,a^6\,b^{12}\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}}{4}+\frac{3003\,a^7\,b^{11}\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}}{4}+\frac{5005\,a^8\,b^{10}\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}}{4}+\frac{6435\,a^9\,b^9\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}}{4}+\frac{6435\,a^{10}\,b^8\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}}{4}+\frac{5005\,a^{11}\,b^7\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}}{4}+\frac{3003\,a^{12}\,b^6\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}}{4}+\frac{1365\,a^{13}\,b^5\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}}{4}+\frac{455\,a^{14}\,b^4\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}}{4}+\frac{105\,a^{15}\,b^3\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}}{4}+\frac{15\,a^{16}\,b^2\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}}{4}\right)\right)\right)}{2\,\sqrt{a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6}}-\frac{6\,{\mathrm{e}}^x}{\left(a+b\right)\,\left(3\,{\mathrm{e}}^{2\,x}-3\,{\mathrm{e}}^{4\,x}+{\mathrm{e}}^{6\,x}-1\right)}+\frac{{\mathrm{e}}^x\,\left(3\,a^2+10\,a\,b+7\,b^2\right)}{4\,{\left(a+b\right)}^3\,\left({\mathrm{e}}^{2\,x}-1\right)}-\frac{{\mathrm{e}}^x\,\left(a-3\,b\right)}{2\,{\left(a+b\right)}^2\,\left({\mathrm{e}}^{4\,x}-2\,{\mathrm{e}}^{2\,x}+1\right)}","Not used",1,"(atan((exp(x)*(243*a^12*(- 6*a*b^5 - 6*a^5*b - a^6 - b^6 - 15*a^2*b^4 - 20*a^3*b^3 - 15*a^4*b^2)^(3/2) + 3840*b^12*(- 6*a*b^5 - 6*a^5*b - a^6 - b^6 - 15*a^2*b^4 - 20*a^3*b^3 - 15*a^4*b^2)^(3/2) + 110560*a*b^11*(- 6*a*b^5 - 6*a^5*b - a^6 - b^6 - 15*a^2*b^4 - 20*a^3*b^3 - 15*a^4*b^2)^(3/2) + 4050*a^11*b*(- 6*a*b^5 - 6*a^5*b - a^6 - b^6 - 15*a^2*b^4 - 20*a^3*b^3 - 15*a^4*b^2)^(3/2) + 976143*a^2*b^10*(- 6*a*b^5 - 6*a^5*b - a^6 - b^6 - 15*a^2*b^4 - 20*a^3*b^3 - 15*a^4*b^2)^(3/2) + 2740050*a^3*b^9*(- 6*a*b^5 - 6*a^5*b - a^6 - b^6 - 15*a^2*b^4 - 20*a^3*b^3 - 15*a^4*b^2)^(3/2) + 4252775*a^4*b^8*(- 6*a*b^5 - 6*a^5*b - a^6 - b^6 - 15*a^2*b^4 - 20*a^3*b^3 - 15*a^4*b^2)^(3/2) + 4316760*a^5*b^7*(- 6*a*b^5 - 6*a^5*b - a^6 - b^6 - 15*a^2*b^4 - 20*a^3*b^3 - 15*a^4*b^2)^(3/2) + 3087390*a^6*b^6*(- 6*a*b^5 - 6*a^5*b - a^6 - b^6 - 15*a^2*b^4 - 20*a^3*b^3 - 15*a^4*b^2)^(3/2) + 1608364*a^7*b^5*(- 6*a*b^5 - 6*a^5*b - a^6 - b^6 - 15*a^2*b^4 - 20*a^3*b^3 - 15*a^4*b^2)^(3/2) + 615750*a^8*b^4*(- 6*a*b^5 - 6*a^5*b - a^6 - b^6 - 15*a^2*b^4 - 20*a^3*b^3 - 15*a^4*b^2)^(3/2) + 171000*a^9*b^3*(- 6*a*b^5 - 6*a^5*b - a^6 - b^6 - 15*a^2*b^4 - 20*a^3*b^3 - 15*a^4*b^2)^(3/2) + 33075*a^10*b^2*(- 6*a*b^5 - 6*a^5*b - a^6 - b^6 - 15*a^2*b^4 - 20*a^3*b^3 - 15*a^4*b^2)^(3/2)))/(81*a^19*(300*a*b^3 + 60*a^3*b + 9*a^4 + 225*b^4 + 190*a^2*b^2)^(1/2) + 256*b^19*(300*a*b^3 + 60*a^3*b + 9*a^4 + 225*b^4 + 190*a^2*b^2)^(1/2) + 9504*a*b^18*(300*a*b^3 + 60*a^3*b + 9*a^4 + 225*b^4 + 190*a^2*b^2)^(1/2) + 1809*a^18*b*(300*a*b^3 + 60*a^3*b + 9*a^4 + 225*b^4 + 190*a^2*b^2)^(1/2) + 134241*a^2*b^17*(300*a*b^3 + 60*a^3*b + 9*a^4 + 225*b^4 + 190*a^2*b^2)^(1/2) + 963809*a^3*b^16*(300*a*b^3 + 60*a^3*b + 9*a^4 + 225*b^4 + 190*a^2*b^2)^(1/2) + 4252296*a^4*b^15*(300*a*b^3 + 60*a^3*b + 9*a^4 + 225*b^4 + 190*a^2*b^2)^(1/2) + 12815304*a^5*b^14*(300*a*b^3 + 60*a^3*b + 9*a^4 + 225*b^4 + 190*a^2*b^2)^(1/2) + 28102636*a^6*b^13*(300*a*b^3 + 60*a^3*b + 9*a^4 + 225*b^4 + 190*a^2*b^2)^(1/2) + 46681644*a^7*b^12*(300*a*b^3 + 60*a^3*b + 9*a^4 + 225*b^4 + 190*a^2*b^2)^(1/2) + 60321816*a^8*b^11*(300*a*b^3 + 60*a^3*b + 9*a^4 + 225*b^4 + 190*a^2*b^2)^(1/2) + 61717144*a^9*b^10*(300*a*b^3 + 60*a^3*b + 9*a^4 + 225*b^4 + 190*a^2*b^2)^(1/2) + 50559894*a^10*b^9*(300*a*b^3 + 60*a^3*b + 9*a^4 + 225*b^4 + 190*a^2*b^2)^(1/2) + 33362646*a^11*b^8*(300*a*b^3 + 60*a^3*b + 9*a^4 + 225*b^4 + 190*a^2*b^2)^(1/2) + 17752184*a^12*b^7*(300*a*b^3 + 60*a^3*b + 9*a^4 + 225*b^4 + 190*a^2*b^2)^(1/2) + 7586616*a^13*b^6*(300*a*b^3 + 60*a^3*b + 9*a^4 + 225*b^4 + 190*a^2*b^2)^(1/2) + 2577804*a^14*b^5*(300*a*b^3 + 60*a^3*b + 9*a^4 + 225*b^4 + 190*a^2*b^2)^(1/2) + 683596*a^15*b^4*(300*a*b^3 + 60*a^3*b + 9*a^4 + 225*b^4 + 190*a^2*b^2)^(1/2) + 137064*a^16*b^3*(300*a*b^3 + 60*a^3*b + 9*a^4 + 225*b^4 + 190*a^2*b^2)^(1/2) + 19656*a^17*b^2*(300*a*b^3 + 60*a^3*b + 9*a^4 + 225*b^4 + 190*a^2*b^2)^(1/2)))*(300*a*b^3 + 60*a^3*b + 9*a^4 + 225*b^4 + 190*a^2*b^2)^(1/2))/(4*(- 6*a*b^5 - 6*a^5*b - a^6 - b^6 - 15*a^2*b^4 - 20*a^3*b^3 - 15*a^4*b^2)^(1/2)) - (4*exp(x))/((a + b)*(6*exp(4*x) - 4*exp(2*x) - 4*exp(6*x) + exp(8*x) + 1)) - ((b^5)^(1/2)*(2*atan((b^3*exp(x)*(a*(a + b)^6)^(1/2))/(2*a*(a + b)^3*(b^5)^(1/2))) - 2*atan((exp(x)*((2*(16*b^14*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2) + 321*a*b^13*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2) + 1890*a^2*b^12*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2) + 5685*a^3*b^11*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2) + 10440*a^4*b^10*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2) + 12690*a^5*b^9*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2) + 10620*a^6*b^8*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2) + 6210*a^7*b^7*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2) + 2520*a^8*b^6*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2) + 685*a^9*b^5*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2) + 114*a^10*b^4*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2) + 9*a^11*b^3*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2)))/(a^2*b*(a + b)^10*(a*b + a^2)*(b^5)^(1/2)*(3*a*b^2 + 3*a^2*b + a^3 + b^3)*(4*a*b^3 + 4*a^3*b + a^4 + 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)*(6*a*b^5 + 6*a^5*b + a^6 + b^6 + 15*a^2*b^4 + 20*a^3*b^3 + 15*a^4*b^2)*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2)) + (4*(4032*a^5*(b^5)^(5/2) + 74990*a^10*(b^5)^(3/2) + 18*a^15*(b^5)^(1/2) + 288*a^2*b^8*(b^5)^(3/2) + 1152*a^3*b^7*(b^5)^(3/2) + 2688*a^4*b^6*(b^5)^(3/2) + 4032*a^6*b^4*(b^5)^(3/2) + 2688*a^7*b^3*(b^5)^(3/2) + 1152*a^8*b^2*(b^5)^(3/2) + 450*a^2*b^13*(b^5)^(1/2) + 4650*a^3*b^12*(b^5)^(1/2) + 21980*a^4*b^11*(b^5)^(1/2) + 62940*a^5*b^10*(b^5)^(1/2) + 121878*a^6*b^9*(b^5)^(1/2) + 168702*a^7*b^8*(b^5)^(1/2) + 172008*a^8*b^7*(b^5)^(1/2) + 131112*a^9*b^6*(b^5)^(1/2) + 31878*a^11*b^4*(b^5)^(1/2) + 9852*a^12*b^3*(b^5)^(1/2) + 2108*a^13*b^2*(b^5)^(1/2) + 32*a*b^9*(b^5)^(3/2) + 288*a^9*b*(b^5)^(3/2) + 282*a^14*b*(b^5)^(1/2)))/(a*b^4*(a + b)^7*(a*b + a^2)*(a*(a + b)^6)^(1/2)*(3*a*b^2 + 3*a^2*b + a^3 + b^3)*(4*a*b^3 + 4*a^3*b + a^4 + 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)*(6*a*b^5 + 6*a^5*b + a^6 + b^6 + 15*a^2*b^4 + 20*a^3*b^3 + 15*a^4*b^2)*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2))) + (2*exp(3*x)*(16*b^14*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2) + 321*a*b^13*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2) + 1890*a^2*b^12*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2) + 5685*a^3*b^11*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2) + 10440*a^4*b^10*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2) + 12690*a^5*b^9*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2) + 10620*a^6*b^8*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2) + 6210*a^7*b^7*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2) + 2520*a^8*b^6*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2) + 685*a^9*b^5*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2) + 114*a^10*b^4*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2) + 9*a^11*b^3*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2)))/(a^2*b*(a + b)^10*(a*b + a^2)*(b^5)^(1/2)*(3*a*b^2 + 3*a^2*b + a^3 + b^3)*(4*a*b^3 + 4*a^3*b + a^4 + 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)*(6*a*b^5 + 6*a^5*b + a^6 + b^6 + 15*a^2*b^4 + 20*a^3*b^3 + 15*a^4*b^2)*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2)))*((a^17*b*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2))/4 + (a^2*b^16*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2))/4 + (15*a^3*b^15*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2))/4 + (105*a^4*b^14*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2))/4 + (455*a^5*b^13*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2))/4 + (1365*a^6*b^12*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2))/4 + (3003*a^7*b^11*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2))/4 + (5005*a^8*b^10*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2))/4 + (6435*a^9*b^9*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2))/4 + (6435*a^10*b^8*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2))/4 + (5005*a^11*b^7*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2))/4 + (3003*a^12*b^6*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2))/4 + (1365*a^13*b^5*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2))/4 + (455*a^14*b^4*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2))/4 + (105*a^15*b^3*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2))/4 + (15*a^16*b^2*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2))/4))))/(2*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)^(1/2)) - (6*exp(x))/((a + b)*(3*exp(2*x) - 3*exp(4*x) + exp(6*x) - 1)) + (exp(x)*(10*a*b + 3*a^2 + 7*b^2))/(4*(a + b)^3*(exp(2*x) - 1)) - (exp(x)*(a - 3*b))/(2*(a + b)^2*(exp(4*x) - 2*exp(2*x) + 1))","B"
13,1,248,88,1.719846,"\text{Not used}","int(sinh(x)^6/(a + b*cosh(x)^2),x)","\frac{{\mathrm{e}}^{4\,x}}{64\,b}-\frac{{\mathrm{e}}^{-4\,x}}{64\,b}+\frac{x\,\left(8\,a^2+20\,a\,b+15\,b^2\right)}{8\,b^3}+\frac{{\mathrm{e}}^{-2\,x}\,\left(a+2\,b\right)}{8\,b^2}-\frac{{\mathrm{e}}^{2\,x}\,\left(a+2\,b\right)}{8\,b^2}+\frac{\ln\left(\frac{4\,{\left(a+b\right)}^5\,\left(2\,a\,b+8\,a^2\,{\mathrm{e}}^{2\,x}+b^2\,{\mathrm{e}}^{2\,x}+b^2+8\,a\,b\,{\mathrm{e}}^{2\,x}\right)}{a\,b^8}-\frac{8\,{\left(a+b\right)}^{11/2}\,\left(b+4\,a\,{\mathrm{e}}^{2\,x}+2\,b\,{\mathrm{e}}^{2\,x}\right)}{\sqrt{a}\,b^8}\right)\,{\left(a+b\right)}^{5/2}}{2\,\sqrt{a}\,b^3}-\frac{\ln\left(\frac{8\,{\left(a+b\right)}^{11/2}\,\left(b+4\,a\,{\mathrm{e}}^{2\,x}+2\,b\,{\mathrm{e}}^{2\,x}\right)}{\sqrt{a}\,b^8}+\frac{4\,{\left(a+b\right)}^5\,\left(2\,a\,b+8\,a^2\,{\mathrm{e}}^{2\,x}+b^2\,{\mathrm{e}}^{2\,x}+b^2+8\,a\,b\,{\mathrm{e}}^{2\,x}\right)}{a\,b^8}\right)\,{\left(a+b\right)}^{5/2}}{2\,\sqrt{a}\,b^3}","Not used",1,"exp(4*x)/(64*b) - exp(-4*x)/(64*b) + (x*(20*a*b + 8*a^2 + 15*b^2))/(8*b^3) + (exp(-2*x)*(a + 2*b))/(8*b^2) - (exp(2*x)*(a + 2*b))/(8*b^2) + (log((4*(a + b)^5*(2*a*b + 8*a^2*exp(2*x) + b^2*exp(2*x) + b^2 + 8*a*b*exp(2*x)))/(a*b^8) - (8*(a + b)^(11/2)*(b + 4*a*exp(2*x) + 2*b*exp(2*x)))/(a^(1/2)*b^8))*(a + b)^(5/2))/(2*a^(1/2)*b^3) - (log((8*(a + b)^(11/2)*(b + 4*a*exp(2*x) + 2*b*exp(2*x)))/(a^(1/2)*b^8) + (4*(a + b)^5*(2*a*b + 8*a^2*exp(2*x) + b^2*exp(2*x) + b^2 + 8*a*b*exp(2*x)))/(a*b^8))*(a + b)^(5/2))/(2*a^(1/2)*b^3)","B"
14,1,146,59,1.265716,"\text{Not used}","int(sinh(x)^4/(a + b*cosh(x)^2),x)","\frac{{\mathrm{e}}^{2\,x}}{8\,b}-\frac{{\mathrm{e}}^{-2\,x}}{8\,b}-\frac{x\,\left(2\,a+3\,b\right)}{2\,b^2}+\frac{\ln\left(-\frac{4\,{\mathrm{e}}^{2\,x}\,{\left(a+b\right)}^2}{b^3}-\frac{2\,{\left(a+b\right)}^{3/2}\,\left(b+2\,a\,{\mathrm{e}}^{2\,x}+b\,{\mathrm{e}}^{2\,x}\right)}{\sqrt{a}\,b^3}\right)\,{\left(a+b\right)}^{3/2}}{2\,\sqrt{a}\,b^2}-\frac{\ln\left(\frac{2\,{\left(a+b\right)}^{3/2}\,\left(b+2\,a\,{\mathrm{e}}^{2\,x}+b\,{\mathrm{e}}^{2\,x}\right)}{\sqrt{a}\,b^3}-\frac{4\,{\mathrm{e}}^{2\,x}\,{\left(a+b\right)}^2}{b^3}\right)\,{\left(a+b\right)}^{3/2}}{2\,\sqrt{a}\,b^2}","Not used",1,"exp(2*x)/(8*b) - exp(-2*x)/(8*b) - (x*(2*a + 3*b))/(2*b^2) + (log(- (4*exp(2*x)*(a + b)^2)/b^3 - (2*(a + b)^(3/2)*(b + 2*a*exp(2*x) + b*exp(2*x)))/(a^(1/2)*b^3))*(a + b)^(3/2))/(2*a^(1/2)*b^2) - (log((2*(a + b)^(3/2)*(b + 2*a*exp(2*x) + b*exp(2*x)))/(a^(1/2)*b^3) - (4*exp(2*x)*(a + b)^2)/b^3)*(a + b)^(3/2))/(2*a^(1/2)*b^2)","B"
15,1,79,39,0.218925,"\text{Not used}","int(sinh(x)^2/(a + b*cosh(x)^2),x)","\frac{x}{b}+\frac{\mathrm{atan}\left(\frac{\sqrt{-a\,b^2}}{2\,a\,\sqrt{a+b}}+\frac{\sqrt{-a\,b^2}}{b\,\sqrt{a+b}}+\frac{{\mathrm{e}}^{2\,x}\,\sqrt{-a\,b^2}}{2\,a\,\sqrt{a+b}}\right)\,\sqrt{a+b}}{\sqrt{-a\,b^2}}","Not used",1,"x/b + (atan((-a*b^2)^(1/2)/(2*a*(a + b)^(1/2)) + (-a*b^2)^(1/2)/(b*(a + b)^(1/2)) + (exp(2*x)*(-a*b^2)^(1/2))/(2*a*(a + b)^(1/2)))*(a + b)^(1/2))/(-a*b^2)^(1/2)","B"
16,1,267,29,0.346039,"\text{Not used}","int(1/(a + b*cosh(x)^2),x)","-\frac{\mathrm{atan}\left(\frac{b^2\,{\mathrm{e}}^{2\,x}\,{\left(-a^2-b\,a\right)}^{3/2}\,\left(\frac{4\,\left(4\,a+2\,b\right)\,\left(8\,a^3+12\,a^2\,b+4\,a\,b^2\right)}{b^5\,{\left(-a^2-b\,a\right)}^{3/2}\,\sqrt{-a\,\left(a+b\right)}}+\frac{2\,\left(8\,a^2+8\,a\,b+b^2\right)\,\left(8\,a^2\,\sqrt{-a^2-b\,a}+b^2\,\sqrt{-a^2-b\,a}+8\,a\,b\,\sqrt{-a^2-b\,a}\right)}{a\,b^5\,\left(a+b\right)\,{\left(-a^2-b\,a\right)}^{3/2}}\right)}{4}+\frac{\left(2\,a^2\,b+2\,a\,b^2\right)\,\left(4\,a+2\,b\right)}{b^3\,\sqrt{-a\,\left(a+b\right)}}+\frac{\left(b^2\,\sqrt{-a^2-b\,a}+2\,a\,b\,\sqrt{-a^2-b\,a}\right)\,\left(8\,a^2+8\,a\,b+b^2\right)}{2\,a\,b^3\,\left(a+b\right)}\right)}{\sqrt{-a^2-b\,a}}","Not used",1,"-atan((b^2*exp(2*x)*(- a*b - a^2)^(3/2)*((4*(4*a + 2*b)*(4*a*b^2 + 12*a^2*b + 8*a^3))/(b^5*(- a*b - a^2)^(3/2)*(-a*(a + b))^(1/2)) + (2*(8*a*b + 8*a^2 + b^2)*(8*a^2*(- a*b - a^2)^(1/2) + b^2*(- a*b - a^2)^(1/2) + 8*a*b*(- a*b - a^2)^(1/2)))/(a*b^5*(a + b)*(- a*b - a^2)^(3/2))))/4 + ((2*a*b^2 + 2*a^2*b)*(4*a + 2*b))/(b^3*(-a*(a + b))^(1/2)) + ((b^2*(- a*b - a^2)^(1/2) + 2*a*b*(- a*b - a^2)^(1/2))*(8*a*b + 8*a^2 + b^2))/(2*a*b^3*(a + b)))/(- a*b - a^2)^(1/2)","B"
17,1,245,59,1.447897,"\text{Not used}","int(1/(sinh(x)^4*(a + b*cosh(x)^2)),x)","\frac{2\,b}{{\left(a+b\right)}^2\,\left({\mathrm{e}}^{2\,x}-1\right)}-\frac{4}{\left(a+b\right)\,\left({\mathrm{e}}^{4\,x}-2\,{\mathrm{e}}^{2\,x}+1\right)}-\frac{8}{3\,\left(a+b\right)\,\left(3\,{\mathrm{e}}^{2\,x}-3\,{\mathrm{e}}^{4\,x}+{\mathrm{e}}^{6\,x}-1\right)}-\frac{b^2\,\ln\left(\frac{4\,b^2\,\left(2\,a\,b+8\,a^2\,{\mathrm{e}}^{2\,x}+b^2\,{\mathrm{e}}^{2\,x}+b^2+8\,a\,b\,{\mathrm{e}}^{2\,x}\right)}{a\,{\left(a+b\right)}^5}-\frac{8\,b^2\,\left(b+4\,a\,{\mathrm{e}}^{2\,x}+2\,b\,{\mathrm{e}}^{2\,x}\right)}{\sqrt{a}\,{\left(a+b\right)}^{9/2}}\right)}{2\,\sqrt{a}\,{\left(a+b\right)}^{5/2}}+\frac{b^2\,\ln\left(\frac{8\,b^2\,\left(b+4\,a\,{\mathrm{e}}^{2\,x}+2\,b\,{\mathrm{e}}^{2\,x}\right)}{\sqrt{a}\,{\left(a+b\right)}^{9/2}}+\frac{4\,b^2\,\left(2\,a\,b+8\,a^2\,{\mathrm{e}}^{2\,x}+b^2\,{\mathrm{e}}^{2\,x}+b^2+8\,a\,b\,{\mathrm{e}}^{2\,x}\right)}{a\,{\left(a+b\right)}^5}\right)}{2\,\sqrt{a}\,{\left(a+b\right)}^{5/2}}","Not used",1,"(2*b)/((a + b)^2*(exp(2*x) - 1)) - 4/((a + b)*(exp(4*x) - 2*exp(2*x) + 1)) - 8/(3*(a + b)*(3*exp(2*x) - 3*exp(4*x) + exp(6*x) - 1)) - (b^2*log((4*b^2*(2*a*b + 8*a^2*exp(2*x) + b^2*exp(2*x) + b^2 + 8*a*b*exp(2*x)))/(a*(a + b)^5) - (8*b^2*(b + 4*a*exp(2*x) + 2*b*exp(2*x)))/(a^(1/2)*(a + b)^(9/2))))/(2*a^(1/2)*(a + b)^(5/2)) + (b^2*log((8*b^2*(b + 4*a*exp(2*x) + 2*b*exp(2*x)))/(a^(1/2)*(a + b)^(9/2)) + (4*b^2*(2*a*b + 8*a^2*exp(2*x) + b^2*exp(2*x) + b^2 + 8*a*b*exp(2*x)))/(a*(a + b)^5)))/(2*a^(1/2)*(a + b)^(5/2))","B"
18,1,333,89,1.546322,"\text{Not used}","int(1/(sinh(x)^6*(a + b*cosh(x)^2)),x)","\frac{4\,\left(b^2+a\,b\right)}{{\left(a+b\right)}^3\,\left({\mathrm{e}}^{4\,x}-2\,{\mathrm{e}}^{2\,x}+1\right)}-\frac{16}{\left(a+b\right)\,\left(6\,{\mathrm{e}}^{4\,x}-4\,{\mathrm{e}}^{2\,x}-4\,{\mathrm{e}}^{6\,x}+{\mathrm{e}}^{8\,x}+1\right)}-\frac{2\,b^2}{{\left(a+b\right)}^3\,\left({\mathrm{e}}^{2\,x}-1\right)}-\frac{32}{5\,\left(a+b\right)\,\left(5\,{\mathrm{e}}^{2\,x}-10\,{\mathrm{e}}^{4\,x}+10\,{\mathrm{e}}^{6\,x}-5\,{\mathrm{e}}^{8\,x}+{\mathrm{e}}^{10\,x}-1\right)}-\frac{8\,\left(4\,a+3\,b\right)}{3\,{\left(a+b\right)}^2\,\left(3\,{\mathrm{e}}^{2\,x}-3\,{\mathrm{e}}^{4\,x}+{\mathrm{e}}^{6\,x}-1\right)}+\frac{b^3\,\ln\left(\frac{4\,b^4\,\left(2\,a\,b+8\,a^2\,{\mathrm{e}}^{2\,x}+b^2\,{\mathrm{e}}^{2\,x}+b^2+8\,a\,b\,{\mathrm{e}}^{2\,x}\right)}{a\,{\left(a+b\right)}^7}-\frac{8\,b^4\,\left(b+4\,a\,{\mathrm{e}}^{2\,x}+2\,b\,{\mathrm{e}}^{2\,x}\right)}{\sqrt{a}\,{\left(a+b\right)}^{13/2}}\right)}{2\,\sqrt{a}\,{\left(a+b\right)}^{7/2}}-\frac{b^3\,\ln\left(\frac{8\,b^4\,\left(b+4\,a\,{\mathrm{e}}^{2\,x}+2\,b\,{\mathrm{e}}^{2\,x}\right)}{\sqrt{a}\,{\left(a+b\right)}^{13/2}}+\frac{4\,b^4\,\left(2\,a\,b+8\,a^2\,{\mathrm{e}}^{2\,x}+b^2\,{\mathrm{e}}^{2\,x}+b^2+8\,a\,b\,{\mathrm{e}}^{2\,x}\right)}{a\,{\left(a+b\right)}^7}\right)}{2\,\sqrt{a}\,{\left(a+b\right)}^{7/2}}","Not used",1,"(4*(a*b + b^2))/((a + b)^3*(exp(4*x) - 2*exp(2*x) + 1)) - 16/((a + b)*(6*exp(4*x) - 4*exp(2*x) - 4*exp(6*x) + exp(8*x) + 1)) - (2*b^2)/((a + b)^3*(exp(2*x) - 1)) - 32/(5*(a + b)*(5*exp(2*x) - 10*exp(4*x) + 10*exp(6*x) - 5*exp(8*x) + exp(10*x) - 1)) - (8*(4*a + 3*b))/(3*(a + b)^2*(3*exp(2*x) - 3*exp(4*x) + exp(6*x) - 1)) + (b^3*log((4*b^4*(2*a*b + 8*a^2*exp(2*x) + b^2*exp(2*x) + b^2 + 8*a*b*exp(2*x)))/(a*(a + b)^7) - (8*b^4*(b + 4*a*exp(2*x) + 2*b*exp(2*x)))/(a^(1/2)*(a + b)^(13/2))))/(2*a^(1/2)*(a + b)^(7/2)) - (b^3*log((8*b^4*(b + 4*a*exp(2*x) + 2*b*exp(2*x)))/(a^(1/2)*(a + b)^(13/2)) + (4*b^4*(2*a*b + 8*a^2*exp(2*x) + b^2*exp(2*x) + b^2 + 8*a*b*exp(2*x)))/(a*(a + b)^7)))/(2*a^(1/2)*(a + b)^(7/2))","B"
19,1,205,98,3.512317,"\text{Not used}","int(-sinh(x)/(3*cosh(x)^3 - 4),x)","-\frac{6^{2/3}\,\ln\left(\frac{256\,{\mathrm{e}}^{2\,x}}{81}-\frac{128\,{\mathrm{e}}^x}{27}+\frac{6^{2/3}\,\left(\frac{256\,{\mathrm{e}}^{2\,x}}{9}-\frac{2048\,{\mathrm{e}}^x}{27}+\frac{6^{2/3}\,\left(256\,{\mathrm{e}}^{2\,x}-\frac{2048\,{\mathrm{e}}^x}{3}+256\right)}{36}+\frac{256}{9}\right)}{36}+\frac{256}{81}\right)}{36}-\frac{6^{2/3}\,\ln\left(\frac{256\,{\mathrm{e}}^{2\,x}}{81}-\frac{128\,{\mathrm{e}}^x}{27}+\frac{6^{2/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{256\,{\mathrm{e}}^{2\,x}}{9}-\frac{2048\,{\mathrm{e}}^x}{27}+\frac{6^{2/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(256\,{\mathrm{e}}^{2\,x}-\frac{2048\,{\mathrm{e}}^x}{3}+256\right)}{36}+\frac{256}{9}\right)}{36}+\frac{256}{81}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{36}+\frac{6^{2/3}\,\ln\left(\frac{256\,{\mathrm{e}}^{2\,x}}{81}-\frac{128\,{\mathrm{e}}^x}{27}-\frac{6^{2/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{256\,{\mathrm{e}}^{2\,x}}{9}-\frac{2048\,{\mathrm{e}}^x}{27}-\frac{6^{2/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(256\,{\mathrm{e}}^{2\,x}-\frac{2048\,{\mathrm{e}}^x}{3}+256\right)}{36}+\frac{256}{9}\right)}{36}+\frac{256}{81}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{36}","Not used",1,"(6^(2/3)*log((256*exp(2*x))/81 - (128*exp(x))/27 - (6^(2/3)*((3^(1/2)*1i)/2 + 1/2)*((256*exp(2*x))/9 - (2048*exp(x))/27 - (6^(2/3)*((3^(1/2)*1i)/2 + 1/2)*(256*exp(2*x) - (2048*exp(x))/3 + 256))/36 + 256/9))/36 + 256/81)*((3^(1/2)*1i)/2 + 1/2))/36 - (6^(2/3)*log((256*exp(2*x))/81 - (128*exp(x))/27 + (6^(2/3)*((3^(1/2)*1i)/2 - 1/2)*((256*exp(2*x))/9 - (2048*exp(x))/27 + (6^(2/3)*((3^(1/2)*1i)/2 - 1/2)*(256*exp(2*x) - (2048*exp(x))/3 + 256))/36 + 256/9))/36 + 256/81)*((3^(1/2)*1i)/2 - 1/2))/36 - (6^(2/3)*log((256*exp(2*x))/81 - (128*exp(x))/27 + (6^(2/3)*((256*exp(2*x))/9 - (2048*exp(x))/27 + (6^(2/3)*(256*exp(2*x) - (2048*exp(x))/3 + 256))/36 + 256/9))/36 + 256/81))/36","B"
20,1,293,78,1.394359,"\text{Not used}","int(cosh(x)^7/(a + b*cosh(x)^2),x)","\frac{{\mathrm{e}}^{5\,x}}{160\,b}-\frac{{\mathrm{e}}^{-5\,x}}{160\,b}-\frac{{\mathrm{e}}^{-x}\,\left(8\,a^2-6\,a\,b+5\,b^2\right)}{16\,b^3}+\frac{\left(2\,\mathrm{atan}\left(\frac{\left(b^9\,\sqrt{b^8+a\,b^7}+a\,b^8\,\sqrt{b^8+a\,b^7}\right)\,\left({\mathrm{e}}^x\,\left(\frac{2\,a^7}{b^{11}\,{\left(a+b\right)}^2\,\sqrt{a^6}}-\frac{4\,\left(2\,a^4\,b^4\,\sqrt{a^6}+2\,a^5\,b^3\,\sqrt{a^6}\right)}{a^3\,b^8\,\left(a+b\right)\,\sqrt{b^7\,\left(a+b\right)}\,\sqrt{b^8+a\,b^7}}\right)-\frac{2\,a^7\,{\mathrm{e}}^{3\,x}}{b^{11}\,{\left(a+b\right)}^2\,\sqrt{a^6}}\right)}{4\,a^4}\right)-2\,\mathrm{atan}\left(\frac{a^3\,{\mathrm{e}}^x\,\sqrt{b^7\,\left(a+b\right)}}{2\,b^3\,\left(a+b\right)\,\sqrt{a^6}}\right)\right)\,\sqrt{a^6}}{2\,\sqrt{b^8+a\,b^7}}+\frac{{\mathrm{e}}^{-3\,x}\,\left(4\,a-5\,b\right)}{96\,b^2}-\frac{{\mathrm{e}}^{3\,x}\,\left(4\,a-5\,b\right)}{96\,b^2}+\frac{{\mathrm{e}}^x\,\left(8\,a^2-6\,a\,b+5\,b^2\right)}{16\,b^3}","Not used",1,"exp(5*x)/(160*b) - exp(-5*x)/(160*b) - (exp(-x)*(8*a^2 - 6*a*b + 5*b^2))/(16*b^3) + ((2*atan(((b^9*(a*b^7 + b^8)^(1/2) + a*b^8*(a*b^7 + b^8)^(1/2))*(exp(x)*((2*a^7)/(b^11*(a + b)^2*(a^6)^(1/2)) - (4*(2*a^4*b^4*(a^6)^(1/2) + 2*a^5*b^3*(a^6)^(1/2)))/(a^3*b^8*(a + b)*(b^7*(a + b))^(1/2)*(a*b^7 + b^8)^(1/2))) - (2*a^7*exp(3*x))/(b^11*(a + b)^2*(a^6)^(1/2))))/(4*a^4)) - 2*atan((a^3*exp(x)*(b^7*(a + b))^(1/2))/(2*b^3*(a + b)*(a^6)^(1/2))))*(a^6)^(1/2))/(2*(a*b^7 + b^8)^(1/2)) + (exp(-3*x)*(4*a - 5*b))/(96*b^2) - (exp(3*x)*(4*a - 5*b))/(96*b^2) + (exp(x)*(8*a^2 - 6*a*b + 5*b^2))/(16*b^3)","B"
21,1,178,88,1.329916,"\text{Not used}","int(cosh(x)^6/(a + b*cosh(x)^2),x)","\frac{{\mathrm{e}}^{4\,x}}{64\,b}-\frac{{\mathrm{e}}^{-4\,x}}{64\,b}+\frac{x\,\left(8\,a^2-4\,a\,b+3\,b^2\right)}{8\,b^3}+\frac{{\mathrm{e}}^{-2\,x}\,\left(a-b\right)}{8\,b^2}-\frac{{\mathrm{e}}^{2\,x}\,\left(a-b\right)}{8\,b^2}+\frac{a^{5/2}\,\ln\left(\frac{4\,a^3\,{\mathrm{e}}^{2\,x}}{b^4}-\frac{2\,a^{5/2}\,\left(b+2\,a\,{\mathrm{e}}^{2\,x}+b\,{\mathrm{e}}^{2\,x}\right)}{b^4\,\sqrt{a+b}}\right)}{2\,b^3\,\sqrt{a+b}}-\frac{a^{5/2}\,\ln\left(\frac{4\,a^3\,{\mathrm{e}}^{2\,x}}{b^4}+\frac{2\,a^{5/2}\,\left(b+2\,a\,{\mathrm{e}}^{2\,x}+b\,{\mathrm{e}}^{2\,x}\right)}{b^4\,\sqrt{a+b}}\right)}{2\,b^3\,\sqrt{a+b}}","Not used",1,"exp(4*x)/(64*b) - exp(-4*x)/(64*b) + (x*(8*a^2 - 4*a*b + 3*b^2))/(8*b^3) + (exp(-2*x)*(a - b))/(8*b^2) - (exp(2*x)*(a - b))/(8*b^2) + (a^(5/2)*log((4*a^3*exp(2*x))/b^4 - (2*a^(5/2)*(b + 2*a*exp(2*x) + b*exp(2*x)))/(b^4*(a + b)^(1/2))))/(2*b^3*(a + b)^(1/2)) - (a^(5/2)*log((4*a^3*exp(2*x))/b^4 + (2*a^(5/2)*(b + 2*a*exp(2*x) + b*exp(2*x)))/(b^4*(a + b)^(1/2))))/(2*b^3*(a + b)^(1/2))","B"
22,1,243,56,1.254968,"\text{Not used}","int(cosh(x)^5/(a + b*cosh(x)^2),x)","\frac{{\mathrm{e}}^{3\,x}}{24\,b}-\frac{{\mathrm{e}}^{-3\,x}}{24\,b}+\frac{{\mathrm{e}}^{-x}\,\left(4\,a-3\,b\right)}{8\,b^2}+\frac{\sqrt{a^4}\,\left(2\,\mathrm{atan}\left(\frac{a^2\,{\mathrm{e}}^x\,\sqrt{b^5\,\left(a+b\right)}}{2\,b^2\,\left(a+b\right)\,\sqrt{a^4}}\right)-2\,\mathrm{atan}\left(\left(\frac{b^7\,\sqrt{b^6+a\,b^5}}{4}+\frac{a\,b^6\,\sqrt{b^6+a\,b^5}}{4}\right)\,\left({\mathrm{e}}^x\,\left(\frac{2\,a^2}{b^8\,{\left(a+b\right)}^2\,\sqrt{a^4}}-\frac{4\,\left(2\,a^3\,b^3\,\sqrt{a^4}+2\,a^4\,b^2\,\sqrt{a^4}\right)}{a^5\,b^6\,\left(a+b\right)\,\sqrt{b^5\,\left(a+b\right)}\,\sqrt{b^6+a\,b^5}}\right)-\frac{2\,a^2\,{\mathrm{e}}^{3\,x}}{b^8\,{\left(a+b\right)}^2\,\sqrt{a^4}}\right)\right)\right)}{2\,\sqrt{b^6+a\,b^5}}-\frac{{\mathrm{e}}^x\,\left(4\,a-3\,b\right)}{8\,b^2}","Not used",1,"exp(3*x)/(24*b) - exp(-3*x)/(24*b) + (exp(-x)*(4*a - 3*b))/(8*b^2) + ((a^4)^(1/2)*(2*atan((a^2*exp(x)*(b^5*(a + b))^(1/2))/(2*b^2*(a + b)*(a^4)^(1/2))) - 2*atan(((b^7*(a*b^5 + b^6)^(1/2))/4 + (a*b^6*(a*b^5 + b^6)^(1/2))/4)*(exp(x)*((2*a^2)/(b^8*(a + b)^2*(a^4)^(1/2)) - (4*(2*a^3*b^3*(a^4)^(1/2) + 2*a^4*b^2*(a^4)^(1/2)))/(a^5*b^6*(a + b)*(b^5*(a + b))^(1/2)*(a*b^5 + b^6)^(1/2))) - (2*a^2*exp(3*x))/(b^8*(a + b)^2*(a^4)^(1/2))))))/(2*(a*b^5 + b^6)^(1/2)) - (exp(x)*(4*a - 3*b))/(8*b^2)","B"
23,1,142,59,1.168053,"\text{Not used}","int(cosh(x)^4/(a + b*cosh(x)^2),x)","\frac{{\mathrm{e}}^{2\,x}}{8\,b}-\frac{{\mathrm{e}}^{-2\,x}}{8\,b}-\frac{x\,\left(2\,a-b\right)}{2\,b^2}+\frac{a^{3/2}\,\ln\left(-\frac{4\,a^2\,{\mathrm{e}}^{2\,x}}{b^3}-\frac{2\,a^{3/2}\,\left(b+2\,a\,{\mathrm{e}}^{2\,x}+b\,{\mathrm{e}}^{2\,x}\right)}{b^3\,\sqrt{a+b}}\right)}{2\,b^2\,\sqrt{a+b}}-\frac{a^{3/2}\,\ln\left(\frac{2\,a^{3/2}\,\left(b+2\,a\,{\mathrm{e}}^{2\,x}+b\,{\mathrm{e}}^{2\,x}\right)}{b^3\,\sqrt{a+b}}-\frac{4\,a^2\,{\mathrm{e}}^{2\,x}}{b^3}\right)}{2\,b^2\,\sqrt{a+b}}","Not used",1,"exp(2*x)/(8*b) - exp(-2*x)/(8*b) - (x*(2*a - b))/(2*b^2) + (a^(3/2)*log(- (4*a^2*exp(2*x))/b^3 - (2*a^(3/2)*(b + 2*a*exp(2*x) + b*exp(2*x)))/(b^3*(a + b)^(1/2))))/(2*b^2*(a + b)^(1/2)) - (a^(3/2)*log((2*a^(3/2)*(b + 2*a*exp(2*x) + b*exp(2*x)))/(b^3*(a + b)^(1/2)) - (4*a^2*exp(2*x))/b^3))/(2*b^2*(a + b)^(1/2))","B"
24,1,204,38,1.162271,"\text{Not used}","int(cosh(x)^3/(a + b*cosh(x)^2),x)","\frac{{\mathrm{e}}^x}{2\,b}-\frac{{\mathrm{e}}^{-x}}{2\,b}-\frac{\left(2\,\mathrm{atan}\left(\frac{a^3\,{\mathrm{e}}^x\,\sqrt{b^3\,\left(a+b\right)}}{2\,b\,\left(a+b\right)\,{\left(a^2\right)}^{3/2}}\right)-2\,\mathrm{atan}\left(\left(\frac{b^5\,\sqrt{b^4+a\,b^3}}{4}+\frac{a\,b^4\,\sqrt{b^4+a\,b^3}}{4}\right)\,\left({\mathrm{e}}^x\,\left(\frac{2\,a^3}{b^5\,{\left(a+b\right)}^2\,{\left(a^2\right)}^{3/2}}-\frac{4\,\left(2\,b^2\,{\left(a^2\right)}^{3/2}+2\,a\,b\,{\left(a^2\right)}^{3/2}\right)}{a^3\,b^4\,\left(a+b\right)\,\sqrt{b^3\,\left(a+b\right)}\,\sqrt{b^4+a\,b^3}}\right)-\frac{2\,a^3\,{\mathrm{e}}^{3\,x}}{b^5\,{\left(a+b\right)}^2\,{\left(a^2\right)}^{3/2}}\right)\right)\right)\,\sqrt{a^2}}{2\,\sqrt{b^4+a\,b^3}}","Not used",1,"exp(x)/(2*b) - exp(-x)/(2*b) - ((2*atan((a^3*exp(x)*(b^3*(a + b))^(1/2))/(2*b*(a + b)*(a^2)^(3/2))) - 2*atan(((b^5*(a*b^3 + b^4)^(1/2))/4 + (a*b^4*(a*b^3 + b^4)^(1/2))/4)*(exp(x)*((2*a^3)/(b^5*(a + b)^2*(a^2)^(3/2)) - (4*(2*b^2*(a^2)^(3/2) + 2*a*b*(a^2)^(3/2)))/(a^3*b^4*(a + b)*(b^3*(a + b))^(1/2)*(a*b^3 + b^4)^(1/2))) - (2*a^3*exp(3*x))/(b^5*(a + b)^2*(a^2)^(3/2)))))*(a^2)^(1/2))/(2*(a*b^3 + b^4)^(1/2))","B"
25,1,376,39,1.383051,"\text{Not used}","int(cosh(x)^2/(a + b*cosh(x)^2),x)","\frac{x}{b}+\frac{\sqrt{a}\,\mathrm{atan}\left(\frac{\left(b^5\,\sqrt{-b^3-a\,b^2}+a\,b^4\,\sqrt{-b^3-a\,b^2}\right)\,\left({\mathrm{e}}^{2\,x}\,\left(\frac{2\,\left(8\,a^{5/2}\,\sqrt{-b^3-a\,b^2}+\sqrt{a}\,b^2\,\sqrt{-b^3-a\,b^2}+8\,a^{3/2}\,b\,\sqrt{-b^3-a\,b^2}\right)\,\left(8\,a^2+8\,a\,b+b^2\right)}{b^8\,{\left(a+b\right)}^2\,\sqrt{-b^3-a\,b^2}}+\frac{4\,\sqrt{a}\,\left(4\,a+2\,b\right)\,\left(8\,a^3\,b+12\,a^2\,b^2+4\,a\,b^3\right)}{b^7\,\left(a+b\right)\,\sqrt{-b^2\,\left(a+b\right)}\,\sqrt{-b^3-a\,b^2}}\right)+\frac{2\,\left(\sqrt{a}\,b^2\,\sqrt{-b^3-a\,b^2}+2\,a^{3/2}\,b\,\sqrt{-b^3-a\,b^2}\right)\,\left(8\,a^2+8\,a\,b+b^2\right)}{b^8\,{\left(a+b\right)}^2\,\sqrt{-b^3-a\,b^2}}+\frac{4\,\sqrt{a}\,\left(2\,a^2\,b^2+2\,a\,b^3\right)\,\left(4\,a+2\,b\right)}{b^7\,\left(a+b\right)\,\sqrt{-b^2\,\left(a+b\right)}\,\sqrt{-b^3-a\,b^2}}\right)}{4\,a}\right)}{\sqrt{-b^3-a\,b^2}}","Not used",1,"x/b + (a^(1/2)*atan(((b^5*(- a*b^2 - b^3)^(1/2) + a*b^4*(- a*b^2 - b^3)^(1/2))*(exp(2*x)*((2*(8*a^(5/2)*(- a*b^2 - b^3)^(1/2) + a^(1/2)*b^2*(- a*b^2 - b^3)^(1/2) + 8*a^(3/2)*b*(- a*b^2 - b^3)^(1/2))*(8*a*b + 8*a^2 + b^2))/(b^8*(a + b)^2*(- a*b^2 - b^3)^(1/2)) + (4*a^(1/2)*(4*a + 2*b)*(4*a*b^3 + 8*a^3*b + 12*a^2*b^2))/(b^7*(a + b)*(-b^2*(a + b))^(1/2)*(- a*b^2 - b^3)^(1/2))) + (2*(a^(1/2)*b^2*(- a*b^2 - b^3)^(1/2) + 2*a^(3/2)*b*(- a*b^2 - b^3)^(1/2))*(8*a*b + 8*a^2 + b^2))/(b^8*(a + b)^2*(- a*b^2 - b^3)^(1/2)) + (4*a^(1/2)*(2*a*b^3 + 2*a^2*b^2)*(4*a + 2*b))/(b^7*(a + b)*(-b^2*(a + b))^(1/2)*(- a*b^2 - b^3)^(1/2))))/(4*a)))/(- a*b^2 - b^3)^(1/2)","B"
26,1,87,29,1.189306,"\text{Not used}","int(cosh(x)/(a + b*cosh(x)^2),x)","-\frac{\ln\left(-\frac{4\,\left(a-a\,{\mathrm{e}}^{2\,x}\right)}{b^2\,\left(a+b\right)}-\frac{8\,a\,{\mathrm{e}}^x}{{\left(-b\right)}^{5/2}\,\sqrt{a+b}}\right)-\ln\left(\frac{8\,a\,{\mathrm{e}}^x}{{\left(-b\right)}^{5/2}\,\sqrt{a+b}}-\frac{4\,\left(a-a\,{\mathrm{e}}^{2\,x}\right)}{b^2\,\left(a+b\right)}\right)}{2\,\sqrt{-b}\,\sqrt{a+b}}","Not used",1,"-(log(- (4*(a - a*exp(2*x)))/(b^2*(a + b)) - (8*a*exp(x))/((-b)^(5/2)*(a + b)^(1/2))) - log((8*a*exp(x))/((-b)^(5/2)*(a + b)^(1/2)) - (4*(a - a*exp(2*x)))/(b^2*(a + b))))/(2*(-b)^(1/2)*(a + b)^(1/2))","B"
27,1,267,29,0.002486,"\text{Not used}","int(1/(a + b*cosh(x)^2),x)","-\frac{\mathrm{atan}\left(\frac{b^2\,{\mathrm{e}}^{2\,x}\,{\left(-a^2-b\,a\right)}^{3/2}\,\left(\frac{4\,\left(4\,a+2\,b\right)\,\left(8\,a^3+12\,a^2\,b+4\,a\,b^2\right)}{b^5\,{\left(-a^2-b\,a\right)}^{3/2}\,\sqrt{-a\,\left(a+b\right)}}+\frac{2\,\left(8\,a^2+8\,a\,b+b^2\right)\,\left(8\,a^2\,\sqrt{-a^2-b\,a}+b^2\,\sqrt{-a^2-b\,a}+8\,a\,b\,\sqrt{-a^2-b\,a}\right)}{a\,b^5\,\left(a+b\right)\,{\left(-a^2-b\,a\right)}^{3/2}}\right)}{4}+\frac{\left(2\,a^2\,b+2\,a\,b^2\right)\,\left(4\,a+2\,b\right)}{b^3\,\sqrt{-a\,\left(a+b\right)}}+\frac{\left(b^2\,\sqrt{-a^2-b\,a}+2\,a\,b\,\sqrt{-a^2-b\,a}\right)\,\left(8\,a^2+8\,a\,b+b^2\right)}{2\,a\,b^3\,\left(a+b\right)}\right)}{\sqrt{-a^2-b\,a}}","Not used",1,"-atan((b^2*exp(2*x)*(- a*b - a^2)^(3/2)*((4*(4*a + 2*b)*(4*a*b^2 + 12*a^2*b + 8*a^3))/(b^5*(- a*b - a^2)^(3/2)*(-a*(a + b))^(1/2)) + (2*(8*a*b + 8*a^2 + b^2)*(8*a^2*(- a*b - a^2)^(1/2) + b^2*(- a*b - a^2)^(1/2) + 8*a*b*(- a*b - a^2)^(1/2)))/(a*b^5*(a + b)*(- a*b - a^2)^(3/2))))/4 + ((2*a*b^2 + 2*a^2*b)*(4*a + 2*b))/(b^3*(-a*(a + b))^(1/2)) + ((b^2*(- a*b - a^2)^(1/2) + 2*a*b*(- a*b - a^2)^(1/2))*(8*a*b + 8*a^2 + b^2))/(2*a*b^3*(a + b)))/(- a*b - a^2)^(1/2)","B"
28,1,208,41,1.303357,"\text{Not used}","int(1/(cosh(x)*(a + b*cosh(x)^2)),x)","\frac{2\,\mathrm{atan}\left(\frac{{\mathrm{e}}^x\,\left(16\,{\left(a^2\right)}^{3/2}+9\,b^2\,\sqrt{a^2}+24\,a\,b\,\sqrt{a^2}\right)}{16\,a^3+24\,a^2\,b+9\,a\,b^2}\right)}{\sqrt{a^2}}-\frac{\sqrt{b}\,\left(2\,\mathrm{atan}\left(\frac{\sqrt{b}\,{\mathrm{e}}^x\,\sqrt{a^2\,\left(a+b\right)}}{2\,a\,\left(a+b\right)}\right)+2\,\mathrm{atan}\left(\frac{4\,a^4\,{\mathrm{e}}^x+8\,a^3\,b\,{\mathrm{e}}^x+4\,a^2\,b^2\,{\mathrm{e}}^x-b\,{\mathrm{e}}^x\,\sqrt{a^2\,\left(a+b\right)}\,\sqrt{a^3+b\,a^2}+b\,{\mathrm{e}}^{3\,x}\,\sqrt{a^2\,\left(a+b\right)}\,\sqrt{a^3+b\,a^2}}{\sqrt{b}\,\sqrt{a^2\,\left(a+b\right)}\,\left(2\,a^2+2\,b\,a\right)}\right)\right)}{2\,\sqrt{a^3+b\,a^2}}","Not used",1,"(2*atan((exp(x)*(16*(a^2)^(3/2) + 9*b^2*(a^2)^(1/2) + 24*a*b*(a^2)^(1/2)))/(9*a*b^2 + 24*a^2*b + 16*a^3)))/(a^2)^(1/2) - (b^(1/2)*(2*atan((b^(1/2)*exp(x)*(a^2*(a + b))^(1/2))/(2*a*(a + b))) + 2*atan((4*a^4*exp(x) + 8*a^3*b*exp(x) + 4*a^2*b^2*exp(x) - b*exp(x)*(a^2*(a + b))^(1/2)*(a^2*b + a^3)^(1/2) + b*exp(3*x)*(a^2*(a + b))^(1/2)*(a^2*b + a^3)^(1/2))/(b^(1/2)*(a^2*(a + b))^(1/2)*(2*a*b + 2*a^2)))))/(2*(a^2*b + a^3)^(1/2))","B"
29,1,108,38,0.278638,"\text{Not used}","int(1/(cosh(x)^2*(a + b*cosh(x)^2)),x)","\frac{b\,\ln\left(\frac{4\,{\mathrm{e}}^{2\,x}}{a}-\frac{2\,\left(b+2\,a\,{\mathrm{e}}^{2\,x}+b\,{\mathrm{e}}^{2\,x}\right)}{a^{3/2}\,\sqrt{a+b}}\right)}{2\,a^{3/2}\,\sqrt{a+b}}-\frac{2}{a\,\left({\mathrm{e}}^{2\,x}+1\right)}-\frac{b\,\ln\left(\frac{4\,{\mathrm{e}}^{2\,x}}{a}+\frac{2\,\left(b+2\,a\,{\mathrm{e}}^{2\,x}+b\,{\mathrm{e}}^{2\,x}\right)}{a^{3/2}\,\sqrt{a+b}}\right)}{2\,a^{3/2}\,\sqrt{a+b}}","Not used",1,"(b*log((4*exp(2*x))/a - (2*(b + 2*a*exp(2*x) + b*exp(2*x)))/(a^(3/2)*(a + b)^(1/2))))/(2*a^(3/2)*(a + b)^(1/2)) - 2/(a*(exp(2*x) + 1)) - (b*log((4*exp(2*x))/a + (2*(b + 2*a*exp(2*x) + b*exp(2*x)))/(a^(3/2)*(a + b)^(1/2))))/(2*a^(3/2)*(a + b)^(1/2))","B"
30,1,447,59,1.555408,"\text{Not used}","int(1/(cosh(x)^3*(a + b*cosh(x)^2)),x)","\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^x\,\left(a^7\,{\left(a^4\right)}^{3/2}-12\,b^3\,{\left(a^4\right)}^{5/2}-18\,b^7\,{\left(a^4\right)}^{3/2}+36\,a^2\,b^5\,{\left(a^4\right)}^{3/2}-30\,a^3\,b^4\,{\left(a^4\right)}^{3/2}+21\,a^5\,b^2\,{\left(a^4\right)}^{3/2}+9\,a\,b^6\,{\left(a^4\right)}^{3/2}-8\,a^6\,b\,{\left(a^4\right)}^{3/2}\right)}{a^{12}\,\sqrt{a^2-4\,a\,b+4\,b^2}-6\,a^{11}\,b\,\sqrt{a^2-4\,a\,b+4\,b^2}+9\,a^6\,b^6\,\sqrt{a^2-4\,a\,b+4\,b^2}-18\,a^8\,b^4\,\sqrt{a^2-4\,a\,b+4\,b^2}+6\,a^9\,b^3\,\sqrt{a^2-4\,a\,b+4\,b^2}+9\,a^{10}\,b^2\,\sqrt{a^2-4\,a\,b+4\,b^2}}\right)\,\sqrt{a^2-4\,a\,b+4\,b^2}}{\sqrt{a^4}}-\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)}-\frac{{\left(-b\right)}^{3/2}\,\ln\left(\frac{64\,\left({\mathrm{e}}^{2\,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}}^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\,\sqrt{a+b}}+\frac{{\left(-b\right)}^{3/2}\,\ln\left(\frac{64\,\left({\mathrm{e}}^{2\,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}}^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\,\sqrt{a+b}}","Not used",1,"(atan((exp(x)*(a^7*(a^4)^(3/2) - 12*b^3*(a^4)^(5/2) - 18*b^7*(a^4)^(3/2) + 36*a^2*b^5*(a^4)^(3/2) - 30*a^3*b^4*(a^4)^(3/2) + 21*a^5*b^2*(a^4)^(3/2) + 9*a*b^6*(a^4)^(3/2) - 8*a^6*b*(a^4)^(3/2)))/(a^12*(a^2 - 4*a*b + 4*b^2)^(1/2) - 6*a^11*b*(a^2 - 4*a*b + 4*b^2)^(1/2) + 9*a^6*b^6*(a^2 - 4*a*b + 4*b^2)^(1/2) - 18*a^8*b^4*(a^2 - 4*a*b + 4*b^2)^(1/2) + 6*a^9*b^3*(a^2 - 4*a*b + 4*b^2)^(1/2) + 9*a^10*b^2*(a^2 - 4*a*b + 4*b^2)^(1/2)))*(a^2 - 4*a*b + 4*b^2)^(1/2))/(a^4)^(1/2) - (2*exp(x))/(a*(2*exp(2*x) + exp(4*x) + 1)) + exp(x)/(a*(exp(2*x) + 1)) - ((-b)^(3/2)*log((64*(exp(2*x) - 1)*(a^3 - 3*a^2*b + 3*b^3))/(a^5*(a + b)^2) - (128*exp(x)*(a^3 - 3*a^2*b + 3*b^3))/(a^5*(-b)^(1/2)*(a + b)^(3/2))))/(2*a^2*(a + b)^(1/2)) + ((-b)^(3/2)*log((64*(exp(2*x) - 1)*(a^3 - 3*a^2*b + 3*b^3))/(a^5*(a + b)^2) + (128*exp(x)*(a^3 - 3*a^2*b + 3*b^3))/(a^5*(-b)^(1/2)*(a + b)^(3/2))))/(2*a^2*(a + b)^(1/2))","B"
31,1,239,55,1.316984,"\text{Not used}","int(1/(cosh(x)^4*(a + b*cosh(x)^2)),x)","\frac{8}{3\,a\,\left(3\,{\mathrm{e}}^{2\,x}+3\,{\mathrm{e}}^{4\,x}+{\mathrm{e}}^{6\,x}+1\right)}-\frac{4}{a\,\left(2\,{\mathrm{e}}^{2\,x}+{\mathrm{e}}^{4\,x}+1\right)}+\frac{2\,b}{a^2\,\left({\mathrm{e}}^{2\,x}+1\right)}-\frac{b^2\,\ln\left(\frac{4\,b^2\,\left(2\,a\,b+8\,a^2\,{\mathrm{e}}^{2\,x}+b^2\,{\mathrm{e}}^{2\,x}+b^2+8\,a\,b\,{\mathrm{e}}^{2\,x}\right)}{a^5\,\left(a+b\right)}-\frac{8\,b^2\,\left(b+4\,a\,{\mathrm{e}}^{2\,x}+2\,b\,{\mathrm{e}}^{2\,x}\right)}{a^{9/2}\,\sqrt{a+b}}\right)}{2\,a^{5/2}\,\sqrt{a+b}}+\frac{b^2\,\ln\left(\frac{8\,b^2\,\left(b+4\,a\,{\mathrm{e}}^{2\,x}+2\,b\,{\mathrm{e}}^{2\,x}\right)}{a^{9/2}\,\sqrt{a+b}}+\frac{4\,b^2\,\left(2\,a\,b+8\,a^2\,{\mathrm{e}}^{2\,x}+b^2\,{\mathrm{e}}^{2\,x}+b^2+8\,a\,b\,{\mathrm{e}}^{2\,x}\right)}{a^5\,\left(a+b\right)}\right)}{2\,a^{5/2}\,\sqrt{a+b}}","Not used",1,"8/(3*a*(3*exp(2*x) + 3*exp(4*x) + exp(6*x) + 1)) - 4/(a*(2*exp(2*x) + exp(4*x) + 1)) + (2*b)/(a^2*(exp(2*x) + 1)) - (b^2*log((4*b^2*(2*a*b + 8*a^2*exp(2*x) + b^2*exp(2*x) + b^2 + 8*a*b*exp(2*x)))/(a^5*(a + b)) - (8*b^2*(b + 4*a*exp(2*x) + 2*b*exp(2*x)))/(a^(9/2)*(a + b)^(1/2))))/(2*a^(5/2)*(a + b)^(1/2)) + (b^2*log((8*b^2*(b + 4*a*exp(2*x) + 2*b*exp(2*x)))/(a^(9/2)*(a + b)^(1/2)) + (4*b^2*(2*a*b + 8*a^2*exp(2*x) + b^2*exp(2*x) + b^2 + 8*a*b*exp(2*x)))/(a^5*(a + b))))/(2*a^(5/2)*(a + b)^(1/2))","B"
32,1,1305,90,36.098486,"\text{Not used}","int(1/(cosh(x)^5*(a + b*cosh(x)^2)),x)","\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^x\,\left(243\,a^{12}\,\sqrt{a^6}+5024\,b^6\,{\left(a^6\right)}^{3/2}+18432\,b^{12}\,\sqrt{a^6}+6912\,a^2\,b^{10}\,\sqrt{a^6}+30720\,a^3\,b^9\,\sqrt{a^6}-26880\,a^4\,b^8\,\sqrt{a^6}+24192\,a^5\,b^7\,\sqrt{a^6}-13408\,a^7\,b^5\,\sqrt{a^6}+17160\,a^8\,b^4\,\sqrt{a^6}-9540\,a^9\,b^3\,\sqrt{a^6}+4563\,a^{10}\,b^2\,\sqrt{a^6}-9216\,a\,b^{11}\,\sqrt{a^6}-1134\,a^{11}\,b\,\sqrt{a^6}\right)}{81\,a^{13}\,\sqrt{9\,a^4-24\,a^3\,b+64\,a^2\,b^2-64\,a\,b^3+64\,b^4}-270\,a^{12}\,b\,\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}\,\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\,\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\,\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\,\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\,\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\,\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\,\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}}-\frac{6\,{\mathrm{e}}^x}{a\,\left(3\,{\mathrm{e}}^{2\,x}+3\,{\mathrm{e}}^{4\,x}+{\mathrm{e}}^{6\,x}+1\right)}+\frac{\sqrt{b^5}\,\left(2\,\mathrm{atan}\left(\left({\mathrm{e}}^x\,\left(\frac{2\,\left(48\,b^8\,\sqrt{a^7+b\,a^6}+40\,a^3\,b^5\,\sqrt{a^7+b\,a^6}-15\,a^4\,b^4\,\sqrt{a^7+b\,a^6}+9\,a^5\,b^3\,\sqrt{a^7+b\,a^6}\right)}{a^{11}\,b\,\left(a+b\right)\,\left(a^2+b\,a\right)\,\sqrt{a^7+b\,a^6}\,\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)}-\frac{4\,\left(96\,a^4\,{\left(b^5\right)}^{3/2}+18\,a^9\,\sqrt{b^5}+80\,a^6\,b^3\,\sqrt{b^5}+50\,a^7\,b^2\,\sqrt{b^5}+96\,a^3\,b\,{\left(b^5\right)}^{3/2}-12\,a^8\,b\,\sqrt{b^5}\right)}{a^8\,b^4\,\left(a+b\right)\,\left(a^2+b\,a\right)\,\sqrt{a^6\,\left(a+b\right)}\,\sqrt{a^7+b\,a^6}\,\left(9\,a^5-15\,a^4\,b+40\,a^3\,b^2+48\,b^5\right)}\right)-\frac{2\,{\mathrm{e}}^{3\,x}\,\left(48\,b^8\,\sqrt{a^7+b\,a^6}+40\,a^3\,b^5\,\sqrt{a^7+b\,a^6}-15\,a^4\,b^4\,\sqrt{a^7+b\,a^6}+9\,a^5\,b^3\,\sqrt{a^7+b\,a^6}\right)}{a^{11}\,b\,\left(a+b\right)\,\left(a^2+b\,a\right)\,\sqrt{a^7+b\,a^6}\,\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+b\,a^6}}{4}+\frac{a^9\,b^3\,\sqrt{a^7+b\,a^6}}{4}+\frac{a^{10}\,b^2\,\sqrt{a^7+b\,a^6}}{2}\right)\right)-2\,\mathrm{atan}\left(\frac{b^3\,{\mathrm{e}}^x\,\sqrt{a^6\,\left(a+b\right)}\,\left(9\,a^5-15\,a^4\,b+40\,a^3\,b^2+48\,b^5\right)}{2\,a^3\,\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)\right)}{2\,\sqrt{a^7+b\,a^6}}+\frac{4\,{\mathrm{e}}^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{{\mathrm{e}}^x\,\left(a+4\,b\right)}{2\,a^2\,\left(2\,{\mathrm{e}}^{2\,x}+{\mathrm{e}}^{4\,x}+1\right)}-\frac{{\mathrm{e}}^x\,\left(4\,a\,b-3\,a^2\right)}{4\,a^3\,\left({\mathrm{e}}^{2\,x}+1\right)}","Not used",1,"(atan((exp(x)*(243*a^12*(a^6)^(1/2) + 5024*b^6*(a^6)^(3/2) + 18432*b^12*(a^6)^(1/2) + 6912*a^2*b^10*(a^6)^(1/2) + 30720*a^3*b^9*(a^6)^(1/2) - 26880*a^4*b^8*(a^6)^(1/2) + 24192*a^5*b^7*(a^6)^(1/2) - 13408*a^7*b^5*(a^6)^(1/2) + 17160*a^8*b^4*(a^6)^(1/2) - 9540*a^9*b^3*(a^6)^(1/2) + 4563*a^10*b^2*(a^6)^(1/2) - 9216*a*b^11*(a^6)^(1/2) - 1134*a^11*b*(a^6)^(1/2)))/(81*a^13*(9*a^4 - 24*a^3*b - 64*a*b^3 + 64*b^4 + 64*a^2*b^2)^(1/2) - 270*a^12*b*(9*a^4 - 24*a^3*b - 64*a*b^3 + 64*b^4 + 64*a^2*b^2)^(1/2) + 2304*a^3*b^10*(9*a^4 - 24*a^3*b - 64*a*b^3 + 64*b^4 + 64*a^2*b^2)^(1/2) + 3840*a^6*b^7*(9*a^4 - 24*a^3*b - 64*a*b^3 + 64*b^4 + 64*a^2*b^2)^(1/2) - 1440*a^7*b^6*(9*a^4 - 24*a^3*b - 64*a*b^3 + 64*b^4 + 64*a^2*b^2)^(1/2) + 864*a^8*b^5*(9*a^4 - 24*a^3*b - 64*a*b^3 + 64*b^4 + 64*a^2*b^2)^(1/2) + 1600*a^9*b^4*(9*a^4 - 24*a^3*b - 64*a*b^3 + 64*b^4 + 64*a^2*b^2)^(1/2) - 1200*a^10*b^3*(9*a^4 - 24*a^3*b - 64*a*b^3 + 64*b^4 + 64*a^2*b^2)^(1/2) + 945*a^11*b^2*(9*a^4 - 24*a^3*b - 64*a*b^3 + 64*b^4 + 64*a^2*b^2)^(1/2)))*(9*a^4 - 24*a^3*b - 64*a*b^3 + 64*b^4 + 64*a^2*b^2)^(1/2))/(4*(a^6)^(1/2)) - (6*exp(x))/(a*(3*exp(2*x) + 3*exp(4*x) + exp(6*x) + 1)) + ((b^5)^(1/2)*(2*atan((exp(x)*((2*(48*b^8*(a^6*b + a^7)^(1/2) + 40*a^3*b^5*(a^6*b + a^7)^(1/2) - 15*a^4*b^4*(a^6*b + a^7)^(1/2) + 9*a^5*b^3*(a^6*b + a^7)^(1/2)))/(a^11*b*(a + b)*(a*b + a^2)*(a^6*b + a^7)^(1/2)*(b^5)^(1/2)*(48*a*b^5 - 6*a^5*b + 9*a^6 + 48*b^6 + 40*a^3*b^3 + 25*a^4*b^2)) - (4*(96*a^4*(b^5)^(3/2) + 18*a^9*(b^5)^(1/2) + 80*a^6*b^3*(b^5)^(1/2) + 50*a^7*b^2*(b^5)^(1/2) + 96*a^3*b*(b^5)^(3/2) - 12*a^8*b*(b^5)^(1/2)))/(a^8*b^4*(a + b)*(a*b + a^2)*(a^6*(a + b))^(1/2)*(a^6*b + a^7)^(1/2)*(9*a^5 - 15*a^4*b + 48*b^5 + 40*a^3*b^2))) - (2*exp(3*x)*(48*b^8*(a^6*b + a^7)^(1/2) + 40*a^3*b^5*(a^6*b + a^7)^(1/2) - 15*a^4*b^4*(a^6*b + a^7)^(1/2) + 9*a^5*b^3*(a^6*b + a^7)^(1/2)))/(a^11*b*(a + b)*(a*b + a^2)*(a^6*b + a^7)^(1/2)*(b^5)^(1/2)*(48*a*b^5 - 6*a^5*b + 9*a^6 + 48*b^6 + 40*a^3*b^3 + 25*a^4*b^2)))*((a^11*b*(a^6*b + a^7)^(1/2))/4 + (a^9*b^3*(a^6*b + a^7)^(1/2))/4 + (a^10*b^2*(a^6*b + a^7)^(1/2))/2)) - 2*atan((b^3*exp(x)*(a^6*(a + b))^(1/2)*(9*a^5 - 15*a^4*b + 48*b^5 + 40*a^3*b^2))/(2*a^3*(b^5)^(1/2)*(48*a*b^5 - 6*a^5*b + 9*a^6 + 48*b^6 + 40*a^3*b^3 + 25*a^4*b^2)))))/(2*(a^6*b + a^7)^(1/2)) + (4*exp(x))/(a*(4*exp(2*x) + 6*exp(4*x) + 4*exp(6*x) + exp(8*x) + 1)) + (exp(x)*(a + 4*b))/(2*a^2*(2*exp(2*x) + exp(4*x) + 1)) - (exp(x)*(4*a*b - 3*a^2))/(4*a^3*(exp(2*x) + 1))","B"
33,0,-1,65,0.000000,"\text{Not used}","int(1/(a + b*cosh(x)^2)^2,x)","\int \frac{1}{{\left(b\,{\mathrm{cosh}\left(x\right)}^2+a\right)}^2} \,d x","Not used",1,"int(1/(a + b*cosh(x)^2)^2, x)","F"
34,0,-1,107,0.000000,"\text{Not used}","int(1/(a + b*cosh(x)^2)^3,x)","\int \frac{1}{{\left(b\,{\mathrm{cosh}\left(x\right)}^2+a\right)}^3} \,d x","Not used",1,"int(1/(a + b*cosh(x)^2)^3, x)","F"
35,1,50,15,0.136284,"\text{Not used}","int(1/(cosh(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(\frac{\sqrt{2}\,\left(12\,{\mathrm{e}}^{2\,x}+4\right)}{4}-4\,{\mathrm{e}}^{2\,x}\right)\right)}{4}","Not used",1,"(2^(1/2)*(log(- 4*exp(2*x) - (2^(1/2)*(12*exp(2*x) + 4))/4) - log((2^(1/2)*(12*exp(2*x) + 4))/4 - 4*exp(2*x))))/4","B"
36,1,76,35,1.048938,"\text{Not used}","int(1/(cosh(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(\frac{3\,\sqrt{2}\,\left(12\,{\mathrm{e}}^{2\,x}+4\right)}{16}-3\,{\mathrm{e}}^{2\,x}\right)}{16}+\frac{\frac{3\,{\mathrm{e}}^{2\,x}}{2}+\frac{1}{2}}{6\,{\mathrm{e}}^{2\,x}+{\mathrm{e}}^{4\,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*2^(1/2)*(12*exp(2*x) + 4))/16 - 3*exp(2*x)))/16 + ((3*exp(2*x))/2 + 1/2)/(6*exp(2*x) + exp(4*x) + 1)","B"
37,1,112,51,0.995146,"\text{Not used}","int(1/(cosh(x)^2 + 1)^3,x)","\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{17\,{\mathrm{e}}^{2\,x}+3}{12\,{\mathrm{e}}^{2\,x}+38\,{\mathrm{e}}^{4\,x}+12\,{\mathrm{e}}^{6\,x}+{\mathrm{e}}^{8\,x}+1}-\frac{19\,\sqrt{2}\,\ln\left(\frac{19\,\sqrt{2}\,\left(12\,{\mathrm{e}}^{2\,x}+4\right)}{128}-\frac{19\,{\mathrm{e}}^{2\,x}}{8}\right)}{128}+\frac{\frac{19\,{\mathrm{e}}^{2\,x}}{16}+\frac{57}{16}}{6\,{\mathrm{e}}^{2\,x}+{\mathrm{e}}^{4\,x}+1}","Not used",1,"(19*2^(1/2)*log(- (19*exp(2*x))/8 - (19*2^(1/2)*(12*exp(2*x) + 4))/128))/128 - (17*exp(2*x) + 3)/(12*exp(2*x) + 38*exp(4*x) + 12*exp(6*x) + exp(8*x) + 1) - (19*2^(1/2)*log((19*2^(1/2)*(12*exp(2*x) + 4))/128 - (19*exp(2*x))/8))/128 + ((19*exp(2*x))/16 + 57/16)/(6*exp(2*x) + exp(4*x) + 1)","B"
38,1,10,2,0.062580,"\text{Not used}","int(-1/(cosh(x)^2 - 1),x)","\frac{2}{{\mathrm{e}}^{2\,x}-1}","Not used",1,"2/(exp(2*x) - 1)","B"
39,1,18,11,0.980085,"\text{Not used}","int(1/(cosh(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"
40,1,24,19,0.064455,"\text{Not used}","int(-1/(cosh(x)^2 - 1)^3,x)","\frac{16\,\left(10\,{\mathrm{e}}^{4\,x}-5\,{\mathrm{e}}^{2\,x}+1\right)}{15\,{\left({\mathrm{e}}^{2\,x}-1\right)}^5}","Not used",1,"(16*(10*exp(4*x) - 5*exp(2*x) + 1))/(15*(exp(2*x) - 1)^5)","B"
41,0,-1,49,0.000000,"\text{Not used}","int((a + b*cosh(x)^2)^(1/2),x)","\int \sqrt{b\,{\mathrm{cosh}\left(x\right)}^2+a} \,d x","Not used",1,"int((a + b*cosh(x)^2)^(1/2), x)","F"
42,0,-1,17,0.000000,"\text{Not used}","int((cosh(x)^2 + 1)^(1/2),x)","\int \sqrt{{\mathrm{cosh}\left(x\right)}^2+1} \,d x","Not used",1,"int((cosh(x)^2 + 1)^(1/2), x)","F"
43,1,13,13,1.015970,"\text{Not used}","int((1 - cosh(x)^2)^(1/2),x)","\mathrm{coth}\left(x\right)\,\sqrt{1-{\mathrm{cosh}\left(x\right)}^2}","Not used",1,"coth(x)*(1 - cosh(x)^2)^(1/2)","B"
44,1,11,11,0.952651,"\text{Not used}","int((cosh(x)^2 - 1)^(1/2),x)","\mathrm{coth}\left(x\right)\,\sqrt{{\mathrm{cosh}\left(x\right)}^2-1}","Not used",1,"coth(x)*(cosh(x)^2 - 1)^(1/2)","B"
45,0,-1,39,0.000000,"\text{Not used}","int((- cosh(x)^2 - 1)^(1/2),x)","\int \sqrt{-{\mathrm{cosh}\left(x\right)}^2-1} \,d x","Not used",1,"int((- cosh(x)^2 - 1)^(1/2), x)","F"
46,0,-1,133,0.000000,"\text{Not used}","int((a + b*cosh(x)^2)^(3/2),x)","\int {\left(b\,{\mathrm{cosh}\left(x\right)}^2+a\right)}^{3/2} \,d x","Not used",1,"int((a + b*cosh(x)^2)^(3/2), x)","F"
47,0,-1,55,0.000000,"\text{Not used}","int((cosh(x)^2 + 1)^(3/2),x)","\int {\left({\mathrm{cosh}\left(x\right)}^2+1\right)}^{3/2} \,d x","Not used",1,"int((cosh(x)^2 + 1)^(3/2), x)","F"
48,0,-1,33,0.000000,"\text{Not used}","int((1 - cosh(x)^2)^(3/2),x)","\int {\left(1-{\mathrm{cosh}\left(x\right)}^2\right)}^{3/2} \,d x","Not used",1,"int((1 - cosh(x)^2)^(3/2), x)","F"
49,0,-1,29,0.000000,"\text{Not used}","int((cosh(x)^2 - 1)^(3/2),x)","\int {\left({\mathrm{cosh}\left(x\right)}^2-1\right)}^{3/2} \,d x","Not used",1,"int((cosh(x)^2 - 1)^(3/2), x)","F"
50,0,-1,101,0.000000,"\text{Not used}","int((- cosh(x)^2 - 1)^(3/2),x)","\int {\left(-{\mathrm{cosh}\left(x\right)}^2-1\right)}^{3/2} \,d x","Not used",1,"int((- cosh(x)^2 - 1)^(3/2), x)","F"
51,0,-1,49,0.000000,"\text{Not used}","int(1/(a + b*cosh(x)^2)^(1/2),x)","\int \frac{1}{\sqrt{b\,{\mathrm{cosh}\left(x\right)}^2+a}} \,d x","Not used",1,"int(1/(a + b*cosh(x)^2)^(1/2), x)","F"
52,0,-1,17,0.000000,"\text{Not used}","int(1/(cosh(x)^2 + 1)^(1/2),x)","\int \frac{1}{\sqrt{{\mathrm{cosh}\left(x\right)}^2+1}} \,d x","Not used",1,"int(1/(cosh(x)^2 + 1)^(1/2), x)","F"
53,0,-1,17,0.000000,"\text{Not used}","int(1/(1 - cosh(x)^2)^(1/2),x)","\int \frac{1}{\sqrt{1-{\mathrm{cosh}\left(x\right)}^2}} \,d x","Not used",1,"int(1/(1 - cosh(x)^2)^(1/2), x)","F"
54,0,-1,15,0.000000,"\text{Not used}","int(1/(cosh(x)^2 - 1)^(1/2),x)","\int \frac{1}{\sqrt{{\mathrm{cosh}\left(x\right)}^2-1}} \,d x","Not used",1,"int(1/(cosh(x)^2 - 1)^(1/2), x)","F"
55,0,-1,39,0.000000,"\text{Not used}","int(1/(- cosh(x)^2 - 1)^(1/2),x)","\int \frac{1}{\sqrt{-{\mathrm{cosh}\left(x\right)}^2-1}} \,d x","Not used",1,"int(1/(- cosh(x)^2 - 1)^(1/2), x)","F"
56,1,633,288,5.156825,"\text{Not used}","int(1/(a + b*cosh(x)^3),x)","\sum _{k=1}^6\ln\left(-\frac{\left(-4\,{\mathrm{e}}^x+\mathrm{root}\left(729\,a^4\,b^2\,d^6-729\,a^6\,d^6+243\,a^4\,d^4-27\,a^2\,d^2+1,d,k\right)\,b+{\mathrm{root}\left(729\,a^4\,b^2\,d^6-729\,a^6\,d^6+243\,a^4\,d^4-27\,a^2\,d^2+1,d,k\right)}^3\,a^2\,b\,54+{\mathrm{root}\left(729\,a^4\,b^2\,d^6-729\,a^6\,d^6+243\,a^4\,d^4-27\,a^2\,d^2+1,d,k\right)}^4\,a^3\,b\,108+{\mathrm{root}\left(729\,a^4\,b^2\,d^6-729\,a^6\,d^6+243\,a^4\,d^4-27\,a^2\,d^2+1,d,k\right)}^5\,a^4\,b\,81+{\mathrm{root}\left(729\,a^4\,b^2\,d^6-729\,a^6\,d^6+243\,a^4\,d^4-27\,a^2\,d^2+1,d,k\right)}^2\,a^2\,{\mathrm{e}}^x\,24+{\mathrm{root}\left(729\,a^4\,b^2\,d^6-729\,a^6\,d^6+243\,a^4\,d^4-27\,a^2\,d^2+1,d,k\right)}^3\,a^3\,{\mathrm{e}}^x\,216+{\mathrm{root}\left(729\,a^4\,b^2\,d^6-729\,a^6\,d^6+243\,a^4\,d^4-27\,a^2\,d^2+1,d,k\right)}^4\,a^4\,{\mathrm{e}}^x\,108-{\mathrm{root}\left(729\,a^4\,b^2\,d^6-729\,a^6\,d^6+243\,a^4\,d^4-27\,a^2\,d^2+1,d,k\right)}^5\,a^5\,{\mathrm{e}}^x\,324+{\mathrm{root}\left(729\,a^4\,b^2\,d^6-729\,a^6\,d^6+243\,a^4\,d^4-27\,a^2\,d^2+1,d,k\right)}^2\,a\,b\,12-\mathrm{root}\left(729\,a^4\,b^2\,d^6-729\,a^6\,d^6+243\,a^4\,d^4-27\,a^2\,d^2+1,d,k\right)\,a\,{\mathrm{e}}^x\,20+{\mathrm{root}\left(729\,a^4\,b^2\,d^6-729\,a^6\,d^6+243\,a^4\,d^4-27\,a^2\,d^2+1,d,k\right)}^4\,a^2\,b^2\,{\mathrm{e}}^x\,27+{\mathrm{root}\left(729\,a^4\,b^2\,d^6-729\,a^6\,d^6+243\,a^4\,d^4-27\,a^2\,d^2+1,d,k\right)}^5\,a^3\,b^2\,{\mathrm{e}}^x\,405\right)\,24576}{b^5}\right)\,\mathrm{root}\left(729\,a^4\,b^2\,d^6-729\,a^6\,d^6+243\,a^4\,d^4-27\,a^2\,d^2+1,d,k\right)","Not used",1,"symsum(log(-(24576*(root(729*a^4*b^2*d^6 - 729*a^6*d^6 + 243*a^4*d^4 - 27*a^2*d^2 + 1, d, k)*b - 4*exp(x) + 54*root(729*a^4*b^2*d^6 - 729*a^6*d^6 + 243*a^4*d^4 - 27*a^2*d^2 + 1, d, k)^3*a^2*b + 108*root(729*a^4*b^2*d^6 - 729*a^6*d^6 + 243*a^4*d^4 - 27*a^2*d^2 + 1, d, k)^4*a^3*b + 81*root(729*a^4*b^2*d^6 - 729*a^6*d^6 + 243*a^4*d^4 - 27*a^2*d^2 + 1, d, k)^5*a^4*b + 24*root(729*a^4*b^2*d^6 - 729*a^6*d^6 + 243*a^4*d^4 - 27*a^2*d^2 + 1, d, k)^2*a^2*exp(x) + 216*root(729*a^4*b^2*d^6 - 729*a^6*d^6 + 243*a^4*d^4 - 27*a^2*d^2 + 1, d, k)^3*a^3*exp(x) + 108*root(729*a^4*b^2*d^6 - 729*a^6*d^6 + 243*a^4*d^4 - 27*a^2*d^2 + 1, d, k)^4*a^4*exp(x) - 324*root(729*a^4*b^2*d^6 - 729*a^6*d^6 + 243*a^4*d^4 - 27*a^2*d^2 + 1, d, k)^5*a^5*exp(x) + 12*root(729*a^4*b^2*d^6 - 729*a^6*d^6 + 243*a^4*d^4 - 27*a^2*d^2 + 1, d, k)^2*a*b - 20*root(729*a^4*b^2*d^6 - 729*a^6*d^6 + 243*a^4*d^4 - 27*a^2*d^2 + 1, d, k)*a*exp(x) + 27*root(729*a^4*b^2*d^6 - 729*a^6*d^6 + 243*a^4*d^4 - 27*a^2*d^2 + 1, d, k)^4*a^2*b^2*exp(x) + 405*root(729*a^4*b^2*d^6 - 729*a^6*d^6 + 243*a^4*d^4 - 27*a^2*d^2 + 1, d, k)^5*a^3*b^2*exp(x)))/b^5)*root(729*a^4*b^2*d^6 - 729*a^6*d^6 + 243*a^4*d^4 - 27*a^2*d^2 + 1, d, k), k, 1, 6)","B"
57,1,633,288,5.894398,"\text{Not used}","int(1/(a - b*cosh(x)^3),x)","\sum _{k=1}^6\ln\left(-\frac{\left(4\,{\mathrm{e}}^x+\mathrm{root}\left(729\,a^4\,b^2\,d^6-729\,a^6\,d^6+243\,a^4\,d^4-27\,a^2\,d^2+1,d,k\right)\,b+{\mathrm{root}\left(729\,a^4\,b^2\,d^6-729\,a^6\,d^6+243\,a^4\,d^4-27\,a^2\,d^2+1,d,k\right)}^3\,a^2\,b\,54+{\mathrm{root}\left(729\,a^4\,b^2\,d^6-729\,a^6\,d^6+243\,a^4\,d^4-27\,a^2\,d^2+1,d,k\right)}^4\,a^3\,b\,108+{\mathrm{root}\left(729\,a^4\,b^2\,d^6-729\,a^6\,d^6+243\,a^4\,d^4-27\,a^2\,d^2+1,d,k\right)}^5\,a^4\,b\,81-{\mathrm{root}\left(729\,a^4\,b^2\,d^6-729\,a^6\,d^6+243\,a^4\,d^4-27\,a^2\,d^2+1,d,k\right)}^2\,a^2\,{\mathrm{e}}^x\,24-{\mathrm{root}\left(729\,a^4\,b^2\,d^6-729\,a^6\,d^6+243\,a^4\,d^4-27\,a^2\,d^2+1,d,k\right)}^3\,a^3\,{\mathrm{e}}^x\,216-{\mathrm{root}\left(729\,a^4\,b^2\,d^6-729\,a^6\,d^6+243\,a^4\,d^4-27\,a^2\,d^2+1,d,k\right)}^4\,a^4\,{\mathrm{e}}^x\,108+{\mathrm{root}\left(729\,a^4\,b^2\,d^6-729\,a^6\,d^6+243\,a^4\,d^4-27\,a^2\,d^2+1,d,k\right)}^5\,a^5\,{\mathrm{e}}^x\,324+{\mathrm{root}\left(729\,a^4\,b^2\,d^6-729\,a^6\,d^6+243\,a^4\,d^4-27\,a^2\,d^2+1,d,k\right)}^2\,a\,b\,12+\mathrm{root}\left(729\,a^4\,b^2\,d^6-729\,a^6\,d^6+243\,a^4\,d^4-27\,a^2\,d^2+1,d,k\right)\,a\,{\mathrm{e}}^x\,20-{\mathrm{root}\left(729\,a^4\,b^2\,d^6-729\,a^6\,d^6+243\,a^4\,d^4-27\,a^2\,d^2+1,d,k\right)}^4\,a^2\,b^2\,{\mathrm{e}}^x\,27-{\mathrm{root}\left(729\,a^4\,b^2\,d^6-729\,a^6\,d^6+243\,a^4\,d^4-27\,a^2\,d^2+1,d,k\right)}^5\,a^3\,b^2\,{\mathrm{e}}^x\,405\right)\,24576}{b^5}\right)\,\mathrm{root}\left(729\,a^4\,b^2\,d^6-729\,a^6\,d^6+243\,a^4\,d^4-27\,a^2\,d^2+1,d,k\right)","Not used",1,"symsum(log(-(24576*(4*exp(x) + root(729*a^4*b^2*d^6 - 729*a^6*d^6 + 243*a^4*d^4 - 27*a^2*d^2 + 1, d, k)*b + 54*root(729*a^4*b^2*d^6 - 729*a^6*d^6 + 243*a^4*d^4 - 27*a^2*d^2 + 1, d, k)^3*a^2*b + 108*root(729*a^4*b^2*d^6 - 729*a^6*d^6 + 243*a^4*d^4 - 27*a^2*d^2 + 1, d, k)^4*a^3*b + 81*root(729*a^4*b^2*d^6 - 729*a^6*d^6 + 243*a^4*d^4 - 27*a^2*d^2 + 1, d, k)^5*a^4*b - 24*root(729*a^4*b^2*d^6 - 729*a^6*d^6 + 243*a^4*d^4 - 27*a^2*d^2 + 1, d, k)^2*a^2*exp(x) - 216*root(729*a^4*b^2*d^6 - 729*a^6*d^6 + 243*a^4*d^4 - 27*a^2*d^2 + 1, d, k)^3*a^3*exp(x) - 108*root(729*a^4*b^2*d^6 - 729*a^6*d^6 + 243*a^4*d^4 - 27*a^2*d^2 + 1, d, k)^4*a^4*exp(x) + 324*root(729*a^4*b^2*d^6 - 729*a^6*d^6 + 243*a^4*d^4 - 27*a^2*d^2 + 1, d, k)^5*a^5*exp(x) + 12*root(729*a^4*b^2*d^6 - 729*a^6*d^6 + 243*a^4*d^4 - 27*a^2*d^2 + 1, d, k)^2*a*b + 20*root(729*a^4*b^2*d^6 - 729*a^6*d^6 + 243*a^4*d^4 - 27*a^2*d^2 + 1, d, k)*a*exp(x) - 27*root(729*a^4*b^2*d^6 - 729*a^6*d^6 + 243*a^4*d^4 - 27*a^2*d^2 + 1, d, k)^4*a^2*b^2*exp(x) - 405*root(729*a^4*b^2*d^6 - 729*a^6*d^6 + 243*a^4*d^4 - 27*a^2*d^2 + 1, d, k)^5*a^3*b^2*exp(x)))/b^5)*root(729*a^4*b^2*d^6 - 729*a^6*d^6 + 243*a^4*d^4 - 27*a^2*d^2 + 1, d, k), k, 1, 6)","B"
58,1,291,91,3.430696,"\text{Not used}","int(1/(cosh(x)^3 + 1),x)","\ln\left(\frac{128}{9}+\sqrt{\frac{1}{18}-\frac{\sqrt{3}\,1{}\mathrm{i}}{54}}\,\left(\frac{160}{3}+\sqrt{\frac{1}{18}-\frac{\sqrt{3}\,1{}\mathrm{i}}{54}}\,\left(384\,{\mathrm{e}}^x+\sqrt{\frac{1}{18}-\frac{\sqrt{3}\,1{}\mathrm{i}}{54}}\,\left(1152\,{\mathrm{e}}^x-864\right)-192\right)-\frac{32\,{\mathrm{e}}^x}{3}\right)-\frac{32\,{\mathrm{e}}^x}{3}\right)\,\sqrt{\frac{1}{18}-\frac{\sqrt{3}\,1{}\mathrm{i}}{54}}+\ln\left(\frac{128}{9}+\sqrt{\frac{1}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{54}}\,\left(\frac{160}{3}+\sqrt{\frac{1}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{54}}\,\left(384\,{\mathrm{e}}^x+\sqrt{\frac{1}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{54}}\,\left(1152\,{\mathrm{e}}^x-864\right)-192\right)-\frac{32\,{\mathrm{e}}^x}{3}\right)-\frac{32\,{\mathrm{e}}^x}{3}\right)\,\sqrt{\frac{1}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{54}}-\ln\left(\frac{128}{9}-\sqrt{\frac{1}{18}-\frac{\sqrt{3}\,1{}\mathrm{i}}{54}}\,\left(\frac{160}{3}+\sqrt{\frac{1}{18}-\frac{\sqrt{3}\,1{}\mathrm{i}}{54}}\,\left(192+\sqrt{\frac{1}{18}-\frac{\sqrt{3}\,1{}\mathrm{i}}{54}}\,\left(1152\,{\mathrm{e}}^x-864\right)-384\,{\mathrm{e}}^x\right)-\frac{32\,{\mathrm{e}}^x}{3}\right)-\frac{32\,{\mathrm{e}}^x}{3}\right)\,\sqrt{\frac{1}{18}-\frac{\sqrt{3}\,1{}\mathrm{i}}{54}}-\ln\left(\frac{128}{9}-\sqrt{\frac{1}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{54}}\,\left(\frac{160}{3}+\sqrt{\frac{1}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{54}}\,\left(192+\sqrt{\frac{1}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{54}}\,\left(1152\,{\mathrm{e}}^x-864\right)-384\,{\mathrm{e}}^x\right)-\frac{32\,{\mathrm{e}}^x}{3}\right)-\frac{32\,{\mathrm{e}}^x}{3}\right)\,\sqrt{\frac{1}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{54}}-\frac{2}{3\,\left({\mathrm{e}}^x+1\right)}","Not used",1,"log((1/18 - (3^(1/2)*1i)/54)^(1/2)*((1/18 - (3^(1/2)*1i)/54)^(1/2)*(384*exp(x) + (1/18 - (3^(1/2)*1i)/54)^(1/2)*(1152*exp(x) - 864) - 192) - (32*exp(x))/3 + 160/3) - (32*exp(x))/3 + 128/9)*(1/18 - (3^(1/2)*1i)/54)^(1/2) + log(((3^(1/2)*1i)/54 + 1/18)^(1/2)*(((3^(1/2)*1i)/54 + 1/18)^(1/2)*(384*exp(x) + ((3^(1/2)*1i)/54 + 1/18)^(1/2)*(1152*exp(x) - 864) - 192) - (32*exp(x))/3 + 160/3) - (32*exp(x))/3 + 128/9)*((3^(1/2)*1i)/54 + 1/18)^(1/2) - log(128/9 - (1/18 - (3^(1/2)*1i)/54)^(1/2)*((1/18 - (3^(1/2)*1i)/54)^(1/2)*((1/18 - (3^(1/2)*1i)/54)^(1/2)*(1152*exp(x) - 864) - 384*exp(x) + 192) - (32*exp(x))/3 + 160/3) - (32*exp(x))/3)*(1/18 - (3^(1/2)*1i)/54)^(1/2) - log(128/9 - ((3^(1/2)*1i)/54 + 1/18)^(1/2)*(((3^(1/2)*1i)/54 + 1/18)^(1/2)*(((3^(1/2)*1i)/54 + 1/18)^(1/2)*(1152*exp(x) - 864) - 384*exp(x) + 192) - (32*exp(x))/3 + 160/3) - (32*exp(x))/3)*((3^(1/2)*1i)/54 + 1/18)^(1/2) - 2/(3*(exp(x) + 1))","B"
59,1,295,95,3.416359,"\text{Not used}","int(-1/(cosh(x)^3 - 1),x)","\ln\left(\frac{32\,{\mathrm{e}}^x}{3}+\sqrt{\frac{1}{18}-\frac{\sqrt{3}\,1{}\mathrm{i}}{54}}\,\left(\frac{32\,{\mathrm{e}}^x}{3}-\sqrt{\frac{1}{18}-\frac{\sqrt{3}\,1{}\mathrm{i}}{54}}\,\left(384\,{\mathrm{e}}^x+\sqrt{\frac{1}{18}-\frac{\sqrt{3}\,1{}\mathrm{i}}{54}}\,\left(1152\,{\mathrm{e}}^x+864\right)+192\right)+\frac{160}{3}\right)+\frac{128}{9}\right)\,\sqrt{\frac{1}{18}-\frac{\sqrt{3}\,1{}\mathrm{i}}{54}}+\ln\left(\frac{32\,{\mathrm{e}}^x}{3}+\sqrt{\frac{1}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{54}}\,\left(\frac{32\,{\mathrm{e}}^x}{3}-\sqrt{\frac{1}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{54}}\,\left(384\,{\mathrm{e}}^x+\sqrt{\frac{1}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{54}}\,\left(1152\,{\mathrm{e}}^x+864\right)+192\right)+\frac{160}{3}\right)+\frac{128}{9}\right)\,\sqrt{\frac{1}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{54}}-\ln\left(\frac{32\,{\mathrm{e}}^x}{3}-\sqrt{\frac{1}{18}-\frac{\sqrt{3}\,1{}\mathrm{i}}{54}}\,\left(\frac{32\,{\mathrm{e}}^x}{3}+\sqrt{\frac{1}{18}-\frac{\sqrt{3}\,1{}\mathrm{i}}{54}}\,\left(384\,{\mathrm{e}}^x-\sqrt{\frac{1}{18}-\frac{\sqrt{3}\,1{}\mathrm{i}}{54}}\,\left(1152\,{\mathrm{e}}^x+864\right)+192\right)+\frac{160}{3}\right)+\frac{128}{9}\right)\,\sqrt{\frac{1}{18}-\frac{\sqrt{3}\,1{}\mathrm{i}}{54}}-\ln\left(\frac{32\,{\mathrm{e}}^x}{3}-\sqrt{\frac{1}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{54}}\,\left(\frac{32\,{\mathrm{e}}^x}{3}+\sqrt{\frac{1}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{54}}\,\left(384\,{\mathrm{e}}^x-\sqrt{\frac{1}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{54}}\,\left(1152\,{\mathrm{e}}^x+864\right)+192\right)+\frac{160}{3}\right)+\frac{128}{9}\right)\,\sqrt{\frac{1}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{54}}+\frac{2}{3\,\left({\mathrm{e}}^x-1\right)}","Not used",1,"log((32*exp(x))/3 + (1/18 - (3^(1/2)*1i)/54)^(1/2)*((32*exp(x))/3 - (1/18 - (3^(1/2)*1i)/54)^(1/2)*(384*exp(x) + (1/18 - (3^(1/2)*1i)/54)^(1/2)*(1152*exp(x) + 864) + 192) + 160/3) + 128/9)*(1/18 - (3^(1/2)*1i)/54)^(1/2) + log((32*exp(x))/3 + ((3^(1/2)*1i)/54 + 1/18)^(1/2)*((32*exp(x))/3 - ((3^(1/2)*1i)/54 + 1/18)^(1/2)*(384*exp(x) + ((3^(1/2)*1i)/54 + 1/18)^(1/2)*(1152*exp(x) + 864) + 192) + 160/3) + 128/9)*((3^(1/2)*1i)/54 + 1/18)^(1/2) - log((32*exp(x))/3 - (1/18 - (3^(1/2)*1i)/54)^(1/2)*((32*exp(x))/3 + (1/18 - (3^(1/2)*1i)/54)^(1/2)*(384*exp(x) - (1/18 - (3^(1/2)*1i)/54)^(1/2)*(1152*exp(x) + 864) + 192) + 160/3) + 128/9)*(1/18 - (3^(1/2)*1i)/54)^(1/2) - log((32*exp(x))/3 - ((3^(1/2)*1i)/54 + 1/18)^(1/2)*((32*exp(x))/3 + ((3^(1/2)*1i)/54 + 1/18)^(1/2)*(384*exp(x) - ((3^(1/2)*1i)/54 + 1/18)^(1/2)*(1152*exp(x) + 864) + 192) + 160/3) + 128/9)*((3^(1/2)*1i)/54 + 1/18)^(1/2) + 2/(3*(exp(x) - 1))","B"
60,1,1563,361,7.552825,"\text{Not used}","int(1/(a + b*cosh(x)^4),x)","\ln\left(\frac{524288\,\left(1024\,a^3\,{\mathrm{e}}^{2\,x}-35\,b^3\,{\mathrm{e}}^{2\,x}+185\,a\,b^2+464\,a^2\,b+256\,a^3-24\,b^3+988\,a\,b^2\,{\mathrm{e}}^{2\,x}+2048\,a^2\,b\,{\mathrm{e}}^{2\,x}\right)}{a\,b^6\,{\left(a+b\right)}^2}-\frac{\left(\frac{\left(\frac{4194304\,\left(253\,a\,b^3-b^4\,{\mathrm{e}}^{2\,x}+1184\,a^3\,b+512\,a^4-b^4+930\,a^2\,b^2+1392\,a^2\,b^2\,{\mathrm{e}}^{2\,x}+627\,a\,b^3\,{\mathrm{e}}^{2\,x}+768\,a^3\,b\,{\mathrm{e}}^{2\,x}\right)}{b^6\,{\left(a+b\right)}^2}+\frac{8388608\,a\,\sqrt{\frac{a^2+\sqrt{-a^3\,b}}{a^3\,\left(a+b\right)}}\,\left(512\,a^3\,{\mathrm{e}}^{2\,x}-6\,b^3\,{\mathrm{e}}^{2\,x}+181\,a\,b^2+432\,a^2\,b+256\,a^3-5\,b^3+622\,a\,b^2\,{\mathrm{e}}^{2\,x}+1152\,a^2\,b\,{\mathrm{e}}^{2\,x}\right)}{b^6\,\left(a+b\right)}\right)\,\sqrt{\frac{a^2+\sqrt{-a^3\,b}}{a^3\,\left(a+b\right)}}}{4}-\frac{2097152\,\left(176\,a\,b+1536\,a^2\,{\mathrm{e}}^{2\,x}-134\,b^2\,{\mathrm{e}}^{2\,x}+256\,a^2-75\,b^2+1408\,a\,b\,{\mathrm{e}}^{2\,x}\right)}{b^6\,\left(a+b\right)}\right)\,\sqrt{\frac{a^2+\sqrt{-a^3\,b}}{a^3\,\left(a+b\right)}}}{4}\right)\,\sqrt{\frac{a^2+\sqrt{-a^3\,b}}{16\,\left(a^4+b\,a^3\right)}}-\ln\left(\frac{524288\,\left(1024\,a^3\,{\mathrm{e}}^{2\,x}-35\,b^3\,{\mathrm{e}}^{2\,x}+185\,a\,b^2+464\,a^2\,b+256\,a^3-24\,b^3+988\,a\,b^2\,{\mathrm{e}}^{2\,x}+2048\,a^2\,b\,{\mathrm{e}}^{2\,x}\right)}{a\,b^6\,{\left(a+b\right)}^2}-\frac{\left(\frac{\left(\frac{4194304\,\left(253\,a\,b^3-b^4\,{\mathrm{e}}^{2\,x}+1184\,a^3\,b+512\,a^4-b^4+930\,a^2\,b^2+1392\,a^2\,b^2\,{\mathrm{e}}^{2\,x}+627\,a\,b^3\,{\mathrm{e}}^{2\,x}+768\,a^3\,b\,{\mathrm{e}}^{2\,x}\right)}{b^6\,{\left(a+b\right)}^2}-\frac{8388608\,a\,\sqrt{\frac{a^2+\sqrt{-a^3\,b}}{a^3\,\left(a+b\right)}}\,\left(512\,a^3\,{\mathrm{e}}^{2\,x}-6\,b^3\,{\mathrm{e}}^{2\,x}+181\,a\,b^2+432\,a^2\,b+256\,a^3-5\,b^3+622\,a\,b^2\,{\mathrm{e}}^{2\,x}+1152\,a^2\,b\,{\mathrm{e}}^{2\,x}\right)}{b^6\,\left(a+b\right)}\right)\,\sqrt{\frac{a^2+\sqrt{-a^3\,b}}{a^3\,\left(a+b\right)}}}{4}+\frac{2097152\,\left(176\,a\,b+1536\,a^2\,{\mathrm{e}}^{2\,x}-134\,b^2\,{\mathrm{e}}^{2\,x}+256\,a^2-75\,b^2+1408\,a\,b\,{\mathrm{e}}^{2\,x}\right)}{b^6\,\left(a+b\right)}\right)\,\sqrt{\frac{a^2+\sqrt{-a^3\,b}}{a^3\,\left(a+b\right)}}}{4}\right)\,\sqrt{\frac{a^2+\sqrt{-a^3\,b}}{16\,\left(a^4+b\,a^3\right)}}-\ln\left(\frac{524288\,\left(1024\,a^3\,{\mathrm{e}}^{2\,x}-35\,b^3\,{\mathrm{e}}^{2\,x}+185\,a\,b^2+464\,a^2\,b+256\,a^3-24\,b^3+988\,a\,b^2\,{\mathrm{e}}^{2\,x}+2048\,a^2\,b\,{\mathrm{e}}^{2\,x}\right)}{a\,b^6\,{\left(a+b\right)}^2}-\frac{\left(\frac{\left(\frac{4194304\,\left(253\,a\,b^3-b^4\,{\mathrm{e}}^{2\,x}+1184\,a^3\,b+512\,a^4-b^4+930\,a^2\,b^2+1392\,a^2\,b^2\,{\mathrm{e}}^{2\,x}+627\,a\,b^3\,{\mathrm{e}}^{2\,x}+768\,a^3\,b\,{\mathrm{e}}^{2\,x}\right)}{b^6\,{\left(a+b\right)}^2}-\frac{8388608\,a\,\sqrt{\frac{a^2-\sqrt{-a^3\,b}}{a^3\,\left(a+b\right)}}\,\left(512\,a^3\,{\mathrm{e}}^{2\,x}-6\,b^3\,{\mathrm{e}}^{2\,x}+181\,a\,b^2+432\,a^2\,b+256\,a^3-5\,b^3+622\,a\,b^2\,{\mathrm{e}}^{2\,x}+1152\,a^2\,b\,{\mathrm{e}}^{2\,x}\right)}{b^6\,\left(a+b\right)}\right)\,\sqrt{\frac{a^2-\sqrt{-a^3\,b}}{a^3\,\left(a+b\right)}}}{4}+\frac{2097152\,\left(176\,a\,b+1536\,a^2\,{\mathrm{e}}^{2\,x}-134\,b^2\,{\mathrm{e}}^{2\,x}+256\,a^2-75\,b^2+1408\,a\,b\,{\mathrm{e}}^{2\,x}\right)}{b^6\,\left(a+b\right)}\right)\,\sqrt{\frac{a^2-\sqrt{-a^3\,b}}{a^3\,\left(a+b\right)}}}{4}\right)\,\sqrt{\frac{a^2-\sqrt{-a^3\,b}}{16\,\left(a^4+b\,a^3\right)}}+\ln\left(\frac{524288\,\left(1024\,a^3\,{\mathrm{e}}^{2\,x}-35\,b^3\,{\mathrm{e}}^{2\,x}+185\,a\,b^2+464\,a^2\,b+256\,a^3-24\,b^3+988\,a\,b^2\,{\mathrm{e}}^{2\,x}+2048\,a^2\,b\,{\mathrm{e}}^{2\,x}\right)}{a\,b^6\,{\left(a+b\right)}^2}-\frac{\left(\frac{\left(\frac{4194304\,\left(253\,a\,b^3-b^4\,{\mathrm{e}}^{2\,x}+1184\,a^3\,b+512\,a^4-b^4+930\,a^2\,b^2+1392\,a^2\,b^2\,{\mathrm{e}}^{2\,x}+627\,a\,b^3\,{\mathrm{e}}^{2\,x}+768\,a^3\,b\,{\mathrm{e}}^{2\,x}\right)}{b^6\,{\left(a+b\right)}^2}+\frac{8388608\,a\,\sqrt{\frac{a^2-\sqrt{-a^3\,b}}{a^3\,\left(a+b\right)}}\,\left(512\,a^3\,{\mathrm{e}}^{2\,x}-6\,b^3\,{\mathrm{e}}^{2\,x}+181\,a\,b^2+432\,a^2\,b+256\,a^3-5\,b^3+622\,a\,b^2\,{\mathrm{e}}^{2\,x}+1152\,a^2\,b\,{\mathrm{e}}^{2\,x}\right)}{b^6\,\left(a+b\right)}\right)\,\sqrt{\frac{a^2-\sqrt{-a^3\,b}}{a^3\,\left(a+b\right)}}}{4}-\frac{2097152\,\left(176\,a\,b+1536\,a^2\,{\mathrm{e}}^{2\,x}-134\,b^2\,{\mathrm{e}}^{2\,x}+256\,a^2-75\,b^2+1408\,a\,b\,{\mathrm{e}}^{2\,x}\right)}{b^6\,\left(a+b\right)}\right)\,\sqrt{\frac{a^2-\sqrt{-a^3\,b}}{a^3\,\left(a+b\right)}}}{4}\right)\,\sqrt{\frac{a^2-\sqrt{-a^3\,b}}{16\,\left(a^4+b\,a^3\right)}}","Not used",1,"log((524288*(1024*a^3*exp(2*x) - 35*b^3*exp(2*x) + 185*a*b^2 + 464*a^2*b + 256*a^3 - 24*b^3 + 988*a*b^2*exp(2*x) + 2048*a^2*b*exp(2*x)))/(a*b^6*(a + b)^2) - (((((4194304*(253*a*b^3 - b^4*exp(2*x) + 1184*a^3*b + 512*a^4 - b^4 + 930*a^2*b^2 + 1392*a^2*b^2*exp(2*x) + 627*a*b^3*exp(2*x) + 768*a^3*b*exp(2*x)))/(b^6*(a + b)^2) + (8388608*a*((a^2 + (-a^3*b)^(1/2))/(a^3*(a + b)))^(1/2)*(512*a^3*exp(2*x) - 6*b^3*exp(2*x) + 181*a*b^2 + 432*a^2*b + 256*a^3 - 5*b^3 + 622*a*b^2*exp(2*x) + 1152*a^2*b*exp(2*x)))/(b^6*(a + b)))*((a^2 + (-a^3*b)^(1/2))/(a^3*(a + b)))^(1/2))/4 - (2097152*(176*a*b + 1536*a^2*exp(2*x) - 134*b^2*exp(2*x) + 256*a^2 - 75*b^2 + 1408*a*b*exp(2*x)))/(b^6*(a + b)))*((a^2 + (-a^3*b)^(1/2))/(a^3*(a + b)))^(1/2))/4)*((a^2 + (-a^3*b)^(1/2))/(16*(a^3*b + a^4)))^(1/2) - log((524288*(1024*a^3*exp(2*x) - 35*b^3*exp(2*x) + 185*a*b^2 + 464*a^2*b + 256*a^3 - 24*b^3 + 988*a*b^2*exp(2*x) + 2048*a^2*b*exp(2*x)))/(a*b^6*(a + b)^2) - (((((4194304*(253*a*b^3 - b^4*exp(2*x) + 1184*a^3*b + 512*a^4 - b^4 + 930*a^2*b^2 + 1392*a^2*b^2*exp(2*x) + 627*a*b^3*exp(2*x) + 768*a^3*b*exp(2*x)))/(b^6*(a + b)^2) - (8388608*a*((a^2 + (-a^3*b)^(1/2))/(a^3*(a + b)))^(1/2)*(512*a^3*exp(2*x) - 6*b^3*exp(2*x) + 181*a*b^2 + 432*a^2*b + 256*a^3 - 5*b^3 + 622*a*b^2*exp(2*x) + 1152*a^2*b*exp(2*x)))/(b^6*(a + b)))*((a^2 + (-a^3*b)^(1/2))/(a^3*(a + b)))^(1/2))/4 + (2097152*(176*a*b + 1536*a^2*exp(2*x) - 134*b^2*exp(2*x) + 256*a^2 - 75*b^2 + 1408*a*b*exp(2*x)))/(b^6*(a + b)))*((a^2 + (-a^3*b)^(1/2))/(a^3*(a + b)))^(1/2))/4)*((a^2 + (-a^3*b)^(1/2))/(16*(a^3*b + a^4)))^(1/2) - log((524288*(1024*a^3*exp(2*x) - 35*b^3*exp(2*x) + 185*a*b^2 + 464*a^2*b + 256*a^3 - 24*b^3 + 988*a*b^2*exp(2*x) + 2048*a^2*b*exp(2*x)))/(a*b^6*(a + b)^2) - (((((4194304*(253*a*b^3 - b^4*exp(2*x) + 1184*a^3*b + 512*a^4 - b^4 + 930*a^2*b^2 + 1392*a^2*b^2*exp(2*x) + 627*a*b^3*exp(2*x) + 768*a^3*b*exp(2*x)))/(b^6*(a + b)^2) - (8388608*a*((a^2 - (-a^3*b)^(1/2))/(a^3*(a + b)))^(1/2)*(512*a^3*exp(2*x) - 6*b^3*exp(2*x) + 181*a*b^2 + 432*a^2*b + 256*a^3 - 5*b^3 + 622*a*b^2*exp(2*x) + 1152*a^2*b*exp(2*x)))/(b^6*(a + b)))*((a^2 - (-a^3*b)^(1/2))/(a^3*(a + b)))^(1/2))/4 + (2097152*(176*a*b + 1536*a^2*exp(2*x) - 134*b^2*exp(2*x) + 256*a^2 - 75*b^2 + 1408*a*b*exp(2*x)))/(b^6*(a + b)))*((a^2 - (-a^3*b)^(1/2))/(a^3*(a + b)))^(1/2))/4)*((a^2 - (-a^3*b)^(1/2))/(16*(a^3*b + a^4)))^(1/2) + log((524288*(1024*a^3*exp(2*x) - 35*b^3*exp(2*x) + 185*a*b^2 + 464*a^2*b + 256*a^3 - 24*b^3 + 988*a*b^2*exp(2*x) + 2048*a^2*b*exp(2*x)))/(a*b^6*(a + b)^2) - (((((4194304*(253*a*b^3 - b^4*exp(2*x) + 1184*a^3*b + 512*a^4 - b^4 + 930*a^2*b^2 + 1392*a^2*b^2*exp(2*x) + 627*a*b^3*exp(2*x) + 768*a^3*b*exp(2*x)))/(b^6*(a + b)^2) + (8388608*a*((a^2 - (-a^3*b)^(1/2))/(a^3*(a + b)))^(1/2)*(512*a^3*exp(2*x) - 6*b^3*exp(2*x) + 181*a*b^2 + 432*a^2*b + 256*a^3 - 5*b^3 + 622*a*b^2*exp(2*x) + 1152*a^2*b*exp(2*x)))/(b^6*(a + b)))*((a^2 - (-a^3*b)^(1/2))/(a^3*(a + b)))^(1/2))/4 - (2097152*(176*a*b + 1536*a^2*exp(2*x) - 134*b^2*exp(2*x) + 256*a^2 - 75*b^2 + 1408*a*b*exp(2*x)))/(b^6*(a + b)))*((a^2 - (-a^3*b)^(1/2))/(a^3*(a + b)))^(1/2))/4)*((a^2 - (-a^3*b)^(1/2))/(16*(a^3*b + a^4)))^(1/2)","B"
61,1,1487,101,8.900762,"\text{Not used}","int(1/(a - b*cosh(x)^4),x)","\ln\left(\frac{\left(\frac{\sqrt{\frac{1}{a^2-\sqrt{a^3\,b}}}\,\left(\frac{4194304\,\left(b^4\,{\mathrm{e}}^{2\,x}+253\,a\,b^3+1184\,a^3\,b-512\,a^4+b^4-930\,a^2\,b^2-1392\,a^2\,b^2\,{\mathrm{e}}^{2\,x}+627\,a\,b^3\,{\mathrm{e}}^{2\,x}+768\,a^3\,b\,{\mathrm{e}}^{2\,x}\right)}{b^6\,{\left(a-b\right)}^2}-\frac{8388608\,a\,\sqrt{\frac{1}{a^2-\sqrt{a^3\,b}}}\,\left(512\,a^3\,{\mathrm{e}}^{2\,x}+6\,b^3\,{\mathrm{e}}^{2\,x}+181\,a\,b^2-432\,a^2\,b+256\,a^3+5\,b^3+622\,a\,b^2\,{\mathrm{e}}^{2\,x}-1152\,a^2\,b\,{\mathrm{e}}^{2\,x}\right)}{b^6\,\left(a-b\right)}\right)}{4}-\frac{2097152\,\left(176\,a\,b-1536\,a^2\,{\mathrm{e}}^{2\,x}+134\,b^2\,{\mathrm{e}}^{2\,x}-256\,a^2+75\,b^2+1408\,a\,b\,{\mathrm{e}}^{2\,x}\right)}{b^6\,\left(a-b\right)}\right)\,\sqrt{\frac{1}{a^2-\sqrt{a^3\,b}}}}{4}+\frac{524288\,\left(1024\,a^3\,{\mathrm{e}}^{2\,x}+35\,b^3\,{\mathrm{e}}^{2\,x}+185\,a\,b^2-464\,a^2\,b+256\,a^3+24\,b^3+988\,a\,b^2\,{\mathrm{e}}^{2\,x}-2048\,a^2\,b\,{\mathrm{e}}^{2\,x}\right)}{a\,b^6\,{\left(a-b\right)}^2}\right)\,\sqrt{-\frac{a^2+\sqrt{a^3\,b}}{16\,\left(a^3\,b-a^4\right)}}-\ln\left(\frac{\left(\frac{\sqrt{\frac{1}{a^2-\sqrt{a^3\,b}}}\,\left(\frac{4194304\,\left(b^4\,{\mathrm{e}}^{2\,x}+253\,a\,b^3+1184\,a^3\,b-512\,a^4+b^4-930\,a^2\,b^2-1392\,a^2\,b^2\,{\mathrm{e}}^{2\,x}+627\,a\,b^3\,{\mathrm{e}}^{2\,x}+768\,a^3\,b\,{\mathrm{e}}^{2\,x}\right)}{b^6\,{\left(a-b\right)}^2}+\frac{8388608\,a\,\sqrt{\frac{1}{a^2-\sqrt{a^3\,b}}}\,\left(512\,a^3\,{\mathrm{e}}^{2\,x}+6\,b^3\,{\mathrm{e}}^{2\,x}+181\,a\,b^2-432\,a^2\,b+256\,a^3+5\,b^3+622\,a\,b^2\,{\mathrm{e}}^{2\,x}-1152\,a^2\,b\,{\mathrm{e}}^{2\,x}\right)}{b^6\,\left(a-b\right)}\right)}{4}+\frac{2097152\,\left(176\,a\,b-1536\,a^2\,{\mathrm{e}}^{2\,x}+134\,b^2\,{\mathrm{e}}^{2\,x}-256\,a^2+75\,b^2+1408\,a\,b\,{\mathrm{e}}^{2\,x}\right)}{b^6\,\left(a-b\right)}\right)\,\sqrt{\frac{1}{a^2-\sqrt{a^3\,b}}}}{4}+\frac{524288\,\left(1024\,a^3\,{\mathrm{e}}^{2\,x}+35\,b^3\,{\mathrm{e}}^{2\,x}+185\,a\,b^2-464\,a^2\,b+256\,a^3+24\,b^3+988\,a\,b^2\,{\mathrm{e}}^{2\,x}-2048\,a^2\,b\,{\mathrm{e}}^{2\,x}\right)}{a\,b^6\,{\left(a-b\right)}^2}\right)\,\sqrt{-\frac{a^2+\sqrt{a^3\,b}}{16\,\left(a^3\,b-a^4\right)}}+\ln\left(\frac{\sqrt{\frac{1}{a^2+\sqrt{a^3\,b}}}\,\left(\frac{\sqrt{\frac{1}{a^2+\sqrt{a^3\,b}}}\,\left(\frac{4194304\,\left(b^4\,{\mathrm{e}}^{2\,x}+253\,a\,b^3+1184\,a^3\,b-512\,a^4+b^4-930\,a^2\,b^2-1392\,a^2\,b^2\,{\mathrm{e}}^{2\,x}+627\,a\,b^3\,{\mathrm{e}}^{2\,x}+768\,a^3\,b\,{\mathrm{e}}^{2\,x}\right)}{b^6\,{\left(a-b\right)}^2}-\frac{8388608\,a\,\sqrt{\frac{1}{a^2+\sqrt{a^3\,b}}}\,\left(512\,a^3\,{\mathrm{e}}^{2\,x}+6\,b^3\,{\mathrm{e}}^{2\,x}+181\,a\,b^2-432\,a^2\,b+256\,a^3+5\,b^3+622\,a\,b^2\,{\mathrm{e}}^{2\,x}-1152\,a^2\,b\,{\mathrm{e}}^{2\,x}\right)}{b^6\,\left(a-b\right)}\right)}{4}-\frac{2097152\,\left(176\,a\,b-1536\,a^2\,{\mathrm{e}}^{2\,x}+134\,b^2\,{\mathrm{e}}^{2\,x}-256\,a^2+75\,b^2+1408\,a\,b\,{\mathrm{e}}^{2\,x}\right)}{b^6\,\left(a-b\right)}\right)}{4}+\frac{524288\,\left(1024\,a^3\,{\mathrm{e}}^{2\,x}+35\,b^3\,{\mathrm{e}}^{2\,x}+185\,a\,b^2-464\,a^2\,b+256\,a^3+24\,b^3+988\,a\,b^2\,{\mathrm{e}}^{2\,x}-2048\,a^2\,b\,{\mathrm{e}}^{2\,x}\right)}{a\,b^6\,{\left(a-b\right)}^2}\right)\,\sqrt{-\frac{a^2-\sqrt{a^3\,b}}{16\,\left(a^3\,b-a^4\right)}}-\ln\left(\frac{\sqrt{\frac{1}{a^2+\sqrt{a^3\,b}}}\,\left(\frac{\sqrt{\frac{1}{a^2+\sqrt{a^3\,b}}}\,\left(\frac{4194304\,\left(b^4\,{\mathrm{e}}^{2\,x}+253\,a\,b^3+1184\,a^3\,b-512\,a^4+b^4-930\,a^2\,b^2-1392\,a^2\,b^2\,{\mathrm{e}}^{2\,x}+627\,a\,b^3\,{\mathrm{e}}^{2\,x}+768\,a^3\,b\,{\mathrm{e}}^{2\,x}\right)}{b^6\,{\left(a-b\right)}^2}+\frac{8388608\,a\,\sqrt{\frac{1}{a^2+\sqrt{a^3\,b}}}\,\left(512\,a^3\,{\mathrm{e}}^{2\,x}+6\,b^3\,{\mathrm{e}}^{2\,x}+181\,a\,b^2-432\,a^2\,b+256\,a^3+5\,b^3+622\,a\,b^2\,{\mathrm{e}}^{2\,x}-1152\,a^2\,b\,{\mathrm{e}}^{2\,x}\right)}{b^6\,\left(a-b\right)}\right)}{4}+\frac{2097152\,\left(176\,a\,b-1536\,a^2\,{\mathrm{e}}^{2\,x}+134\,b^2\,{\mathrm{e}}^{2\,x}-256\,a^2+75\,b^2+1408\,a\,b\,{\mathrm{e}}^{2\,x}\right)}{b^6\,\left(a-b\right)}\right)}{4}+\frac{524288\,\left(1024\,a^3\,{\mathrm{e}}^{2\,x}+35\,b^3\,{\mathrm{e}}^{2\,x}+185\,a\,b^2-464\,a^2\,b+256\,a^3+24\,b^3+988\,a\,b^2\,{\mathrm{e}}^{2\,x}-2048\,a^2\,b\,{\mathrm{e}}^{2\,x}\right)}{a\,b^6\,{\left(a-b\right)}^2}\right)\,\sqrt{-\frac{a^2-\sqrt{a^3\,b}}{16\,\left(a^3\,b-a^4\right)}}","Not used",1,"log(((((1/(a^2 - (a^3*b)^(1/2)))^(1/2)*((4194304*(b^4*exp(2*x) + 253*a*b^3 + 1184*a^3*b - 512*a^4 + b^4 - 930*a^2*b^2 - 1392*a^2*b^2*exp(2*x) + 627*a*b^3*exp(2*x) + 768*a^3*b*exp(2*x)))/(b^6*(a - b)^2) - (8388608*a*(1/(a^2 - (a^3*b)^(1/2)))^(1/2)*(512*a^3*exp(2*x) + 6*b^3*exp(2*x) + 181*a*b^2 - 432*a^2*b + 256*a^3 + 5*b^3 + 622*a*b^2*exp(2*x) - 1152*a^2*b*exp(2*x)))/(b^6*(a - b))))/4 - (2097152*(176*a*b - 1536*a^2*exp(2*x) + 134*b^2*exp(2*x) - 256*a^2 + 75*b^2 + 1408*a*b*exp(2*x)))/(b^6*(a - b)))*(1/(a^2 - (a^3*b)^(1/2)))^(1/2))/4 + (524288*(1024*a^3*exp(2*x) + 35*b^3*exp(2*x) + 185*a*b^2 - 464*a^2*b + 256*a^3 + 24*b^3 + 988*a*b^2*exp(2*x) - 2048*a^2*b*exp(2*x)))/(a*b^6*(a - b)^2))*(-(a^2 + (a^3*b)^(1/2))/(16*(a^3*b - a^4)))^(1/2) - log(((((1/(a^2 - (a^3*b)^(1/2)))^(1/2)*((4194304*(b^4*exp(2*x) + 253*a*b^3 + 1184*a^3*b - 512*a^4 + b^4 - 930*a^2*b^2 - 1392*a^2*b^2*exp(2*x) + 627*a*b^3*exp(2*x) + 768*a^3*b*exp(2*x)))/(b^6*(a - b)^2) + (8388608*a*(1/(a^2 - (a^3*b)^(1/2)))^(1/2)*(512*a^3*exp(2*x) + 6*b^3*exp(2*x) + 181*a*b^2 - 432*a^2*b + 256*a^3 + 5*b^3 + 622*a*b^2*exp(2*x) - 1152*a^2*b*exp(2*x)))/(b^6*(a - b))))/4 + (2097152*(176*a*b - 1536*a^2*exp(2*x) + 134*b^2*exp(2*x) - 256*a^2 + 75*b^2 + 1408*a*b*exp(2*x)))/(b^6*(a - b)))*(1/(a^2 - (a^3*b)^(1/2)))^(1/2))/4 + (524288*(1024*a^3*exp(2*x) + 35*b^3*exp(2*x) + 185*a*b^2 - 464*a^2*b + 256*a^3 + 24*b^3 + 988*a*b^2*exp(2*x) - 2048*a^2*b*exp(2*x)))/(a*b^6*(a - b)^2))*(-(a^2 + (a^3*b)^(1/2))/(16*(a^3*b - a^4)))^(1/2) + log(((1/(a^2 + (a^3*b)^(1/2)))^(1/2)*(((1/(a^2 + (a^3*b)^(1/2)))^(1/2)*((4194304*(b^4*exp(2*x) + 253*a*b^3 + 1184*a^3*b - 512*a^4 + b^4 - 930*a^2*b^2 - 1392*a^2*b^2*exp(2*x) + 627*a*b^3*exp(2*x) + 768*a^3*b*exp(2*x)))/(b^6*(a - b)^2) - (8388608*a*(1/(a^2 + (a^3*b)^(1/2)))^(1/2)*(512*a^3*exp(2*x) + 6*b^3*exp(2*x) + 181*a*b^2 - 432*a^2*b + 256*a^3 + 5*b^3 + 622*a*b^2*exp(2*x) - 1152*a^2*b*exp(2*x)))/(b^6*(a - b))))/4 - (2097152*(176*a*b - 1536*a^2*exp(2*x) + 134*b^2*exp(2*x) - 256*a^2 + 75*b^2 + 1408*a*b*exp(2*x)))/(b^6*(a - b))))/4 + (524288*(1024*a^3*exp(2*x) + 35*b^3*exp(2*x) + 185*a*b^2 - 464*a^2*b + 256*a^3 + 24*b^3 + 988*a*b^2*exp(2*x) - 2048*a^2*b*exp(2*x)))/(a*b^6*(a - b)^2))*(-(a^2 - (a^3*b)^(1/2))/(16*(a^3*b - a^4)))^(1/2) - log(((1/(a^2 + (a^3*b)^(1/2)))^(1/2)*(((1/(a^2 + (a^3*b)^(1/2)))^(1/2)*((4194304*(b^4*exp(2*x) + 253*a*b^3 + 1184*a^3*b - 512*a^4 + b^4 - 930*a^2*b^2 - 1392*a^2*b^2*exp(2*x) + 627*a*b^3*exp(2*x) + 768*a^3*b*exp(2*x)))/(b^6*(a - b)^2) + (8388608*a*(1/(a^2 + (a^3*b)^(1/2)))^(1/2)*(512*a^3*exp(2*x) + 6*b^3*exp(2*x) + 181*a*b^2 - 432*a^2*b + 256*a^3 + 5*b^3 + 622*a*b^2*exp(2*x) - 1152*a^2*b*exp(2*x)))/(b^6*(a - b))))/4 + (2097152*(176*a*b - 1536*a^2*exp(2*x) + 134*b^2*exp(2*x) - 256*a^2 + 75*b^2 + 1408*a*b*exp(2*x)))/(b^6*(a - b))))/4 + (524288*(1024*a^3*exp(2*x) + 35*b^3*exp(2*x) + 185*a*b^2 - 464*a^2*b + 256*a^3 + 24*b^3 + 988*a*b^2*exp(2*x) - 2048*a^2*b*exp(2*x)))/(a*b^6*(a - b)^2))*(-(a^2 - (a^3*b)^(1/2))/(16*(a^3*b - a^4)))^(1/2)","B"
62,1,205,176,1.009814,"\text{Not used}","int(1/(cosh(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"
63,1,61,25,0.118301,"\text{Not used}","int(-1/(cosh(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(\frac{\sqrt{2}\,\left(12\,{\mathrm{e}}^{2\,x}+4\right)}{8}-2\,{\mathrm{e}}^{2\,x}\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^(1/2)*(12*exp(2*x) + 4))/8 - 2*exp(2*x)))/8 + 1/(exp(2*x) - 1)","B"
64,-1,-1,494,0.000000,"\text{Not used}","int(1/(a + b*cosh(x)^5),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
65,1,844,171,58.391788,"\text{Not used}","int(1/(a + b*cosh(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^2+b\,a\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"
66,-1,-1,245,0.000000,"\text{Not used}","int(1/(a + b*cosh(x)^8),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
67,-1,-1,494,0.000000,"\text{Not used}","int(1/(a - b*cosh(x)^5),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
68,1,855,175,57.401561,"\text{Not used}","int(1/(a - b*cosh(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"
69,-1,-1,213,0.000000,"\text{Not used}","int(1/(a - b*cosh(x)^8),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
70,-1,-1,223,0.000000,"\text{Not used}","int(1/(cosh(x)^5 + 1),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
71,1,337,83,2.554537,"\text{Not used}","int(1/(cosh(x)^6 + 1),x)","\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{\mathrm{atan}\left(\frac{6177144285775790080\,{\mathrm{e}}^{2\,x}-2167269359741829120\,\sqrt{3}+3566375915854233600\,\sqrt{3}\,{\mathrm{e}}^{2\,x}-3753820658157486080}{14009449395540459520\,{\mathrm{e}}^{2\,x}+955607545932677120\,\sqrt{3}+8088359377641144320\,\sqrt{3}\,{\mathrm{e}}^{2\,x}+1655160823988879360}\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{\pi \,\mathrm{sign}\left(x-\frac{\ln\left(\frac{24639\,\sqrt{3}+42676}{40545\,\sqrt{3}+70226}\right)}{2}\right)}{6}+\frac{\pi \,\mathrm{sign}\left(6177144285775790080\,{\mathrm{e}}^{2\,x}-2167269359741829120\,\sqrt{3}+3566375915854233600\,\sqrt{3}\,{\mathrm{e}}^{2\,x}-3753820658157486080\right)}{6}-\frac{\sqrt{2}\,\ln\left(2144322552070144000\,\sqrt{2}-17674880313941032960\,{\mathrm{e}}^{2\,x}+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(3^(1/2)*(955607545932677120 - 2167269359741829120i) - exp(2*x)*(14009449395540459520 + 6177144285775790080i) + 3^(1/2)*exp(2*x)*(8088359377641144320 + 3566375915854233600i) - (1655160823988879360 - 3753820658157486080i))*1i)/12 - (log(3^(1/2)*(955607545932677120 + 2167269359741829120i) - exp(2*x)*(14009449395540459520 - 6177144285775790080i) + 3^(1/2)*exp(2*x)*(8088359377641144320 - 3566375915854233600i) - (1655160823988879360 + 3753820658157486080i))*1i)/12 - atan((6177144285775790080*exp(2*x) - 2167269359741829120*3^(1/2) + 3566375915854233600*3^(1/2)*exp(2*x) - 3753820658157486080)/(14009449395540459520*exp(2*x) + 955607545932677120*3^(1/2) + 8088359377641144320*3^(1/2)*exp(2*x) + 1655160823988879360))/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 - (pi*sign(x - log((24639*3^(1/2) + 42676)/(40545*3^(1/2) + 70226))/2))/6 + (pi*sign(6177144285775790080*exp(2*x) - 2167269359741829120*3^(1/2) + 3566375915854233600*3^(1/2)*exp(2*x) - 3753820658157486080))/6 - (2^(1/2)*log(2144322552070144000*2^(1/2) - 17674880313941032960*exp(2*x) + 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"
72,-1,-1,129,0.000000,"\text{Not used}","int(1/(cosh(x)^8 + 1),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
73,-1,-1,205,0.000000,"\text{Not used}","int(-1/(cosh(x)^5 - 1),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
74,1,329,71,4.524081,"\text{Not used}","int(-1/(cosh(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{2539651072\,{\mathrm{e}}^{2\,x}}{9}-\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{548405248}{27}\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{2539651072\,{\mathrm{e}}^{2\,x}}{9}-\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{548405248}{27}\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{2539651072\,{\mathrm{e}}^{2\,x}}{9}+\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{548405248}{27}\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{2539651072\,{\mathrm{e}}^{2\,x}}{9}+\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{548405248}{27}\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)*((2539651072*exp(2*x))/9 - (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) + 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)*((2539651072*exp(2*x))/9 - ((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) + 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)*((2539651072*exp(2*x))/9 + (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) + 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)*((2539651072*exp(2*x))/9 + ((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) + 548405248/27) + 351797248/81)*((3^(1/2)*1i)/216 + 1/72)^(1/2) + 2/(3*(exp(2*x) - 1))","B"
75,1,271,69,2.627952,"\text{Not used}","int(-1/(cosh(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(70697326355677184\,\sqrt{2}-582732658686033920\,{\mathrm{e}}^{2\,x}+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(70836483296067584+\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)+{\mathrm{e}}^{2\,x}\,\left(-155613434002538496-429723297714798592{}\mathrm{i}\right)-69311013991743488{}\mathrm{i}\right)}{16}+\frac{\sqrt{2}\,\sqrt{1-\mathrm{i}}\,\ln\left(70836483296067584+\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)+{\mathrm{e}}^{2\,x}\,\left(-155613434002538496-429723297714798592{}\mathrm{i}\right)-69311013991743488{}\mathrm{i}\right)}{16}-\frac{\sqrt{2}\,\sqrt{1+1{}\mathrm{i}}\,\ln\left(70836483296067584+\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)+{\mathrm{e}}^{2\,x}\,\left(-155613434002538496+429723297714798592{}\mathrm{i}\right)+69311013991743488{}\mathrm{i}\right)}{16}+\frac{\sqrt{2}\,\sqrt{1+1{}\mathrm{i}}\,\ln\left(70836483296067584+\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)+{\mathrm{e}}^{2\,x}\,\left(-155613434002538496+429723297714798592{}\mathrm{i}\right)+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(70697326355677184*2^(1/2) - 582732658686033920*exp(2*x) + 412054214575915008*2^(1/2)*exp(2*x) - 99981117754441728))/16 + 1/(2*(exp(2*x) - 1)) - (2^(1/2)*(1 - 1i)^(1/2)*log((70836483296067584 - 69311013991743488i) - 2^(1/2)*(1 - 1i)^(1/2)*(54684829282729984 - 21956972328779776i) - 2^(1/2)*(1 - 1i)^(1/2)*exp(2*x)*(12296353929494528 - 271474128182050816i) - exp(2*x)*(155613434002538496 + 429723297714798592i)))/16 + (2^(1/2)*(1 - 1i)^(1/2)*log(2^(1/2)*(1 - 1i)^(1/2)*(54684829282729984 - 21956972328779776i) - exp(2*x)*(155613434002538496 + 429723297714798592i) + 2^(1/2)*(1 - 1i)^(1/2)*exp(2*x)*(12296353929494528 - 271474128182050816i) + (70836483296067584 - 69311013991743488i)))/16 - (2^(1/2)*(1 + 1i)^(1/2)*log((70836483296067584 + 69311013991743488i) - 2^(1/2)*(1 + 1i)^(1/2)*(54684829282729984 + 21956972328779776i) - 2^(1/2)*(1 + 1i)^(1/2)*exp(2*x)*(12296353929494528 + 271474128182050816i) - exp(2*x)*(155613434002538496 - 429723297714798592i)))/16 + (2^(1/2)*(1 + 1i)^(1/2)*log(2^(1/2)*(1 + 1i)^(1/2)*(54684829282729984 + 21956972328779776i) - exp(2*x)*(155613434002538496 - 429723297714798592i) + 2^(1/2)*(1 + 1i)^(1/2)*exp(2*x)*(12296353929494528 + 271474128182050816i) + (70836483296067584 + 69311013991743488i)))/16","B"
76,1,27,15,1.112423,"\text{Not used}","int(tanh(x)/(cosh(x)^2 + 1),x)","\ln\left(-5184\,{\mathrm{e}}^{2\,x}-5184\right)-\frac{\ln\left(54\,{\mathrm{e}}^{2\,x}+9\,{\mathrm{e}}^{4\,x}+9\right)}{2}","Not used",1,"log(- 5184*exp(2*x) - 5184) - log(54*exp(2*x) + 9*exp(4*x) + 9)/2","B"
77,0,-1,39,0.000000,"\text{Not used}","int(tanh(x)*(a + b*cosh(x)^2)^(1/2),x)","\int \mathrm{tanh}\left(x\right)\,\sqrt{b\,{\mathrm{cosh}\left(x\right)}^2+a} \,d x","Not used",1,"int(tanh(x)*(a + b*cosh(x)^2)^(1/2), x)","F"
78,0,-1,26,0.000000,"\text{Not used}","int(tanh(x)/(a + b*cosh(x)^2)^(1/2),x)","\int \frac{\mathrm{tanh}\left(x\right)}{\sqrt{b\,{\mathrm{cosh}\left(x\right)}^2+a}} \,d x","Not used",1,"int(tanh(x)/(a + b*cosh(x)^2)^(1/2), x)","F"
79,0,-1,13,0.000000,"\text{Not used}","int(tanh(x)/(cosh(x)^2 + 1)^(1/2),x)","\int \frac{\mathrm{tanh}\left(x\right)}{\sqrt{{\mathrm{cosh}\left(x\right)}^2+1}} \,d x","Not used",1,"int(tanh(x)/(cosh(x)^2 + 1)^(1/2), x)","F"
80,0,-1,13,0.000000,"\text{Not used}","int(tanh(x)/(1 - cosh(x)^2)^(1/2),x)","\int \frac{\mathrm{tanh}\left(x\right)}{\sqrt{1-{\mathrm{cosh}\left(x\right)}^2}} \,d x","Not used",1,"int(tanh(x)/(1 - cosh(x)^2)^(1/2), x)","F"
81,1,1173,153,0.915067,"\text{Not used}","int(tanh(x)^3/(a + b*cosh(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+a^2-b^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+a^2-b^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+a^2-b^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+a^2-b^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+a^2-b^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+a^2-b^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+a^2-b^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+a^2-b^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+a^2-b^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+a^2-b^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+a^2-b^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+a^2-b^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+a^2-b^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+a^2-b^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+a^2-b^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+a^2-b^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+a^2-b^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+a^2-b^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+a^2-b^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+a^2-b^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+a^2-b^2,z,k\right)}^3\,a^7\,b^2\,{\mathrm{e}}^{2\,x}\,1370750976}{a^6\,b^6\,3}\right)\,\mathrm{root}\left(27\,a^5\,z^3+27\,a^4\,z^2+9\,a^3\,z+a^2-b^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 + a^2 - b^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 + a^2 - b^2, z, k)^2*a^8 + 1358954496*root(27*a^5*z^3 + 27*a^4*z^2 + 9*a^3*z + a^2 - b^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 + a^2 - b^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 + a^2 - b^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 + a^2 - b^2, z, k)*a^3*b^4 - 465305600*root(27*a^5*z^3 + 27*a^4*z^2 + 9*a^3*z + a^2 - b^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 + a^2 - b^2, z, k)^2*a^4*b^4 - 1383333888*root(27*a^5*z^3 + 27*a^4*z^2 + 9*a^3*z + a^2 - b^2, z, k)^2*a^6*b^2 + 18874368*root(27*a^5*z^3 + 27*a^4*z^2 + 9*a^3*z + a^2 - b^2, z, k)^3*a^5*b^4 - 1370750976*root(27*a^5*z^3 + 27*a^4*z^2 + 9*a^3*z + a^2 - b^2, z, k)^3*a^7*b^2 + 452984832*root(27*a^5*z^3 + 27*a^4*z^2 + 9*a^3*z + a^2 - b^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 + a^2 - b^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 + a^2 - b^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 + a^2 - b^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 + a^2 - b^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 + a^2 - b^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 + a^2 - b^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 + a^2 - b^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 + a^2 - b^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 + a^2 - b^2, z, k)^3*a^7*b^2*exp(2*x))/(3*a^6*b^6))*root(27*a^5*z^3 + 27*a^4*z^2 + 9*a^3*z + a^2 - b^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"
82,0,-1,28,0.000000,"\text{Not used}","int(tanh(x)/(a + b*cosh(x)^3)^(1/2),x)","\int \frac{\mathrm{tanh}\left(x\right)}{\sqrt{b\,{\mathrm{cosh}\left(x\right)}^3+a}} \,d x","Not used",1,"int(tanh(x)/(a + b*cosh(x)^3)^(1/2), x)","F"
83,0,-1,45,0.000000,"\text{Not used}","int(tanh(x)*(a + b*cosh(x)^3)^(1/2),x)","\int \mathrm{tanh}\left(x\right)\,\sqrt{b\,{\mathrm{cosh}\left(x\right)}^3+a} \,d x","Not used",1,"int(tanh(x)*(a + b*cosh(x)^3)^(1/2), x)","F"
84,0,-1,29,0.000000,"\text{Not used}","int(tanh(x)/(a + b*cosh(x)^n)^(1/2),x)","\int \frac{\mathrm{tanh}\left(x\right)}{\sqrt{a+b\,{\mathrm{cosh}\left(x\right)}^n}} \,d x","Not used",1,"int(tanh(x)/(a + b*cosh(x)^n)^(1/2), x)","F"
85,0,-1,47,0.000000,"\text{Not used}","int(tanh(x)*(a + b*cosh(x)^n)^(1/2),x)","\int \mathrm{tanh}\left(x\right)\,\sqrt{a+b\,{\mathrm{cosh}\left(x\right)}^n} \,d x","Not used",1,"int(tanh(x)*(a + b*cosh(x)^n)^(1/2), x)","F"