1,1,10,10,0.045487,"\text{Not used}","int(cosh(a + b*x),x)","\frac{\mathrm{sinh}\left(a+b\,x\right)}{b}","Not used",1,"sinh(a + b*x)/b","B"
2,1,18,25,0.881707,"\text{Not used}","int(cosh(a + b*x)^2,x)","\frac{x}{2}+\frac{\mathrm{sinh}\left(2\,a+2\,b\,x\right)}{4\,b}","Not used",1,"x/2 + sinh(2*a + 2*b*x)/(4*b)","B"
3,1,22,26,0.885473,"\text{Not used}","int(cosh(a + b*x)^3,x)","\frac{{\mathrm{sinh}\left(a+b\,x\right)}^3+3\,\mathrm{sinh}\left(a+b\,x\right)}{3\,b}","Not used",1,"(3*sinh(a + b*x) + sinh(a + b*x)^3)/(3*b)","B"
4,1,31,46,0.082625,"\text{Not used}","int(cosh(a + b*x)^4,x)","\frac{3\,x}{8}+\frac{\frac{\mathrm{sinh}\left(2\,a+2\,b\,x\right)}{4}+\frac{\mathrm{sinh}\left(4\,a+4\,b\,x\right)}{32}}{b}","Not used",1,"(3*x)/8 + (sinh(2*a + 2*b*x)/4 + sinh(4*a + 4*b*x)/32)/b","B"
5,1,31,41,0.918461,"\text{Not used}","int(cosh(a + b*x)^5,x)","\frac{\frac{{\mathrm{sinh}\left(a+b\,x\right)}^5}{5}+\frac{2\,{\mathrm{sinh}\left(a+b\,x\right)}^3}{3}+\mathrm{sinh}\left(a+b\,x\right)}{b}","Not used",1,"(sinh(a + b*x) + (2*sinh(a + b*x)^3)/3 + sinh(a + b*x)^5/5)/b","B"
6,1,42,67,0.965629,"\text{Not used}","int(cosh(a + b*x)^6,x)","\frac{5\,x}{16}+\frac{\frac{15\,\mathrm{sinh}\left(2\,a+2\,b\,x\right)}{64}+\frac{3\,\mathrm{sinh}\left(4\,a+4\,b\,x\right)}{64}+\frac{\mathrm{sinh}\left(6\,a+6\,b\,x\right)}{192}}{b}","Not used",1,"(5*x)/16 + ((15*sinh(2*a + 2*b*x))/64 + (3*sinh(4*a + 4*b*x))/64 + sinh(6*a + 6*b*x)/192)/b","B"
7,0,-1,69,0.000000,"\text{Not used}","int(cosh(a + b*x)^(7/2),x)","\int {\mathrm{cosh}\left(a+b\,x\right)}^{7/2} \,d x","Not used",1,"int(cosh(a + b*x)^(7/2), x)","F"
8,0,-1,46,0.000000,"\text{Not used}","int(cosh(a + b*x)^(5/2),x)","\int {\mathrm{cosh}\left(a+b\,x\right)}^{5/2} \,d x","Not used",1,"int(cosh(a + b*x)^(5/2), x)","F"
9,0,-1,46,0.000000,"\text{Not used}","int(cosh(a + b*x)^(3/2),x)","\int {\mathrm{cosh}\left(a+b\,x\right)}^{3/2} \,d x","Not used",1,"int(cosh(a + b*x)^(3/2), x)","F"
10,0,-1,20,0.000000,"\text{Not used}","int(cosh(a + b*x)^(1/2),x)","\int \sqrt{\mathrm{cosh}\left(a+b\,x\right)} \,d x","Not used",1,"int(cosh(a + b*x)^(1/2), x)","F"
11,0,-1,20,0.000000,"\text{Not used}","int(1/cosh(a + b*x)^(1/2),x)","\int \frac{1}{\sqrt{\mathrm{cosh}\left(a+b\,x\right)}} \,d x","Not used",1,"int(1/cosh(a + b*x)^(1/2), x)","F"
12,0,-1,42,0.000000,"\text{Not used}","int(1/cosh(a + b*x)^(3/2),x)","\int \frac{1}{{\mathrm{cosh}\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int(1/cosh(a + b*x)^(3/2), x)","F"
13,0,-1,46,0.000000,"\text{Not used}","int(1/cosh(a + b*x)^(5/2),x)","\int \frac{1}{{\mathrm{cosh}\left(a+b\,x\right)}^{5/2}} \,d x","Not used",1,"int(1/cosh(a + b*x)^(5/2), x)","F"
14,0,-1,69,0.000000,"\text{Not used}","int(1/cosh(a + b*x)^(7/2),x)","\int \frac{1}{{\mathrm{cosh}\left(a+b\,x\right)}^{7/2}} \,d x","Not used",1,"int(1/cosh(a + b*x)^(7/2), x)","F"
15,0,-1,65,0.000000,"\text{Not used}","int((a*cosh(x))^(7/2),x)","\int {\left(a\,\mathrm{cosh}\left(x\right)\right)}^{7/2} \,d x","Not used",1,"int((a*cosh(x))^(7/2), x)","F"
16,0,-1,48,0.000000,"\text{Not used}","int((a*cosh(x))^(5/2),x)","\int {\left(a\,\mathrm{cosh}\left(x\right)\right)}^{5/2} \,d x","Not used",1,"int((a*cosh(x))^(5/2), x)","F"
17,0,-1,48,0.000000,"\text{Not used}","int((a*cosh(x))^(3/2),x)","\int {\left(a\,\mathrm{cosh}\left(x\right)\right)}^{3/2} \,d x","Not used",1,"int((a*cosh(x))^(3/2), x)","F"
18,0,-1,27,0.000000,"\text{Not used}","int((a*cosh(x))^(1/2),x)","\int \sqrt{a\,\mathrm{cosh}\left(x\right)} \,d x","Not used",1,"int((a*cosh(x))^(1/2), x)","F"
19,0,-1,27,0.000000,"\text{Not used}","int(1/(a*cosh(x))^(1/2),x)","\int \frac{1}{\sqrt{a\,\mathrm{cosh}\left(x\right)}} \,d x","Not used",1,"int(1/(a*cosh(x))^(1/2), x)","F"
20,0,-1,46,0.000000,"\text{Not used}","int(1/(a*cosh(x))^(3/2),x)","\int \frac{1}{{\left(a\,\mathrm{cosh}\left(x\right)\right)}^{3/2}} \,d x","Not used",1,"int(1/(a*cosh(x))^(3/2), x)","F"
21,0,-1,50,0.000000,"\text{Not used}","int(1/(a*cosh(x))^(5/2),x)","\int \frac{1}{{\left(a\,\mathrm{cosh}\left(x\right)\right)}^{5/2}} \,d x","Not used",1,"int(1/(a*cosh(x))^(5/2), x)","F"
22,0,-1,67,0.000000,"\text{Not used}","int(1/(a*cosh(x))^(7/2),x)","\int \frac{1}{{\left(a\,\mathrm{cosh}\left(x\right)\right)}^{7/2}} \,d x","Not used",1,"int(1/(a*cosh(x))^(7/2), x)","F"
23,0,-1,71,0.000000,"\text{Not used}","int((b*cosh(c + d*x))^n,x)","\int {\left(b\,\mathrm{cosh}\left(c+d\,x\right)\right)}^n \,d x","Not used",1,"int((b*cosh(c + d*x))^n, x)","F"
24,1,70,54,0.960832,"\text{Not used}","int(cosh(x)^4/(a + a*cosh(x)),x)","\frac{{\mathrm{e}}^{-2\,x}}{8\,a}-\frac{7\,{\mathrm{e}}^{-x}}{8\,a}-\frac{{\mathrm{e}}^{2\,x}}{8\,a}-\frac{{\mathrm{e}}^{-3\,x}}{24\,a}+\frac{{\mathrm{e}}^{3\,x}}{24\,a}-\frac{3\,x}{2\,a}-\frac{2}{a\,\left({\mathrm{e}}^x+1\right)}+\frac{7\,{\mathrm{e}}^x}{8\,a}","Not used",1,"exp(-2*x)/(8*a) - (7*exp(-x))/(8*a) - exp(2*x)/(8*a) - exp(-3*x)/(24*a) + exp(3*x)/(24*a) - (3*x)/(2*a) - 2/(a*(exp(x) + 1)) + (7*exp(x))/(8*a)","B"
25,1,52,43,0.917297,"\text{Not used}","int(cosh(x)^3/(a + a*cosh(x)),x)","\frac{{\mathrm{e}}^{-x}}{2\,a}-\frac{{\mathrm{e}}^{-2\,x}}{8\,a}+\frac{{\mathrm{e}}^{2\,x}}{8\,a}+\frac{3\,x}{2\,a}+\frac{2}{a\,\left({\mathrm{e}}^x+1\right)}-\frac{{\mathrm{e}}^x}{2\,a}","Not used",1,"exp(-x)/(2*a) - exp(-2*x)/(8*a) + exp(2*x)/(8*a) + (3*x)/(2*a) + 2/(a*(exp(x) + 1)) - exp(x)/(2*a)","B"
26,1,34,25,0.901076,"\text{Not used}","int(cosh(x)^2/(a + a*cosh(x)),x)","\frac{{\mathrm{e}}^x}{2\,a}-\frac{x}{a}-\frac{2}{a\,\left({\mathrm{e}}^x+1\right)}-\frac{{\mathrm{e}}^{-x}}{2\,a}","Not used",1,"exp(x)/(2*a) - x/a - 2/(a*(exp(x) + 1)) - exp(-x)/(2*a)","B"
27,1,17,18,0.874925,"\text{Not used}","int(cosh(x)/(a + a*cosh(x)),x)","\frac{x}{a}+\frac{2}{a\,\left({\mathrm{e}}^x+1\right)}","Not used",1,"x/a + 2/(a*(exp(x) + 1))","B"
28,1,31,20,0.877629,"\text{Not used}","int(1/(cosh(x)*(a + a*cosh(x))),x)","\frac{2}{a\,\left({\mathrm{e}}^x+1\right)}+\frac{2\,\mathrm{atan}\left(\frac{{\mathrm{e}}^x\,\sqrt{a^2}}{a}\right)}{\sqrt{a^2}}","Not used",1,"2/(a*(exp(x) + 1)) + (2*atan((exp(x)*(a^2)^(1/2))/a))/(a^2)^(1/2)","B"
29,1,58,28,0.894943,"\text{Not used}","int(1/(cosh(x)^2*(a + a*cosh(x))),x)","-\frac{\frac{2\,{\mathrm{e}}^{2\,x}}{a}+\frac{4}{a}+\frac{2\,{\mathrm{e}}^x}{a}}{{\mathrm{e}}^{2\,x}+{\mathrm{e}}^{3\,x}+{\mathrm{e}}^x+1}-\frac{2\,\mathrm{atan}\left(\frac{{\mathrm{e}}^x\,\sqrt{a^2}}{a}\right)}{\sqrt{a^2}}","Not used",1,"- ((2*exp(2*x))/a + 4/a + (2*exp(x))/a)/(exp(2*x) + exp(3*x) + exp(x) + 1) - (2*atan((exp(x)*(a^2)^(1/2))/a))/(a^2)^(1/2)","B"
30,1,73,43,0.909055,"\text{Not used}","int(1/(cosh(x)^3*(a + a*cosh(x))),x)","\frac{2}{a\,\left({\mathrm{e}}^x+1\right)}+\frac{\frac{2}{a}+\frac{{\mathrm{e}}^x}{a}}{{\mathrm{e}}^{2\,x}+1}+\frac{3\,\mathrm{atan}\left(\frac{{\mathrm{e}}^x\,\sqrt{a^2}}{a}\right)}{\sqrt{a^2}}-\frac{2\,{\mathrm{e}}^x}{a\,\left(2\,{\mathrm{e}}^{2\,x}+{\mathrm{e}}^{4\,x}+1\right)}","Not used",1,"2/(a*(exp(x) + 1)) + (2/a + exp(x)/a)/(exp(2*x) + 1) + (3*atan((exp(x)*(a^2)^(1/2))/a))/(a^2)^(1/2) - (2*exp(x))/(a*(2*exp(2*x) + exp(4*x) + 1))","B"
31,1,107,56,0.896986,"\text{Not used}","int(1/(cosh(x)^4*(a + a*cosh(x))),x)","\frac{8}{3\,a\,\left(3\,{\mathrm{e}}^{2\,x}+3\,{\mathrm{e}}^{4\,x}+{\mathrm{e}}^{6\,x}+1\right)}-\frac{\frac{4}{a}-\frac{2\,{\mathrm{e}}^x}{a}}{2\,{\mathrm{e}}^{2\,x}+{\mathrm{e}}^{4\,x}+1}-\frac{2}{a\,\left({\mathrm{e}}^x+1\right)}-\frac{\frac{2}{a}+\frac{{\mathrm{e}}^x}{a}}{{\mathrm{e}}^{2\,x}+1}-\frac{3\,\mathrm{atan}\left(\frac{{\mathrm{e}}^x\,\sqrt{a^2}}{a}\right)}{\sqrt{a^2}}","Not used",1,"8/(3*a*(3*exp(2*x) + 3*exp(4*x) + exp(6*x) + 1)) - (4/a - (2*exp(x))/a)/(2*exp(2*x) + exp(4*x) + 1) - 2/(a*(exp(x) + 1)) - (2/a + exp(x)/a)/(exp(2*x) + 1) - (3*atan((exp(x)*(a^2)^(1/2))/a))/(a^2)^(1/2)","B"
32,1,15,20,0.894592,"\text{Not used}","int(1/(cosh(c + d*x) + 1),x)","-\frac{2}{d\,\left({\mathrm{e}}^{c+d\,x}+1\right)}","Not used",1,"-2/(d*(exp(c + d*x) + 1))","B"
33,1,25,47,0.058734,"\text{Not used}","int(1/(cosh(c + d*x) + 1)^2,x)","-\frac{2\,\left(3\,{\mathrm{e}}^{c+d\,x}+1\right)}{3\,d\,{\left({\mathrm{e}}^{c+d\,x}+1\right)}^3}","Not used",1,"-(2*(3*exp(c + d*x) + 1))/(3*d*(exp(c + d*x) + 1)^3)","B"
34,1,36,70,0.934302,"\text{Not used}","int(1/(cosh(c + d*x) + 1)^3,x)","-\frac{4\,\left(5\,{\mathrm{e}}^{c+d\,x}+10\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}{15\,d\,{\left({\mathrm{e}}^{c+d\,x}+1\right)}^5}","Not used",1,"-(4*(5*exp(c + d*x) + 10*exp(2*c + 2*d*x) + 1))/(15*d*(exp(c + d*x) + 1)^5)","B"
35,1,283,93,0.919393,"\text{Not used}","int(1/(cosh(c + d*x) + 1)^4,x)","-\frac{4}{35\,d\,\left(4\,{\mathrm{e}}^{c+d\,x}+6\,{\mathrm{e}}^{2\,c+2\,d\,x}+4\,{\mathrm{e}}^{3\,c+3\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}-\frac{16\,{\mathrm{e}}^{c+d\,x}}{35\,d\,\left(5\,{\mathrm{e}}^{c+d\,x}+10\,{\mathrm{e}}^{2\,c+2\,d\,x}+10\,{\mathrm{e}}^{3\,c+3\,d\,x}+5\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{5\,c+5\,d\,x}+1\right)}-\frac{8\,{\mathrm{e}}^{2\,c+2\,d\,x}}{7\,d\,\left(6\,{\mathrm{e}}^{c+d\,x}+15\,{\mathrm{e}}^{2\,c+2\,d\,x}+20\,{\mathrm{e}}^{3\,c+3\,d\,x}+15\,{\mathrm{e}}^{4\,c+4\,d\,x}+6\,{\mathrm{e}}^{5\,c+5\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1\right)}-\frac{16\,{\mathrm{e}}^{3\,c+3\,d\,x}}{7\,d\,\left(7\,{\mathrm{e}}^{c+d\,x}+21\,{\mathrm{e}}^{2\,c+2\,d\,x}+35\,{\mathrm{e}}^{3\,c+3\,d\,x}+35\,{\mathrm{e}}^{4\,c+4\,d\,x}+21\,{\mathrm{e}}^{5\,c+5\,d\,x}+7\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{7\,c+7\,d\,x}+1\right)}","Not used",1,"- 4/(35*d*(4*exp(c + d*x) + 6*exp(2*c + 2*d*x) + 4*exp(3*c + 3*d*x) + exp(4*c + 4*d*x) + 1)) - (16*exp(c + d*x))/(35*d*(5*exp(c + d*x) + 10*exp(2*c + 2*d*x) + 10*exp(3*c + 3*d*x) + 5*exp(4*c + 4*d*x) + exp(5*c + 5*d*x) + 1)) - (8*exp(2*c + 2*d*x))/(7*d*(6*exp(c + d*x) + 15*exp(2*c + 2*d*x) + 20*exp(3*c + 3*d*x) + 15*exp(4*c + 4*d*x) + 6*exp(5*c + 5*d*x) + exp(6*c + 6*d*x) + 1)) - (16*exp(3*c + 3*d*x))/(7*d*(7*exp(c + d*x) + 21*exp(2*c + 2*d*x) + 35*exp(3*c + 3*d*x) + 35*exp(4*c + 4*d*x) + 21*exp(5*c + 5*d*x) + 7*exp(6*c + 6*d*x) + exp(7*c + 7*d*x) + 1))","B"
36,1,15,23,0.892964,"\text{Not used}","int(-1/(cosh(c + d*x) - 1),x)","\frac{2}{d\,\left({\mathrm{e}}^{c+d\,x}-1\right)}","Not used",1,"2/(d*(exp(c + d*x) - 1))","B"
37,1,25,51,0.058939,"\text{Not used}","int(1/(cosh(c + d*x) - 1)^2,x)","-\frac{2\,\left(3\,{\mathrm{e}}^{c+d\,x}-1\right)}{3\,d\,{\left({\mathrm{e}}^{c+d\,x}-1\right)}^3}","Not used",1,"-(2*(3*exp(c + d*x) - 1))/(3*d*(exp(c + d*x) - 1)^3)","B"
38,1,36,76,0.910815,"\text{Not used}","int(-1/(cosh(c + d*x) - 1)^3,x)","\frac{4\,\left(10\,{\mathrm{e}}^{2\,c+2\,d\,x}-5\,{\mathrm{e}}^{c+d\,x}+1\right)}{15\,d\,{\left({\mathrm{e}}^{c+d\,x}-1\right)}^5}","Not used",1,"(4*(10*exp(2*c + 2*d*x) - 5*exp(c + d*x) + 1))/(15*d*(exp(c + d*x) - 1)^5)","B"
39,1,283,101,0.084834,"\text{Not used}","int(1/(cosh(c + d*x) - 1)^4,x)","-\frac{4}{35\,d\,\left(6\,{\mathrm{e}}^{2\,c+2\,d\,x}-4\,{\mathrm{e}}^{c+d\,x}-4\,{\mathrm{e}}^{3\,c+3\,d\,x}+{\mathrm{e}}^{4\,c+4\,d\,x}+1\right)}-\frac{16\,{\mathrm{e}}^{c+d\,x}}{35\,d\,\left(5\,{\mathrm{e}}^{c+d\,x}-10\,{\mathrm{e}}^{2\,c+2\,d\,x}+10\,{\mathrm{e}}^{3\,c+3\,d\,x}-5\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{5\,c+5\,d\,x}-1\right)}-\frac{8\,{\mathrm{e}}^{2\,c+2\,d\,x}}{7\,d\,\left(15\,{\mathrm{e}}^{2\,c+2\,d\,x}-6\,{\mathrm{e}}^{c+d\,x}-20\,{\mathrm{e}}^{3\,c+3\,d\,x}+15\,{\mathrm{e}}^{4\,c+4\,d\,x}-6\,{\mathrm{e}}^{5\,c+5\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}+1\right)}-\frac{16\,{\mathrm{e}}^{3\,c+3\,d\,x}}{7\,d\,\left(7\,{\mathrm{e}}^{c+d\,x}-21\,{\mathrm{e}}^{2\,c+2\,d\,x}+35\,{\mathrm{e}}^{3\,c+3\,d\,x}-35\,{\mathrm{e}}^{4\,c+4\,d\,x}+21\,{\mathrm{e}}^{5\,c+5\,d\,x}-7\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{7\,c+7\,d\,x}-1\right)}","Not used",1,"- 4/(35*d*(6*exp(2*c + 2*d*x) - 4*exp(c + d*x) - 4*exp(3*c + 3*d*x) + exp(4*c + 4*d*x) + 1)) - (16*exp(c + d*x))/(35*d*(5*exp(c + d*x) - 10*exp(2*c + 2*d*x) + 10*exp(3*c + 3*d*x) - 5*exp(4*c + 4*d*x) + exp(5*c + 5*d*x) - 1)) - (8*exp(2*c + 2*d*x))/(7*d*(15*exp(2*c + 2*d*x) - 6*exp(c + d*x) - 20*exp(3*c + 3*d*x) + 15*exp(4*c + 4*d*x) - 6*exp(5*c + 5*d*x) + exp(6*c + 6*d*x) + 1)) - (16*exp(3*c + 3*d*x))/(7*d*(7*exp(c + d*x) - 21*exp(2*c + 2*d*x) + 35*exp(3*c + 3*d*x) - 35*exp(4*c + 4*d*x) + 21*exp(5*c + 5*d*x) - 7*exp(6*c + 6*d*x) + exp(7*c + 7*d*x) - 1))","B"
40,0,-1,51,0.000000,"\text{Not used}","int(cosh(x)/(a + a*cosh(x))^(1/2),x)","\int \frac{\mathrm{cosh}\left(x\right)}{\sqrt{a+a\,\mathrm{cosh}\left(x\right)}} \,d x","Not used",1,"int(cosh(x)/(a + a*cosh(x))^(1/2), x)","F"
41,0,-1,53,0.000000,"\text{Not used}","int(cosh(x)/(a - a*cosh(x))^(1/2),x)","\int \frac{\mathrm{cosh}\left(x\right)}{\sqrt{a-a\,\mathrm{cosh}\left(x\right)}} \,d x","Not used",1,"int(cosh(x)/(a - a*cosh(x))^(1/2), x)","F"
42,0,-1,89,0.000000,"\text{Not used}","int((a + a*cosh(c + d*x))^(5/2),x)","\int {\left(a+a\,\mathrm{cosh}\left(c+d\,x\right)\right)}^{5/2} \,d x","Not used",1,"int((a + a*cosh(c + d*x))^(5/2), x)","F"
43,0,-1,59,0.000000,"\text{Not used}","int((a + a*cosh(c + d*x))^(3/2),x)","\int {\left(a+a\,\mathrm{cosh}\left(c+d\,x\right)\right)}^{3/2} \,d x","Not used",1,"int((a + a*cosh(c + d*x))^(3/2), x)","F"
44,1,26,26,0.114664,"\text{Not used}","int((a + a*cosh(c + d*x))^(1/2),x)","\frac{2\,\mathrm{tanh}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\sqrt{a+a\,\mathrm{cosh}\left(c+d\,x\right)}}{d}","Not used",1,"(2*tanh(c/2 + (d*x)/2)*(a + a*cosh(c + d*x))^(1/2))/d","B"
45,0,-1,46,0.000000,"\text{Not used}","int(1/(a + a*cosh(c + d*x))^(1/2),x)","\int \frac{1}{\sqrt{a+a\,\mathrm{cosh}\left(c+d\,x\right)}} \,d x","Not used",1,"int(1/(a + a*cosh(c + d*x))^(1/2), x)","F"
46,0,-1,77,0.000000,"\text{Not used}","int(1/(a + a*cosh(c + d*x))^(3/2),x)","\int \frac{1}{{\left(a+a\,\mathrm{cosh}\left(c+d\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(1/(a + a*cosh(c + d*x))^(3/2), x)","F"
47,0,-1,107,0.000000,"\text{Not used}","int(1/(a + a*cosh(c + d*x))^(5/2),x)","\int \frac{1}{{\left(a+a\,\mathrm{cosh}\left(c+d\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int(1/(a + a*cosh(c + d*x))^(5/2), x)","F"
48,0,-1,92,0.000000,"\text{Not used}","int((a - a*cosh(c + d*x))^(5/2),x)","\int {\left(a-a\,\mathrm{cosh}\left(c+d\,x\right)\right)}^{5/2} \,d x","Not used",1,"int((a - a*cosh(c + d*x))^(5/2), x)","F"
49,0,-1,61,0.000000,"\text{Not used}","int((a - a*cosh(c + d*x))^(3/2),x)","\int {\left(a-a\,\mathrm{cosh}\left(c+d\,x\right)\right)}^{3/2} \,d x","Not used",1,"int((a - a*cosh(c + d*x))^(3/2), x)","F"
50,1,27,27,0.940887,"\text{Not used}","int((a - a*cosh(c + d*x))^(1/2),x)","\frac{2\,\mathrm{coth}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\sqrt{a-a\,\mathrm{cosh}\left(c+d\,x\right)}}{d}","Not used",1,"(2*coth(c/2 + (d*x)/2)*(a - a*cosh(c + d*x))^(1/2))/d","B"
51,0,-1,48,0.000000,"\text{Not used}","int(1/(a - a*cosh(c + d*x))^(1/2),x)","\int \frac{1}{\sqrt{a-a\,\mathrm{cosh}\left(c+d\,x\right)}} \,d x","Not used",1,"int(1/(a - a*cosh(c + d*x))^(1/2), x)","F"
52,0,-1,79,0.000000,"\text{Not used}","int(1/(a - a*cosh(c + d*x))^(3/2),x)","\int \frac{1}{{\left(a-a\,\mathrm{cosh}\left(c+d\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(1/(a - a*cosh(c + d*x))^(3/2), x)","F"
53,0,-1,110,0.000000,"\text{Not used}","int(1/(a - a*cosh(c + d*x))^(5/2),x)","\int \frac{1}{{\left(a-a\,\mathrm{cosh}\left(c+d\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int(1/(a - a*cosh(c + d*x))^(5/2), x)","F"
54,1,209,112,1.263452,"\text{Not used}","int(cosh(x)^4/(a + b*cosh(x)),x)","\frac{{\mathrm{e}}^{3\,x}}{24\,b}-\frac{{\mathrm{e}}^{-3\,x}}{24\,b}-\frac{x\,\left(2\,a^3+a\,b^2\right)}{2\,b^4}+\frac{{\mathrm{e}}^x\,\left(4\,a^2+3\,b^2\right)}{8\,b^3}+\frac{a\,{\mathrm{e}}^{-2\,x}}{8\,b^2}-\frac{a\,{\mathrm{e}}^{2\,x}}{8\,b^2}-\frac{{\mathrm{e}}^{-x}\,\left(4\,a^2+3\,b^2\right)}{8\,b^3}+\frac{a^4\,\ln\left(-\frac{2\,a^4\,{\mathrm{e}}^x}{b^5}-\frac{2\,a^4\,\left(b+a\,{\mathrm{e}}^x\right)}{b^5\,\sqrt{a+b}\,\sqrt{a-b}}\right)}{b^4\,\sqrt{a+b}\,\sqrt{a-b}}-\frac{a^4\,\ln\left(\frac{2\,a^4\,\left(b+a\,{\mathrm{e}}^x\right)}{b^5\,\sqrt{a+b}\,\sqrt{a-b}}-\frac{2\,a^4\,{\mathrm{e}}^x}{b^5}\right)}{b^4\,\sqrt{a+b}\,\sqrt{a-b}}","Not used",1,"exp(3*x)/(24*b) - exp(-3*x)/(24*b) - (x*(a*b^2 + 2*a^3))/(2*b^4) + (exp(x)*(4*a^2 + 3*b^2))/(8*b^3) + (a*exp(-2*x))/(8*b^2) - (a*exp(2*x))/(8*b^2) - (exp(-x)*(4*a^2 + 3*b^2))/(8*b^3) + (a^4*log(- (2*a^4*exp(x))/b^5 - (2*a^4*(b + a*exp(x)))/(b^5*(a + b)^(1/2)*(a - b)^(1/2))))/(b^4*(a + b)^(1/2)*(a - b)^(1/2)) - (a^4*log((2*a^4*(b + a*exp(x)))/(b^5*(a + b)^(1/2)*(a - b)^(1/2)) - (2*a^4*exp(x))/b^5))/(b^4*(a + b)^(1/2)*(a - b)^(1/2))","B"
55,1,167,85,1.117229,"\text{Not used}","int(cosh(x)^3/(a + b*cosh(x)),x)","\frac{{\mathrm{e}}^{2\,x}}{8\,b}-\frac{{\mathrm{e}}^{-2\,x}}{8\,b}-\frac{a\,{\mathrm{e}}^x}{2\,b^2}+\frac{a\,{\mathrm{e}}^{-x}}{2\,b^2}+\frac{x\,\left(2\,a^2+b^2\right)}{2\,b^3}+\frac{a^3\,\ln\left(\frac{2\,a^3\,{\mathrm{e}}^x}{b^4}-\frac{2\,a^3\,\left(b+a\,{\mathrm{e}}^x\right)}{b^4\,\sqrt{a+b}\,\sqrt{a-b}}\right)}{b^3\,\sqrt{a+b}\,\sqrt{a-b}}-\frac{a^3\,\ln\left(\frac{2\,a^3\,{\mathrm{e}}^x}{b^4}+\frac{2\,a^3\,\left(b+a\,{\mathrm{e}}^x\right)}{b^4\,\sqrt{a+b}\,\sqrt{a-b}}\right)}{b^3\,\sqrt{a+b}\,\sqrt{a-b}}","Not used",1,"exp(2*x)/(8*b) - exp(-2*x)/(8*b) - (a*exp(x))/(2*b^2) + (a*exp(-x))/(2*b^2) + (x*(2*a^2 + b^2))/(2*b^3) + (a^3*log((2*a^3*exp(x))/b^4 - (2*a^3*(b + a*exp(x)))/(b^4*(a + b)^(1/2)*(a - b)^(1/2))))/(b^3*(a + b)^(1/2)*(a - b)^(1/2)) - (a^3*log((2*a^3*exp(x))/b^4 + (2*a^3*(b + a*exp(x)))/(b^4*(a + b)^(1/2)*(a - b)^(1/2))))/(b^3*(a + b)^(1/2)*(a - b)^(1/2))","B"
56,1,139,62,1.041070,"\text{Not used}","int(cosh(x)^2/(a + b*cosh(x)),x)","\frac{{\mathrm{e}}^x}{2\,b}-\frac{{\mathrm{e}}^{-x}}{2\,b}-\frac{a\,x}{b^2}+\frac{a^2\,\ln\left(-\frac{2\,a^2\,{\mathrm{e}}^x}{b^3}-\frac{2\,a^2\,\left(b+a\,{\mathrm{e}}^x\right)}{b^3\,\sqrt{a+b}\,\sqrt{a-b}}\right)}{b^2\,\sqrt{a+b}\,\sqrt{a-b}}-\frac{a^2\,\ln\left(\frac{2\,a^2\,\left(b+a\,{\mathrm{e}}^x\right)}{b^3\,\sqrt{a+b}\,\sqrt{a-b}}-\frac{2\,a^2\,{\mathrm{e}}^x}{b^3}\right)}{b^2\,\sqrt{a+b}\,\sqrt{a-b}}","Not used",1,"exp(x)/(2*b) - exp(-x)/(2*b) - (a*x)/b^2 + (a^2*log(- (2*a^2*exp(x))/b^3 - (2*a^2*(b + a*exp(x)))/(b^3*(a + b)^(1/2)*(a - b)^(1/2))))/(b^2*(a + b)^(1/2)*(a - b)^(1/2)) - (a^2*log((2*a^2*(b + a*exp(x)))/(b^3*(a + b)^(1/2)*(a - b)^(1/2)) - (2*a^2*exp(x))/b^3))/(b^2*(a + b)^(1/2)*(a - b)^(1/2))","B"
57,1,109,52,0.218788,"\text{Not used}","int(cosh(x)/(a + b*cosh(x)),x)","\frac{x}{b}+\frac{a\,\ln\left(\frac{2\,a\,{\mathrm{e}}^x}{b^2}-\frac{2\,a\,\left(b+a\,{\mathrm{e}}^x\right)}{b^2\,\sqrt{a+b}\,\sqrt{a-b}}\right)}{b\,\sqrt{a+b}\,\sqrt{a-b}}-\frac{a\,\ln\left(\frac{2\,a\,{\mathrm{e}}^x}{b^2}+\frac{2\,a\,\left(b+a\,{\mathrm{e}}^x\right)}{b^2\,\sqrt{a+b}\,\sqrt{a-b}}\right)}{b\,\sqrt{a+b}\,\sqrt{a-b}}","Not used",1,"x/b + (a*log((2*a*exp(x))/b^2 - (2*a*(b + a*exp(x)))/(b^2*(a + b)^(1/2)*(a - b)^(1/2))))/(b*(a + b)^(1/2)*(a - b)^(1/2)) - (a*log((2*a*exp(x))/b^2 + (2*a*(b + a*exp(x)))/(b^2*(a + b)^(1/2)*(a - b)^(1/2))))/(b*(a + b)^(1/2)*(a - b)^(1/2))","B"
58,1,286,54,3.455971,"\text{Not used}","int(1/(cosh(x)*(a + b*cosh(x))),x)","\frac{b\,\ln\left(64\,a^4\,b-64\,a^2\,b^3+128\,a^5\,{\mathrm{e}}^x+32\,a\,b^3\,\sqrt{a^2-b^2}-64\,a^3\,b\,\sqrt{a^2-b^2}+32\,a\,b^4\,{\mathrm{e}}^x-128\,a^4\,{\mathrm{e}}^x\,\sqrt{a^2-b^2}-160\,a^3\,b^2\,{\mathrm{e}}^x+96\,a^2\,b^2\,{\mathrm{e}}^x\,\sqrt{a^2-b^2}\right)}{a\,\sqrt{a^2-b^2}}-\frac{b\,\ln\left(64\,a^4\,b-64\,a^2\,b^3+128\,a^5\,{\mathrm{e}}^x-32\,a\,b^3\,\sqrt{a^2-b^2}+64\,a^3\,b\,\sqrt{a^2-b^2}+32\,a\,b^4\,{\mathrm{e}}^x+128\,a^4\,{\mathrm{e}}^x\,\sqrt{a^2-b^2}-160\,a^3\,b^2\,{\mathrm{e}}^x-96\,a^2\,b^2\,{\mathrm{e}}^x\,\sqrt{a^2-b^2}\right)}{a\,\sqrt{a^2-b^2}}-\frac{\ln\left({\mathrm{e}}^x-\mathrm{i}\right)\,1{}\mathrm{i}-\ln\left({\mathrm{e}}^x+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{a}","Not used",1,"(b*log(64*a^4*b - 64*a^2*b^3 + 128*a^5*exp(x) + 32*a*b^3*(a^2 - b^2)^(1/2) - 64*a^3*b*(a^2 - b^2)^(1/2) + 32*a*b^4*exp(x) - 128*a^4*exp(x)*(a^2 - b^2)^(1/2) - 160*a^3*b^2*exp(x) + 96*a^2*b^2*exp(x)*(a^2 - b^2)^(1/2)))/(a*(a^2 - b^2)^(1/2)) - (b*log(64*a^4*b - 64*a^2*b^3 + 128*a^5*exp(x) - 32*a*b^3*(a^2 - b^2)^(1/2) + 64*a^3*b*(a^2 - b^2)^(1/2) + 32*a*b^4*exp(x) + 128*a^4*exp(x)*(a^2 - b^2)^(1/2) - 160*a^3*b^2*exp(x) - 96*a^2*b^2*exp(x)*(a^2 - b^2)^(1/2)))/(a*(a^2 - b^2)^(1/2)) - (log(exp(x) - 1i)*1i - log(exp(x) + 1i)*1i)/a","B"
59,1,294,64,3.098270,"\text{Not used}","int(1/(cosh(x)^2*(a + b*cosh(x))),x)","\frac{b^2\,\ln\left(64\,a\,b^3-64\,a^3\,b+32\,b^3\,\sqrt{a^2-b^2}-128\,a^4\,{\mathrm{e}}^x-32\,b^4\,{\mathrm{e}}^x-64\,a^2\,b\,\sqrt{a^2-b^2}-128\,a^3\,{\mathrm{e}}^x\,\sqrt{a^2-b^2}+160\,a^2\,b^2\,{\mathrm{e}}^x+96\,a\,b^2\,{\mathrm{e}}^x\,\sqrt{a^2-b^2}\right)}{a^2\,\sqrt{a^2-b^2}}+\frac{b\,\left(\ln\left(32\,{\mathrm{e}}^x-32{}\mathrm{i}\right)\,1{}\mathrm{i}-\ln\left(32\,{\mathrm{e}}^x+32{}\mathrm{i}\right)\,1{}\mathrm{i}\right)}{a^2}-\frac{b^2\,\ln\left(64\,a^3\,b-64\,a\,b^3+32\,b^3\,\sqrt{a^2-b^2}+128\,a^4\,{\mathrm{e}}^x+32\,b^4\,{\mathrm{e}}^x-64\,a^2\,b\,\sqrt{a^2-b^2}-128\,a^3\,{\mathrm{e}}^x\,\sqrt{a^2-b^2}-160\,a^2\,b^2\,{\mathrm{e}}^x+96\,a\,b^2\,{\mathrm{e}}^x\,\sqrt{a^2-b^2}\right)}{a^2\,\sqrt{a^2-b^2}}-\frac{2}{a+a\,{\mathrm{e}}^{2\,x}}","Not used",1,"(b*(log(32*exp(x) - 32i)*1i - log(32*exp(x) + 32i)*1i))/a^2 - 2/(a + a*exp(2*x)) - (b^2*log(64*a^3*b - 64*a*b^3 + 32*b^3*(a^2 - b^2)^(1/2) + 128*a^4*exp(x) + 32*b^4*exp(x) - 64*a^2*b*(a^2 - b^2)^(1/2) - 128*a^3*exp(x)*(a^2 - b^2)^(1/2) - 160*a^2*b^2*exp(x) + 96*a*b^2*exp(x)*(a^2 - b^2)^(1/2)))/(a^2*(a^2 - b^2)^(1/2)) + (b^2*log(64*a*b^3 - 64*a^3*b + 32*b^3*(a^2 - b^2)^(1/2) - 128*a^4*exp(x) - 32*b^4*exp(x) - 64*a^2*b*(a^2 - b^2)^(1/2) - 128*a^3*exp(x)*(a^2 - b^2)^(1/2) + 160*a^2*b^2*exp(x) + 96*a*b^2*exp(x)*(a^2 - b^2)^(1/2)))/(a^2*(a^2 - b^2)^(1/2))","B"
60,1,476,87,4.125866,"\text{Not used}","int(1/(cosh(x)^3*(a + b*cosh(x))),x)","\frac{{\mathrm{e}}^x}{a+a\,{\mathrm{e}}^{2\,x}}-\frac{2\,{\mathrm{e}}^x}{a+2\,a\,{\mathrm{e}}^{2\,x}+a\,{\mathrm{e}}^{4\,x}}+\frac{2\,b}{a^2\,{\mathrm{e}}^{2\,x}+a^2}-\frac{\ln\left(1+{\mathrm{e}}^x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}-\ln\left({\mathrm{e}}^x+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,a}-\frac{b^2\,\left(\ln\left(1+{\mathrm{e}}^x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}-\ln\left({\mathrm{e}}^x+1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)}{a^3}-\frac{b^3\,\ln\left(16\,a^5\,b-48\,a\,b^5-24\,b^5\,\sqrt{a^2-b^2}+32\,a^3\,b^3+32\,a^6\,{\mathrm{e}}^x+24\,b^6\,{\mathrm{e}}^x+16\,a^4\,b\,\sqrt{a^2-b^2}+40\,a^2\,b^3\,\sqrt{a^2-b^2}+32\,a^5\,{\mathrm{e}}^x\,\sqrt{a^2-b^2}-112\,a^2\,b^4\,{\mathrm{e}}^x+56\,a^4\,b^2\,{\mathrm{e}}^x+72\,a^3\,b^2\,{\mathrm{e}}^x\,\sqrt{a^2-b^2}-72\,a\,b^4\,{\mathrm{e}}^x\,\sqrt{a^2-b^2}\right)}{a^3\,\sqrt{a^2-b^2}}+\frac{b^3\,\ln\left(16\,a^5\,b-48\,a\,b^5+24\,b^5\,\sqrt{a^2-b^2}+32\,a^3\,b^3+32\,a^6\,{\mathrm{e}}^x+24\,b^6\,{\mathrm{e}}^x-16\,a^4\,b\,\sqrt{a^2-b^2}-40\,a^2\,b^3\,\sqrt{a^2-b^2}-32\,a^5\,{\mathrm{e}}^x\,\sqrt{a^2-b^2}-112\,a^2\,b^4\,{\mathrm{e}}^x+56\,a^4\,b^2\,{\mathrm{e}}^x-72\,a^3\,b^2\,{\mathrm{e}}^x\,\sqrt{a^2-b^2}+72\,a\,b^4\,{\mathrm{e}}^x\,\sqrt{a^2-b^2}\right)}{a^3\,\sqrt{a^2-b^2}}","Not used",1,"exp(x)/(a + a*exp(2*x)) - (2*exp(x))/(a + 2*a*exp(2*x) + a*exp(4*x)) + (2*b)/(a^2*exp(2*x) + a^2) - (log(exp(x)*1i + 1)*1i - log(exp(x) + 1i)*1i)/(2*a) - (b^2*(log(exp(x)*1i + 1)*1i - log(exp(x) + 1i)*1i))/a^3 - (b^3*log(16*a^5*b - 48*a*b^5 - 24*b^5*(a^2 - b^2)^(1/2) + 32*a^3*b^3 + 32*a^6*exp(x) + 24*b^6*exp(x) + 16*a^4*b*(a^2 - b^2)^(1/2) + 40*a^2*b^3*(a^2 - b^2)^(1/2) + 32*a^5*exp(x)*(a^2 - b^2)^(1/2) - 112*a^2*b^4*exp(x) + 56*a^4*b^2*exp(x) + 72*a^3*b^2*exp(x)*(a^2 - b^2)^(1/2) - 72*a*b^4*exp(x)*(a^2 - b^2)^(1/2)))/(a^3*(a^2 - b^2)^(1/2)) + (b^3*log(16*a^5*b - 48*a*b^5 + 24*b^5*(a^2 - b^2)^(1/2) + 32*a^3*b^3 + 32*a^6*exp(x) + 24*b^6*exp(x) - 16*a^4*b*(a^2 - b^2)^(1/2) - 40*a^2*b^3*(a^2 - b^2)^(1/2) - 32*a^5*exp(x)*(a^2 - b^2)^(1/2) - 112*a^2*b^4*exp(x) + 56*a^4*b^2*exp(x) - 72*a^3*b^2*exp(x)*(a^2 - b^2)^(1/2) + 72*a*b^4*exp(x)*(a^2 - b^2)^(1/2)))/(a^3*(a^2 - b^2)^(1/2))","B"
61,1,547,114,4.533277,"\text{Not used}","int(1/(cosh(x)^4*(a + b*cosh(x))),x)","\frac{8}{3\,\left(a+3\,a\,{\mathrm{e}}^{2\,x}+3\,a\,{\mathrm{e}}^{4\,x}+a\,{\mathrm{e}}^{6\,x}\right)}-\frac{4}{a+2\,a\,{\mathrm{e}}^{2\,x}+a\,{\mathrm{e}}^{4\,x}}-\frac{2\,b^2}{a^3\,{\mathrm{e}}^{2\,x}+a^3}+\frac{b^3\,\left(\ln\left({\mathrm{e}}^x-\mathrm{i}\right)\,1{}\mathrm{i}-\ln\left({\mathrm{e}}^x+1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)}{a^4}-\frac{b\,{\mathrm{e}}^x}{a^2\,{\mathrm{e}}^{2\,x}+a^2}+\frac{2\,b\,{\mathrm{e}}^x}{2\,a^2\,{\mathrm{e}}^{2\,x}+a^2\,{\mathrm{e}}^{4\,x}+a^2}+\frac{b\,\left(\ln\left({\mathrm{e}}^x-\mathrm{i}\right)\,1{}\mathrm{i}-\ln\left({\mathrm{e}}^x+1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)}{2\,a^2}+\frac{b^4\,\ln\left(32\,a^3\,b^4-24\,b^6\,\sqrt{a^2-b^2}-48\,a\,b^6+16\,a^5\,b^2+24\,b^7\,{\mathrm{e}}^x+32\,a^6\,b\,{\mathrm{e}}^x+40\,a^2\,b^4\,\sqrt{a^2-b^2}+16\,a^4\,b^2\,\sqrt{a^2-b^2}-112\,a^2\,b^5\,{\mathrm{e}}^x+56\,a^4\,b^3\,{\mathrm{e}}^x+72\,a^3\,b^3\,{\mathrm{e}}^x\,\sqrt{a^2-b^2}-72\,a\,b^5\,{\mathrm{e}}^x\,\sqrt{a^2-b^2}+32\,a^5\,b\,{\mathrm{e}}^x\,\sqrt{a^2-b^2}\right)}{a^4\,\sqrt{a^2-b^2}}-\frac{b^4\,\ln\left(24\,b^6\,\sqrt{a^2-b^2}-48\,a\,b^6+32\,a^3\,b^4+16\,a^5\,b^2+24\,b^7\,{\mathrm{e}}^x+32\,a^6\,b\,{\mathrm{e}}^x-40\,a^2\,b^4\,\sqrt{a^2-b^2}-16\,a^4\,b^2\,\sqrt{a^2-b^2}-112\,a^2\,b^5\,{\mathrm{e}}^x+56\,a^4\,b^3\,{\mathrm{e}}^x-72\,a^3\,b^3\,{\mathrm{e}}^x\,\sqrt{a^2-b^2}+72\,a\,b^5\,{\mathrm{e}}^x\,\sqrt{a^2-b^2}-32\,a^5\,b\,{\mathrm{e}}^x\,\sqrt{a^2-b^2}\right)}{a^4\,\sqrt{a^2-b^2}}","Not used",1,"8/(3*(a + 3*a*exp(2*x) + 3*a*exp(4*x) + a*exp(6*x))) - 4/(a + 2*a*exp(2*x) + a*exp(4*x)) - (2*b^2)/(a^3*exp(2*x) + a^3) + (b^3*(log(exp(x) - 1i)*1i - log(exp(x) + 1i)*1i))/a^4 - (b*exp(x))/(a^2*exp(2*x) + a^2) + (2*b*exp(x))/(2*a^2*exp(2*x) + a^2*exp(4*x) + a^2) + (b*(log(exp(x) - 1i)*1i - log(exp(x) + 1i)*1i))/(2*a^2) + (b^4*log(32*a^3*b^4 - 24*b^6*(a^2 - b^2)^(1/2) - 48*a*b^6 + 16*a^5*b^2 + 24*b^7*exp(x) + 32*a^6*b*exp(x) + 40*a^2*b^4*(a^2 - b^2)^(1/2) + 16*a^4*b^2*(a^2 - b^2)^(1/2) - 112*a^2*b^5*exp(x) + 56*a^4*b^3*exp(x) + 72*a^3*b^3*exp(x)*(a^2 - b^2)^(1/2) - 72*a*b^5*exp(x)*(a^2 - b^2)^(1/2) + 32*a^5*b*exp(x)*(a^2 - b^2)^(1/2)))/(a^4*(a^2 - b^2)^(1/2)) - (b^4*log(24*b^6*(a^2 - b^2)^(1/2) - 48*a*b^6 + 32*a^3*b^4 + 16*a^5*b^2 + 24*b^7*exp(x) + 32*a^6*b*exp(x) - 40*a^2*b^4*(a^2 - b^2)^(1/2) - 16*a^4*b^2*(a^2 - b^2)^(1/2) - 112*a^2*b^5*exp(x) + 56*a^4*b^3*exp(x) - 72*a^3*b^3*exp(x)*(a^2 - b^2)^(1/2) + 72*a*b^5*exp(x)*(a^2 - b^2)^(1/2) - 32*a^5*b*exp(x)*(a^2 - b^2)^(1/2)))/(a^4*(a^2 - b^2)^(1/2))","B"
62,1,160,183,1.143823,"\text{Not used}","int((a + b*cosh(c + d*x))^5,x)","\frac{75\,b^5\,\mathrm{sinh}\left(c+d\,x\right)+\frac{25\,b^5\,\mathrm{sinh}\left(3\,c+3\,d\,x\right)}{2}+\frac{3\,b^5\,\mathrm{sinh}\left(5\,c+5\,d\,x\right)}{2}+150\,a\,b^4\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)+\frac{75\,a\,b^4\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)}{4}+900\,a^2\,b^3\,\mathrm{sinh}\left(c+d\,x\right)+300\,a^3\,b^2\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)+100\,a^2\,b^3\,\mathrm{sinh}\left(3\,c+3\,d\,x\right)+600\,a^4\,b\,\mathrm{sinh}\left(c+d\,x\right)+120\,a^5\,d\,x+225\,a\,b^4\,d\,x+600\,a^3\,b^2\,d\,x}{120\,d}","Not used",1,"(75*b^5*sinh(c + d*x) + (25*b^5*sinh(3*c + 3*d*x))/2 + (3*b^5*sinh(5*c + 5*d*x))/2 + 150*a*b^4*sinh(2*c + 2*d*x) + (75*a*b^4*sinh(4*c + 4*d*x))/4 + 900*a^2*b^3*sinh(c + d*x) + 300*a^3*b^2*sinh(2*c + 2*d*x) + 100*a^2*b^3*sinh(3*c + 3*d*x) + 600*a^4*b*sinh(c + d*x) + 120*a^5*d*x + 225*a*b^4*d*x + 600*a^3*b^2*d*x)/(120*d)","B"
63,1,114,137,0.190628,"\text{Not used}","int((a + b*cosh(c + d*x))^4,x)","\frac{6\,b^4\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)+\frac{3\,b^4\,\mathrm{sinh}\left(4\,c+4\,d\,x\right)}{4}+8\,a\,b^3\,\mathrm{sinh}\left(3\,c+3\,d\,x\right)+36\,a^2\,b^2\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)+72\,a\,b^3\,\mathrm{sinh}\left(c+d\,x\right)+96\,a^3\,b\,\mathrm{sinh}\left(c+d\,x\right)+24\,a^4\,d\,x+9\,b^4\,d\,x+72\,a^2\,b^2\,d\,x}{24\,d}","Not used",1,"(6*b^4*sinh(2*c + 2*d*x) + (3*b^4*sinh(4*c + 4*d*x))/4 + 8*a*b^3*sinh(3*c + 3*d*x) + 36*a^2*b^2*sinh(2*c + 2*d*x) + 72*a*b^3*sinh(c + d*x) + 96*a^3*b*sinh(c + d*x) + 24*a^4*d*x + 9*b^4*d*x + 72*a^2*b^2*d*x)/(24*d)","B"
64,1,73,90,0.954590,"\text{Not used}","int((a + b*cosh(c + d*x))^3,x)","\frac{\frac{9\,b^3\,\mathrm{sinh}\left(c+d\,x\right)}{2}+\frac{b^3\,\mathrm{sinh}\left(3\,c+3\,d\,x\right)}{2}+\frac{9\,a\,b^2\,\mathrm{sinh}\left(2\,c+2\,d\,x\right)}{2}+18\,a^2\,b\,\mathrm{sinh}\left(c+d\,x\right)+6\,a^3\,d\,x+9\,a\,b^2\,d\,x}{6\,d}","Not used",1,"((9*b^3*sinh(c + d*x))/2 + (b^3*sinh(3*c + 3*d*x))/2 + (9*a*b^2*sinh(2*c + 2*d*x))/2 + 18*a^2*b*sinh(c + d*x) + 6*a^3*d*x + 9*a*b^2*d*x)/(6*d)","B"
65,1,41,50,0.922740,"\text{Not used}","int((a + b*cosh(c + d*x))^2,x)","\frac{\frac{\mathrm{sinh}\left(2\,c+2\,d\,x\right)\,b^2}{4}+2\,a\,\mathrm{sinh}\left(c+d\,x\right)\,b}{d}+a^2\,x+\frac{b^2\,x}{2}","Not used",1,"((b^2*sinh(2*c + 2*d*x))/4 + 2*a*b*sinh(c + d*x))/d + a^2*x + (b^2*x)/2","B"
66,1,15,15,0.056545,"\text{Not used}","int(a + b*cosh(c + d*x),x)","a\,x+\frac{b\,\mathrm{sinh}\left(c+d\,x\right)}{d}","Not used",1,"a*x + (b*sinh(c + d*x))/d","B"
67,1,53,49,1.224665,"\text{Not used}","int(1/(a + b*cosh(c + d*x)),x)","\frac{2\,\mathrm{atan}\left(\frac{a\,d+b\,d\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c}{\sqrt{b^2\,d^2-a^2\,d^2}}\right)}{\sqrt{b^2\,d^2-a^2\,d^2}}","Not used",1,"(2*atan((a*d + b*d*exp(d*x)*exp(c))/(b^2*d^2 - a^2*d^2)^(1/2)))/(b^2*d^2 - a^2*d^2)^(1/2)","B"
68,1,215,86,1.300525,"\text{Not used}","int(1/(a + b*cosh(c + d*x))^2,x)","\frac{\frac{2\,b^2}{d\,\left(a^2\,b-b^3\right)}+\frac{2\,a\,b\,{\mathrm{e}}^{c+d\,x}}{d\,\left(a^2\,b-b^3\right)}}{b+2\,a\,{\mathrm{e}}^{c+d\,x}+b\,{\mathrm{e}}^{2\,c+2\,d\,x}}+\frac{a\,\ln\left(-\frac{2\,a\,{\mathrm{e}}^{c+d\,x}}{b\,\left(a^2-b^2\right)}-\frac{2\,a\,\left(b+a\,{\mathrm{e}}^{c+d\,x}\right)}{b\,{\left(a+b\right)}^{3/2}\,{\left(a-b\right)}^{3/2}}\right)}{d\,{\left(a+b\right)}^{3/2}\,{\left(a-b\right)}^{3/2}}-\frac{a\,\ln\left(\frac{2\,a\,\left(b+a\,{\mathrm{e}}^{c+d\,x}\right)}{b\,{\left(a+b\right)}^{3/2}\,{\left(a-b\right)}^{3/2}}-\frac{2\,a\,{\mathrm{e}}^{c+d\,x}}{b\,\left(a^2-b^2\right)}\right)}{d\,{\left(a+b\right)}^{3/2}\,{\left(a-b\right)}^{3/2}}","Not used",1,"((2*b^2)/(d*(a^2*b - b^3)) + (2*a*b*exp(c + d*x))/(d*(a^2*b - b^3)))/(b + 2*a*exp(c + d*x) + b*exp(2*c + 2*d*x)) + (a*log(- (2*a*exp(c + d*x))/(b*(a^2 - b^2)) - (2*a*(b + a*exp(c + d*x)))/(b*(a + b)^(3/2)*(a - b)^(3/2))))/(d*(a + b)^(3/2)*(a - b)^(3/2)) - (a*log((2*a*(b + a*exp(c + d*x)))/(b*(a + b)^(3/2)*(a - b)^(3/2)) - (2*a*exp(c + d*x))/(b*(a^2 - b^2))))/(d*(a + b)^(3/2)*(a - b)^(3/2))","B"
69,0,-1,133,0.000000,"\text{Not used}","int(1/(a + b*cosh(c + d*x))^3,x)","\int \frac{1}{{\left(a+b\,\mathrm{cosh}\left(c+d\,x\right)\right)}^3} \,d x","Not used",1,"int(1/(a + b*cosh(c + d*x))^3, x)","F"
70,0,-1,184,0.000000,"\text{Not used}","int(1/(a + b*cosh(c + d*x))^4,x)","\int \frac{1}{{\left(a+b\,\mathrm{cosh}\left(c+d\,x\right)\right)}^4} \,d x","Not used",1,"int(1/(a + b*cosh(c + d*x))^4, x)","F"
71,1,34,22,0.125237,"\text{Not used}","int(1/(5*cosh(c + d*x) + 3),x)","\frac{\mathrm{atan}\left(\frac{3\,\sqrt{d^2}+5\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\sqrt{d^2}}{4\,d}\right)}{2\,\sqrt{d^2}}","Not used",1,"atan((3*(d^2)^(1/2) + 5*exp(d*x)*exp(c)*(d^2)^(1/2))/(4*d))/(2*(d^2)^(1/2))","B"
72,1,74,48,0.939325,"\text{Not used}","int(1/(5*cosh(c + d*x) + 3)^2,x)","-\frac{\frac{3\,{\mathrm{e}}^{c+d\,x}}{8\,d}+\frac{5}{8\,d}}{6\,{\mathrm{e}}^{c+d\,x}+5\,{\mathrm{e}}^{2\,c+2\,d\,x}+5}-\frac{3\,\mathrm{atan}\left(\left(\frac{3}{4\,d}+\frac{5\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c}{4\,d}\right)\,\sqrt{d^2}\right)}{32\,\sqrt{d^2}}","Not used",1,"- ((3*exp(c + d*x))/(8*d) + 5/(8*d))/(6*exp(c + d*x) + 5*exp(2*c + 2*d*x) + 5) - (3*atan((3/(4*d) + (5*exp(d*x)*exp(c))/(4*d))*(d^2)^(1/2)))/(32*(d^2)^(1/2))","B"
73,1,137,73,0.958892,"\text{Not used}","int(1/(5*cosh(c + d*x) + 3)^3,x)","\frac{\frac{43\,{\mathrm{e}}^{c+d\,x}}{256\,d}+\frac{129}{1280\,d}}{6\,{\mathrm{e}}^{c+d\,x}+5\,{\mathrm{e}}^{2\,c+2\,d\,x}+5}-\frac{\frac{7\,{\mathrm{e}}^{c+d\,x}}{40\,d}-\frac{3}{8\,d}}{60\,{\mathrm{e}}^{c+d\,x}+86\,{\mathrm{e}}^{2\,c+2\,d\,x}+60\,{\mathrm{e}}^{3\,c+3\,d\,x}+25\,{\mathrm{e}}^{4\,c+4\,d\,x}+25}+\frac{43\,\mathrm{atan}\left(\left(\frac{3}{4\,d}+\frac{5\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c}{4\,d}\right)\,\sqrt{d^2}\right)}{1024\,\sqrt{d^2}}","Not used",1,"((43*exp(c + d*x))/(256*d) + 129/(1280*d))/(6*exp(c + d*x) + 5*exp(2*c + 2*d*x) + 5) - ((7*exp(c + d*x))/(40*d) - 3/(8*d))/(60*exp(c + d*x) + 86*exp(2*c + 2*d*x) + 60*exp(3*c + 3*d*x) + 25*exp(4*c + 4*d*x) + 25) + (43*atan((3/(4*d) + (5*exp(d*x)*exp(c))/(4*d))*(d^2)^(1/2)))/(1024*(d^2)^(1/2))","B"
74,1,223,98,0.948684,"\text{Not used}","int(1/(5*cosh(c + d*x) + 3)^4,x)","\frac{\frac{39\,{\mathrm{e}}^{c+d\,x}}{50\,d}+\frac{7}{30\,d}}{450\,{\mathrm{e}}^{c+d\,x}+915\,{\mathrm{e}}^{2\,c+2\,d\,x}+1116\,{\mathrm{e}}^{3\,c+3\,d\,x}+915\,{\mathrm{e}}^{4\,c+4\,d\,x}+450\,{\mathrm{e}}^{5\,c+5\,d\,x}+125\,{\mathrm{e}}^{6\,c+6\,d\,x}+125}-\frac{\frac{93\,{\mathrm{e}}^{c+d\,x}}{640\,d}+\frac{791}{3200\,d}}{60\,{\mathrm{e}}^{c+d\,x}+86\,{\mathrm{e}}^{2\,c+2\,d\,x}+60\,{\mathrm{e}}^{3\,c+3\,d\,x}+25\,{\mathrm{e}}^{4\,c+4\,d\,x}+25}-\frac{279\,\mathrm{atan}\left(\left(\frac{3}{4\,d}+\frac{5\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c}{4\,d}\right)\,\sqrt{d^2}\right)}{16384\,\sqrt{d^2}}-\frac{\frac{279\,{\mathrm{e}}^{c+d\,x}}{4096\,d}+\frac{837}{20480\,d}}{6\,{\mathrm{e}}^{c+d\,x}+5\,{\mathrm{e}}^{2\,c+2\,d\,x}+5}","Not used",1,"((39*exp(c + d*x))/(50*d) + 7/(30*d))/(450*exp(c + d*x) + 915*exp(2*c + 2*d*x) + 1116*exp(3*c + 3*d*x) + 915*exp(4*c + 4*d*x) + 450*exp(5*c + 5*d*x) + 125*exp(6*c + 6*d*x) + 125) - ((93*exp(c + d*x))/(640*d) + 791/(3200*d))/(60*exp(c + d*x) + 86*exp(2*c + 2*d*x) + 60*exp(3*c + 3*d*x) + 25*exp(4*c + 4*d*x) + 25) - (279*atan((3/(4*d) + (5*exp(d*x)*exp(c))/(4*d))*(d^2)^(1/2)))/(16384*(d^2)^(1/2)) - ((279*exp(c + d*x))/(4096*d) + 837/(20480*d))/(6*exp(c + d*x) + 5*exp(2*c + 2*d*x) + 5)","B"
75,1,40,31,0.943145,"\text{Not used}","int(1/(3*cosh(c + d*x) + 5),x)","-\frac{\mathrm{atan}\left(\frac{5\,\sqrt{-d^2}+3\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c\,\sqrt{-d^2}}{4\,d}\right)}{2\,\sqrt{-d^2}}","Not used",1,"-atan((5*(-d^2)^(1/2) + 3*exp(d*x)*exp(c)*(-d^2)^(1/2))/(4*d))/(2*(-d^2)^(1/2))","B"
76,1,77,56,0.937750,"\text{Not used}","int(1/(3*cosh(c + d*x) + 5)^2,x)","\frac{\frac{5\,{\mathrm{e}}^{c+d\,x}}{8\,d}+\frac{3}{8\,d}}{10\,{\mathrm{e}}^{c+d\,x}+3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3}-\frac{5\,\mathrm{atan}\left(\left(\frac{5}{4\,d}+\frac{3\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c}{4\,d}\right)\,\sqrt{-d^2}\right)}{32\,\sqrt{-d^2}}","Not used",1,"((5*exp(c + d*x))/(8*d) + 3/(8*d))/(10*exp(c + d*x) + 3*exp(2*c + 2*d*x) + 3) - (5*atan((5/(4*d) + (3*exp(d*x)*exp(c))/(4*d))*(-d^2)^(1/2)))/(32*(-d^2)^(1/2))","B"
77,1,141,81,0.954471,"\text{Not used}","int(1/(3*cosh(c + d*x) + 5)^3,x)","\frac{\frac{59\,{\mathrm{e}}^{c+d\,x}}{256\,d}+\frac{295}{768\,d}}{10\,{\mathrm{e}}^{c+d\,x}+3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3}-\frac{59\,\mathrm{atan}\left(\left(\frac{5}{4\,d}+\frac{3\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c}{4\,d}\right)\,\sqrt{-d^2}\right)}{1024\,\sqrt{-d^2}}-\frac{\frac{41\,{\mathrm{e}}^{c+d\,x}}{24\,d}+\frac{5}{8\,d}}{60\,{\mathrm{e}}^{c+d\,x}+118\,{\mathrm{e}}^{2\,c+2\,d\,x}+60\,{\mathrm{e}}^{3\,c+3\,d\,x}+9\,{\mathrm{e}}^{4\,c+4\,d\,x}+9}","Not used",1,"((59*exp(c + d*x))/(256*d) + 295/(768*d))/(10*exp(c + d*x) + 3*exp(2*c + 2*d*x) + 3) - (59*atan((5/(4*d) + (3*exp(d*x)*exp(c))/(4*d))*(-d^2)^(1/2)))/(1024*(-d^2)^(1/2)) - ((41*exp(c + d*x))/(24*d) + 5/(8*d))/(60*exp(c + d*x) + 118*exp(2*c + 2*d*x) + 60*exp(3*c + 3*d*x) + 9*exp(4*c + 4*d*x) + 9)","B"
78,1,226,106,0.113943,"\text{Not used}","int(1/(3*cosh(c + d*x) + 5)^4,x)","\frac{\frac{385\,{\mathrm{e}}^{c+d\,x}}{4096\,d}+\frac{1925}{12288\,d}}{10\,{\mathrm{e}}^{c+d\,x}+3\,{\mathrm{e}}^{2\,c+2\,d\,x}+3}-\frac{385\,\mathrm{atan}\left(\left(\frac{5}{4\,d}+\frac{3\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c}{4\,d}\right)\,\sqrt{-d^2}\right)}{16384\,\sqrt{-d^2}}-\frac{\frac{385\,{\mathrm{e}}^{c+d\,x}}{1152\,d}+\frac{3461}{3456\,d}}{60\,{\mathrm{e}}^{c+d\,x}+118\,{\mathrm{e}}^{2\,c+2\,d\,x}+60\,{\mathrm{e}}^{3\,c+3\,d\,x}+9\,{\mathrm{e}}^{4\,c+4\,d\,x}+9}+\frac{\frac{365\,{\mathrm{e}}^{c+d\,x}}{54\,d}+\frac{41}{18\,d}}{270\,{\mathrm{e}}^{c+d\,x}+981\,{\mathrm{e}}^{2\,c+2\,d\,x}+1540\,{\mathrm{e}}^{3\,c+3\,d\,x}+981\,{\mathrm{e}}^{4\,c+4\,d\,x}+270\,{\mathrm{e}}^{5\,c+5\,d\,x}+27\,{\mathrm{e}}^{6\,c+6\,d\,x}+27}","Not used",1,"((385*exp(c + d*x))/(4096*d) + 1925/(12288*d))/(10*exp(c + d*x) + 3*exp(2*c + 2*d*x) + 3) - (385*atan((5/(4*d) + (3*exp(d*x)*exp(c))/(4*d))*(-d^2)^(1/2)))/(16384*(-d^2)^(1/2)) - ((385*exp(c + d*x))/(1152*d) + 3461/(3456*d))/(60*exp(c + d*x) + 118*exp(2*c + 2*d*x) + 60*exp(3*c + 3*d*x) + 9*exp(4*c + 4*d*x) + 9) + ((365*exp(c + d*x))/(54*d) + 41/(18*d))/(270*exp(c + d*x) + 981*exp(2*c + 2*d*x) + 1540*exp(3*c + 3*d*x) + 981*exp(4*c + 4*d*x) + 270*exp(5*c + 5*d*x) + 27*exp(6*c + 6*d*x) + 27)","B"
79,0,-1,153,0.000000,"\text{Not used}","int((a + b*cosh(x))^(5/2),x)","\int {\left(a+b\,\mathrm{cosh}\left(x\right)\right)}^{5/2} \,d x","Not used",1,"int((a + b*cosh(x))^(5/2), x)","F"
80,0,-1,124,0.000000,"\text{Not used}","int((a + b*cosh(x))^(3/2),x)","\int {\left(a+b\,\mathrm{cosh}\left(x\right)\right)}^{3/2} \,d x","Not used",1,"int((a + b*cosh(x))^(3/2), x)","F"
81,0,-1,61,0.000000,"\text{Not used}","int((a + b*cosh(c + d*x))^(1/2),x)","\int \sqrt{a+b\,\mathrm{cosh}\left(c+d\,x\right)} \,d x","Not used",1,"int((a + b*cosh(c + d*x))^(1/2), x)","F"
82,0,-1,46,0.000000,"\text{Not used}","int(1/(a + b*cosh(x))^(1/2),x)","\int \frac{1}{\sqrt{a+b\,\mathrm{cosh}\left(x\right)}} \,d x","Not used",1,"int(1/(a + b*cosh(x))^(1/2), x)","F"
83,0,-1,84,0.000000,"\text{Not used}","int(1/(a + b*cosh(x))^(3/2),x)","\int \frac{1}{{\left(a+b\,\mathrm{cosh}\left(x\right)\right)}^{3/2}} \,d x","Not used",1,"int(1/(a + b*cosh(x))^(3/2), x)","F"
84,0,-1,177,0.000000,"\text{Not used}","int(1/(a + b*cosh(x))^(5/2),x)","\int \frac{1}{{\left(a+b\,\mathrm{cosh}\left(x\right)\right)}^{5/2}} \,d x","Not used",1,"int(1/(a + b*cosh(x))^(5/2), x)","F"
85,0,-1,227,0.000000,"\text{Not used}","int(1/(a + b*cosh(x))^(7/2),x)","\int \frac{1}{{\left(a+b\,\mathrm{cosh}\left(x\right)\right)}^{7/2}} \,d x","Not used",1,"int(1/(a + b*cosh(x))^(7/2), x)","F"
86,0,-1,100,0.000000,"\text{Not used}","int(cosh(x)/(a + b*cosh(x))^(1/2),x)","\int \frac{\mathrm{cosh}\left(x\right)}{\sqrt{a+b\,\mathrm{cosh}\left(x\right)}} \,d x","Not used",1,"int(cosh(x)/(a + b*cosh(x))^(1/2), x)","F"
87,0,-1,94,0.000000,"\text{Not used}","int((A + B*cosh(x))*(a + a*cosh(x))^(5/2),x)","\int \left(A+B\,\mathrm{cosh}\left(x\right)\right)\,{\left(a+a\,\mathrm{cosh}\left(x\right)\right)}^{5/2} \,d x","Not used",1,"int((A + B*cosh(x))*(a + a*cosh(x))^(5/2), x)","F"
88,0,-1,68,0.000000,"\text{Not used}","int((A + B*cosh(x))*(a + a*cosh(x))^(3/2),x)","\int \left(A+B\,\mathrm{cosh}\left(x\right)\right)\,{\left(a+a\,\mathrm{cosh}\left(x\right)\right)}^{3/2} \,d x","Not used",1,"int((A + B*cosh(x))*(a + a*cosh(x))^(3/2), x)","F"
89,0,-1,40,0.000000,"\text{Not used}","int((A + B*cosh(x))*(a + a*cosh(x))^(1/2),x)","\int \left(A+B\,\mathrm{cosh}\left(x\right)\right)\,\sqrt{a+a\,\mathrm{cosh}\left(x\right)} \,d x","Not used",1,"int((A + B*cosh(x))*(a + a*cosh(x))^(1/2), x)","F"
90,0,-1,98,0.000000,"\text{Not used}","int((A + B*cosh(x))*(a - a*cosh(x))^(5/2),x)","\int \left(A+B\,\mathrm{cosh}\left(x\right)\right)\,{\left(a-a\,\mathrm{cosh}\left(x\right)\right)}^{5/2} \,d x","Not used",1,"int((A + B*cosh(x))*(a - a*cosh(x))^(5/2), x)","F"
91,0,-1,71,0.000000,"\text{Not used}","int((A + B*cosh(x))*(a - a*cosh(x))^(3/2),x)","\int \left(A+B\,\mathrm{cosh}\left(x\right)\right)\,{\left(a-a\,\mathrm{cosh}\left(x\right)\right)}^{3/2} \,d x","Not used",1,"int((A + B*cosh(x))*(a - a*cosh(x))^(3/2), x)","F"
92,0,-1,44,0.000000,"\text{Not used}","int((A + B*cosh(x))*(a - a*cosh(x))^(1/2),x)","\int \left(A+B\,\mathrm{cosh}\left(x\right)\right)\,\sqrt{a-a\,\mathrm{cosh}\left(x\right)} \,d x","Not used",1,"int((A + B*cosh(x))*(a - a*cosh(x))^(1/2), x)","F"
93,1,19,18,0.046401,"\text{Not used}","int((A + B*cosh(x))/(cosh(x) + 1),x)","B\,x-\frac{2\,A-2\,B}{{\mathrm{e}}^x+1}","Not used",1,"B*x - (2*A - 2*B)/(exp(x) + 1)","B"
94,1,30,35,0.076355,"\text{Not used}","int((A + B*cosh(x))/(cosh(x) + 1)^2,x)","-\frac{2\,\left(A+2\,B+3\,A\,{\mathrm{e}}^x+3\,B\,{\mathrm{e}}^x+3\,B\,{\mathrm{e}}^{2\,x}\right)}{3\,{\left({\mathrm{e}}^x+1\right)}^3}","Not used",1,"-(2*(A + 2*B + 3*A*exp(x) + 3*B*exp(x) + 3*B*exp(2*x)))/(3*(exp(x) + 1)^3)","B"
95,1,141,56,0.920372,"\text{Not used}","int((A + B*cosh(x))/(cosh(x) + 1)^3,x)","-\frac{\frac{4\,B\,{\mathrm{e}}^x}{5}+\frac{8\,A\,{\mathrm{e}}^{2\,x}}{5}+\frac{4\,B\,{\mathrm{e}}^{3\,x}}{5}}{10\,{\mathrm{e}}^{2\,x}+10\,{\mathrm{e}}^{3\,x}+5\,{\mathrm{e}}^{4\,x}+{\mathrm{e}}^{5\,x}+5\,{\mathrm{e}}^x+1}-\frac{\frac{B}{5}+\frac{4\,A\,{\mathrm{e}}^x}{5}+\frac{3\,B\,{\mathrm{e}}^{2\,x}}{5}}{6\,{\mathrm{e}}^{2\,x}+4\,{\mathrm{e}}^{3\,x}+{\mathrm{e}}^{4\,x}+4\,{\mathrm{e}}^x+1}-\frac{\frac{4\,A}{15}+\frac{2\,B\,{\mathrm{e}}^x}{5}}{3\,{\mathrm{e}}^{2\,x}+{\mathrm{e}}^{3\,x}+3\,{\mathrm{e}}^x+1}-\frac{B}{5\,\left({\mathrm{e}}^{2\,x}+2\,{\mathrm{e}}^x+1\right)}","Not used",1,"- ((4*B*exp(x))/5 + (8*A*exp(2*x))/5 + (4*B*exp(3*x))/5)/(10*exp(2*x) + 10*exp(3*x) + 5*exp(4*x) + exp(5*x) + 5*exp(x) + 1) - (B/5 + (4*A*exp(x))/5 + (3*B*exp(2*x))/5)/(6*exp(2*x) + 4*exp(3*x) + exp(4*x) + 4*exp(x) + 1) - ((4*A)/15 + (2*B*exp(x))/5)/(3*exp(2*x) + exp(3*x) + 3*exp(x) + 1) - B/(5*(exp(2*x) + 2*exp(x) + 1))","B"
96,1,231,75,0.916821,"\text{Not used}","int((A + B*cosh(x))/(cosh(x) + 1)^4,x)","-\frac{\frac{4\,A}{35}+\frac{8\,B\,{\mathrm{e}}^x}{35}}{6\,{\mathrm{e}}^{2\,x}+4\,{\mathrm{e}}^{3\,x}+{\mathrm{e}}^{4\,x}+4\,{\mathrm{e}}^x+1}-\frac{8\,B}{105\,\left(3\,{\mathrm{e}}^{2\,x}+{\mathrm{e}}^{3\,x}+3\,{\mathrm{e}}^x+1\right)}-\frac{\frac{16\,A\,{\mathrm{e}}^{3\,x}}{7}+\frac{8\,B\,{\mathrm{e}}^{2\,x}}{7}+\frac{8\,B\,{\mathrm{e}}^{4\,x}}{7}}{21\,{\mathrm{e}}^{2\,x}+35\,{\mathrm{e}}^{3\,x}+35\,{\mathrm{e}}^{4\,x}+21\,{\mathrm{e}}^{5\,x}+7\,{\mathrm{e}}^{6\,x}+{\mathrm{e}}^{7\,x}+7\,{\mathrm{e}}^x+1}-\frac{\frac{8\,B\,{\mathrm{e}}^x}{21}+\frac{8\,A\,{\mathrm{e}}^{2\,x}}{7}+\frac{16\,B\,{\mathrm{e}}^{3\,x}}{21}}{15\,{\mathrm{e}}^{2\,x}+20\,{\mathrm{e}}^{3\,x}+15\,{\mathrm{e}}^{4\,x}+6\,{\mathrm{e}}^{5\,x}+{\mathrm{e}}^{6\,x}+6\,{\mathrm{e}}^x+1}-\frac{\frac{8\,B}{105}+\frac{16\,A\,{\mathrm{e}}^x}{35}+\frac{16\,B\,{\mathrm{e}}^{2\,x}}{35}}{10\,{\mathrm{e}}^{2\,x}+10\,{\mathrm{e}}^{3\,x}+5\,{\mathrm{e}}^{4\,x}+{\mathrm{e}}^{5\,x}+5\,{\mathrm{e}}^x+1}","Not used",1,"- ((4*A)/35 + (8*B*exp(x))/35)/(6*exp(2*x) + 4*exp(3*x) + exp(4*x) + 4*exp(x) + 1) - (8*B)/(105*(3*exp(2*x) + exp(3*x) + 3*exp(x) + 1)) - ((16*A*exp(3*x))/7 + (8*B*exp(2*x))/7 + (8*B*exp(4*x))/7)/(21*exp(2*x) + 35*exp(3*x) + 35*exp(4*x) + 21*exp(5*x) + 7*exp(6*x) + exp(7*x) + 7*exp(x) + 1) - ((8*B*exp(x))/21 + (8*A*exp(2*x))/7 + (16*B*exp(3*x))/21)/(15*exp(2*x) + 20*exp(3*x) + 15*exp(4*x) + 6*exp(5*x) + exp(6*x) + 6*exp(x) + 1) - ((8*B)/105 + (16*A*exp(x))/35 + (16*B*exp(2*x))/35)/(10*exp(2*x) + 10*exp(3*x) + 5*exp(4*x) + exp(5*x) + 5*exp(x) + 1)","B"
97,1,19,20,0.053025,"\text{Not used}","int(-(A + B*cosh(x))/(cosh(x) - 1),x)","\frac{2\,A+2\,B}{{\mathrm{e}}^x-1}-B\,x","Not used",1,"(2*A + 2*B)/(exp(x) - 1) - B*x","B"
98,1,32,37,0.932849,"\text{Not used}","int((A + B*cosh(x))/(cosh(x) - 1)^2,x)","-\frac{2\,\left(2\,B-A+3\,A\,{\mathrm{e}}^x-3\,B\,{\mathrm{e}}^x+3\,B\,{\mathrm{e}}^{2\,x}\right)}{3\,{\left({\mathrm{e}}^x-1\right)}^3}","Not used",1,"-(2*(2*B - A + 3*A*exp(x) - 3*B*exp(x) + 3*B*exp(2*x)))/(3*(exp(x) - 1)^3)","B"
99,1,143,60,0.081331,"\text{Not used}","int(-(A + B*cosh(x))/(cosh(x) - 1)^3,x)","\frac{\frac{B}{5}+\frac{4\,A\,{\mathrm{e}}^x}{5}+\frac{3\,B\,{\mathrm{e}}^{2\,x}}{5}}{6\,{\mathrm{e}}^{2\,x}-4\,{\mathrm{e}}^{3\,x}+{\mathrm{e}}^{4\,x}-4\,{\mathrm{e}}^x+1}-\frac{\frac{4\,A}{15}+\frac{2\,B\,{\mathrm{e}}^x}{5}}{3\,{\mathrm{e}}^{2\,x}-{\mathrm{e}}^{3\,x}-3\,{\mathrm{e}}^x+1}-\frac{\frac{4\,B\,{\mathrm{e}}^x}{5}+\frac{8\,A\,{\mathrm{e}}^{2\,x}}{5}+\frac{4\,B\,{\mathrm{e}}^{3\,x}}{5}}{10\,{\mathrm{e}}^{2\,x}-10\,{\mathrm{e}}^{3\,x}+5\,{\mathrm{e}}^{4\,x}-{\mathrm{e}}^{5\,x}-5\,{\mathrm{e}}^x+1}+\frac{B}{5\,\left({\mathrm{e}}^{2\,x}-2\,{\mathrm{e}}^x+1\right)}","Not used",1,"(B/5 + (4*A*exp(x))/5 + (3*B*exp(2*x))/5)/(6*exp(2*x) - 4*exp(3*x) + exp(4*x) - 4*exp(x) + 1) - ((4*A)/15 + (2*B*exp(x))/5)/(3*exp(2*x) - exp(3*x) - 3*exp(x) + 1) - ((4*B*exp(x))/5 + (8*A*exp(2*x))/5 + (4*B*exp(3*x))/5)/(10*exp(2*x) - 10*exp(3*x) + 5*exp(4*x) - exp(5*x) - 5*exp(x) + 1) + B/(5*(exp(2*x) - 2*exp(x) + 1))","B"
100,1,233,81,0.917375,"\text{Not used}","int((A + B*cosh(x))/(cosh(x) - 1)^4,x)","\frac{\frac{8\,B}{105}+\frac{16\,A\,{\mathrm{e}}^x}{35}+\frac{16\,B\,{\mathrm{e}}^{2\,x}}{35}}{10\,{\mathrm{e}}^{2\,x}-10\,{\mathrm{e}}^{3\,x}+5\,{\mathrm{e}}^{4\,x}-{\mathrm{e}}^{5\,x}-5\,{\mathrm{e}}^x+1}-\frac{\frac{4\,A}{35}+\frac{8\,B\,{\mathrm{e}}^x}{35}}{6\,{\mathrm{e}}^{2\,x}-4\,{\mathrm{e}}^{3\,x}+{\mathrm{e}}^{4\,x}-4\,{\mathrm{e}}^x+1}-\frac{\frac{8\,B\,{\mathrm{e}}^x}{21}+\frac{8\,A\,{\mathrm{e}}^{2\,x}}{7}+\frac{16\,B\,{\mathrm{e}}^{3\,x}}{21}}{15\,{\mathrm{e}}^{2\,x}-20\,{\mathrm{e}}^{3\,x}+15\,{\mathrm{e}}^{4\,x}-6\,{\mathrm{e}}^{5\,x}+{\mathrm{e}}^{6\,x}-6\,{\mathrm{e}}^x+1}+\frac{8\,B}{105\,\left(3\,{\mathrm{e}}^{2\,x}-{\mathrm{e}}^{3\,x}-3\,{\mathrm{e}}^x+1\right)}+\frac{\frac{16\,A\,{\mathrm{e}}^{3\,x}}{7}+\frac{8\,B\,{\mathrm{e}}^{2\,x}}{7}+\frac{8\,B\,{\mathrm{e}}^{4\,x}}{7}}{21\,{\mathrm{e}}^{2\,x}-35\,{\mathrm{e}}^{3\,x}+35\,{\mathrm{e}}^{4\,x}-21\,{\mathrm{e}}^{5\,x}+7\,{\mathrm{e}}^{6\,x}-{\mathrm{e}}^{7\,x}-7\,{\mathrm{e}}^x+1}","Not used",1,"((8*B)/105 + (16*A*exp(x))/35 + (16*B*exp(2*x))/35)/(10*exp(2*x) - 10*exp(3*x) + 5*exp(4*x) - exp(5*x) - 5*exp(x) + 1) - ((4*A)/35 + (8*B*exp(x))/35)/(6*exp(2*x) - 4*exp(3*x) + exp(4*x) - 4*exp(x) + 1) - ((8*B*exp(x))/21 + (8*A*exp(2*x))/7 + (16*B*exp(3*x))/21)/(15*exp(2*x) - 20*exp(3*x) + 15*exp(4*x) - 6*exp(5*x) + exp(6*x) - 6*exp(x) + 1) + (8*B)/(105*(3*exp(2*x) - exp(3*x) - 3*exp(x) + 1)) + ((16*A*exp(3*x))/7 + (8*B*exp(2*x))/7 + (8*B*exp(4*x))/7)/(21*exp(2*x) - 35*exp(3*x) + 35*exp(4*x) - 21*exp(5*x) + 7*exp(6*x) - exp(7*x) - 7*exp(x) + 1)","B"
101,0,-1,56,0.000000,"\text{Not used}","int((A + B*cosh(x))/(a + a*cosh(x))^(1/2),x)","\int \frac{A+B\,\mathrm{cosh}\left(x\right)}{\sqrt{a+a\,\mathrm{cosh}\left(x\right)}} \,d x","Not used",1,"int((A + B*cosh(x))/(a + a*cosh(x))^(1/2), x)","F"
102,0,-1,65,0.000000,"\text{Not used}","int((A + B*cosh(x))/(a + a*cosh(x))^(3/2),x)","\int \frac{A+B\,\mathrm{cosh}\left(x\right)}{{\left(a+a\,\mathrm{cosh}\left(x\right)\right)}^{3/2}} \,d x","Not used",1,"int((A + B*cosh(x))/(a + a*cosh(x))^(3/2), x)","F"
103,0,-1,93,0.000000,"\text{Not used}","int((A + B*cosh(x))/(a + a*cosh(x))^(5/2),x)","\int \frac{A+B\,\mathrm{cosh}\left(x\right)}{{\left(a+a\,\mathrm{cosh}\left(x\right)\right)}^{5/2}} \,d x","Not used",1,"int((A + B*cosh(x))/(a + a*cosh(x))^(5/2), x)","F"
104,0,-1,57,0.000000,"\text{Not used}","int((A + B*cosh(x))/(a - a*cosh(x))^(1/2),x)","\int \frac{A+B\,\mathrm{cosh}\left(x\right)}{\sqrt{a-a\,\mathrm{cosh}\left(x\right)}} \,d x","Not used",1,"int((A + B*cosh(x))/(a - a*cosh(x))^(1/2), x)","F"
105,0,-1,65,0.000000,"\text{Not used}","int((A + B*cosh(x))/(a - a*cosh(x))^(3/2),x)","\int \frac{A+B\,\mathrm{cosh}\left(x\right)}{{\left(a-a\,\mathrm{cosh}\left(x\right)\right)}^{3/2}} \,d x","Not used",1,"int((A + B*cosh(x))/(a - a*cosh(x))^(3/2), x)","F"
106,0,-1,94,0.000000,"\text{Not used}","int((A + B*cosh(x))/(a - a*cosh(x))^(5/2),x)","\int \frac{A+B\,\mathrm{cosh}\left(x\right)}{{\left(a-a\,\mathrm{cosh}\left(x\right)\right)}^{5/2}} \,d x","Not used",1,"int((A + B*cosh(x))/(a - a*cosh(x))^(5/2), x)","F"
107,0,-1,233,0.000000,"\text{Not used}","int((A + B*cosh(x))*(a + b*cosh(x))^(5/2),x)","\int \left(A+B\,\mathrm{cosh}\left(x\right)\right)\,{\left(a+b\,\mathrm{cosh}\left(x\right)\right)}^{5/2} \,d x","Not used",1,"int((A + B*cosh(x))*(a + b*cosh(x))^(5/2), x)","F"
108,0,-1,181,0.000000,"\text{Not used}","int((A + B*cosh(x))*(a + b*cosh(x))^(3/2),x)","\int \left(A+B\,\mathrm{cosh}\left(x\right)\right)\,{\left(a+b\,\mathrm{cosh}\left(x\right)\right)}^{3/2} \,d x","Not used",1,"int((A + B*cosh(x))*(a + b*cosh(x))^(3/2), x)","F"
109,0,-1,138,0.000000,"\text{Not used}","int((A + B*cosh(x))*(a + b*cosh(x))^(1/2),x)","\int \left(A+B\,\mathrm{cosh}\left(x\right)\right)\,\sqrt{a+b\,\mathrm{cosh}\left(x\right)} \,d x","Not used",1,"int((A + B*cosh(x))*(a + b*cosh(x))^(1/2), x)","F"
110,1,242,60,1.123181,"\text{Not used}","int((A + B*cosh(x))/(a + b*cosh(x)),x)","\frac{2\,\mathrm{atan}\left(\frac{b^2\,{\mathrm{e}}^x\,\sqrt{b^4-a^2\,b^2}\,\left(\frac{2\,\left(A\,b\,\sqrt{b^4-a^2\,b^2}-B\,a\,\sqrt{b^4-a^2\,b^2}\right)}{b^4\,\sqrt{b^4-a^2\,b^2}\,\sqrt{{\left(A\,b-B\,a\right)}^2}}+\frac{2\,a^2\,\sqrt{A^2\,b^2-2\,A\,B\,a\,b+B^2\,a^2}}{b^2\,\left(b^4-a^2\,b^2\right)\,\left(A\,b-B\,a\right)}\right)}{2}+\frac{a\,b\,\sqrt{A^2\,b^2-2\,A\,B\,a\,b+B^2\,a^2}}{\sqrt{b^4-a^2\,b^2}\,\left(A\,b-B\,a\right)}\right)\,\sqrt{A^2\,b^2-2\,A\,B\,a\,b+B^2\,a^2}}{\sqrt{b^4-a^2\,b^2}}+\frac{B\,x}{b}","Not used",1,"(2*atan((b^2*exp(x)*(b^4 - a^2*b^2)^(1/2)*((2*(A*b*(b^4 - a^2*b^2)^(1/2) - B*a*(b^4 - a^2*b^2)^(1/2)))/(b^4*(b^4 - a^2*b^2)^(1/2)*((A*b - B*a)^2)^(1/2)) + (2*a^2*(A^2*b^2 + B^2*a^2 - 2*A*B*a*b)^(1/2))/(b^2*(b^4 - a^2*b^2)*(A*b - B*a))))/2 + (a*b*(A^2*b^2 + B^2*a^2 - 2*A*B*a*b)^(1/2))/((b^4 - a^2*b^2)^(1/2)*(A*b - B*a)))*(A^2*b^2 + B^2*a^2 - 2*A*B*a*b)^(1/2))/(b^4 - a^2*b^2)^(1/2) + (B*x)/b","B"
111,1,246,82,1.420079,"\text{Not used}","int((A + B*cosh(x))/(a + b*cosh(x))^2,x)","\frac{\frac{2\,\left(A\,b^3-B\,a\,b^2\right)}{b\,\left(a^2\,b-b^3\right)}-\frac{2\,{\mathrm{e}}^x\,\left(B\,a^2\,b^2-A\,a\,b^3\right)}{b^2\,\left(a^2\,b-b^3\right)}}{b+2\,a\,{\mathrm{e}}^x+b\,{\mathrm{e}}^{2\,x}}+\frac{\ln\left(-\frac{2\,{\mathrm{e}}^x\,\left(A\,a-B\,b\right)}{b\,\left(a^2-b^2\right)}-\frac{2\,\left(b+a\,{\mathrm{e}}^x\right)\,\left(A\,a-B\,b\right)}{b\,{\left(a+b\right)}^{3/2}\,{\left(a-b\right)}^{3/2}}\right)\,\left(A\,a-B\,b\right)}{{\left(a+b\right)}^{3/2}\,{\left(a-b\right)}^{3/2}}-\frac{\ln\left(\frac{2\,\left(b+a\,{\mathrm{e}}^x\right)\,\left(A\,a-B\,b\right)}{b\,{\left(a+b\right)}^{3/2}\,{\left(a-b\right)}^{3/2}}-\frac{2\,{\mathrm{e}}^x\,\left(A\,a-B\,b\right)}{b\,\left(a^2-b^2\right)}\right)\,\left(A\,a-B\,b\right)}{{\left(a+b\right)}^{3/2}\,{\left(a-b\right)}^{3/2}}","Not used",1,"((2*(A*b^3 - B*a*b^2))/(b*(a^2*b - b^3)) - (2*exp(x)*(B*a^2*b^2 - A*a*b^3))/(b^2*(a^2*b - b^3)))/(b + 2*a*exp(x) + b*exp(2*x)) + (log(- (2*exp(x)*(A*a - B*b))/(b*(a^2 - b^2)) - (2*(b + a*exp(x))*(A*a - B*b))/(b*(a + b)^(3/2)*(a - b)^(3/2)))*(A*a - B*b))/((a + b)^(3/2)*(a - b)^(3/2)) - (log((2*(b + a*exp(x))*(A*a - B*b))/(b*(a + b)^(3/2)*(a - b)^(3/2)) - (2*exp(x)*(A*a - B*b))/(b*(a^2 - b^2)))*(A*a - B*b))/((a + b)^(3/2)*(a - b)^(3/2))","B"
112,0,-1,135,0.000000,"\text{Not used}","int((A + B*cosh(x))/(a + b*cosh(x))^3,x)","\int \frac{A+B\,\mathrm{cosh}\left(x\right)}{{\left(a+b\,\mathrm{cosh}\left(x\right)\right)}^3} \,d x","Not used",1,"int((A + B*cosh(x))/(a + b*cosh(x))^3, x)","F"
113,0,-1,197,0.000000,"\text{Not used}","int((A + B*cosh(x))/(a + b*cosh(x))^4,x)","\int \frac{A+B\,\mathrm{cosh}\left(x\right)}{{\left(a+b\,\mathrm{cosh}\left(x\right)\right)}^4} \,d x","Not used",1,"int((A + B*cosh(x))/(a + b*cosh(x))^4, x)","F"
114,1,205,56,0.494385,"\text{Not used}","int((B*cosh(x) + (B*b)/a)/(a + b*cosh(x)),x)","\frac{2\,\mathrm{atan}\left(\frac{b\,\sqrt{a^2\,b^2}\,\sqrt{B^2\,b^2-B^2\,a^2}}{B\,\left(b^4-a^2\,b^2\right)}+\frac{a\,b^2\,{\mathrm{e}}^x\,\left(\frac{2\,\sqrt{B^2\,b^2-B^2\,a^2}}{B\,b^2\,\left(b^4-a^2\,b^2\right)}-\frac{2\,\left(B\,a^2\,\sqrt{a^2\,b^2}-B\,b^2\,\sqrt{a^2\,b^2}\right)}{a^2\,b^4\,\sqrt{-B^2\,\left(a^2-b^2\right)}\,\sqrt{a^2\,b^2}}\right)\,\sqrt{a^2\,b^2}}{2}\right)\,\sqrt{B^2\,b^2-B^2\,a^2}}{\sqrt{a^2\,b^2}}+\frac{B\,x}{b}","Not used",1,"(2*atan((b*(a^2*b^2)^(1/2)*(B^2*b^2 - B^2*a^2)^(1/2))/(B*(b^4 - a^2*b^2)) + (a*b^2*exp(x)*((2*(B^2*b^2 - B^2*a^2)^(1/2))/(B*b^2*(b^4 - a^2*b^2)) - (2*(B*a^2*(a^2*b^2)^(1/2) - B*b^2*(a^2*b^2)^(1/2)))/(a^2*b^4*(-B^2*(a^2 - b^2))^(1/2)*(a^2*b^2)^(1/2)))*(a^2*b^2)^(1/2))/2)*(B^2*b^2 - B^2*a^2)^(1/2))/(a^2*b^2)^(1/2) + (B*x)/b","B"
115,1,6,6,0.019733,"\text{Not used}","int((B*cosh(x) + (B*a)/b)/(a + b*cosh(x)),x)","\frac{B\,x}{b}","Not used",1,"(B*x)/b","B"
116,1,51,11,1.019808,"\text{Not used}","int((a + b*cosh(x))/(b + a*cosh(x))^2,x)","-\frac{\frac{2\,{\mathrm{e}}^x\,\left(a\,b^3-a^3\,b\right)}{a\,\left(a\,b^2-a^3\right)}+2}{a+2\,b\,{\mathrm{e}}^x+a\,{\mathrm{e}}^{2\,x}}","Not used",1,"-((2*exp(x)*(a*b^3 - a^3*b))/(a*(a*b^2 - a^3)) + 2)/(a + 2*b*exp(x) + a*exp(2*x))","B"
117,1,48,36,0.111199,"\text{Not used}","int(-(cosh(x) + 3)/(cosh(x) - 2),x)","\frac{5\,\sqrt{3}\,\ln\left(10\,{\mathrm{e}}^x+\frac{5\,\sqrt{3}\,\left(4\,{\mathrm{e}}^x-2\right)}{3}\right)}{3}-\frac{5\,\sqrt{3}\,\ln\left(10\,{\mathrm{e}}^x-\frac{5\,\sqrt{3}\,\left(4\,{\mathrm{e}}^x-2\right)}{3}\right)}{3}-x","Not used",1,"(5*3^(1/2)*log(10*exp(x) + (5*3^(1/2)*(4*exp(x) - 2))/3))/3 - (5*3^(1/2)*log(10*exp(x) - (5*3^(1/2)*(4*exp(x) - 2))/3))/3 - x","B"
118,0,-1,108,0.000000,"\text{Not used}","int((A + B*cosh(x))/(a + b*cosh(x))^(1/2),x)","\int \frac{A+B\,\mathrm{cosh}\left(x\right)}{\sqrt{a+b\,\mathrm{cosh}\left(x\right)}} \,d x","Not used",1,"int((A + B*cosh(x))/(a + b*cosh(x))^(1/2), x)","F"
119,0,-1,152,0.000000,"\text{Not used}","int((A + B*cosh(x))/(a + b*cosh(x))^(3/2),x)","\int \frac{A+B\,\mathrm{cosh}\left(x\right)}{{\left(a+b\,\mathrm{cosh}\left(x\right)\right)}^{3/2}} \,d x","Not used",1,"int((A + B*cosh(x))/(a + b*cosh(x))^(3/2), x)","F"
120,0,-1,231,0.000000,"\text{Not used}","int((A + B*cosh(x))/(a + b*cosh(x))^(5/2),x)","\int \frac{A+B\,\mathrm{cosh}\left(x\right)}{{\left(a+b\,\mathrm{cosh}\left(x\right)\right)}^{5/2}} \,d x","Not used",1,"int((A + B*cosh(x))/(a + b*cosh(x))^(5/2), x)","F"
121,0,-1,72,0.000000,"\text{Not used}","int((a*cosh(x)^2)^(7/2),x)","\int {\left(a\,{\mathrm{cosh}\left(x\right)}^2\right)}^{7/2} \,d x","Not used",1,"int((a*cosh(x)^2)^(7/2), x)","F"
122,0,-1,53,0.000000,"\text{Not used}","int((a*cosh(x)^2)^(5/2),x)","\int {\left(a\,{\mathrm{cosh}\left(x\right)}^2\right)}^{5/2} \,d x","Not used",1,"int((a*cosh(x)^2)^(5/2), x)","F"
123,0,-1,34,0.000000,"\text{Not used}","int((a*cosh(x)^2)^(3/2),x)","\int {\left(a\,{\mathrm{cosh}\left(x\right)}^2\right)}^{3/2} \,d x","Not used",1,"int((a*cosh(x)^2)^(3/2), x)","F"
124,1,17,13,0.053299,"\text{Not used}","int((a*cosh(x)^2)^(1/2),x)","\sqrt{a}\,\mathrm{tanh}\left(x\right)\,\left(\frac{{\mathrm{e}}^{-x}}{2}+\frac{{\mathrm{e}}^x}{2}\right)","Not used",1,"a^(1/2)*tanh(x)*(exp(-x)/2 + exp(x)/2)","B"
125,0,-1,16,0.000000,"\text{Not used}","int(1/(a*cosh(x)^2)^(1/2),x)","\int \frac{1}{\sqrt{a\,{\mathrm{cosh}\left(x\right)}^2}} \,d x","Not used",1,"int(1/(a*cosh(x)^2)^(1/2), x)","F"
126,0,-1,42,0.000000,"\text{Not used}","int(1/(a*cosh(x)^2)^(3/2),x)","\int \frac{1}{{\left(a\,{\mathrm{cosh}\left(x\right)}^2\right)}^{3/2}} \,d x","Not used",1,"int(1/(a*cosh(x)^2)^(3/2), x)","F"
127,0,-1,61,0.000000,"\text{Not used}","int(1/(a*cosh(x)^2)^(5/2),x)","\int \frac{1}{{\left(a\,{\mathrm{cosh}\left(x\right)}^2\right)}^{5/2}} \,d x","Not used",1,"int(1/(a*cosh(x)^2)^(5/2), x)","F"
128,0,-1,121,0.000000,"\text{Not used}","int((a*cosh(x)^3)^(5/2),x)","\int {\left(a\,{\mathrm{cosh}\left(x\right)}^3\right)}^{5/2} \,d x","Not used",1,"int((a*cosh(x)^3)^(5/2), x)","F"
129,0,-1,71,0.000000,"\text{Not used}","int((a*cosh(x)^3)^(3/2),x)","\int {\left(a\,{\mathrm{cosh}\left(x\right)}^3\right)}^{3/2} \,d x","Not used",1,"int((a*cosh(x)^3)^(3/2), x)","F"
130,0,-1,48,0.000000,"\text{Not used}","int((a*cosh(x)^3)^(1/2),x)","\int \sqrt{a\,{\mathrm{cosh}\left(x\right)}^3} \,d x","Not used",1,"int((a*cosh(x)^3)^(1/2), x)","F"
131,0,-1,46,0.000000,"\text{Not used}","int(1/(a*cosh(x)^3)^(1/2),x)","\int \frac{1}{\sqrt{a\,{\mathrm{cosh}\left(x\right)}^3}} \,d x","Not used",1,"int(1/(a*cosh(x)^3)^(1/2), x)","F"
132,0,-1,75,0.000000,"\text{Not used}","int(1/(a*cosh(x)^3)^(3/2),x)","\int \frac{1}{{\left(a\,{\mathrm{cosh}\left(x\right)}^3\right)}^{3/2}} \,d x","Not used",1,"int(1/(a*cosh(x)^3)^(3/2), x)","F"
133,0,-1,121,0.000000,"\text{Not used}","int(1/(a*cosh(x)^3)^(5/2),x)","\int \frac{1}{{\left(a\,{\mathrm{cosh}\left(x\right)}^3\right)}^{5/2}} \,d x","Not used",1,"int(1/(a*cosh(x)^3)^(5/2), x)","F"
134,0,-1,132,0.000000,"\text{Not used}","int((a*cosh(x)^4)^(5/2),x)","\int {\left(a\,{\mathrm{cosh}\left(x\right)}^4\right)}^{5/2} \,d x","Not used",1,"int((a*cosh(x)^4)^(5/2), x)","F"
135,0,-1,78,0.000000,"\text{Not used}","int((a*cosh(x)^4)^(3/2),x)","\int {\left(a\,{\mathrm{cosh}\left(x\right)}^4\right)}^{3/2} \,d x","Not used",1,"int((a*cosh(x)^4)^(3/2), x)","F"
136,0,-1,36,0.000000,"\text{Not used}","int((a*cosh(x)^4)^(1/2),x)","\int \sqrt{a\,{\mathrm{cosh}\left(x\right)}^4} \,d x","Not used",1,"int((a*cosh(x)^4)^(1/2), x)","F"
137,1,39,15,0.064724,"\text{Not used}","int(1/(a*cosh(x)^4)^(1/2),x)","-\frac{{\mathrm{e}}^{-x}\,\sqrt{a\,{\left(\frac{{\mathrm{e}}^{-x}}{2}+\frac{{\mathrm{e}}^x}{2}\right)}^4}}{a\,{\left(\frac{{\mathrm{e}}^{-x}}{2}+\frac{{\mathrm{e}}^x}{2}\right)}^3}","Not used",1,"-(exp(-x)*(a*(exp(-x)/2 + exp(x)/2)^4)^(1/2))/(a*(exp(-x)/2 + exp(x)/2)^3)","B"
138,1,48,67,0.970239,"\text{Not used}","int(1/(a*cosh(x)^4)^(3/2),x)","-\frac{64\,{\mathrm{e}}^{2\,x}\,\sqrt{a\,{\left(\frac{{\mathrm{e}}^{-x}}{2}+\frac{{\mathrm{e}}^x}{2}\right)}^4}\,\left(5\,{\mathrm{e}}^{2\,x}+10\,{\mathrm{e}}^{4\,x}+1\right)}{15\,a^2\,{\left({\mathrm{e}}^{2\,x}+1\right)}^7}","Not used",1,"-(64*exp(2*x)*(a*(exp(-x)/2 + exp(x)/2)^4)^(1/2)*(5*exp(2*x) + 10*exp(4*x) + 1))/(15*a^2*(exp(2*x) + 1)^7)","B"
139,1,256,117,0.986189,"\text{Not used}","int(1/(a*cosh(x)^4)^(5/2),x)","\frac{4096\,{\mathrm{e}}^{4\,x}\,\sqrt{a\,{\left(\frac{{\mathrm{e}}^{-x}}{2}+\frac{{\mathrm{e}}^x}{2}\right)}^4}}{3\,a^3\,{\left({\mathrm{e}}^{2\,x}+1\right)}^6\,\left({\mathrm{e}}^{2\,x}+2\,{\mathrm{e}}^{4\,x}+{\mathrm{e}}^{6\,x}\right)}-\frac{2048\,{\mathrm{e}}^{4\,x}\,\sqrt{a\,{\left(\frac{{\mathrm{e}}^{-x}}{2}+\frac{{\mathrm{e}}^x}{2}\right)}^4}}{5\,a^3\,{\left({\mathrm{e}}^{2\,x}+1\right)}^5\,\left({\mathrm{e}}^{2\,x}+2\,{\mathrm{e}}^{4\,x}+{\mathrm{e}}^{6\,x}\right)}-\frac{12288\,{\mathrm{e}}^{4\,x}\,\sqrt{a\,{\left(\frac{{\mathrm{e}}^{-x}}{2}+\frac{{\mathrm{e}}^x}{2}\right)}^4}}{7\,a^3\,{\left({\mathrm{e}}^{2\,x}+1\right)}^7\,\left({\mathrm{e}}^{2\,x}+2\,{\mathrm{e}}^{4\,x}+{\mathrm{e}}^{6\,x}\right)}+\frac{1024\,{\mathrm{e}}^{4\,x}\,\sqrt{a\,{\left(\frac{{\mathrm{e}}^{-x}}{2}+\frac{{\mathrm{e}}^x}{2}\right)}^4}}{a^3\,{\left({\mathrm{e}}^{2\,x}+1\right)}^8\,\left({\mathrm{e}}^{2\,x}+2\,{\mathrm{e}}^{4\,x}+{\mathrm{e}}^{6\,x}\right)}-\frac{2048\,{\mathrm{e}}^{4\,x}\,\sqrt{a\,{\left(\frac{{\mathrm{e}}^{-x}}{2}+\frac{{\mathrm{e}}^x}{2}\right)}^4}}{9\,a^3\,{\left({\mathrm{e}}^{2\,x}+1\right)}^9\,\left({\mathrm{e}}^{2\,x}+2\,{\mathrm{e}}^{4\,x}+{\mathrm{e}}^{6\,x}\right)}","Not used",1,"(4096*exp(4*x)*(a*(exp(-x)/2 + exp(x)/2)^4)^(1/2))/(3*a^3*(exp(2*x) + 1)^6*(exp(2*x) + 2*exp(4*x) + exp(6*x))) - (2048*exp(4*x)*(a*(exp(-x)/2 + exp(x)/2)^4)^(1/2))/(5*a^3*(exp(2*x) + 1)^5*(exp(2*x) + 2*exp(4*x) + exp(6*x))) - (12288*exp(4*x)*(a*(exp(-x)/2 + exp(x)/2)^4)^(1/2))/(7*a^3*(exp(2*x) + 1)^7*(exp(2*x) + 2*exp(4*x) + exp(6*x))) + (1024*exp(4*x)*(a*(exp(-x)/2 + exp(x)/2)^4)^(1/2))/(a^3*(exp(2*x) + 1)^8*(exp(2*x) + 2*exp(4*x) + exp(6*x))) - (2048*exp(4*x)*(a*(exp(-x)/2 + exp(x)/2)^4)^(1/2))/(9*a^3*(exp(2*x) + 1)^9*(exp(2*x) + 2*exp(4*x) + exp(6*x)))","B"
140,1,8,8,0.073846,"\text{Not used}","int(sinh(x)/(cosh(x) + 1)^2,x)","-\frac{1}{\mathrm{cosh}\left(x\right)+1}","Not used",1,"-1/(cosh(x) + 1)","B"
141,1,8,8,0.907642,"\text{Not used}","int(sinh(x)/(cosh(x) - 1)^2,x)","-\frac{1}{\mathrm{cosh}\left(x\right)-1}","Not used",1,"-1/(cosh(x) - 1)","B"
142,1,10,12,0.896553,"\text{Not used}","int(sinh(x)^2/(cosh(x) + 1)^2,x)","x+\frac{4}{{\mathrm{e}}^x+1}","Not used",1,"x + 4/(exp(x) + 1)","B"
143,1,10,14,0.045244,"\text{Not used}","int(sinh(x)^2/(cosh(x) - 1)^2,x)","x-\frac{4}{{\mathrm{e}}^x-1}","Not used",1,"x - 4/(exp(x) - 1)","B"
144,1,10,10,0.940437,"\text{Not used}","int(sinh(x)^3/(cosh(x) + 1)^2,x)","\mathrm{cosh}\left(x\right)-2\,\ln\left(\mathrm{cosh}\left(x\right)+1\right)","Not used",1,"cosh(x) - 2*log(cosh(x) + 1)","B"
145,1,10,12,0.944086,"\text{Not used}","int(sinh(x)^3/(cosh(x) - 1)^2,x)","2\,\ln\left(\mathrm{cosh}\left(x\right)-1\right)+\mathrm{cosh}\left(x\right)","Not used",1,"2*log(cosh(x) - 1) + cosh(x)","B"
146,1,8,10,0.919718,"\text{Not used}","int(sinh(x)/(cosh(x) + 1)^3,x)","-\frac{1}{2\,{\left(\mathrm{cosh}\left(x\right)+1\right)}^2}","Not used",1,"-1/(2*(cosh(x) + 1)^2)","B"
147,1,8,12,0.075874,"\text{Not used}","int(-sinh(x)/(cosh(x) - 1)^3,x)","\frac{1}{2\,{\left(\mathrm{cosh}\left(x\right)-1\right)}^2}","Not used",1,"1/(2*(cosh(x) - 1)^2)","B"
148,1,16,14,0.924956,"\text{Not used}","int(sinh(x)^2/(cosh(x) + 1)^3,x)","-\frac{2\,\left(3\,{\mathrm{e}}^{2\,x}+1\right)}{3\,{\left({\mathrm{e}}^x+1\right)}^3}","Not used",1,"-(2*(3*exp(2*x) + 1))/(3*(exp(x) + 1)^3)","B"
149,1,16,16,0.921892,"\text{Not used}","int(-sinh(x)^2/(cosh(x) - 1)^3,x)","\frac{2\,\left(3\,{\mathrm{e}}^{2\,x}+1\right)}{3\,{\left({\mathrm{e}}^x-1\right)}^3}","Not used",1,"(2*(3*exp(2*x) + 1))/(3*(exp(x) - 1)^3)","B"
150,1,14,14,0.984185,"\text{Not used}","int(sinh(x)^3/(cosh(x) + 1)^3,x)","\ln\left(\mathrm{cosh}\left(x\right)+1\right)+\frac{2}{\mathrm{cosh}\left(x\right)+1}","Not used",1,"log(cosh(x) + 1) + 2/(cosh(x) + 1)","B"
151,1,16,20,0.993570,"\text{Not used}","int(-sinh(x)^3/(cosh(x) - 1)^3,x)","\frac{2}{\mathrm{cosh}\left(x\right)-1}-\ln\left(\mathrm{cosh}\left(x\right)-1\right)","Not used",1,"2/(cosh(x) - 1) - log(cosh(x) - 1)","B"
152,1,131,57,1.261635,"\text{Not used}","int(sinh(x)^8/(a + a*cosh(x)),x)","\frac{5\,{\mathrm{e}}^{-x}}{128\,a}+\frac{15\,{\mathrm{e}}^{-2\,x}}{128\,a}-\frac{15\,{\mathrm{e}}^{2\,x}}{128\,a}-\frac{3\,{\mathrm{e}}^{-3\,x}}{128\,a}+\frac{3\,{\mathrm{e}}^{3\,x}}{128\,a}-\frac{3\,{\mathrm{e}}^{-4\,x}}{128\,a}+\frac{3\,{\mathrm{e}}^{4\,x}}{128\,a}+\frac{{\mathrm{e}}^{-5\,x}}{128\,a}-\frac{{\mathrm{e}}^{5\,x}}{128\,a}+\frac{{\mathrm{e}}^{-6\,x}}{384\,a}-\frac{{\mathrm{e}}^{6\,x}}{384\,a}-\frac{{\mathrm{e}}^{-7\,x}}{896\,a}+\frac{{\mathrm{e}}^{7\,x}}{896\,a}+\frac{5\,x}{16\,a}-\frac{5\,{\mathrm{e}}^x}{128\,a}","Not used",1,"(5*exp(-x))/(128*a) + (15*exp(-2*x))/(128*a) - (15*exp(2*x))/(128*a) - (3*exp(-3*x))/(128*a) + (3*exp(3*x))/(128*a) - (3*exp(-4*x))/(128*a) + (3*exp(4*x))/(128*a) + exp(-5*x)/(128*a) - exp(5*x)/(128*a) + exp(-6*x)/(384*a) - exp(6*x)/(384*a) - exp(-7*x)/(896*a) + exp(7*x)/(896*a) + (5*x)/(16*a) - (5*exp(x))/(128*a)","B"
153,1,107,46,1.132818,"\text{Not used}","int(sinh(x)^7/(a + a*cosh(x)),x)","\frac{5\,{\mathrm{e}}^{-2\,x}}{128\,a}-\frac{5\,{\mathrm{e}}^{-x}}{16\,a}+\frac{5\,{\mathrm{e}}^{2\,x}}{128\,a}+\frac{5\,{\mathrm{e}}^{-3\,x}}{96\,a}+\frac{5\,{\mathrm{e}}^{3\,x}}{96\,a}-\frac{{\mathrm{e}}^{-4\,x}}{64\,a}-\frac{{\mathrm{e}}^{4\,x}}{64\,a}-\frac{{\mathrm{e}}^{-5\,x}}{160\,a}-\frac{{\mathrm{e}}^{5\,x}}{160\,a}+\frac{{\mathrm{e}}^{-6\,x}}{384\,a}+\frac{{\mathrm{e}}^{6\,x}}{384\,a}-\frac{5\,{\mathrm{e}}^x}{16\,a}","Not used",1,"(5*exp(-2*x))/(128*a) - (5*exp(-x))/(16*a) + (5*exp(2*x))/(128*a) + (5*exp(-3*x))/(96*a) + (5*exp(3*x))/(96*a) - exp(-4*x)/(64*a) - exp(4*x)/(64*a) - exp(-5*x)/(160*a) - exp(5*x)/(160*a) + exp(-6*x)/(384*a) + exp(6*x)/(384*a) - (5*exp(x))/(16*a)","B"
154,1,95,44,1.045143,"\text{Not used}","int(sinh(x)^6/(a + a*cosh(x)),x)","\frac{{\mathrm{e}}^{2\,x}}{8\,a}-\frac{{\mathrm{e}}^{-2\,x}}{8\,a}-\frac{{\mathrm{e}}^{-x}}{16\,a}+\frac{{\mathrm{e}}^{-3\,x}}{32\,a}-\frac{{\mathrm{e}}^{3\,x}}{32\,a}+\frac{{\mathrm{e}}^{-4\,x}}{64\,a}-\frac{{\mathrm{e}}^{4\,x}}{64\,a}-\frac{{\mathrm{e}}^{-5\,x}}{160\,a}+\frac{{\mathrm{e}}^{5\,x}}{160\,a}-\frac{3\,x}{8\,a}+\frac{{\mathrm{e}}^x}{16\,a}","Not used",1,"exp(2*x)/(8*a) - exp(-2*x)/(8*a) - exp(-x)/(16*a) + exp(-3*x)/(32*a) - exp(3*x)/(32*a) + exp(-4*x)/(64*a) - exp(4*x)/(64*a) - exp(-5*x)/(160*a) + exp(5*x)/(160*a) - (3*x)/(8*a) + exp(x)/(16*a)","B"
155,1,71,33,0.978698,"\text{Not used}","int(sinh(x)^5/(a + a*cosh(x)),x)","\frac{3\,{\mathrm{e}}^{-x}}{8\,a}-\frac{{\mathrm{e}}^{-2\,x}}{16\,a}-\frac{{\mathrm{e}}^{2\,x}}{16\,a}-\frac{{\mathrm{e}}^{-3\,x}}{24\,a}-\frac{{\mathrm{e}}^{3\,x}}{24\,a}+\frac{{\mathrm{e}}^{-4\,x}}{64\,a}+\frac{{\mathrm{e}}^{4\,x}}{64\,a}+\frac{3\,{\mathrm{e}}^x}{8\,a}","Not used",1,"(3*exp(-x))/(8*a) - exp(-2*x)/(16*a) - exp(2*x)/(16*a) - exp(-3*x)/(24*a) - exp(3*x)/(24*a) + exp(-4*x)/(64*a) + exp(4*x)/(64*a) + (3*exp(x))/(8*a)","B"
156,1,59,31,0.942406,"\text{Not used}","int(sinh(x)^4/(a + a*cosh(x)),x)","\frac{{\mathrm{e}}^{-x}}{8\,a}+\frac{{\mathrm{e}}^{-2\,x}}{8\,a}-\frac{{\mathrm{e}}^{2\,x}}{8\,a}-\frac{{\mathrm{e}}^{-3\,x}}{24\,a}+\frac{{\mathrm{e}}^{3\,x}}{24\,a}+\frac{x}{2\,a}-\frac{{\mathrm{e}}^x}{8\,a}","Not used",1,"exp(-x)/(8*a) + exp(-2*x)/(8*a) - exp(2*x)/(8*a) - exp(-3*x)/(24*a) + exp(3*x)/(24*a) + x/(2*a) - exp(x)/(8*a)","B"
157,1,35,19,0.936490,"\text{Not used}","int(sinh(x)^3/(a + a*cosh(x)),x)","\frac{{\mathrm{e}}^{-2\,x}}{8\,a}-\frac{{\mathrm{e}}^{-x}}{2\,a}+\frac{{\mathrm{e}}^{2\,x}}{8\,a}-\frac{{\mathrm{e}}^x}{2\,a}","Not used",1,"exp(-2*x)/(8*a) - exp(-x)/(2*a) + exp(2*x)/(8*a) - exp(x)/(2*a)","B"
158,1,23,13,0.913208,"\text{Not used}","int(sinh(x)^2/(a + a*cosh(x)),x)","\frac{{\mathrm{e}}^x}{2\,a}-\frac{x}{a}-\frac{{\mathrm{e}}^{-x}}{2\,a}","Not used",1,"exp(x)/(2*a) - x/a - exp(-x)/(2*a)","B"
159,1,9,9,0.888190,"\text{Not used}","int(sinh(x)/(a + a*cosh(x)),x)","\frac{\ln\left(\mathrm{cosh}\left(x\right)+1\right)}{a}","Not used",1,"log(cosh(x) + 1)/a","B"
160,1,51,23,0.927582,"\text{Not used}","int(1/(sinh(x)*(a + a*cosh(x))),x)","\frac{1}{a\,\left({\mathrm{e}}^x+1\right)}-\frac{1}{a\,\left({\mathrm{e}}^{2\,x}+2\,{\mathrm{e}}^x+1\right)}-\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^x\,\sqrt{-a^2}}{a}\right)}{\sqrt{-a^2}}","Not used",1,"1/(a*(exp(x) + 1)) - 1/(a*(exp(2*x) + 2*exp(x) + 1)) - atan((exp(x)*(-a^2)^(1/2))/a)/(-a^2)^(1/2)","B"
161,1,89,24,0.919254,"\text{Not used}","int(1/(sinh(x)^2*(a + a*cosh(x))),x)","\frac{\frac{{\mathrm{e}}^{2\,x}}{6\,a}+\frac{1}{6\,a}+\frac{{\mathrm{e}}^x}{a}}{3\,{\mathrm{e}}^{2\,x}+{\mathrm{e}}^{3\,x}+3\,{\mathrm{e}}^x+1}+\frac{\frac{1}{2\,a}+\frac{{\mathrm{e}}^x}{6\,a}}{{\mathrm{e}}^{2\,x}+2\,{\mathrm{e}}^x+1}-\frac{1}{2\,a\,\left({\mathrm{e}}^x-1\right)}+\frac{1}{6\,a\,\left({\mathrm{e}}^x+1\right)}","Not used",1,"(exp(2*x)/(6*a) + 1/(6*a) + exp(x)/a)/(3*exp(2*x) + exp(3*x) + 3*exp(x) + 1) + (1/(2*a) + exp(x)/(6*a))/(exp(2*x) + 2*exp(x) + 1) - 1/(2*a*(exp(x) - 1)) + 1/(6*a*(exp(x) + 1))","B"
162,1,114,49,0.932766,"\text{Not used}","int(1/(sinh(x)^3*(a + a*cosh(x))),x)","\frac{3\,\mathrm{atan}\left(\frac{{\mathrm{e}}^x\,\sqrt{-a^2}}{a}\right)}{4\,\sqrt{-a^2}}-\frac{1}{2\,a\,\left(6\,{\mathrm{e}}^{2\,x}+4\,{\mathrm{e}}^{3\,x}+{\mathrm{e}}^{4\,x}+4\,{\mathrm{e}}^x+1\right)}-\frac{1}{4\,a\,\left({\mathrm{e}}^x-1\right)}-\frac{1}{2\,a\,\left({\mathrm{e}}^x+1\right)}-\frac{1}{4\,a\,\left({\mathrm{e}}^{2\,x}-2\,{\mathrm{e}}^x+1\right)}+\frac{1}{a\,\left(3\,{\mathrm{e}}^{2\,x}+{\mathrm{e}}^{3\,x}+3\,{\mathrm{e}}^x+1\right)}","Not used",1,"(3*atan((exp(x)*(-a^2)^(1/2))/a))/(4*(-a^2)^(1/2)) - 1/(2*a*(6*exp(2*x) + 4*exp(3*x) + exp(4*x) + 4*exp(x) + 1)) - 1/(4*a*(exp(x) - 1)) - 1/(2*a*(exp(x) + 1)) - 1/(4*a*(exp(2*x) - 2*exp(x) + 1)) + 1/(a*(3*exp(2*x) + exp(3*x) + 3*exp(x) + 1))","B"
163,1,263,37,0.953031,"\text{Not used}","int(1/(sinh(x)^4*(a + a*cosh(x))),x)","\frac{1}{6\,a\,\left(3\,{\mathrm{e}}^{2\,x}-{\mathrm{e}}^{3\,x}-3\,{\mathrm{e}}^x+1\right)}-\frac{\frac{3\,{\mathrm{e}}^{2\,x}}{8\,a}+\frac{3\,{\mathrm{e}}^{3\,x}}{40\,a}+\frac{1}{8\,a}+\frac{5\,{\mathrm{e}}^x}{8\,a}}{6\,{\mathrm{e}}^{2\,x}+4\,{\mathrm{e}}^{3\,x}+{\mathrm{e}}^{4\,x}+4\,{\mathrm{e}}^x+1}-\frac{\frac{3\,{\mathrm{e}}^{2\,x}}{40\,a}+\frac{5}{24\,a}+\frac{{\mathrm{e}}^x}{4\,a}}{3\,{\mathrm{e}}^{2\,x}+{\mathrm{e}}^{3\,x}+3\,{\mathrm{e}}^x+1}-\frac{\frac{1}{8\,a}+\frac{3\,{\mathrm{e}}^x}{40\,a}}{{\mathrm{e}}^{2\,x}+2\,{\mathrm{e}}^x+1}-\frac{\frac{5\,{\mathrm{e}}^{2\,x}}{4\,a}+\frac{{\mathrm{e}}^{3\,x}}{2\,a}+\frac{3\,{\mathrm{e}}^{4\,x}}{40\,a}+\frac{3}{40\,a}+\frac{{\mathrm{e}}^x}{2\,a}}{10\,{\mathrm{e}}^{2\,x}+10\,{\mathrm{e}}^{3\,x}+5\,{\mathrm{e}}^{4\,x}+{\mathrm{e}}^{5\,x}+5\,{\mathrm{e}}^x+1}-\frac{1}{4\,a\,\left({\mathrm{e}}^{2\,x}-2\,{\mathrm{e}}^x+1\right)}+\frac{3}{8\,a\,\left({\mathrm{e}}^x-1\right)}-\frac{3}{40\,a\,\left({\mathrm{e}}^x+1\right)}","Not used",1,"1/(6*a*(3*exp(2*x) - exp(3*x) - 3*exp(x) + 1)) - ((3*exp(2*x))/(8*a) + (3*exp(3*x))/(40*a) + 1/(8*a) + (5*exp(x))/(8*a))/(6*exp(2*x) + 4*exp(3*x) + exp(4*x) + 4*exp(x) + 1) - ((3*exp(2*x))/(40*a) + 5/(24*a) + exp(x)/(4*a))/(3*exp(2*x) + exp(3*x) + 3*exp(x) + 1) - (1/(8*a) + (3*exp(x))/(40*a))/(exp(2*x) + 2*exp(x) + 1) - ((5*exp(2*x))/(4*a) + exp(3*x)/(2*a) + (3*exp(4*x))/(40*a) + 3/(40*a) + exp(x)/(2*a))/(10*exp(2*x) + 10*exp(3*x) + 5*exp(4*x) + exp(5*x) + 5*exp(x) + 1) - 1/(4*a*(exp(2*x) - 2*exp(x) + 1)) + 3/(8*a*(exp(x) - 1)) - 3/(40*a*(exp(x) + 1))","B"
164,1,244,78,1.047906,"\text{Not used}","int(1/(sinh(x)^5*(a + a*cosh(x))),x)","\frac{1}{a\,\left(10\,{\mathrm{e}}^{2\,x}+10\,{\mathrm{e}}^{3\,x}+5\,{\mathrm{e}}^{4\,x}+{\mathrm{e}}^{5\,x}+5\,{\mathrm{e}}^x+1\right)}+\frac{1}{4\,a\,\left(3\,{\mathrm{e}}^{2\,x}-{\mathrm{e}}^{3\,x}-3\,{\mathrm{e}}^x+1\right)}+\frac{1}{8\,a\,\left({\mathrm{e}}^{2\,x}-2\,{\mathrm{e}}^x+1\right)}-\frac{1}{8\,a\,\left(6\,{\mathrm{e}}^{2\,x}-4\,{\mathrm{e}}^{3\,x}+{\mathrm{e}}^{4\,x}-4\,{\mathrm{e}}^x+1\right)}-\frac{5}{8\,a\,\left(6\,{\mathrm{e}}^{2\,x}+4\,{\mathrm{e}}^{3\,x}+{\mathrm{e}}^{4\,x}+4\,{\mathrm{e}}^x+1\right)}+\frac{1}{4\,a\,\left({\mathrm{e}}^x-1\right)}+\frac{3}{8\,a\,\left({\mathrm{e}}^x+1\right)}-\frac{5\,\mathrm{atan}\left(\frac{{\mathrm{e}}^x\,\sqrt{-a^2}}{a}\right)}{8\,\sqrt{-a^2}}-\frac{1}{3\,a\,\left(15\,{\mathrm{e}}^{2\,x}+20\,{\mathrm{e}}^{3\,x}+15\,{\mathrm{e}}^{4\,x}+6\,{\mathrm{e}}^{5\,x}+{\mathrm{e}}^{6\,x}+6\,{\mathrm{e}}^x+1\right)}-\frac{5}{12\,a\,\left(3\,{\mathrm{e}}^{2\,x}+{\mathrm{e}}^{3\,x}+3\,{\mathrm{e}}^x+1\right)}","Not used",1,"1/(a*(10*exp(2*x) + 10*exp(3*x) + 5*exp(4*x) + exp(5*x) + 5*exp(x) + 1)) + 1/(4*a*(3*exp(2*x) - exp(3*x) - 3*exp(x) + 1)) + 1/(8*a*(exp(2*x) - 2*exp(x) + 1)) - 1/(8*a*(6*exp(2*x) - 4*exp(3*x) + exp(4*x) - 4*exp(x) + 1)) - 5/(8*a*(6*exp(2*x) + 4*exp(3*x) + exp(4*x) + 4*exp(x) + 1)) + 1/(4*a*(exp(x) - 1)) + 3/(8*a*(exp(x) + 1)) - (5*atan((exp(x)*(-a^2)^(1/2))/a))/(8*(-a^2)^(1/2)) - 1/(3*a*(15*exp(2*x) + 20*exp(3*x) + 15*exp(4*x) + 6*exp(5*x) + exp(6*x) + 6*exp(x) + 1)) - 5/(12*a*(3*exp(2*x) + exp(3*x) + 3*exp(x) + 1))","B"
165,1,289,140,1.714766,"\text{Not used}","int(sinh(x)^7/(a + b*cosh(x)),x)","\frac{{\mathrm{e}}^{-6\,x}}{384\,b}+\frac{{\mathrm{e}}^{6\,x}}{384\,b}-\frac{x\,{\left(a^2-b^2\right)}^3}{b^7}-\frac{{\mathrm{e}}^{-x}\,\left(8\,a^5-22\,a^3\,b^2+19\,a\,b^4\right)}{16\,b^6}+\frac{{\mathrm{e}}^{-3\,x}\,\left(9\,a\,b^2-4\,a^3\right)}{96\,b^4}+\frac{{\mathrm{e}}^{3\,x}\,\left(9\,a\,b^2-4\,a^3\right)}{96\,b^4}+\frac{{\mathrm{e}}^{-4\,x}\,\left(a^2-2\,b^2\right)}{64\,b^3}+\frac{{\mathrm{e}}^{4\,x}\,\left(a^2-2\,b^2\right)}{64\,b^3}-\frac{a\,{\mathrm{e}}^{-5\,x}}{160\,b^2}-\frac{a\,{\mathrm{e}}^{5\,x}}{160\,b^2}+\frac{{\mathrm{e}}^{-2\,x}\,\left(16\,a^4-40\,a^2\,b^2+29\,b^4\right)}{128\,b^5}+\frac{{\mathrm{e}}^{2\,x}\,\left(16\,a^4-40\,a^2\,b^2+29\,b^4\right)}{128\,b^5}-\frac{{\mathrm{e}}^x\,\left(8\,a^5-22\,a^3\,b^2+19\,a\,b^4\right)}{16\,b^6}+\frac{\ln\left(b+2\,a\,{\mathrm{e}}^x+b\,{\mathrm{e}}^{2\,x}\right)\,\left(a^6-3\,a^4\,b^2+3\,a^2\,b^4-b^6\right)}{b^7}","Not used",1,"exp(-6*x)/(384*b) + exp(6*x)/(384*b) - (x*(a^2 - b^2)^3)/b^7 - (exp(-x)*(19*a*b^4 + 8*a^5 - 22*a^3*b^2))/(16*b^6) + (exp(-3*x)*(9*a*b^2 - 4*a^3))/(96*b^4) + (exp(3*x)*(9*a*b^2 - 4*a^3))/(96*b^4) + (exp(-4*x)*(a^2 - 2*b^2))/(64*b^3) + (exp(4*x)*(a^2 - 2*b^2))/(64*b^3) - (a*exp(-5*x))/(160*b^2) - (a*exp(5*x))/(160*b^2) + (exp(-2*x)*(16*a^4 + 29*b^4 - 40*a^2*b^2))/(128*b^5) + (exp(2*x)*(16*a^4 + 29*b^4 - 40*a^2*b^2))/(128*b^5) - (exp(x)*(19*a*b^4 + 8*a^5 - 22*a^3*b^2))/(16*b^6) + (log(b + 2*a*exp(x) + b*exp(2*x))*(a^6 - b^6 + 3*a^2*b^4 - 3*a^4*b^2))/b^7","B"
166,1,348,154,1.701067,"\text{Not used}","int(sinh(x)^6/(a + b*cosh(x)),x)","\frac{{\mathrm{e}}^{5\,x}}{160\,b}-\frac{{\mathrm{e}}^{-5\,x}}{160\,b}-\frac{{\mathrm{e}}^{-2\,x}\,\left(2\,a\,b^2-a^3\right)}{8\,b^4}+\frac{{\mathrm{e}}^{2\,x}\,\left(2\,a\,b^2-a^3\right)}{8\,b^4}-\frac{x\,\left(8\,a^5-20\,a^3\,b^2+15\,a\,b^4\right)}{8\,b^6}+\frac{{\mathrm{e}}^x\,\left(8\,a^4-18\,a^2\,b^2+11\,b^4\right)}{16\,b^5}+\frac{a\,{\mathrm{e}}^{-4\,x}}{64\,b^2}-\frac{a\,{\mathrm{e}}^{4\,x}}{64\,b^2}-\frac{{\mathrm{e}}^{-x}\,\left(8\,a^4-18\,a^2\,b^2+11\,b^4\right)}{16\,b^5}-\frac{{\mathrm{e}}^{-3\,x}\,\left(4\,a^2-7\,b^2\right)}{96\,b^3}+\frac{{\mathrm{e}}^{3\,x}\,\left(4\,a^2-7\,b^2\right)}{96\,b^3}+\frac{\ln\left(-\frac{2\,{\mathrm{e}}^x\,\left(a^6-3\,a^4\,b^2+3\,a^2\,b^4-b^6\right)}{b^7}-\frac{2\,{\left(a+b\right)}^{5/2}\,\left(b+a\,{\mathrm{e}}^x\right)\,{\left(a-b\right)}^{5/2}}{b^7}\right)\,{\left(a+b\right)}^{5/2}\,{\left(a-b\right)}^{5/2}}{b^6}-\frac{\ln\left(\frac{2\,{\left(a+b\right)}^{5/2}\,\left(b+a\,{\mathrm{e}}^x\right)\,{\left(a-b\right)}^{5/2}}{b^7}-\frac{2\,{\mathrm{e}}^x\,\left(a^6-3\,a^4\,b^2+3\,a^2\,b^4-b^6\right)}{b^7}\right)\,{\left(a+b\right)}^{5/2}\,{\left(a-b\right)}^{5/2}}{b^6}","Not used",1,"exp(5*x)/(160*b) - exp(-5*x)/(160*b) - (exp(-2*x)*(2*a*b^2 - a^3))/(8*b^4) + (exp(2*x)*(2*a*b^2 - a^3))/(8*b^4) - (x*(15*a*b^4 + 8*a^5 - 20*a^3*b^2))/(8*b^6) + (exp(x)*(8*a^4 + 11*b^4 - 18*a^2*b^2))/(16*b^5) + (a*exp(-4*x))/(64*b^2) - (a*exp(4*x))/(64*b^2) - (exp(-x)*(8*a^4 + 11*b^4 - 18*a^2*b^2))/(16*b^5) - (exp(-3*x)*(4*a^2 - 7*b^2))/(96*b^3) + (exp(3*x)*(4*a^2 - 7*b^2))/(96*b^3) + (log(- (2*exp(x)*(a^6 - b^6 + 3*a^2*b^4 - 3*a^4*b^2))/b^7 - (2*(a + b)^(5/2)*(b + a*exp(x))*(a - b)^(5/2))/b^7)*(a + b)^(5/2)*(a - b)^(5/2))/b^6 - (log((2*(a + b)^(5/2)*(b + a*exp(x))*(a - b)^(5/2))/b^7 - (2*exp(x)*(a^6 - b^6 + 3*a^2*b^4 - 3*a^4*b^2))/b^7)*(a + b)^(5/2)*(a - b)^(5/2))/b^6","B"
167,1,169,83,1.310235,"\text{Not used}","int(sinh(x)^5/(a + b*cosh(x)),x)","\frac{{\mathrm{e}}^{-4\,x}}{64\,b}+\frac{{\mathrm{e}}^{4\,x}}{64\,b}-\frac{x\,{\left(a^2-b^2\right)}^2}{b^5}+\frac{{\mathrm{e}}^{-x}\,\left(7\,a\,b^2-4\,a^3\right)}{8\,b^4}+\frac{\ln\left(b+2\,a\,{\mathrm{e}}^x+b\,{\mathrm{e}}^{2\,x}\right)\,\left(a^4-2\,a^2\,b^2+b^4\right)}{b^5}-\frac{a\,{\mathrm{e}}^{-3\,x}}{24\,b^2}-\frac{a\,{\mathrm{e}}^{3\,x}}{24\,b^2}+\frac{{\mathrm{e}}^{-2\,x}\,\left(2\,a^2-3\,b^2\right)}{16\,b^3}+\frac{{\mathrm{e}}^{2\,x}\,\left(2\,a^2-3\,b^2\right)}{16\,b^3}+\frac{{\mathrm{e}}^x\,\left(7\,a\,b^2-4\,a^3\right)}{8\,b^4}","Not used",1,"exp(-4*x)/(64*b) + exp(4*x)/(64*b) - (x*(a^2 - b^2)^2)/b^5 + (exp(-x)*(7*a*b^2 - 4*a^3))/(8*b^4) + (log(b + 2*a*exp(x) + b*exp(2*x))*(a^4 + b^4 - 2*a^2*b^2))/b^5 - (a*exp(-3*x))/(24*b^2) - (a*exp(3*x))/(24*b^2) + (exp(-2*x)*(2*a^2 - 3*b^2))/(16*b^3) + (exp(2*x)*(2*a^2 - 3*b^2))/(16*b^3) + (exp(x)*(7*a*b^2 - 4*a^3))/(8*b^4)","B"
168,1,222,104,1.310254,"\text{Not used}","int(sinh(x)^4/(a + b*cosh(x)),x)","\frac{{\mathrm{e}}^{3\,x}}{24\,b}-\frac{{\mathrm{e}}^{-3\,x}}{24\,b}+\frac{x\,\left(3\,a\,b^2-2\,a^3\right)}{2\,b^4}+\frac{{\mathrm{e}}^x\,\left(4\,a^2-5\,b^2\right)}{8\,b^3}+\frac{a\,{\mathrm{e}}^{-2\,x}}{8\,b^2}-\frac{a\,{\mathrm{e}}^{2\,x}}{8\,b^2}-\frac{{\mathrm{e}}^{-x}\,\left(4\,a^2-5\,b^2\right)}{8\,b^3}+\frac{\ln\left(-\frac{2\,{\mathrm{e}}^x\,\left(a^4-2\,a^2\,b^2+b^4\right)}{b^5}-\frac{2\,{\left(a+b\right)}^{3/2}\,\left(b+a\,{\mathrm{e}}^x\right)\,{\left(a-b\right)}^{3/2}}{b^5}\right)\,{\left(a+b\right)}^{3/2}\,{\left(a-b\right)}^{3/2}}{b^4}-\frac{\ln\left(\frac{2\,{\left(a+b\right)}^{3/2}\,\left(b+a\,{\mathrm{e}}^x\right)\,{\left(a-b\right)}^{3/2}}{b^5}-\frac{2\,{\mathrm{e}}^x\,\left(a^4-2\,a^2\,b^2+b^4\right)}{b^5}\right)\,{\left(a+b\right)}^{3/2}\,{\left(a-b\right)}^{3/2}}{b^4}","Not used",1,"exp(3*x)/(24*b) - exp(-3*x)/(24*b) + (x*(3*a*b^2 - 2*a^3))/(2*b^4) + (exp(x)*(4*a^2 - 5*b^2))/(8*b^3) + (a*exp(-2*x))/(8*b^2) - (a*exp(2*x))/(8*b^2) - (exp(-x)*(4*a^2 - 5*b^2))/(8*b^3) + (log(- (2*exp(x)*(a^4 + b^4 - 2*a^2*b^2))/b^5 - (2*(a + b)^(3/2)*(b + a*exp(x))*(a - b)^(3/2))/b^5)*(a + b)^(3/2)*(a - b)^(3/2))/b^4 - (log((2*(a + b)^(3/2)*(b + a*exp(x))*(a - b)^(3/2))/b^5 - (2*exp(x)*(a^4 + b^4 - 2*a^2*b^2))/b^5)*(a + b)^(3/2)*(a - b)^(3/2))/b^4","B"
169,1,79,40,1.043603,"\text{Not used}","int(sinh(x)^3/(a + b*cosh(x)),x)","\frac{{\mathrm{e}}^{-2\,x}}{8\,b}+\frac{{\mathrm{e}}^{2\,x}}{8\,b}+\frac{\ln\left(b+2\,a\,{\mathrm{e}}^x+b\,{\mathrm{e}}^{2\,x}\right)\,\left(a^2-b^2\right)}{b^3}-\frac{a\,{\mathrm{e}}^x}{2\,b^2}-\frac{a\,{\mathrm{e}}^{-x}}{2\,b^2}-\frac{x\,\left(a^2-b^2\right)}{b^3}","Not used",1,"exp(-2*x)/(8*b) + exp(2*x)/(8*b) + (log(b + 2*a*exp(x) + b*exp(2*x))*(a^2 - b^2))/b^3 - (a*exp(x))/(2*b^2) - (a*exp(-x))/(2*b^2) - (x*(a^2 - b^2))/b^3","B"
170,1,139,59,1.044643,"\text{Not used}","int(sinh(x)^2/(a + b*cosh(x)),x)","\frac{{\mathrm{e}}^x}{2\,b}-\frac{{\mathrm{e}}^{-x}}{2\,b}-\frac{a\,x}{b^2}+\frac{\ln\left(-\frac{2\,{\mathrm{e}}^x\,\left(a^2-b^2\right)}{b^3}-\frac{2\,\sqrt{a+b}\,\left(b+a\,{\mathrm{e}}^x\right)\,\sqrt{a-b}}{b^3}\right)\,\sqrt{a+b}\,\sqrt{a-b}}{b^2}-\frac{\ln\left(\frac{2\,\sqrt{a+b}\,\left(b+a\,{\mathrm{e}}^x\right)\,\sqrt{a-b}}{b^3}-\frac{2\,{\mathrm{e}}^x\,\left(a^2-b^2\right)}{b^3}\right)\,\sqrt{a+b}\,\sqrt{a-b}}{b^2}","Not used",1,"exp(x)/(2*b) - exp(-x)/(2*b) - (a*x)/b^2 + (log(- (2*exp(x)*(a^2 - b^2))/b^3 - (2*(a + b)^(1/2)*(b + a*exp(x))*(a - b)^(1/2))/b^3)*(a + b)^(1/2)*(a - b)^(1/2))/b^2 - (log((2*(a + b)^(1/2)*(b + a*exp(x))*(a - b)^(1/2))/b^3 - (2*exp(x)*(a^2 - b^2))/b^3)*(a + b)^(1/2)*(a - b)^(1/2))/b^2","B"
171,1,11,11,0.057916,"\text{Not used}","int(sinh(x)/(a + b*cosh(x)),x)","\frac{\ln\left(a+b\,\mathrm{cosh}\left(x\right)\right)}{b}","Not used",1,"log(a + b*cosh(x))/b","B"
172,1,160,53,1.285564,"\text{Not used}","int(1/(sinh(x)*(a + b*cosh(x))),x)","\frac{\ln\left(128\,a\,b^2-128\,a^2\,b+32\,a^3-32\,a^3\,{\mathrm{e}}^x-128\,a\,b^2\,{\mathrm{e}}^x+128\,a^2\,b\,{\mathrm{e}}^x\right)}{a+b}-\frac{\ln\left(128\,a\,b^2+128\,a^2\,b+32\,a^3+32\,a^3\,{\mathrm{e}}^x+128\,a\,b^2\,{\mathrm{e}}^x+128\,a^2\,b\,{\mathrm{e}}^x\right)}{a-b}+\frac{b\,\ln\left(16\,b^3\,{\mathrm{e}}^{2\,x}-4\,a^2\,b+16\,b^3-8\,a^3\,{\mathrm{e}}^x+32\,a\,b^2\,{\mathrm{e}}^x-4\,a^2\,b\,{\mathrm{e}}^{2\,x}\right)}{a^2-b^2}","Not used",1,"log(128*a*b^2 - 128*a^2*b + 32*a^3 - 32*a^3*exp(x) - 128*a*b^2*exp(x) + 128*a^2*b*exp(x))/(a + b) - log(128*a*b^2 + 128*a^2*b + 32*a^3 + 32*a^3*exp(x) + 128*a*b^2*exp(x) + 128*a^2*b*exp(x))/(a - b) + (b*log(16*b^3*exp(2*x) - 4*a^2*b + 16*b^3 - 8*a^3*exp(x) + 32*a*b^2*exp(x) - 4*a^2*b*exp(2*x)))/(a^2 - b^2)","B"
173,1,327,67,1.479007,"\text{Not used}","int(1/(sinh(x)^2*(a + b*cosh(x))),x)","-\frac{\frac{2\,a}{a^2-b^2}-\frac{2\,b\,{\mathrm{e}}^x}{a^2-b^2}}{{\mathrm{e}}^{2\,x}-1}-\frac{2\,\mathrm{atan}\left(\left({\mathrm{e}}^x\,\left(\frac{2}{{\left(a^2-b^2\right)}^2\,\sqrt{b^4}}+\frac{2\,a\,\left(a^3\,\sqrt{b^4}-a\,b^2\,\sqrt{b^4}\right)}{b^4\,\left(a^2-b^2\right)\,\sqrt{-{\left(a^2-b^2\right)}^3}\,\sqrt{-a^6+3\,a^4\,b^2-3\,a^2\,b^4+b^6}}\right)-\frac{2\,a\,\left(b^3\,\sqrt{b^4}-a^2\,b\,\sqrt{b^4}\right)}{b^4\,\left(a^2-b^2\right)\,\sqrt{-{\left(a^2-b^2\right)}^3}\,\sqrt{-a^6+3\,a^4\,b^2-3\,a^2\,b^4+b^6}}\right)\,\left(\frac{b^3\,\sqrt{-a^6+3\,a^4\,b^2-3\,a^2\,b^4+b^6}}{2}-\frac{a^2\,b\,\sqrt{-a^6+3\,a^4\,b^2-3\,a^2\,b^4+b^6}}{2}\right)\right)\,\sqrt{b^4}}{\sqrt{-a^6+3\,a^4\,b^2-3\,a^2\,b^4+b^6}}","Not used",1,"- ((2*a)/(a^2 - b^2) - (2*b*exp(x))/(a^2 - b^2))/(exp(2*x) - 1) - (2*atan((exp(x)*(2/((a^2 - b^2)^2*(b^4)^(1/2)) + (2*a*(a^3*(b^4)^(1/2) - a*b^2*(b^4)^(1/2)))/(b^4*(a^2 - b^2)*(-(a^2 - b^2)^3)^(1/2)*(b^6 - a^6 - 3*a^2*b^4 + 3*a^4*b^2)^(1/2))) - (2*a*(b^3*(b^4)^(1/2) - a^2*b*(b^4)^(1/2)))/(b^4*(a^2 - b^2)*(-(a^2 - b^2)^3)^(1/2)*(b^6 - a^6 - 3*a^2*b^4 + 3*a^4*b^2)^(1/2)))*((b^3*(b^6 - a^6 - 3*a^2*b^4 + 3*a^4*b^2)^(1/2))/2 - (a^2*b*(b^6 - a^6 - 3*a^2*b^4 + 3*a^4*b^2)^(1/2))/2))*(b^4)^(1/2))/(b^6 - a^6 - 3*a^2*b^4 + 3*a^4*b^2)^(1/2)","B"
174,1,291,91,1.477256,"\text{Not used}","int(1/(sinh(x)^3*(a + b*cosh(x))),x)","\frac{\frac{2\,\left(a^2\,b-b^3\right)}{{\left(a^2-b^2\right)}^2}+\frac{{\mathrm{e}}^x\,\left(a\,b^2-a^3\right)}{{\left(a^2-b^2\right)}^2}}{{\mathrm{e}}^{2\,x}-1}+\frac{\frac{2\,b}{a^2-b^2}-\frac{2\,a\,{\mathrm{e}}^x}{a^2-b^2}}{{\mathrm{e}}^{4\,x}-2\,{\mathrm{e}}^{2\,x}+1}+\frac{b^3\,\ln\left(16\,b^7\,{\mathrm{e}}^{2\,x}-a^6\,b+16\,b^7-9\,a^2\,b^5+6\,a^4\,b^3-2\,a^7\,{\mathrm{e}}^x-9\,a^2\,b^5\,{\mathrm{e}}^{2\,x}+6\,a^4\,b^3\,{\mathrm{e}}^{2\,x}+32\,a\,b^6\,{\mathrm{e}}^x-a^6\,b\,{\mathrm{e}}^{2\,x}-18\,a^3\,b^4\,{\mathrm{e}}^x+12\,a^5\,b^2\,{\mathrm{e}}^x\right)}{a^4-2\,a^2\,b^2+b^4}-\frac{\ln\left({\mathrm{e}}^x-1\right)\,\left(a+2\,b\right)}{2\,a^2+4\,a\,b+2\,b^2}+\frac{\ln\left({\mathrm{e}}^x+1\right)\,\left(a-2\,b\right)}{2\,a^2-4\,a\,b+2\,b^2}","Not used",1,"((2*(a^2*b - b^3))/(a^2 - b^2)^2 + (exp(x)*(a*b^2 - a^3))/(a^2 - b^2)^2)/(exp(2*x) - 1) + ((2*b)/(a^2 - b^2) - (2*a*exp(x))/(a^2 - b^2))/(exp(4*x) - 2*exp(2*x) + 1) + (b^3*log(16*b^7*exp(2*x) - a^6*b + 16*b^7 - 9*a^2*b^5 + 6*a^4*b^3 - 2*a^7*exp(x) - 9*a^2*b^5*exp(2*x) + 6*a^4*b^3*exp(2*x) + 32*a*b^6*exp(x) - a^6*b*exp(2*x) - 18*a^3*b^4*exp(x) + 12*a^5*b^2*exp(x)))/(a^4 + b^4 - 2*a^2*b^2) - (log(exp(x) - 1)*(a + 2*b))/(4*a*b + 2*a^2 + 2*b^2) + (log(exp(x) + 1)*(a - 2*b))/(2*a^2 - 4*a*b + 2*b^2)","B"
175,1,642,110,1.974961,"\text{Not used}","int(1/(sinh(x)^4*(a + b*cosh(x))),x)","\frac{\frac{4\,\left(a\,b^2-a^3\right)}{{\left(a^2-b^2\right)}^2}+\frac{8\,{\mathrm{e}}^x\,\left(a^2\,b-b^3\right)}{3\,{\left(a^2-b^2\right)}^2}}{{\mathrm{e}}^{4\,x}-2\,{\mathrm{e}}^{2\,x}+1}-\frac{\frac{2\,a\,b^2}{{\left(a^2-b^2\right)}^2}-\frac{2\,b^3\,{\mathrm{e}}^x}{{\left(a^2-b^2\right)}^2}}{{\mathrm{e}}^{2\,x}-1}-\frac{\frac{8\,a}{3\,\left(a^2-b^2\right)}-\frac{8\,b\,{\mathrm{e}}^x}{3\,\left(a^2-b^2\right)}}{3\,{\mathrm{e}}^{2\,x}-3\,{\mathrm{e}}^{4\,x}+{\mathrm{e}}^{6\,x}-1}+\frac{2\,\mathrm{atan}\left(\left({\mathrm{e}}^x\,\left(\frac{2\,b^2}{{\left(a^2-b^2\right)}^2\,\sqrt{b^8}\,\left(a^4-2\,a^2\,b^2+b^4\right)}+\frac{2\,a\,\left(a^5\,\sqrt{b^8}-2\,a^3\,b^2\,\sqrt{b^8}+a\,b^4\,\sqrt{b^8}\right)}{b^6\,\sqrt{-{\left(a^2-b^2\right)}^5}\,\left(a^4-2\,a^2\,b^2+b^4\right)\,\sqrt{-a^{10}+5\,a^8\,b^2-10\,a^6\,b^4+10\,a^4\,b^6-5\,a^2\,b^8+b^{10}}}\right)+\frac{2\,a\,\left(b^5\,\sqrt{b^8}-2\,a^2\,b^3\,\sqrt{b^8}+a^4\,b\,\sqrt{b^8}\right)}{b^6\,\sqrt{-{\left(a^2-b^2\right)}^5}\,\left(a^4-2\,a^2\,b^2+b^4\right)\,\sqrt{-a^{10}+5\,a^8\,b^2-10\,a^6\,b^4+10\,a^4\,b^6-5\,a^2\,b^8+b^{10}}}\right)\,\left(\frac{b^5\,\sqrt{-a^{10}+5\,a^8\,b^2-10\,a^6\,b^4+10\,a^4\,b^6-5\,a^2\,b^8+b^{10}}}{2}-a^2\,b^3\,\sqrt{-a^{10}+5\,a^8\,b^2-10\,a^6\,b^4+10\,a^4\,b^6-5\,a^2\,b^8+b^{10}}+\frac{a^4\,b\,\sqrt{-a^{10}+5\,a^8\,b^2-10\,a^6\,b^4+10\,a^4\,b^6-5\,a^2\,b^8+b^{10}}}{2}\right)\right)\,\sqrt{b^8}}{\sqrt{-a^{10}+5\,a^8\,b^2-10\,a^6\,b^4+10\,a^4\,b^6-5\,a^2\,b^8+b^{10}}}","Not used",1,"((4*(a*b^2 - a^3))/(a^2 - b^2)^2 + (8*exp(x)*(a^2*b - b^3))/(3*(a^2 - b^2)^2))/(exp(4*x) - 2*exp(2*x) + 1) - ((2*a*b^2)/(a^2 - b^2)^2 - (2*b^3*exp(x))/(a^2 - b^2)^2)/(exp(2*x) - 1) - ((8*a)/(3*(a^2 - b^2)) - (8*b*exp(x))/(3*(a^2 - b^2)))/(3*exp(2*x) - 3*exp(4*x) + exp(6*x) - 1) + (2*atan((exp(x)*((2*b^2)/((a^2 - b^2)^2*(b^8)^(1/2)*(a^4 + b^4 - 2*a^2*b^2)) + (2*a*(a^5*(b^8)^(1/2) - 2*a^3*b^2*(b^8)^(1/2) + a*b^4*(b^8)^(1/2)))/(b^6*(-(a^2 - b^2)^5)^(1/2)*(a^4 + b^4 - 2*a^2*b^2)*(b^10 - a^10 - 5*a^2*b^8 + 10*a^4*b^6 - 10*a^6*b^4 + 5*a^8*b^2)^(1/2))) + (2*a*(b^5*(b^8)^(1/2) - 2*a^2*b^3*(b^8)^(1/2) + a^4*b*(b^8)^(1/2)))/(b^6*(-(a^2 - b^2)^5)^(1/2)*(a^4 + b^4 - 2*a^2*b^2)*(b^10 - a^10 - 5*a^2*b^8 + 10*a^4*b^6 - 10*a^6*b^4 + 5*a^8*b^2)^(1/2)))*((b^5*(b^10 - a^10 - 5*a^2*b^8 + 10*a^4*b^6 - 10*a^6*b^4 + 5*a^8*b^2)^(1/2))/2 - a^2*b^3*(b^10 - a^10 - 5*a^2*b^8 + 10*a^4*b^6 - 10*a^6*b^4 + 5*a^8*b^2)^(1/2) + (a^4*b*(b^10 - a^10 - 5*a^2*b^8 + 10*a^4*b^6 - 10*a^6*b^4 + 5*a^8*b^2)^(1/2))/2))*(b^8)^(1/2))/(b^10 - a^10 - 5*a^2*b^8 + 10*a^4*b^6 - 10*a^6*b^4 + 5*a^8*b^2)^(1/2)","B"
176,1,559,151,1.830821,"\text{Not used}","int(1/(sinh(x)^5*(a + b*cosh(x))),x)","\frac{\frac{4\,b}{a^2-b^2}-\frac{4\,a\,{\mathrm{e}}^x}{a^2-b^2}}{6\,{\mathrm{e}}^{4\,x}-4\,{\mathrm{e}}^{2\,x}-4\,{\mathrm{e}}^{6\,x}+{\mathrm{e}}^{8\,x}+1}-\frac{\frac{2\,\left(b^5-a^2\,b^3\right)}{{\left(a^2-b^2\right)}^3}-\frac{{\mathrm{e}}^x\,\left(3\,a^5-10\,a^3\,b^2+7\,a\,b^4\right)}{4\,{\left(a^2-b^2\right)}^3}}{{\mathrm{e}}^{2\,x}-1}+\frac{\frac{8\,\left(a^2\,b-b^3\right)}{{\left(a^2-b^2\right)}^2}+\frac{6\,{\mathrm{e}}^x\,\left(a\,b^2-a^3\right)}{{\left(a^2-b^2\right)}^2}}{3\,{\mathrm{e}}^{2\,x}-3\,{\mathrm{e}}^{4\,x}+{\mathrm{e}}^{6\,x}-1}+\frac{\frac{2\,\left(2\,a^2\,b-b^3\right)}{{\left(a^2-b^2\right)}^2}-\frac{{\mathrm{e}}^x\,\left(a^3+3\,a\,b^2\right)}{2\,{\left(a^2-b^2\right)}^2}}{{\mathrm{e}}^{4\,x}-2\,{\mathrm{e}}^{2\,x}+1}+\frac{b^5\,\ln\left(256\,b^{11}\,{\mathrm{e}}^{2\,x}-9\,a^{10}\,b+256\,b^{11}-225\,a^2\,b^9+300\,a^4\,b^7-190\,a^6\,b^5+60\,a^8\,b^3-18\,a^{11}\,{\mathrm{e}}^x-225\,a^2\,b^9\,{\mathrm{e}}^{2\,x}+300\,a^4\,b^7\,{\mathrm{e}}^{2\,x}-190\,a^6\,b^5\,{\mathrm{e}}^{2\,x}+60\,a^8\,b^3\,{\mathrm{e}}^{2\,x}+512\,a\,b^{10}\,{\mathrm{e}}^x-9\,a^{10}\,b\,{\mathrm{e}}^{2\,x}-450\,a^3\,b^8\,{\mathrm{e}}^x+600\,a^5\,b^6\,{\mathrm{e}}^x-380\,a^7\,b^4\,{\mathrm{e}}^x+120\,a^9\,b^2\,{\mathrm{e}}^x\right)}{a^6-3\,a^4\,b^2+3\,a^2\,b^4-b^6}+\frac{\ln\left({\mathrm{e}}^x-1\right)\,\left(3\,a^2+9\,a\,b+8\,b^2\right)}{8\,a^3+24\,a^2\,b+24\,a\,b^2+8\,b^3}-\frac{\ln\left({\mathrm{e}}^x+1\right)\,\left(3\,a^2-9\,a\,b+8\,b^2\right)}{8\,a^3-24\,a^2\,b+24\,a\,b^2-8\,b^3}","Not used",1,"((4*b)/(a^2 - b^2) - (4*a*exp(x))/(a^2 - b^2))/(6*exp(4*x) - 4*exp(2*x) - 4*exp(6*x) + exp(8*x) + 1) - ((2*(b^5 - a^2*b^3))/(a^2 - b^2)^3 - (exp(x)*(7*a*b^4 + 3*a^5 - 10*a^3*b^2))/(4*(a^2 - b^2)^3))/(exp(2*x) - 1) + ((8*(a^2*b - b^3))/(a^2 - b^2)^2 + (6*exp(x)*(a*b^2 - a^3))/(a^2 - b^2)^2)/(3*exp(2*x) - 3*exp(4*x) + exp(6*x) - 1) + ((2*(2*a^2*b - b^3))/(a^2 - b^2)^2 - (exp(x)*(3*a*b^2 + a^3))/(2*(a^2 - b^2)^2))/(exp(4*x) - 2*exp(2*x) + 1) + (b^5*log(256*b^11*exp(2*x) - 9*a^10*b + 256*b^11 - 225*a^2*b^9 + 300*a^4*b^7 - 190*a^6*b^5 + 60*a^8*b^3 - 18*a^11*exp(x) - 225*a^2*b^9*exp(2*x) + 300*a^4*b^7*exp(2*x) - 190*a^6*b^5*exp(2*x) + 60*a^8*b^3*exp(2*x) + 512*a*b^10*exp(x) - 9*a^10*b*exp(2*x) - 450*a^3*b^8*exp(x) + 600*a^5*b^6*exp(x) - 380*a^7*b^4*exp(x) + 120*a^9*b^2*exp(x)))/(a^6 - b^6 + 3*a^2*b^4 - 3*a^4*b^2) + (log(exp(x) - 1)*(9*a*b + 3*a^2 + 8*b^2))/(24*a*b^2 + 24*a^2*b + 8*a^3 + 8*b^3) - (log(exp(x) + 1)*(3*a^2 - 9*a*b + 8*b^2))/(24*a*b^2 - 24*a^2*b + 8*a^3 - 8*b^3)","B"
177,1,1031,159,2.605072,"\text{Not used}","int(1/(sinh(x)^6*(a + b*cosh(x))),x)","\frac{\frac{16\,\left(a\,b^2-a^3\right)}{{\left(a^2-b^2\right)}^2}+\frac{64\,{\mathrm{e}}^x\,\left(a^2\,b-b^3\right)}{5\,{\left(a^2-b^2\right)}^2}}{6\,{\mathrm{e}}^{4\,x}-4\,{\mathrm{e}}^{2\,x}-4\,{\mathrm{e}}^{6\,x}+{\mathrm{e}}^{8\,x}+1}-\frac{\frac{2\,a\,b^4}{{\left(a^2-b^2\right)}^3}-\frac{2\,b^5\,{\mathrm{e}}^x}{{\left(a^2-b^2\right)}^3}}{{\mathrm{e}}^{2\,x}-1}-\frac{\frac{32\,a}{5\,\left(a^2-b^2\right)}-\frac{32\,b\,{\mathrm{e}}^x}{5\,\left(a^2-b^2\right)}}{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}+\frac{\frac{8\,\left(3\,a\,b^2-4\,a^3\right)}{3\,{\left(a^2-b^2\right)}^2}+\frac{8\,{\mathrm{e}}^x\,\left(12\,a^2\,b-7\,b^3\right)}{15\,{\left(a^2-b^2\right)}^2}}{3\,{\mathrm{e}}^{2\,x}-3\,{\mathrm{e}}^{4\,x}+{\mathrm{e}}^{6\,x}-1}+\frac{\frac{4\,\left(a\,b^4-a^3\,b^2\right)}{{\left(a^2-b^2\right)}^3}-\frac{8\,{\mathrm{e}}^x\,\left(b^5-a^2\,b^3\right)}{3\,{\left(a^2-b^2\right)}^3}}{{\mathrm{e}}^{4\,x}-2\,{\mathrm{e}}^{2\,x}+1}-\frac{2\,\mathrm{atan}\left(\left({\mathrm{e}}^x\,\left(\frac{2\,b^4}{{\left(a^2-b^2\right)}^3\,\sqrt{b^{12}}\,\left(a^6-3\,a^4\,b^2+3\,a^2\,b^4-b^6\right)}+\frac{2\,a\,\left(a^7\,\sqrt{b^{12}}+3\,a^3\,b^4\,\sqrt{b^{12}}-3\,a^5\,b^2\,\sqrt{b^{12}}-a\,b^6\,\sqrt{b^{12}}\right)}{b^8\,\sqrt{-{\left(a^2-b^2\right)}^7}\,\left(a^6-3\,a^4\,b^2+3\,a^2\,b^4-b^6\right)\,\sqrt{-a^{14}+7\,a^{12}\,b^2-21\,a^{10}\,b^4+35\,a^8\,b^6-35\,a^6\,b^8+21\,a^4\,b^{10}-7\,a^2\,b^{12}+b^{14}}}\right)-\frac{2\,a\,\left(b^7\,\sqrt{b^{12}}-3\,a^2\,b^5\,\sqrt{b^{12}}+3\,a^4\,b^3\,\sqrt{b^{12}}-a^6\,b\,\sqrt{b^{12}}\right)}{b^8\,\sqrt{-{\left(a^2-b^2\right)}^7}\,\left(a^6-3\,a^4\,b^2+3\,a^2\,b^4-b^6\right)\,\sqrt{-a^{14}+7\,a^{12}\,b^2-21\,a^{10}\,b^4+35\,a^8\,b^6-35\,a^6\,b^8+21\,a^4\,b^{10}-7\,a^2\,b^{12}+b^{14}}}\right)\,\left(\frac{b^7\,\sqrt{-a^{14}+7\,a^{12}\,b^2-21\,a^{10}\,b^4+35\,a^8\,b^6-35\,a^6\,b^8+21\,a^4\,b^{10}-7\,a^2\,b^{12}+b^{14}}}{2}-\frac{a^6\,b\,\sqrt{-a^{14}+7\,a^{12}\,b^2-21\,a^{10}\,b^4+35\,a^8\,b^6-35\,a^6\,b^8+21\,a^4\,b^{10}-7\,a^2\,b^{12}+b^{14}}}{2}-\frac{3\,a^2\,b^5\,\sqrt{-a^{14}+7\,a^{12}\,b^2-21\,a^{10}\,b^4+35\,a^8\,b^6-35\,a^6\,b^8+21\,a^4\,b^{10}-7\,a^2\,b^{12}+b^{14}}}{2}+\frac{3\,a^4\,b^3\,\sqrt{-a^{14}+7\,a^{12}\,b^2-21\,a^{10}\,b^4+35\,a^8\,b^6-35\,a^6\,b^8+21\,a^4\,b^{10}-7\,a^2\,b^{12}+b^{14}}}{2}\right)\right)\,\sqrt{b^{12}}}{\sqrt{-a^{14}+7\,a^{12}\,b^2-21\,a^{10}\,b^4+35\,a^8\,b^6-35\,a^6\,b^8+21\,a^4\,b^{10}-7\,a^2\,b^{12}+b^{14}}}","Not used",1,"((16*(a*b^2 - a^3))/(a^2 - b^2)^2 + (64*exp(x)*(a^2*b - b^3))/(5*(a^2 - b^2)^2))/(6*exp(4*x) - 4*exp(2*x) - 4*exp(6*x) + exp(8*x) + 1) - ((2*a*b^4)/(a^2 - b^2)^3 - (2*b^5*exp(x))/(a^2 - b^2)^3)/(exp(2*x) - 1) - ((32*a)/(5*(a^2 - b^2)) - (32*b*exp(x))/(5*(a^2 - b^2)))/(5*exp(2*x) - 10*exp(4*x) + 10*exp(6*x) - 5*exp(8*x) + exp(10*x) - 1) + ((8*(3*a*b^2 - 4*a^3))/(3*(a^2 - b^2)^2) + (8*exp(x)*(12*a^2*b - 7*b^3))/(15*(a^2 - b^2)^2))/(3*exp(2*x) - 3*exp(4*x) + exp(6*x) - 1) + ((4*(a*b^4 - a^3*b^2))/(a^2 - b^2)^3 - (8*exp(x)*(b^5 - a^2*b^3))/(3*(a^2 - b^2)^3))/(exp(4*x) - 2*exp(2*x) + 1) - (2*atan((exp(x)*((2*b^4)/((a^2 - b^2)^3*(b^12)^(1/2)*(a^6 - b^6 + 3*a^2*b^4 - 3*a^4*b^2)) + (2*a*(a^7*(b^12)^(1/2) + 3*a^3*b^4*(b^12)^(1/2) - 3*a^5*b^2*(b^12)^(1/2) - a*b^6*(b^12)^(1/2)))/(b^8*(-(a^2 - b^2)^7)^(1/2)*(a^6 - b^6 + 3*a^2*b^4 - 3*a^4*b^2)*(b^14 - a^14 - 7*a^2*b^12 + 21*a^4*b^10 - 35*a^6*b^8 + 35*a^8*b^6 - 21*a^10*b^4 + 7*a^12*b^2)^(1/2))) - (2*a*(b^7*(b^12)^(1/2) - 3*a^2*b^5*(b^12)^(1/2) + 3*a^4*b^3*(b^12)^(1/2) - a^6*b*(b^12)^(1/2)))/(b^8*(-(a^2 - b^2)^7)^(1/2)*(a^6 - b^6 + 3*a^2*b^4 - 3*a^4*b^2)*(b^14 - a^14 - 7*a^2*b^12 + 21*a^4*b^10 - 35*a^6*b^8 + 35*a^8*b^6 - 21*a^10*b^4 + 7*a^12*b^2)^(1/2)))*((b^7*(b^14 - a^14 - 7*a^2*b^12 + 21*a^4*b^10 - 35*a^6*b^8 + 35*a^8*b^6 - 21*a^10*b^4 + 7*a^12*b^2)^(1/2))/2 - (a^6*b*(b^14 - a^14 - 7*a^2*b^12 + 21*a^4*b^10 - 35*a^6*b^8 + 35*a^8*b^6 - 21*a^10*b^4 + 7*a^12*b^2)^(1/2))/2 - (3*a^2*b^5*(b^14 - a^14 - 7*a^2*b^12 + 21*a^4*b^10 - 35*a^6*b^8 + 35*a^8*b^6 - 21*a^10*b^4 + 7*a^12*b^2)^(1/2))/2 + (3*a^4*b^3*(b^14 - a^14 - 7*a^2*b^12 + 21*a^4*b^10 - 35*a^6*b^8 + 35*a^8*b^6 - 21*a^10*b^4 + 7*a^12*b^2)^(1/2))/2))*(b^12)^(1/2))/(b^14 - a^14 - 7*a^2*b^12 + 21*a^4*b^10 - 35*a^6*b^8 + 35*a^8*b^6 - 21*a^10*b^4 + 7*a^12*b^2)^(1/2)","B"
178,1,139,67,1.123087,"\text{Not used}","int(sinh(x)^2/(a + b*cosh(x))^2,x)","\frac{x}{b^2}+\frac{\frac{2}{b}+\frac{2\,a\,{\mathrm{e}}^x}{b^2}}{b+2\,a\,{\mathrm{e}}^x+b\,{\mathrm{e}}^{2\,x}}+\frac{a\,\ln\left(\frac{2\,a\,{\mathrm{e}}^x}{b^3}-\frac{2\,a\,\left(b+a\,{\mathrm{e}}^x\right)}{b^3\,\sqrt{a+b}\,\sqrt{a-b}}\right)}{b^2\,\sqrt{a+b}\,\sqrt{a-b}}-\frac{a\,\ln\left(\frac{2\,a\,{\mathrm{e}}^x}{b^3}+\frac{2\,a\,\left(b+a\,{\mathrm{e}}^x\right)}{b^3\,\sqrt{a+b}\,\sqrt{a-b}}\right)}{b^2\,\sqrt{a+b}\,\sqrt{a-b}}","Not used",1,"x/b^2 + (2/b + (2*a*exp(x))/b^2)/(b + 2*a*exp(x) + b*exp(2*x)) + (a*log((2*a*exp(x))/b^3 - (2*a*(b + a*exp(x)))/(b^3*(a + b)^(1/2)*(a - b)^(1/2))))/(b^2*(a + b)^(1/2)*(a - b)^(1/2)) - (a*log((2*a*exp(x))/b^3 + (2*a*(b + a*exp(x)))/(b^3*(a + b)^(1/2)*(a - b)^(1/2))))/(b^2*(a + b)^(1/2)*(a - b)^(1/2))","B"
179,1,722,113,5.940615,"\text{Not used}","int(tanh(x)^4/(a + b*cosh(x)),x)","\frac{8}{3\,a\,\left(3\,{\mathrm{e}}^{2\,x}+3\,{\mathrm{e}}^{4\,x}+{\mathrm{e}}^{6\,x}+1\right)}-\frac{\frac{4}{a}-\frac{2\,b\,{\mathrm{e}}^x}{a^2}}{2\,{\mathrm{e}}^{2\,x}+{\mathrm{e}}^{4\,x}+1}+\frac{\frac{2\,\left(2\,a^2-b^2\right)}{a^3}-\frac{b\,{\mathrm{e}}^x}{a^2}}{{\mathrm{e}}^{2\,x}+1}+\frac{\ln\left(\frac{\left(\frac{32\,a^8-288\,{\mathrm{e}}^x\,a^7\,b-272\,a^6\,b^2+600\,{\mathrm{e}}^x\,a^5\,b^3+456\,a^4\,b^4-416\,{\mathrm{e}}^x\,a^3\,b^5-288\,a^2\,b^6+96\,{\mathrm{e}}^x\,a\,b^7+64\,b^8}{a^6\,b^4}-\frac{\left(\frac{32\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(4\,{\mathrm{e}}^x\,a^3+3\,a^2\,b-3\,{\mathrm{e}}^x\,a\,b^2-2\,b^3\right)}{a^2\,b^5}+\frac{16\,\left(a^2-b^2\right)\,\left(8\,{\mathrm{e}}^x\,a^3+4\,a^2\,b-7\,{\mathrm{e}}^x\,a\,b^2-4\,b^3\right)}{a\,b^5}\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}}{a^4}\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}}{a^4}-\frac{8\,{\left(a^2-b^2\right)}^2\,\left(3\,a^2-2\,b^2\right)\,\left(10\,{\mathrm{e}}^x\,a^3+6\,a^2\,b-7\,{\mathrm{e}}^x\,a\,b^2-4\,b^3\right)}{a^9\,b^3}\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}}{a^4}-\frac{\ln\left(-\frac{\left(\frac{32\,a^8-288\,{\mathrm{e}}^x\,a^7\,b-272\,a^6\,b^2+600\,{\mathrm{e}}^x\,a^5\,b^3+456\,a^4\,b^4-416\,{\mathrm{e}}^x\,a^3\,b^5-288\,a^2\,b^6+96\,{\mathrm{e}}^x\,a\,b^7+64\,b^8}{a^6\,b^4}-\frac{\left(\frac{32\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(4\,{\mathrm{e}}^x\,a^3+3\,a^2\,b-3\,{\mathrm{e}}^x\,a\,b^2-2\,b^3\right)}{a^2\,b^5}-\frac{16\,\left(a^2-b^2\right)\,\left(8\,{\mathrm{e}}^x\,a^3+4\,a^2\,b-7\,{\mathrm{e}}^x\,a\,b^2-4\,b^3\right)}{a\,b^5}\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}}{a^4}\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}}{a^4}-\frac{8\,{\left(a^2-b^2\right)}^2\,\left(3\,a^2-2\,b^2\right)\,\left(10\,{\mathrm{e}}^x\,a^3+6\,a^2\,b-7\,{\mathrm{e}}^x\,a\,b^2-4\,b^3\right)}{a^9\,b^3}\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}}{a^4}-\frac{b\,\ln\left({\mathrm{e}}^x-\mathrm{i}\right)\,\left(3\,a^2-2\,b^2\right)\,1{}\mathrm{i}}{2\,a^4}+\frac{b\,\ln\left({\mathrm{e}}^x+1{}\mathrm{i}\right)\,\left(3\,a^2-2\,b^2\right)\,1{}\mathrm{i}}{2\,a^4}","Not used",1,"8/(3*a*(3*exp(2*x) + 3*exp(4*x) + exp(6*x) + 1)) - (4/a - (2*b*exp(x))/a^2)/(2*exp(2*x) + exp(4*x) + 1) + ((2*(2*a^2 - b^2))/a^3 - (b*exp(x))/a^2)/(exp(2*x) + 1) + (log((((32*a^8 + 64*b^8 - 288*a^2*b^6 + 456*a^4*b^4 - 272*a^6*b^2 + 96*a*b^7*exp(x) - 288*a^7*b*exp(x) - 416*a^3*b^5*exp(x) + 600*a^5*b^3*exp(x))/(a^6*b^4) - (((32*((a + b)^3*(a - b)^3)^(1/2)*(3*a^2*b - 2*b^3 + 4*a^3*exp(x) - 3*a*b^2*exp(x)))/(a^2*b^5) + (16*(a^2 - b^2)*(4*a^2*b - 4*b^3 + 8*a^3*exp(x) - 7*a*b^2*exp(x)))/(a*b^5))*((a + b)^3*(a - b)^3)^(1/2))/a^4)*((a + b)^3*(a - b)^3)^(1/2))/a^4 - (8*(a^2 - b^2)^2*(3*a^2 - 2*b^2)*(6*a^2*b - 4*b^3 + 10*a^3*exp(x) - 7*a*b^2*exp(x)))/(a^9*b^3))*((a + b)^3*(a - b)^3)^(1/2))/a^4 - (log(- (((32*a^8 + 64*b^8 - 288*a^2*b^6 + 456*a^4*b^4 - 272*a^6*b^2 + 96*a*b^7*exp(x) - 288*a^7*b*exp(x) - 416*a^3*b^5*exp(x) + 600*a^5*b^3*exp(x))/(a^6*b^4) - (((32*((a + b)^3*(a - b)^3)^(1/2)*(3*a^2*b - 2*b^3 + 4*a^3*exp(x) - 3*a*b^2*exp(x)))/(a^2*b^5) - (16*(a^2 - b^2)*(4*a^2*b - 4*b^3 + 8*a^3*exp(x) - 7*a*b^2*exp(x)))/(a*b^5))*((a + b)^3*(a - b)^3)^(1/2))/a^4)*((a + b)^3*(a - b)^3)^(1/2))/a^4 - (8*(a^2 - b^2)^2*(3*a^2 - 2*b^2)*(6*a^2*b - 4*b^3 + 10*a^3*exp(x) - 7*a*b^2*exp(x)))/(a^9*b^3))*((a + b)^3*(a - b)^3)^(1/2))/a^4 - (b*log(exp(x) - 1i)*(3*a^2 - 2*b^2)*1i)/(2*a^4) + (b*log(exp(x) + 1i)*(3*a^2 - 2*b^2)*1i)/(2*a^4)","B"
180,1,1221,57,1.610240,"\text{Not used}","int(tanh(x)^3/(a + b*cosh(x)),x)","\frac{\frac{2}{a}-\frac{2\,b\,{\mathrm{e}}^x}{a^2}}{{\mathrm{e}}^{2\,x}+1}-\frac{2}{a\,\left(2\,{\mathrm{e}}^{2\,x}+{\mathrm{e}}^{4\,x}+1\right)}+\frac{\left(2\,\mathrm{atan}\left(\left(4\,a^4\,b^3\,{\left(a^2-b^2\right)}^2\,\sqrt{-a^6}-4\,a^6\,b\,{\left(a^2-b^2\right)}^2\,\sqrt{-a^6}\right)\,\left({\mathrm{e}}^x\,\left(\frac{1}{16\,a^4\,b^2\,{\left(a^2-b^2\right)}^3\,\sqrt{{\left(a^2-b^2\right)}^2}}-\frac{{\left(a^2-2\,b^2\right)}^2}{16\,a^8\,b^2\,{\left(a^2-b^2\right)}^3\,\sqrt{{\left(a^2-b^2\right)}^2}}\right)+\frac{1}{8\,a^5\,b\,{\left(a^2-b^2\right)}^3\,\sqrt{{\left(a^2-b^2\right)}^2}}+\frac{a^2-2\,b^2}{8\,a^7\,b\,{\left(a^2-b^2\right)}^3\,\sqrt{{\left(a^2-b^2\right)}^2}}\right)\right)+2\,\mathrm{atan}\left(\frac{a^2\,\sqrt{-a^6}\,\sqrt{a^4-2\,a^2\,b^2+b^4}-2\,b^2\,\sqrt{-a^6}\,\sqrt{a^4-2\,a^2\,b^2+b^4}}{2\,a^3\,{\left(a^2-b^2\right)}^2}+\frac{\left(a^7-a^5\,b^2\right)\,\sqrt{-a^6}}{2\,a^6\,\left(a^2-b^2\right)\,\sqrt{{\left(a^2-b^2\right)}^2}}+\frac{a^6\,b^2\,{\mathrm{e}}^{3\,x}\,\left(\frac{2\,\left(a^7-a^5\,b^2\right)\,\sqrt{a^4-2\,a^2\,b^2+b^4}}{a^{11}\,b^3\,\left(a^2-b^2\right)\,\sqrt{{\left(a^2-b^2\right)}^2}}-\frac{2\,\left(a^2-2\,b^2\right)\,\left(a^2\,\sqrt{-a^6}\,\sqrt{a^4-2\,a^2\,b^2+b^4}-2\,b^2\,\sqrt{-a^6}\,\sqrt{a^4-2\,a^2\,b^2+b^4}\right)\,\sqrt{a^4-2\,a^2\,b^2+b^4}}{a^{10}\,b^3\,{\left(a^2-b^2\right)}^2\,\sqrt{-a^6}}\right)\,\sqrt{-a^6}}{8\,\sqrt{a^4-2\,a^2\,b^2+b^4}}-\frac{a^6\,b^2\,{\mathrm{e}}^x\,\sqrt{-a^6}\,\left(\frac{8\,\left(a^4-2\,a^2\,b^2+b^4\right)}{a^8\,b\,{\left(a^2-b^2\right)}^2}-\frac{4\,\left(2\,a^6\,b-2\,a^4\,b^3\right)\,\sqrt{a^4-2\,a^2\,b^2+b^4}}{a^{12}\,b^2\,\left(a^2-b^2\right)\,\sqrt{{\left(a^2-b^2\right)}^2}}-\frac{2\,\left(a^7-a^5\,b^2\right)\,\sqrt{a^4-2\,a^2\,b^2+b^4}}{a^{11}\,b^3\,\left(a^2-b^2\right)\,\sqrt{{\left(a^2-b^2\right)}^2}}+\frac{2\,\left(a^2-2\,b^2\right)\,\left(a^2\,\sqrt{-a^6}\,\sqrt{a^4-2\,a^2\,b^2+b^4}-2\,b^2\,\sqrt{-a^6}\,\sqrt{a^4-2\,a^2\,b^2+b^4}\right)\,\sqrt{a^4-2\,a^2\,b^2+b^4}}{a^{10}\,b^3\,{\left(a^2-b^2\right)}^2\,\sqrt{-a^6}}\right)}{8\,\sqrt{a^4-2\,a^2\,b^2+b^4}}+\frac{a^6\,b^2\,{\mathrm{e}}^{2\,x}\,\sqrt{-a^6}\,\left(\frac{4\,\left(a^2-2\,b^2\right)\,\left(a^4-2\,a^2\,b^2+b^4\right)}{a^9\,b^2\,{\left(a^2-b^2\right)}^2}+\frac{4\,\left(a^2\,\sqrt{-a^6}\,\sqrt{a^4-2\,a^2\,b^2+b^4}-2\,b^2\,\sqrt{-a^6}\,\sqrt{a^4-2\,a^2\,b^2+b^4}\right)\,\sqrt{a^4-2\,a^2\,b^2+b^4}}{a^9\,b^2\,{\left(a^2-b^2\right)}^2\,\sqrt{-a^6}}+\frac{2\,\left(2\,a^6\,b-2\,a^4\,b^3\right)\,\sqrt{a^4-2\,a^2\,b^2+b^4}}{a^{11}\,b^3\,\left(a^2-b^2\right)\,\sqrt{{\left(a^2-b^2\right)}^2}}+\frac{4\,\left(a^7-a^5\,b^2\right)\,\sqrt{a^4-2\,a^2\,b^2+b^4}}{a^{12}\,b^2\,\left(a^2-b^2\right)\,\sqrt{{\left(a^2-b^2\right)}^2}}\right)}{8\,\sqrt{a^4-2\,a^2\,b^2+b^4}}\right)\right)\,\sqrt{a^4-2\,a^2\,b^2+b^4}}{\sqrt{-a^6}}","Not used",1,"(2/a - (2*b*exp(x))/a^2)/(exp(2*x) + 1) - 2/(a*(2*exp(2*x) + exp(4*x) + 1)) + ((2*atan((4*a^4*b^3*(a^2 - b^2)^2*(-a^6)^(1/2) - 4*a^6*b*(a^2 - b^2)^2*(-a^6)^(1/2))*(exp(x)*(1/(16*a^4*b^2*(a^2 - b^2)^3*((a^2 - b^2)^2)^(1/2)) - (a^2 - 2*b^2)^2/(16*a^8*b^2*(a^2 - b^2)^3*((a^2 - b^2)^2)^(1/2))) + 1/(8*a^5*b*(a^2 - b^2)^3*((a^2 - b^2)^2)^(1/2)) + (a^2 - 2*b^2)/(8*a^7*b*(a^2 - b^2)^3*((a^2 - b^2)^2)^(1/2)))) + 2*atan((a^2*(-a^6)^(1/2)*(a^4 + b^4 - 2*a^2*b^2)^(1/2) - 2*b^2*(-a^6)^(1/2)*(a^4 + b^4 - 2*a^2*b^2)^(1/2))/(2*a^3*(a^2 - b^2)^2) + ((a^7 - a^5*b^2)*(-a^6)^(1/2))/(2*a^6*(a^2 - b^2)*((a^2 - b^2)^2)^(1/2)) + (a^6*b^2*exp(3*x)*((2*(a^7 - a^5*b^2)*(a^4 + b^4 - 2*a^2*b^2)^(1/2))/(a^11*b^3*(a^2 - b^2)*((a^2 - b^2)^2)^(1/2)) - (2*(a^2 - 2*b^2)*(a^2*(-a^6)^(1/2)*(a^4 + b^4 - 2*a^2*b^2)^(1/2) - 2*b^2*(-a^6)^(1/2)*(a^4 + b^4 - 2*a^2*b^2)^(1/2))*(a^4 + b^4 - 2*a^2*b^2)^(1/2))/(a^10*b^3*(a^2 - b^2)^2*(-a^6)^(1/2)))*(-a^6)^(1/2))/(8*(a^4 + b^4 - 2*a^2*b^2)^(1/2)) - (a^6*b^2*exp(x)*(-a^6)^(1/2)*((8*(a^4 + b^4 - 2*a^2*b^2))/(a^8*b*(a^2 - b^2)^2) - (4*(2*a^6*b - 2*a^4*b^3)*(a^4 + b^4 - 2*a^2*b^2)^(1/2))/(a^12*b^2*(a^2 - b^2)*((a^2 - b^2)^2)^(1/2)) - (2*(a^7 - a^5*b^2)*(a^4 + b^4 - 2*a^2*b^2)^(1/2))/(a^11*b^3*(a^2 - b^2)*((a^2 - b^2)^2)^(1/2)) + (2*(a^2 - 2*b^2)*(a^2*(-a^6)^(1/2)*(a^4 + b^4 - 2*a^2*b^2)^(1/2) - 2*b^2*(-a^6)^(1/2)*(a^4 + b^4 - 2*a^2*b^2)^(1/2))*(a^4 + b^4 - 2*a^2*b^2)^(1/2))/(a^10*b^3*(a^2 - b^2)^2*(-a^6)^(1/2))))/(8*(a^4 + b^4 - 2*a^2*b^2)^(1/2)) + (a^6*b^2*exp(2*x)*(-a^6)^(1/2)*((4*(a^2 - 2*b^2)*(a^4 + b^4 - 2*a^2*b^2))/(a^9*b^2*(a^2 - b^2)^2) + (4*(a^2*(-a^6)^(1/2)*(a^4 + b^4 - 2*a^2*b^2)^(1/2) - 2*b^2*(-a^6)^(1/2)*(a^4 + b^4 - 2*a^2*b^2)^(1/2))*(a^4 + b^4 - 2*a^2*b^2)^(1/2))/(a^9*b^2*(a^2 - b^2)^2*(-a^6)^(1/2)) + (2*(2*a^6*b - 2*a^4*b^3)*(a^4 + b^4 - 2*a^2*b^2)^(1/2))/(a^11*b^3*(a^2 - b^2)*((a^2 - b^2)^2)^(1/2)) + (4*(a^7 - a^5*b^2)*(a^4 + b^4 - 2*a^2*b^2)^(1/2))/(a^12*b^2*(a^2 - b^2)*((a^2 - b^2)^2)^(1/2))))/(8*(a^4 + b^4 - 2*a^2*b^2)^(1/2))))*(a^4 + b^4 - 2*a^2*b^2)^(1/2))/(-a^6)^(1/2)","B"
181,1,285,61,3.533022,"\text{Not used}","int(tanh(x)^2/(a + b*cosh(x)),x)","\frac{2}{a+a\,{\mathrm{e}}^{2\,x}}+\frac{\ln\left(64\,a^3\,b-64\,a\,b^3-32\,b^3\,\sqrt{a^2-b^2}+128\,a^4\,{\mathrm{e}}^x+32\,b^4\,{\mathrm{e}}^x+64\,a^2\,b\,\sqrt{a^2-b^2}+128\,a^3\,{\mathrm{e}}^x\,\sqrt{a^2-b^2}-160\,a^2\,b^2\,{\mathrm{e}}^x-96\,a\,b^2\,{\mathrm{e}}^x\,\sqrt{a^2-b^2}\right)\,\sqrt{a^2-b^2}}{a^2}-\frac{\ln\left(64\,a^3\,b-64\,a\,b^3+32\,b^3\,\sqrt{a^2-b^2}+128\,a^4\,{\mathrm{e}}^x+32\,b^4\,{\mathrm{e}}^x-64\,a^2\,b\,\sqrt{a^2-b^2}-128\,a^3\,{\mathrm{e}}^x\,\sqrt{a^2-b^2}-160\,a^2\,b^2\,{\mathrm{e}}^x+96\,a\,b^2\,{\mathrm{e}}^x\,\sqrt{a^2-b^2}\right)\,\sqrt{a^2-b^2}}{a^2}-\frac{b\,\left(\ln\left({\mathrm{e}}^x-\mathrm{i}\right)\,1{}\mathrm{i}-\ln\left({\mathrm{e}}^x+1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)}{a^2}","Not used",1,"2/(a + a*exp(2*x)) + (log(64*a^3*b - 64*a*b^3 - 32*b^3*(a^2 - b^2)^(1/2) + 128*a^4*exp(x) + 32*b^4*exp(x) + 64*a^2*b*(a^2 - b^2)^(1/2) + 128*a^3*exp(x)*(a^2 - b^2)^(1/2) - 160*a^2*b^2*exp(x) - 96*a*b^2*exp(x)*(a^2 - b^2)^(1/2))*(a^2 - b^2)^(1/2))/a^2 - (log(64*a^3*b - 64*a*b^3 + 32*b^3*(a^2 - b^2)^(1/2) + 128*a^4*exp(x) + 32*b^4*exp(x) - 64*a^2*b*(a^2 - b^2)^(1/2) - 128*a^3*exp(x)*(a^2 - b^2)^(1/2) - 160*a^2*b^2*exp(x) + 96*a*b^2*exp(x)*(a^2 - b^2)^(1/2))*(a^2 - b^2)^(1/2))/a^2 - (b*(log(exp(x) - 1i)*1i - log(exp(x) + 1i)*1i))/a^2","B"
182,1,201,20,0.425373,"\text{Not used}","int(tanh(x)/(a + b*cosh(x)),x)","\frac{2\,\mathrm{atan}\left(\frac{a\,\sqrt{-a^2}+b\,{\mathrm{e}}^x\,\sqrt{-a^2}+2\,a\,{\mathrm{e}}^{2\,x}\,\sqrt{-a^2}+b\,{\mathrm{e}}^{3\,x}\,\sqrt{-a^2}}{a^2}\right)}{\sqrt{-a^2}}-\frac{2\,\mathrm{atan}\left(\left(4\,a^4\,b\,\sqrt{-a^2}-4\,a^2\,b^3\,\sqrt{-a^2}\right)\,\left({\mathrm{e}}^x\,\left(\frac{1}{16\,b^2\,{\left(a^2-b^2\right)}^2}-\frac{{\left(a^2-2\,b^2\right)}^2}{16\,a^4\,b^2\,{\left(a^2-b^2\right)}^2}\right)+\frac{1}{8\,a\,b\,{\left(a^2-b^2\right)}^2}+\frac{a^2-2\,b^2}{8\,a^3\,b\,{\left(a^2-b^2\right)}^2}\right)\right)}{\sqrt{-a^2}}","Not used",1,"(2*atan((a*(-a^2)^(1/2) + b*exp(x)*(-a^2)^(1/2) + 2*a*exp(2*x)*(-a^2)^(1/2) + b*exp(3*x)*(-a^2)^(1/2))/a^2))/(-a^2)^(1/2) - (2*atan((4*a^4*b*(-a^2)^(1/2) - 4*a^2*b^3*(-a^2)^(1/2))*(exp(x)*(1/(16*b^2*(a^2 - b^2)^2) - (a^2 - 2*b^2)^2/(16*a^4*b^2*(a^2 - b^2)^2)) + 1/(8*a*b*(a^2 - b^2)^2) + (a^2 - 2*b^2)/(8*a^3*b*(a^2 - b^2)^2))))/(-a^2)^(1/2)","B"
183,1,148,54,0.427086,"\text{Not used}","int(coth(x)/(a + b*cosh(x)),x)","\frac{\ln\left(128\,a\,b-128\,a^2-32\,b^2+128\,a^2\,{\mathrm{e}}^x+32\,b^2\,{\mathrm{e}}^x-128\,a\,b\,{\mathrm{e}}^x\right)}{a+b}+\frac{\ln\left(-128\,a\,b-128\,a^2-32\,b^2-128\,a^2\,{\mathrm{e}}^x-32\,b^2\,{\mathrm{e}}^x-128\,a\,b\,{\mathrm{e}}^x\right)}{a-b}-\frac{a\,\ln\left(16\,a^2\,b-4\,b^3\,{\mathrm{e}}^{2\,x}-4\,b^3+32\,a^3\,{\mathrm{e}}^x-8\,a\,b^2\,{\mathrm{e}}^x+16\,a^2\,b\,{\mathrm{e}}^{2\,x}\right)}{a^2-b^2}","Not used",1,"log(128*a*b - 128*a^2 - 32*b^2 + 128*a^2*exp(x) + 32*b^2*exp(x) - 128*a*b*exp(x))/(a + b) + log(- 128*a*b - 128*a^2 - 32*b^2 - 128*a^2*exp(x) - 32*b^2*exp(x) - 128*a*b*exp(x))/(a - b) - (a*log(16*a^2*b - 4*b^3*exp(2*x) - 4*b^3 + 32*a^3*exp(x) - 8*a*b^2*exp(x) + 16*a^2*b*exp(2*x)))/(a^2 - b^2)","B"
184,1,337,77,1.337951,"\text{Not used}","int(coth(x)^2/(a + b*cosh(x)),x)","-\frac{\frac{2\,a}{a^2-b^2}-\frac{2\,b\,{\mathrm{e}}^x}{a^2-b^2}}{{\mathrm{e}}^{2\,x}-1}-\frac{2\,\mathrm{atan}\left(\left({\mathrm{e}}^x\,\left(\frac{2\,a^2}{b^2\,{\left(a^2-b^2\right)}^2\,\sqrt{a^4}}+\frac{2\,\left(a^3\,\sqrt{a^4}-a\,b^2\,\sqrt{a^4}\right)}{a\,b^2\,\left(a^2-b^2\right)\,\sqrt{-{\left(a^2-b^2\right)}^3}\,\sqrt{-a^6+3\,a^4\,b^2-3\,a^2\,b^4+b^6}}\right)-\frac{2\,\left(b^3\,\sqrt{a^4}-a^2\,b\,\sqrt{a^4}\right)}{a\,b^2\,\left(a^2-b^2\right)\,\sqrt{-{\left(a^2-b^2\right)}^3}\,\sqrt{-a^6+3\,a^4\,b^2-3\,a^2\,b^4+b^6}}\right)\,\left(\frac{b^3\,\sqrt{-a^6+3\,a^4\,b^2-3\,a^2\,b^4+b^6}}{2}-\frac{a^2\,b\,\sqrt{-a^6+3\,a^4\,b^2-3\,a^2\,b^4+b^6}}{2}\right)\right)\,\sqrt{a^4}}{\sqrt{-a^6+3\,a^4\,b^2-3\,a^2\,b^4+b^6}}","Not used",1,"- ((2*a)/(a^2 - b^2) - (2*b*exp(x))/(a^2 - b^2))/(exp(2*x) - 1) - (2*atan((exp(x)*((2*a^2)/(b^2*(a^2 - b^2)^2*(a^4)^(1/2)) + (2*(a^3*(a^4)^(1/2) - a*b^2*(a^4)^(1/2)))/(a*b^2*(a^2 - b^2)*(-(a^2 - b^2)^3)^(1/2)*(b^6 - a^6 - 3*a^2*b^4 + 3*a^4*b^2)^(1/2))) - (2*(b^3*(a^4)^(1/2) - a^2*b*(a^4)^(1/2)))/(a*b^2*(a^2 - b^2)*(-(a^2 - b^2)^3)^(1/2)*(b^6 - a^6 - 3*a^2*b^4 + 3*a^4*b^2)^(1/2)))*((b^3*(b^6 - a^6 - 3*a^2*b^4 + 3*a^4*b^2)^(1/2))/2 - (a^2*b*(b^6 - a^6 - 3*a^2*b^4 + 3*a^4*b^2)^(1/2))/2))*(a^4)^(1/2))/(b^6 - a^6 - 3*a^2*b^4 + 3*a^4*b^2)^(1/2)","B"
185,1,291,94,1.518684,"\text{Not used}","int(coth(x)^3/(a + b*cosh(x)),x)","\frac{\frac{2\,\left(a\,b^2-a^3\right)}{{\left(a^2-b^2\right)}^2}+\frac{{\mathrm{e}}^x\,\left(a^2\,b-b^3\right)}{{\left(a^2-b^2\right)}^2}}{{\mathrm{e}}^{2\,x}-1}-\frac{\frac{2\,a}{a^2-b^2}-\frac{2\,b\,{\mathrm{e}}^x}{a^2-b^2}}{{\mathrm{e}}^{4\,x}-2\,{\mathrm{e}}^{2\,x}+1}+\frac{\ln\left({\mathrm{e}}^x+1\right)\,\left(2\,a-b\right)}{2\,a^2-4\,a\,b+2\,b^2}-\frac{a^3\,\ln\left(b^7\,{\mathrm{e}}^{2\,x}-16\,a^6\,b+b^7-6\,a^2\,b^5+9\,a^4\,b^3-32\,a^7\,{\mathrm{e}}^x-6\,a^2\,b^5\,{\mathrm{e}}^{2\,x}+9\,a^4\,b^3\,{\mathrm{e}}^{2\,x}+2\,a\,b^6\,{\mathrm{e}}^x-16\,a^6\,b\,{\mathrm{e}}^{2\,x}-12\,a^3\,b^4\,{\mathrm{e}}^x+18\,a^5\,b^2\,{\mathrm{e}}^x\right)}{a^4-2\,a^2\,b^2+b^4}+\frac{\ln\left({\mathrm{e}}^x-1\right)\,\left(2\,a+b\right)}{2\,a^2+4\,a\,b+2\,b^2}","Not used",1,"((2*(a*b^2 - a^3))/(a^2 - b^2)^2 + (exp(x)*(a^2*b - b^3))/(a^2 - b^2)^2)/(exp(2*x) - 1) - ((2*a)/(a^2 - b^2) - (2*b*exp(x))/(a^2 - b^2))/(exp(4*x) - 2*exp(2*x) + 1) + (log(exp(x) + 1)*(2*a - b))/(2*a^2 - 4*a*b + 2*b^2) - (a^3*log(b^7*exp(2*x) - 16*a^6*b + b^7 - 6*a^2*b^5 + 9*a^4*b^3 - 32*a^7*exp(x) - 6*a^2*b^5*exp(2*x) + 9*a^4*b^3*exp(2*x) + 2*a*b^6*exp(x) - 16*a^6*b*exp(2*x) - 12*a^3*b^4*exp(x) + 18*a^5*b^2*exp(x)))/(a^4 + b^4 - 2*a^2*b^2) + (log(exp(x) - 1)*(2*a + b))/(4*a*b + 2*a^2 + 2*b^2)","B"
186,1,666,137,1.805560,"\text{Not used}","int(coth(x)^4/(a + b*cosh(x)),x)","\frac{\frac{4\,\left(a\,b^2-a^3\right)}{{\left(a^2-b^2\right)}^2}+\frac{8\,{\mathrm{e}}^x\,\left(a^2\,b-b^3\right)}{3\,{\left(a^2-b^2\right)}^2}}{{\mathrm{e}}^{4\,x}-2\,{\mathrm{e}}^{2\,x}+1}-\frac{\frac{8\,a}{3\,\left(a^2-b^2\right)}-\frac{8\,b\,{\mathrm{e}}^x}{3\,\left(a^2-b^2\right)}}{3\,{\mathrm{e}}^{2\,x}-3\,{\mathrm{e}}^{4\,x}+{\mathrm{e}}^{6\,x}-1}-\frac{\frac{2\,a\,\left(2\,a^2-b^2\right)}{{\left(a^2-b^2\right)}^2}-\frac{2\,b\,{\mathrm{e}}^x\,\left(2\,a^2-b^2\right)}{{\left(a^2-b^2\right)}^2}}{{\mathrm{e}}^{2\,x}-1}+\frac{2\,\mathrm{atan}\left(\left({\mathrm{e}}^x\,\left(\frac{2\,a^4}{b^2\,{\left(a^2-b^2\right)}^2\,\sqrt{a^8}\,\left(a^4-2\,a^2\,b^2+b^4\right)}+\frac{2\,\left(a^5\,\sqrt{a^8}-2\,a^3\,b^2\,\sqrt{a^8}+a\,b^4\,\sqrt{a^8}\right)}{a^3\,b^2\,\sqrt{-{\left(a^2-b^2\right)}^5}\,\left(a^4-2\,a^2\,b^2+b^4\right)\,\sqrt{-a^{10}+5\,a^8\,b^2-10\,a^6\,b^4+10\,a^4\,b^6-5\,a^2\,b^8+b^{10}}}\right)+\frac{2\,\left(b^5\,\sqrt{a^8}-2\,a^2\,b^3\,\sqrt{a^8}+a^4\,b\,\sqrt{a^8}\right)}{a^3\,b^2\,\sqrt{-{\left(a^2-b^2\right)}^5}\,\left(a^4-2\,a^2\,b^2+b^4\right)\,\sqrt{-a^{10}+5\,a^8\,b^2-10\,a^6\,b^4+10\,a^4\,b^6-5\,a^2\,b^8+b^{10}}}\right)\,\left(\frac{b^5\,\sqrt{-a^{10}+5\,a^8\,b^2-10\,a^6\,b^4+10\,a^4\,b^6-5\,a^2\,b^8+b^{10}}}{2}-a^2\,b^3\,\sqrt{-a^{10}+5\,a^8\,b^2-10\,a^6\,b^4+10\,a^4\,b^6-5\,a^2\,b^8+b^{10}}+\frac{a^4\,b\,\sqrt{-a^{10}+5\,a^8\,b^2-10\,a^6\,b^4+10\,a^4\,b^6-5\,a^2\,b^8+b^{10}}}{2}\right)\right)\,\sqrt{a^8}}{\sqrt{-a^{10}+5\,a^8\,b^2-10\,a^6\,b^4+10\,a^4\,b^6-5\,a^2\,b^8+b^{10}}}","Not used",1,"((4*(a*b^2 - a^3))/(a^2 - b^2)^2 + (8*exp(x)*(a^2*b - b^3))/(3*(a^2 - b^2)^2))/(exp(4*x) - 2*exp(2*x) + 1) - ((8*a)/(3*(a^2 - b^2)) - (8*b*exp(x))/(3*(a^2 - b^2)))/(3*exp(2*x) - 3*exp(4*x) + exp(6*x) - 1) - ((2*a*(2*a^2 - b^2))/(a^2 - b^2)^2 - (2*b*exp(x)*(2*a^2 - b^2))/(a^2 - b^2)^2)/(exp(2*x) - 1) + (2*atan((exp(x)*((2*a^4)/(b^2*(a^2 - b^2)^2*(a^8)^(1/2)*(a^4 + b^4 - 2*a^2*b^2)) + (2*(a^5*(a^8)^(1/2) - 2*a^3*b^2*(a^8)^(1/2) + a*b^4*(a^8)^(1/2)))/(a^3*b^2*(-(a^2 - b^2)^5)^(1/2)*(a^4 + b^4 - 2*a^2*b^2)*(b^10 - a^10 - 5*a^2*b^8 + 10*a^4*b^6 - 10*a^6*b^4 + 5*a^8*b^2)^(1/2))) + (2*(b^5*(a^8)^(1/2) - 2*a^2*b^3*(a^8)^(1/2) + a^4*b*(a^8)^(1/2)))/(a^3*b^2*(-(a^2 - b^2)^5)^(1/2)*(a^4 + b^4 - 2*a^2*b^2)*(b^10 - a^10 - 5*a^2*b^8 + 10*a^4*b^6 - 10*a^6*b^4 + 5*a^8*b^2)^(1/2)))*((b^5*(b^10 - a^10 - 5*a^2*b^8 + 10*a^4*b^6 - 10*a^6*b^4 + 5*a^8*b^2)^(1/2))/2 - a^2*b^3*(b^10 - a^10 - 5*a^2*b^8 + 10*a^4*b^6 - 10*a^6*b^4 + 5*a^8*b^2)^(1/2) + (a^4*b*(b^10 - a^10 - 5*a^2*b^8 + 10*a^4*b^6 - 10*a^6*b^4 + 5*a^8*b^2)^(1/2))/2))*(a^8)^(1/2))/(b^10 - a^10 - 5*a^2*b^8 + 10*a^4*b^6 - 10*a^6*b^4 + 5*a^8*b^2)^(1/2)","B"
187,1,183,46,1.061661,"\text{Not used}","int(tanh(x)^6/(a + a*cosh(x)),x)","\frac{\frac{16}{a}-\frac{6\,{\mathrm{e}}^x}{a}}{3\,{\mathrm{e}}^{2\,x}+3\,{\mathrm{e}}^{4\,x}+{\mathrm{e}}^{6\,x}+1}-\frac{\frac{8}{a}-\frac{9\,{\mathrm{e}}^x}{2\,a}}{2\,{\mathrm{e}}^{2\,x}+{\mathrm{e}}^{4\,x}+1}+\frac{32}{5\,a\,\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{\frac{16}{a}-\frac{4\,{\mathrm{e}}^x}{a}}{4\,{\mathrm{e}}^{2\,x}+6\,{\mathrm{e}}^{4\,x}+4\,{\mathrm{e}}^{6\,x}+{\mathrm{e}}^{8\,x}+1}+\frac{\frac{2}{a}-\frac{5\,{\mathrm{e}}^x}{4\,a}}{{\mathrm{e}}^{2\,x}+1}+\frac{3\,\mathrm{atan}\left(\frac{{\mathrm{e}}^x\,\sqrt{a^2}}{a}\right)}{4\,\sqrt{a^2}}","Not used",1,"(16/a - (6*exp(x))/a)/(3*exp(2*x) + 3*exp(4*x) + exp(6*x) + 1) - (8/a - (9*exp(x))/(2*a))/(2*exp(2*x) + exp(4*x) + 1) + 32/(5*a*(5*exp(2*x) + 10*exp(4*x) + 10*exp(6*x) + 5*exp(8*x) + exp(10*x) + 1)) - (16/a - (4*exp(x))/a)/(4*exp(2*x) + 6*exp(4*x) + 4*exp(6*x) + exp(8*x) + 1) + (2/a - (5*exp(x))/(4*a))/(exp(2*x) + 1) + (3*atan((exp(x)*(a^2)^(1/2))/a))/(4*(a^2)^(1/2))","B"
188,1,117,30,1.013426,"\text{Not used}","int(tanh(x)^5/(a + a*cosh(x)),x)","\frac{\frac{8}{a}-\frac{8\,{\mathrm{e}}^x}{3\,a}}{3\,{\mathrm{e}}^{2\,x}+3\,{\mathrm{e}}^{4\,x}+{\mathrm{e}}^{6\,x}+1}-\frac{\frac{6}{a}-\frac{8\,{\mathrm{e}}^x}{3\,a}}{2\,{\mathrm{e}}^{2\,x}+{\mathrm{e}}^{4\,x}+1}+\frac{\frac{2}{a}-\frac{2\,{\mathrm{e}}^x}{a}}{{\mathrm{e}}^{2\,x}+1}-\frac{4}{a\,\left(4\,{\mathrm{e}}^{2\,x}+6\,{\mathrm{e}}^{4\,x}+4\,{\mathrm{e}}^{6\,x}+{\mathrm{e}}^{8\,x}+1\right)}","Not used",1,"(8/a - (8*exp(x))/(3*a))/(3*exp(2*x) + 3*exp(4*x) + exp(6*x) + 1) - (6/a - (8*exp(x))/(3*a))/(2*exp(2*x) + exp(4*x) + 1) + (2/a - (2*exp(x))/a)/(exp(2*x) + 1) - 4/(a*(4*exp(2*x) + 6*exp(4*x) + 4*exp(6*x) + exp(8*x) + 1))","B"
189,1,95,33,0.962363,"\text{Not used}","int(tanh(x)^4/(a + a*cosh(x)),x)","\frac{8}{3\,a\,\left(3\,{\mathrm{e}}^{2\,x}+3\,{\mathrm{e}}^{4\,x}+{\mathrm{e}}^{6\,x}+1\right)}-\frac{\frac{4}{a}-\frac{2\,{\mathrm{e}}^x}{a}}{2\,{\mathrm{e}}^{2\,x}+{\mathrm{e}}^{4\,x}+1}+\frac{\frac{2}{a}-\frac{{\mathrm{e}}^x}{a}}{{\mathrm{e}}^{2\,x}+1}+\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^x\,\sqrt{a^2}}{a}\right)}{\sqrt{a^2}}","Not used",1,"8/(3*a*(3*exp(2*x) + 3*exp(4*x) + exp(6*x) + 1)) - (4/a - (2*exp(x))/a)/(2*exp(2*x) + exp(4*x) + 1) + (2/a - exp(x)/a)/(exp(2*x) + 1) + atan((exp(x)*(a^2)^(1/2))/a)/(a^2)^(1/2)","B"
190,1,25,19,0.918714,"\text{Not used}","int(tanh(x)^3/(a + a*cosh(x)),x)","-\frac{2\,{\mathrm{e}}^x\,\left({\mathrm{e}}^{2\,x}-{\mathrm{e}}^x+1\right)}{a\,{\left({\mathrm{e}}^{2\,x}+1\right)}^2}","Not used",1,"-(2*exp(x)*(exp(2*x) - exp(x) + 1))/(a*(exp(2*x) + 1)^2)","B"
191,1,33,15,0.921423,"\text{Not used}","int(tanh(x)^2/(a + a*cosh(x)),x)","\frac{2}{a\,\left({\mathrm{e}}^{2\,x}+1\right)}+\frac{2\,\mathrm{atan}\left(\frac{{\mathrm{e}}^x\,\sqrt{a^2}}{a}\right)}{\sqrt{a^2}}","Not used",1,"2/(a*(exp(2*x) + 1)) + (2*atan((exp(x)*(a^2)^(1/2))/a))/(a^2)^(1/2)","B"
192,1,26,18,0.075556,"\text{Not used}","int(tanh(x)/(a + a*cosh(x)),x)","-\frac{2\,\ln\left(36\,{\mathrm{e}}^x+36\right)-\ln\left(3\,{\mathrm{e}}^{2\,x}+3\right)}{a}","Not used",1,"-(2*log(36*exp(x) + 36) - log(3*exp(2*x) + 3))/a","B"
193,1,51,33,0.922493,"\text{Not used}","int(coth(x)/(a + a*cosh(x)),x)","\frac{1}{a\,\left({\mathrm{e}}^{2\,x}+2\,{\mathrm{e}}^x+1\right)}-\frac{1}{a\,\left({\mathrm{e}}^x+1\right)}-\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^x\,\sqrt{-a^2}}{a}\right)}{\sqrt{-a^2}}","Not used",1,"1/(a*(exp(2*x) + 2*exp(x) + 1)) - 1/(a*(exp(x) + 1)) - atan((exp(x)*(-a^2)^(1/2))/a)/(-a^2)^(1/2)","B"
194,1,92,30,0.926756,"\text{Not used}","int(coth(x)^2/(a + a*cosh(x)),x)","-\frac{\frac{{\mathrm{e}}^{2\,x}}{2\,a}+\frac{1}{2\,a}+\frac{{\mathrm{e}}^x}{3\,a}}{3\,{\mathrm{e}}^{2\,x}+{\mathrm{e}}^{3\,x}+3\,{\mathrm{e}}^x+1}-\frac{\frac{1}{6\,a}+\frac{{\mathrm{e}}^x}{2\,a}}{{\mathrm{e}}^{2\,x}+2\,{\mathrm{e}}^x+1}-\frac{1}{2\,a\,\left({\mathrm{e}}^x-1\right)}-\frac{1}{2\,a\,\left({\mathrm{e}}^x+1\right)}","Not used",1,"- (exp(2*x)/(2*a) + 1/(2*a) + exp(x)/(3*a))/(3*exp(2*x) + exp(3*x) + 3*exp(x) + 1) - (1/(6*a) + exp(x)/(2*a))/(exp(2*x) + 2*exp(x) + 1) - 1/(2*a*(exp(x) - 1)) - 1/(2*a*(exp(x) + 1))","B"
195,1,132,46,0.961861,"\text{Not used}","int(coth(x)^3/(a + a*cosh(x)),x)","\frac{3}{2\,a\,\left({\mathrm{e}}^{2\,x}+2\,{\mathrm{e}}^x+1\right)}-\frac{1}{4\,a\,\left({\mathrm{e}}^{2\,x}-2\,{\mathrm{e}}^x+1\right)}+\frac{1}{2\,a\,\left(6\,{\mathrm{e}}^{2\,x}+4\,{\mathrm{e}}^{3\,x}+{\mathrm{e}}^{4\,x}+4\,{\mathrm{e}}^x+1\right)}-\frac{1}{4\,a\,\left({\mathrm{e}}^x-1\right)}-\frac{1}{a\,\left({\mathrm{e}}^x+1\right)}-\frac{3\,\mathrm{atan}\left(\frac{{\mathrm{e}}^x\,\sqrt{-a^2}}{a}\right)}{4\,\sqrt{-a^2}}-\frac{1}{a\,\left(3\,{\mathrm{e}}^{2\,x}+{\mathrm{e}}^{3\,x}+3\,{\mathrm{e}}^x+1\right)}","Not used",1,"3/(2*a*(exp(2*x) + 2*exp(x) + 1)) - 1/(4*a*(exp(2*x) - 2*exp(x) + 1)) + 1/(2*a*(6*exp(2*x) + 4*exp(3*x) + exp(4*x) + 4*exp(x) + 1)) - 1/(4*a*(exp(x) - 1)) - 1/(a*(exp(x) + 1)) - (3*atan((exp(x)*(-a^2)^(1/2))/a))/(4*(-a^2)^(1/2)) - 1/(a*(3*exp(2*x) + exp(3*x) + 3*exp(x) + 1))","B"
196,1,263,41,1.028537,"\text{Not used}","int(coth(x)^4/(a + a*cosh(x)),x)","\frac{1}{6\,a\,\left(3\,{\mathrm{e}}^{2\,x}-{\mathrm{e}}^{3\,x}-3\,{\mathrm{e}}^x+1\right)}-\frac{\frac{3\,{\mathrm{e}}^{2\,x}}{8\,a}+\frac{11\,{\mathrm{e}}^{3\,x}}{40\,a}+\frac{1}{8\,a}+\frac{17\,{\mathrm{e}}^x}{40\,a}}{6\,{\mathrm{e}}^{2\,x}+4\,{\mathrm{e}}^{3\,x}+{\mathrm{e}}^{4\,x}+4\,{\mathrm{e}}^x+1}-\frac{\frac{11\,{\mathrm{e}}^{2\,x}}{40\,a}+\frac{17}{120\,a}+\frac{{\mathrm{e}}^x}{4\,a}}{3\,{\mathrm{e}}^{2\,x}+{\mathrm{e}}^{3\,x}+3\,{\mathrm{e}}^x+1}-\frac{\frac{1}{8\,a}+\frac{11\,{\mathrm{e}}^x}{40\,a}}{{\mathrm{e}}^{2\,x}+2\,{\mathrm{e}}^x+1}-\frac{\frac{17\,{\mathrm{e}}^{2\,x}}{20\,a}+\frac{{\mathrm{e}}^{3\,x}}{2\,a}+\frac{11\,{\mathrm{e}}^{4\,x}}{40\,a}+\frac{11}{40\,a}+\frac{{\mathrm{e}}^x}{2\,a}}{10\,{\mathrm{e}}^{2\,x}+10\,{\mathrm{e}}^{3\,x}+5\,{\mathrm{e}}^{4\,x}+{\mathrm{e}}^{5\,x}+5\,{\mathrm{e}}^x+1}-\frac{1}{4\,a\,\left({\mathrm{e}}^{2\,x}-2\,{\mathrm{e}}^x+1\right)}-\frac{5}{8\,a\,\left({\mathrm{e}}^x-1\right)}-\frac{11}{40\,a\,\left({\mathrm{e}}^x+1\right)}","Not used",1,"1/(6*a*(3*exp(2*x) - exp(3*x) - 3*exp(x) + 1)) - ((3*exp(2*x))/(8*a) + (11*exp(3*x))/(40*a) + 1/(8*a) + (17*exp(x))/(40*a))/(6*exp(2*x) + 4*exp(3*x) + exp(4*x) + 4*exp(x) + 1) - ((11*exp(2*x))/(40*a) + 17/(120*a) + exp(x)/(4*a))/(3*exp(2*x) + exp(3*x) + 3*exp(x) + 1) - (1/(8*a) + (11*exp(x))/(40*a))/(exp(2*x) + 2*exp(x) + 1) - ((17*exp(2*x))/(20*a) + exp(3*x)/(2*a) + (11*exp(4*x))/(40*a) + 11/(40*a) + exp(x)/(2*a))/(10*exp(2*x) + 10*exp(3*x) + 5*exp(4*x) + exp(5*x) + 5*exp(x) + 1) - 1/(4*a*(exp(2*x) - 2*exp(x) + 1)) - 5/(8*a*(exp(x) - 1)) - 11/(40*a*(exp(x) + 1))","B"
197,0,-1,37,0.000000,"\text{Not used}","int(tanh(x)*(a + b*cosh(x))^(1/2),x)","\int \mathrm{tanh}\left(x\right)\,\sqrt{a+b\,\mathrm{cosh}\left(x\right)} \,d x","Not used",1,"int(tanh(x)*(a + b*cosh(x))^(1/2), x)","F"
198,0,-1,24,0.000000,"\text{Not used}","int(tanh(x)/(a + b*cosh(x))^(1/2),x)","\int \frac{\mathrm{tanh}\left(x\right)}{\sqrt{a+b\,\mathrm{cosh}\left(x\right)}} \,d x","Not used",1,"int(tanh(x)/(a + b*cosh(x))^(1/2), x)","F"
199,1,197,56,2.982386,"\text{Not used}","int((A + B*sinh(x))/(a + b*cosh(x)),x)","\frac{2\,\mathrm{atan}\left(\frac{A^2\,b^2\,{\mathrm{e}}^x\,\sqrt{b^2-a^2}}{\left(A\,b^3-A\,a^2\,b\right)\,\sqrt{A^2}}+\frac{A^2\,a\,b\,\sqrt{b^2-a^2}}{\left(A\,b^3-A\,a^2\,b\right)\,\sqrt{A^2}}\right)\,\sqrt{A^2}}{\sqrt{b^2-a^2}}-\frac{B\,x}{b}+\frac{B\,b^3\,\ln\left(4\,A^2\,b+8\,A^2\,a\,{\mathrm{e}}^x+4\,A^2\,b\,{\mathrm{e}}^{2\,x}\right)}{b^4-a^2\,b^2}-\frac{B\,a^2\,b\,\ln\left(4\,A^2\,b+8\,A^2\,a\,{\mathrm{e}}^x+4\,A^2\,b\,{\mathrm{e}}^{2\,x}\right)}{b^4-a^2\,b^2}","Not used",1,"(2*atan((A^2*b^2*exp(x)*(b^2 - a^2)^(1/2))/((A*b^3 - A*a^2*b)*(A^2)^(1/2)) + (A^2*a*b*(b^2 - a^2)^(1/2))/((A*b^3 - A*a^2*b)*(A^2)^(1/2)))*(A^2)^(1/2))/(b^2 - a^2)^(1/2) - (B*x)/b + (B*b^3*log(4*A^2*b + 8*A^2*a*exp(x) + 4*A^2*b*exp(2*x)))/(b^4 - a^2*b^2) - (B*a^2*b*log(4*A^2*b + 8*A^2*a*exp(x) + 4*A^2*b*exp(2*x)))/(b^4 - a^2*b^2)","B"
200,1,22,18,0.056436,"\text{Not used}","int((A + B*sinh(x))/(cosh(x) + 1),x)","2\,B\,\ln\left({\mathrm{e}}^x+1\right)-\frac{2\,A}{{\mathrm{e}}^x+1}-B\,x","Not used",1,"2*B*log(exp(x) + 1) - (2*A)/(exp(x) + 1) - B*x","B"
201,1,21,24,0.909287,"\text{Not used}","int(-(A + B*sinh(x))/(cosh(x) - 1),x)","B\,x+\frac{2\,A}{{\mathrm{e}}^x-1}-2\,B\,\ln\left({\mathrm{e}}^x-1\right)","Not used",1,"B*x + (2*A)/(exp(x) - 1) - 2*B*log(exp(x) - 1)","B"
202,1,160,65,12.140992,"\text{Not used}","int((A + B*tanh(x))/(a + b*cosh(x)),x)","\frac{B\,\ln\left(16\,B^2\,b^2-16\,B^2\,a^2-16\,B^2\,a^2\,{\mathrm{e}}^{2\,x}+16\,B^2\,b^2\,{\mathrm{e}}^{2\,x}\right)}{a}-\frac{B\,\ln\left(16\,B^2\,b+32\,B^2\,a\,{\mathrm{e}}^x+16\,B^2\,b\,{\mathrm{e}}^{2\,x}\right)}{a}-\frac{2\,\mathrm{atan}\left(\frac{A^2\,b^2\,{\mathrm{e}}^x\,\sqrt{b^2-a^2}+A^2\,a\,b\,\sqrt{b^2-a^2}}{A\,b\,\left(a^2-b^2\right)\,\sqrt{A^2}}\right)\,\sqrt{A^2}}{\sqrt{b^2-a^2}}","Not used",1,"(B*log(16*B^2*b^2 - 16*B^2*a^2 - 16*B^2*a^2*exp(2*x) + 16*B^2*b^2*exp(2*x)))/a - (B*log(16*B^2*b + 32*B^2*a*exp(x) + 16*B^2*b*exp(2*x)))/a - (2*atan((A^2*b^2*exp(x)*(b^2 - a^2)^(1/2) + A^2*a*b*(b^2 - a^2)^(1/2))/(A*b*(a^2 - b^2)*(A^2)^(1/2)))*(A^2)^(1/2))/(b^2 - a^2)^(1/2)","B"
203,1,974,100,3.679298,"\text{Not used}","int((A + B*coth(x))/(a + b*cosh(x)),x)","\frac{B\,\ln\left({\mathrm{e}}^x+1\right)}{a-b}+\frac{\ln\left(\frac{\left(\frac{32\,\left(A^2\,a^2\,b+2\,{\mathrm{e}}^x\,A^2\,a\,b^2+A^2\,b^3+8\,{\mathrm{e}}^x\,A\,B\,a^3+4\,A\,B\,a^2\,b-2\,{\mathrm{e}}^x\,A\,B\,a\,b^2+4\,{\mathrm{e}}^x\,B^2\,a^3+3\,B^2\,a^2\,b+5\,{\mathrm{e}}^x\,B^2\,a\,b^2+B^2\,b^3\right)}{b^5}+\frac{\left(A\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}-B\,a^3+B\,a\,b^2\right)\,\left(128\,{\mathrm{e}}^x\,{\left(a^2-b^2\right)}^3\,\left(A-2\,B\right)+a\,b^5\,\left(64\,A-128\,B\right)+a^5\,b\,\left(64\,A-128\,B\right)+96\,b^6\,{\mathrm{e}}^x\,\left(A-3\,B\right)-a^3\,b^3\,\left(128\,A-256\,B\right)-192\,a^2\,b^4\,{\mathrm{e}}^x\,\left(A-3\,B\right)+96\,a^4\,b^2\,{\mathrm{e}}^x\,\left(A-3\,B\right)+128\,A\,a^3\,{\mathrm{e}}^x\,\sqrt{{\left(a^2-b^2\right)}^3}+96\,A\,a^2\,b\,\sqrt{{\left(a^2-b^2\right)}^3}-32\,A\,a\,b^2\,{\mathrm{e}}^x\,\sqrt{{\left(a^2-b^2\right)}^3}\right)}{\left(b^7-a^2\,b^5\right)\,{\left(a^2-b^2\right)}^2}\right)\,\left(A\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}-B\,a^3+B\,a\,b^2\right)}{{\left(a^2-b^2\right)}^2}-\frac{32\,B\,\left(A^2\,a\,b+{\mathrm{e}}^x\,A^2\,b^2+4\,{\mathrm{e}}^x\,A\,B\,a^2+2\,A\,B\,a\,b-{\mathrm{e}}^x\,A\,B\,b^2+4\,{\mathrm{e}}^x\,B^2\,a^2+B^2\,a\,b\right)}{b^5}\right)\,\left(A\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}-B\,a^3+B\,a\,b^2\right)}{a^4-2\,a^2\,b^2+b^4}-\frac{\ln\left(-\frac{32\,B\,\left(A^2\,a\,b+{\mathrm{e}}^x\,A^2\,b^2+4\,{\mathrm{e}}^x\,A\,B\,a^2+2\,A\,B\,a\,b-{\mathrm{e}}^x\,A\,B\,b^2+4\,{\mathrm{e}}^x\,B^2\,a^2+B^2\,a\,b\right)}{b^5}-\frac{\left(\frac{32\,\left(A^2\,a^2\,b+2\,{\mathrm{e}}^x\,A^2\,a\,b^2+A^2\,b^3+8\,{\mathrm{e}}^x\,A\,B\,a^3+4\,A\,B\,a^2\,b-2\,{\mathrm{e}}^x\,A\,B\,a\,b^2+4\,{\mathrm{e}}^x\,B^2\,a^3+3\,B^2\,a^2\,b+5\,{\mathrm{e}}^x\,B^2\,a\,b^2+B^2\,b^3\right)}{b^5}-\frac{\left(B\,a^3+A\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}-B\,a\,b^2\right)\,\left(128\,{\mathrm{e}}^x\,{\left(a^2-b^2\right)}^3\,\left(A-2\,B\right)+a\,b^5\,\left(64\,A-128\,B\right)+a^5\,b\,\left(64\,A-128\,B\right)+96\,b^6\,{\mathrm{e}}^x\,\left(A-3\,B\right)-a^3\,b^3\,\left(128\,A-256\,B\right)-192\,a^2\,b^4\,{\mathrm{e}}^x\,\left(A-3\,B\right)+96\,a^4\,b^2\,{\mathrm{e}}^x\,\left(A-3\,B\right)-128\,A\,a^3\,{\mathrm{e}}^x\,\sqrt{{\left(a^2-b^2\right)}^3}-96\,A\,a^2\,b\,\sqrt{{\left(a^2-b^2\right)}^3}+32\,A\,a\,b^2\,{\mathrm{e}}^x\,\sqrt{{\left(a^2-b^2\right)}^3}\right)}{\left(b^7-a^2\,b^5\right)\,{\left(a^2-b^2\right)}^2}\right)\,\left(B\,a^3+A\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}-B\,a\,b^2\right)}{{\left(a^2-b^2\right)}^2}\right)\,\left(B\,a^3+A\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}-B\,a\,b^2\right)}{a^4-2\,a^2\,b^2+b^4}+\frac{B\,\ln\left({\mathrm{e}}^x-1\right)}{a+b}","Not used",1,"(B*log(exp(x) + 1))/(a - b) + (log((((32*(A^2*b^3 + B^2*b^3 + A^2*a^2*b + 3*B^2*a^2*b + 4*B^2*a^3*exp(x) + 5*B^2*a*b^2*exp(x) + 4*A*B*a^2*b + 8*A*B*a^3*exp(x) + 2*A^2*a*b^2*exp(x) - 2*A*B*a*b^2*exp(x)))/b^5 + ((A*((a + b)^3*(a - b)^3)^(1/2) - B*a^3 + B*a*b^2)*(128*exp(x)*(a^2 - b^2)^3*(A - 2*B) + a*b^5*(64*A - 128*B) + a^5*b*(64*A - 128*B) + 96*b^6*exp(x)*(A - 3*B) - a^3*b^3*(128*A - 256*B) - 192*a^2*b^4*exp(x)*(A - 3*B) + 96*a^4*b^2*exp(x)*(A - 3*B) + 128*A*a^3*exp(x)*((a^2 - b^2)^3)^(1/2) + 96*A*a^2*b*((a^2 - b^2)^3)^(1/2) - 32*A*a*b^2*exp(x)*((a^2 - b^2)^3)^(1/2)))/((b^7 - a^2*b^5)*(a^2 - b^2)^2))*(A*((a + b)^3*(a - b)^3)^(1/2) - B*a^3 + B*a*b^2))/(a^2 - b^2)^2 - (32*B*(A^2*b^2*exp(x) + 4*B^2*a^2*exp(x) + A^2*a*b + B^2*a*b + 4*A*B*a^2*exp(x) - A*B*b^2*exp(x) + 2*A*B*a*b))/b^5)*(A*((a + b)^3*(a - b)^3)^(1/2) - B*a^3 + B*a*b^2))/(a^4 + b^4 - 2*a^2*b^2) - (log(- (32*B*(A^2*b^2*exp(x) + 4*B^2*a^2*exp(x) + A^2*a*b + B^2*a*b + 4*A*B*a^2*exp(x) - A*B*b^2*exp(x) + 2*A*B*a*b))/b^5 - (((32*(A^2*b^3 + B^2*b^3 + A^2*a^2*b + 3*B^2*a^2*b + 4*B^2*a^3*exp(x) + 5*B^2*a*b^2*exp(x) + 4*A*B*a^2*b + 8*A*B*a^3*exp(x) + 2*A^2*a*b^2*exp(x) - 2*A*B*a*b^2*exp(x)))/b^5 - ((B*a^3 + A*((a + b)^3*(a - b)^3)^(1/2) - B*a*b^2)*(128*exp(x)*(a^2 - b^2)^3*(A - 2*B) + a*b^5*(64*A - 128*B) + a^5*b*(64*A - 128*B) + 96*b^6*exp(x)*(A - 3*B) - a^3*b^3*(128*A - 256*B) - 192*a^2*b^4*exp(x)*(A - 3*B) + 96*a^4*b^2*exp(x)*(A - 3*B) - 128*A*a^3*exp(x)*((a^2 - b^2)^3)^(1/2) - 96*A*a^2*b*((a^2 - b^2)^3)^(1/2) + 32*A*a*b^2*exp(x)*((a^2 - b^2)^3)^(1/2)))/((b^7 - a^2*b^5)*(a^2 - b^2)^2))*(B*a^3 + A*((a + b)^3*(a - b)^3)^(1/2) - B*a*b^2))/(a^2 - b^2)^2)*(B*a^3 + A*((a + b)^3*(a - b)^3)^(1/2) - B*a*b^2))/(a^4 + b^4 - 2*a^2*b^2) + (B*log(exp(x) - 1))/(a + b)","B"
204,1,636,62,6.413338,"\text{Not used}","int((A + B/cosh(x))/(a + b*cosh(x)),x)","\frac{\ln\left(\frac{\sqrt{\left(a+b\right)\,\left(a-b\right)}\,\left(A\,a-B\,b\right)\,\left(\frac{32\,\left(A^2\,a^2\,b-2\,A\,B\,a\,b^2-4\,{\mathrm{e}}^x\,B^2\,a^3-2\,B^2\,a^2\,b+3\,{\mathrm{e}}^x\,B^2\,a\,b^2+2\,B^2\,b^3\right)}{b^5}+\frac{\sqrt{\left(a+b\right)\,\left(a-b\right)}\,\left(A\,a-B\,b\right)\,\left(\frac{32\,a^2\,\left(2\,B\,b^2-4\,A\,a^2\,{\mathrm{e}}^x+A\,b^2\,{\mathrm{e}}^x-2\,A\,a\,b+3\,B\,a\,b\,{\mathrm{e}}^x\right)}{b^5}-\frac{32\,a^2\,\sqrt{\left(a+b\right)\,\left(a-b\right)}\,\left(A\,a-B\,b\right)\,\left(4\,{\mathrm{e}}^x\,a^3+3\,a^2\,b-3\,{\mathrm{e}}^x\,a\,b^2-2\,b^3\right)}{b^5\,\left(a\,b^2-a^3\right)}\right)}{a\,b^2-a^3}\right)}{a\,b^2-a^3}-\frac{32\,B\,\left(A\,a-B\,b\right)\,\left(2\,B\,b-A\,b\,{\mathrm{e}}^x+4\,B\,a\,{\mathrm{e}}^x\right)}{b^5}\right)\,\sqrt{\left(a+b\right)\,\left(a-b\right)}\,\left(A\,a-B\,b\right)}{a\,b^2-a^3}-\frac{\ln\left(-\frac{\sqrt{\left(a+b\right)\,\left(a-b\right)}\,\left(A\,a-B\,b\right)\,\left(\frac{32\,\left(A^2\,a^2\,b-2\,A\,B\,a\,b^2-4\,{\mathrm{e}}^x\,B^2\,a^3-2\,B^2\,a^2\,b+3\,{\mathrm{e}}^x\,B^2\,a\,b^2+2\,B^2\,b^3\right)}{b^5}-\frac{\sqrt{\left(a+b\right)\,\left(a-b\right)}\,\left(A\,a-B\,b\right)\,\left(\frac{32\,a^2\,\left(2\,B\,b^2-4\,A\,a^2\,{\mathrm{e}}^x+A\,b^2\,{\mathrm{e}}^x-2\,A\,a\,b+3\,B\,a\,b\,{\mathrm{e}}^x\right)}{b^5}+\frac{32\,a^2\,\sqrt{\left(a+b\right)\,\left(a-b\right)}\,\left(A\,a-B\,b\right)\,\left(4\,{\mathrm{e}}^x\,a^3+3\,a^2\,b-3\,{\mathrm{e}}^x\,a\,b^2-2\,b^3\right)}{b^5\,\left(a\,b^2-a^3\right)}\right)}{a\,b^2-a^3}\right)}{a\,b^2-a^3}-\frac{32\,B\,\left(A\,a-B\,b\right)\,\left(2\,B\,b-A\,b\,{\mathrm{e}}^x+4\,B\,a\,{\mathrm{e}}^x\right)}{b^5}\right)\,\sqrt{\left(a+b\right)\,\left(a-b\right)}\,\left(A\,a-B\,b\right)}{a\,b^2-a^3}-\frac{B\,\ln\left({\mathrm{e}}^x-\mathrm{i}\right)\,1{}\mathrm{i}}{a}+\frac{B\,\ln\left({\mathrm{e}}^x+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{a}","Not used",1,"(B*log(exp(x) + 1i)*1i)/a - (B*log(exp(x) - 1i)*1i)/a + (log((((a + b)*(a - b))^(1/2)*(A*a - B*b)*((32*(2*B^2*b^3 + A^2*a^2*b - 2*B^2*a^2*b - 4*B^2*a^3*exp(x) + 3*B^2*a*b^2*exp(x) - 2*A*B*a*b^2))/b^5 + (((a + b)*(a - b))^(1/2)*(A*a - B*b)*((32*a^2*(2*B*b^2 - 4*A*a^2*exp(x) + A*b^2*exp(x) - 2*A*a*b + 3*B*a*b*exp(x)))/b^5 - (32*a^2*((a + b)*(a - b))^(1/2)*(A*a - B*b)*(3*a^2*b - 2*b^3 + 4*a^3*exp(x) - 3*a*b^2*exp(x)))/(b^5*(a*b^2 - a^3))))/(a*b^2 - a^3)))/(a*b^2 - a^3) - (32*B*(A*a - B*b)*(2*B*b - A*b*exp(x) + 4*B*a*exp(x)))/b^5)*((a + b)*(a - b))^(1/2)*(A*a - B*b))/(a*b^2 - a^3) - (log(- (((a + b)*(a - b))^(1/2)*(A*a - B*b)*((32*(2*B^2*b^3 + A^2*a^2*b - 2*B^2*a^2*b - 4*B^2*a^3*exp(x) + 3*B^2*a*b^2*exp(x) - 2*A*B*a*b^2))/b^5 - (((a + b)*(a - b))^(1/2)*(A*a - B*b)*((32*a^2*(2*B*b^2 - 4*A*a^2*exp(x) + A*b^2*exp(x) - 2*A*a*b + 3*B*a*b*exp(x)))/b^5 + (32*a^2*((a + b)*(a - b))^(1/2)*(A*a - B*b)*(3*a^2*b - 2*b^3 + 4*a^3*exp(x) - 3*a*b^2*exp(x)))/(b^5*(a*b^2 - a^3))))/(a*b^2 - a^3)))/(a*b^2 - a^3) - (32*B*(A*a - B*b)*(2*B*b - A*b*exp(x) + 4*B*a*exp(x)))/b^5)*((a + b)*(a - b))^(1/2)*(A*a - B*b))/(a*b^2 - a^3)","B"
205,1,983,99,3.328483,"\text{Not used}","int((A + B/sinh(x))/(a + b*cosh(x)),x)","\frac{\ln\left(\frac{\left(\frac{32\,\left(A^2\,a^2\,b+2\,{\mathrm{e}}^x\,A^2\,a\,b^2+A^2\,b^3-8\,{\mathrm{e}}^x\,A\,B\,a^2\,b-4\,A\,B\,a\,b^2+2\,{\mathrm{e}}^x\,A\,B\,b^3+4\,{\mathrm{e}}^x\,B^2\,a^3+2\,B^2\,a^2\,b+3\,{\mathrm{e}}^x\,B^2\,a\,b^2\right)}{b^5}+\frac{\left(\frac{32\,\left(2\,B\,b^4+B\,a^2\,b^2-4\,A\,a^4\,{\mathrm{e}}^x-A\,b^4\,{\mathrm{e}}^x+2\,A\,a\,b^3-2\,A\,a^3\,b+6\,B\,a\,b^3\,{\mathrm{e}}^x-3\,B\,a^3\,b\,{\mathrm{e}}^x+5\,A\,a^2\,b^2\,{\mathrm{e}}^x\right)}{b^5}-\frac{32\,\left(A\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}-B\,b^3+B\,a^2\,b\right)\,\left(4\,{\mathrm{e}}^x\,a^5+3\,a^4\,b-5\,{\mathrm{e}}^x\,a^3\,b^2-3\,a^2\,b^3+{\mathrm{e}}^x\,a\,b^4\right)}{b^5\,\left(a^4-2\,a^2\,b^2+b^4\right)}\right)\,\left(A\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}-B\,b^3+B\,a^2\,b\right)}{a^4-2\,a^2\,b^2+b^4}\right)\,\left(A\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}-B\,b^3+B\,a^2\,b\right)}{a^4-2\,a^2\,b^2+b^4}-\frac{32\,\left({\mathrm{e}}^x\,A^2\,B\,a\,b+A^2\,B\,b^2-4\,{\mathrm{e}}^x\,A\,B^2\,a^2-2\,A\,B^2\,a\,b+{\mathrm{e}}^x\,A\,B^2\,b^2+4\,{\mathrm{e}}^x\,B^3\,a\,b+2\,B^3\,b^2\right)}{b^5}\right)\,\left(A\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}-B\,b^3+B\,a^2\,b\right)}{a^4-2\,a^2\,b^2+b^4}-\frac{B\,\ln\left({\mathrm{e}}^x+1\right)}{a-b}-\frac{\ln\left(-\frac{32\,\left({\mathrm{e}}^x\,A^2\,B\,a\,b+A^2\,B\,b^2-4\,{\mathrm{e}}^x\,A\,B^2\,a^2-2\,A\,B^2\,a\,b+{\mathrm{e}}^x\,A\,B^2\,b^2+4\,{\mathrm{e}}^x\,B^3\,a\,b+2\,B^3\,b^2\right)}{b^5}-\frac{\left(\frac{32\,\left(A^2\,a^2\,b+2\,{\mathrm{e}}^x\,A^2\,a\,b^2+A^2\,b^3-8\,{\mathrm{e}}^x\,A\,B\,a^2\,b-4\,A\,B\,a\,b^2+2\,{\mathrm{e}}^x\,A\,B\,b^3+4\,{\mathrm{e}}^x\,B^2\,a^3+2\,B^2\,a^2\,b+3\,{\mathrm{e}}^x\,B^2\,a\,b^2\right)}{b^5}-\frac{\left(\frac{32\,\left(2\,B\,b^4+B\,a^2\,b^2-4\,A\,a^4\,{\mathrm{e}}^x-A\,b^4\,{\mathrm{e}}^x+2\,A\,a\,b^3-2\,A\,a^3\,b+6\,B\,a\,b^3\,{\mathrm{e}}^x-3\,B\,a^3\,b\,{\mathrm{e}}^x+5\,A\,a^2\,b^2\,{\mathrm{e}}^x\right)}{b^5}+\frac{32\,\left(B\,b^3+A\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}-B\,a^2\,b\right)\,\left(4\,{\mathrm{e}}^x\,a^5+3\,a^4\,b-5\,{\mathrm{e}}^x\,a^3\,b^2-3\,a^2\,b^3+{\mathrm{e}}^x\,a\,b^4\right)}{b^5\,\left(a^4-2\,a^2\,b^2+b^4\right)}\right)\,\left(B\,b^3+A\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}-B\,a^2\,b\right)}{a^4-2\,a^2\,b^2+b^4}\right)\,\left(B\,b^3+A\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}-B\,a^2\,b\right)}{a^4-2\,a^2\,b^2+b^4}\right)\,\left(B\,b^3+A\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}-B\,a^2\,b\right)}{a^4-2\,a^2\,b^2+b^4}+\frac{B\,\ln\left({\mathrm{e}}^x-1\right)}{a+b}","Not used",1,"(log((((32*(A^2*b^3 + A^2*a^2*b + 2*B^2*a^2*b + 4*B^2*a^3*exp(x) + 3*B^2*a*b^2*exp(x) - 4*A*B*a*b^2 + 2*A*B*b^3*exp(x) + 2*A^2*a*b^2*exp(x) - 8*A*B*a^2*b*exp(x)))/b^5 + (((32*(2*B*b^4 + B*a^2*b^2 - 4*A*a^4*exp(x) - A*b^4*exp(x) + 2*A*a*b^3 - 2*A*a^3*b + 6*B*a*b^3*exp(x) - 3*B*a^3*b*exp(x) + 5*A*a^2*b^2*exp(x)))/b^5 - (32*(A*((a + b)^3*(a - b)^3)^(1/2) - B*b^3 + B*a^2*b)*(3*a^4*b - 3*a^2*b^3 + 4*a^5*exp(x) + a*b^4*exp(x) - 5*a^3*b^2*exp(x)))/(b^5*(a^4 + b^4 - 2*a^2*b^2)))*(A*((a + b)^3*(a - b)^3)^(1/2) - B*b^3 + B*a^2*b))/(a^4 + b^4 - 2*a^2*b^2))*(A*((a + b)^3*(a - b)^3)^(1/2) - B*b^3 + B*a^2*b))/(a^4 + b^4 - 2*a^2*b^2) - (32*(2*B^3*b^2 + A^2*B*b^2 - 2*A*B^2*a*b + 4*B^3*a*b*exp(x) - 4*A*B^2*a^2*exp(x) + A*B^2*b^2*exp(x) + A^2*B*a*b*exp(x)))/b^5)*(A*((a + b)^3*(a - b)^3)^(1/2) - B*b^3 + B*a^2*b))/(a^4 + b^4 - 2*a^2*b^2) - (B*log(exp(x) + 1))/(a - b) - (log(- (32*(2*B^3*b^2 + A^2*B*b^2 - 2*A*B^2*a*b + 4*B^3*a*b*exp(x) - 4*A*B^2*a^2*exp(x) + A*B^2*b^2*exp(x) + A^2*B*a*b*exp(x)))/b^5 - (((32*(A^2*b^3 + A^2*a^2*b + 2*B^2*a^2*b + 4*B^2*a^3*exp(x) + 3*B^2*a*b^2*exp(x) - 4*A*B*a*b^2 + 2*A*B*b^3*exp(x) + 2*A^2*a*b^2*exp(x) - 8*A*B*a^2*b*exp(x)))/b^5 - (((32*(2*B*b^4 + B*a^2*b^2 - 4*A*a^4*exp(x) - A*b^4*exp(x) + 2*A*a*b^3 - 2*A*a^3*b + 6*B*a*b^3*exp(x) - 3*B*a^3*b*exp(x) + 5*A*a^2*b^2*exp(x)))/b^5 + (32*(B*b^3 + A*((a + b)^3*(a - b)^3)^(1/2) - B*a^2*b)*(3*a^4*b - 3*a^2*b^3 + 4*a^5*exp(x) + a*b^4*exp(x) - 5*a^3*b^2*exp(x)))/(b^5*(a^4 + b^4 - 2*a^2*b^2)))*(B*b^3 + A*((a + b)^3*(a - b)^3)^(1/2) - B*a^2*b))/(a^4 + b^4 - 2*a^2*b^2))*(B*b^3 + A*((a + b)^3*(a - b)^3)^(1/2) - B*a^2*b))/(a^4 + b^4 - 2*a^2*b^2))*(B*b^3 + A*((a + b)^3*(a - b)^3)^(1/2) - B*a^2*b))/(a^4 + b^4 - 2*a^2*b^2) + (B*log(exp(x) - 1))/(a + b)","B"
206,1,653,86,2.187584,"\text{Not used}","int((A + B*cosh(d + e*x) + C*sinh(d + e*x))/(a + b*cosh(d + e*x)),x)","\frac{2\,\mathrm{atan}\left(\frac{a\,\sqrt{b^4\,e^2-a^2\,b^2\,e^2}\,\sqrt{A^2\,b^2-2\,A\,B\,a\,b+B^2\,a^2}}{B\,e\,a^3\,b-A\,e\,a^2\,b^2-B\,e\,a\,b^3+A\,e\,b^4}+\frac{a^2\,b^2\,{\mathrm{e}}^{e\,x}\,{\mathrm{e}}^d\,\sqrt{b^4\,e^2-a^2\,b^2\,e^2}\,\sqrt{A^2\,b^2-2\,A\,B\,a\,b+B^2\,a^2}}{B\,e\,a^3\,b^4-A\,e\,a^2\,b^5-B\,e\,a\,b^6+A\,e\,b^7}+\frac{A\,{\mathrm{e}}^{e\,x}\,{\mathrm{e}}^d\,\sqrt{b^4\,e^2-a^2\,b^2\,e^2}}{b\,e\,\sqrt{A^2\,b^2-2\,A\,B\,a\,b+B^2\,a^2}}-\frac{B\,a\,{\mathrm{e}}^{e\,x}\,{\mathrm{e}}^d\,\sqrt{b^4\,e^2-a^2\,b^2\,e^2}}{b^2\,e\,\sqrt{A^2\,b^2-2\,A\,B\,a\,b+B^2\,a^2}}\right)\,\sqrt{A^2\,b^2-2\,A\,B\,a\,b+B^2\,a^2}}{\sqrt{b^4\,e^2-a^2\,b^2\,e^2}}+\frac{B\,x}{b}-\frac{C\,x}{b}+\frac{C\,b^3\,e\,\ln\left(4\,A^2\,b^3+4\,B^2\,a^2\,b-8\,A\,B\,a\,b^2+8\,B^2\,a^3\,{\mathrm{e}}^{e\,x}\,{\mathrm{e}}^d+4\,A^2\,b^3\,{\mathrm{e}}^{2\,d}\,{\mathrm{e}}^{2\,e\,x}+8\,A^2\,a\,b^2\,{\mathrm{e}}^{e\,x}\,{\mathrm{e}}^d+4\,B^2\,a^2\,b\,{\mathrm{e}}^{2\,d}\,{\mathrm{e}}^{2\,e\,x}-16\,A\,B\,a^2\,b\,{\mathrm{e}}^{e\,x}\,{\mathrm{e}}^d-8\,A\,B\,a\,b^2\,{\mathrm{e}}^{2\,d}\,{\mathrm{e}}^{2\,e\,x}\right)}{b^4\,e^2-a^2\,b^2\,e^2}-\frac{C\,a^2\,b\,e\,\ln\left(4\,A^2\,b^3+4\,B^2\,a^2\,b-8\,A\,B\,a\,b^2+8\,B^2\,a^3\,{\mathrm{e}}^{e\,x}\,{\mathrm{e}}^d+4\,A^2\,b^3\,{\mathrm{e}}^{2\,d}\,{\mathrm{e}}^{2\,e\,x}+8\,A^2\,a\,b^2\,{\mathrm{e}}^{e\,x}\,{\mathrm{e}}^d+4\,B^2\,a^2\,b\,{\mathrm{e}}^{2\,d}\,{\mathrm{e}}^{2\,e\,x}-16\,A\,B\,a^2\,b\,{\mathrm{e}}^{e\,x}\,{\mathrm{e}}^d-8\,A\,B\,a\,b^2\,{\mathrm{e}}^{2\,d}\,{\mathrm{e}}^{2\,e\,x}\right)}{b^4\,e^2-a^2\,b^2\,e^2}","Not used",1,"(2*atan((a*(b^4*e^2 - a^2*b^2*e^2)^(1/2)*(A^2*b^2 + B^2*a^2 - 2*A*B*a*b)^(1/2))/(A*b^4*e - B*a*b^3*e + B*a^3*b*e - A*a^2*b^2*e) + (a^2*b^2*exp(e*x)*exp(d)*(b^4*e^2 - a^2*b^2*e^2)^(1/2)*(A^2*b^2 + B^2*a^2 - 2*A*B*a*b)^(1/2))/(A*b^7*e - B*a*b^6*e - A*a^2*b^5*e + B*a^3*b^4*e) + (A*exp(e*x)*exp(d)*(b^4*e^2 - a^2*b^2*e^2)^(1/2))/(b*e*(A^2*b^2 + B^2*a^2 - 2*A*B*a*b)^(1/2)) - (B*a*exp(e*x)*exp(d)*(b^4*e^2 - a^2*b^2*e^2)^(1/2))/(b^2*e*(A^2*b^2 + B^2*a^2 - 2*A*B*a*b)^(1/2)))*(A^2*b^2 + B^2*a^2 - 2*A*B*a*b)^(1/2))/(b^4*e^2 - a^2*b^2*e^2)^(1/2) + (B*x)/b - (C*x)/b + (C*b^3*e*log(4*A^2*b^3 + 4*B^2*a^2*b - 8*A*B*a*b^2 + 8*B^2*a^3*exp(e*x)*exp(d) + 4*A^2*b^3*exp(2*d)*exp(2*e*x) + 8*A^2*a*b^2*exp(e*x)*exp(d) + 4*B^2*a^2*b*exp(2*d)*exp(2*e*x) - 16*A*B*a^2*b*exp(e*x)*exp(d) - 8*A*B*a*b^2*exp(2*d)*exp(2*e*x)))/(b^4*e^2 - a^2*b^2*e^2) - (C*a^2*b*e*log(4*A^2*b^3 + 4*B^2*a^2*b - 8*A*B*a*b^2 + 8*B^2*a^3*exp(e*x)*exp(d) + 4*A^2*b^3*exp(2*d)*exp(2*e*x) + 8*A^2*a*b^2*exp(e*x)*exp(d) + 4*B^2*a^2*b*exp(2*d)*exp(2*e*x) - 16*A*B*a^2*b*exp(e*x)*exp(d) - 8*A*B*a*b^2*exp(2*d)*exp(2*e*x)))/(b^4*e^2 - a^2*b^2*e^2)","B"
207,1,301,121,1.587976,"\text{Not used}","int((A + B*cosh(d + e*x) + C*sinh(d + e*x))/(a + b*cosh(d + e*x))^2,x)","\frac{\frac{2\,\left(A\,b^3-B\,a\,b^2\right)}{b\,e\,\left(a^2\,b-b^3\right)}+\frac{2\,{\mathrm{e}}^{d+e\,x}\,\left(C\,b^4-B\,a^2\,b^2-C\,a^2\,b^2+A\,a\,b^3\right)}{b^2\,e\,\left(a^2\,b-b^3\right)}}{b+2\,a\,{\mathrm{e}}^{d+e\,x}+b\,{\mathrm{e}}^{2\,d+2\,e\,x}}+\frac{\ln\left(-\frac{2\,{\mathrm{e}}^{d+e\,x}\,\left(A\,a-B\,b\right)}{b\,\left(a^2-b^2\right)}-\frac{2\,\left(A\,a-B\,b\right)\,\left(b+a\,{\mathrm{e}}^{d+e\,x}\right)}{b\,{\left(a+b\right)}^{3/2}\,{\left(a-b\right)}^{3/2}}\right)\,\left(A\,a-B\,b\right)}{e\,{\left(a+b\right)}^{3/2}\,{\left(a-b\right)}^{3/2}}-\frac{\ln\left(\frac{2\,\left(A\,a-B\,b\right)\,\left(b+a\,{\mathrm{e}}^{d+e\,x}\right)}{b\,{\left(a+b\right)}^{3/2}\,{\left(a-b\right)}^{3/2}}-\frac{2\,{\mathrm{e}}^{d+e\,x}\,\left(A\,a-B\,b\right)}{b\,\left(a^2-b^2\right)}\right)\,\left(A\,a-B\,b\right)}{e\,{\left(a+b\right)}^{3/2}\,{\left(a-b\right)}^{3/2}}","Not used",1,"((2*(A*b^3 - B*a*b^2))/(b*e*(a^2*b - b^3)) + (2*exp(d + e*x)*(C*b^4 - B*a^2*b^2 - C*a^2*b^2 + A*a*b^3))/(b^2*e*(a^2*b - b^3)))/(b + 2*a*exp(d + e*x) + b*exp(2*d + 2*e*x)) + (log(- (2*exp(d + e*x)*(A*a - B*b))/(b*(a^2 - b^2)) - (2*(A*a - B*b)*(b + a*exp(d + e*x)))/(b*(a + b)^(3/2)*(a - b)^(3/2)))*(A*a - B*b))/(e*(a + b)^(3/2)*(a - b)^(3/2)) - (log((2*(A*a - B*b)*(b + a*exp(d + e*x)))/(b*(a + b)^(3/2)*(a - b)^(3/2)) - (2*exp(d + e*x)*(A*a - B*b))/(b*(a^2 - b^2)))*(A*a - B*b))/(e*(a + b)^(3/2)*(a - b)^(3/2))","B"
208,0,-1,187,0.000000,"\text{Not used}","int((A + B*cosh(d + e*x) + C*sinh(d + e*x))/(a + b*cosh(d + e*x))^3,x)","\int \frac{A+B\,\mathrm{cosh}\left(d+e\,x\right)+C\,\mathrm{sinh}\left(d+e\,x\right)}{{\left(a+b\,\mathrm{cosh}\left(d+e\,x\right)\right)}^3} \,d x","Not used",1,"int((A + B*cosh(d + e*x) + C*sinh(d + e*x))/(a + b*cosh(d + e*x))^3, x)","F"
209,0,-1,260,0.000000,"\text{Not used}","int((A + B*cosh(d + e*x) + C*sinh(d + e*x))/(a + b*cosh(d + e*x))^4,x)","\int \frac{A+B\,\mathrm{cosh}\left(d+e\,x\right)+C\,\mathrm{sinh}\left(d+e\,x\right)}{{\left(a+b\,\mathrm{cosh}\left(d+e\,x\right)\right)}^4} \,d x","Not used",1,"int((A + B*cosh(d + e*x) + C*sinh(d + e*x))/(a + b*cosh(d + e*x))^4, x)","F"
210,0,-1,191,0.000000,"\text{Not used}","int(x/(a + b*cosh(x)^2),x)","\int \frac{x}{b\,{\mathrm{cosh}\left(x\right)}^2+a} \,d x","Not used",1,"int(x/(a + b*cosh(x)^2), x)","F"
211,0,-1,291,0.000000,"\text{Not used}","int(x^2/(a + b*cosh(x)^2),x)","\int \frac{x^2}{b\,{\mathrm{cosh}\left(x\right)}^2+a} \,d x","Not used",1,"int(x^2/(a + b*cosh(x)^2), x)","F"
212,0,-1,391,0.000000,"\text{Not used}","int(x^3/(a + b*cosh(x)^2),x)","\int \frac{x^3}{b\,{\mathrm{cosh}\left(x\right)}^2+a} \,d x","Not used",1,"int(x^3/(a + b*cosh(x)^2), x)","F"
213,0,-1,58,0.000000,"\text{Not used}","int(-cosh((1 - a*x)^(1/2)/(a*x + 1)^(1/2))^3/(a^2*x^2 - 1),x)","-\int \frac{{\mathrm{cosh}\left(\frac{\sqrt{1-a\,x}}{\sqrt{a\,x+1}}\right)}^3}{a^2\,x^2-1} \,d x","Not used",1,"-int(cosh((1 - a*x)^(1/2)/(a*x + 1)^(1/2))^3/(a^2*x^2 - 1), x)","F"
214,0,-1,58,0.000000,"\text{Not used}","int(-cosh((1 - a*x)^(1/2)/(a*x + 1)^(1/2))^2/(a^2*x^2 - 1),x)","-\int \frac{{\mathrm{cosh}\left(\frac{\sqrt{1-a\,x}}{\sqrt{a\,x+1}}\right)}^2}{a^2\,x^2-1} \,d x","Not used",1,"-int(cosh((1 - a*x)^(1/2)/(a*x + 1)^(1/2))^2/(a^2*x^2 - 1), x)","F"
215,0,-1,26,0.000000,"\text{Not used}","int(-cosh((1 - a*x)^(1/2)/(a*x + 1)^(1/2))/(a^2*x^2 - 1),x)","-\int \frac{\mathrm{cosh}\left(\frac{\sqrt{1-a\,x}}{\sqrt{a\,x+1}}\right)}{a^2\,x^2-1} \,d x","Not used",1,"-int(cosh((1 - a*x)^(1/2)/(a*x + 1)^(1/2))/(a^2*x^2 - 1), x)","F"
216,0,-1,40,0.000000,"\text{Not used}","int(-1/(cosh((1 - a*x)^(1/2)/(a*x + 1)^(1/2))*(a^2*x^2 - 1)),x)","-\int \frac{1}{\mathrm{cosh}\left(\frac{\sqrt{1-a\,x}}{\sqrt{a\,x+1}}\right)\,\left(a^2\,x^2-1\right)} \,d x","Not used",0,"-int(1/(cosh((1 - a*x)^(1/2)/(a*x + 1)^(1/2))*(a^2*x^2 - 1)), x)","F"
217,0,-1,42,0.000000,"\text{Not used}","int(-1/(cosh((1 - a*x)^(1/2)/(a*x + 1)^(1/2))^2*(a^2*x^2 - 1)),x)","-\int \frac{1}{{\mathrm{cosh}\left(\frac{\sqrt{1-a\,x}}{\sqrt{a\,x+1}}\right)}^2\,\left(a^2\,x^2-1\right)} \,d x","Not used",0,"-int(1/(cosh((1 - a*x)^(1/2)/(a*x + 1)^(1/2))^2*(a^2*x^2 - 1)), x)","F"
218,1,110,60,1.090551,"\text{Not used}","int((x*sinh(x))/(a + b*cosh(x))^2,x)","\frac{2\,\mathrm{atan}\left(\frac{{\mathrm{e}}^x\,\left(b^4-a^2\,b^2\right)+a\,b^3+a^2\,b^2\,{\mathrm{e}}^x}{b^2\,\sqrt{b^4-a^2\,b^2}}\right)}{\sqrt{b^4-a^2\,b^2}}-\frac{2\,{\mathrm{e}}^x\,\left(a^2\,x-b^2\,x\right)}{\left(a^2\,b-b^3\right)\,\left(b+2\,a\,{\mathrm{e}}^x+b\,{\mathrm{e}}^{2\,x}\right)}","Not used",1,"(2*atan((exp(x)*(b^4 - a^2*b^2) + a*b^3 + a^2*b^2*exp(x))/(b^2*(b^4 - a^2*b^2)^(1/2))))/(b^4 - a^2*b^2)^(1/2) - (2*exp(x)*(a^2*x - b^2*x))/((a^2*b - b^3)*(b + 2*a*exp(x) + b*exp(2*x)))","B"
219,0,-1,87,0.000000,"\text{Not used}","int((x*sinh(x))/(a + b*cosh(x))^3,x)","\int \frac{x\,\mathrm{sinh}\left(x\right)}{{\left(a+b\,\mathrm{cosh}\left(x\right)\right)}^3} \,d x","Not used",1,"int((x*sinh(x))/(a + b*cosh(x))^3, x)","F"
220,0,-1,47,0.000000,"\text{Not used}","int((sinh(a + b*x)*(cosh(a + b*x)^2 + 2))/x,x)","\int \frac{\mathrm{sinh}\left(a+b\,x\right)\,\left({\mathrm{cosh}\left(a+b\,x\right)}^2+2\right)}{x} \,d x","Not used",1,"int((sinh(a + b*x)*(cosh(a + b*x)^2 + 2))/x, x)","F"
221,0,-1,25,0.000000,"\text{Not used}","int((x^m*sinh(c + d*x))/(a + b*cosh(c + d*x)),x)","\int \frac{x^m\,\mathrm{sinh}\left(c+d\,x\right)}{a+b\,\mathrm{cosh}\left(c+d\,x\right)} \,d x","Not used",0,"int((x^m*sinh(c + d*x))/(a + b*cosh(c + d*x)), x)","F"
222,0,-1,327,0.000000,"\text{Not used}","int((x^3*sinh(c + d*x))/(a + b*cosh(c + d*x)),x)","\int \frac{x^3\,\mathrm{sinh}\left(c+d\,x\right)}{a+b\,\mathrm{cosh}\left(c+d\,x\right)} \,d x","Not used",1,"int((x^3*sinh(c + d*x))/(a + b*cosh(c + d*x)), x)","F"
223,0,-1,245,0.000000,"\text{Not used}","int((x^2*sinh(c + d*x))/(a + b*cosh(c + d*x)),x)","\int \frac{x^2\,\mathrm{sinh}\left(c+d\,x\right)}{a+b\,\mathrm{cosh}\left(c+d\,x\right)} \,d x","Not used",1,"int((x^2*sinh(c + d*x))/(a + b*cosh(c + d*x)), x)","F"
224,0,-1,161,0.000000,"\text{Not used}","int((x*sinh(c + d*x))/(a + b*cosh(c + d*x)),x)","\int \frac{x\,\mathrm{sinh}\left(c+d\,x\right)}{a+b\,\mathrm{cosh}\left(c+d\,x\right)} \,d x","Not used",1,"int((x*sinh(c + d*x))/(a + b*cosh(c + d*x)), x)","F"
225,1,18,18,0.071940,"\text{Not used}","int(sinh(c + d*x)/(a + b*cosh(c + d*x)),x)","\frac{\ln\left(a+b\,\mathrm{cosh}\left(c+d\,x\right)\right)}{b\,d}","Not used",1,"log(a + b*cosh(c + d*x))/(b*d)","B"
226,0,-1,25,0.000000,"\text{Not used}","int(sinh(c + d*x)/(x*(a + b*cosh(c + d*x))),x)","\int \frac{\mathrm{sinh}\left(c+d\,x\right)}{x\,\left(a+b\,\mathrm{cosh}\left(c+d\,x\right)\right)} \,d x","Not used",0,"int(sinh(c + d*x)/(x*(a + b*cosh(c + d*x))), x)","F"
227,0,-1,27,0.000000,"\text{Not used}","int((x^m*sinh(c + d*x)^2)/(a + b*cosh(c + d*x)),x)","\int \frac{x^m\,{\mathrm{sinh}\left(c+d\,x\right)}^2}{a+b\,\mathrm{cosh}\left(c+d\,x\right)} \,d x","Not used",0,"int((x^m*sinh(c + d*x)^2)/(a + b*cosh(c + d*x)), x)","F"
228,0,-1,495,0.000000,"\text{Not used}","int((x^3*sinh(c + d*x)^2)/(a + b*cosh(c + d*x)),x)","\int \frac{x^3\,{\mathrm{sinh}\left(c+d\,x\right)}^2}{a+b\,\mathrm{cosh}\left(c+d\,x\right)} \,d x","Not used",1,"int((x^3*sinh(c + d*x)^2)/(a + b*cosh(c + d*x)), x)","F"
229,0,-1,370,0.000000,"\text{Not used}","int((x^2*sinh(c + d*x)^2)/(a + b*cosh(c + d*x)),x)","\int \frac{x^2\,{\mathrm{sinh}\left(c+d\,x\right)}^2}{a+b\,\mathrm{cosh}\left(c+d\,x\right)} \,d x","Not used",1,"int((x^2*sinh(c + d*x)^2)/(a + b*cosh(c + d*x)), x)","F"
230,0,-1,244,0.000000,"\text{Not used}","int((x*sinh(c + d*x)^2)/(a + b*cosh(c + d*x)),x)","\int \frac{x\,{\mathrm{sinh}\left(c+d\,x\right)}^2}{a+b\,\mathrm{cosh}\left(c+d\,x\right)} \,d x","Not used",1,"int((x*sinh(c + d*x)^2)/(a + b*cosh(c + d*x)), x)","F"
231,1,176,73,1.115167,"\text{Not used}","int(sinh(c + d*x)^2/(a + b*cosh(c + d*x)),x)","\frac{{\mathrm{e}}^{c+d\,x}}{2\,b\,d}-\frac{{\mathrm{e}}^{-c-d\,x}}{2\,b\,d}-\frac{a\,x}{b^2}+\frac{\ln\left(-\frac{2\,{\mathrm{e}}^{c+d\,x}\,\left(a^2-b^2\right)}{b^3}-\frac{2\,\sqrt{a+b}\,\sqrt{a-b}\,\left(b+a\,{\mathrm{e}}^{c+d\,x}\right)}{b^3}\right)\,\sqrt{a+b}\,\sqrt{a-b}}{b^2\,d}-\frac{\ln\left(\frac{2\,\sqrt{a+b}\,\sqrt{a-b}\,\left(b+a\,{\mathrm{e}}^{c+d\,x}\right)}{b^3}-\frac{2\,{\mathrm{e}}^{c+d\,x}\,\left(a^2-b^2\right)}{b^3}\right)\,\sqrt{a+b}\,\sqrt{a-b}}{b^2\,d}","Not used",1,"exp(c + d*x)/(2*b*d) - exp(- c - d*x)/(2*b*d) - (a*x)/b^2 + (log(- (2*exp(c + d*x)*(a^2 - b^2))/b^3 - (2*(a + b)^(1/2)*(a - b)^(1/2)*(b + a*exp(c + d*x)))/b^3)*(a + b)^(1/2)*(a - b)^(1/2))/(b^2*d) - (log((2*(a + b)^(1/2)*(a - b)^(1/2)*(b + a*exp(c + d*x)))/b^3 - (2*exp(c + d*x)*(a^2 - b^2))/b^3)*(a + b)^(1/2)*(a - b)^(1/2))/(b^2*d)","B"
232,0,-1,27,0.000000,"\text{Not used}","int(sinh(c + d*x)^2/(x*(a + b*cosh(c + d*x))),x)","\int \frac{{\mathrm{sinh}\left(c+d\,x\right)}^2}{x\,\left(a+b\,\mathrm{cosh}\left(c+d\,x\right)\right)} \,d x","Not used",0,"int(sinh(c + d*x)^2/(x*(a + b*cosh(c + d*x))), x)","F"
233,0,-1,27,0.000000,"\text{Not used}","int((x^m*sinh(c + d*x)^3)/(a + b*cosh(c + d*x)),x)","\int \frac{x^m\,{\mathrm{sinh}\left(c+d\,x\right)}^3}{a+b\,\mathrm{cosh}\left(c+d\,x\right)} \,d x","Not used",0,"int((x^m*sinh(c + d*x)^3)/(a + b*cosh(c + d*x)), x)","F"
234,0,-1,586,0.000000,"\text{Not used}","int((x^3*sinh(c + d*x)^3)/(a + b*cosh(c + d*x)),x)","\int \frac{x^3\,{\mathrm{sinh}\left(c+d\,x\right)}^3}{a+b\,\mathrm{cosh}\left(c+d\,x\right)} \,d x","Not used",1,"int((x^3*sinh(c + d*x)^3)/(a + b*cosh(c + d*x)), x)","F"
235,0,-1,432,0.000000,"\text{Not used}","int((x^2*sinh(c + d*x)^3)/(a + b*cosh(c + d*x)),x)","\int \frac{x^2\,{\mathrm{sinh}\left(c+d\,x\right)}^3}{a+b\,\mathrm{cosh}\left(c+d\,x\right)} \,d x","Not used",1,"int((x^2*sinh(c + d*x)^3)/(a + b*cosh(c + d*x)), x)","F"
236,0,-1,288,0.000000,"\text{Not used}","int((x*sinh(c + d*x)^3)/(a + b*cosh(c + d*x)),x)","\int \frac{x\,{\mathrm{sinh}\left(c+d\,x\right)}^3}{a+b\,\mathrm{cosh}\left(c+d\,x\right)} \,d x","Not used",1,"int((x*sinh(c + d*x)^3)/(a + b*cosh(c + d*x)), x)","F"
237,1,122,61,1.064835,"\text{Not used}","int(sinh(c + d*x)^3/(a + b*cosh(c + d*x)),x)","\frac{{\mathrm{e}}^{-2\,c-2\,d\,x}}{8\,b\,d}+\frac{{\mathrm{e}}^{2\,c+2\,d\,x}}{8\,b\,d}-\frac{x\,\left(a^2-b^2\right)}{b^3}+\frac{\ln\left(b+2\,a\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c+b\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\right)\,\left(a^2-b^2\right)}{b^3\,d}-\frac{a\,{\mathrm{e}}^{-c-d\,x}}{2\,b^2\,d}-\frac{a\,{\mathrm{e}}^{c+d\,x}}{2\,b^2\,d}","Not used",1,"exp(- 2*c - 2*d*x)/(8*b*d) + exp(2*c + 2*d*x)/(8*b*d) - (x*(a^2 - b^2))/b^3 + (log(b + 2*a*exp(d*x)*exp(c) + b*exp(2*c)*exp(2*d*x))*(a^2 - b^2))/(b^3*d) - (a*exp(- c - d*x))/(2*b^2*d) - (a*exp(c + d*x))/(2*b^2*d)","B"
238,0,-1,27,0.000000,"\text{Not used}","int(sinh(c + d*x)^3/(x*(a + b*cosh(c + d*x))),x)","\int \frac{{\mathrm{sinh}\left(c+d\,x\right)}^3}{x\,\left(a+b\,\mathrm{cosh}\left(c+d\,x\right)\right)} \,d x","Not used",0,"int(sinh(c + d*x)^3/(x*(a + b*cosh(c + d*x))), x)","F"
239,1,44,54,0.995443,"\text{Not used}","int(cosh(a + b*log(c*x^n)),x)","\frac{x\,{\mathrm{e}}^a\,{\left(c\,x^n\right)}^b}{2\,b\,n+2}-\frac{x\,{\mathrm{e}}^{-a}}{{\left(c\,x^n\right)}^b\,\left(2\,b\,n-2\right)}","Not used",1,"(x*exp(a)*(c*x^n)^b)/(2*b*n + 2) - (x*exp(-a))/((c*x^n)^b*(2*b*n - 2))","B"
240,1,53,88,1.005515,"\text{Not used}","int(cosh(a + b*log(c*x^n))^2,x)","\frac{x}{2}-\frac{x\,{\mathrm{e}}^{-2\,a}}{{\left(c\,x^n\right)}^{2\,b}\,\left(8\,b\,n-4\right)}+\frac{x\,{\mathrm{e}}^{2\,a}\,{\left(c\,x^n\right)}^{2\,b}}{8\,b\,n+4}","Not used",1,"x/2 - (x*exp(-2*a))/((c*x^n)^(2*b)*(8*b*n - 4)) + (x*exp(2*a)*(c*x^n)^(2*b))/(8*b*n + 4)","B"
241,1,94,149,1.047255,"\text{Not used}","int(cosh(a + b*log(c*x^n))^3,x)","\frac{x\,{\mathrm{e}}^{3\,a}\,{\left(c\,x^n\right)}^{3\,b}}{24\,b\,n+8}-\frac{x\,{\mathrm{e}}^{-3\,a}}{{\left(c\,x^n\right)}^{3\,b}\,\left(24\,b\,n-8\right)}-\frac{3\,x\,{\mathrm{e}}^{-a}}{{\left(c\,x^n\right)}^b\,\left(8\,b\,n-8\right)}+\frac{3\,x\,{\mathrm{e}}^a\,{\left(c\,x^n\right)}^b}{8\,b\,n+8}","Not used",1,"(x*exp(3*a)*(c*x^n)^(3*b))/(24*b*n + 8) - (x*exp(-3*a))/((c*x^n)^(3*b)*(24*b*n - 8)) - (3*x*exp(-a))/((c*x^n)^b*(8*b*n - 8)) + (3*x*exp(a)*(c*x^n)^b)/(8*b*n + 8)","B"
242,1,102,191,1.037641,"\text{Not used}","int(cosh(a + b*log(c*x^n))^4,x)","\frac{3\,x}{8}-\frac{x\,{\mathrm{e}}^{-2\,a}}{{\left(c\,x^n\right)}^{2\,b}\,\left(8\,b\,n-4\right)}+\frac{x\,{\mathrm{e}}^{2\,a}\,{\left(c\,x^n\right)}^{2\,b}}{8\,b\,n+4}-\frac{x\,{\mathrm{e}}^{-4\,a}}{{\left(c\,x^n\right)}^{4\,b}\,\left(64\,b\,n-16\right)}+\frac{x\,{\mathrm{e}}^{4\,a}\,{\left(c\,x^n\right)}^{4\,b}}{64\,b\,n+16}","Not used",1,"(3*x)/8 - (x*exp(-2*a))/((c*x^n)^(2*b)*(8*b*n - 4)) + (x*exp(2*a)*(c*x^n)^(2*b))/(8*b*n + 4) - (x*exp(-4*a))/((c*x^n)^(4*b)*(64*b*n - 16)) + (x*exp(4*a)*(c*x^n)^(4*b))/(64*b*n + 16)","B"
243,1,55,73,1.045016,"\text{Not used}","int(x^m*cosh(a + b*log(c*x^n)),x)","\frac{x\,x^m\,{\mathrm{e}}^{-a}}{{\left(c\,x^n\right)}^b\,\left(2\,m-2\,b\,n+2\right)}+\frac{x\,x^m\,{\mathrm{e}}^a\,{\left(c\,x^n\right)}^b}{2\,m+2\,b\,n+2}","Not used",1,"(x*x^m*exp(-a))/((c*x^n)^b*(2*m - 2*b*n + 2)) + (x*x^m*exp(a)*(c*x^n)^b)/(2*m + 2*b*n + 2)","B"
244,1,73,120,1.088132,"\text{Not used}","int(x^m*cosh(a + b*log(c*x^n))^2,x)","\frac{x\,x^m}{2\,m+2}+\frac{x\,x^m\,{\mathrm{e}}^{-2\,a}}{{\left(c\,x^n\right)}^{2\,b}\,\left(4\,m-8\,b\,n+4\right)}+\frac{x\,x^m\,{\mathrm{e}}^{2\,a}\,{\left(c\,x^n\right)}^{2\,b}}{4\,m+8\,b\,n+4}","Not used",1,"(x*x^m)/(2*m + 2) + (x*x^m*exp(-2*a))/((c*x^n)^(2*b)*(4*m - 8*b*n + 4)) + (x*x^m*exp(2*a)*(c*x^n)^(2*b))/(4*m + 8*b*n + 4)","B"
245,1,117,203,1.181507,"\text{Not used}","int(x^m*cosh(a + b*log(c*x^n))^3,x)","\frac{3\,x\,x^m\,{\mathrm{e}}^{-a}}{{\left(c\,x^n\right)}^b\,\left(8\,m-8\,b\,n+8\right)}+\frac{x\,x^m\,{\mathrm{e}}^{-3\,a}}{{\left(c\,x^n\right)}^{3\,b}\,\left(8\,m-24\,b\,n+8\right)}+\frac{x\,x^m\,{\mathrm{e}}^{3\,a}\,{\left(c\,x^n\right)}^{3\,b}}{8\,m+24\,b\,n+8}+\frac{3\,x\,x^m\,{\mathrm{e}}^a\,{\left(c\,x^n\right)}^b}{8\,m+8\,b\,n+8}","Not used",1,"(3*x*x^m*exp(-a))/((c*x^n)^b*(8*m - 8*b*n + 8)) + (x*x^m*exp(-3*a))/((c*x^n)^(3*b)*(8*m - 24*b*n + 8)) + (x*x^m*exp(3*a)*(c*x^n)^(3*b))/(8*m + 24*b*n + 8) + (3*x*x^m*exp(a)*(c*x^n)^b)/(8*m + 8*b*n + 8)","B"
246,1,134,266,1.194638,"\text{Not used}","int(x^m*cosh(a + b*log(c*x^n))^4,x)","\frac{3\,x\,x^m}{8\,m+8}+\frac{x\,x^m\,{\mathrm{e}}^{-2\,a}}{{\left(c\,x^n\right)}^{2\,b}\,\left(4\,m-8\,b\,n+4\right)}+\frac{x\,x^m\,{\mathrm{e}}^{2\,a}\,{\left(c\,x^n\right)}^{2\,b}}{4\,m+8\,b\,n+4}+\frac{x\,x^m\,{\mathrm{e}}^{-4\,a}}{{\left(c\,x^n\right)}^{4\,b}\,\left(16\,m-64\,b\,n+16\right)}+\frac{x\,x^m\,{\mathrm{e}}^{4\,a}\,{\left(c\,x^n\right)}^{4\,b}}{16\,m+64\,b\,n+16}","Not used",1,"(3*x*x^m)/(8*m + 8) + (x*x^m*exp(-2*a))/((c*x^n)^(2*b)*(4*m - 8*b*n + 4)) + (x*x^m*exp(2*a)*(c*x^n)^(2*b))/(4*m + 8*b*n + 4) + (x*x^m*exp(-4*a))/((c*x^n)^(4*b)*(16*m - 64*b*n + 16)) + (x*x^m*exp(4*a)*(c*x^n)^(4*b))/(16*m + 64*b*n + 16)","B"
247,1,18,18,1.027099,"\text{Not used}","int(cosh(a + b*log(c*x^n))/x,x)","\frac{\mathrm{sinh}\left(a+b\,\ln\left(c\,x^n\right)\right)}{b\,n}","Not used",1,"sinh(a + b*log(c*x^n))/(b*n)","B"
248,1,32,39,1.046299,"\text{Not used}","int(cosh(a + b*log(c*x^n))^2/x,x)","\frac{\ln\left(x^n\right)}{2\,n}+\frac{\mathrm{sinh}\left(2\,a+2\,b\,\ln\left(c\,x^n\right)\right)}{4\,b\,n}","Not used",1,"log(x^n)/(2*n) + sinh(2*a + 2*b*log(c*x^n))/(4*b*n)","B"
249,1,35,42,1.048582,"\text{Not used}","int(cosh(a + b*log(c*x^n))^3/x,x)","\frac{{\mathrm{sinh}\left(a+b\,\ln\left(c\,x^n\right)\right)}^3+3\,\mathrm{sinh}\left(a+b\,\ln\left(c\,x^n\right)\right)}{3\,b\,n}","Not used",1,"(3*sinh(a + b*log(c*x^n)) + sinh(a + b*log(c*x^n))^3)/(3*b*n)","B"
250,1,50,73,1.107219,"\text{Not used}","int(cosh(a + b*log(c*x^n))^4/x,x)","\frac{3\,\ln\left(x^n\right)}{8\,n}+\frac{\frac{\mathrm{sinh}\left(2\,a+2\,b\,\ln\left(c\,x^n\right)\right)}{4}+\frac{\mathrm{sinh}\left(4\,a+4\,b\,\ln\left(c\,x^n\right)\right)}{32}}{b\,n}","Not used",1,"(3*log(x^n))/(8*n) + (sinh(2*a + 2*b*log(c*x^n))/4 + sinh(4*a + 4*b*log(c*x^n))/32)/(b*n)","B"
251,1,49,65,1.165371,"\text{Not used}","int(cosh(a + b*log(c*x^n))^5/x,x)","\frac{\frac{{\mathrm{sinh}\left(a+b\,\ln\left(c\,x^n\right)\right)}^5}{5}+\frac{2\,{\mathrm{sinh}\left(a+b\,\ln\left(c\,x^n\right)\right)}^3}{3}+\mathrm{sinh}\left(a+b\,\ln\left(c\,x^n\right)\right)}{b\,n}","Not used",1,"(sinh(a + b*log(c*x^n)) + (2*sinh(a + b*log(c*x^n))^3)/3 + sinh(a + b*log(c*x^n))^5/5)/(b*n)","B"
252,0,-1,67,0.000000,"\text{Not used}","int(cosh(a + b*log(c*x^n))^(5/2)/x,x)","\int \frac{{\mathrm{cosh}\left(a+b\,\ln\left(c\,x^n\right)\right)}^{5/2}}{x} \,d x","Not used",1,"int(cosh(a + b*log(c*x^n))^(5/2)/x, x)","F"
253,0,-1,67,0.000000,"\text{Not used}","int(cosh(a + b*log(c*x^n))^(3/2)/x,x)","\int \frac{{\mathrm{cosh}\left(a+b\,\ln\left(c\,x^n\right)\right)}^{3/2}}{x} \,d x","Not used",1,"int(cosh(a + b*log(c*x^n))^(3/2)/x, x)","F"
254,0,-1,28,0.000000,"\text{Not used}","int(cosh(a + b*log(c*x^n))^(1/2)/x,x)","\int \frac{\sqrt{\mathrm{cosh}\left(a+b\,\ln\left(c\,x^n\right)\right)}}{x} \,d x","Not used",1,"int(cosh(a + b*log(c*x^n))^(1/2)/x, x)","F"
255,0,-1,28,0.000000,"\text{Not used}","int(1/(x*cosh(a + b*log(c*x^n))^(1/2)),x)","\int \frac{1}{x\,\sqrt{\mathrm{cosh}\left(a+b\,\ln\left(c\,x^n\right)\right)}} \,d x","Not used",1,"int(1/(x*cosh(a + b*log(c*x^n))^(1/2)), x)","F"
256,0,-1,63,0.000000,"\text{Not used}","int(1/(x*cosh(a + b*log(c*x^n))^(3/2)),x)","\int \frac{1}{x\,{\mathrm{cosh}\left(a+b\,\ln\left(c\,x^n\right)\right)}^{3/2}} \,d x","Not used",1,"int(1/(x*cosh(a + b*log(c*x^n))^(3/2)), x)","F"
257,0,-1,67,0.000000,"\text{Not used}","int(1/(x*cosh(a + b*log(c*x^n))^(5/2)),x)","\int \frac{1}{x\,{\mathrm{cosh}\left(a+b\,\ln\left(c\,x^n\right)\right)}^{5/2}} \,d x","Not used",1,"int(1/(x*cosh(a + b*log(c*x^n))^(5/2)), x)","F"
258,0,-1,206,0.000000,"\text{Not used}","int(cosh(a + (2*log(c*x^n))/n)^(5/2),x)","\int {\mathrm{cosh}\left(a+\frac{2\,\ln\left(c\,x^n\right)}{n}\right)}^{5/2} \,d x","Not used",1,"int(cosh(a + (2*log(c*x^n))/n)^(5/2), x)","F"
259,0,-1,102,0.000000,"\text{Not used}","int(cosh(a + (2*log(c*x^n))/n)^(1/2),x)","\int \sqrt{\mathrm{cosh}\left(a+\frac{2\,\ln\left(c\,x^n\right)}{n}\right)} \,d x","Not used",1,"int(cosh(a + (2*log(c*x^n))/n)^(1/2), x)","F"
260,0,-1,42,0.000000,"\text{Not used}","int(1/cosh(a + (2*log(c*x^n))/n)^(3/2),x)","\int \frac{1}{{\mathrm{cosh}\left(a+\frac{2\,\ln\left(c\,x^n\right)}{n}\right)}^{3/2}} \,d x","Not used",1,"int(1/cosh(a + (2*log(c*x^n))/n)^(3/2), x)","F"
261,0,-1,101,0.000000,"\text{Not used}","int(1/cosh(a + (2*log(c*x^n))/n)^(7/2),x)","\int \frac{1}{{\mathrm{cosh}\left(a+\frac{2\,\ln\left(c\,x^n\right)}{n}\right)}^{7/2}} \,d x","Not used",1,"int(1/cosh(a + (2*log(c*x^n))/n)^(7/2), x)","F"
262,0,-1,101,0.000000,"\text{Not used}","int(cosh((a + b*x)/(c + d*x)),x)","\int \mathrm{cosh}\left(\frac{a+b\,x}{c+d\,x}\right) \,d x","Not used",1,"int(cosh((a + b*x)/(c + d*x)), x)","F"
263,0,-1,107,0.000000,"\text{Not used}","int(cosh((a + b*x)/(c + d*x))^2,x)","\int {\mathrm{cosh}\left(\frac{a+b\,x}{c+d\,x}\right)}^2 \,d x","Not used",1,"int(cosh((a + b*x)/(c + d*x))^2, x)","F"
264,1,58,83,0.501698,"\text{Not used}","int(cosh(a + b*x)^4*exp(a + b*x),x)","\frac{90\,{\mathrm{e}}^{a+b\,x}-60\,{\mathrm{e}}^{-a-b\,x}-5\,{\mathrm{e}}^{-3\,a-3\,b\,x}+20\,{\mathrm{e}}^{3\,a+3\,b\,x}+3\,{\mathrm{e}}^{5\,a+5\,b\,x}}{240\,b}","Not used",1,"(90*exp(a + b*x) - 60*exp(- a - b*x) - 5*exp(- 3*a - 3*b*x) + 20*exp(3*a + 3*b*x) + 3*exp(5*a + 5*b*x))/(240*b)","B"
265,1,42,57,0.261634,"\text{Not used}","int(cosh(a + b*x)^3*exp(a + b*x),x)","\frac{3\,x}{8}+\frac{\frac{3\,{\mathrm{e}}^{2\,a+2\,b\,x}}{16}-\frac{{\mathrm{e}}^{-2\,a-2\,b\,x}}{16}+\frac{{\mathrm{e}}^{4\,a+4\,b\,x}}{32}}{b}","Not used",1,"(3*x)/8 + ((3*exp(2*a + 2*b*x))/16 - exp(- 2*a - 2*b*x)/16 + exp(4*a + 4*b*x)/32)/b","B"
266,1,34,49,0.965195,"\text{Not used}","int(cosh(a + b*x)^2*exp(a + b*x),x)","\frac{6\,{\mathrm{e}}^{a+b\,x}-3\,{\mathrm{e}}^{-a-b\,x}+{\mathrm{e}}^{3\,a+3\,b\,x}}{12\,b}","Not used",1,"(6*exp(a + b*x) - 3*exp(- a - b*x) + exp(3*a + 3*b*x))/(12*b)","B"
267,1,18,23,0.921200,"\text{Not used}","int(cosh(a + b*x)*exp(a + b*x),x)","\frac{x}{2}+\frac{{\mathrm{e}}^{2\,a+2\,b\,x}}{4\,b}","Not used",1,"x/2 + exp(2*a + 2*b*x)/(4*b)","B"
268,1,16,17,0.921557,"\text{Not used}","int(exp(a + b*x)/cosh(a + b*x),x)","\frac{\ln\left({\mathrm{e}}^{2\,a+2\,b\,x}+1\right)}{b}","Not used",1,"log(exp(2*a + 2*b*x) + 1)/b","B"
269,1,48,40,0.079436,"\text{Not used}","int(exp(a + b*x)/cosh(a + b*x)^2,x)","\frac{2\,\mathrm{atan}\left(\frac{{\mathrm{e}}^{b\,x}\,{\mathrm{e}}^a\,\sqrt{b^2}}{b}\right)}{\sqrt{b^2}}-\frac{2\,{\mathrm{e}}^{a+b\,x}}{b\,\left({\mathrm{e}}^{2\,a+2\,b\,x}+1\right)}","Not used",1,"(2*atan((exp(b*x)*exp(a)*(b^2)^(1/2))/b))/(b^2)^(1/2) - (2*exp(a + b*x))/(b*(exp(2*a + 2*b*x) + 1))","B"
270,1,31,29,0.927215,"\text{Not used}","int(exp(a + b*x)/cosh(a + b*x)^3,x)","-\frac{2\,\left(2\,{\mathrm{e}}^{2\,a+2\,b\,x}+1\right)}{b\,{\left({\mathrm{e}}^{2\,a+2\,b\,x}+1\right)}^2}","Not used",1,"-(2*(2*exp(2*a + 2*b*x) + 1))/(b*(exp(2*a + 2*b*x) + 1)^2)","B"
271,1,130,95,0.956344,"\text{Not used}","int(exp(a + b*x)/cosh(a + b*x)^4,x)","\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^{b\,x}\,{\mathrm{e}}^a\,\sqrt{b^2}}{b}\right)}{\sqrt{b^2}}-\frac{2\,{\mathrm{e}}^{a+b\,x}}{b\,\left(2\,{\mathrm{e}}^{2\,a+2\,b\,x}+{\mathrm{e}}^{4\,a+4\,b\,x}+1\right)}-\frac{8\,{\mathrm{e}}^{3\,a+3\,b\,x}}{3\,b\,\left(3\,{\mathrm{e}}^{2\,a+2\,b\,x}+3\,{\mathrm{e}}^{4\,a+4\,b\,x}+{\mathrm{e}}^{6\,a+6\,b\,x}+1\right)}+\frac{{\mathrm{e}}^{a+b\,x}}{b\,\left({\mathrm{e}}^{2\,a+2\,b\,x}+1\right)}","Not used",1,"atan((exp(b*x)*exp(a)*(b^2)^(1/2))/b)/(b^2)^(1/2) - (2*exp(a + b*x))/(b*(2*exp(2*a + 2*b*x) + exp(4*a + 4*b*x) + 1)) - (8*exp(3*a + 3*b*x))/(3*b*(3*exp(2*a + 2*b*x) + 3*exp(4*a + 4*b*x) + exp(6*a + 6*b*x) + 1)) + exp(a + b*x)/(b*(exp(2*a + 2*b*x) + 1))","B"
272,1,42,60,0.954841,"\text{Not used}","int(exp(a + b*x)/cosh(a + b*x)^5,x)","-\frac{4\,\left(4\,{\mathrm{e}}^{2\,a+2\,b\,x}+6\,{\mathrm{e}}^{4\,a+4\,b\,x}+1\right)}{3\,b\,{\left({\mathrm{e}}^{2\,a+2\,b\,x}+1\right)}^4}","Not used",1,"-(4*(4*exp(2*a + 2*b*x) + 6*exp(4*a + 4*b*x) + 1))/(3*b*(exp(2*a + 2*b*x) + 1)^4)","B"
273,1,17,26,0.076018,"\text{Not used}","int(cosh(2*x)^2*exp(x),x)","\frac{{\mathrm{e}}^{5\,x}}{20}-\frac{{\mathrm{e}}^{-3\,x}}{12}+\frac{{\mathrm{e}}^x}{2}","Not used",1,"exp(5*x)/20 - exp(-3*x)/12 + exp(x)/2","B"
274,1,12,19,0.051892,"\text{Not used}","int(cosh(2*x)*exp(x),x)","\frac{{\mathrm{e}}^{-x}\,\left({\mathrm{e}}^{4\,x}-3\right)}{6}","Not used",1,"(exp(-x)*(exp(4*x) - 3))/6","B"
275,1,77,92,1.114380,"\text{Not used}","int(exp(x)/cosh(2*x),x)","\sqrt{2}\,\ln\left(4+\sqrt{2}\,{\mathrm{e}}^x\,\left(-2-2{}\mathrm{i}\right)\right)\,\left(\frac{1}{4}+\frac{1}{4}{}\mathrm{i}\right)+\sqrt{2}\,\ln\left(4+\sqrt{2}\,{\mathrm{e}}^x\,\left(-2+2{}\mathrm{i}\right)\right)\,\left(\frac{1}{4}-\frac{1}{4}{}\mathrm{i}\right)+\sqrt{2}\,\ln\left(4+\sqrt{2}\,{\mathrm{e}}^x\,\left(2-2{}\mathrm{i}\right)\right)\,\left(-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}\right)+\sqrt{2}\,\ln\left(4+\sqrt{2}\,{\mathrm{e}}^x\,\left(2+2{}\mathrm{i}\right)\right)\,\left(-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}\right)","Not used",1,"2^(1/2)*log(4 - 2^(1/2)*exp(x)*(2 + 2i))*(1/4 + 1i/4) + 2^(1/2)*log(4 - 2^(1/2)*exp(x)*(2 - 2i))*(1/4 - 1i/4) - 2^(1/2)*log(2^(1/2)*exp(x)*(2 - 2i) + 4)*(1/4 - 1i/4) - 2^(1/2)*log(2^(1/2)*exp(x)*(2 + 2i) + 4)*(1/4 + 1i/4)","B"
276,1,85,111,1.088211,"\text{Not used}","int(exp(x)/cosh(2*x)^2,x)","\frac{\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\left({\mathrm{e}}^x-\frac{\sqrt{2}}{2}\right)\right)}{4}-\frac{{\mathrm{e}}^x}{{\mathrm{e}}^{4\,x}+1}+\frac{\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\left({\mathrm{e}}^x+\frac{\sqrt{2}}{2}\right)\right)}{4}-\frac{\sqrt{2}\,\ln\left({\left({\mathrm{e}}^x-\frac{\sqrt{2}}{2}\right)}^2+\frac{1}{2}\right)}{8}+\frac{\sqrt{2}\,\ln\left({\left({\mathrm{e}}^x+\frac{\sqrt{2}}{2}\right)}^2+\frac{1}{2}\right)}{8}","Not used",1,"(2^(1/2)*atan(2^(1/2)*(exp(x) - 2^(1/2)/2)))/4 - exp(x)/(exp(4*x) + 1) + (2^(1/2)*atan(2^(1/2)*(exp(x) + 2^(1/2)/2)))/4 - (2^(1/2)*log((exp(x) - 2^(1/2)/2)^2 + 1/2))/8 + (2^(1/2)*log((exp(x) + 2^(1/2)/2)^2 + 1/2))/8","B"
277,1,17,26,0.076366,"\text{Not used}","int(cosh(3*x)^2*exp(x),x)","\frac{{\mathrm{e}}^{7\,x}}{28}-\frac{{\mathrm{e}}^{-5\,x}}{20}+\frac{{\mathrm{e}}^x}{2}","Not used",1,"exp(7*x)/28 - exp(-5*x)/20 + exp(x)/2","B"
278,1,12,19,0.926479,"\text{Not used}","int(cosh(3*x)*exp(x),x)","\frac{{\mathrm{e}}^{-2\,x}\,\left({\mathrm{e}}^{6\,x}-2\right)}{8}","Not used",1,"(exp(-2*x)*(exp(6*x) - 2))/8","B"
279,1,65,55,1.038976,"\text{Not used}","int(exp(x)/cosh(3*x),x)","-\frac{\ln\left(8\,{\mathrm{e}}^{2\,x}+8\right)}{3}-\ln\left(24\,{\mathrm{e}}^{2\,x}\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)+8\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)+\ln\left(8-24\,{\mathrm{e}}^{2\,x}\,\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)\right)\,\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)","Not used",1,"log(8 - 24*exp(2*x)*((3^(1/2)*1i)/6 + 1/6))*((3^(1/2)*1i)/6 + 1/6) - log(24*exp(2*x)*((3^(1/2)*1i)/6 - 1/6) + 8)*((3^(1/2)*1i)/6 - 1/6) - log(8*exp(2*x) + 8)/3","B"
280,1,84,110,0.308558,"\text{Not used}","int(exp(x)/cosh(3*x)^2,x)","\frac{2\,\mathrm{atan}\left({\mathrm{e}}^x\right)}{9}+\frac{\mathrm{atan}\left(2\,{\mathrm{e}}^x+\sqrt{3}\right)}{9}+\frac{\mathrm{atan}\left(2\,{\mathrm{e}}^x-\sqrt{3}\right)}{9}-\frac{2\,{\mathrm{e}}^x}{3\,\left({\mathrm{e}}^{6\,x}+1\right)}-\frac{\sqrt{3}\,\ln\left({\left(\frac{2\,{\mathrm{e}}^x}{3}-\frac{\sqrt{3}}{3}\right)}^2+\frac{1}{9}\right)}{18}+\frac{\sqrt{3}\,\ln\left({\left(\frac{2\,{\mathrm{e}}^x}{3}+\frac{\sqrt{3}}{3}\right)}^2+\frac{1}{9}\right)}{18}","Not used",1,"(2*atan(exp(x)))/9 + atan(2*exp(x) + 3^(1/2))/9 + atan(2*exp(x) - 3^(1/2))/9 - (2*exp(x))/(3*(exp(6*x) + 1)) - (3^(1/2)*log(((2*exp(x))/3 - 3^(1/2)/3)^2 + 1/9))/18 + (3^(1/2)*log(((2*exp(x))/3 + 3^(1/2)/3)^2 + 1/9))/18","B"
281,1,17,26,0.960594,"\text{Not used}","int(cosh(4*x)^2*exp(x),x)","\frac{{\mathrm{e}}^{9\,x}}{36}-\frac{{\mathrm{e}}^{-7\,x}}{28}+\frac{{\mathrm{e}}^x}{2}","Not used",1,"exp(9*x)/36 - exp(-7*x)/28 + exp(x)/2","B"
282,1,14,19,0.049369,"\text{Not used}","int(cosh(4*x)*exp(x),x)","\frac{{\mathrm{e}}^{-3\,x}\,\left(3\,{\mathrm{e}}^{8\,x}-5\right)}{30}","Not used",1,"(exp(-3*x)*(3*exp(8*x) - 5))/30","B"
283,1,479,371,4.560118,"\text{Not used}","int(exp(x)/cosh(4*x),x)","-\ln\left(32768\,{\mathrm{e}}^x\,{\left(\frac{\sqrt{\sqrt{2}+2}}{8}+\frac{\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}}{8}\right)}^3-512\right)\,\left(\frac{\sqrt{\sqrt{2}+2}}{8}+\frac{\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}}{8}\right)+\ln\left(32768\,{\mathrm{e}}^x\,{\left(\frac{\sqrt{\sqrt{2}+2}}{8}+\frac{\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}}{8}\right)}^3+512\right)\,\left(\frac{\sqrt{\sqrt{2}+2}}{8}+\frac{\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}}{8}\right)-\ln\left(32768\,{\mathrm{e}}^x\,{\left(-\frac{\sqrt{2-\sqrt{2}}}{8}+\frac{\sqrt{\sqrt{2}+2}\,1{}\mathrm{i}}{8}\right)}^3-512\right)\,\left(-\frac{\sqrt{2-\sqrt{2}}}{8}+\frac{\sqrt{\sqrt{2}+2}\,1{}\mathrm{i}}{8}\right)+\ln\left(32768\,{\mathrm{e}}^x\,{\left(-\frac{\sqrt{2-\sqrt{2}}}{8}+\frac{\sqrt{\sqrt{2}+2}\,1{}\mathrm{i}}{8}\right)}^3+512\right)\,\left(-\frac{\sqrt{2-\sqrt{2}}}{8}+\frac{\sqrt{\sqrt{2}+2}\,1{}\mathrm{i}}{8}\right)+\sqrt{2}\,\ln\left(-512+\sqrt{2}\,{\mathrm{e}}^x\,{\left(\frac{\sqrt{\sqrt{2}+2}}{8}+\frac{\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}}{8}\right)}^3\,\left(16384-16384{}\mathrm{i}\right)\right)\,\left(\frac{\sqrt{\sqrt{2}+2}}{8}+\frac{\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}}{8}\right)\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)+\sqrt{2}\,\ln\left(512+\sqrt{2}\,{\mathrm{e}}^x\,{\left(\frac{\sqrt{\sqrt{2}+2}}{8}+\frac{\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}}{8}\right)}^3\,\left(16384-16384{}\mathrm{i}\right)\right)\,\left(\frac{\sqrt{\sqrt{2}+2}}{8}+\frac{\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}}{8}\right)\,\left(-\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)+\sqrt{2}\,\ln\left(-512+\sqrt{2}\,{\mathrm{e}}^x\,{\left(\frac{\sqrt{\sqrt{2}+2}}{8}+\frac{\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}}{8}\right)}^3\,\left(16384+16384{}\mathrm{i}\right)\right)\,\left(\frac{\sqrt{\sqrt{2}+2}}{8}+\frac{\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}}{8}\right)\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)+\sqrt{2}\,\ln\left(512+\sqrt{2}\,{\mathrm{e}}^x\,{\left(\frac{\sqrt{\sqrt{2}+2}}{8}+\frac{\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}}{8}\right)}^3\,\left(16384+16384{}\mathrm{i}\right)\right)\,\left(\frac{\sqrt{\sqrt{2}+2}}{8}+\frac{\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}}{8}\right)\,\left(-\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)","Not used",1,"log(32768*exp(x)*((2^(1/2) + 2)^(1/2)/8 + ((2 - 2^(1/2))^(1/2)*1i)/8)^3 + 512)*((2^(1/2) + 2)^(1/2)/8 + ((2 - 2^(1/2))^(1/2)*1i)/8) - log(32768*exp(x)*((2^(1/2) + 2)^(1/2)/8 + ((2 - 2^(1/2))^(1/2)*1i)/8)^3 - 512)*((2^(1/2) + 2)^(1/2)/8 + ((2 - 2^(1/2))^(1/2)*1i)/8) - log(32768*exp(x)*(((2^(1/2) + 2)^(1/2)*1i)/8 - (2 - 2^(1/2))^(1/2)/8)^3 - 512)*(((2^(1/2) + 2)^(1/2)*1i)/8 - (2 - 2^(1/2))^(1/2)/8) + log(32768*exp(x)*(((2^(1/2) + 2)^(1/2)*1i)/8 - (2 - 2^(1/2))^(1/2)/8)^3 + 512)*(((2^(1/2) + 2)^(1/2)*1i)/8 - (2 - 2^(1/2))^(1/2)/8) + 2^(1/2)*log(2^(1/2)*exp(x)*((2^(1/2) + 2)^(1/2)/8 + ((2 - 2^(1/2))^(1/2)*1i)/8)^3*(16384 - 16384i) - 512)*((2^(1/2) + 2)^(1/2)/8 + ((2 - 2^(1/2))^(1/2)*1i)/8)*(1/2 + 1i/2) - 2^(1/2)*log(2^(1/2)*exp(x)*((2^(1/2) + 2)^(1/2)/8 + ((2 - 2^(1/2))^(1/2)*1i)/8)^3*(16384 - 16384i) + 512)*((2^(1/2) + 2)^(1/2)/8 + ((2 - 2^(1/2))^(1/2)*1i)/8)*(1/2 + 1i/2) + 2^(1/2)*log(2^(1/2)*exp(x)*((2^(1/2) + 2)^(1/2)/8 + ((2 - 2^(1/2))^(1/2)*1i)/8)^3*(16384 + 16384i) - 512)*((2^(1/2) + 2)^(1/2)/8 + ((2 - 2^(1/2))^(1/2)*1i)/8)*(1/2 - 1i/2) - 2^(1/2)*log(2^(1/2)*exp(x)*((2^(1/2) + 2)^(1/2)/8 + ((2 - 2^(1/2))^(1/2)*1i)/8)^3*(16384 + 16384i) + 512)*((2^(1/2) + 2)^(1/2)/8 + ((2 - 2^(1/2))^(1/2)*1i)/8)*(1/2 - 1i/2)","B"
284,1,473,379,3.466796,"\text{Not used}","int(exp(x)/cosh(4*x)^2,x)","-\frac{{\mathrm{e}}^x}{2\,\left({\mathrm{e}}^{8\,x}+1\right)}+\ln\left(-\frac{{\mathrm{e}}^x}{2}-\frac{\sqrt{\sqrt{2}+2}}{4}-\frac{\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}}{4}\right)\,\left(\frac{\sqrt{\sqrt{2}+2}}{32}+\frac{\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}}{32}\right)-\ln\left(\frac{\sqrt{\sqrt{2}+2}}{4}-\frac{{\mathrm{e}}^x}{2}+\frac{\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}}{4}\right)\,\left(\frac{\sqrt{\sqrt{2}+2}}{32}+\frac{\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}}{32}\right)+\ln\left(\frac{\sqrt{2-\sqrt{2}}}{4}-\frac{{\mathrm{e}}^x}{2}-\frac{\sqrt{\sqrt{2}+2}\,1{}\mathrm{i}}{4}\right)\,\left(-\frac{\sqrt{2-\sqrt{2}}}{32}+\frac{\sqrt{\sqrt{2}+2}\,1{}\mathrm{i}}{32}\right)-\ln\left(-\frac{{\mathrm{e}}^x}{2}-\frac{\sqrt{2-\sqrt{2}}}{4}+\frac{\sqrt{\sqrt{2}+2}\,1{}\mathrm{i}}{4}\right)\,\left(-\frac{\sqrt{2-\sqrt{2}}}{32}+\frac{\sqrt{\sqrt{2}+2}\,1{}\mathrm{i}}{32}\right)+\sqrt{2}\,\ln\left(-\frac{{\mathrm{e}}^x}{2}+\sqrt{2}\,\left(\frac{\sqrt{\sqrt{2}+2}}{32}+\frac{\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}}{32}\right)\,\left(-4-4{}\mathrm{i}\right)\right)\,\left(\frac{\sqrt{\sqrt{2}+2}}{32}+\frac{\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}}{32}\right)\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)+\sqrt{2}\,\ln\left(-\frac{{\mathrm{e}}^x}{2}+\sqrt{2}\,\left(\frac{\sqrt{\sqrt{2}+2}}{32}+\frac{\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}}{32}\right)\,\left(-4+4{}\mathrm{i}\right)\right)\,\left(\frac{\sqrt{\sqrt{2}+2}}{32}+\frac{\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}}{32}\right)\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)+\sqrt{2}\,\ln\left(-\frac{{\mathrm{e}}^x}{2}+\sqrt{2}\,\left(\frac{\sqrt{\sqrt{2}+2}}{32}+\frac{\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}}{32}\right)\,\left(4-4{}\mathrm{i}\right)\right)\,\left(\frac{\sqrt{\sqrt{2}+2}}{32}+\frac{\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}}{32}\right)\,\left(-\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)+\sqrt{2}\,\ln\left(-\frac{{\mathrm{e}}^x}{2}+\sqrt{2}\,\left(\frac{\sqrt{\sqrt{2}+2}}{32}+\frac{\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}}{32}\right)\,\left(4+4{}\mathrm{i}\right)\right)\,\left(\frac{\sqrt{\sqrt{2}+2}}{32}+\frac{\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}}{32}\right)\,\left(-\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)","Not used",1,"log(- exp(x)/2 - (2^(1/2) + 2)^(1/2)/4 - ((2 - 2^(1/2))^(1/2)*1i)/4)*((2^(1/2) + 2)^(1/2)/32 + ((2 - 2^(1/2))^(1/2)*1i)/32) - exp(x)/(2*(exp(8*x) + 1)) - log((2^(1/2) + 2)^(1/2)/4 - exp(x)/2 + ((2 - 2^(1/2))^(1/2)*1i)/4)*((2^(1/2) + 2)^(1/2)/32 + ((2 - 2^(1/2))^(1/2)*1i)/32) + log((2 - 2^(1/2))^(1/2)/4 - ((2^(1/2) + 2)^(1/2)*1i)/4 - exp(x)/2)*(((2^(1/2) + 2)^(1/2)*1i)/32 - (2 - 2^(1/2))^(1/2)/32) - log(((2^(1/2) + 2)^(1/2)*1i)/4 - exp(x)/2 - (2 - 2^(1/2))^(1/2)/4)*(((2^(1/2) + 2)^(1/2)*1i)/32 - (2 - 2^(1/2))^(1/2)/32) + 2^(1/2)*log(- exp(x)/2 - 2^(1/2)*((2^(1/2) + 2)^(1/2)/32 + ((2 - 2^(1/2))^(1/2)*1i)/32)*(4 + 4i))*((2^(1/2) + 2)^(1/2)/32 + ((2 - 2^(1/2))^(1/2)*1i)/32)*(1/2 + 1i/2) + 2^(1/2)*log(- exp(x)/2 - 2^(1/2)*((2^(1/2) + 2)^(1/2)/32 + ((2 - 2^(1/2))^(1/2)*1i)/32)*(4 - 4i))*((2^(1/2) + 2)^(1/2)/32 + ((2 - 2^(1/2))^(1/2)*1i)/32)*(1/2 - 1i/2) - 2^(1/2)*log(2^(1/2)*((2^(1/2) + 2)^(1/2)/32 + ((2 - 2^(1/2))^(1/2)*1i)/32)*(4 - 4i) - exp(x)/2)*((2^(1/2) + 2)^(1/2)/32 + ((2 - 2^(1/2))^(1/2)*1i)/32)*(1/2 - 1i/2) - 2^(1/2)*log(2^(1/2)*((2^(1/2) + 2)^(1/2)/32 + ((2 - 2^(1/2))^(1/2)*1i)/32)*(4 + 4i) - exp(x)/2)*((2^(1/2) + 2)^(1/2)/32 + ((2 - 2^(1/2))^(1/2)*1i)/32)*(1/2 + 1i/2)","B"
285,1,154,202,1.811024,"\text{Not used}","int(F^(c*(a + b*x))*cosh(d + e*x)^3,x)","\frac{F^{a\,c+b\,c\,x}\,\left(6\,e^3\,\mathrm{sinh}\left(d+e\,x\right)+3\,e^3\,{\mathrm{cosh}\left(d+e\,x\right)}^2\,\mathrm{sinh}\left(d+e\,x\right)+b^3\,c^3\,{\mathrm{cosh}\left(d+e\,x\right)}^3\,{\ln\left(F\right)}^3-b\,c\,e^2\,{\mathrm{cosh}\left(d+e\,x\right)}^3\,\ln\left(F\right)-6\,b\,c\,e^2\,\mathrm{cosh}\left(d+e\,x\right)\,\ln\left(F\right)-3\,b^2\,c^2\,e\,{\mathrm{cosh}\left(d+e\,x\right)}^2\,\mathrm{sinh}\left(d+e\,x\right)\,{\ln\left(F\right)}^2\right)}{b^4\,c^4\,{\ln\left(F\right)}^4-10\,b^2\,c^2\,e^2\,{\ln\left(F\right)}^2+9\,e^4}","Not used",1,"(F^(a*c + b*c*x)*(6*e^3*sinh(d + e*x) + 3*e^3*cosh(d + e*x)^2*sinh(d + e*x) + b^3*c^3*cosh(d + e*x)^3*log(F)^3 - b*c*e^2*cosh(d + e*x)^3*log(F) - 6*b*c*e^2*cosh(d + e*x)*log(F) - 3*b^2*c^2*e*cosh(d + e*x)^2*sinh(d + e*x)*log(F)^2))/(9*e^4 + b^4*c^4*log(F)^4 - 10*b^2*c^2*e^2*log(F)^2)","B"
286,1,100,132,1.249423,"\text{Not used}","int(F^(c*(a + b*x))*cosh(d + e*x)^2,x)","-\frac{2\,F^{a\,c+b\,c\,x}\,e^2-F^{a\,c+b\,c\,x}\,b^2\,c^2\,{\mathrm{cosh}\left(d+e\,x\right)}^2\,{\ln\left(F\right)}^2+2\,F^{a\,c+b\,c\,x}\,b\,c\,e\,\mathrm{cosh}\left(d+e\,x\right)\,\mathrm{sinh}\left(d+e\,x\right)\,\ln\left(F\right)}{b^3\,c^3\,{\ln\left(F\right)}^3-4\,b\,c\,e^2\,\ln\left(F\right)}","Not used",1,"-(2*F^(a*c + b*c*x)*e^2 - F^(a*c + b*c*x)*b^2*c^2*cosh(d + e*x)^2*log(F)^2 + 2*F^(a*c + b*c*x)*b*c*e*cosh(d + e*x)*sinh(d + e*x)*log(F))/(b^3*c^3*log(F)^3 - 4*b*c*e^2*log(F))","B"
287,1,74,75,1.006695,"\text{Not used}","int(F^(c*(a + b*x))*cosh(d + e*x),x)","-\frac{F^{a\,c+b\,c\,x}\,{\mathrm{e}}^{-d-e\,x}\,\left(e-e\,{\mathrm{e}}^{2\,d+2\,e\,x}+b\,c\,\ln\left(F\right)+b\,c\,{\mathrm{e}}^{2\,d+2\,e\,x}\,\ln\left(F\right)\right)}{2\,\left(e^2-b^2\,c^2\,{\ln\left(F\right)}^2\right)}","Not used",1,"-(F^(a*c + b*c*x)*exp(- d - e*x)*(e - e*exp(2*d + 2*e*x) + b*c*log(F) + b*c*exp(2*d + 2*e*x)*log(F)))/(2*(e^2 - b^2*c^2*log(F)^2))","B"
288,0,-1,68,0.000000,"\text{Not used}","int(F^(c*(a + b*x))/cosh(d + e*x),x)","\int \frac{F^{c\,\left(a+b\,x\right)}}{\mathrm{cosh}\left(d+e\,x\right)} \,d x","Not used",1,"int(F^(c*(a + b*x))/cosh(d + e*x), x)","F"
289,0,-1,70,0.000000,"\text{Not used}","int(F^(c*(a + b*x))/cosh(d + e*x)^2,x)","\int \frac{F^{c\,\left(a+b\,x\right)}}{{\mathrm{cosh}\left(d+e\,x\right)}^2} \,d x","Not used",1,"int(F^(c*(a + b*x))/cosh(d + e*x)^2, x)","F"
290,0,-1,124,0.000000,"\text{Not used}","int(F^(c*(a + b*x))/cosh(d + e*x)^3,x)","\int \frac{F^{c\,\left(a+b\,x\right)}}{{\mathrm{cosh}\left(d+e\,x\right)}^3} \,d x","Not used",1,"int(F^(c*(a + b*x))/cosh(d + e*x)^3, x)","F"
291,0,-1,133,0.000000,"\text{Not used}","int(F^(c*(a + b*x))/cosh(d + e*x)^4,x)","\int \frac{F^{c\,\left(a+b\,x\right)}}{{\mathrm{cosh}\left(d+e\,x\right)}^4} \,d x","Not used",1,"int(F^(c*(a + b*x))/cosh(d + e*x)^4, x)","F"
292,0,-1,250,0.000000,"\text{Not used}","int(exp(c*(a + b*x))*(cosh(a*c + b*c*x)^2)^(5/2),x)","\int {\mathrm{e}}^{c\,\left(a+b\,x\right)}\,{\left({\mathrm{cosh}\left(a\,c+b\,c\,x\right)}^2\right)}^{5/2} \,d x","Not used",1,"int(exp(c*(a + b*x))*(cosh(a*c + b*c*x)^2)^(5/2), x)","F"
293,0,-1,162,0.000000,"\text{Not used}","int(exp(c*(a + b*x))*(cosh(a*c + b*c*x)^2)^(3/2),x)","\int {\mathrm{e}}^{c\,\left(a+b\,x\right)}\,{\left({\mathrm{cosh}\left(a\,c+b\,c\,x\right)}^2\right)}^{3/2} \,d x","Not used",1,"int(exp(c*(a + b*x))*(cosh(a*c + b*c*x)^2)^(3/2), x)","F"
294,1,76,74,0.121146,"\text{Not used}","int(exp(c*(a + b*x))*(cosh(a*c + b*c*x)^2)^(1/2),x)","\frac{\left(x\,{\mathrm{e}}^{a\,c+b\,c\,x}+\frac{{\mathrm{e}}^{3\,a\,c+3\,b\,c\,x}}{2\,b\,c}\right)\,\sqrt{{\left(\frac{{\mathrm{e}}^{a\,c+b\,c\,x}}{2}+\frac{{\mathrm{e}}^{-a\,c-b\,c\,x}}{2}\right)}^2}}{{\mathrm{e}}^{2\,a\,c+2\,b\,c\,x}+1}","Not used",1,"((x*exp(a*c + b*c*x) + exp(3*a*c + 3*b*c*x)/(2*b*c))*((exp(a*c + b*c*x)/2 + exp(- a*c - b*c*x)/2)^2)^(1/2))/(exp(2*a*c + 2*b*c*x) + 1)","B"
295,0,-1,44,0.000000,"\text{Not used}","int(exp(c*(a + b*x))/(cosh(a*c + b*c*x)^2)^(1/2),x)","\int \frac{{\mathrm{e}}^{c\,\left(a+b\,x\right)}}{\sqrt{{\mathrm{cosh}\left(a\,c+b\,c\,x\right)}^2}} \,d x","Not used",1,"int(exp(c*(a + b*x))/(cosh(a*c + b*c*x)^2)^(1/2), x)","F"
296,1,76,56,0.943505,"\text{Not used}","int(exp(c*(a + b*x))/(cosh(a*c + b*c*x)^2)^(3/2),x)","-\frac{4\,{\mathrm{e}}^{a\,c+b\,c\,x}\,\left(2\,{\mathrm{e}}^{2\,a\,c+2\,b\,c\,x}+1\right)\,\sqrt{{\left(\frac{{\mathrm{e}}^{a\,c+b\,c\,x}}{2}+\frac{{\mathrm{e}}^{-a\,c-b\,c\,x}}{2}\right)}^2}}{b\,c\,{\left({\mathrm{e}}^{2\,a\,c+2\,b\,c\,x}+1\right)}^3}","Not used",1,"-(4*exp(a*c + b*c*x)*(2*exp(2*a*c + 2*b*c*x) + 1)*((exp(a*c + b*c*x)/2 + exp(- a*c - b*c*x)/2)^2)^(1/2))/(b*c*(exp(2*a*c + 2*b*c*x) + 1)^3)","B"
297,1,89,141,0.104088,"\text{Not used}","int(exp(c*(a + b*x))/(cosh(a*c + b*c*x)^2)^(5/2),x)","-\frac{8\,{\mathrm{e}}^{a\,c+b\,c\,x}\,\sqrt{{\left(\frac{{\mathrm{e}}^{a\,c+b\,c\,x}}{2}+\frac{{\mathrm{e}}^{-a\,c-b\,c\,x}}{2}\right)}^2}\,\left(4\,{\mathrm{e}}^{2\,a\,c+2\,b\,c\,x}+6\,{\mathrm{e}}^{4\,a\,c+4\,b\,c\,x}+1\right)}{3\,b\,c\,{\left({\mathrm{e}}^{2\,a\,c+2\,b\,c\,x}+1\right)}^5}","Not used",1,"-(8*exp(a*c + b*c*x)*((exp(a*c + b*c*x)/2 + exp(- a*c - b*c*x)/2)^2)^(1/2)*(4*exp(2*a*c + 2*b*c*x) + 6*exp(4*a*c + 4*b*c*x) + 1))/(3*b*c*(exp(2*a*c + 2*b*c*x) + 1)^5)","B"
298,1,345,191,0.111452,"\text{Not used}","int(exp(c*(a + b*x))/(cosh(a*c + b*c*x)^2)^(7/2),x)","\frac{96\,{\mathrm{e}}^{2\,a\,c+2\,b\,c\,x}\,\sqrt{{\left(\frac{{\mathrm{e}}^{a\,c+b\,c\,x}}{2}+\frac{{\mathrm{e}}^{-a\,c-b\,c\,x}}{2}\right)}^2}}{b\,c\,\left({\mathrm{e}}^{a\,c+b\,c\,x}+{\mathrm{e}}^{3\,a\,c+3\,b\,c\,x}\right)\,{\left({\mathrm{e}}^{2\,a\,c+2\,b\,c\,x}+1\right)}^4}-\frac{128\,{\mathrm{e}}^{2\,a\,c+2\,b\,c\,x}\,\sqrt{{\left(\frac{{\mathrm{e}}^{a\,c+b\,c\,x}}{2}+\frac{{\mathrm{e}}^{-a\,c-b\,c\,x}}{2}\right)}^2}}{3\,b\,c\,\left({\mathrm{e}}^{a\,c+b\,c\,x}+{\mathrm{e}}^{3\,a\,c+3\,b\,c\,x}\right)\,{\left({\mathrm{e}}^{2\,a\,c+2\,b\,c\,x}+1\right)}^3}-\frac{384\,{\mathrm{e}}^{2\,a\,c+2\,b\,c\,x}\,\sqrt{{\left(\frac{{\mathrm{e}}^{a\,c+b\,c\,x}}{2}+\frac{{\mathrm{e}}^{-a\,c-b\,c\,x}}{2}\right)}^2}}{5\,b\,c\,\left({\mathrm{e}}^{a\,c+b\,c\,x}+{\mathrm{e}}^{3\,a\,c+3\,b\,c\,x}\right)\,{\left({\mathrm{e}}^{2\,a\,c+2\,b\,c\,x}+1\right)}^5}+\frac{64\,{\mathrm{e}}^{2\,a\,c+2\,b\,c\,x}\,\sqrt{{\left(\frac{{\mathrm{e}}^{a\,c+b\,c\,x}}{2}+\frac{{\mathrm{e}}^{-a\,c-b\,c\,x}}{2}\right)}^2}}{3\,b\,c\,\left({\mathrm{e}}^{a\,c+b\,c\,x}+{\mathrm{e}}^{3\,a\,c+3\,b\,c\,x}\right)\,{\left({\mathrm{e}}^{2\,a\,c+2\,b\,c\,x}+1\right)}^6}","Not used",1,"(96*exp(2*a*c + 2*b*c*x)*((exp(a*c + b*c*x)/2 + exp(- a*c - b*c*x)/2)^2)^(1/2))/(b*c*(exp(a*c + b*c*x) + exp(3*a*c + 3*b*c*x))*(exp(2*a*c + 2*b*c*x) + 1)^4) - (128*exp(2*a*c + 2*b*c*x)*((exp(a*c + b*c*x)/2 + exp(- a*c - b*c*x)/2)^2)^(1/2))/(3*b*c*(exp(a*c + b*c*x) + exp(3*a*c + 3*b*c*x))*(exp(2*a*c + 2*b*c*x) + 1)^3) - (384*exp(2*a*c + 2*b*c*x)*((exp(a*c + b*c*x)/2 + exp(- a*c - b*c*x)/2)^2)^(1/2))/(5*b*c*(exp(a*c + b*c*x) + exp(3*a*c + 3*b*c*x))*(exp(2*a*c + 2*b*c*x) + 1)^5) + (64*exp(2*a*c + 2*b*c*x)*((exp(a*c + b*c*x)/2 + exp(- a*c - b*c*x)/2)^2)^(1/2))/(3*b*c*(exp(a*c + b*c*x) + exp(3*a*c + 3*b*c*x))*(exp(2*a*c + 2*b*c*x) + 1)^6)","B"
299,1,45,41,0.086907,"\text{Not used}","int(cosh(a + b*x)*exp(x),x)","-\frac{{\mathrm{e}}^{x-a-b\,x}\,\left(b+{\mathrm{e}}^{2\,a+2\,b\,x}-b\,{\mathrm{e}}^{2\,a+2\,b\,x}+1\right)}{2\,\left(b^2-1\right)}","Not used",1,"-(exp(x - a - b*x)*(b + exp(2*a + 2*b*x) - b*exp(2*a + 2*b*x) + 1))/(2*(b^2 - 1))","B"
300,0,-1,85,0.000000,"\text{Not used}","int(exp(x)*cosh(a + c*x^2),x)","\int {\mathrm{e}}^x\,\mathrm{cosh}\left(c\,x^2+a\right) \,d x","Not used",1,"int(exp(x)*cosh(a + c*x^2), x)","F"
301,0,-1,101,0.000000,"\text{Not used}","int(exp(x)*cosh(a + b*x + c*x^2),x)","\int {\mathrm{e}}^x\,\mathrm{cosh}\left(c\,x^2+b\,x+a\right) \,d x","Not used",1,"int(exp(x)*cosh(a + b*x + c*x^2), x)","F"
302,0,-1,65,0.000000,"\text{Not used}","int(cosh(a + b*x)*exp(x^2),x)","\int \mathrm{cosh}\left(a+b\,x\right)\,{\mathrm{e}}^{x^2} \,d x","Not used",1,"int(cosh(a + b*x)*exp(x^2), x)","F"
303,0,-1,65,0.000000,"\text{Not used}","int(exp(x^2)*cosh(a + c*x^2),x)","\int {\mathrm{e}}^{x^2}\,\mathrm{cosh}\left(c\,x^2+a\right) \,d x","Not used",1,"int(exp(x^2)*cosh(a + c*x^2), x)","F"
304,0,-1,115,0.000000,"\text{Not used}","int(exp(x^2)*cosh(a + b*x + c*x^2),x)","\int {\mathrm{e}}^{x^2}\,\mathrm{cosh}\left(c\,x^2+b\,x+a\right) \,d x","Not used",1,"int(exp(x^2)*cosh(a + b*x + c*x^2), x)","F"
305,0,-1,110,0.000000,"\text{Not used}","int(f^(a + b*x)*cosh(d + f*x^2),x)","\int f^{a+b\,x}\,\mathrm{cosh}\left(f\,x^2+d\right) \,d x","Not used",1,"int(f^(a + b*x)*cosh(d + f*x^2), x)","F"
306,0,-1,148,0.000000,"\text{Not used}","int(f^(a + b*x)*cosh(d + f*x^2)^2,x)","\int f^{a+b\,x}\,{\mathrm{cosh}\left(f\,x^2+d\right)}^2 \,d x","Not used",1,"int(f^(a + b*x)*cosh(d + f*x^2)^2, x)","F"
307,0,-1,239,0.000000,"\text{Not used}","int(f^(a + b*x)*cosh(d + f*x^2)^3,x)","\int f^{a+b\,x}\,{\mathrm{cosh}\left(f\,x^2+d\right)}^3 \,d x","Not used",1,"int(f^(a + b*x)*cosh(d + f*x^2)^3, x)","F"
308,0,-1,115,0.000000,"\text{Not used}","int(f^(a + b*x)*cosh(d + e*x + f*x^2),x)","\int f^{a+b\,x}\,\mathrm{cosh}\left(f\,x^2+e\,x+d\right) \,d x","Not used",1,"int(f^(a + b*x)*cosh(d + e*x + f*x^2), x)","F"
309,0,-1,161,0.000000,"\text{Not used}","int(f^(a + b*x)*cosh(d + e*x + f*x^2)^2,x)","\int f^{a+b\,x}\,{\mathrm{cosh}\left(f\,x^2+e\,x+d\right)}^2 \,d x","Not used",1,"int(f^(a + b*x)*cosh(d + e*x + f*x^2)^2, x)","F"
310,0,-1,257,0.000000,"\text{Not used}","int(f^(a + b*x)*cosh(d + e*x + f*x^2)^3,x)","\int f^{a+b\,x}\,{\mathrm{cosh}\left(f\,x^2+e\,x+d\right)}^3 \,d x","Not used",1,"int(f^(a + b*x)*cosh(d + e*x + f*x^2)^3, x)","F"
311,0,-1,133,0.000000,"\text{Not used}","int(f^(a + c*x^2)*cosh(d + e*x),x)","\int f^{c\,x^2+a}\,\mathrm{cosh}\left(d+e\,x\right) \,d x","Not used",1,"int(f^(a + c*x^2)*cosh(d + e*x), x)","F"
312,0,-1,161,0.000000,"\text{Not used}","int(f^(a + c*x^2)*cosh(d + e*x)^2,x)","\int f^{c\,x^2+a}\,{\mathrm{cosh}\left(d+e\,x\right)}^2 \,d x","Not used",1,"int(f^(a + c*x^2)*cosh(d + e*x)^2, x)","F"
313,0,-1,271,0.000000,"\text{Not used}","int(f^(a + c*x^2)*cosh(d + e*x)^3,x)","\int f^{c\,x^2+a}\,{\mathrm{cosh}\left(d+e\,x\right)}^3 \,d x","Not used",1,"int(f^(a + c*x^2)*cosh(d + e*x)^3, x)","F"
314,0,-1,81,0.000000,"\text{Not used}","int(f^(a + c*x^2)*cosh(d + f*x^2),x)","\int f^{c\,x^2+a}\,\mathrm{cosh}\left(f\,x^2+d\right) \,d x","Not used",1,"int(f^(a + c*x^2)*cosh(d + f*x^2), x)","F"
315,0,-1,128,0.000000,"\text{Not used}","int(f^(a + c*x^2)*cosh(d + f*x^2)^2,x)","\int f^{c\,x^2+a}\,{\mathrm{cosh}\left(f\,x^2+d\right)}^2 \,d x","Not used",1,"int(f^(a + c*x^2)*cosh(d + f*x^2)^2, x)","F"
316,0,-1,171,0.000000,"\text{Not used}","int(f^(a + c*x^2)*cosh(d + f*x^2)^3,x)","\int f^{c\,x^2+a}\,{\mathrm{cosh}\left(f\,x^2+d\right)}^3 \,d x","Not used",1,"int(f^(a + c*x^2)*cosh(d + f*x^2)^3, x)","F"
317,0,-1,140,0.000000,"\text{Not used}","int(f^(a + c*x^2)*cosh(d + e*x + f*x^2),x)","\int f^{c\,x^2+a}\,\mathrm{cosh}\left(f\,x^2+e\,x+d\right) \,d x","Not used",1,"int(f^(a + c*x^2)*cosh(d + e*x + f*x^2), x)","F"
318,0,-1,183,0.000000,"\text{Not used}","int(f^(a + c*x^2)*cosh(d + e*x + f*x^2)^2,x)","\int f^{c\,x^2+a}\,{\mathrm{cosh}\left(f\,x^2+e\,x+d\right)}^2 \,d x","Not used",1,"int(f^(a + c*x^2)*cosh(d + e*x + f*x^2)^2, x)","F"
319,0,-1,300,0.000000,"\text{Not used}","int(f^(a + c*x^2)*cosh(d + e*x + f*x^2)^3,x)","\int f^{c\,x^2+a}\,{\mathrm{cosh}\left(f\,x^2+e\,x+d\right)}^3 \,d x","Not used",1,"int(f^(a + c*x^2)*cosh(d + e*x + f*x^2)^3, x)","F"
320,0,-1,153,0.000000,"\text{Not used}","int(f^(a + b*x + c*x^2)*cosh(d + e*x),x)","\int f^{c\,x^2+b\,x+a}\,\mathrm{cosh}\left(d+e\,x\right) \,d x","Not used",1,"int(f^(a + b*x + c*x^2)*cosh(d + e*x), x)","F"
321,0,-1,219,0.000000,"\text{Not used}","int(f^(a + b*x + c*x^2)*cosh(d + e*x)^2,x)","\int f^{c\,x^2+b\,x+a}\,{\mathrm{cosh}\left(d+e\,x\right)}^2 \,d x","Not used",1,"int(f^(a + b*x + c*x^2)*cosh(d + e*x)^2, x)","F"
322,0,-1,315,0.000000,"\text{Not used}","int(f^(a + b*x + c*x^2)*cosh(d + e*x)^3,x)","\int f^{c\,x^2+b\,x+a}\,{\mathrm{cosh}\left(d+e\,x\right)}^3 \,d x","Not used",1,"int(f^(a + b*x + c*x^2)*cosh(d + e*x)^3, x)","F"
323,0,-1,154,0.000000,"\text{Not used}","int(f^(a + b*x + c*x^2)*cosh(d + f*x^2),x)","\int f^{c\,x^2+b\,x+a}\,\mathrm{cosh}\left(f\,x^2+d\right) \,d x","Not used",1,"int(f^(a + b*x + c*x^2)*cosh(d + f*x^2), x)","F"
324,0,-1,225,0.000000,"\text{Not used}","int(f^(a + b*x + c*x^2)*cosh(d + f*x^2)^2,x)","\int f^{c\,x^2+b\,x+a}\,{\mathrm{cosh}\left(f\,x^2+d\right)}^2 \,d x","Not used",1,"int(f^(a + b*x + c*x^2)*cosh(d + f*x^2)^2, x)","F"
325,0,-1,323,0.000000,"\text{Not used}","int(f^(a + b*x + c*x^2)*cosh(d + f*x^2)^3,x)","\int f^{c\,x^2+b\,x+a}\,{\mathrm{cosh}\left(f\,x^2+d\right)}^3 \,d x","Not used",1,"int(f^(a + b*x + c*x^2)*cosh(d + f*x^2)^3, x)","F"
326,0,-1,161,0.000000,"\text{Not used}","int(f^(a + b*x + c*x^2)*cosh(d + e*x + f*x^2),x)","\int f^{c\,x^2+b\,x+a}\,\mathrm{cosh}\left(f\,x^2+e\,x+d\right) \,d x","Not used",1,"int(f^(a + b*x + c*x^2)*cosh(d + e*x + f*x^2), x)","F"
327,0,-1,239,0.000000,"\text{Not used}","int(f^(a + b*x + c*x^2)*cosh(d + e*x + f*x^2)^2,x)","\int f^{c\,x^2+b\,x+a}\,{\mathrm{cosh}\left(f\,x^2+e\,x+d\right)}^2 \,d x","Not used",1,"int(f^(a + b*x + c*x^2)*cosh(d + e*x + f*x^2)^2, x)","F"
328,0,-1,344,0.000000,"\text{Not used}","int(f^(a + b*x + c*x^2)*cosh(d + e*x + f*x^2)^3,x)","\int f^{c\,x^2+b\,x+a}\,{\mathrm{cosh}\left(f\,x^2+e\,x+d\right)}^3 \,d x","Not used",1,"int(f^(a + b*x + c*x^2)*cosh(d + e*x + f*x^2)^3, x)","F"
329,1,39,20,0.147951,"\text{Not used}","int(x*cosh(x)^(1/2) + x/cosh(x)^(3/2),x)","-\frac{2\,\sqrt{\frac{{\mathrm{e}}^{-x}}{2}+\frac{{\mathrm{e}}^x}{2}}\,\left(x+2\,{\mathrm{e}}^{2\,x}-x\,{\mathrm{e}}^{2\,x}+2\right)}{{\mathrm{e}}^{2\,x}+1}","Not used",1,"-(2*(exp(-x)/2 + exp(x)/2)^(1/2)*(x + 2*exp(2*x) - x*exp(2*x) + 2))/(exp(2*x) + 1)","B"
330,1,42,24,0.966912,"\text{Not used}","int(x/cosh(x)^(5/2) - x/(3*cosh(x)^(1/2)),x)","\frac{4\,{\mathrm{e}}^x\,\sqrt{\frac{{\mathrm{e}}^{-x}}{2}+\frac{{\mathrm{e}}^x}{2}}\,\left(2\,{\mathrm{e}}^{2\,x}-x+x\,{\mathrm{e}}^{2\,x}+2\right)}{3\,{\left({\mathrm{e}}^{2\,x}+1\right)}^2}","Not used",1,"(4*exp(x)*(exp(-x)/2 + exp(x)/2)^(1/2)*(2*exp(2*x) - x + x*exp(2*x) + 2))/(3*(exp(2*x) + 1)^2)","B"
331,1,110,47,1.106345,"\text{Not used}","int((3*x*cosh(x)^(1/2))/5 + x/cosh(x)^(7/2),x)","\frac{{\mathrm{e}}^{2\,x}\,\left(\frac{8\,x}{5}+\frac{16}{15}\right)\,\sqrt{\frac{{\mathrm{e}}^{-x}}{2}+\frac{{\mathrm{e}}^x}{2}}}{{\left({\mathrm{e}}^{2\,x}+1\right)}^2}-\left(\frac{6\,x}{5}+\frac{12}{5}\right)\,\sqrt{\frac{{\mathrm{e}}^{-x}}{2}+\frac{{\mathrm{e}}^x}{2}}+\frac{12\,x\,{\mathrm{e}}^{2\,x}\,\sqrt{\frac{{\mathrm{e}}^{-x}}{2}+\frac{{\mathrm{e}}^x}{2}}}{5\,\left({\mathrm{e}}^{2\,x}+1\right)}-\frac{16\,x\,{\mathrm{e}}^{2\,x}\,\sqrt{\frac{{\mathrm{e}}^{-x}}{2}+\frac{{\mathrm{e}}^x}{2}}}{5\,{\left({\mathrm{e}}^{2\,x}+1\right)}^3}","Not used",1,"(exp(2*x)*((8*x)/5 + 16/15)*(exp(-x)/2 + exp(x)/2)^(1/2))/(exp(2*x) + 1)^2 - ((6*x)/5 + 12/5)*(exp(-x)/2 + exp(x)/2)^(1/2) + (12*x*exp(2*x)*(exp(-x)/2 + exp(x)/2)^(1/2))/(5*(exp(2*x) + 1)) - (16*x*exp(2*x)*(exp(-x)/2 + exp(x)/2)^(1/2))/(5*(exp(2*x) + 1)^3)","B"
332,0,-1,36,0.000000,"\text{Not used}","int(x^2*cosh(x)^(1/2) + x^2/cosh(x)^(3/2),x)","\int x^2\,\sqrt{\mathrm{cosh}\left(x\right)}+\frac{x^2}{{\mathrm{cosh}\left(x\right)}^{3/2}} \,d x","Not used",1,"int(x^2*cosh(x)^(1/2) + x^2/cosh(x)^(3/2), x)","F"
333,1,24,30,0.049127,"\text{Not used}","int((x + cosh(x))^2,x)","\frac{x}{2}-2\,\mathrm{cosh}\left(x\right)+\frac{\mathrm{cosh}\left(x\right)\,\mathrm{sinh}\left(x\right)}{2}+2\,x\,\mathrm{sinh}\left(x\right)+\frac{x^3}{3}","Not used",1,"x/2 - 2*cosh(x) + (cosh(x)*sinh(x))/2 + 2*x*sinh(x) + x^3/3","B"
334,1,48,56,0.068692,"\text{Not used}","int((x + cosh(x))^3,x)","\frac{20\,\mathrm{sinh}\left(x\right)}{3}+3\,x^2\,\mathrm{sinh}\left(x\right)-\frac{3\,{\mathrm{cosh}\left(x\right)}^2}{4}+\frac{{\mathrm{cosh}\left(x\right)}^2\,\mathrm{sinh}\left(x\right)}{3}-6\,x\,\mathrm{cosh}\left(x\right)+\frac{3\,x^2}{4}+\frac{x^4}{4}+\frac{3\,x\,\mathrm{cosh}\left(x\right)\,\mathrm{sinh}\left(x\right)}{2}","Not used",1,"(20*sinh(x))/3 + 3*x^2*sinh(x) - (3*cosh(x)^2)/4 + (cosh(x)^2*sinh(x))/3 - 6*x*cosh(x) + (3*x^2)/4 + x^4/4 + (3*x*cosh(x)*sinh(x))/2","B"
335,0,-1,213,0.000000,"\text{Not used}","int(cosh(a + b*x)/(c + d*x^2),x)","\int \frac{\mathrm{cosh}\left(a+b\,x\right)}{d\,x^2+c} \,d x","Not used",1,"int(cosh(a + b*x)/(c + d*x^2), x)","F"
336,0,-1,271,0.000000,"\text{Not used}","int(cosh(a + b*x)/(c + d*x + e*x^2),x)","\int \frac{\mathrm{cosh}\left(a+b\,x\right)}{e\,x^2+d\,x+c} \,d x","Not used",1,"int(cosh(a + b*x)/(c + d*x + e*x^2), x)","F"