1,1,10,0,0.591241," ","integrate(cosh(b*x+a),x, algorithm=""fricas"")","\frac{\sinh\left(b x + a\right)}{b}"," ",0,"sinh(b*x + a)/b","A",0
2,1,22,0,0.563916," ","integrate(cosh(b*x+a)^2,x, algorithm=""fricas"")","\frac{b x + \cosh\left(b x + a\right) \sinh\left(b x + a\right)}{2 \, b}"," ",0,"1/2*(b*x + cosh(b*x + a)*sinh(b*x + a))/b","A",0
3,1,32,0,0.733946," ","integrate(cosh(b*x+a)^3,x, algorithm=""fricas"")","\frac{\sinh\left(b x + a\right)^{3} + 3 \, {\left(\cosh\left(b x + a\right)^{2} + 3\right)} \sinh\left(b x + a\right)}{12 \, b}"," ",0,"1/12*(sinh(b*x + a)^3 + 3*(cosh(b*x + a)^2 + 3)*sinh(b*x + a))/b","A",0
4,1,49,0,0.811685," ","integrate(cosh(b*x+a)^4,x, algorithm=""fricas"")","\frac{\cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + 3 \, b x + {\left(\cosh\left(b x + a\right)^{3} + 4 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}{8 \, b}"," ",0,"1/8*(cosh(b*x + a)*sinh(b*x + a)^3 + 3*b*x + (cosh(b*x + a)^3 + 4*cosh(b*x + a))*sinh(b*x + a))/b","A",0
5,1,66,0,0.468697," ","integrate(cosh(b*x+a)^5,x, algorithm=""fricas"")","\frac{3 \, \sinh\left(b x + a\right)^{5} + 5 \, {\left(6 \, \cosh\left(b x + a\right)^{2} + 5\right)} \sinh\left(b x + a\right)^{3} + 15 \, {\left(\cosh\left(b x + a\right)^{4} + 5 \, \cosh\left(b x + a\right)^{2} + 10\right)} \sinh\left(b x + a\right)}{240 \, b}"," ",0,"1/240*(3*sinh(b*x + a)^5 + 5*(6*cosh(b*x + a)^2 + 5)*sinh(b*x + a)^3 + 15*(cosh(b*x + a)^4 + 5*cosh(b*x + a)^2 + 10)*sinh(b*x + a))/b","A",0
6,1,90,0,0.613229," ","integrate(cosh(b*x+a)^6,x, algorithm=""fricas"")","\frac{3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + 2 \, {\left(5 \, \cosh\left(b x + a\right)^{3} + 9 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 30 \, b x + 3 \, {\left(\cosh\left(b x + a\right)^{5} + 6 \, \cosh\left(b x + a\right)^{3} + 15 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}{96 \, b}"," ",0,"1/96*(3*cosh(b*x + a)*sinh(b*x + a)^5 + 2*(5*cosh(b*x + a)^3 + 9*cosh(b*x + a))*sinh(b*x + a)^3 + 30*b*x + 3*(cosh(b*x + a)^5 + 6*cosh(b*x + a)^3 + 15*cosh(b*x + a))*sinh(b*x + a))/b","A",0
7,0,0,0,0.463798," ","integrate(cosh(b*x+a)^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\cosh\left(b x + a\right)^{\frac{7}{2}}, x\right)"," ",0,"integral(cosh(b*x + a)^(7/2), x)","F",0
8,0,0,0,0.539741," ","integrate(cosh(b*x+a)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\cosh\left(b x + a\right)^{\frac{5}{2}}, x\right)"," ",0,"integral(cosh(b*x + a)^(5/2), x)","F",0
9,0,0,0,0.499454," ","integrate(cosh(b*x+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\cosh\left(b x + a\right)^{\frac{3}{2}}, x\right)"," ",0,"integral(cosh(b*x + a)^(3/2), x)","F",0
10,0,0,0,0.487239," ","integrate(cosh(b*x+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{\cosh\left(b x + a\right)}, x\right)"," ",0,"integral(sqrt(cosh(b*x + a)), x)","F",0
11,0,0,0,0.490197," ","integrate(1/cosh(b*x+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\sqrt{\cosh\left(b x + a\right)}}, x\right)"," ",0,"integral(1/sqrt(cosh(b*x + a)), x)","F",0
12,0,0,0,0.517585," ","integrate(1/cosh(b*x+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\cosh\left(b x + a\right)^{\frac{3}{2}}}, x\right)"," ",0,"integral(cosh(b*x + a)^(-3/2), x)","F",0
13,0,0,0,0.484181," ","integrate(1/cosh(b*x+a)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\cosh\left(b x + a\right)^{\frac{5}{2}}}, x\right)"," ",0,"integral(cosh(b*x + a)^(-5/2), x)","F",0
14,0,0,0,0.453954," ","integrate(1/cosh(b*x+a)^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\cosh\left(b x + a\right)^{\frac{7}{2}}}, x\right)"," ",0,"integral(cosh(b*x + a)^(-7/2), x)","F",0
15,0,0,0,0.474803," ","integrate((a*cosh(x))^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{a \cosh\left(x\right)} a^{3} \cosh\left(x\right)^{3}, x\right)"," ",0,"integral(sqrt(a*cosh(x))*a^3*cosh(x)^3, x)","F",0
16,0,0,0,0.462468," ","integrate((a*cosh(x))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{a \cosh\left(x\right)} a^{2} \cosh\left(x\right)^{2}, x\right)"," ",0,"integral(sqrt(a*cosh(x))*a^2*cosh(x)^2, x)","F",0
17,0,0,0,0.548548," ","integrate((a*cosh(x))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{a \cosh\left(x\right)} a \cosh\left(x\right), x\right)"," ",0,"integral(sqrt(a*cosh(x))*a*cosh(x), x)","F",0
18,0,0,0,0.579611," ","integrate((a*cosh(x))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{a \cosh\left(x\right)}, x\right)"," ",0,"integral(sqrt(a*cosh(x)), x)","F",0
19,0,0,0,0.494336," ","integrate(1/(a*cosh(x))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{a \cosh\left(x\right)}}{a \cosh\left(x\right)}, x\right)"," ",0,"integral(sqrt(a*cosh(x))/(a*cosh(x)), x)","F",0
20,0,0,0,0.662420," ","integrate(1/(a*cosh(x))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{a \cosh\left(x\right)}}{a^{2} \cosh\left(x\right)^{2}}, x\right)"," ",0,"integral(sqrt(a*cosh(x))/(a^2*cosh(x)^2), x)","F",0
21,0,0,0,0.517021," ","integrate(1/(a*cosh(x))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{a \cosh\left(x\right)}}{a^{3} \cosh\left(x\right)^{3}}, x\right)"," ",0,"integral(sqrt(a*cosh(x))/(a^3*cosh(x)^3), x)","F",0
22,0,0,0,0.687854," ","integrate(1/(a*cosh(x))^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{a \cosh\left(x\right)}}{a^{4} \cosh\left(x\right)^{4}}, x\right)"," ",0,"integral(sqrt(a*cosh(x))/(a^4*cosh(x)^4), x)","F",0
23,0,0,0,0.996735," ","integrate((b*cosh(d*x+c))^n,x, algorithm=""fricas"")","{\rm integral}\left(\left(b \cosh\left(d x + c\right)\right)^{n}, x\right)"," ",0,"integral((b*cosh(d*x + c))^n, x)","F",0
24,1,100,0,0.514975," ","integrate(cosh(x)^4/(a+a*cosh(x)),x, algorithm=""fricas"")","\frac{\cosh\left(x\right)^{4} + {\left(4 \, \cosh\left(x\right) - 1\right)} \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} - 3 \, \cosh\left(x\right)^{3} + {\left(6 \, \cosh\left(x\right)^{2} - 9 \, \cosh\left(x\right) + 20\right)} \sinh\left(x\right)^{2} - 3 \, {\left(12 \, x - 1\right)} \cosh\left(x\right) + 20 \, \cosh\left(x\right)^{2} + {\left(4 \, \cosh\left(x\right)^{3} - 3 \, \cosh\left(x\right)^{2} - 36 \, x + 32 \, \cosh\left(x\right) + 39\right)} \sinh\left(x\right) - 36 \, x - 69}{24 \, {\left(a \cosh\left(x\right) + a \sinh\left(x\right) + a\right)}}"," ",0,"1/24*(cosh(x)^4 + (4*cosh(x) - 1)*sinh(x)^3 + sinh(x)^4 - 3*cosh(x)^3 + (6*cosh(x)^2 - 9*cosh(x) + 20)*sinh(x)^2 - 3*(12*x - 1)*cosh(x) + 20*cosh(x)^2 + (4*cosh(x)^3 - 3*cosh(x)^2 - 36*x + 32*cosh(x) + 39)*sinh(x) - 36*x - 69)/(a*cosh(x) + a*sinh(x) + a)","B",0
25,1,70,0,3.488397," ","integrate(cosh(x)^3/(a+a*cosh(x)),x, algorithm=""fricas"")","\frac{\cosh\left(x\right)^{3} + {\left(3 \, \cosh\left(x\right) - 4\right)} \sinh\left(x\right)^{2} + \sinh\left(x\right)^{3} + {\left(12 \, x - 1\right)} \cosh\left(x\right) - 4 \, \cosh\left(x\right)^{2} + {\left(3 \, \cosh\left(x\right)^{2} + 12 \, x - 4 \, \cosh\left(x\right) - 7\right)} \sinh\left(x\right) + 12 \, x + 20}{8 \, {\left(a \cosh\left(x\right) + a \sinh\left(x\right) + a\right)}}"," ",0,"1/8*(cosh(x)^3 + (3*cosh(x) - 4)*sinh(x)^2 + sinh(x)^3 + (12*x - 1)*cosh(x) - 4*cosh(x)^2 + (3*cosh(x)^2 + 12*x - 4*cosh(x) - 7)*sinh(x) + 12*x + 20)/(a*cosh(x) + a*sinh(x) + a)","A",0
26,1,47,0,1.463340," ","integrate(cosh(x)^2/(a+a*cosh(x)),x, algorithm=""fricas"")","-\frac{2 \, x \cosh\left(x\right) - \cosh\left(x\right)^{2} + 2 \, {\left(x - \cosh\left(x\right) - 1\right)} \sinh\left(x\right) - \sinh\left(x\right)^{2} + 2 \, x + 5}{2 \, {\left(a \cosh\left(x\right) + a \sinh\left(x\right) + a\right)}}"," ",0,"-1/2*(2*x*cosh(x) - cosh(x)^2 + 2*(x - cosh(x) - 1)*sinh(x) - sinh(x)^2 + 2*x + 5)/(a*cosh(x) + a*sinh(x) + a)","A",0
27,1,24,0,0.378969," ","integrate(cosh(x)/(a+a*cosh(x)),x, algorithm=""fricas"")","\frac{x \cosh\left(x\right) + x \sinh\left(x\right) + x + 2}{a \cosh\left(x\right) + a \sinh\left(x\right) + a}"," ",0,"(x*cosh(x) + x*sinh(x) + x + 2)/(a*cosh(x) + a*sinh(x) + a)","A",0
28,1,29,0,0.607042," ","integrate(sech(x)/(a+a*cosh(x)),x, algorithm=""fricas"")","\frac{2 \, {\left({\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + 1\right)}}{a \cosh\left(x\right) + a \sinh\left(x\right) + a}"," ",0,"2*((cosh(x) + sinh(x) + 1)*arctan(cosh(x) + sinh(x)) + 1)/(a*cosh(x) + a*sinh(x) + a)","A",0
29,1,127,0,0.458775," ","integrate(sech(x)^2/(a+a*cosh(x)),x, algorithm=""fricas"")","-\frac{2 \, {\left({\left(\cosh\left(x\right)^{3} + {\left(3 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{2} + \sinh\left(x\right)^{3} + \cosh\left(x\right)^{2} + {\left(3 \, \cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right) + \cosh\left(x\right) + 1\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + \cosh\left(x\right)^{2} + {\left(2 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right) + \sinh\left(x\right)^{2} + \cosh\left(x\right) + 2\right)}}{a \cosh\left(x\right)^{3} + a \sinh\left(x\right)^{3} + a \cosh\left(x\right)^{2} + {\left(3 \, a \cosh\left(x\right) + a\right)} \sinh\left(x\right)^{2} + a \cosh\left(x\right) + {\left(3 \, a \cosh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + a\right)} \sinh\left(x\right) + a}"," ",0,"-2*((cosh(x)^3 + (3*cosh(x) + 1)*sinh(x)^2 + sinh(x)^3 + cosh(x)^2 + (3*cosh(x)^2 + 2*cosh(x) + 1)*sinh(x) + cosh(x) + 1)*arctan(cosh(x) + sinh(x)) + cosh(x)^2 + (2*cosh(x) + 1)*sinh(x) + sinh(x)^2 + cosh(x) + 2)/(a*cosh(x)^3 + a*sinh(x)^3 + a*cosh(x)^2 + (3*a*cosh(x) + a)*sinh(x)^2 + a*cosh(x) + (3*a*cosh(x)^2 + 2*a*cosh(x) + a)*sinh(x) + a)","B",0
30,1,325,0,0.486853," ","integrate(sech(x)^3/(a+a*cosh(x)),x, algorithm=""fricas"")","\frac{3 \, \cosh\left(x\right)^{4} + 3 \, {\left(4 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{3} + 3 \, \sinh\left(x\right)^{4} + 3 \, \cosh\left(x\right)^{3} + {\left(18 \, \cosh\left(x\right)^{2} + 9 \, \cosh\left(x\right) + 5\right)} \sinh\left(x\right)^{2} + 3 \, {\left(\cosh\left(x\right)^{5} + {\left(5 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{4} + \sinh\left(x\right)^{5} + \cosh\left(x\right)^{4} + 2 \, {\left(5 \, \cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{3} + 2 \, \cosh\left(x\right)^{3} + 2 \, {\left(5 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)^{2} + 3 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{2} + 2 \, \cosh\left(x\right)^{2} + {\left(5 \, \cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right)^{3} + 6 \, \cosh\left(x\right)^{2} + 4 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right) + \cosh\left(x\right) + 1\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + 5 \, \cosh\left(x\right)^{2} + {\left(12 \, \cosh\left(x\right)^{3} + 9 \, \cosh\left(x\right)^{2} + 10 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right) + \cosh\left(x\right) + 4}{a \cosh\left(x\right)^{5} + a \sinh\left(x\right)^{5} + a \cosh\left(x\right)^{4} + {\left(5 \, a \cosh\left(x\right) + a\right)} \sinh\left(x\right)^{4} + 2 \, a \cosh\left(x\right)^{3} + 2 \, {\left(5 \, a \cosh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + a\right)} \sinh\left(x\right)^{3} + 2 \, a \cosh\left(x\right)^{2} + 2 \, {\left(5 \, a \cosh\left(x\right)^{3} + 3 \, a \cosh\left(x\right)^{2} + 3 \, a \cosh\left(x\right) + a\right)} \sinh\left(x\right)^{2} + a \cosh\left(x\right) + {\left(5 \, a \cosh\left(x\right)^{4} + 4 \, a \cosh\left(x\right)^{3} + 6 \, a \cosh\left(x\right)^{2} + 4 \, a \cosh\left(x\right) + a\right)} \sinh\left(x\right) + a}"," ",0,"(3*cosh(x)^4 + 3*(4*cosh(x) + 1)*sinh(x)^3 + 3*sinh(x)^4 + 3*cosh(x)^3 + (18*cosh(x)^2 + 9*cosh(x) + 5)*sinh(x)^2 + 3*(cosh(x)^5 + (5*cosh(x) + 1)*sinh(x)^4 + sinh(x)^5 + cosh(x)^4 + 2*(5*cosh(x)^2 + 2*cosh(x) + 1)*sinh(x)^3 + 2*cosh(x)^3 + 2*(5*cosh(x)^3 + 3*cosh(x)^2 + 3*cosh(x) + 1)*sinh(x)^2 + 2*cosh(x)^2 + (5*cosh(x)^4 + 4*cosh(x)^3 + 6*cosh(x)^2 + 4*cosh(x) + 1)*sinh(x) + cosh(x) + 1)*arctan(cosh(x) + sinh(x)) + 5*cosh(x)^2 + (12*cosh(x)^3 + 9*cosh(x)^2 + 10*cosh(x) + 1)*sinh(x) + cosh(x) + 4)/(a*cosh(x)^5 + a*sinh(x)^5 + a*cosh(x)^4 + (5*a*cosh(x) + a)*sinh(x)^4 + 2*a*cosh(x)^3 + 2*(5*a*cosh(x)^2 + 2*a*cosh(x) + a)*sinh(x)^3 + 2*a*cosh(x)^2 + 2*(5*a*cosh(x)^3 + 3*a*cosh(x)^2 + 3*a*cosh(x) + a)*sinh(x)^2 + a*cosh(x) + (5*a*cosh(x)^4 + 4*a*cosh(x)^3 + 6*a*cosh(x)^2 + 4*a*cosh(x) + a)*sinh(x) + a)","B",0
31,1,600,0,0.521830," ","integrate(sech(x)^4/(a+a*cosh(x)),x, algorithm=""fricas"")","-\frac{9 \, \cosh\left(x\right)^{6} + 9 \, {\left(6 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{5} + 9 \, \sinh\left(x\right)^{6} + 9 \, \cosh\left(x\right)^{5} + 3 \, {\left(45 \, \cosh\left(x\right)^{2} + 15 \, \cosh\left(x\right) + 8\right)} \sinh\left(x\right)^{4} + 24 \, \cosh\left(x\right)^{4} + 6 \, {\left(30 \, \cosh\left(x\right)^{3} + 15 \, \cosh\left(x\right)^{2} + 16 \, \cosh\left(x\right) + 4\right)} \sinh\left(x\right)^{3} + 24 \, \cosh\left(x\right)^{3} + 3 \, {\left(45 \, \cosh\left(x\right)^{4} + 30 \, \cosh\left(x\right)^{3} + 48 \, \cosh\left(x\right)^{2} + 24 \, \cosh\left(x\right) + 13\right)} \sinh\left(x\right)^{2} + 9 \, {\left(\cosh\left(x\right)^{7} + {\left(7 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{6} + \sinh\left(x\right)^{7} + \cosh\left(x\right)^{6} + 3 \, {\left(7 \, \cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{5} + 3 \, \cosh\left(x\right)^{5} + {\left(35 \, \cosh\left(x\right)^{3} + 15 \, \cosh\left(x\right)^{2} + 15 \, \cosh\left(x\right) + 3\right)} \sinh\left(x\right)^{4} + 3 \, \cosh\left(x\right)^{4} + {\left(35 \, \cosh\left(x\right)^{4} + 20 \, \cosh\left(x\right)^{3} + 30 \, \cosh\left(x\right)^{2} + 12 \, \cosh\left(x\right) + 3\right)} \sinh\left(x\right)^{3} + 3 \, \cosh\left(x\right)^{3} + 3 \, {\left(7 \, \cosh\left(x\right)^{5} + 5 \, \cosh\left(x\right)^{4} + 10 \, \cosh\left(x\right)^{3} + 6 \, \cosh\left(x\right)^{2} + 3 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{2} + 3 \, \cosh\left(x\right)^{2} + {\left(7 \, \cosh\left(x\right)^{6} + 6 \, \cosh\left(x\right)^{5} + 15 \, \cosh\left(x\right)^{4} + 12 \, \cosh\left(x\right)^{3} + 9 \, \cosh\left(x\right)^{2} + 6 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right) + \cosh\left(x\right) + 1\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + 39 \, \cosh\left(x\right)^{2} + {\left(54 \, \cosh\left(x\right)^{5} + 45 \, \cosh\left(x\right)^{4} + 96 \, \cosh\left(x\right)^{3} + 72 \, \cosh\left(x\right)^{2} + 78 \, \cosh\left(x\right) + 7\right)} \sinh\left(x\right) + 7 \, \cosh\left(x\right) + 16}{3 \, {\left(a \cosh\left(x\right)^{7} + a \sinh\left(x\right)^{7} + a \cosh\left(x\right)^{6} + {\left(7 \, a \cosh\left(x\right) + a\right)} \sinh\left(x\right)^{6} + 3 \, a \cosh\left(x\right)^{5} + 3 \, {\left(7 \, a \cosh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + a\right)} \sinh\left(x\right)^{5} + 3 \, a \cosh\left(x\right)^{4} + {\left(35 \, a \cosh\left(x\right)^{3} + 15 \, a \cosh\left(x\right)^{2} + 15 \, a \cosh\left(x\right) + 3 \, a\right)} \sinh\left(x\right)^{4} + 3 \, a \cosh\left(x\right)^{3} + {\left(35 \, a \cosh\left(x\right)^{4} + 20 \, a \cosh\left(x\right)^{3} + 30 \, a \cosh\left(x\right)^{2} + 12 \, a \cosh\left(x\right) + 3 \, a\right)} \sinh\left(x\right)^{3} + 3 \, a \cosh\left(x\right)^{2} + 3 \, {\left(7 \, a \cosh\left(x\right)^{5} + 5 \, a \cosh\left(x\right)^{4} + 10 \, a \cosh\left(x\right)^{3} + 6 \, a \cosh\left(x\right)^{2} + 3 \, a \cosh\left(x\right) + a\right)} \sinh\left(x\right)^{2} + a \cosh\left(x\right) + {\left(7 \, a \cosh\left(x\right)^{6} + 6 \, a \cosh\left(x\right)^{5} + 15 \, a \cosh\left(x\right)^{4} + 12 \, a \cosh\left(x\right)^{3} + 9 \, a \cosh\left(x\right)^{2} + 6 \, a \cosh\left(x\right) + a\right)} \sinh\left(x\right) + a\right)}}"," ",0,"-1/3*(9*cosh(x)^6 + 9*(6*cosh(x) + 1)*sinh(x)^5 + 9*sinh(x)^6 + 9*cosh(x)^5 + 3*(45*cosh(x)^2 + 15*cosh(x) + 8)*sinh(x)^4 + 24*cosh(x)^4 + 6*(30*cosh(x)^3 + 15*cosh(x)^2 + 16*cosh(x) + 4)*sinh(x)^3 + 24*cosh(x)^3 + 3*(45*cosh(x)^4 + 30*cosh(x)^3 + 48*cosh(x)^2 + 24*cosh(x) + 13)*sinh(x)^2 + 9*(cosh(x)^7 + (7*cosh(x) + 1)*sinh(x)^6 + sinh(x)^7 + cosh(x)^6 + 3*(7*cosh(x)^2 + 2*cosh(x) + 1)*sinh(x)^5 + 3*cosh(x)^5 + (35*cosh(x)^3 + 15*cosh(x)^2 + 15*cosh(x) + 3)*sinh(x)^4 + 3*cosh(x)^4 + (35*cosh(x)^4 + 20*cosh(x)^3 + 30*cosh(x)^2 + 12*cosh(x) + 3)*sinh(x)^3 + 3*cosh(x)^3 + 3*(7*cosh(x)^5 + 5*cosh(x)^4 + 10*cosh(x)^3 + 6*cosh(x)^2 + 3*cosh(x) + 1)*sinh(x)^2 + 3*cosh(x)^2 + (7*cosh(x)^6 + 6*cosh(x)^5 + 15*cosh(x)^4 + 12*cosh(x)^3 + 9*cosh(x)^2 + 6*cosh(x) + 1)*sinh(x) + cosh(x) + 1)*arctan(cosh(x) + sinh(x)) + 39*cosh(x)^2 + (54*cosh(x)^5 + 45*cosh(x)^4 + 96*cosh(x)^3 + 72*cosh(x)^2 + 78*cosh(x) + 7)*sinh(x) + 7*cosh(x) + 16)/(a*cosh(x)^7 + a*sinh(x)^7 + a*cosh(x)^6 + (7*a*cosh(x) + a)*sinh(x)^6 + 3*a*cosh(x)^5 + 3*(7*a*cosh(x)^2 + 2*a*cosh(x) + a)*sinh(x)^5 + 3*a*cosh(x)^4 + (35*a*cosh(x)^3 + 15*a*cosh(x)^2 + 15*a*cosh(x) + 3*a)*sinh(x)^4 + 3*a*cosh(x)^3 + (35*a*cosh(x)^4 + 20*a*cosh(x)^3 + 30*a*cosh(x)^2 + 12*a*cosh(x) + 3*a)*sinh(x)^3 + 3*a*cosh(x)^2 + 3*(7*a*cosh(x)^5 + 5*a*cosh(x)^4 + 10*a*cosh(x)^3 + 6*a*cosh(x)^2 + 3*a*cosh(x) + a)*sinh(x)^2 + a*cosh(x) + (7*a*cosh(x)^6 + 6*a*cosh(x)^5 + 15*a*cosh(x)^4 + 12*a*cosh(x)^3 + 9*a*cosh(x)^2 + 6*a*cosh(x) + a)*sinh(x) + a)","B",0
32,1,22,0,0.426848," ","integrate(1/(1+cosh(d*x+c)),x, algorithm=""fricas"")","-\frac{2}{d \cosh\left(d x + c\right) + d \sinh\left(d x + c\right) + d}"," ",0,"-2/(d*cosh(d*x + c) + d*sinh(d*x + c) + d)","A",0
33,1,113,0,0.449260," ","integrate(1/(1+cosh(d*x+c))^2,x, algorithm=""fricas"")","-\frac{2 \, {\left(3 \, \cosh\left(d x + c\right) + 3 \, \sinh\left(d x + c\right) + 1\right)}}{3 \, {\left(d \cosh\left(d x + c\right)^{3} + d \sinh\left(d x + c\right)^{3} + 3 \, d \cosh\left(d x + c\right)^{2} + 3 \, {\left(d \cosh\left(d x + c\right) + d\right)} \sinh\left(d x + c\right)^{2} + 3 \, d \cosh\left(d x + c\right) + 3 \, {\left(d \cosh\left(d x + c\right)^{2} + 2 \, d \cosh\left(d x + c\right) + d\right)} \sinh\left(d x + c\right) + d\right)}}"," ",0,"-2/3*(3*cosh(d*x + c) + 3*sinh(d*x + c) + 1)/(d*cosh(d*x + c)^3 + d*sinh(d*x + c)^3 + 3*d*cosh(d*x + c)^2 + 3*(d*cosh(d*x + c) + d)*sinh(d*x + c)^2 + 3*d*cosh(d*x + c) + 3*(d*cosh(d*x + c)^2 + 2*d*cosh(d*x + c) + d)*sinh(d*x + c) + d)","B",0
34,1,174,0,0.500681," ","integrate(1/(1+cosh(d*x+c))^3,x, algorithm=""fricas"")","-\frac{4 \, {\left(11 \, \cosh\left(d x + c\right) + 9 \, \sinh\left(d x + c\right) + 5\right)}}{15 \, {\left(d \cosh\left(d x + c\right)^{4} + d \sinh\left(d x + c\right)^{4} + 5 \, d \cosh\left(d x + c\right)^{3} + {\left(4 \, d \cosh\left(d x + c\right) + 5 \, d\right)} \sinh\left(d x + c\right)^{3} + 10 \, d \cosh\left(d x + c\right)^{2} + {\left(6 \, d \cosh\left(d x + c\right)^{2} + 15 \, d \cosh\left(d x + c\right) + 10 \, d\right)} \sinh\left(d x + c\right)^{2} + 11 \, d \cosh\left(d x + c\right) + {\left(4 \, d \cosh\left(d x + c\right)^{3} + 15 \, d \cosh\left(d x + c\right)^{2} + 20 \, d \cosh\left(d x + c\right) + 9 \, d\right)} \sinh\left(d x + c\right) + 5 \, d\right)}}"," ",0,"-4/15*(11*cosh(d*x + c) + 9*sinh(d*x + c) + 5)/(d*cosh(d*x + c)^4 + d*sinh(d*x + c)^4 + 5*d*cosh(d*x + c)^3 + (4*d*cosh(d*x + c) + 5*d)*sinh(d*x + c)^3 + 10*d*cosh(d*x + c)^2 + (6*d*cosh(d*x + c)^2 + 15*d*cosh(d*x + c) + 10*d)*sinh(d*x + c)^2 + 11*d*cosh(d*x + c) + (4*d*cosh(d*x + c)^3 + 15*d*cosh(d*x + c)^2 + 20*d*cosh(d*x + c) + 9*d)*sinh(d*x + c) + 5*d)","B",0
35,1,347,0,0.522428," ","integrate(1/(1+cosh(d*x+c))^4,x, algorithm=""fricas"")","-\frac{4 \, {\left(35 \, \cosh\left(d x + c\right)^{2} + 10 \, {\left(7 \, \cosh\left(d x + c\right) + 2\right)} \sinh\left(d x + c\right) + 35 \, \sinh\left(d x + c\right)^{2} + 22 \, \cosh\left(d x + c\right) + 7\right)}}{35 \, {\left(d \cosh\left(d x + c\right)^{6} + d \sinh\left(d x + c\right)^{6} + 7 \, d \cosh\left(d x + c\right)^{5} + {\left(6 \, d \cosh\left(d x + c\right) + 7 \, d\right)} \sinh\left(d x + c\right)^{5} + 21 \, d \cosh\left(d x + c\right)^{4} + {\left(15 \, d \cosh\left(d x + c\right)^{2} + 35 \, d \cosh\left(d x + c\right) + 21 \, d\right)} \sinh\left(d x + c\right)^{4} + 35 \, d \cosh\left(d x + c\right)^{3} + {\left(20 \, d \cosh\left(d x + c\right)^{3} + 70 \, d \cosh\left(d x + c\right)^{2} + 84 \, d \cosh\left(d x + c\right) + 35 \, d\right)} \sinh\left(d x + c\right)^{3} + 35 \, d \cosh\left(d x + c\right)^{2} + {\left(15 \, d \cosh\left(d x + c\right)^{4} + 70 \, d \cosh\left(d x + c\right)^{3} + 126 \, d \cosh\left(d x + c\right)^{2} + 105 \, d \cosh\left(d x + c\right) + 35 \, d\right)} \sinh\left(d x + c\right)^{2} + 22 \, d \cosh\left(d x + c\right) + {\left(6 \, d \cosh\left(d x + c\right)^{5} + 35 \, d \cosh\left(d x + c\right)^{4} + 84 \, d \cosh\left(d x + c\right)^{3} + 105 \, d \cosh\left(d x + c\right)^{2} + 70 \, d \cosh\left(d x + c\right) + 20 \, d\right)} \sinh\left(d x + c\right) + 7 \, d\right)}}"," ",0,"-4/35*(35*cosh(d*x + c)^2 + 10*(7*cosh(d*x + c) + 2)*sinh(d*x + c) + 35*sinh(d*x + c)^2 + 22*cosh(d*x + c) + 7)/(d*cosh(d*x + c)^6 + d*sinh(d*x + c)^6 + 7*d*cosh(d*x + c)^5 + (6*d*cosh(d*x + c) + 7*d)*sinh(d*x + c)^5 + 21*d*cosh(d*x + c)^4 + (15*d*cosh(d*x + c)^2 + 35*d*cosh(d*x + c) + 21*d)*sinh(d*x + c)^4 + 35*d*cosh(d*x + c)^3 + (20*d*cosh(d*x + c)^3 + 70*d*cosh(d*x + c)^2 + 84*d*cosh(d*x + c) + 35*d)*sinh(d*x + c)^3 + 35*d*cosh(d*x + c)^2 + (15*d*cosh(d*x + c)^4 + 70*d*cosh(d*x + c)^3 + 126*d*cosh(d*x + c)^2 + 105*d*cosh(d*x + c) + 35*d)*sinh(d*x + c)^2 + 22*d*cosh(d*x + c) + (6*d*cosh(d*x + c)^5 + 35*d*cosh(d*x + c)^4 + 84*d*cosh(d*x + c)^3 + 105*d*cosh(d*x + c)^2 + 70*d*cosh(d*x + c) + 20*d)*sinh(d*x + c) + 7*d)","B",0
36,1,24,0,0.584033," ","integrate(1/(1-cosh(d*x+c)),x, algorithm=""fricas"")","\frac{2}{d \cosh\left(d x + c\right) + d \sinh\left(d x + c\right) - d}"," ",0,"2/(d*cosh(d*x + c) + d*sinh(d*x + c) - d)","A",0
37,1,117,0,0.768371," ","integrate(1/(1-cosh(d*x+c))^2,x, algorithm=""fricas"")","-\frac{2 \, {\left(3 \, \cosh\left(d x + c\right) + 3 \, \sinh\left(d x + c\right) - 1\right)}}{3 \, {\left(d \cosh\left(d x + c\right)^{3} + d \sinh\left(d x + c\right)^{3} - 3 \, d \cosh\left(d x + c\right)^{2} + 3 \, {\left(d \cosh\left(d x + c\right) - d\right)} \sinh\left(d x + c\right)^{2} + 3 \, d \cosh\left(d x + c\right) + 3 \, {\left(d \cosh\left(d x + c\right)^{2} - 2 \, d \cosh\left(d x + c\right) + d\right)} \sinh\left(d x + c\right) - d\right)}}"," ",0,"-2/3*(3*cosh(d*x + c) + 3*sinh(d*x + c) - 1)/(d*cosh(d*x + c)^3 + d*sinh(d*x + c)^3 - 3*d*cosh(d*x + c)^2 + 3*(d*cosh(d*x + c) - d)*sinh(d*x + c)^2 + 3*d*cosh(d*x + c) + 3*(d*cosh(d*x + c)^2 - 2*d*cosh(d*x + c) + d)*sinh(d*x + c) - d)","B",0
38,1,174,0,0.484587," ","integrate(1/(1-cosh(d*x+c))^3,x, algorithm=""fricas"")","\frac{4 \, {\left(11 \, \cosh\left(d x + c\right) + 9 \, \sinh\left(d x + c\right) - 5\right)}}{15 \, {\left(d \cosh\left(d x + c\right)^{4} + d \sinh\left(d x + c\right)^{4} - 5 \, d \cosh\left(d x + c\right)^{3} + {\left(4 \, d \cosh\left(d x + c\right) - 5 \, d\right)} \sinh\left(d x + c\right)^{3} + 10 \, d \cosh\left(d x + c\right)^{2} + {\left(6 \, d \cosh\left(d x + c\right)^{2} - 15 \, d \cosh\left(d x + c\right) + 10 \, d\right)} \sinh\left(d x + c\right)^{2} - 11 \, d \cosh\left(d x + c\right) + {\left(4 \, d \cosh\left(d x + c\right)^{3} - 15 \, d \cosh\left(d x + c\right)^{2} + 20 \, d \cosh\left(d x + c\right) - 9 \, d\right)} \sinh\left(d x + c\right) + 5 \, d\right)}}"," ",0,"4/15*(11*cosh(d*x + c) + 9*sinh(d*x + c) - 5)/(d*cosh(d*x + c)^4 + d*sinh(d*x + c)^4 - 5*d*cosh(d*x + c)^3 + (4*d*cosh(d*x + c) - 5*d)*sinh(d*x + c)^3 + 10*d*cosh(d*x + c)^2 + (6*d*cosh(d*x + c)^2 - 15*d*cosh(d*x + c) + 10*d)*sinh(d*x + c)^2 - 11*d*cosh(d*x + c) + (4*d*cosh(d*x + c)^3 - 15*d*cosh(d*x + c)^2 + 20*d*cosh(d*x + c) - 9*d)*sinh(d*x + c) + 5*d)","B",0
39,1,347,0,0.543516," ","integrate(1/(1-cosh(d*x+c))^4,x, algorithm=""fricas"")","-\frac{4 \, {\left(35 \, \cosh\left(d x + c\right)^{2} + 10 \, {\left(7 \, \cosh\left(d x + c\right) - 2\right)} \sinh\left(d x + c\right) + 35 \, \sinh\left(d x + c\right)^{2} - 22 \, \cosh\left(d x + c\right) + 7\right)}}{35 \, {\left(d \cosh\left(d x + c\right)^{6} + d \sinh\left(d x + c\right)^{6} - 7 \, d \cosh\left(d x + c\right)^{5} + {\left(6 \, d \cosh\left(d x + c\right) - 7 \, d\right)} \sinh\left(d x + c\right)^{5} + 21 \, d \cosh\left(d x + c\right)^{4} + {\left(15 \, d \cosh\left(d x + c\right)^{2} - 35 \, d \cosh\left(d x + c\right) + 21 \, d\right)} \sinh\left(d x + c\right)^{4} - 35 \, d \cosh\left(d x + c\right)^{3} + {\left(20 \, d \cosh\left(d x + c\right)^{3} - 70 \, d \cosh\left(d x + c\right)^{2} + 84 \, d \cosh\left(d x + c\right) - 35 \, d\right)} \sinh\left(d x + c\right)^{3} + 35 \, d \cosh\left(d x + c\right)^{2} + {\left(15 \, d \cosh\left(d x + c\right)^{4} - 70 \, d \cosh\left(d x + c\right)^{3} + 126 \, d \cosh\left(d x + c\right)^{2} - 105 \, d \cosh\left(d x + c\right) + 35 \, d\right)} \sinh\left(d x + c\right)^{2} - 22 \, d \cosh\left(d x + c\right) + {\left(6 \, d \cosh\left(d x + c\right)^{5} - 35 \, d \cosh\left(d x + c\right)^{4} + 84 \, d \cosh\left(d x + c\right)^{3} - 105 \, d \cosh\left(d x + c\right)^{2} + 70 \, d \cosh\left(d x + c\right) - 20 \, d\right)} \sinh\left(d x + c\right) + 7 \, d\right)}}"," ",0,"-4/35*(35*cosh(d*x + c)^2 + 10*(7*cosh(d*x + c) - 2)*sinh(d*x + c) + 35*sinh(d*x + c)^2 - 22*cosh(d*x + c) + 7)/(d*cosh(d*x + c)^6 + d*sinh(d*x + c)^6 - 7*d*cosh(d*x + c)^5 + (6*d*cosh(d*x + c) - 7*d)*sinh(d*x + c)^5 + 21*d*cosh(d*x + c)^4 + (15*d*cosh(d*x + c)^2 - 35*d*cosh(d*x + c) + 21*d)*sinh(d*x + c)^4 - 35*d*cosh(d*x + c)^3 + (20*d*cosh(d*x + c)^3 - 70*d*cosh(d*x + c)^2 + 84*d*cosh(d*x + c) - 35*d)*sinh(d*x + c)^3 + 35*d*cosh(d*x + c)^2 + (15*d*cosh(d*x + c)^4 - 70*d*cosh(d*x + c)^3 + 126*d*cosh(d*x + c)^2 - 105*d*cosh(d*x + c) + 35*d)*sinh(d*x + c)^2 - 22*d*cosh(d*x + c) + (6*d*cosh(d*x + c)^5 - 35*d*cosh(d*x + c)^4 + 84*d*cosh(d*x + c)^3 - 105*d*cosh(d*x + c)^2 + 70*d*cosh(d*x + c) - 20*d)*sinh(d*x + c) + 7*d)","B",0
40,1,62,0,0.520294," ","integrate(cosh(x)/(a+a*cosh(x))^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(\sqrt{\frac{1}{2}} \sqrt{\frac{a}{\cosh\left(x\right) + \sinh\left(x\right)}} {\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right)} - \sqrt{2} \sqrt{a} \arctan\left(\frac{\sqrt{2} \sqrt{\frac{1}{2}} \sqrt{\frac{a}{\cosh\left(x\right) + \sinh\left(x\right)}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}{\sqrt{a}}\right)\right)}}{a}"," ",0,"2*(sqrt(1/2)*sqrt(a/(cosh(x) + sinh(x)))*(cosh(x) + sinh(x) - 1) - sqrt(2)*sqrt(a)*arctan(sqrt(2)*sqrt(1/2)*sqrt(a/(cosh(x) + sinh(x)))*(cosh(x) + sinh(x))/sqrt(a)))/a","A",0
41,1,92,0,0.552975," ","integrate(cosh(x)/(a-a*cosh(x))^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{2} a \sqrt{-\frac{1}{a}} \log\left(\frac{2 \, \sqrt{2} \sqrt{\frac{1}{2}} \sqrt{-\frac{a}{\cosh\left(x\right) + \sinh\left(x\right)}} \sqrt{-\frac{1}{a}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} - \cosh\left(x\right) - \sinh\left(x\right) - 1}{\cosh\left(x\right) + \sinh\left(x\right) - 1}\right) - 2 \, \sqrt{\frac{1}{2}} \sqrt{-\frac{a}{\cosh\left(x\right) + \sinh\left(x\right)}} {\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right)}}{a}"," ",0,"(sqrt(2)*a*sqrt(-1/a)*log((2*sqrt(2)*sqrt(1/2)*sqrt(-a/(cosh(x) + sinh(x)))*sqrt(-1/a)*(cosh(x) + sinh(x)) - cosh(x) - sinh(x) - 1)/(cosh(x) + sinh(x) - 1)) - 2*sqrt(1/2)*sqrt(-a/(cosh(x) + sinh(x)))*(cosh(x) + sinh(x) + 1))/a","B",0
42,1,327,0,0.612164," ","integrate((a+a*cosh(d*x+c))^(5/2),x, algorithm=""fricas"")","\frac{\sqrt{\frac{1}{2}} {\left(3 \, a^{2} \cosh\left(d x + c\right)^{5} + 3 \, a^{2} \sinh\left(d x + c\right)^{5} + 25 \, a^{2} \cosh\left(d x + c\right)^{4} + 150 \, a^{2} \cosh\left(d x + c\right)^{3} + 5 \, {\left(3 \, a^{2} \cosh\left(d x + c\right) + 5 \, a^{2}\right)} \sinh\left(d x + c\right)^{4} - 150 \, a^{2} \cosh\left(d x + c\right)^{2} + 10 \, {\left(3 \, a^{2} \cosh\left(d x + c\right)^{2} + 10 \, a^{2} \cosh\left(d x + c\right) + 15 \, a^{2}\right)} \sinh\left(d x + c\right)^{3} - 25 \, a^{2} \cosh\left(d x + c\right) + 30 \, {\left(a^{2} \cosh\left(d x + c\right)^{3} + 5 \, a^{2} \cosh\left(d x + c\right)^{2} + 15 \, a^{2} \cosh\left(d x + c\right) - 5 \, a^{2}\right)} \sinh\left(d x + c\right)^{2} - 3 \, a^{2} + 5 \, {\left(3 \, a^{2} \cosh\left(d x + c\right)^{4} + 20 \, a^{2} \cosh\left(d x + c\right)^{3} + 90 \, a^{2} \cosh\left(d x + c\right)^{2} - 60 \, a^{2} \cosh\left(d x + c\right) - 5 \, a^{2}\right)} \sinh\left(d x + c\right)\right)} \sqrt{\frac{a}{\cosh\left(d x + c\right) + \sinh\left(d x + c\right)}}}{30 \, {\left(d \cosh\left(d x + c\right)^{2} + 2 \, d \cosh\left(d x + c\right) \sinh\left(d x + c\right) + d \sinh\left(d x + c\right)^{2}\right)}}"," ",0,"1/30*sqrt(1/2)*(3*a^2*cosh(d*x + c)^5 + 3*a^2*sinh(d*x + c)^5 + 25*a^2*cosh(d*x + c)^4 + 150*a^2*cosh(d*x + c)^3 + 5*(3*a^2*cosh(d*x + c) + 5*a^2)*sinh(d*x + c)^4 - 150*a^2*cosh(d*x + c)^2 + 10*(3*a^2*cosh(d*x + c)^2 + 10*a^2*cosh(d*x + c) + 15*a^2)*sinh(d*x + c)^3 - 25*a^2*cosh(d*x + c) + 30*(a^2*cosh(d*x + c)^3 + 5*a^2*cosh(d*x + c)^2 + 15*a^2*cosh(d*x + c) - 5*a^2)*sinh(d*x + c)^2 - 3*a^2 + 5*(3*a^2*cosh(d*x + c)^4 + 20*a^2*cosh(d*x + c)^3 + 90*a^2*cosh(d*x + c)^2 - 60*a^2*cosh(d*x + c) - 5*a^2)*sinh(d*x + c))*sqrt(a/(cosh(d*x + c) + sinh(d*x + c)))/(d*cosh(d*x + c)^2 + 2*d*cosh(d*x + c)*sinh(d*x + c) + d*sinh(d*x + c)^2)","B",0
43,1,140,0,0.459724," ","integrate((a+a*cosh(d*x+c))^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{\frac{1}{2}} {\left(a \cosh\left(d x + c\right)^{3} + a \sinh\left(d x + c\right)^{3} + 9 \, a \cosh\left(d x + c\right)^{2} + 3 \, {\left(a \cosh\left(d x + c\right) + 3 \, a\right)} \sinh\left(d x + c\right)^{2} - 9 \, a \cosh\left(d x + c\right) + 3 \, {\left(a \cosh\left(d x + c\right)^{2} + 6 \, a \cosh\left(d x + c\right) - 3 \, a\right)} \sinh\left(d x + c\right) - a\right)} \sqrt{\frac{a}{\cosh\left(d x + c\right) + \sinh\left(d x + c\right)}}}{3 \, {\left(d \cosh\left(d x + c\right) + d \sinh\left(d x + c\right)\right)}}"," ",0,"1/3*sqrt(1/2)*(a*cosh(d*x + c)^3 + a*sinh(d*x + c)^3 + 9*a*cosh(d*x + c)^2 + 3*(a*cosh(d*x + c) + 3*a)*sinh(d*x + c)^2 - 9*a*cosh(d*x + c) + 3*(a*cosh(d*x + c)^2 + 6*a*cosh(d*x + c) - 3*a)*sinh(d*x + c) - a)*sqrt(a/(cosh(d*x + c) + sinh(d*x + c)))/(d*cosh(d*x + c) + d*sinh(d*x + c))","B",0
44,1,41,0,0.496458," ","integrate((a+a*cosh(d*x+c))^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{\frac{a}{\cosh\left(d x + c\right) + \sinh\left(d x + c\right)}} {\left(\cosh\left(d x + c\right) + \sinh\left(d x + c\right) - 1\right)}}{d}"," ",0,"2*sqrt(1/2)*sqrt(a/(cosh(d*x + c) + sinh(d*x + c)))*(cosh(d*x + c) + sinh(d*x + c) - 1)/d","A",0
45,1,149,0,0.777458," ","integrate(1/(a+a*cosh(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{2} \sqrt{-\frac{1}{a}} \log\left(-\frac{2 \, \sqrt{2} \sqrt{\frac{1}{2}} \sqrt{\frac{a}{\cosh\left(d x + c\right) + \sinh\left(d x + c\right)}} \sqrt{-\frac{1}{a}} {\left(\cosh\left(d x + c\right) + \sinh\left(d x + c\right)\right)} + \cosh\left(d x + c\right) + \sinh\left(d x + c\right) - 1}{\cosh\left(d x + c\right) + \sinh\left(d x + c\right) + 1}\right)}{d}, \frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} \sqrt{\frac{1}{2}} \sqrt{\frac{a}{\cosh\left(d x + c\right) + \sinh\left(d x + c\right)}} {\left(\cosh\left(d x + c\right) + \sinh\left(d x + c\right)\right)}}{\sqrt{a}}\right)}{\sqrt{a} d}\right]"," ",0,"[sqrt(2)*sqrt(-1/a)*log(-(2*sqrt(2)*sqrt(1/2)*sqrt(a/(cosh(d*x + c) + sinh(d*x + c)))*sqrt(-1/a)*(cosh(d*x + c) + sinh(d*x + c)) + cosh(d*x + c) + sinh(d*x + c) - 1)/(cosh(d*x + c) + sinh(d*x + c) + 1))/d, 2*sqrt(2)*arctan(sqrt(2)*sqrt(1/2)*sqrt(a/(cosh(d*x + c) + sinh(d*x + c)))*(cosh(d*x + c) + sinh(d*x + c))/sqrt(a))/(sqrt(a)*d)]","A",0
46,1,219,0,0.529256," ","integrate(1/(a+a*cosh(d*x+c))^(3/2),x, algorithm=""fricas"")","-\frac{\sqrt{2} {\left(\cosh\left(d x + c\right)^{2} + 2 \, {\left(\cosh\left(d x + c\right) + 1\right)} \sinh\left(d x + c\right) + \sinh\left(d x + c\right)^{2} + 2 \, \cosh\left(d x + c\right) + 1\right)} \sqrt{a} \arctan\left(\frac{\sqrt{2} \sqrt{\frac{1}{2}} \sqrt{\frac{a}{\cosh\left(d x + c\right) + \sinh\left(d x + c\right)}}}{\sqrt{a}}\right) - 2 \, \sqrt{\frac{1}{2}} {\left(\cosh\left(d x + c\right)^{2} + {\left(2 \, \cosh\left(d x + c\right) - 1\right)} \sinh\left(d x + c\right) + \sinh\left(d x + c\right)^{2} - \cosh\left(d x + c\right)\right)} \sqrt{\frac{a}{\cosh\left(d x + c\right) + \sinh\left(d x + c\right)}}}{2 \, {\left(a^{2} d \cosh\left(d x + c\right)^{2} + a^{2} d \sinh\left(d x + c\right)^{2} + 2 \, a^{2} d \cosh\left(d x + c\right) + a^{2} d + 2 \, {\left(a^{2} d \cosh\left(d x + c\right) + a^{2} d\right)} \sinh\left(d x + c\right)\right)}}"," ",0,"-1/2*(sqrt(2)*(cosh(d*x + c)^2 + 2*(cosh(d*x + c) + 1)*sinh(d*x + c) + sinh(d*x + c)^2 + 2*cosh(d*x + c) + 1)*sqrt(a)*arctan(sqrt(2)*sqrt(1/2)*sqrt(a/(cosh(d*x + c) + sinh(d*x + c)))/sqrt(a)) - 2*sqrt(1/2)*(cosh(d*x + c)^2 + (2*cosh(d*x + c) - 1)*sinh(d*x + c) + sinh(d*x + c)^2 - cosh(d*x + c))*sqrt(a/(cosh(d*x + c) + sinh(d*x + c))))/(a^2*d*cosh(d*x + c)^2 + a^2*d*sinh(d*x + c)^2 + 2*a^2*d*cosh(d*x + c) + a^2*d + 2*(a^2*d*cosh(d*x + c) + a^2*d)*sinh(d*x + c))","B",0
47,1,522,0,0.419014," ","integrate(1/(a+a*cosh(d*x+c))^(5/2),x, algorithm=""fricas"")","-\frac{3 \, \sqrt{2} {\left(\cosh\left(d x + c\right)^{4} + 4 \, {\left(\cosh\left(d x + c\right) + 1\right)} \sinh\left(d x + c\right)^{3} + \sinh\left(d x + c\right)^{4} + 4 \, \cosh\left(d x + c\right)^{3} + 6 \, {\left(\cosh\left(d x + c\right)^{2} + 2 \, \cosh\left(d x + c\right) + 1\right)} \sinh\left(d x + c\right)^{2} + 6 \, \cosh\left(d x + c\right)^{2} + 4 \, {\left(\cosh\left(d x + c\right)^{3} + 3 \, \cosh\left(d x + c\right)^{2} + 3 \, \cosh\left(d x + c\right) + 1\right)} \sinh\left(d x + c\right) + 4 \, \cosh\left(d x + c\right) + 1\right)} \sqrt{a} \arctan\left(\frac{\sqrt{2} \sqrt{\frac{1}{2}} \sqrt{\frac{a}{\cosh\left(d x + c\right) + \sinh\left(d x + c\right)}}}{\sqrt{a}}\right) - 2 \, \sqrt{\frac{1}{2}} {\left(3 \, \cosh\left(d x + c\right)^{4} + {\left(12 \, \cosh\left(d x + c\right) + 11\right)} \sinh\left(d x + c\right)^{3} + 3 \, \sinh\left(d x + c\right)^{4} + 11 \, \cosh\left(d x + c\right)^{3} + {\left(18 \, \cosh\left(d x + c\right)^{2} + 33 \, \cosh\left(d x + c\right) - 11\right)} \sinh\left(d x + c\right)^{2} - 11 \, \cosh\left(d x + c\right)^{2} + {\left(12 \, \cosh\left(d x + c\right)^{3} + 33 \, \cosh\left(d x + c\right)^{2} - 22 \, \cosh\left(d x + c\right) - 3\right)} \sinh\left(d x + c\right) - 3 \, \cosh\left(d x + c\right)\right)} \sqrt{\frac{a}{\cosh\left(d x + c\right) + \sinh\left(d x + c\right)}}}{16 \, {\left(a^{3} d \cosh\left(d x + c\right)^{4} + a^{3} d \sinh\left(d x + c\right)^{4} + 4 \, a^{3} d \cosh\left(d x + c\right)^{3} + 6 \, a^{3} d \cosh\left(d x + c\right)^{2} + 4 \, a^{3} d \cosh\left(d x + c\right) + a^{3} d + 4 \, {\left(a^{3} d \cosh\left(d x + c\right) + a^{3} d\right)} \sinh\left(d x + c\right)^{3} + 6 \, {\left(a^{3} d \cosh\left(d x + c\right)^{2} + 2 \, a^{3} d \cosh\left(d x + c\right) + a^{3} d\right)} \sinh\left(d x + c\right)^{2} + 4 \, {\left(a^{3} d \cosh\left(d x + c\right)^{3} + 3 \, a^{3} d \cosh\left(d x + c\right)^{2} + 3 \, a^{3} d \cosh\left(d x + c\right) + a^{3} d\right)} \sinh\left(d x + c\right)\right)}}"," ",0,"-1/16*(3*sqrt(2)*(cosh(d*x + c)^4 + 4*(cosh(d*x + c) + 1)*sinh(d*x + c)^3 + sinh(d*x + c)^4 + 4*cosh(d*x + c)^3 + 6*(cosh(d*x + c)^2 + 2*cosh(d*x + c) + 1)*sinh(d*x + c)^2 + 6*cosh(d*x + c)^2 + 4*(cosh(d*x + c)^3 + 3*cosh(d*x + c)^2 + 3*cosh(d*x + c) + 1)*sinh(d*x + c) + 4*cosh(d*x + c) + 1)*sqrt(a)*arctan(sqrt(2)*sqrt(1/2)*sqrt(a/(cosh(d*x + c) + sinh(d*x + c)))/sqrt(a)) - 2*sqrt(1/2)*(3*cosh(d*x + c)^4 + (12*cosh(d*x + c) + 11)*sinh(d*x + c)^3 + 3*sinh(d*x + c)^4 + 11*cosh(d*x + c)^3 + (18*cosh(d*x + c)^2 + 33*cosh(d*x + c) - 11)*sinh(d*x + c)^2 - 11*cosh(d*x + c)^2 + (12*cosh(d*x + c)^3 + 33*cosh(d*x + c)^2 - 22*cosh(d*x + c) - 3)*sinh(d*x + c) - 3*cosh(d*x + c))*sqrt(a/(cosh(d*x + c) + sinh(d*x + c))))/(a^3*d*cosh(d*x + c)^4 + a^3*d*sinh(d*x + c)^4 + 4*a^3*d*cosh(d*x + c)^3 + 6*a^3*d*cosh(d*x + c)^2 + 4*a^3*d*cosh(d*x + c) + a^3*d + 4*(a^3*d*cosh(d*x + c) + a^3*d)*sinh(d*x + c)^3 + 6*(a^3*d*cosh(d*x + c)^2 + 2*a^3*d*cosh(d*x + c) + a^3*d)*sinh(d*x + c)^2 + 4*(a^3*d*cosh(d*x + c)^3 + 3*a^3*d*cosh(d*x + c)^2 + 3*a^3*d*cosh(d*x + c) + a^3*d)*sinh(d*x + c))","B",0
48,1,328,0,0.511443," ","integrate((a-a*cosh(d*x+c))^(5/2),x, algorithm=""fricas"")","\frac{\sqrt{\frac{1}{2}} {\left(3 \, a^{2} \cosh\left(d x + c\right)^{5} + 3 \, a^{2} \sinh\left(d x + c\right)^{5} - 25 \, a^{2} \cosh\left(d x + c\right)^{4} + 150 \, a^{2} \cosh\left(d x + c\right)^{3} + 5 \, {\left(3 \, a^{2} \cosh\left(d x + c\right) - 5 \, a^{2}\right)} \sinh\left(d x + c\right)^{4} + 150 \, a^{2} \cosh\left(d x + c\right)^{2} + 10 \, {\left(3 \, a^{2} \cosh\left(d x + c\right)^{2} - 10 \, a^{2} \cosh\left(d x + c\right) + 15 \, a^{2}\right)} \sinh\left(d x + c\right)^{3} - 25 \, a^{2} \cosh\left(d x + c\right) + 30 \, {\left(a^{2} \cosh\left(d x + c\right)^{3} - 5 \, a^{2} \cosh\left(d x + c\right)^{2} + 15 \, a^{2} \cosh\left(d x + c\right) + 5 \, a^{2}\right)} \sinh\left(d x + c\right)^{2} + 3 \, a^{2} + 5 \, {\left(3 \, a^{2} \cosh\left(d x + c\right)^{4} - 20 \, a^{2} \cosh\left(d x + c\right)^{3} + 90 \, a^{2} \cosh\left(d x + c\right)^{2} + 60 \, a^{2} \cosh\left(d x + c\right) - 5 \, a^{2}\right)} \sinh\left(d x + c\right)\right)} \sqrt{-\frac{a}{\cosh\left(d x + c\right) + \sinh\left(d x + c\right)}}}{30 \, {\left(d \cosh\left(d x + c\right)^{2} + 2 \, d \cosh\left(d x + c\right) \sinh\left(d x + c\right) + d \sinh\left(d x + c\right)^{2}\right)}}"," ",0,"1/30*sqrt(1/2)*(3*a^2*cosh(d*x + c)^5 + 3*a^2*sinh(d*x + c)^5 - 25*a^2*cosh(d*x + c)^4 + 150*a^2*cosh(d*x + c)^3 + 5*(3*a^2*cosh(d*x + c) - 5*a^2)*sinh(d*x + c)^4 + 150*a^2*cosh(d*x + c)^2 + 10*(3*a^2*cosh(d*x + c)^2 - 10*a^2*cosh(d*x + c) + 15*a^2)*sinh(d*x + c)^3 - 25*a^2*cosh(d*x + c) + 30*(a^2*cosh(d*x + c)^3 - 5*a^2*cosh(d*x + c)^2 + 15*a^2*cosh(d*x + c) + 5*a^2)*sinh(d*x + c)^2 + 3*a^2 + 5*(3*a^2*cosh(d*x + c)^4 - 20*a^2*cosh(d*x + c)^3 + 90*a^2*cosh(d*x + c)^2 + 60*a^2*cosh(d*x + c) - 5*a^2)*sinh(d*x + c))*sqrt(-a/(cosh(d*x + c) + sinh(d*x + c)))/(d*cosh(d*x + c)^2 + 2*d*cosh(d*x + c)*sinh(d*x + c) + d*sinh(d*x + c)^2)","B",0
49,1,139,0,0.514698," ","integrate((a-a*cosh(d*x+c))^(3/2),x, algorithm=""fricas"")","-\frac{\sqrt{\frac{1}{2}} {\left(a \cosh\left(d x + c\right)^{3} + a \sinh\left(d x + c\right)^{3} - 9 \, a \cosh\left(d x + c\right)^{2} + 3 \, {\left(a \cosh\left(d x + c\right) - 3 \, a\right)} \sinh\left(d x + c\right)^{2} - 9 \, a \cosh\left(d x + c\right) + 3 \, {\left(a \cosh\left(d x + c\right)^{2} - 6 \, a \cosh\left(d x + c\right) - 3 \, a\right)} \sinh\left(d x + c\right) + a\right)} \sqrt{-\frac{a}{\cosh\left(d x + c\right) + \sinh\left(d x + c\right)}}}{3 \, {\left(d \cosh\left(d x + c\right) + d \sinh\left(d x + c\right)\right)}}"," ",0,"-1/3*sqrt(1/2)*(a*cosh(d*x + c)^3 + a*sinh(d*x + c)^3 - 9*a*cosh(d*x + c)^2 + 3*(a*cosh(d*x + c) - 3*a)*sinh(d*x + c)^2 - 9*a*cosh(d*x + c) + 3*(a*cosh(d*x + c)^2 - 6*a*cosh(d*x + c) - 3*a)*sinh(d*x + c) + a)*sqrt(-a/(cosh(d*x + c) + sinh(d*x + c)))/(d*cosh(d*x + c) + d*sinh(d*x + c))","B",0
50,1,42,0,0.398800," ","integrate((a-a*cosh(d*x+c))^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{-\frac{a}{\cosh\left(d x + c\right) + \sinh\left(d x + c\right)}} {\left(\cosh\left(d x + c\right) + \sinh\left(d x + c\right) + 1\right)}}{d}"," ",0,"2*sqrt(1/2)*sqrt(-a/(cosh(d*x + c) + sinh(d*x + c)))*(cosh(d*x + c) + sinh(d*x + c) + 1)/d","A",0
51,1,154,0,0.526499," ","integrate(1/(a-a*cosh(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{2} \sqrt{-\frac{1}{a}} \log\left(\frac{2 \, \sqrt{2} \sqrt{\frac{1}{2}} \sqrt{-\frac{a}{\cosh\left(d x + c\right) + \sinh\left(d x + c\right)}} \sqrt{-\frac{1}{a}} {\left(\cosh\left(d x + c\right) + \sinh\left(d x + c\right)\right)} - \cosh\left(d x + c\right) - \sinh\left(d x + c\right) - 1}{\cosh\left(d x + c\right) + \sinh\left(d x + c\right) - 1}\right)}{d}, \frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} \sqrt{\frac{1}{2}} \sqrt{-\frac{a}{\cosh\left(d x + c\right) + \sinh\left(d x + c\right)}} {\left(\cosh\left(d x + c\right) + \sinh\left(d x + c\right)\right)}}{\sqrt{a}}\right)}{\sqrt{a} d}\right]"," ",0,"[sqrt(2)*sqrt(-1/a)*log((2*sqrt(2)*sqrt(1/2)*sqrt(-a/(cosh(d*x + c) + sinh(d*x + c)))*sqrt(-1/a)*(cosh(d*x + c) + sinh(d*x + c)) - cosh(d*x + c) - sinh(d*x + c) - 1)/(cosh(d*x + c) + sinh(d*x + c) - 1))/d, 2*sqrt(2)*arctan(sqrt(2)*sqrt(1/2)*sqrt(-a/(cosh(d*x + c) + sinh(d*x + c)))*(cosh(d*x + c) + sinh(d*x + c))/sqrt(a))/(sqrt(a)*d)]","A",0
52,1,274,0,0.609980," ","integrate(1/(a-a*cosh(d*x+c))^(3/2),x, algorithm=""fricas"")","-\frac{\sqrt{2} {\left(\cosh\left(d x + c\right)^{2} + 2 \, {\left(\cosh\left(d x + c\right) - 1\right)} \sinh\left(d x + c\right) + \sinh\left(d x + c\right)^{2} - 2 \, \cosh\left(d x + c\right) + 1\right)} \sqrt{-a} \log\left(-\frac{2 \, \sqrt{2} \sqrt{\frac{1}{2}} \sqrt{-a} \sqrt{-\frac{a}{\cosh\left(d x + c\right) + \sinh\left(d x + c\right)}} {\left(\cosh\left(d x + c\right) + \sinh\left(d x + c\right)\right)} + a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) + a}{\cosh\left(d x + c\right) + \sinh\left(d x + c\right) - 1}\right) + 4 \, \sqrt{\frac{1}{2}} {\left(\cosh\left(d x + c\right)^{2} + {\left(2 \, \cosh\left(d x + c\right) + 1\right)} \sinh\left(d x + c\right) + \sinh\left(d x + c\right)^{2} + \cosh\left(d x + c\right)\right)} \sqrt{-\frac{a}{\cosh\left(d x + c\right) + \sinh\left(d x + c\right)}}}{4 \, {\left(a^{2} d \cosh\left(d x + c\right)^{2} + a^{2} d \sinh\left(d x + c\right)^{2} - 2 \, a^{2} d \cosh\left(d x + c\right) + a^{2} d + 2 \, {\left(a^{2} d \cosh\left(d x + c\right) - a^{2} d\right)} \sinh\left(d x + c\right)\right)}}"," ",0,"-1/4*(sqrt(2)*(cosh(d*x + c)^2 + 2*(cosh(d*x + c) - 1)*sinh(d*x + c) + sinh(d*x + c)^2 - 2*cosh(d*x + c) + 1)*sqrt(-a)*log(-(2*sqrt(2)*sqrt(1/2)*sqrt(-a)*sqrt(-a/(cosh(d*x + c) + sinh(d*x + c)))*(cosh(d*x + c) + sinh(d*x + c)) + a*cosh(d*x + c) + a*sinh(d*x + c) + a)/(cosh(d*x + c) + sinh(d*x + c) - 1)) + 4*sqrt(1/2)*(cosh(d*x + c)^2 + (2*cosh(d*x + c) + 1)*sinh(d*x + c) + sinh(d*x + c)^2 + cosh(d*x + c))*sqrt(-a/(cosh(d*x + c) + sinh(d*x + c))))/(a^2*d*cosh(d*x + c)^2 + a^2*d*sinh(d*x + c)^2 - 2*a^2*d*cosh(d*x + c) + a^2*d + 2*(a^2*d*cosh(d*x + c) - a^2*d)*sinh(d*x + c))","B",0
53,1,580,0,1.253842," ","integrate(1/(a-a*cosh(d*x+c))^(5/2),x, algorithm=""fricas"")","-\frac{3 \, \sqrt{2} {\left(\cosh\left(d x + c\right)^{4} + 4 \, {\left(\cosh\left(d x + c\right) - 1\right)} \sinh\left(d x + c\right)^{3} + \sinh\left(d x + c\right)^{4} - 4 \, \cosh\left(d x + c\right)^{3} + 6 \, {\left(\cosh\left(d x + c\right)^{2} - 2 \, \cosh\left(d x + c\right) + 1\right)} \sinh\left(d x + c\right)^{2} + 6 \, \cosh\left(d x + c\right)^{2} + 4 \, {\left(\cosh\left(d x + c\right)^{3} - 3 \, \cosh\left(d x + c\right)^{2} + 3 \, \cosh\left(d x + c\right) - 1\right)} \sinh\left(d x + c\right) - 4 \, \cosh\left(d x + c\right) + 1\right)} \sqrt{-a} \log\left(-\frac{2 \, \sqrt{2} \sqrt{\frac{1}{2}} \sqrt{-a} \sqrt{-\frac{a}{\cosh\left(d x + c\right) + \sinh\left(d x + c\right)}} {\left(\cosh\left(d x + c\right) + \sinh\left(d x + c\right)\right)} + a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) + a}{\cosh\left(d x + c\right) + \sinh\left(d x + c\right) - 1}\right) + 4 \, \sqrt{\frac{1}{2}} {\left(3 \, \cosh\left(d x + c\right)^{4} + {\left(12 \, \cosh\left(d x + c\right) - 11\right)} \sinh\left(d x + c\right)^{3} + 3 \, \sinh\left(d x + c\right)^{4} - 11 \, \cosh\left(d x + c\right)^{3} + {\left(18 \, \cosh\left(d x + c\right)^{2} - 33 \, \cosh\left(d x + c\right) - 11\right)} \sinh\left(d x + c\right)^{2} - 11 \, \cosh\left(d x + c\right)^{2} + {\left(12 \, \cosh\left(d x + c\right)^{3} - 33 \, \cosh\left(d x + c\right)^{2} - 22 \, \cosh\left(d x + c\right) + 3\right)} \sinh\left(d x + c\right) + 3 \, \cosh\left(d x + c\right)\right)} \sqrt{-\frac{a}{\cosh\left(d x + c\right) + \sinh\left(d x + c\right)}}}{32 \, {\left(a^{3} d \cosh\left(d x + c\right)^{4} + a^{3} d \sinh\left(d x + c\right)^{4} - 4 \, a^{3} d \cosh\left(d x + c\right)^{3} + 6 \, a^{3} d \cosh\left(d x + c\right)^{2} - 4 \, a^{3} d \cosh\left(d x + c\right) + a^{3} d + 4 \, {\left(a^{3} d \cosh\left(d x + c\right) - a^{3} d\right)} \sinh\left(d x + c\right)^{3} + 6 \, {\left(a^{3} d \cosh\left(d x + c\right)^{2} - 2 \, a^{3} d \cosh\left(d x + c\right) + a^{3} d\right)} \sinh\left(d x + c\right)^{2} + 4 \, {\left(a^{3} d \cosh\left(d x + c\right)^{3} - 3 \, a^{3} d \cosh\left(d x + c\right)^{2} + 3 \, a^{3} d \cosh\left(d x + c\right) - a^{3} d\right)} \sinh\left(d x + c\right)\right)}}"," ",0,"-1/32*(3*sqrt(2)*(cosh(d*x + c)^4 + 4*(cosh(d*x + c) - 1)*sinh(d*x + c)^3 + sinh(d*x + c)^4 - 4*cosh(d*x + c)^3 + 6*(cosh(d*x + c)^2 - 2*cosh(d*x + c) + 1)*sinh(d*x + c)^2 + 6*cosh(d*x + c)^2 + 4*(cosh(d*x + c)^3 - 3*cosh(d*x + c)^2 + 3*cosh(d*x + c) - 1)*sinh(d*x + c) - 4*cosh(d*x + c) + 1)*sqrt(-a)*log(-(2*sqrt(2)*sqrt(1/2)*sqrt(-a)*sqrt(-a/(cosh(d*x + c) + sinh(d*x + c)))*(cosh(d*x + c) + sinh(d*x + c)) + a*cosh(d*x + c) + a*sinh(d*x + c) + a)/(cosh(d*x + c) + sinh(d*x + c) - 1)) + 4*sqrt(1/2)*(3*cosh(d*x + c)^4 + (12*cosh(d*x + c) - 11)*sinh(d*x + c)^3 + 3*sinh(d*x + c)^4 - 11*cosh(d*x + c)^3 + (18*cosh(d*x + c)^2 - 33*cosh(d*x + c) - 11)*sinh(d*x + c)^2 - 11*cosh(d*x + c)^2 + (12*cosh(d*x + c)^3 - 33*cosh(d*x + c)^2 - 22*cosh(d*x + c) + 3)*sinh(d*x + c) + 3*cosh(d*x + c))*sqrt(-a/(cosh(d*x + c) + sinh(d*x + c))))/(a^3*d*cosh(d*x + c)^4 + a^3*d*sinh(d*x + c)^4 - 4*a^3*d*cosh(d*x + c)^3 + 6*a^3*d*cosh(d*x + c)^2 - 4*a^3*d*cosh(d*x + c) + a^3*d + 4*(a^3*d*cosh(d*x + c) - a^3*d)*sinh(d*x + c)^3 + 6*(a^3*d*cosh(d*x + c)^2 - 2*a^3*d*cosh(d*x + c) + a^3*d)*sinh(d*x + c)^2 + 4*(a^3*d*cosh(d*x + c)^3 - 3*a^3*d*cosh(d*x + c)^2 + 3*a^3*d*cosh(d*x + c) - a^3*d)*sinh(d*x + c))","B",0
54,1,1625,0,0.801000," ","integrate(cosh(x)^4/(a+b*cosh(x)),x, algorithm=""fricas"")","\left[\frac{{\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{6} + {\left(a^{2} b^{3} - b^{5}\right)} \sinh\left(x\right)^{6} - 3 \, {\left(a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{5} - 3 \, {\left(a^{3} b^{2} - a b^{4} - 2 \, {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - a^{2} b^{3} + b^{5} - 12 \, {\left(2 \, a^{5} - a^{3} b^{2} - a b^{4}\right)} x \cosh\left(x\right)^{3} + 3 \, {\left(4 \, a^{4} b - a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(4 \, a^{4} b - a^{2} b^{3} - 3 \, b^{5} + 5 \, {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{2} - 5 \, {\left(a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 2 \, {\left(10 \, {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{3} - 15 \, {\left(a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{2} - 6 \, {\left(2 \, a^{5} - a^{3} b^{2} - a b^{4}\right)} x + 6 \, {\left(4 \, a^{4} b - a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 3 \, {\left(4 \, a^{4} b - a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{2} - 3 \, {\left(4 \, a^{4} b - a^{2} b^{3} - 3 \, b^{5} - 5 \, {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{4} + 10 \, {\left(a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{3} + 12 \, {\left(2 \, a^{5} - a^{3} b^{2} - a b^{4}\right)} x \cosh\left(x\right) - 6 \, {\left(4 \, a^{4} b - a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 24 \, {\left(a^{4} \cosh\left(x\right)^{3} + 3 \, a^{4} \cosh\left(x\right)^{2} \sinh\left(x\right) + 3 \, a^{4} \cosh\left(x\right) \sinh\left(x\right)^{2} + a^{4} \sinh\left(x\right)^{3}\right)} \sqrt{a^{2} - b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b}\right) + 3 \, {\left(a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right) + 3 \, {\left(2 \, {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{5} + a^{3} b^{2} - a b^{4} - 5 \, {\left(a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{4} - 12 \, {\left(2 \, a^{5} - a^{3} b^{2} - a b^{4}\right)} x \cosh\left(x\right)^{2} + 4 \, {\left(4 \, a^{4} b - a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{3} - 2 \, {\left(4 \, a^{4} b - a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{24 \, {\left({\left(a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{2} \sinh\left(x\right) + 3 \, {\left(a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(a^{2} b^{4} - b^{6}\right)} \sinh\left(x\right)^{3}\right)}}, \frac{{\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{6} + {\left(a^{2} b^{3} - b^{5}\right)} \sinh\left(x\right)^{6} - 3 \, {\left(a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{5} - 3 \, {\left(a^{3} b^{2} - a b^{4} - 2 \, {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - a^{2} b^{3} + b^{5} - 12 \, {\left(2 \, a^{5} - a^{3} b^{2} - a b^{4}\right)} x \cosh\left(x\right)^{3} + 3 \, {\left(4 \, a^{4} b - a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(4 \, a^{4} b - a^{2} b^{3} - 3 \, b^{5} + 5 \, {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{2} - 5 \, {\left(a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 2 \, {\left(10 \, {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{3} - 15 \, {\left(a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{2} - 6 \, {\left(2 \, a^{5} - a^{3} b^{2} - a b^{4}\right)} x + 6 \, {\left(4 \, a^{4} b - a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 3 \, {\left(4 \, a^{4} b - a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{2} - 3 \, {\left(4 \, a^{4} b - a^{2} b^{3} - 3 \, b^{5} - 5 \, {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{4} + 10 \, {\left(a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{3} + 12 \, {\left(2 \, a^{5} - a^{3} b^{2} - a b^{4}\right)} x \cosh\left(x\right) - 6 \, {\left(4 \, a^{4} b - a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} - 48 \, {\left(a^{4} \cosh\left(x\right)^{3} + 3 \, a^{4} \cosh\left(x\right)^{2} \sinh\left(x\right) + 3 \, a^{4} \cosh\left(x\right) \sinh\left(x\right)^{2} + a^{4} \sinh\left(x\right)^{3}\right)} \sqrt{-a^{2} + b^{2}} \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{a^{2} - b^{2}}\right) + 3 \, {\left(a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right) + 3 \, {\left(2 \, {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{5} + a^{3} b^{2} - a b^{4} - 5 \, {\left(a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{4} - 12 \, {\left(2 \, a^{5} - a^{3} b^{2} - a b^{4}\right)} x \cosh\left(x\right)^{2} + 4 \, {\left(4 \, a^{4} b - a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{3} - 2 \, {\left(4 \, a^{4} b - a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{24 \, {\left({\left(a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{2} \sinh\left(x\right) + 3 \, {\left(a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(a^{2} b^{4} - b^{6}\right)} \sinh\left(x\right)^{3}\right)}}\right]"," ",0,"[1/24*((a^2*b^3 - b^5)*cosh(x)^6 + (a^2*b^3 - b^5)*sinh(x)^6 - 3*(a^3*b^2 - a*b^4)*cosh(x)^5 - 3*(a^3*b^2 - a*b^4 - 2*(a^2*b^3 - b^5)*cosh(x))*sinh(x)^5 - a^2*b^3 + b^5 - 12*(2*a^5 - a^3*b^2 - a*b^4)*x*cosh(x)^3 + 3*(4*a^4*b - a^2*b^3 - 3*b^5)*cosh(x)^4 + 3*(4*a^4*b - a^2*b^3 - 3*b^5 + 5*(a^2*b^3 - b^5)*cosh(x)^2 - 5*(a^3*b^2 - a*b^4)*cosh(x))*sinh(x)^4 + 2*(10*(a^2*b^3 - b^5)*cosh(x)^3 - 15*(a^3*b^2 - a*b^4)*cosh(x)^2 - 6*(2*a^5 - a^3*b^2 - a*b^4)*x + 6*(4*a^4*b - a^2*b^3 - 3*b^5)*cosh(x))*sinh(x)^3 - 3*(4*a^4*b - a^2*b^3 - 3*b^5)*cosh(x)^2 - 3*(4*a^4*b - a^2*b^3 - 3*b^5 - 5*(a^2*b^3 - b^5)*cosh(x)^4 + 10*(a^3*b^2 - a*b^4)*cosh(x)^3 + 12*(2*a^5 - a^3*b^2 - a*b^4)*x*cosh(x) - 6*(4*a^4*b - a^2*b^3 - 3*b^5)*cosh(x)^2)*sinh(x)^2 + 24*(a^4*cosh(x)^3 + 3*a^4*cosh(x)^2*sinh(x) + 3*a^4*cosh(x)*sinh(x)^2 + a^4*sinh(x)^3)*sqrt(a^2 - b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 - b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 - b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) + b)) + 3*(a^3*b^2 - a*b^4)*cosh(x) + 3*(2*(a^2*b^3 - b^5)*cosh(x)^5 + a^3*b^2 - a*b^4 - 5*(a^3*b^2 - a*b^4)*cosh(x)^4 - 12*(2*a^5 - a^3*b^2 - a*b^4)*x*cosh(x)^2 + 4*(4*a^4*b - a^2*b^3 - 3*b^5)*cosh(x)^3 - 2*(4*a^4*b - a^2*b^3 - 3*b^5)*cosh(x))*sinh(x))/((a^2*b^4 - b^6)*cosh(x)^3 + 3*(a^2*b^4 - b^6)*cosh(x)^2*sinh(x) + 3*(a^2*b^4 - b^6)*cosh(x)*sinh(x)^2 + (a^2*b^4 - b^6)*sinh(x)^3), 1/24*((a^2*b^3 - b^5)*cosh(x)^6 + (a^2*b^3 - b^5)*sinh(x)^6 - 3*(a^3*b^2 - a*b^4)*cosh(x)^5 - 3*(a^3*b^2 - a*b^4 - 2*(a^2*b^3 - b^5)*cosh(x))*sinh(x)^5 - a^2*b^3 + b^5 - 12*(2*a^5 - a^3*b^2 - a*b^4)*x*cosh(x)^3 + 3*(4*a^4*b - a^2*b^3 - 3*b^5)*cosh(x)^4 + 3*(4*a^4*b - a^2*b^3 - 3*b^5 + 5*(a^2*b^3 - b^5)*cosh(x)^2 - 5*(a^3*b^2 - a*b^4)*cosh(x))*sinh(x)^4 + 2*(10*(a^2*b^3 - b^5)*cosh(x)^3 - 15*(a^3*b^2 - a*b^4)*cosh(x)^2 - 6*(2*a^5 - a^3*b^2 - a*b^4)*x + 6*(4*a^4*b - a^2*b^3 - 3*b^5)*cosh(x))*sinh(x)^3 - 3*(4*a^4*b - a^2*b^3 - 3*b^5)*cosh(x)^2 - 3*(4*a^4*b - a^2*b^3 - 3*b^5 - 5*(a^2*b^3 - b^5)*cosh(x)^4 + 10*(a^3*b^2 - a*b^4)*cosh(x)^3 + 12*(2*a^5 - a^3*b^2 - a*b^4)*x*cosh(x) - 6*(4*a^4*b - a^2*b^3 - 3*b^5)*cosh(x)^2)*sinh(x)^2 - 48*(a^4*cosh(x)^3 + 3*a^4*cosh(x)^2*sinh(x) + 3*a^4*cosh(x)*sinh(x)^2 + a^4*sinh(x)^3)*sqrt(-a^2 + b^2)*arctan(-sqrt(-a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a)/(a^2 - b^2)) + 3*(a^3*b^2 - a*b^4)*cosh(x) + 3*(2*(a^2*b^3 - b^5)*cosh(x)^5 + a^3*b^2 - a*b^4 - 5*(a^3*b^2 - a*b^4)*cosh(x)^4 - 12*(2*a^5 - a^3*b^2 - a*b^4)*x*cosh(x)^2 + 4*(4*a^4*b - a^2*b^3 - 3*b^5)*cosh(x)^3 - 2*(4*a^4*b - a^2*b^3 - 3*b^5)*cosh(x))*sinh(x))/((a^2*b^4 - b^6)*cosh(x)^3 + 3*(a^2*b^4 - b^6)*cosh(x)^2*sinh(x) + 3*(a^2*b^4 - b^6)*cosh(x)*sinh(x)^2 + (a^2*b^4 - b^6)*sinh(x)^3)]","B",0
55,1,903,0,0.891772," ","integrate(cosh(x)^3/(a+b*cosh(x)),x, algorithm=""fricas"")","\left[\frac{{\left(a^{2} b^{2} - b^{4}\right)} \cosh\left(x\right)^{4} + {\left(a^{2} b^{2} - b^{4}\right)} \sinh\left(x\right)^{4} - a^{2} b^{2} + b^{4} + 4 \, {\left(2 \, a^{4} - a^{2} b^{2} - b^{4}\right)} x \cosh\left(x\right)^{2} - 4 \, {\left(a^{3} b - a b^{3}\right)} \cosh\left(x\right)^{3} - 4 \, {\left(a^{3} b - a b^{3} - {\left(a^{2} b^{2} - b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(3 \, {\left(a^{2} b^{2} - b^{4}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(2 \, a^{4} - a^{2} b^{2} - b^{4}\right)} x - 6 \, {\left(a^{3} b - a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 8 \, {\left(a^{3} \cosh\left(x\right)^{2} + 2 \, a^{3} \cosh\left(x\right) \sinh\left(x\right) + a^{3} \sinh\left(x\right)^{2}\right)} \sqrt{a^{2} - b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b}\right) + 4 \, {\left(a^{3} b - a b^{3}\right)} \cosh\left(x\right) + 4 \, {\left(a^{3} b - a b^{3} + {\left(a^{2} b^{2} - b^{4}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(2 \, a^{4} - a^{2} b^{2} - b^{4}\right)} x \cosh\left(x\right) - 3 \, {\left(a^{3} b - a b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)}{8 \, {\left({\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a^{2} b^{3} - b^{5}\right)} \sinh\left(x\right)^{2}\right)}}, \frac{{\left(a^{2} b^{2} - b^{4}\right)} \cosh\left(x\right)^{4} + {\left(a^{2} b^{2} - b^{4}\right)} \sinh\left(x\right)^{4} - a^{2} b^{2} + b^{4} + 4 \, {\left(2 \, a^{4} - a^{2} b^{2} - b^{4}\right)} x \cosh\left(x\right)^{2} - 4 \, {\left(a^{3} b - a b^{3}\right)} \cosh\left(x\right)^{3} - 4 \, {\left(a^{3} b - a b^{3} - {\left(a^{2} b^{2} - b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(3 \, {\left(a^{2} b^{2} - b^{4}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(2 \, a^{4} - a^{2} b^{2} - b^{4}\right)} x - 6 \, {\left(a^{3} b - a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 16 \, {\left(a^{3} \cosh\left(x\right)^{2} + 2 \, a^{3} \cosh\left(x\right) \sinh\left(x\right) + a^{3} \sinh\left(x\right)^{2}\right)} \sqrt{-a^{2} + b^{2}} \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{a^{2} - b^{2}}\right) + 4 \, {\left(a^{3} b - a b^{3}\right)} \cosh\left(x\right) + 4 \, {\left(a^{3} b - a b^{3} + {\left(a^{2} b^{2} - b^{4}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(2 \, a^{4} - a^{2} b^{2} - b^{4}\right)} x \cosh\left(x\right) - 3 \, {\left(a^{3} b - a b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)}{8 \, {\left({\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a^{2} b^{3} - b^{5}\right)} \sinh\left(x\right)^{2}\right)}}\right]"," ",0,"[1/8*((a^2*b^2 - b^4)*cosh(x)^4 + (a^2*b^2 - b^4)*sinh(x)^4 - a^2*b^2 + b^4 + 4*(2*a^4 - a^2*b^2 - b^4)*x*cosh(x)^2 - 4*(a^3*b - a*b^3)*cosh(x)^3 - 4*(a^3*b - a*b^3 - (a^2*b^2 - b^4)*cosh(x))*sinh(x)^3 + 2*(3*(a^2*b^2 - b^4)*cosh(x)^2 + 2*(2*a^4 - a^2*b^2 - b^4)*x - 6*(a^3*b - a*b^3)*cosh(x))*sinh(x)^2 + 8*(a^3*cosh(x)^2 + 2*a^3*cosh(x)*sinh(x) + a^3*sinh(x)^2)*sqrt(a^2 - b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 - b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 - b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) + b)) + 4*(a^3*b - a*b^3)*cosh(x) + 4*(a^3*b - a*b^3 + (a^2*b^2 - b^4)*cosh(x)^3 + 2*(2*a^4 - a^2*b^2 - b^4)*x*cosh(x) - 3*(a^3*b - a*b^3)*cosh(x)^2)*sinh(x))/((a^2*b^3 - b^5)*cosh(x)^2 + 2*(a^2*b^3 - b^5)*cosh(x)*sinh(x) + (a^2*b^3 - b^5)*sinh(x)^2), 1/8*((a^2*b^2 - b^4)*cosh(x)^4 + (a^2*b^2 - b^4)*sinh(x)^4 - a^2*b^2 + b^4 + 4*(2*a^4 - a^2*b^2 - b^4)*x*cosh(x)^2 - 4*(a^3*b - a*b^3)*cosh(x)^3 - 4*(a^3*b - a*b^3 - (a^2*b^2 - b^4)*cosh(x))*sinh(x)^3 + 2*(3*(a^2*b^2 - b^4)*cosh(x)^2 + 2*(2*a^4 - a^2*b^2 - b^4)*x - 6*(a^3*b - a*b^3)*cosh(x))*sinh(x)^2 + 16*(a^3*cosh(x)^2 + 2*a^3*cosh(x)*sinh(x) + a^3*sinh(x)^2)*sqrt(-a^2 + b^2)*arctan(-sqrt(-a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a)/(a^2 - b^2)) + 4*(a^3*b - a*b^3)*cosh(x) + 4*(a^3*b - a*b^3 + (a^2*b^2 - b^4)*cosh(x)^3 + 2*(2*a^4 - a^2*b^2 - b^4)*x*cosh(x) - 3*(a^3*b - a*b^3)*cosh(x)^2)*sinh(x))/((a^2*b^3 - b^5)*cosh(x)^2 + 2*(a^2*b^3 - b^5)*cosh(x)*sinh(x) + (a^2*b^3 - b^5)*sinh(x)^2)]","B",0
56,1,449,0,0.776049," ","integrate(cosh(x)^2/(a+b*cosh(x)),x, algorithm=""fricas"")","\left[-\frac{a^{2} b - b^{3} + 2 \, {\left(a^{3} - a b^{2}\right)} x \cosh\left(x\right) - {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{2} - {\left(a^{2} b - b^{3}\right)} \sinh\left(x\right)^{2} - 2 \, {\left(a^{2} \cosh\left(x\right) + a^{2} \sinh\left(x\right)\right)} \sqrt{a^{2} - b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b}\right) + 2 \, {\left({\left(a^{3} - a b^{2}\right)} x - {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{2 \, {\left({\left(a^{2} b^{2} - b^{4}\right)} \cosh\left(x\right) + {\left(a^{2} b^{2} - b^{4}\right)} \sinh\left(x\right)\right)}}, -\frac{a^{2} b - b^{3} + 2 \, {\left(a^{3} - a b^{2}\right)} x \cosh\left(x\right) - {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{2} - {\left(a^{2} b - b^{3}\right)} \sinh\left(x\right)^{2} + 4 \, {\left(a^{2} \cosh\left(x\right) + a^{2} \sinh\left(x\right)\right)} \sqrt{-a^{2} + b^{2}} \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{a^{2} - b^{2}}\right) + 2 \, {\left({\left(a^{3} - a b^{2}\right)} x - {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{2 \, {\left({\left(a^{2} b^{2} - b^{4}\right)} \cosh\left(x\right) + {\left(a^{2} b^{2} - b^{4}\right)} \sinh\left(x\right)\right)}}\right]"," ",0,"[-1/2*(a^2*b - b^3 + 2*(a^3 - a*b^2)*x*cosh(x) - (a^2*b - b^3)*cosh(x)^2 - (a^2*b - b^3)*sinh(x)^2 - 2*(a^2*cosh(x) + a^2*sinh(x))*sqrt(a^2 - b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 - b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 - b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) + b)) + 2*((a^3 - a*b^2)*x - (a^2*b - b^3)*cosh(x))*sinh(x))/((a^2*b^2 - b^4)*cosh(x) + (a^2*b^2 - b^4)*sinh(x)), -1/2*(a^2*b - b^3 + 2*(a^3 - a*b^2)*x*cosh(x) - (a^2*b - b^3)*cosh(x)^2 - (a^2*b - b^3)*sinh(x)^2 + 4*(a^2*cosh(x) + a^2*sinh(x))*sqrt(-a^2 + b^2)*arctan(-sqrt(-a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a)/(a^2 - b^2)) + 2*((a^3 - a*b^2)*x - (a^2*b - b^3)*cosh(x))*sinh(x))/((a^2*b^2 - b^4)*cosh(x) + (a^2*b^2 - b^4)*sinh(x))]","B",0
57,1,218,0,0.484756," ","integrate(cosh(x)/(a+b*cosh(x)),x, algorithm=""fricas"")","\left[\frac{\sqrt{a^{2} - b^{2}} a \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b}\right) + {\left(a^{2} - b^{2}\right)} x}{a^{2} b - b^{3}}, \frac{2 \, \sqrt{-a^{2} + b^{2}} a \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{a^{2} - b^{2}}\right) + {\left(a^{2} - b^{2}\right)} x}{a^{2} b - b^{3}}\right]"," ",0,"[(sqrt(a^2 - b^2)*a*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 - b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 - b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) + b)) + (a^2 - b^2)*x)/(a^2*b - b^3), (2*sqrt(-a^2 + b^2)*a*arctan(-sqrt(-a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a)/(a^2 - b^2)) + (a^2 - b^2)*x)/(a^2*b - b^3)]","A",0
58,1,227,0,0.634014," ","integrate(sech(x)/(a+b*cosh(x)),x, algorithm=""fricas"")","\left[\frac{\sqrt{a^{2} - b^{2}} b \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b}\right) + 2 \, {\left(a^{2} - b^{2}\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}{a^{3} - a b^{2}}, \frac{2 \, {\left(\sqrt{-a^{2} + b^{2}} b \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{a^{2} - b^{2}}\right) + {\left(a^{2} - b^{2}\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right)\right)}}{a^{3} - a b^{2}}\right]"," ",0,"[(sqrt(a^2 - b^2)*b*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 - b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 - b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) + b)) + 2*(a^2 - b^2)*arctan(cosh(x) + sinh(x)))/(a^3 - a*b^2), 2*(sqrt(-a^2 + b^2)*b*arctan(-sqrt(-a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a)/(a^2 - b^2)) + (a^2 - b^2)*arctan(cosh(x) + sinh(x)))/(a^3 - a*b^2)]","A",0
59,1,515,0,0.651861," ","integrate(sech(x)^2/(a+b*cosh(x)),x, algorithm=""fricas"")","\left[-\frac{2 \, a^{3} - 2 \, a b^{2} - {\left(b^{2} \cosh\left(x\right)^{2} + 2 \, b^{2} \cosh\left(x\right) \sinh\left(x\right) + b^{2} \sinh\left(x\right)^{2} + b^{2}\right)} \sqrt{a^{2} - b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b}\right) + 2 \, {\left(a^{2} b - b^{3} + {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a^{2} b - b^{3}\right)} \sinh\left(x\right)^{2}\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}{a^{4} - a^{2} b^{2} + {\left(a^{4} - a^{2} b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{4} - a^{2} b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a^{4} - a^{2} b^{2}\right)} \sinh\left(x\right)^{2}}, -\frac{2 \, {\left(a^{3} - a b^{2} + {\left(b^{2} \cosh\left(x\right)^{2} + 2 \, b^{2} \cosh\left(x\right) \sinh\left(x\right) + b^{2} \sinh\left(x\right)^{2} + b^{2}\right)} \sqrt{-a^{2} + b^{2}} \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{a^{2} - b^{2}}\right) + {\left(a^{2} b - b^{3} + {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a^{2} b - b^{3}\right)} \sinh\left(x\right)^{2}\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right)\right)}}{a^{4} - a^{2} b^{2} + {\left(a^{4} - a^{2} b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{4} - a^{2} b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a^{4} - a^{2} b^{2}\right)} \sinh\left(x\right)^{2}}\right]"," ",0,"[-(2*a^3 - 2*a*b^2 - (b^2*cosh(x)^2 + 2*b^2*cosh(x)*sinh(x) + b^2*sinh(x)^2 + b^2)*sqrt(a^2 - b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 - b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 - b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) + b)) + 2*(a^2*b - b^3 + (a^2*b - b^3)*cosh(x)^2 + 2*(a^2*b - b^3)*cosh(x)*sinh(x) + (a^2*b - b^3)*sinh(x)^2)*arctan(cosh(x) + sinh(x)))/(a^4 - a^2*b^2 + (a^4 - a^2*b^2)*cosh(x)^2 + 2*(a^4 - a^2*b^2)*cosh(x)*sinh(x) + (a^4 - a^2*b^2)*sinh(x)^2), -2*(a^3 - a*b^2 + (b^2*cosh(x)^2 + 2*b^2*cosh(x)*sinh(x) + b^2*sinh(x)^2 + b^2)*sqrt(-a^2 + b^2)*arctan(-sqrt(-a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a)/(a^2 - b^2)) + (a^2*b - b^3 + (a^2*b - b^3)*cosh(x)^2 + 2*(a^2*b - b^3)*cosh(x)*sinh(x) + (a^2*b - b^3)*sinh(x)^2)*arctan(cosh(x) + sinh(x)))/(a^4 - a^2*b^2 + (a^4 - a^2*b^2)*cosh(x)^2 + 2*(a^4 - a^2*b^2)*cosh(x)*sinh(x) + (a^4 - a^2*b^2)*sinh(x)^2)]","B",0
60,1,1370,0,0.849863," ","integrate(sech(x)^3/(a+b*cosh(x)),x, algorithm=""fricas"")","\left[\frac{2 \, a^{3} b - 2 \, a b^{3} + {\left(a^{4} - a^{2} b^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{4} - a^{2} b^{2}\right)} \sinh\left(x\right)^{3} + 2 \, {\left(a^{3} b - a b^{3}\right)} \cosh\left(x\right)^{2} + {\left(2 \, a^{3} b - 2 \, a b^{3} + 3 \, {\left(a^{4} - a^{2} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left(b^{3} \cosh\left(x\right)^{4} + 4 \, b^{3} \cosh\left(x\right) \sinh\left(x\right)^{3} + b^{3} \sinh\left(x\right)^{4} + 2 \, b^{3} \cosh\left(x\right)^{2} + b^{3} + 2 \, {\left(3 \, b^{3} \cosh\left(x\right)^{2} + b^{3}\right)} \sinh\left(x\right)^{2} + 4 \, {\left(b^{3} \cosh\left(x\right)^{3} + b^{3} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} - b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b}\right) + {\left({\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} \sinh\left(x\right)^{4} + a^{4} + a^{2} b^{2} - 2 \, b^{4} + 2 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} \cosh\left(x\right)^{3} + {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) - {\left(a^{4} - a^{2} b^{2}\right)} \cosh\left(x\right) - {\left(a^{4} - a^{2} b^{2} - 3 \, {\left(a^{4} - a^{2} b^{2}\right)} \cosh\left(x\right)^{2} - 4 \, {\left(a^{3} b - a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{a^{5} - a^{3} b^{2} + {\left(a^{5} - a^{3} b^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{5} - a^{3} b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{5} - a^{3} b^{2}\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a^{5} - a^{3} b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{5} - a^{3} b^{2} + 3 \, {\left(a^{5} - a^{3} b^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a^{5} - a^{3} b^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{5} - a^{3} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}, \frac{2 \, a^{3} b - 2 \, a b^{3} + {\left(a^{4} - a^{2} b^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{4} - a^{2} b^{2}\right)} \sinh\left(x\right)^{3} + 2 \, {\left(a^{3} b - a b^{3}\right)} \cosh\left(x\right)^{2} + {\left(2 \, a^{3} b - 2 \, a b^{3} + 3 \, {\left(a^{4} - a^{2} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 2 \, {\left(b^{3} \cosh\left(x\right)^{4} + 4 \, b^{3} \cosh\left(x\right) \sinh\left(x\right)^{3} + b^{3} \sinh\left(x\right)^{4} + 2 \, b^{3} \cosh\left(x\right)^{2} + b^{3} + 2 \, {\left(3 \, b^{3} \cosh\left(x\right)^{2} + b^{3}\right)} \sinh\left(x\right)^{2} + 4 \, {\left(b^{3} \cosh\left(x\right)^{3} + b^{3} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{-a^{2} + b^{2}} \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{a^{2} - b^{2}}\right) + {\left({\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} \sinh\left(x\right)^{4} + a^{4} + a^{2} b^{2} - 2 \, b^{4} + 2 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} \cosh\left(x\right)^{3} + {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) - {\left(a^{4} - a^{2} b^{2}\right)} \cosh\left(x\right) - {\left(a^{4} - a^{2} b^{2} - 3 \, {\left(a^{4} - a^{2} b^{2}\right)} \cosh\left(x\right)^{2} - 4 \, {\left(a^{3} b - a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{a^{5} - a^{3} b^{2} + {\left(a^{5} - a^{3} b^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{5} - a^{3} b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{5} - a^{3} b^{2}\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a^{5} - a^{3} b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{5} - a^{3} b^{2} + 3 \, {\left(a^{5} - a^{3} b^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a^{5} - a^{3} b^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{5} - a^{3} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}\right]"," ",0,"[(2*a^3*b - 2*a*b^3 + (a^4 - a^2*b^2)*cosh(x)^3 + (a^4 - a^2*b^2)*sinh(x)^3 + 2*(a^3*b - a*b^3)*cosh(x)^2 + (2*a^3*b - 2*a*b^3 + 3*(a^4 - a^2*b^2)*cosh(x))*sinh(x)^2 + (b^3*cosh(x)^4 + 4*b^3*cosh(x)*sinh(x)^3 + b^3*sinh(x)^4 + 2*b^3*cosh(x)^2 + b^3 + 2*(3*b^3*cosh(x)^2 + b^3)*sinh(x)^2 + 4*(b^3*cosh(x)^3 + b^3*cosh(x))*sinh(x))*sqrt(a^2 - b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 - b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 - b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) + b)) + ((a^4 + a^2*b^2 - 2*b^4)*cosh(x)^4 + 4*(a^4 + a^2*b^2 - 2*b^4)*cosh(x)*sinh(x)^3 + (a^4 + a^2*b^2 - 2*b^4)*sinh(x)^4 + a^4 + a^2*b^2 - 2*b^4 + 2*(a^4 + a^2*b^2 - 2*b^4)*cosh(x)^2 + 2*(a^4 + a^2*b^2 - 2*b^4 + 3*(a^4 + a^2*b^2 - 2*b^4)*cosh(x)^2)*sinh(x)^2 + 4*((a^4 + a^2*b^2 - 2*b^4)*cosh(x)^3 + (a^4 + a^2*b^2 - 2*b^4)*cosh(x))*sinh(x))*arctan(cosh(x) + sinh(x)) - (a^4 - a^2*b^2)*cosh(x) - (a^4 - a^2*b^2 - 3*(a^4 - a^2*b^2)*cosh(x)^2 - 4*(a^3*b - a*b^3)*cosh(x))*sinh(x))/(a^5 - a^3*b^2 + (a^5 - a^3*b^2)*cosh(x)^4 + 4*(a^5 - a^3*b^2)*cosh(x)*sinh(x)^3 + (a^5 - a^3*b^2)*sinh(x)^4 + 2*(a^5 - a^3*b^2)*cosh(x)^2 + 2*(a^5 - a^3*b^2 + 3*(a^5 - a^3*b^2)*cosh(x)^2)*sinh(x)^2 + 4*((a^5 - a^3*b^2)*cosh(x)^3 + (a^5 - a^3*b^2)*cosh(x))*sinh(x)), (2*a^3*b - 2*a*b^3 + (a^4 - a^2*b^2)*cosh(x)^3 + (a^4 - a^2*b^2)*sinh(x)^3 + 2*(a^3*b - a*b^3)*cosh(x)^2 + (2*a^3*b - 2*a*b^3 + 3*(a^4 - a^2*b^2)*cosh(x))*sinh(x)^2 + 2*(b^3*cosh(x)^4 + 4*b^3*cosh(x)*sinh(x)^3 + b^3*sinh(x)^4 + 2*b^3*cosh(x)^2 + b^3 + 2*(3*b^3*cosh(x)^2 + b^3)*sinh(x)^2 + 4*(b^3*cosh(x)^3 + b^3*cosh(x))*sinh(x))*sqrt(-a^2 + b^2)*arctan(-sqrt(-a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a)/(a^2 - b^2)) + ((a^4 + a^2*b^2 - 2*b^4)*cosh(x)^4 + 4*(a^4 + a^2*b^2 - 2*b^4)*cosh(x)*sinh(x)^3 + (a^4 + a^2*b^2 - 2*b^4)*sinh(x)^4 + a^4 + a^2*b^2 - 2*b^4 + 2*(a^4 + a^2*b^2 - 2*b^4)*cosh(x)^2 + 2*(a^4 + a^2*b^2 - 2*b^4 + 3*(a^4 + a^2*b^2 - 2*b^4)*cosh(x)^2)*sinh(x)^2 + 4*((a^4 + a^2*b^2 - 2*b^4)*cosh(x)^3 + (a^4 + a^2*b^2 - 2*b^4)*cosh(x))*sinh(x))*arctan(cosh(x) + sinh(x)) - (a^4 - a^2*b^2)*cosh(x) - (a^4 - a^2*b^2 - 3*(a^4 - a^2*b^2)*cosh(x)^2 - 4*(a^3*b - a*b^3)*cosh(x))*sinh(x))/(a^5 - a^3*b^2 + (a^5 - a^3*b^2)*cosh(x)^4 + 4*(a^5 - a^3*b^2)*cosh(x)*sinh(x)^3 + (a^5 - a^3*b^2)*sinh(x)^4 + 2*(a^5 - a^3*b^2)*cosh(x)^2 + 2*(a^5 - a^3*b^2 + 3*(a^5 - a^3*b^2)*cosh(x)^2)*sinh(x)^2 + 4*((a^5 - a^3*b^2)*cosh(x)^3 + (a^5 - a^3*b^2)*cosh(x))*sinh(x))]","B",0
61,1,2483,0,1.111639," ","integrate(sech(x)^4/(a+b*cosh(x)),x, algorithm=""fricas"")","\left[-\frac{3 \, {\left(a^{4} b - a^{2} b^{3}\right)} \cosh\left(x\right)^{5} + 3 \, {\left(a^{4} b - a^{2} b^{3}\right)} \sinh\left(x\right)^{5} + 4 \, a^{5} + 2 \, a^{3} b^{2} - 6 \, a b^{4} + 6 \, {\left(a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(2 \, a^{3} b^{2} - 2 \, a b^{4} + 5 \, {\left(a^{4} b - a^{2} b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 6 \, {\left(5 \, {\left(a^{4} b - a^{2} b^{3}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 12 \, {\left(a^{5} - a b^{4}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(2 \, a^{5} - 2 \, a b^{4} + 5 \, {\left(a^{4} b - a^{2} b^{3}\right)} \cosh\left(x\right)^{3} + 6 \, {\left(a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} - 3 \, {\left(b^{4} \cosh\left(x\right)^{6} + 6 \, b^{4} \cosh\left(x\right) \sinh\left(x\right)^{5} + b^{4} \sinh\left(x\right)^{6} + 3 \, b^{4} \cosh\left(x\right)^{4} + 3 \, b^{4} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, b^{4} \cosh\left(x\right)^{2} + b^{4}\right)} \sinh\left(x\right)^{4} + b^{4} + 4 \, {\left(5 \, b^{4} \cosh\left(x\right)^{3} + 3 \, b^{4} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(5 \, b^{4} \cosh\left(x\right)^{4} + 6 \, b^{4} \cosh\left(x\right)^{2} + b^{4}\right)} \sinh\left(x\right)^{2} + 6 \, {\left(b^{4} \cosh\left(x\right)^{5} + 2 \, b^{4} \cosh\left(x\right)^{3} + b^{4} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} - b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b}\right) + 3 \, {\left({\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} \sinh\left(x\right)^{6} + a^{4} b + a^{2} b^{3} - 2 \, b^{5} + 3 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5} + 5 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5} + 5 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)^{4} + 6 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)^{3} + {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) - 3 \, {\left(a^{4} b - a^{2} b^{3}\right)} \cosh\left(x\right) - 3 \, {\left(a^{4} b - a^{2} b^{3} - 5 \, {\left(a^{4} b - a^{2} b^{3}\right)} \cosh\left(x\right)^{4} - 8 \, {\left(a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{3} - 8 \, {\left(a^{5} - a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{3 \, {\left({\left(a^{6} - a^{4} b^{2}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{6} - a^{4} b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{6} - a^{4} b^{2}\right)} \sinh\left(x\right)^{6} + a^{6} - a^{4} b^{2} + 3 \, {\left(a^{6} - a^{4} b^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(a^{6} - a^{4} b^{2} + 5 \, {\left(a^{6} - a^{4} b^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(a^{6} - a^{4} b^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{6} - a^{4} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(a^{6} - a^{4} b^{2}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{6} - a^{4} b^{2} + 5 \, {\left(a^{6} - a^{4} b^{2}\right)} \cosh\left(x\right)^{4} + 6 \, {\left(a^{6} - a^{4} b^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(a^{6} - a^{4} b^{2}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(a^{6} - a^{4} b^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{6} - a^{4} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}, -\frac{3 \, {\left(a^{4} b - a^{2} b^{3}\right)} \cosh\left(x\right)^{5} + 3 \, {\left(a^{4} b - a^{2} b^{3}\right)} \sinh\left(x\right)^{5} + 4 \, a^{5} + 2 \, a^{3} b^{2} - 6 \, a b^{4} + 6 \, {\left(a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(2 \, a^{3} b^{2} - 2 \, a b^{4} + 5 \, {\left(a^{4} b - a^{2} b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 6 \, {\left(5 \, {\left(a^{4} b - a^{2} b^{3}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 12 \, {\left(a^{5} - a b^{4}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(2 \, a^{5} - 2 \, a b^{4} + 5 \, {\left(a^{4} b - a^{2} b^{3}\right)} \cosh\left(x\right)^{3} + 6 \, {\left(a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left(b^{4} \cosh\left(x\right)^{6} + 6 \, b^{4} \cosh\left(x\right) \sinh\left(x\right)^{5} + b^{4} \sinh\left(x\right)^{6} + 3 \, b^{4} \cosh\left(x\right)^{4} + 3 \, b^{4} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, b^{4} \cosh\left(x\right)^{2} + b^{4}\right)} \sinh\left(x\right)^{4} + b^{4} + 4 \, {\left(5 \, b^{4} \cosh\left(x\right)^{3} + 3 \, b^{4} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(5 \, b^{4} \cosh\left(x\right)^{4} + 6 \, b^{4} \cosh\left(x\right)^{2} + b^{4}\right)} \sinh\left(x\right)^{2} + 6 \, {\left(b^{4} \cosh\left(x\right)^{5} + 2 \, b^{4} \cosh\left(x\right)^{3} + b^{4} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{-a^{2} + b^{2}} \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{a^{2} - b^{2}}\right) + 3 \, {\left({\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} \sinh\left(x\right)^{6} + a^{4} b + a^{2} b^{3} - 2 \, b^{5} + 3 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5} + 5 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5} + 5 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)^{4} + 6 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)^{3} + {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) - 3 \, {\left(a^{4} b - a^{2} b^{3}\right)} \cosh\left(x\right) - 3 \, {\left(a^{4} b - a^{2} b^{3} - 5 \, {\left(a^{4} b - a^{2} b^{3}\right)} \cosh\left(x\right)^{4} - 8 \, {\left(a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{3} - 8 \, {\left(a^{5} - a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{3 \, {\left({\left(a^{6} - a^{4} b^{2}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{6} - a^{4} b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{6} - a^{4} b^{2}\right)} \sinh\left(x\right)^{6} + a^{6} - a^{4} b^{2} + 3 \, {\left(a^{6} - a^{4} b^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(a^{6} - a^{4} b^{2} + 5 \, {\left(a^{6} - a^{4} b^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(a^{6} - a^{4} b^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{6} - a^{4} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(a^{6} - a^{4} b^{2}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{6} - a^{4} b^{2} + 5 \, {\left(a^{6} - a^{4} b^{2}\right)} \cosh\left(x\right)^{4} + 6 \, {\left(a^{6} - a^{4} b^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(a^{6} - a^{4} b^{2}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(a^{6} - a^{4} b^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{6} - a^{4} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}\right]"," ",0,"[-1/3*(3*(a^4*b - a^2*b^3)*cosh(x)^5 + 3*(a^4*b - a^2*b^3)*sinh(x)^5 + 4*a^5 + 2*a^3*b^2 - 6*a*b^4 + 6*(a^3*b^2 - a*b^4)*cosh(x)^4 + 3*(2*a^3*b^2 - 2*a*b^4 + 5*(a^4*b - a^2*b^3)*cosh(x))*sinh(x)^4 + 6*(5*(a^4*b - a^2*b^3)*cosh(x)^2 + 4*(a^3*b^2 - a*b^4)*cosh(x))*sinh(x)^3 + 12*(a^5 - a*b^4)*cosh(x)^2 + 6*(2*a^5 - 2*a*b^4 + 5*(a^4*b - a^2*b^3)*cosh(x)^3 + 6*(a^3*b^2 - a*b^4)*cosh(x)^2)*sinh(x)^2 - 3*(b^4*cosh(x)^6 + 6*b^4*cosh(x)*sinh(x)^5 + b^4*sinh(x)^6 + 3*b^4*cosh(x)^4 + 3*b^4*cosh(x)^2 + 3*(5*b^4*cosh(x)^2 + b^4)*sinh(x)^4 + b^4 + 4*(5*b^4*cosh(x)^3 + 3*b^4*cosh(x))*sinh(x)^3 + 3*(5*b^4*cosh(x)^4 + 6*b^4*cosh(x)^2 + b^4)*sinh(x)^2 + 6*(b^4*cosh(x)^5 + 2*b^4*cosh(x)^3 + b^4*cosh(x))*sinh(x))*sqrt(a^2 - b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 - b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 - b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) + b)) + 3*((a^4*b + a^2*b^3 - 2*b^5)*cosh(x)^6 + 6*(a^4*b + a^2*b^3 - 2*b^5)*cosh(x)*sinh(x)^5 + (a^4*b + a^2*b^3 - 2*b^5)*sinh(x)^6 + a^4*b + a^2*b^3 - 2*b^5 + 3*(a^4*b + a^2*b^3 - 2*b^5)*cosh(x)^4 + 3*(a^4*b + a^2*b^3 - 2*b^5 + 5*(a^4*b + a^2*b^3 - 2*b^5)*cosh(x)^2)*sinh(x)^4 + 4*(5*(a^4*b + a^2*b^3 - 2*b^5)*cosh(x)^3 + 3*(a^4*b + a^2*b^3 - 2*b^5)*cosh(x))*sinh(x)^3 + 3*(a^4*b + a^2*b^3 - 2*b^5)*cosh(x)^2 + 3*(a^4*b + a^2*b^3 - 2*b^5 + 5*(a^4*b + a^2*b^3 - 2*b^5)*cosh(x)^4 + 6*(a^4*b + a^2*b^3 - 2*b^5)*cosh(x)^2)*sinh(x)^2 + 6*((a^4*b + a^2*b^3 - 2*b^5)*cosh(x)^5 + 2*(a^4*b + a^2*b^3 - 2*b^5)*cosh(x)^3 + (a^4*b + a^2*b^3 - 2*b^5)*cosh(x))*sinh(x))*arctan(cosh(x) + sinh(x)) - 3*(a^4*b - a^2*b^3)*cosh(x) - 3*(a^4*b - a^2*b^3 - 5*(a^4*b - a^2*b^3)*cosh(x)^4 - 8*(a^3*b^2 - a*b^4)*cosh(x)^3 - 8*(a^5 - a*b^4)*cosh(x))*sinh(x))/((a^6 - a^4*b^2)*cosh(x)^6 + 6*(a^6 - a^4*b^2)*cosh(x)*sinh(x)^5 + (a^6 - a^4*b^2)*sinh(x)^6 + a^6 - a^4*b^2 + 3*(a^6 - a^4*b^2)*cosh(x)^4 + 3*(a^6 - a^4*b^2 + 5*(a^6 - a^4*b^2)*cosh(x)^2)*sinh(x)^4 + 4*(5*(a^6 - a^4*b^2)*cosh(x)^3 + 3*(a^6 - a^4*b^2)*cosh(x))*sinh(x)^3 + 3*(a^6 - a^4*b^2)*cosh(x)^2 + 3*(a^6 - a^4*b^2 + 5*(a^6 - a^4*b^2)*cosh(x)^4 + 6*(a^6 - a^4*b^2)*cosh(x)^2)*sinh(x)^2 + 6*((a^6 - a^4*b^2)*cosh(x)^5 + 2*(a^6 - a^4*b^2)*cosh(x)^3 + (a^6 - a^4*b^2)*cosh(x))*sinh(x)), -1/3*(3*(a^4*b - a^2*b^3)*cosh(x)^5 + 3*(a^4*b - a^2*b^3)*sinh(x)^5 + 4*a^5 + 2*a^3*b^2 - 6*a*b^4 + 6*(a^3*b^2 - a*b^4)*cosh(x)^4 + 3*(2*a^3*b^2 - 2*a*b^4 + 5*(a^4*b - a^2*b^3)*cosh(x))*sinh(x)^4 + 6*(5*(a^4*b - a^2*b^3)*cosh(x)^2 + 4*(a^3*b^2 - a*b^4)*cosh(x))*sinh(x)^3 + 12*(a^5 - a*b^4)*cosh(x)^2 + 6*(2*a^5 - 2*a*b^4 + 5*(a^4*b - a^2*b^3)*cosh(x)^3 + 6*(a^3*b^2 - a*b^4)*cosh(x)^2)*sinh(x)^2 + 6*(b^4*cosh(x)^6 + 6*b^4*cosh(x)*sinh(x)^5 + b^4*sinh(x)^6 + 3*b^4*cosh(x)^4 + 3*b^4*cosh(x)^2 + 3*(5*b^4*cosh(x)^2 + b^4)*sinh(x)^4 + b^4 + 4*(5*b^4*cosh(x)^3 + 3*b^4*cosh(x))*sinh(x)^3 + 3*(5*b^4*cosh(x)^4 + 6*b^4*cosh(x)^2 + b^4)*sinh(x)^2 + 6*(b^4*cosh(x)^5 + 2*b^4*cosh(x)^3 + b^4*cosh(x))*sinh(x))*sqrt(-a^2 + b^2)*arctan(-sqrt(-a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a)/(a^2 - b^2)) + 3*((a^4*b + a^2*b^3 - 2*b^5)*cosh(x)^6 + 6*(a^4*b + a^2*b^3 - 2*b^5)*cosh(x)*sinh(x)^5 + (a^4*b + a^2*b^3 - 2*b^5)*sinh(x)^6 + a^4*b + a^2*b^3 - 2*b^5 + 3*(a^4*b + a^2*b^3 - 2*b^5)*cosh(x)^4 + 3*(a^4*b + a^2*b^3 - 2*b^5 + 5*(a^4*b + a^2*b^3 - 2*b^5)*cosh(x)^2)*sinh(x)^4 + 4*(5*(a^4*b + a^2*b^3 - 2*b^5)*cosh(x)^3 + 3*(a^4*b + a^2*b^3 - 2*b^5)*cosh(x))*sinh(x)^3 + 3*(a^4*b + a^2*b^3 - 2*b^5)*cosh(x)^2 + 3*(a^4*b + a^2*b^3 - 2*b^5 + 5*(a^4*b + a^2*b^3 - 2*b^5)*cosh(x)^4 + 6*(a^4*b + a^2*b^3 - 2*b^5)*cosh(x)^2)*sinh(x)^2 + 6*((a^4*b + a^2*b^3 - 2*b^5)*cosh(x)^5 + 2*(a^4*b + a^2*b^3 - 2*b^5)*cosh(x)^3 + (a^4*b + a^2*b^3 - 2*b^5)*cosh(x))*sinh(x))*arctan(cosh(x) + sinh(x)) - 3*(a^4*b - a^2*b^3)*cosh(x) - 3*(a^4*b - a^2*b^3 - 5*(a^4*b - a^2*b^3)*cosh(x)^4 - 8*(a^3*b^2 - a*b^4)*cosh(x)^3 - 8*(a^5 - a*b^4)*cosh(x))*sinh(x))/((a^6 - a^4*b^2)*cosh(x)^6 + 6*(a^6 - a^4*b^2)*cosh(x)*sinh(x)^5 + (a^6 - a^4*b^2)*sinh(x)^6 + a^6 - a^4*b^2 + 3*(a^6 - a^4*b^2)*cosh(x)^4 + 3*(a^6 - a^4*b^2 + 5*(a^6 - a^4*b^2)*cosh(x)^2)*sinh(x)^4 + 4*(5*(a^6 - a^4*b^2)*cosh(x)^3 + 3*(a^6 - a^4*b^2)*cosh(x))*sinh(x)^3 + 3*(a^6 - a^4*b^2)*cosh(x)^2 + 3*(a^6 - a^4*b^2 + 5*(a^6 - a^4*b^2)*cosh(x)^4 + 6*(a^6 - a^4*b^2)*cosh(x)^2)*sinh(x)^2 + 6*((a^6 - a^4*b^2)*cosh(x)^5 + 2*(a^6 - a^4*b^2)*cosh(x)^3 + (a^6 - a^4*b^2)*cosh(x))*sinh(x))]","B",0
62,1,190,0,0.510431," ","integrate((a+b*cosh(d*x+c))^5,x, algorithm=""fricas"")","\frac{3 \, b^{5} \sinh\left(d x + c\right)^{5} + 5 \, {\left(6 \, b^{5} \cosh\left(d x + c\right)^{2} + 30 \, a b^{4} \cosh\left(d x + c\right) + 40 \, a^{2} b^{3} + 5 \, b^{5}\right)} \sinh\left(d x + c\right)^{3} + 30 \, {\left(8 \, a^{5} + 40 \, a^{3} b^{2} + 15 \, a b^{4}\right)} d x + 15 \, {\left(b^{5} \cosh\left(d x + c\right)^{4} + 10 \, a b^{4} \cosh\left(d x + c\right)^{3} + 80 \, a^{4} b + 120 \, a^{2} b^{3} + 10 \, b^{5} + 5 \, {\left(8 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(d x + c\right)^{2} + 40 \, {\left(2 \, a^{3} b^{2} + a b^{4}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}{240 \, d}"," ",0,"1/240*(3*b^5*sinh(d*x + c)^5 + 5*(6*b^5*cosh(d*x + c)^2 + 30*a*b^4*cosh(d*x + c) + 40*a^2*b^3 + 5*b^5)*sinh(d*x + c)^3 + 30*(8*a^5 + 40*a^3*b^2 + 15*a*b^4)*d*x + 15*(b^5*cosh(d*x + c)^4 + 10*a*b^4*cosh(d*x + c)^3 + 80*a^4*b + 120*a^2*b^3 + 10*b^5 + 5*(8*a^2*b^3 + b^5)*cosh(d*x + c)^2 + 40*(2*a^3*b^2 + a*b^4)*cosh(d*x + c))*sinh(d*x + c))/d","A",0
63,1,123,0,0.870805," ","integrate((a+b*cosh(d*x+c))^4,x, algorithm=""fricas"")","\frac{{\left(3 \, b^{4} \cosh\left(d x + c\right) + 8 \, a b^{3}\right)} \sinh\left(d x + c\right)^{3} + 3 \, {\left(8 \, a^{4} + 24 \, a^{2} b^{2} + 3 \, b^{4}\right)} d x + 3 \, {\left(b^{4} \cosh\left(d x + c\right)^{3} + 8 \, a b^{3} \cosh\left(d x + c\right)^{2} + 32 \, a^{3} b + 24 \, a b^{3} + 4 \, {\left(6 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}{24 \, d}"," ",0,"1/24*((3*b^4*cosh(d*x + c) + 8*a*b^3)*sinh(d*x + c)^3 + 3*(8*a^4 + 24*a^2*b^2 + 3*b^4)*d*x + 3*(b^4*cosh(d*x + c)^3 + 8*a*b^3*cosh(d*x + c)^2 + 32*a^3*b + 24*a*b^3 + 4*(6*a^2*b^2 + b^4)*cosh(d*x + c))*sinh(d*x + c))/d","A",0
64,1,78,0,0.628466," ","integrate((a+b*cosh(d*x+c))^3,x, algorithm=""fricas"")","\frac{b^{3} \sinh\left(d x + c\right)^{3} + 6 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} d x + 3 \, {\left(b^{3} \cosh\left(d x + c\right)^{2} + 6 \, a b^{2} \cosh\left(d x + c\right) + 12 \, a^{2} b + 3 \, b^{3}\right)} \sinh\left(d x + c\right)}{12 \, d}"," ",0,"1/12*(b^3*sinh(d*x + c)^3 + 6*(2*a^3 + 3*a*b^2)*d*x + 3*(b^3*cosh(d*x + c)^2 + 6*a*b^2*cosh(d*x + c) + 12*a^2*b + 3*b^3)*sinh(d*x + c))/d","A",0
65,1,40,0,0.519175," ","integrate((a+b*cosh(d*x+c))^2,x, algorithm=""fricas"")","\frac{{\left(2 \, a^{2} + b^{2}\right)} d x + {\left(b^{2} \cosh\left(d x + c\right) + 4 \, a b\right)} \sinh\left(d x + c\right)}{2 \, d}"," ",0,"1/2*((2*a^2 + b^2)*d*x + (b^2*cosh(d*x + c) + 4*a*b)*sinh(d*x + c))/d","A",0
66,1,17,0,0.385853," ","integrate(a+b*cosh(d*x+c),x, algorithm=""fricas"")","\frac{a d x + b \sinh\left(d x + c\right)}{d}"," ",0,"(a*d*x + b*sinh(d*x + c))/d","A",0
67,1,237,0,0.584385," ","integrate(1/(a+b*cosh(d*x+c)),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{b^{2} \cosh\left(d x + c\right)^{2} + b^{2} \sinh\left(d x + c\right)^{2} + 2 \, a b \cosh\left(d x + c\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(d x + c\right) + a b\right)} \sinh\left(d x + c\right) - 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + a\right)}}{b \cosh\left(d x + c\right)^{2} + b \sinh\left(d x + c\right)^{2} + 2 \, a \cosh\left(d x + c\right) + 2 \, {\left(b \cosh\left(d x + c\right) + a\right)} \sinh\left(d x + c\right) + b}\right)}{\sqrt{a^{2} - b^{2}} d}, -\frac{2 \, \sqrt{-a^{2} + b^{2}} \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + a\right)}}{a^{2} - b^{2}}\right)}{{\left(a^{2} - b^{2}\right)} d}\right]"," ",0,"[log((b^2*cosh(d*x + c)^2 + b^2*sinh(d*x + c)^2 + 2*a*b*cosh(d*x + c) + 2*a^2 - b^2 + 2*(b^2*cosh(d*x + c) + a*b)*sinh(d*x + c) - 2*sqrt(a^2 - b^2)*(b*cosh(d*x + c) + b*sinh(d*x + c) + a))/(b*cosh(d*x + c)^2 + b*sinh(d*x + c)^2 + 2*a*cosh(d*x + c) + 2*(b*cosh(d*x + c) + a)*sinh(d*x + c) + b))/(sqrt(a^2 - b^2)*d), -2*sqrt(-a^2 + b^2)*arctan(-sqrt(-a^2 + b^2)*(b*cosh(d*x + c) + b*sinh(d*x + c) + a)/(a^2 - b^2))/((a^2 - b^2)*d)]","A",0
68,1,743,0,0.727335," ","integrate(1/(a+b*cosh(d*x+c))^2,x, algorithm=""fricas"")","\left[\frac{2 \, a^{2} b - 2 \, b^{3} - {\left(a b \cosh\left(d x + c\right)^{2} + a b \sinh\left(d x + c\right)^{2} + 2 \, a^{2} \cosh\left(d x + c\right) + a b + 2 \, {\left(a b \cosh\left(d x + c\right) + a^{2}\right)} \sinh\left(d x + c\right)\right)} \sqrt{a^{2} - b^{2}} \log\left(\frac{b^{2} \cosh\left(d x + c\right)^{2} + b^{2} \sinh\left(d x + c\right)^{2} + 2 \, a b \cosh\left(d x + c\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(d x + c\right) + a b\right)} \sinh\left(d x + c\right) + 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + a\right)}}{b \cosh\left(d x + c\right)^{2} + b \sinh\left(d x + c\right)^{2} + 2 \, a \cosh\left(d x + c\right) + 2 \, {\left(b \cosh\left(d x + c\right) + a\right)} \sinh\left(d x + c\right) + b}\right) + 2 \, {\left(a^{3} - a b^{2}\right)} \cosh\left(d x + c\right) + 2 \, {\left(a^{3} - a b^{2}\right)} \sinh\left(d x + c\right)}{{\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} d \cosh\left(d x + c\right)^{2} + {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} d \sinh\left(d x + c\right)^{2} + 2 \, {\left(a^{5} - 2 \, a^{3} b^{2} + a b^{4}\right)} d \cosh\left(d x + c\right) + {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} d + 2 \, {\left({\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} d \cosh\left(d x + c\right) + {\left(a^{5} - 2 \, a^{3} b^{2} + a b^{4}\right)} d\right)} \sinh\left(d x + c\right)}, \frac{2 \, {\left(a^{2} b - b^{3} - {\left(a b \cosh\left(d x + c\right)^{2} + a b \sinh\left(d x + c\right)^{2} + 2 \, a^{2} \cosh\left(d x + c\right) + a b + 2 \, {\left(a b \cosh\left(d x + c\right) + a^{2}\right)} \sinh\left(d x + c\right)\right)} \sqrt{-a^{2} + b^{2}} \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + a\right)}}{a^{2} - b^{2}}\right) + {\left(a^{3} - a b^{2}\right)} \cosh\left(d x + c\right) + {\left(a^{3} - a b^{2}\right)} \sinh\left(d x + c\right)\right)}}{{\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} d \cosh\left(d x + c\right)^{2} + {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} d \sinh\left(d x + c\right)^{2} + 2 \, {\left(a^{5} - 2 \, a^{3} b^{2} + a b^{4}\right)} d \cosh\left(d x + c\right) + {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} d + 2 \, {\left({\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} d \cosh\left(d x + c\right) + {\left(a^{5} - 2 \, a^{3} b^{2} + a b^{4}\right)} d\right)} \sinh\left(d x + c\right)}\right]"," ",0,"[(2*a^2*b - 2*b^3 - (a*b*cosh(d*x + c)^2 + a*b*sinh(d*x + c)^2 + 2*a^2*cosh(d*x + c) + a*b + 2*(a*b*cosh(d*x + c) + a^2)*sinh(d*x + c))*sqrt(a^2 - b^2)*log((b^2*cosh(d*x + c)^2 + b^2*sinh(d*x + c)^2 + 2*a*b*cosh(d*x + c) + 2*a^2 - b^2 + 2*(b^2*cosh(d*x + c) + a*b)*sinh(d*x + c) + 2*sqrt(a^2 - b^2)*(b*cosh(d*x + c) + b*sinh(d*x + c) + a))/(b*cosh(d*x + c)^2 + b*sinh(d*x + c)^2 + 2*a*cosh(d*x + c) + 2*(b*cosh(d*x + c) + a)*sinh(d*x + c) + b)) + 2*(a^3 - a*b^2)*cosh(d*x + c) + 2*(a^3 - a*b^2)*sinh(d*x + c))/((a^4*b - 2*a^2*b^3 + b^5)*d*cosh(d*x + c)^2 + (a^4*b - 2*a^2*b^3 + b^5)*d*sinh(d*x + c)^2 + 2*(a^5 - 2*a^3*b^2 + a*b^4)*d*cosh(d*x + c) + (a^4*b - 2*a^2*b^3 + b^5)*d + 2*((a^4*b - 2*a^2*b^3 + b^5)*d*cosh(d*x + c) + (a^5 - 2*a^3*b^2 + a*b^4)*d)*sinh(d*x + c)), 2*(a^2*b - b^3 - (a*b*cosh(d*x + c)^2 + a*b*sinh(d*x + c)^2 + 2*a^2*cosh(d*x + c) + a*b + 2*(a*b*cosh(d*x + c) + a^2)*sinh(d*x + c))*sqrt(-a^2 + b^2)*arctan(-sqrt(-a^2 + b^2)*(b*cosh(d*x + c) + b*sinh(d*x + c) + a)/(a^2 - b^2)) + (a^3 - a*b^2)*cosh(d*x + c) + (a^3 - a*b^2)*sinh(d*x + c))/((a^4*b - 2*a^2*b^3 + b^5)*d*cosh(d*x + c)^2 + (a^4*b - 2*a^2*b^3 + b^5)*d*sinh(d*x + c)^2 + 2*(a^5 - 2*a^3*b^2 + a*b^4)*d*cosh(d*x + c) + (a^4*b - 2*a^2*b^3 + b^5)*d + 2*((a^4*b - 2*a^2*b^3 + b^5)*d*cosh(d*x + c) + (a^5 - 2*a^3*b^2 + a*b^4)*d)*sinh(d*x + c))]","B",0
69,1,2591,0,0.546842," ","integrate(1/(a+b*cosh(d*x+c))^3,x, algorithm=""fricas"")","\left[\frac{6 \, a^{3} b^{2} - 6 \, a b^{4} + 2 \, {\left(2 \, a^{4} b - a^{2} b^{3} - b^{5}\right)} \cosh\left(d x + c\right)^{3} + 2 \, {\left(2 \, a^{4} b - a^{2} b^{3} - b^{5}\right)} \sinh\left(d x + c\right)^{3} + 6 \, {\left(2 \, a^{5} - a^{3} b^{2} - a b^{4}\right)} \cosh\left(d x + c\right)^{2} + 6 \, {\left(2 \, a^{5} - a^{3} b^{2} - a b^{4} + {\left(2 \, a^{4} b - a^{2} b^{3} - b^{5}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{2} + {\left({\left(2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(d x + c\right)^{4} + {\left(2 \, a^{2} b^{2} + b^{4}\right)} \sinh\left(d x + c\right)^{4} + 2 \, a^{2} b^{2} + b^{4} + 4 \, {\left(2 \, a^{3} b + a b^{3}\right)} \cosh\left(d x + c\right)^{3} + 4 \, {\left(2 \, a^{3} b + a b^{3} + {\left(2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} + 2 \, {\left(4 \, a^{4} + 4 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(4 \, a^{4} + 4 \, a^{2} b^{2} + b^{4} + 3 \, {\left(2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(d x + c\right)^{2} + 6 \, {\left(2 \, a^{3} b + a b^{3}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{2} + 4 \, {\left(2 \, a^{3} b + a b^{3}\right)} \cosh\left(d x + c\right) + 4 \, {\left(2 \, a^{3} b + a b^{3} + {\left(2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(d x + c\right)^{3} + 3 \, {\left(2 \, a^{3} b + a b^{3}\right)} \cosh\left(d x + c\right)^{2} + {\left(4 \, a^{4} + 4 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)} \sqrt{a^{2} - b^{2}} \log\left(\frac{b^{2} \cosh\left(d x + c\right)^{2} + b^{2} \sinh\left(d x + c\right)^{2} + 2 \, a b \cosh\left(d x + c\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(d x + c\right) + a b\right)} \sinh\left(d x + c\right) - 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + a\right)}}{b \cosh\left(d x + c\right)^{2} + b \sinh\left(d x + c\right)^{2} + 2 \, a \cosh\left(d x + c\right) + 2 \, {\left(b \cosh\left(d x + c\right) + a\right)} \sinh\left(d x + c\right) + b}\right) + 2 \, {\left(10 \, a^{4} b - 11 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(d x + c\right) + 2 \, {\left(10 \, a^{4} b - 11 \, a^{2} b^{3} + b^{5} + 3 \, {\left(2 \, a^{4} b - a^{2} b^{3} - b^{5}\right)} \cosh\left(d x + c\right)^{2} + 6 \, {\left(2 \, a^{5} - a^{3} b^{2} - a b^{4}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}{2 \, {\left({\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} d \cosh\left(d x + c\right)^{4} + {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} d \sinh\left(d x + c\right)^{4} + 4 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} d \cosh\left(d x + c\right)^{3} + 2 \, {\left(2 \, a^{8} - 5 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6} - b^{8}\right)} d \cosh\left(d x + c\right)^{2} + 4 \, {\left({\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} d \cosh\left(d x + c\right) + {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} d\right)} \sinh\left(d x + c\right)^{3} + 4 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} d \cosh\left(d x + c\right) + 2 \, {\left(3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} d \cosh\left(d x + c\right)^{2} + 6 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} d \cosh\left(d x + c\right) + {\left(2 \, a^{8} - 5 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6} - b^{8}\right)} d\right)} \sinh\left(d x + c\right)^{2} + {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} d + 4 \, {\left({\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} d \cosh\left(d x + c\right)^{3} + 3 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} d \cosh\left(d x + c\right)^{2} + {\left(2 \, a^{8} - 5 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6} - b^{8}\right)} d \cosh\left(d x + c\right) + {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} d\right)} \sinh\left(d x + c\right)\right)}}, \frac{3 \, a^{3} b^{2} - 3 \, a b^{4} + {\left(2 \, a^{4} b - a^{2} b^{3} - b^{5}\right)} \cosh\left(d x + c\right)^{3} + {\left(2 \, a^{4} b - a^{2} b^{3} - b^{5}\right)} \sinh\left(d x + c\right)^{3} + 3 \, {\left(2 \, a^{5} - a^{3} b^{2} - a b^{4}\right)} \cosh\left(d x + c\right)^{2} + 3 \, {\left(2 \, a^{5} - a^{3} b^{2} - a b^{4} + {\left(2 \, a^{4} b - a^{2} b^{3} - b^{5}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{2} - {\left({\left(2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(d x + c\right)^{4} + {\left(2 \, a^{2} b^{2} + b^{4}\right)} \sinh\left(d x + c\right)^{4} + 2 \, a^{2} b^{2} + b^{4} + 4 \, {\left(2 \, a^{3} b + a b^{3}\right)} \cosh\left(d x + c\right)^{3} + 4 \, {\left(2 \, a^{3} b + a b^{3} + {\left(2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} + 2 \, {\left(4 \, a^{4} + 4 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(4 \, a^{4} + 4 \, a^{2} b^{2} + b^{4} + 3 \, {\left(2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(d x + c\right)^{2} + 6 \, {\left(2 \, a^{3} b + a b^{3}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{2} + 4 \, {\left(2 \, a^{3} b + a b^{3}\right)} \cosh\left(d x + c\right) + 4 \, {\left(2 \, a^{3} b + a b^{3} + {\left(2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(d x + c\right)^{3} + 3 \, {\left(2 \, a^{3} b + a b^{3}\right)} \cosh\left(d x + c\right)^{2} + {\left(4 \, a^{4} + 4 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)} \sqrt{-a^{2} + b^{2}} \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + a\right)}}{a^{2} - b^{2}}\right) + {\left(10 \, a^{4} b - 11 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(d x + c\right) + {\left(10 \, a^{4} b - 11 \, a^{2} b^{3} + b^{5} + 3 \, {\left(2 \, a^{4} b - a^{2} b^{3} - b^{5}\right)} \cosh\left(d x + c\right)^{2} + 6 \, {\left(2 \, a^{5} - a^{3} b^{2} - a b^{4}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}{{\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} d \cosh\left(d x + c\right)^{4} + {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} d \sinh\left(d x + c\right)^{4} + 4 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} d \cosh\left(d x + c\right)^{3} + 2 \, {\left(2 \, a^{8} - 5 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6} - b^{8}\right)} d \cosh\left(d x + c\right)^{2} + 4 \, {\left({\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} d \cosh\left(d x + c\right) + {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} d\right)} \sinh\left(d x + c\right)^{3} + 4 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} d \cosh\left(d x + c\right) + 2 \, {\left(3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} d \cosh\left(d x + c\right)^{2} + 6 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} d \cosh\left(d x + c\right) + {\left(2 \, a^{8} - 5 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6} - b^{8}\right)} d\right)} \sinh\left(d x + c\right)^{2} + {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} d + 4 \, {\left({\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} d \cosh\left(d x + c\right)^{3} + 3 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} d \cosh\left(d x + c\right)^{2} + {\left(2 \, a^{8} - 5 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6} - b^{8}\right)} d \cosh\left(d x + c\right) + {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} d\right)} \sinh\left(d x + c\right)}\right]"," ",0,"[1/2*(6*a^3*b^2 - 6*a*b^4 + 2*(2*a^4*b - a^2*b^3 - b^5)*cosh(d*x + c)^3 + 2*(2*a^4*b - a^2*b^3 - b^5)*sinh(d*x + c)^3 + 6*(2*a^5 - a^3*b^2 - a*b^4)*cosh(d*x + c)^2 + 6*(2*a^5 - a^3*b^2 - a*b^4 + (2*a^4*b - a^2*b^3 - b^5)*cosh(d*x + c))*sinh(d*x + c)^2 + ((2*a^2*b^2 + b^4)*cosh(d*x + c)^4 + (2*a^2*b^2 + b^4)*sinh(d*x + c)^4 + 2*a^2*b^2 + b^4 + 4*(2*a^3*b + a*b^3)*cosh(d*x + c)^3 + 4*(2*a^3*b + a*b^3 + (2*a^2*b^2 + b^4)*cosh(d*x + c))*sinh(d*x + c)^3 + 2*(4*a^4 + 4*a^2*b^2 + b^4)*cosh(d*x + c)^2 + 2*(4*a^4 + 4*a^2*b^2 + b^4 + 3*(2*a^2*b^2 + b^4)*cosh(d*x + c)^2 + 6*(2*a^3*b + a*b^3)*cosh(d*x + c))*sinh(d*x + c)^2 + 4*(2*a^3*b + a*b^3)*cosh(d*x + c) + 4*(2*a^3*b + a*b^3 + (2*a^2*b^2 + b^4)*cosh(d*x + c)^3 + 3*(2*a^3*b + a*b^3)*cosh(d*x + c)^2 + (4*a^4 + 4*a^2*b^2 + b^4)*cosh(d*x + c))*sinh(d*x + c))*sqrt(a^2 - b^2)*log((b^2*cosh(d*x + c)^2 + b^2*sinh(d*x + c)^2 + 2*a*b*cosh(d*x + c) + 2*a^2 - b^2 + 2*(b^2*cosh(d*x + c) + a*b)*sinh(d*x + c) - 2*sqrt(a^2 - b^2)*(b*cosh(d*x + c) + b*sinh(d*x + c) + a))/(b*cosh(d*x + c)^2 + b*sinh(d*x + c)^2 + 2*a*cosh(d*x + c) + 2*(b*cosh(d*x + c) + a)*sinh(d*x + c) + b)) + 2*(10*a^4*b - 11*a^2*b^3 + b^5)*cosh(d*x + c) + 2*(10*a^4*b - 11*a^2*b^3 + b^5 + 3*(2*a^4*b - a^2*b^3 - b^5)*cosh(d*x + c)^2 + 6*(2*a^5 - a^3*b^2 - a*b^4)*cosh(d*x + c))*sinh(d*x + c))/((a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*d*cosh(d*x + c)^4 + (a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*d*sinh(d*x + c)^4 + 4*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*d*cosh(d*x + c)^3 + 2*(2*a^8 - 5*a^6*b^2 + 3*a^4*b^4 + a^2*b^6 - b^8)*d*cosh(d*x + c)^2 + 4*((a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*d*cosh(d*x + c) + (a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*d)*sinh(d*x + c)^3 + 4*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*d*cosh(d*x + c) + 2*(3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*d*cosh(d*x + c)^2 + 6*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*d*cosh(d*x + c) + (2*a^8 - 5*a^6*b^2 + 3*a^4*b^4 + a^2*b^6 - b^8)*d)*sinh(d*x + c)^2 + (a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*d + 4*((a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*d*cosh(d*x + c)^3 + 3*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*d*cosh(d*x + c)^2 + (2*a^8 - 5*a^6*b^2 + 3*a^4*b^4 + a^2*b^6 - b^8)*d*cosh(d*x + c) + (a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*d)*sinh(d*x + c)), (3*a^3*b^2 - 3*a*b^4 + (2*a^4*b - a^2*b^3 - b^5)*cosh(d*x + c)^3 + (2*a^4*b - a^2*b^3 - b^5)*sinh(d*x + c)^3 + 3*(2*a^5 - a^3*b^2 - a*b^4)*cosh(d*x + c)^2 + 3*(2*a^5 - a^3*b^2 - a*b^4 + (2*a^4*b - a^2*b^3 - b^5)*cosh(d*x + c))*sinh(d*x + c)^2 - ((2*a^2*b^2 + b^4)*cosh(d*x + c)^4 + (2*a^2*b^2 + b^4)*sinh(d*x + c)^4 + 2*a^2*b^2 + b^4 + 4*(2*a^3*b + a*b^3)*cosh(d*x + c)^3 + 4*(2*a^3*b + a*b^3 + (2*a^2*b^2 + b^4)*cosh(d*x + c))*sinh(d*x + c)^3 + 2*(4*a^4 + 4*a^2*b^2 + b^4)*cosh(d*x + c)^2 + 2*(4*a^4 + 4*a^2*b^2 + b^4 + 3*(2*a^2*b^2 + b^4)*cosh(d*x + c)^2 + 6*(2*a^3*b + a*b^3)*cosh(d*x + c))*sinh(d*x + c)^2 + 4*(2*a^3*b + a*b^3)*cosh(d*x + c) + 4*(2*a^3*b + a*b^3 + (2*a^2*b^2 + b^4)*cosh(d*x + c)^3 + 3*(2*a^3*b + a*b^3)*cosh(d*x + c)^2 + (4*a^4 + 4*a^2*b^2 + b^4)*cosh(d*x + c))*sinh(d*x + c))*sqrt(-a^2 + b^2)*arctan(-sqrt(-a^2 + b^2)*(b*cosh(d*x + c) + b*sinh(d*x + c) + a)/(a^2 - b^2)) + (10*a^4*b - 11*a^2*b^3 + b^5)*cosh(d*x + c) + (10*a^4*b - 11*a^2*b^3 + b^5 + 3*(2*a^4*b - a^2*b^3 - b^5)*cosh(d*x + c)^2 + 6*(2*a^5 - a^3*b^2 - a*b^4)*cosh(d*x + c))*sinh(d*x + c))/((a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*d*cosh(d*x + c)^4 + (a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*d*sinh(d*x + c)^4 + 4*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*d*cosh(d*x + c)^3 + 2*(2*a^8 - 5*a^6*b^2 + 3*a^4*b^4 + a^2*b^6 - b^8)*d*cosh(d*x + c)^2 + 4*((a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*d*cosh(d*x + c) + (a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*d)*sinh(d*x + c)^3 + 4*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*d*cosh(d*x + c) + 2*(3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*d*cosh(d*x + c)^2 + 6*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*d*cosh(d*x + c) + (2*a^8 - 5*a^6*b^2 + 3*a^4*b^4 + a^2*b^6 - b^8)*d)*sinh(d*x + c)^2 + (a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*d + 4*((a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*d*cosh(d*x + c)^3 + 3*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*d*cosh(d*x + c)^2 + (2*a^8 - 5*a^6*b^2 + 3*a^4*b^4 + a^2*b^6 - b^8)*d*cosh(d*x + c) + (a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*d)*sinh(d*x + c))]","B",0
70,1,5705,0,0.679469," ","integrate(1/(a+b*cosh(d*x+c))^4,x, algorithm=""fricas"")","\left[\frac{22 \, a^{4} b^{3} - 14 \, a^{2} b^{5} - 8 \, b^{7} + 6 \, {\left(2 \, a^{5} b^{2} + a^{3} b^{4} - 3 \, a b^{6}\right)} \cosh\left(d x + c\right)^{5} + 6 \, {\left(2 \, a^{5} b^{2} + a^{3} b^{4} - 3 \, a b^{6}\right)} \sinh\left(d x + c\right)^{5} + 30 \, {\left(2 \, a^{6} b + a^{4} b^{3} - 3 \, a^{2} b^{5}\right)} \cosh\left(d x + c\right)^{4} + 30 \, {\left(2 \, a^{6} b + a^{4} b^{3} - 3 \, a^{2} b^{5} + {\left(2 \, a^{5} b^{2} + a^{3} b^{4} - 3 \, a b^{6}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{4} + 4 \, {\left(22 \, a^{7} + 19 \, a^{5} b^{2} - 29 \, a^{3} b^{4} - 12 \, a b^{6}\right)} \cosh\left(d x + c\right)^{3} + 4 \, {\left(22 \, a^{7} + 19 \, a^{5} b^{2} - 29 \, a^{3} b^{4} - 12 \, a b^{6} + 15 \, {\left(2 \, a^{5} b^{2} + a^{3} b^{4} - 3 \, a b^{6}\right)} \cosh\left(d x + c\right)^{2} + 30 \, {\left(2 \, a^{6} b + a^{4} b^{3} - 3 \, a^{2} b^{5}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} + 12 \, {\left(17 \, a^{6} b - 11 \, a^{4} b^{3} - 4 \, a^{2} b^{5} - 2 \, b^{7}\right)} \cosh\left(d x + c\right)^{2} + 12 \, {\left(17 \, a^{6} b - 11 \, a^{4} b^{3} - 4 \, a^{2} b^{5} - 2 \, b^{7} + 5 \, {\left(2 \, a^{5} b^{2} + a^{3} b^{4} - 3 \, a b^{6}\right)} \cosh\left(d x + c\right)^{3} + 15 \, {\left(2 \, a^{6} b + a^{4} b^{3} - 3 \, a^{2} b^{5}\right)} \cosh\left(d x + c\right)^{2} + {\left(22 \, a^{7} + 19 \, a^{5} b^{2} - 29 \, a^{3} b^{4} - 12 \, a b^{6}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{2} - 3 \, {\left({\left(2 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(d x + c\right)^{6} + {\left(2 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \sinh\left(d x + c\right)^{6} + 2 \, a^{3} b^{3} + 3 \, a b^{5} + 6 \, {\left(2 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(d x + c\right)^{5} + 6 \, {\left(2 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + {\left(2 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{5} + 3 \, {\left(8 \, a^{5} b + 14 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(d x + c\right)^{4} + 3 \, {\left(8 \, a^{5} b + 14 \, a^{3} b^{3} + 3 \, a b^{5} + 5 \, {\left(2 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(d x + c\right)^{2} + 10 \, {\left(2 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{4} + 4 \, {\left(4 \, a^{6} + 12 \, a^{4} b^{2} + 9 \, a^{2} b^{4}\right)} \cosh\left(d x + c\right)^{3} + 4 \, {\left(4 \, a^{6} + 12 \, a^{4} b^{2} + 9 \, a^{2} b^{4} + 5 \, {\left(2 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(d x + c\right)^{3} + 15 \, {\left(2 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(d x + c\right)^{2} + 3 \, {\left(8 \, a^{5} b + 14 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} + 3 \, {\left(8 \, a^{5} b + 14 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(d x + c\right)^{2} + 3 \, {\left(8 \, a^{5} b + 14 \, a^{3} b^{3} + 3 \, a b^{5} + 5 \, {\left(2 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(d x + c\right)^{4} + 20 \, {\left(2 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(d x + c\right)^{3} + 6 \, {\left(8 \, a^{5} b + 14 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(d x + c\right)^{2} + 4 \, {\left(4 \, a^{6} + 12 \, a^{4} b^{2} + 9 \, a^{2} b^{4}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{2} + 6 \, {\left(2 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(d x + c\right) + 6 \, {\left(2 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + {\left(2 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(d x + c\right)^{5} + 5 \, {\left(2 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(d x + c\right)^{4} + 2 \, {\left(8 \, a^{5} b + 14 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(d x + c\right)^{3} + 2 \, {\left(4 \, a^{6} + 12 \, a^{4} b^{2} + 9 \, a^{2} b^{4}\right)} \cosh\left(d x + c\right)^{2} + {\left(8 \, a^{5} b + 14 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)} \sqrt{a^{2} - b^{2}} \log\left(\frac{b^{2} \cosh\left(d x + c\right)^{2} + b^{2} \sinh\left(d x + c\right)^{2} + 2 \, a b \cosh\left(d x + c\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(d x + c\right) + a b\right)} \sinh\left(d x + c\right) + 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + a\right)}}{b \cosh\left(d x + c\right)^{2} + b \sinh\left(d x + c\right)^{2} + 2 \, a \cosh\left(d x + c\right) + 2 \, {\left(b \cosh\left(d x + c\right) + a\right)} \sinh\left(d x + c\right) + b}\right) + 30 \, {\left(4 \, a^{5} b^{2} - 3 \, a^{3} b^{4} - a b^{6}\right)} \cosh\left(d x + c\right) + 6 \, {\left(20 \, a^{5} b^{2} - 15 \, a^{3} b^{4} - 5 \, a b^{6} + 5 \, {\left(2 \, a^{5} b^{2} + a^{3} b^{4} - 3 \, a b^{6}\right)} \cosh\left(d x + c\right)^{4} + 20 \, {\left(2 \, a^{6} b + a^{4} b^{3} - 3 \, a^{2} b^{5}\right)} \cosh\left(d x + c\right)^{3} + 2 \, {\left(22 \, a^{7} + 19 \, a^{5} b^{2} - 29 \, a^{3} b^{4} - 12 \, a b^{6}\right)} \cosh\left(d x + c\right)^{2} + 4 \, {\left(17 \, a^{6} b - 11 \, a^{4} b^{3} - 4 \, a^{2} b^{5} - 2 \, b^{7}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}{6 \, {\left({\left(a^{8} b^{3} - 4 \, a^{6} b^{5} + 6 \, a^{4} b^{7} - 4 \, a^{2} b^{9} + b^{11}\right)} d \cosh\left(d x + c\right)^{6} + {\left(a^{8} b^{3} - 4 \, a^{6} b^{5} + 6 \, a^{4} b^{7} - 4 \, a^{2} b^{9} + b^{11}\right)} d \sinh\left(d x + c\right)^{6} + 6 \, {\left(a^{9} b^{2} - 4 \, a^{7} b^{4} + 6 \, a^{5} b^{6} - 4 \, a^{3} b^{8} + a b^{10}\right)} d \cosh\left(d x + c\right)^{5} + 3 \, {\left(4 \, a^{10} b - 15 \, a^{8} b^{3} + 20 \, a^{6} b^{5} - 10 \, a^{4} b^{7} + b^{11}\right)} d \cosh\left(d x + c\right)^{4} + 6 \, {\left({\left(a^{8} b^{3} - 4 \, a^{6} b^{5} + 6 \, a^{4} b^{7} - 4 \, a^{2} b^{9} + b^{11}\right)} d \cosh\left(d x + c\right) + {\left(a^{9} b^{2} - 4 \, a^{7} b^{4} + 6 \, a^{5} b^{6} - 4 \, a^{3} b^{8} + a b^{10}\right)} d\right)} \sinh\left(d x + c\right)^{5} + 4 \, {\left(2 \, a^{11} - 5 \, a^{9} b^{2} + 10 \, a^{5} b^{6} - 10 \, a^{3} b^{8} + 3 \, a b^{10}\right)} d \cosh\left(d x + c\right)^{3} + 3 \, {\left(5 \, {\left(a^{8} b^{3} - 4 \, a^{6} b^{5} + 6 \, a^{4} b^{7} - 4 \, a^{2} b^{9} + b^{11}\right)} d \cosh\left(d x + c\right)^{2} + 10 \, {\left(a^{9} b^{2} - 4 \, a^{7} b^{4} + 6 \, a^{5} b^{6} - 4 \, a^{3} b^{8} + a b^{10}\right)} d \cosh\left(d x + c\right) + {\left(4 \, a^{10} b - 15 \, a^{8} b^{3} + 20 \, a^{6} b^{5} - 10 \, a^{4} b^{7} + b^{11}\right)} d\right)} \sinh\left(d x + c\right)^{4} + 3 \, {\left(4 \, a^{10} b - 15 \, a^{8} b^{3} + 20 \, a^{6} b^{5} - 10 \, a^{4} b^{7} + b^{11}\right)} d \cosh\left(d x + c\right)^{2} + 4 \, {\left(5 \, {\left(a^{8} b^{3} - 4 \, a^{6} b^{5} + 6 \, a^{4} b^{7} - 4 \, a^{2} b^{9} + b^{11}\right)} d \cosh\left(d x + c\right)^{3} + 15 \, {\left(a^{9} b^{2} - 4 \, a^{7} b^{4} + 6 \, a^{5} b^{6} - 4 \, a^{3} b^{8} + a b^{10}\right)} d \cosh\left(d x + c\right)^{2} + 3 \, {\left(4 \, a^{10} b - 15 \, a^{8} b^{3} + 20 \, a^{6} b^{5} - 10 \, a^{4} b^{7} + b^{11}\right)} d \cosh\left(d x + c\right) + {\left(2 \, a^{11} - 5 \, a^{9} b^{2} + 10 \, a^{5} b^{6} - 10 \, a^{3} b^{8} + 3 \, a b^{10}\right)} d\right)} \sinh\left(d x + c\right)^{3} + 6 \, {\left(a^{9} b^{2} - 4 \, a^{7} b^{4} + 6 \, a^{5} b^{6} - 4 \, a^{3} b^{8} + a b^{10}\right)} d \cosh\left(d x + c\right) + 3 \, {\left(5 \, {\left(a^{8} b^{3} - 4 \, a^{6} b^{5} + 6 \, a^{4} b^{7} - 4 \, a^{2} b^{9} + b^{11}\right)} d \cosh\left(d x + c\right)^{4} + 20 \, {\left(a^{9} b^{2} - 4 \, a^{7} b^{4} + 6 \, a^{5} b^{6} - 4 \, a^{3} b^{8} + a b^{10}\right)} d \cosh\left(d x + c\right)^{3} + 6 \, {\left(4 \, a^{10} b - 15 \, a^{8} b^{3} + 20 \, a^{6} b^{5} - 10 \, a^{4} b^{7} + b^{11}\right)} d \cosh\left(d x + c\right)^{2} + 4 \, {\left(2 \, a^{11} - 5 \, a^{9} b^{2} + 10 \, a^{5} b^{6} - 10 \, a^{3} b^{8} + 3 \, a b^{10}\right)} d \cosh\left(d x + c\right) + {\left(4 \, a^{10} b - 15 \, a^{8} b^{3} + 20 \, a^{6} b^{5} - 10 \, a^{4} b^{7} + b^{11}\right)} d\right)} \sinh\left(d x + c\right)^{2} + {\left(a^{8} b^{3} - 4 \, a^{6} b^{5} + 6 \, a^{4} b^{7} - 4 \, a^{2} b^{9} + b^{11}\right)} d + 6 \, {\left({\left(a^{8} b^{3} - 4 \, a^{6} b^{5} + 6 \, a^{4} b^{7} - 4 \, a^{2} b^{9} + b^{11}\right)} d \cosh\left(d x + c\right)^{5} + 5 \, {\left(a^{9} b^{2} - 4 \, a^{7} b^{4} + 6 \, a^{5} b^{6} - 4 \, a^{3} b^{8} + a b^{10}\right)} d \cosh\left(d x + c\right)^{4} + 2 \, {\left(4 \, a^{10} b - 15 \, a^{8} b^{3} + 20 \, a^{6} b^{5} - 10 \, a^{4} b^{7} + b^{11}\right)} d \cosh\left(d x + c\right)^{3} + 2 \, {\left(2 \, a^{11} - 5 \, a^{9} b^{2} + 10 \, a^{5} b^{6} - 10 \, a^{3} b^{8} + 3 \, a b^{10}\right)} d \cosh\left(d x + c\right)^{2} + {\left(4 \, a^{10} b - 15 \, a^{8} b^{3} + 20 \, a^{6} b^{5} - 10 \, a^{4} b^{7} + b^{11}\right)} d \cosh\left(d x + c\right) + {\left(a^{9} b^{2} - 4 \, a^{7} b^{4} + 6 \, a^{5} b^{6} - 4 \, a^{3} b^{8} + a b^{10}\right)} d\right)} \sinh\left(d x + c\right)\right)}}, \frac{11 \, a^{4} b^{3} - 7 \, a^{2} b^{5} - 4 \, b^{7} + 3 \, {\left(2 \, a^{5} b^{2} + a^{3} b^{4} - 3 \, a b^{6}\right)} \cosh\left(d x + c\right)^{5} + 3 \, {\left(2 \, a^{5} b^{2} + a^{3} b^{4} - 3 \, a b^{6}\right)} \sinh\left(d x + c\right)^{5} + 15 \, {\left(2 \, a^{6} b + a^{4} b^{3} - 3 \, a^{2} b^{5}\right)} \cosh\left(d x + c\right)^{4} + 15 \, {\left(2 \, a^{6} b + a^{4} b^{3} - 3 \, a^{2} b^{5} + {\left(2 \, a^{5} b^{2} + a^{3} b^{4} - 3 \, a b^{6}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{4} + 2 \, {\left(22 \, a^{7} + 19 \, a^{5} b^{2} - 29 \, a^{3} b^{4} - 12 \, a b^{6}\right)} \cosh\left(d x + c\right)^{3} + 2 \, {\left(22 \, a^{7} + 19 \, a^{5} b^{2} - 29 \, a^{3} b^{4} - 12 \, a b^{6} + 15 \, {\left(2 \, a^{5} b^{2} + a^{3} b^{4} - 3 \, a b^{6}\right)} \cosh\left(d x + c\right)^{2} + 30 \, {\left(2 \, a^{6} b + a^{4} b^{3} - 3 \, a^{2} b^{5}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} + 6 \, {\left(17 \, a^{6} b - 11 \, a^{4} b^{3} - 4 \, a^{2} b^{5} - 2 \, b^{7}\right)} \cosh\left(d x + c\right)^{2} + 6 \, {\left(17 \, a^{6} b - 11 \, a^{4} b^{3} - 4 \, a^{2} b^{5} - 2 \, b^{7} + 5 \, {\left(2 \, a^{5} b^{2} + a^{3} b^{4} - 3 \, a b^{6}\right)} \cosh\left(d x + c\right)^{3} + 15 \, {\left(2 \, a^{6} b + a^{4} b^{3} - 3 \, a^{2} b^{5}\right)} \cosh\left(d x + c\right)^{2} + {\left(22 \, a^{7} + 19 \, a^{5} b^{2} - 29 \, a^{3} b^{4} - 12 \, a b^{6}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{2} - 3 \, {\left({\left(2 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(d x + c\right)^{6} + {\left(2 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \sinh\left(d x + c\right)^{6} + 2 \, a^{3} b^{3} + 3 \, a b^{5} + 6 \, {\left(2 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(d x + c\right)^{5} + 6 \, {\left(2 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + {\left(2 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{5} + 3 \, {\left(8 \, a^{5} b + 14 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(d x + c\right)^{4} + 3 \, {\left(8 \, a^{5} b + 14 \, a^{3} b^{3} + 3 \, a b^{5} + 5 \, {\left(2 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(d x + c\right)^{2} + 10 \, {\left(2 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{4} + 4 \, {\left(4 \, a^{6} + 12 \, a^{4} b^{2} + 9 \, a^{2} b^{4}\right)} \cosh\left(d x + c\right)^{3} + 4 \, {\left(4 \, a^{6} + 12 \, a^{4} b^{2} + 9 \, a^{2} b^{4} + 5 \, {\left(2 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(d x + c\right)^{3} + 15 \, {\left(2 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(d x + c\right)^{2} + 3 \, {\left(8 \, a^{5} b + 14 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} + 3 \, {\left(8 \, a^{5} b + 14 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(d x + c\right)^{2} + 3 \, {\left(8 \, a^{5} b + 14 \, a^{3} b^{3} + 3 \, a b^{5} + 5 \, {\left(2 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(d x + c\right)^{4} + 20 \, {\left(2 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(d x + c\right)^{3} + 6 \, {\left(8 \, a^{5} b + 14 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(d x + c\right)^{2} + 4 \, {\left(4 \, a^{6} + 12 \, a^{4} b^{2} + 9 \, a^{2} b^{4}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{2} + 6 \, {\left(2 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(d x + c\right) + 6 \, {\left(2 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + {\left(2 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(d x + c\right)^{5} + 5 \, {\left(2 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(d x + c\right)^{4} + 2 \, {\left(8 \, a^{5} b + 14 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(d x + c\right)^{3} + 2 \, {\left(4 \, a^{6} + 12 \, a^{4} b^{2} + 9 \, a^{2} b^{4}\right)} \cosh\left(d x + c\right)^{2} + {\left(8 \, a^{5} b + 14 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)} \sqrt{-a^{2} + b^{2}} \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + a\right)}}{a^{2} - b^{2}}\right) + 15 \, {\left(4 \, a^{5} b^{2} - 3 \, a^{3} b^{4} - a b^{6}\right)} \cosh\left(d x + c\right) + 3 \, {\left(20 \, a^{5} b^{2} - 15 \, a^{3} b^{4} - 5 \, a b^{6} + 5 \, {\left(2 \, a^{5} b^{2} + a^{3} b^{4} - 3 \, a b^{6}\right)} \cosh\left(d x + c\right)^{4} + 20 \, {\left(2 \, a^{6} b + a^{4} b^{3} - 3 \, a^{2} b^{5}\right)} \cosh\left(d x + c\right)^{3} + 2 \, {\left(22 \, a^{7} + 19 \, a^{5} b^{2} - 29 \, a^{3} b^{4} - 12 \, a b^{6}\right)} \cosh\left(d x + c\right)^{2} + 4 \, {\left(17 \, a^{6} b - 11 \, a^{4} b^{3} - 4 \, a^{2} b^{5} - 2 \, b^{7}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}{3 \, {\left({\left(a^{8} b^{3} - 4 \, a^{6} b^{5} + 6 \, a^{4} b^{7} - 4 \, a^{2} b^{9} + b^{11}\right)} d \cosh\left(d x + c\right)^{6} + {\left(a^{8} b^{3} - 4 \, a^{6} b^{5} + 6 \, a^{4} b^{7} - 4 \, a^{2} b^{9} + b^{11}\right)} d \sinh\left(d x + c\right)^{6} + 6 \, {\left(a^{9} b^{2} - 4 \, a^{7} b^{4} + 6 \, a^{5} b^{6} - 4 \, a^{3} b^{8} + a b^{10}\right)} d \cosh\left(d x + c\right)^{5} + 3 \, {\left(4 \, a^{10} b - 15 \, a^{8} b^{3} + 20 \, a^{6} b^{5} - 10 \, a^{4} b^{7} + b^{11}\right)} d \cosh\left(d x + c\right)^{4} + 6 \, {\left({\left(a^{8} b^{3} - 4 \, a^{6} b^{5} + 6 \, a^{4} b^{7} - 4 \, a^{2} b^{9} + b^{11}\right)} d \cosh\left(d x + c\right) + {\left(a^{9} b^{2} - 4 \, a^{7} b^{4} + 6 \, a^{5} b^{6} - 4 \, a^{3} b^{8} + a b^{10}\right)} d\right)} \sinh\left(d x + c\right)^{5} + 4 \, {\left(2 \, a^{11} - 5 \, a^{9} b^{2} + 10 \, a^{5} b^{6} - 10 \, a^{3} b^{8} + 3 \, a b^{10}\right)} d \cosh\left(d x + c\right)^{3} + 3 \, {\left(5 \, {\left(a^{8} b^{3} - 4 \, a^{6} b^{5} + 6 \, a^{4} b^{7} - 4 \, a^{2} b^{9} + b^{11}\right)} d \cosh\left(d x + c\right)^{2} + 10 \, {\left(a^{9} b^{2} - 4 \, a^{7} b^{4} + 6 \, a^{5} b^{6} - 4 \, a^{3} b^{8} + a b^{10}\right)} d \cosh\left(d x + c\right) + {\left(4 \, a^{10} b - 15 \, a^{8} b^{3} + 20 \, a^{6} b^{5} - 10 \, a^{4} b^{7} + b^{11}\right)} d\right)} \sinh\left(d x + c\right)^{4} + 3 \, {\left(4 \, a^{10} b - 15 \, a^{8} b^{3} + 20 \, a^{6} b^{5} - 10 \, a^{4} b^{7} + b^{11}\right)} d \cosh\left(d x + c\right)^{2} + 4 \, {\left(5 \, {\left(a^{8} b^{3} - 4 \, a^{6} b^{5} + 6 \, a^{4} b^{7} - 4 \, a^{2} b^{9} + b^{11}\right)} d \cosh\left(d x + c\right)^{3} + 15 \, {\left(a^{9} b^{2} - 4 \, a^{7} b^{4} + 6 \, a^{5} b^{6} - 4 \, a^{3} b^{8} + a b^{10}\right)} d \cosh\left(d x + c\right)^{2} + 3 \, {\left(4 \, a^{10} b - 15 \, a^{8} b^{3} + 20 \, a^{6} b^{5} - 10 \, a^{4} b^{7} + b^{11}\right)} d \cosh\left(d x + c\right) + {\left(2 \, a^{11} - 5 \, a^{9} b^{2} + 10 \, a^{5} b^{6} - 10 \, a^{3} b^{8} + 3 \, a b^{10}\right)} d\right)} \sinh\left(d x + c\right)^{3} + 6 \, {\left(a^{9} b^{2} - 4 \, a^{7} b^{4} + 6 \, a^{5} b^{6} - 4 \, a^{3} b^{8} + a b^{10}\right)} d \cosh\left(d x + c\right) + 3 \, {\left(5 \, {\left(a^{8} b^{3} - 4 \, a^{6} b^{5} + 6 \, a^{4} b^{7} - 4 \, a^{2} b^{9} + b^{11}\right)} d \cosh\left(d x + c\right)^{4} + 20 \, {\left(a^{9} b^{2} - 4 \, a^{7} b^{4} + 6 \, a^{5} b^{6} - 4 \, a^{3} b^{8} + a b^{10}\right)} d \cosh\left(d x + c\right)^{3} + 6 \, {\left(4 \, a^{10} b - 15 \, a^{8} b^{3} + 20 \, a^{6} b^{5} - 10 \, a^{4} b^{7} + b^{11}\right)} d \cosh\left(d x + c\right)^{2} + 4 \, {\left(2 \, a^{11} - 5 \, a^{9} b^{2} + 10 \, a^{5} b^{6} - 10 \, a^{3} b^{8} + 3 \, a b^{10}\right)} d \cosh\left(d x + c\right) + {\left(4 \, a^{10} b - 15 \, a^{8} b^{3} + 20 \, a^{6} b^{5} - 10 \, a^{4} b^{7} + b^{11}\right)} d\right)} \sinh\left(d x + c\right)^{2} + {\left(a^{8} b^{3} - 4 \, a^{6} b^{5} + 6 \, a^{4} b^{7} - 4 \, a^{2} b^{9} + b^{11}\right)} d + 6 \, {\left({\left(a^{8} b^{3} - 4 \, a^{6} b^{5} + 6 \, a^{4} b^{7} - 4 \, a^{2} b^{9} + b^{11}\right)} d \cosh\left(d x + c\right)^{5} + 5 \, {\left(a^{9} b^{2} - 4 \, a^{7} b^{4} + 6 \, a^{5} b^{6} - 4 \, a^{3} b^{8} + a b^{10}\right)} d \cosh\left(d x + c\right)^{4} + 2 \, {\left(4 \, a^{10} b - 15 \, a^{8} b^{3} + 20 \, a^{6} b^{5} - 10 \, a^{4} b^{7} + b^{11}\right)} d \cosh\left(d x + c\right)^{3} + 2 \, {\left(2 \, a^{11} - 5 \, a^{9} b^{2} + 10 \, a^{5} b^{6} - 10 \, a^{3} b^{8} + 3 \, a b^{10}\right)} d \cosh\left(d x + c\right)^{2} + {\left(4 \, a^{10} b - 15 \, a^{8} b^{3} + 20 \, a^{6} b^{5} - 10 \, a^{4} b^{7} + b^{11}\right)} d \cosh\left(d x + c\right) + {\left(a^{9} b^{2} - 4 \, a^{7} b^{4} + 6 \, a^{5} b^{6} - 4 \, a^{3} b^{8} + a b^{10}\right)} d\right)} \sinh\left(d x + c\right)\right)}}\right]"," ",0,"[1/6*(22*a^4*b^3 - 14*a^2*b^5 - 8*b^7 + 6*(2*a^5*b^2 + a^3*b^4 - 3*a*b^6)*cosh(d*x + c)^5 + 6*(2*a^5*b^2 + a^3*b^4 - 3*a*b^6)*sinh(d*x + c)^5 + 30*(2*a^6*b + a^4*b^3 - 3*a^2*b^5)*cosh(d*x + c)^4 + 30*(2*a^6*b + a^4*b^3 - 3*a^2*b^5 + (2*a^5*b^2 + a^3*b^4 - 3*a*b^6)*cosh(d*x + c))*sinh(d*x + c)^4 + 4*(22*a^7 + 19*a^5*b^2 - 29*a^3*b^4 - 12*a*b^6)*cosh(d*x + c)^3 + 4*(22*a^7 + 19*a^5*b^2 - 29*a^3*b^4 - 12*a*b^6 + 15*(2*a^5*b^2 + a^3*b^4 - 3*a*b^6)*cosh(d*x + c)^2 + 30*(2*a^6*b + a^4*b^3 - 3*a^2*b^5)*cosh(d*x + c))*sinh(d*x + c)^3 + 12*(17*a^6*b - 11*a^4*b^3 - 4*a^2*b^5 - 2*b^7)*cosh(d*x + c)^2 + 12*(17*a^6*b - 11*a^4*b^3 - 4*a^2*b^5 - 2*b^7 + 5*(2*a^5*b^2 + a^3*b^4 - 3*a*b^6)*cosh(d*x + c)^3 + 15*(2*a^6*b + a^4*b^3 - 3*a^2*b^5)*cosh(d*x + c)^2 + (22*a^7 + 19*a^5*b^2 - 29*a^3*b^4 - 12*a*b^6)*cosh(d*x + c))*sinh(d*x + c)^2 - 3*((2*a^3*b^3 + 3*a*b^5)*cosh(d*x + c)^6 + (2*a^3*b^3 + 3*a*b^5)*sinh(d*x + c)^6 + 2*a^3*b^3 + 3*a*b^5 + 6*(2*a^4*b^2 + 3*a^2*b^4)*cosh(d*x + c)^5 + 6*(2*a^4*b^2 + 3*a^2*b^4 + (2*a^3*b^3 + 3*a*b^5)*cosh(d*x + c))*sinh(d*x + c)^5 + 3*(8*a^5*b + 14*a^3*b^3 + 3*a*b^5)*cosh(d*x + c)^4 + 3*(8*a^5*b + 14*a^3*b^3 + 3*a*b^5 + 5*(2*a^3*b^3 + 3*a*b^5)*cosh(d*x + c)^2 + 10*(2*a^4*b^2 + 3*a^2*b^4)*cosh(d*x + c))*sinh(d*x + c)^4 + 4*(4*a^6 + 12*a^4*b^2 + 9*a^2*b^4)*cosh(d*x + c)^3 + 4*(4*a^6 + 12*a^4*b^2 + 9*a^2*b^4 + 5*(2*a^3*b^3 + 3*a*b^5)*cosh(d*x + c)^3 + 15*(2*a^4*b^2 + 3*a^2*b^4)*cosh(d*x + c)^2 + 3*(8*a^5*b + 14*a^3*b^3 + 3*a*b^5)*cosh(d*x + c))*sinh(d*x + c)^3 + 3*(8*a^5*b + 14*a^3*b^3 + 3*a*b^5)*cosh(d*x + c)^2 + 3*(8*a^5*b + 14*a^3*b^3 + 3*a*b^5 + 5*(2*a^3*b^3 + 3*a*b^5)*cosh(d*x + c)^4 + 20*(2*a^4*b^2 + 3*a^2*b^4)*cosh(d*x + c)^3 + 6*(8*a^5*b + 14*a^3*b^3 + 3*a*b^5)*cosh(d*x + c)^2 + 4*(4*a^6 + 12*a^4*b^2 + 9*a^2*b^4)*cosh(d*x + c))*sinh(d*x + c)^2 + 6*(2*a^4*b^2 + 3*a^2*b^4)*cosh(d*x + c) + 6*(2*a^4*b^2 + 3*a^2*b^4 + (2*a^3*b^3 + 3*a*b^5)*cosh(d*x + c)^5 + 5*(2*a^4*b^2 + 3*a^2*b^4)*cosh(d*x + c)^4 + 2*(8*a^5*b + 14*a^3*b^3 + 3*a*b^5)*cosh(d*x + c)^3 + 2*(4*a^6 + 12*a^4*b^2 + 9*a^2*b^4)*cosh(d*x + c)^2 + (8*a^5*b + 14*a^3*b^3 + 3*a*b^5)*cosh(d*x + c))*sinh(d*x + c))*sqrt(a^2 - b^2)*log((b^2*cosh(d*x + c)^2 + b^2*sinh(d*x + c)^2 + 2*a*b*cosh(d*x + c) + 2*a^2 - b^2 + 2*(b^2*cosh(d*x + c) + a*b)*sinh(d*x + c) + 2*sqrt(a^2 - b^2)*(b*cosh(d*x + c) + b*sinh(d*x + c) + a))/(b*cosh(d*x + c)^2 + b*sinh(d*x + c)^2 + 2*a*cosh(d*x + c) + 2*(b*cosh(d*x + c) + a)*sinh(d*x + c) + b)) + 30*(4*a^5*b^2 - 3*a^3*b^4 - a*b^6)*cosh(d*x + c) + 6*(20*a^5*b^2 - 15*a^3*b^4 - 5*a*b^6 + 5*(2*a^5*b^2 + a^3*b^4 - 3*a*b^6)*cosh(d*x + c)^4 + 20*(2*a^6*b + a^4*b^3 - 3*a^2*b^5)*cosh(d*x + c)^3 + 2*(22*a^7 + 19*a^5*b^2 - 29*a^3*b^4 - 12*a*b^6)*cosh(d*x + c)^2 + 4*(17*a^6*b - 11*a^4*b^3 - 4*a^2*b^5 - 2*b^7)*cosh(d*x + c))*sinh(d*x + c))/((a^8*b^3 - 4*a^6*b^5 + 6*a^4*b^7 - 4*a^2*b^9 + b^11)*d*cosh(d*x + c)^6 + (a^8*b^3 - 4*a^6*b^5 + 6*a^4*b^7 - 4*a^2*b^9 + b^11)*d*sinh(d*x + c)^6 + 6*(a^9*b^2 - 4*a^7*b^4 + 6*a^5*b^6 - 4*a^3*b^8 + a*b^10)*d*cosh(d*x + c)^5 + 3*(4*a^10*b - 15*a^8*b^3 + 20*a^6*b^5 - 10*a^4*b^7 + b^11)*d*cosh(d*x + c)^4 + 6*((a^8*b^3 - 4*a^6*b^5 + 6*a^4*b^7 - 4*a^2*b^9 + b^11)*d*cosh(d*x + c) + (a^9*b^2 - 4*a^7*b^4 + 6*a^5*b^6 - 4*a^3*b^8 + a*b^10)*d)*sinh(d*x + c)^5 + 4*(2*a^11 - 5*a^9*b^2 + 10*a^5*b^6 - 10*a^3*b^8 + 3*a*b^10)*d*cosh(d*x + c)^3 + 3*(5*(a^8*b^3 - 4*a^6*b^5 + 6*a^4*b^7 - 4*a^2*b^9 + b^11)*d*cosh(d*x + c)^2 + 10*(a^9*b^2 - 4*a^7*b^4 + 6*a^5*b^6 - 4*a^3*b^8 + a*b^10)*d*cosh(d*x + c) + (4*a^10*b - 15*a^8*b^3 + 20*a^6*b^5 - 10*a^4*b^7 + b^11)*d)*sinh(d*x + c)^4 + 3*(4*a^10*b - 15*a^8*b^3 + 20*a^6*b^5 - 10*a^4*b^7 + b^11)*d*cosh(d*x + c)^2 + 4*(5*(a^8*b^3 - 4*a^6*b^5 + 6*a^4*b^7 - 4*a^2*b^9 + b^11)*d*cosh(d*x + c)^3 + 15*(a^9*b^2 - 4*a^7*b^4 + 6*a^5*b^6 - 4*a^3*b^8 + a*b^10)*d*cosh(d*x + c)^2 + 3*(4*a^10*b - 15*a^8*b^3 + 20*a^6*b^5 - 10*a^4*b^7 + b^11)*d*cosh(d*x + c) + (2*a^11 - 5*a^9*b^2 + 10*a^5*b^6 - 10*a^3*b^8 + 3*a*b^10)*d)*sinh(d*x + c)^3 + 6*(a^9*b^2 - 4*a^7*b^4 + 6*a^5*b^6 - 4*a^3*b^8 + a*b^10)*d*cosh(d*x + c) + 3*(5*(a^8*b^3 - 4*a^6*b^5 + 6*a^4*b^7 - 4*a^2*b^9 + b^11)*d*cosh(d*x + c)^4 + 20*(a^9*b^2 - 4*a^7*b^4 + 6*a^5*b^6 - 4*a^3*b^8 + a*b^10)*d*cosh(d*x + c)^3 + 6*(4*a^10*b - 15*a^8*b^3 + 20*a^6*b^5 - 10*a^4*b^7 + b^11)*d*cosh(d*x + c)^2 + 4*(2*a^11 - 5*a^9*b^2 + 10*a^5*b^6 - 10*a^3*b^8 + 3*a*b^10)*d*cosh(d*x + c) + (4*a^10*b - 15*a^8*b^3 + 20*a^6*b^5 - 10*a^4*b^7 + b^11)*d)*sinh(d*x + c)^2 + (a^8*b^3 - 4*a^6*b^5 + 6*a^4*b^7 - 4*a^2*b^9 + b^11)*d + 6*((a^8*b^3 - 4*a^6*b^5 + 6*a^4*b^7 - 4*a^2*b^9 + b^11)*d*cosh(d*x + c)^5 + 5*(a^9*b^2 - 4*a^7*b^4 + 6*a^5*b^6 - 4*a^3*b^8 + a*b^10)*d*cosh(d*x + c)^4 + 2*(4*a^10*b - 15*a^8*b^3 + 20*a^6*b^5 - 10*a^4*b^7 + b^11)*d*cosh(d*x + c)^3 + 2*(2*a^11 - 5*a^9*b^2 + 10*a^5*b^6 - 10*a^3*b^8 + 3*a*b^10)*d*cosh(d*x + c)^2 + (4*a^10*b - 15*a^8*b^3 + 20*a^6*b^5 - 10*a^4*b^7 + b^11)*d*cosh(d*x + c) + (a^9*b^2 - 4*a^7*b^4 + 6*a^5*b^6 - 4*a^3*b^8 + a*b^10)*d)*sinh(d*x + c)), 1/3*(11*a^4*b^3 - 7*a^2*b^5 - 4*b^7 + 3*(2*a^5*b^2 + a^3*b^4 - 3*a*b^6)*cosh(d*x + c)^5 + 3*(2*a^5*b^2 + a^3*b^4 - 3*a*b^6)*sinh(d*x + c)^5 + 15*(2*a^6*b + a^4*b^3 - 3*a^2*b^5)*cosh(d*x + c)^4 + 15*(2*a^6*b + a^4*b^3 - 3*a^2*b^5 + (2*a^5*b^2 + a^3*b^4 - 3*a*b^6)*cosh(d*x + c))*sinh(d*x + c)^4 + 2*(22*a^7 + 19*a^5*b^2 - 29*a^3*b^4 - 12*a*b^6)*cosh(d*x + c)^3 + 2*(22*a^7 + 19*a^5*b^2 - 29*a^3*b^4 - 12*a*b^6 + 15*(2*a^5*b^2 + a^3*b^4 - 3*a*b^6)*cosh(d*x + c)^2 + 30*(2*a^6*b + a^4*b^3 - 3*a^2*b^5)*cosh(d*x + c))*sinh(d*x + c)^3 + 6*(17*a^6*b - 11*a^4*b^3 - 4*a^2*b^5 - 2*b^7)*cosh(d*x + c)^2 + 6*(17*a^6*b - 11*a^4*b^3 - 4*a^2*b^5 - 2*b^7 + 5*(2*a^5*b^2 + a^3*b^4 - 3*a*b^6)*cosh(d*x + c)^3 + 15*(2*a^6*b + a^4*b^3 - 3*a^2*b^5)*cosh(d*x + c)^2 + (22*a^7 + 19*a^5*b^2 - 29*a^3*b^4 - 12*a*b^6)*cosh(d*x + c))*sinh(d*x + c)^2 - 3*((2*a^3*b^3 + 3*a*b^5)*cosh(d*x + c)^6 + (2*a^3*b^3 + 3*a*b^5)*sinh(d*x + c)^6 + 2*a^3*b^3 + 3*a*b^5 + 6*(2*a^4*b^2 + 3*a^2*b^4)*cosh(d*x + c)^5 + 6*(2*a^4*b^2 + 3*a^2*b^4 + (2*a^3*b^3 + 3*a*b^5)*cosh(d*x + c))*sinh(d*x + c)^5 + 3*(8*a^5*b + 14*a^3*b^3 + 3*a*b^5)*cosh(d*x + c)^4 + 3*(8*a^5*b + 14*a^3*b^3 + 3*a*b^5 + 5*(2*a^3*b^3 + 3*a*b^5)*cosh(d*x + c)^2 + 10*(2*a^4*b^2 + 3*a^2*b^4)*cosh(d*x + c))*sinh(d*x + c)^4 + 4*(4*a^6 + 12*a^4*b^2 + 9*a^2*b^4)*cosh(d*x + c)^3 + 4*(4*a^6 + 12*a^4*b^2 + 9*a^2*b^4 + 5*(2*a^3*b^3 + 3*a*b^5)*cosh(d*x + c)^3 + 15*(2*a^4*b^2 + 3*a^2*b^4)*cosh(d*x + c)^2 + 3*(8*a^5*b + 14*a^3*b^3 + 3*a*b^5)*cosh(d*x + c))*sinh(d*x + c)^3 + 3*(8*a^5*b + 14*a^3*b^3 + 3*a*b^5)*cosh(d*x + c)^2 + 3*(8*a^5*b + 14*a^3*b^3 + 3*a*b^5 + 5*(2*a^3*b^3 + 3*a*b^5)*cosh(d*x + c)^4 + 20*(2*a^4*b^2 + 3*a^2*b^4)*cosh(d*x + c)^3 + 6*(8*a^5*b + 14*a^3*b^3 + 3*a*b^5)*cosh(d*x + c)^2 + 4*(4*a^6 + 12*a^4*b^2 + 9*a^2*b^4)*cosh(d*x + c))*sinh(d*x + c)^2 + 6*(2*a^4*b^2 + 3*a^2*b^4)*cosh(d*x + c) + 6*(2*a^4*b^2 + 3*a^2*b^4 + (2*a^3*b^3 + 3*a*b^5)*cosh(d*x + c)^5 + 5*(2*a^4*b^2 + 3*a^2*b^4)*cosh(d*x + c)^4 + 2*(8*a^5*b + 14*a^3*b^3 + 3*a*b^5)*cosh(d*x + c)^3 + 2*(4*a^6 + 12*a^4*b^2 + 9*a^2*b^4)*cosh(d*x + c)^2 + (8*a^5*b + 14*a^3*b^3 + 3*a*b^5)*cosh(d*x + c))*sinh(d*x + c))*sqrt(-a^2 + b^2)*arctan(-sqrt(-a^2 + b^2)*(b*cosh(d*x + c) + b*sinh(d*x + c) + a)/(a^2 - b^2)) + 15*(4*a^5*b^2 - 3*a^3*b^4 - a*b^6)*cosh(d*x + c) + 3*(20*a^5*b^2 - 15*a^3*b^4 - 5*a*b^6 + 5*(2*a^5*b^2 + a^3*b^4 - 3*a*b^6)*cosh(d*x + c)^4 + 20*(2*a^6*b + a^4*b^3 - 3*a^2*b^5)*cosh(d*x + c)^3 + 2*(22*a^7 + 19*a^5*b^2 - 29*a^3*b^4 - 12*a*b^6)*cosh(d*x + c)^2 + 4*(17*a^6*b - 11*a^4*b^3 - 4*a^2*b^5 - 2*b^7)*cosh(d*x + c))*sinh(d*x + c))/((a^8*b^3 - 4*a^6*b^5 + 6*a^4*b^7 - 4*a^2*b^9 + b^11)*d*cosh(d*x + c)^6 + (a^8*b^3 - 4*a^6*b^5 + 6*a^4*b^7 - 4*a^2*b^9 + b^11)*d*sinh(d*x + c)^6 + 6*(a^9*b^2 - 4*a^7*b^4 + 6*a^5*b^6 - 4*a^3*b^8 + a*b^10)*d*cosh(d*x + c)^5 + 3*(4*a^10*b - 15*a^8*b^3 + 20*a^6*b^5 - 10*a^4*b^7 + b^11)*d*cosh(d*x + c)^4 + 6*((a^8*b^3 - 4*a^6*b^5 + 6*a^4*b^7 - 4*a^2*b^9 + b^11)*d*cosh(d*x + c) + (a^9*b^2 - 4*a^7*b^4 + 6*a^5*b^6 - 4*a^3*b^8 + a*b^10)*d)*sinh(d*x + c)^5 + 4*(2*a^11 - 5*a^9*b^2 + 10*a^5*b^6 - 10*a^3*b^8 + 3*a*b^10)*d*cosh(d*x + c)^3 + 3*(5*(a^8*b^3 - 4*a^6*b^5 + 6*a^4*b^7 - 4*a^2*b^9 + b^11)*d*cosh(d*x + c)^2 + 10*(a^9*b^2 - 4*a^7*b^4 + 6*a^5*b^6 - 4*a^3*b^8 + a*b^10)*d*cosh(d*x + c) + (4*a^10*b - 15*a^8*b^3 + 20*a^6*b^5 - 10*a^4*b^7 + b^11)*d)*sinh(d*x + c)^4 + 3*(4*a^10*b - 15*a^8*b^3 + 20*a^6*b^5 - 10*a^4*b^7 + b^11)*d*cosh(d*x + c)^2 + 4*(5*(a^8*b^3 - 4*a^6*b^5 + 6*a^4*b^7 - 4*a^2*b^9 + b^11)*d*cosh(d*x + c)^3 + 15*(a^9*b^2 - 4*a^7*b^4 + 6*a^5*b^6 - 4*a^3*b^8 + a*b^10)*d*cosh(d*x + c)^2 + 3*(4*a^10*b - 15*a^8*b^3 + 20*a^6*b^5 - 10*a^4*b^7 + b^11)*d*cosh(d*x + c) + (2*a^11 - 5*a^9*b^2 + 10*a^5*b^6 - 10*a^3*b^8 + 3*a*b^10)*d)*sinh(d*x + c)^3 + 6*(a^9*b^2 - 4*a^7*b^4 + 6*a^5*b^6 - 4*a^3*b^8 + a*b^10)*d*cosh(d*x + c) + 3*(5*(a^8*b^3 - 4*a^6*b^5 + 6*a^4*b^7 - 4*a^2*b^9 + b^11)*d*cosh(d*x + c)^4 + 20*(a^9*b^2 - 4*a^7*b^4 + 6*a^5*b^6 - 4*a^3*b^8 + a*b^10)*d*cosh(d*x + c)^3 + 6*(4*a^10*b - 15*a^8*b^3 + 20*a^6*b^5 - 10*a^4*b^7 + b^11)*d*cosh(d*x + c)^2 + 4*(2*a^11 - 5*a^9*b^2 + 10*a^5*b^6 - 10*a^3*b^8 + 3*a*b^10)*d*cosh(d*x + c) + (4*a^10*b - 15*a^8*b^3 + 20*a^6*b^5 - 10*a^4*b^7 + b^11)*d)*sinh(d*x + c)^2 + (a^8*b^3 - 4*a^6*b^5 + 6*a^4*b^7 - 4*a^2*b^9 + b^11)*d + 6*((a^8*b^3 - 4*a^6*b^5 + 6*a^4*b^7 - 4*a^2*b^9 + b^11)*d*cosh(d*x + c)^5 + 5*(a^9*b^2 - 4*a^7*b^4 + 6*a^5*b^6 - 4*a^3*b^8 + a*b^10)*d*cosh(d*x + c)^4 + 2*(4*a^10*b - 15*a^8*b^3 + 20*a^6*b^5 - 10*a^4*b^7 + b^11)*d*cosh(d*x + c)^3 + 2*(2*a^11 - 5*a^9*b^2 + 10*a^5*b^6 - 10*a^3*b^8 + 3*a*b^10)*d*cosh(d*x + c)^2 + (4*a^10*b - 15*a^8*b^3 + 20*a^6*b^5 - 10*a^4*b^7 + b^11)*d*cosh(d*x + c) + (a^9*b^2 - 4*a^7*b^4 + 6*a^5*b^6 - 4*a^3*b^8 + a*b^10)*d)*sinh(d*x + c))]","B",0
71,1,24,0,0.525850," ","integrate(1/(3+5*cosh(d*x+c)),x, algorithm=""fricas"")","\frac{\arctan\left(\frac{5}{4} \, \cosh\left(d x + c\right) + \frac{5}{4} \, \sinh\left(d x + c\right) + \frac{3}{4}\right)}{2 \, d}"," ",0,"1/2*arctan(5/4*cosh(d*x + c) + 5/4*sinh(d*x + c) + 3/4)/d","A",0
72,1,147,0,0.598079," ","integrate(1/(3+5*cosh(d*x+c))^2,x, algorithm=""fricas"")","-\frac{3 \, {\left(5 \, \cosh\left(d x + c\right)^{2} + 2 \, {\left(5 \, \cosh\left(d x + c\right) + 3\right)} \sinh\left(d x + c\right) + 5 \, \sinh\left(d x + c\right)^{2} + 6 \, \cosh\left(d x + c\right) + 5\right)} \arctan\left(\frac{5}{4} \, \cosh\left(d x + c\right) + \frac{5}{4} \, \sinh\left(d x + c\right) + \frac{3}{4}\right) + 12 \, \cosh\left(d x + c\right) + 12 \, \sinh\left(d x + c\right) + 20}{32 \, {\left(5 \, d \cosh\left(d x + c\right)^{2} + 5 \, d \sinh\left(d x + c\right)^{2} + 6 \, d \cosh\left(d x + c\right) + 2 \, {\left(5 \, d \cosh\left(d x + c\right) + 3 \, d\right)} \sinh\left(d x + c\right) + 5 \, d\right)}}"," ",0,"-1/32*(3*(5*cosh(d*x + c)^2 + 2*(5*cosh(d*x + c) + 3)*sinh(d*x + c) + 5*sinh(d*x + c)^2 + 6*cosh(d*x + c) + 5)*arctan(5/4*cosh(d*x + c) + 5/4*sinh(d*x + c) + 3/4) + 12*cosh(d*x + c) + 12*sinh(d*x + c) + 20)/(5*d*cosh(d*x + c)^2 + 5*d*sinh(d*x + c)^2 + 6*d*cosh(d*x + c) + 2*(5*d*cosh(d*x + c) + 3*d)*sinh(d*x + c) + 5*d)","B",0
73,1,408,0,0.456569," ","integrate(1/(3+5*cosh(d*x+c))^3,x, algorithm=""fricas"")","\frac{860 \, \cosh\left(d x + c\right)^{3} + 516 \, {\left(5 \, \cosh\left(d x + c\right) + 3\right)} \sinh\left(d x + c\right)^{2} + 860 \, \sinh\left(d x + c\right)^{3} + 43 \, {\left(25 \, \cosh\left(d x + c\right)^{4} + 20 \, {\left(5 \, \cosh\left(d x + c\right) + 3\right)} \sinh\left(d x + c\right)^{3} + 25 \, \sinh\left(d x + c\right)^{4} + 60 \, \cosh\left(d x + c\right)^{3} + 2 \, {\left(75 \, \cosh\left(d x + c\right)^{2} + 90 \, \cosh\left(d x + c\right) + 43\right)} \sinh\left(d x + c\right)^{2} + 86 \, \cosh\left(d x + c\right)^{2} + 4 \, {\left(25 \, \cosh\left(d x + c\right)^{3} + 45 \, \cosh\left(d x + c\right)^{2} + 43 \, \cosh\left(d x + c\right) + 15\right)} \sinh\left(d x + c\right) + 60 \, \cosh\left(d x + c\right) + 25\right)} \arctan\left(\frac{5}{4} \, \cosh\left(d x + c\right) + \frac{5}{4} \, \sinh\left(d x + c\right) + \frac{3}{4}\right) + 1548 \, \cosh\left(d x + c\right)^{2} + 4 \, {\left(645 \, \cosh\left(d x + c\right)^{2} + 774 \, \cosh\left(d x + c\right) + 325\right)} \sinh\left(d x + c\right) + 1300 \, \cosh\left(d x + c\right) + 900}{1024 \, {\left(25 \, d \cosh\left(d x + c\right)^{4} + 25 \, d \sinh\left(d x + c\right)^{4} + 60 \, d \cosh\left(d x + c\right)^{3} + 20 \, {\left(5 \, d \cosh\left(d x + c\right) + 3 \, d\right)} \sinh\left(d x + c\right)^{3} + 86 \, d \cosh\left(d x + c\right)^{2} + 2 \, {\left(75 \, d \cosh\left(d x + c\right)^{2} + 90 \, d \cosh\left(d x + c\right) + 43 \, d\right)} \sinh\left(d x + c\right)^{2} + 60 \, d \cosh\left(d x + c\right) + 4 \, {\left(25 \, d \cosh\left(d x + c\right)^{3} + 45 \, d \cosh\left(d x + c\right)^{2} + 43 \, d \cosh\left(d x + c\right) + 15 \, d\right)} \sinh\left(d x + c\right) + 25 \, d\right)}}"," ",0,"1/1024*(860*cosh(d*x + c)^3 + 516*(5*cosh(d*x + c) + 3)*sinh(d*x + c)^2 + 860*sinh(d*x + c)^3 + 43*(25*cosh(d*x + c)^4 + 20*(5*cosh(d*x + c) + 3)*sinh(d*x + c)^3 + 25*sinh(d*x + c)^4 + 60*cosh(d*x + c)^3 + 2*(75*cosh(d*x + c)^2 + 90*cosh(d*x + c) + 43)*sinh(d*x + c)^2 + 86*cosh(d*x + c)^2 + 4*(25*cosh(d*x + c)^3 + 45*cosh(d*x + c)^2 + 43*cosh(d*x + c) + 15)*sinh(d*x + c) + 60*cosh(d*x + c) + 25)*arctan(5/4*cosh(d*x + c) + 5/4*sinh(d*x + c) + 3/4) + 1548*cosh(d*x + c)^2 + 4*(645*cosh(d*x + c)^2 + 774*cosh(d*x + c) + 325)*sinh(d*x + c) + 1300*cosh(d*x + c) + 900)/(25*d*cosh(d*x + c)^4 + 25*d*sinh(d*x + c)^4 + 60*d*cosh(d*x + c)^3 + 20*(5*d*cosh(d*x + c) + 3*d)*sinh(d*x + c)^3 + 86*d*cosh(d*x + c)^2 + 2*(75*d*cosh(d*x + c)^2 + 90*d*cosh(d*x + c) + 43*d)*sinh(d*x + c)^2 + 60*d*cosh(d*x + c) + 4*(25*d*cosh(d*x + c)^3 + 45*d*cosh(d*x + c)^2 + 43*d*cosh(d*x + c) + 15*d)*sinh(d*x + c) + 25*d)","B",0
74,1,793,0,0.673230," ","integrate(1/(3+5*cosh(d*x+c))^4,x, algorithm=""fricas"")","-\frac{83700 \, \cosh\left(d x + c\right)^{5} + 83700 \, {\left(5 \, \cosh\left(d x + c\right) + 3\right)} \sinh\left(d x + c\right)^{4} + 83700 \, \sinh\left(d x + c\right)^{5} + 251100 \, \cosh\left(d x + c\right)^{4} + 2232 \, {\left(375 \, \cosh\left(d x + c\right)^{2} + 450 \, \cosh\left(d x + c\right) + 199\right)} \sinh\left(d x + c\right)^{3} + 444168 \, \cosh\left(d x + c\right)^{3} + 24 \, {\left(34875 \, \cosh\left(d x + c\right)^{3} + 62775 \, \cosh\left(d x + c\right)^{2} + 55521 \, \cosh\left(d x + c\right) + 19885\right)} \sinh\left(d x + c\right)^{2} + 837 \, {\left(125 \, \cosh\left(d x + c\right)^{6} + 150 \, {\left(5 \, \cosh\left(d x + c\right) + 3\right)} \sinh\left(d x + c\right)^{5} + 125 \, \sinh\left(d x + c\right)^{6} + 450 \, \cosh\left(d x + c\right)^{5} + 15 \, {\left(125 \, \cosh\left(d x + c\right)^{2} + 150 \, \cosh\left(d x + c\right) + 61\right)} \sinh\left(d x + c\right)^{4} + 915 \, \cosh\left(d x + c\right)^{4} + 4 \, {\left(625 \, \cosh\left(d x + c\right)^{3} + 1125 \, \cosh\left(d x + c\right)^{2} + 915 \, \cosh\left(d x + c\right) + 279\right)} \sinh\left(d x + c\right)^{3} + 1116 \, \cosh\left(d x + c\right)^{3} + 3 \, {\left(625 \, \cosh\left(d x + c\right)^{4} + 1500 \, \cosh\left(d x + c\right)^{3} + 1830 \, \cosh\left(d x + c\right)^{2} + 1116 \, \cosh\left(d x + c\right) + 305\right)} \sinh\left(d x + c\right)^{2} + 915 \, \cosh\left(d x + c\right)^{2} + 6 \, {\left(125 \, \cosh\left(d x + c\right)^{5} + 375 \, \cosh\left(d x + c\right)^{4} + 610 \, \cosh\left(d x + c\right)^{3} + 558 \, \cosh\left(d x + c\right)^{2} + 305 \, \cosh\left(d x + c\right) + 75\right)} \sinh\left(d x + c\right) + 450 \, \cosh\left(d x + c\right) + 125\right)} \arctan\left(\frac{5}{4} \, \cosh\left(d x + c\right) + \frac{5}{4} \, \sinh\left(d x + c\right) + \frac{3}{4}\right) + 477240 \, \cosh\left(d x + c\right)^{2} + 12 \, {\left(34875 \, \cosh\left(d x + c\right)^{4} + 83700 \, \cosh\left(d x + c\right)^{3} + 111042 \, \cosh\left(d x + c\right)^{2} + 79540 \, \cosh\left(d x + c\right) + 22875\right)} \sinh\left(d x + c\right) + 274500 \, \cosh\left(d x + c\right) + 99500}{49152 \, {\left(125 \, d \cosh\left(d x + c\right)^{6} + 125 \, d \sinh\left(d x + c\right)^{6} + 450 \, d \cosh\left(d x + c\right)^{5} + 150 \, {\left(5 \, d \cosh\left(d x + c\right) + 3 \, d\right)} \sinh\left(d x + c\right)^{5} + 915 \, d \cosh\left(d x + c\right)^{4} + 15 \, {\left(125 \, d \cosh\left(d x + c\right)^{2} + 150 \, d \cosh\left(d x + c\right) + 61 \, d\right)} \sinh\left(d x + c\right)^{4} + 1116 \, d \cosh\left(d x + c\right)^{3} + 4 \, {\left(625 \, d \cosh\left(d x + c\right)^{3} + 1125 \, d \cosh\left(d x + c\right)^{2} + 915 \, d \cosh\left(d x + c\right) + 279 \, d\right)} \sinh\left(d x + c\right)^{3} + 915 \, d \cosh\left(d x + c\right)^{2} + 3 \, {\left(625 \, d \cosh\left(d x + c\right)^{4} + 1500 \, d \cosh\left(d x + c\right)^{3} + 1830 \, d \cosh\left(d x + c\right)^{2} + 1116 \, d \cosh\left(d x + c\right) + 305 \, d\right)} \sinh\left(d x + c\right)^{2} + 450 \, d \cosh\left(d x + c\right) + 6 \, {\left(125 \, d \cosh\left(d x + c\right)^{5} + 375 \, d \cosh\left(d x + c\right)^{4} + 610 \, d \cosh\left(d x + c\right)^{3} + 558 \, d \cosh\left(d x + c\right)^{2} + 305 \, d \cosh\left(d x + c\right) + 75 \, d\right)} \sinh\left(d x + c\right) + 125 \, d\right)}}"," ",0,"-1/49152*(83700*cosh(d*x + c)^5 + 83700*(5*cosh(d*x + c) + 3)*sinh(d*x + c)^4 + 83700*sinh(d*x + c)^5 + 251100*cosh(d*x + c)^4 + 2232*(375*cosh(d*x + c)^2 + 450*cosh(d*x + c) + 199)*sinh(d*x + c)^3 + 444168*cosh(d*x + c)^3 + 24*(34875*cosh(d*x + c)^3 + 62775*cosh(d*x + c)^2 + 55521*cosh(d*x + c) + 19885)*sinh(d*x + c)^2 + 837*(125*cosh(d*x + c)^6 + 150*(5*cosh(d*x + c) + 3)*sinh(d*x + c)^5 + 125*sinh(d*x + c)^6 + 450*cosh(d*x + c)^5 + 15*(125*cosh(d*x + c)^2 + 150*cosh(d*x + c) + 61)*sinh(d*x + c)^4 + 915*cosh(d*x + c)^4 + 4*(625*cosh(d*x + c)^3 + 1125*cosh(d*x + c)^2 + 915*cosh(d*x + c) + 279)*sinh(d*x + c)^3 + 1116*cosh(d*x + c)^3 + 3*(625*cosh(d*x + c)^4 + 1500*cosh(d*x + c)^3 + 1830*cosh(d*x + c)^2 + 1116*cosh(d*x + c) + 305)*sinh(d*x + c)^2 + 915*cosh(d*x + c)^2 + 6*(125*cosh(d*x + c)^5 + 375*cosh(d*x + c)^4 + 610*cosh(d*x + c)^3 + 558*cosh(d*x + c)^2 + 305*cosh(d*x + c) + 75)*sinh(d*x + c) + 450*cosh(d*x + c) + 125)*arctan(5/4*cosh(d*x + c) + 5/4*sinh(d*x + c) + 3/4) + 477240*cosh(d*x + c)^2 + 12*(34875*cosh(d*x + c)^4 + 83700*cosh(d*x + c)^3 + 111042*cosh(d*x + c)^2 + 79540*cosh(d*x + c) + 22875)*sinh(d*x + c) + 274500*cosh(d*x + c) + 99500)/(125*d*cosh(d*x + c)^6 + 125*d*sinh(d*x + c)^6 + 450*d*cosh(d*x + c)^5 + 150*(5*d*cosh(d*x + c) + 3*d)*sinh(d*x + c)^5 + 915*d*cosh(d*x + c)^4 + 15*(125*d*cosh(d*x + c)^2 + 150*d*cosh(d*x + c) + 61*d)*sinh(d*x + c)^4 + 1116*d*cosh(d*x + c)^3 + 4*(625*d*cosh(d*x + c)^3 + 1125*d*cosh(d*x + c)^2 + 915*d*cosh(d*x + c) + 279*d)*sinh(d*x + c)^3 + 915*d*cosh(d*x + c)^2 + 3*(625*d*cosh(d*x + c)^4 + 1500*d*cosh(d*x + c)^3 + 1830*d*cosh(d*x + c)^2 + 1116*d*cosh(d*x + c) + 305*d)*sinh(d*x + c)^2 + 450*d*cosh(d*x + c) + 6*(125*d*cosh(d*x + c)^5 + 375*d*cosh(d*x + c)^4 + 610*d*cosh(d*x + c)^3 + 558*d*cosh(d*x + c)^2 + 305*d*cosh(d*x + c) + 75*d)*sinh(d*x + c) + 125*d)","B",0
75,1,42,0,1.603950," ","integrate(1/(5+3*cosh(d*x+c)),x, algorithm=""fricas"")","\frac{\log\left(3 \, \cosh\left(d x + c\right) + 3 \, \sinh\left(d x + c\right) + 1\right) - \log\left(\cosh\left(d x + c\right) + \sinh\left(d x + c\right) + 3\right)}{4 \, d}"," ",0,"1/4*(log(3*cosh(d*x + c) + 3*sinh(d*x + c) + 1) - log(cosh(d*x + c) + sinh(d*x + c) + 3))/d","A",0
76,1,212,0,1.026171," ","integrate(1/(5+3*cosh(d*x+c))^2,x, algorithm=""fricas"")","\frac{5 \, {\left(3 \, \cosh\left(d x + c\right)^{2} + 2 \, {\left(3 \, \cosh\left(d x + c\right) + 5\right)} \sinh\left(d x + c\right) + 3 \, \sinh\left(d x + c\right)^{2} + 10 \, \cosh\left(d x + c\right) + 3\right)} \log\left(3 \, \cosh\left(d x + c\right) + 3 \, \sinh\left(d x + c\right) + 1\right) - 5 \, {\left(3 \, \cosh\left(d x + c\right)^{2} + 2 \, {\left(3 \, \cosh\left(d x + c\right) + 5\right)} \sinh\left(d x + c\right) + 3 \, \sinh\left(d x + c\right)^{2} + 10 \, \cosh\left(d x + c\right) + 3\right)} \log\left(\cosh\left(d x + c\right) + \sinh\left(d x + c\right) + 3\right) + 40 \, \cosh\left(d x + c\right) + 40 \, \sinh\left(d x + c\right) + 24}{64 \, {\left(3 \, d \cosh\left(d x + c\right)^{2} + 3 \, d \sinh\left(d x + c\right)^{2} + 10 \, d \cosh\left(d x + c\right) + 2 \, {\left(3 \, d \cosh\left(d x + c\right) + 5 \, d\right)} \sinh\left(d x + c\right) + 3 \, d\right)}}"," ",0,"1/64*(5*(3*cosh(d*x + c)^2 + 2*(3*cosh(d*x + c) + 5)*sinh(d*x + c) + 3*sinh(d*x + c)^2 + 10*cosh(d*x + c) + 3)*log(3*cosh(d*x + c) + 3*sinh(d*x + c) + 1) - 5*(3*cosh(d*x + c)^2 + 2*(3*cosh(d*x + c) + 5)*sinh(d*x + c) + 3*sinh(d*x + c)^2 + 10*cosh(d*x + c) + 3)*log(cosh(d*x + c) + sinh(d*x + c) + 3) + 40*cosh(d*x + c) + 40*sinh(d*x + c) + 24)/(3*d*cosh(d*x + c)^2 + 3*d*sinh(d*x + c)^2 + 10*d*cosh(d*x + c) + 2*(3*d*cosh(d*x + c) + 5*d)*sinh(d*x + c) + 3*d)","B",0
77,1,563,0,0.495147," ","integrate(1/(5+3*cosh(d*x+c))^3,x, algorithm=""fricas"")","\frac{1416 \, \cosh\left(d x + c\right)^{3} + 1416 \, {\left(3 \, \cosh\left(d x + c\right) + 5\right)} \sinh\left(d x + c\right)^{2} + 1416 \, \sinh\left(d x + c\right)^{3} + 7080 \, \cosh\left(d x + c\right)^{2} + 59 \, {\left(9 \, \cosh\left(d x + c\right)^{4} + 12 \, {\left(3 \, \cosh\left(d x + c\right) + 5\right)} \sinh\left(d x + c\right)^{3} + 9 \, \sinh\left(d x + c\right)^{4} + 60 \, \cosh\left(d x + c\right)^{3} + 2 \, {\left(27 \, \cosh\left(d x + c\right)^{2} + 90 \, \cosh\left(d x + c\right) + 59\right)} \sinh\left(d x + c\right)^{2} + 118 \, \cosh\left(d x + c\right)^{2} + 4 \, {\left(9 \, \cosh\left(d x + c\right)^{3} + 45 \, \cosh\left(d x + c\right)^{2} + 59 \, \cosh\left(d x + c\right) + 15\right)} \sinh\left(d x + c\right) + 60 \, \cosh\left(d x + c\right) + 9\right)} \log\left(3 \, \cosh\left(d x + c\right) + 3 \, \sinh\left(d x + c\right) + 1\right) - 59 \, {\left(9 \, \cosh\left(d x + c\right)^{4} + 12 \, {\left(3 \, \cosh\left(d x + c\right) + 5\right)} \sinh\left(d x + c\right)^{3} + 9 \, \sinh\left(d x + c\right)^{4} + 60 \, \cosh\left(d x + c\right)^{3} + 2 \, {\left(27 \, \cosh\left(d x + c\right)^{2} + 90 \, \cosh\left(d x + c\right) + 59\right)} \sinh\left(d x + c\right)^{2} + 118 \, \cosh\left(d x + c\right)^{2} + 4 \, {\left(9 \, \cosh\left(d x + c\right)^{3} + 45 \, \cosh\left(d x + c\right)^{2} + 59 \, \cosh\left(d x + c\right) + 15\right)} \sinh\left(d x + c\right) + 60 \, \cosh\left(d x + c\right) + 9\right)} \log\left(\cosh\left(d x + c\right) + \sinh\left(d x + c\right) + 3\right) + 24 \, {\left(177 \, \cosh\left(d x + c\right)^{2} + 590 \, \cosh\left(d x + c\right) + 241\right)} \sinh\left(d x + c\right) + 5784 \, \cosh\left(d x + c\right) + 1080}{2048 \, {\left(9 \, d \cosh\left(d x + c\right)^{4} + 9 \, d \sinh\left(d x + c\right)^{4} + 60 \, d \cosh\left(d x + c\right)^{3} + 12 \, {\left(3 \, d \cosh\left(d x + c\right) + 5 \, d\right)} \sinh\left(d x + c\right)^{3} + 118 \, d \cosh\left(d x + c\right)^{2} + 2 \, {\left(27 \, d \cosh\left(d x + c\right)^{2} + 90 \, d \cosh\left(d x + c\right) + 59 \, d\right)} \sinh\left(d x + c\right)^{2} + 60 \, d \cosh\left(d x + c\right) + 4 \, {\left(9 \, d \cosh\left(d x + c\right)^{3} + 45 \, d \cosh\left(d x + c\right)^{2} + 59 \, d \cosh\left(d x + c\right) + 15 \, d\right)} \sinh\left(d x + c\right) + 9 \, d\right)}}"," ",0,"1/2048*(1416*cosh(d*x + c)^3 + 1416*(3*cosh(d*x + c) + 5)*sinh(d*x + c)^2 + 1416*sinh(d*x + c)^3 + 7080*cosh(d*x + c)^2 + 59*(9*cosh(d*x + c)^4 + 12*(3*cosh(d*x + c) + 5)*sinh(d*x + c)^3 + 9*sinh(d*x + c)^4 + 60*cosh(d*x + c)^3 + 2*(27*cosh(d*x + c)^2 + 90*cosh(d*x + c) + 59)*sinh(d*x + c)^2 + 118*cosh(d*x + c)^2 + 4*(9*cosh(d*x + c)^3 + 45*cosh(d*x + c)^2 + 59*cosh(d*x + c) + 15)*sinh(d*x + c) + 60*cosh(d*x + c) + 9)*log(3*cosh(d*x + c) + 3*sinh(d*x + c) + 1) - 59*(9*cosh(d*x + c)^4 + 12*(3*cosh(d*x + c) + 5)*sinh(d*x + c)^3 + 9*sinh(d*x + c)^4 + 60*cosh(d*x + c)^3 + 2*(27*cosh(d*x + c)^2 + 90*cosh(d*x + c) + 59)*sinh(d*x + c)^2 + 118*cosh(d*x + c)^2 + 4*(9*cosh(d*x + c)^3 + 45*cosh(d*x + c)^2 + 59*cosh(d*x + c) + 15)*sinh(d*x + c) + 60*cosh(d*x + c) + 9)*log(cosh(d*x + c) + sinh(d*x + c) + 3) + 24*(177*cosh(d*x + c)^2 + 590*cosh(d*x + c) + 241)*sinh(d*x + c) + 5784*cosh(d*x + c) + 1080)/(9*d*cosh(d*x + c)^4 + 9*d*sinh(d*x + c)^4 + 60*d*cosh(d*x + c)^3 + 12*(3*d*cosh(d*x + c) + 5*d)*sinh(d*x + c)^3 + 118*d*cosh(d*x + c)^2 + 2*(27*d*cosh(d*x + c)^2 + 90*d*cosh(d*x + c) + 59*d)*sinh(d*x + c)^2 + 60*d*cosh(d*x + c) + 4*(9*d*cosh(d*x + c)^3 + 45*d*cosh(d*x + c)^2 + 59*d*cosh(d*x + c) + 15*d)*sinh(d*x + c) + 9*d)","B",0
78,1,1078,0,0.660175," ","integrate(1/(5+3*cosh(d*x+c))^4,x, algorithm=""fricas"")","\frac{83160 \, \cosh\left(d x + c\right)^{5} + 138600 \, {\left(3 \, \cosh\left(d x + c\right) + 5\right)} \sinh\left(d x + c\right)^{4} + 83160 \, \sinh\left(d x + c\right)^{5} + 693000 \, \cosh\left(d x + c\right)^{4} + 6160 \, {\left(135 \, \cosh\left(d x + c\right)^{2} + 450 \, \cosh\left(d x + c\right) + 311\right)} \sinh\left(d x + c\right)^{3} + 1915760 \, \cosh\left(d x + c\right)^{3} + 48 \, {\left(17325 \, \cosh\left(d x + c\right)^{3} + 86625 \, \cosh\left(d x + c\right)^{2} + 119735 \, \cosh\left(d x + c\right) + 36411\right)} \sinh\left(d x + c\right)^{2} + 1747728 \, \cosh\left(d x + c\right)^{2} + 1155 \, {\left(27 \, \cosh\left(d x + c\right)^{6} + 54 \, {\left(3 \, \cosh\left(d x + c\right) + 5\right)} \sinh\left(d x + c\right)^{5} + 27 \, \sinh\left(d x + c\right)^{6} + 270 \, \cosh\left(d x + c\right)^{5} + 9 \, {\left(45 \, \cosh\left(d x + c\right)^{2} + 150 \, \cosh\left(d x + c\right) + 109\right)} \sinh\left(d x + c\right)^{4} + 981 \, \cosh\left(d x + c\right)^{4} + 4 \, {\left(135 \, \cosh\left(d x + c\right)^{3} + 675 \, \cosh\left(d x + c\right)^{2} + 981 \, \cosh\left(d x + c\right) + 385\right)} \sinh\left(d x + c\right)^{3} + 1540 \, \cosh\left(d x + c\right)^{3} + 3 \, {\left(135 \, \cosh\left(d x + c\right)^{4} + 900 \, \cosh\left(d x + c\right)^{3} + 1962 \, \cosh\left(d x + c\right)^{2} + 1540 \, \cosh\left(d x + c\right) + 327\right)} \sinh\left(d x + c\right)^{2} + 981 \, \cosh\left(d x + c\right)^{2} + 6 \, {\left(27 \, \cosh\left(d x + c\right)^{5} + 225 \, \cosh\left(d x + c\right)^{4} + 654 \, \cosh\left(d x + c\right)^{3} + 770 \, \cosh\left(d x + c\right)^{2} + 327 \, \cosh\left(d x + c\right) + 45\right)} \sinh\left(d x + c\right) + 270 \, \cosh\left(d x + c\right) + 27\right)} \log\left(3 \, \cosh\left(d x + c\right) + 3 \, \sinh\left(d x + c\right) + 1\right) - 1155 \, {\left(27 \, \cosh\left(d x + c\right)^{6} + 54 \, {\left(3 \, \cosh\left(d x + c\right) + 5\right)} \sinh\left(d x + c\right)^{5} + 27 \, \sinh\left(d x + c\right)^{6} + 270 \, \cosh\left(d x + c\right)^{5} + 9 \, {\left(45 \, \cosh\left(d x + c\right)^{2} + 150 \, \cosh\left(d x + c\right) + 109\right)} \sinh\left(d x + c\right)^{4} + 981 \, \cosh\left(d x + c\right)^{4} + 4 \, {\left(135 \, \cosh\left(d x + c\right)^{3} + 675 \, \cosh\left(d x + c\right)^{2} + 981 \, \cosh\left(d x + c\right) + 385\right)} \sinh\left(d x + c\right)^{3} + 1540 \, \cosh\left(d x + c\right)^{3} + 3 \, {\left(135 \, \cosh\left(d x + c\right)^{4} + 900 \, \cosh\left(d x + c\right)^{3} + 1962 \, \cosh\left(d x + c\right)^{2} + 1540 \, \cosh\left(d x + c\right) + 327\right)} \sinh\left(d x + c\right)^{2} + 981 \, \cosh\left(d x + c\right)^{2} + 6 \, {\left(27 \, \cosh\left(d x + c\right)^{5} + 225 \, \cosh\left(d x + c\right)^{4} + 654 \, \cosh\left(d x + c\right)^{3} + 770 \, \cosh\left(d x + c\right)^{2} + 327 \, \cosh\left(d x + c\right) + 45\right)} \sinh\left(d x + c\right) + 270 \, \cosh\left(d x + c\right) + 27\right)} \log\left(\cosh\left(d x + c\right) + \sinh\left(d x + c\right) + 3\right) + 24 \, {\left(17325 \, \cosh\left(d x + c\right)^{4} + 115500 \, \cosh\left(d x + c\right)^{3} + 239470 \, \cosh\left(d x + c\right)^{2} + 145644 \, \cosh\left(d x + c\right) + 24525\right)} \sinh\left(d x + c\right) + 588600 \, \cosh\left(d x + c\right) + 67176}{98304 \, {\left(27 \, d \cosh\left(d x + c\right)^{6} + 27 \, d \sinh\left(d x + c\right)^{6} + 270 \, d \cosh\left(d x + c\right)^{5} + 54 \, {\left(3 \, d \cosh\left(d x + c\right) + 5 \, d\right)} \sinh\left(d x + c\right)^{5} + 981 \, d \cosh\left(d x + c\right)^{4} + 9 \, {\left(45 \, d \cosh\left(d x + c\right)^{2} + 150 \, d \cosh\left(d x + c\right) + 109 \, d\right)} \sinh\left(d x + c\right)^{4} + 1540 \, d \cosh\left(d x + c\right)^{3} + 4 \, {\left(135 \, d \cosh\left(d x + c\right)^{3} + 675 \, d \cosh\left(d x + c\right)^{2} + 981 \, d \cosh\left(d x + c\right) + 385 \, d\right)} \sinh\left(d x + c\right)^{3} + 981 \, d \cosh\left(d x + c\right)^{2} + 3 \, {\left(135 \, d \cosh\left(d x + c\right)^{4} + 900 \, d \cosh\left(d x + c\right)^{3} + 1962 \, d \cosh\left(d x + c\right)^{2} + 1540 \, d \cosh\left(d x + c\right) + 327 \, d\right)} \sinh\left(d x + c\right)^{2} + 270 \, d \cosh\left(d x + c\right) + 6 \, {\left(27 \, d \cosh\left(d x + c\right)^{5} + 225 \, d \cosh\left(d x + c\right)^{4} + 654 \, d \cosh\left(d x + c\right)^{3} + 770 \, d \cosh\left(d x + c\right)^{2} + 327 \, d \cosh\left(d x + c\right) + 45 \, d\right)} \sinh\left(d x + c\right) + 27 \, d\right)}}"," ",0,"1/98304*(83160*cosh(d*x + c)^5 + 138600*(3*cosh(d*x + c) + 5)*sinh(d*x + c)^4 + 83160*sinh(d*x + c)^5 + 693000*cosh(d*x + c)^4 + 6160*(135*cosh(d*x + c)^2 + 450*cosh(d*x + c) + 311)*sinh(d*x + c)^3 + 1915760*cosh(d*x + c)^3 + 48*(17325*cosh(d*x + c)^3 + 86625*cosh(d*x + c)^2 + 119735*cosh(d*x + c) + 36411)*sinh(d*x + c)^2 + 1747728*cosh(d*x + c)^2 + 1155*(27*cosh(d*x + c)^6 + 54*(3*cosh(d*x + c) + 5)*sinh(d*x + c)^5 + 27*sinh(d*x + c)^6 + 270*cosh(d*x + c)^5 + 9*(45*cosh(d*x + c)^2 + 150*cosh(d*x + c) + 109)*sinh(d*x + c)^4 + 981*cosh(d*x + c)^4 + 4*(135*cosh(d*x + c)^3 + 675*cosh(d*x + c)^2 + 981*cosh(d*x + c) + 385)*sinh(d*x + c)^3 + 1540*cosh(d*x + c)^3 + 3*(135*cosh(d*x + c)^4 + 900*cosh(d*x + c)^3 + 1962*cosh(d*x + c)^2 + 1540*cosh(d*x + c) + 327)*sinh(d*x + c)^2 + 981*cosh(d*x + c)^2 + 6*(27*cosh(d*x + c)^5 + 225*cosh(d*x + c)^4 + 654*cosh(d*x + c)^3 + 770*cosh(d*x + c)^2 + 327*cosh(d*x + c) + 45)*sinh(d*x + c) + 270*cosh(d*x + c) + 27)*log(3*cosh(d*x + c) + 3*sinh(d*x + c) + 1) - 1155*(27*cosh(d*x + c)^6 + 54*(3*cosh(d*x + c) + 5)*sinh(d*x + c)^5 + 27*sinh(d*x + c)^6 + 270*cosh(d*x + c)^5 + 9*(45*cosh(d*x + c)^2 + 150*cosh(d*x + c) + 109)*sinh(d*x + c)^4 + 981*cosh(d*x + c)^4 + 4*(135*cosh(d*x + c)^3 + 675*cosh(d*x + c)^2 + 981*cosh(d*x + c) + 385)*sinh(d*x + c)^3 + 1540*cosh(d*x + c)^3 + 3*(135*cosh(d*x + c)^4 + 900*cosh(d*x + c)^3 + 1962*cosh(d*x + c)^2 + 1540*cosh(d*x + c) + 327)*sinh(d*x + c)^2 + 981*cosh(d*x + c)^2 + 6*(27*cosh(d*x + c)^5 + 225*cosh(d*x + c)^4 + 654*cosh(d*x + c)^3 + 770*cosh(d*x + c)^2 + 327*cosh(d*x + c) + 45)*sinh(d*x + c) + 270*cosh(d*x + c) + 27)*log(cosh(d*x + c) + sinh(d*x + c) + 3) + 24*(17325*cosh(d*x + c)^4 + 115500*cosh(d*x + c)^3 + 239470*cosh(d*x + c)^2 + 145644*cosh(d*x + c) + 24525)*sinh(d*x + c) + 588600*cosh(d*x + c) + 67176)/(27*d*cosh(d*x + c)^6 + 27*d*sinh(d*x + c)^6 + 270*d*cosh(d*x + c)^5 + 54*(3*d*cosh(d*x + c) + 5*d)*sinh(d*x + c)^5 + 981*d*cosh(d*x + c)^4 + 9*(45*d*cosh(d*x + c)^2 + 150*d*cosh(d*x + c) + 109*d)*sinh(d*x + c)^4 + 1540*d*cosh(d*x + c)^3 + 4*(135*d*cosh(d*x + c)^3 + 675*d*cosh(d*x + c)^2 + 981*d*cosh(d*x + c) + 385*d)*sinh(d*x + c)^3 + 981*d*cosh(d*x + c)^2 + 3*(135*d*cosh(d*x + c)^4 + 900*d*cosh(d*x + c)^3 + 1962*d*cosh(d*x + c)^2 + 1540*d*cosh(d*x + c) + 327*d)*sinh(d*x + c)^2 + 270*d*cosh(d*x + c) + 6*(27*d*cosh(d*x + c)^5 + 225*d*cosh(d*x + c)^4 + 654*d*cosh(d*x + c)^3 + 770*d*cosh(d*x + c)^2 + 327*d*cosh(d*x + c) + 45*d)*sinh(d*x + c) + 27*d)","B",0
79,0,0,0,0.687462," ","integrate((a+b*cosh(x))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{2} \cosh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + a^{2}\right)} \sqrt{b \cosh\left(x\right) + a}, x\right)"," ",0,"integral((b^2*cosh(x)^2 + 2*a*b*cosh(x) + a^2)*sqrt(b*cosh(x) + a), x)","F",0
80,0,0,0,1.232185," ","integrate((a+b*cosh(x))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(b \cosh\left(x\right) + a\right)}^{\frac{3}{2}}, x\right)"," ",0,"integral((b*cosh(x) + a)^(3/2), x)","F",0
81,0,0,0,0.809352," ","integrate((a+b*cosh(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cosh\left(d x + c\right) + a}, x\right)"," ",0,"integral(sqrt(b*cosh(d*x + c) + a), x)","F",0
82,0,0,0,1.322716," ","integrate(1/(a+b*cosh(x))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\sqrt{b \cosh\left(x\right) + a}}, x\right)"," ",0,"integral(1/sqrt(b*cosh(x) + a), x)","F",0
83,0,0,0,0.880624," ","integrate(1/(a+b*cosh(x))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \cosh\left(x\right) + a}}{b^{2} \cosh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + a^{2}}, x\right)"," ",0,"integral(sqrt(b*cosh(x) + a)/(b^2*cosh(x)^2 + 2*a*b*cosh(x) + a^2), x)","F",0
84,0,0,0,0.885066," ","integrate(1/(a+b*cosh(x))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \cosh\left(x\right) + a}}{b^{3} \cosh\left(x\right)^{3} + 3 \, a b^{2} \cosh\left(x\right)^{2} + 3 \, a^{2} b \cosh\left(x\right) + a^{3}}, x\right)"," ",0,"integral(sqrt(b*cosh(x) + a)/(b^3*cosh(x)^3 + 3*a*b^2*cosh(x)^2 + 3*a^2*b*cosh(x) + a^3), x)","F",0
85,0,0,0,1.013515," ","integrate(1/(a+b*cosh(x))^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \cosh\left(x\right) + a}}{b^{4} \cosh\left(x\right)^{4} + 4 \, a b^{3} \cosh\left(x\right)^{3} + 6 \, a^{2} b^{2} \cosh\left(x\right)^{2} + 4 \, a^{3} b \cosh\left(x\right) + a^{4}}, x\right)"," ",0,"integral(sqrt(b*cosh(x) + a)/(b^4*cosh(x)^4 + 4*a*b^3*cosh(x)^3 + 6*a^2*b^2*cosh(x)^2 + 4*a^3*b*cosh(x) + a^4), x)","F",0
86,0,0,0,0.750652," ","integrate(cosh(x)/(a+b*cosh(x))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\cosh\left(x\right)}{\sqrt{b \cosh\left(x\right) + a}}, x\right)"," ",0,"integral(cosh(x)/sqrt(b*cosh(x) + a), x)","F",0
87,1,563,0,0.699699," ","integrate((a+a*cosh(x))^(5/2)*(A+B*cosh(x)),x, algorithm=""fricas"")","\frac{\sqrt{\frac{1}{2}} {\left(15 \, B a^{2} \cosh\left(x\right)^{7} + 15 \, B a^{2} \sinh\left(x\right)^{7} + 21 \, {\left(2 \, A + 5 \, B\right)} a^{2} \cosh\left(x\right)^{6} + 35 \, {\left(10 \, A + 11 \, B\right)} a^{2} \cosh\left(x\right)^{5} + 525 \, {\left(4 \, A + 3 \, B\right)} a^{2} \cosh\left(x\right)^{4} + 21 \, {\left(5 \, B a^{2} \cosh\left(x\right) + {\left(2 \, A + 5 \, B\right)} a^{2}\right)} \sinh\left(x\right)^{6} - 525 \, {\left(4 \, A + 3 \, B\right)} a^{2} \cosh\left(x\right)^{3} + 7 \, {\left(45 \, B a^{2} \cosh\left(x\right)^{2} + 18 \, {\left(2 \, A + 5 \, B\right)} a^{2} \cosh\left(x\right) + 5 \, {\left(10 \, A + 11 \, B\right)} a^{2}\right)} \sinh\left(x\right)^{5} - 35 \, {\left(10 \, A + 11 \, B\right)} a^{2} \cosh\left(x\right)^{2} + 35 \, {\left(15 \, B a^{2} \cosh\left(x\right)^{3} + 9 \, {\left(2 \, A + 5 \, B\right)} a^{2} \cosh\left(x\right)^{2} + 5 \, {\left(10 \, A + 11 \, B\right)} a^{2} \cosh\left(x\right) + 15 \, {\left(4 \, A + 3 \, B\right)} a^{2}\right)} \sinh\left(x\right)^{4} - 21 \, {\left(2 \, A + 5 \, B\right)} a^{2} \cosh\left(x\right) + 35 \, {\left(15 \, B a^{2} \cosh\left(x\right)^{4} + 12 \, {\left(2 \, A + 5 \, B\right)} a^{2} \cosh\left(x\right)^{3} + 10 \, {\left(10 \, A + 11 \, B\right)} a^{2} \cosh\left(x\right)^{2} + 60 \, {\left(4 \, A + 3 \, B\right)} a^{2} \cosh\left(x\right) - 15 \, {\left(4 \, A + 3 \, B\right)} a^{2}\right)} \sinh\left(x\right)^{3} - 15 \, B a^{2} + 35 \, {\left(9 \, B a^{2} \cosh\left(x\right)^{5} + 9 \, {\left(2 \, A + 5 \, B\right)} a^{2} \cosh\left(x\right)^{4} + 10 \, {\left(10 \, A + 11 \, B\right)} a^{2} \cosh\left(x\right)^{3} + 90 \, {\left(4 \, A + 3 \, B\right)} a^{2} \cosh\left(x\right)^{2} - 45 \, {\left(4 \, A + 3 \, B\right)} a^{2} \cosh\left(x\right) - {\left(10 \, A + 11 \, B\right)} a^{2}\right)} \sinh\left(x\right)^{2} + 7 \, {\left(15 \, B a^{2} \cosh\left(x\right)^{6} + 18 \, {\left(2 \, A + 5 \, B\right)} a^{2} \cosh\left(x\right)^{5} + 25 \, {\left(10 \, A + 11 \, B\right)} a^{2} \cosh\left(x\right)^{4} + 300 \, {\left(4 \, A + 3 \, B\right)} a^{2} \cosh\left(x\right)^{3} - 225 \, {\left(4 \, A + 3 \, B\right)} a^{2} \cosh\left(x\right)^{2} - 10 \, {\left(10 \, A + 11 \, B\right)} a^{2} \cosh\left(x\right) - 3 \, {\left(2 \, A + 5 \, B\right)} a^{2}\right)} \sinh\left(x\right)\right)} \sqrt{\frac{a}{\cosh\left(x\right) + \sinh\left(x\right)}}}{420 \, {\left(\cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)^{2} \sinh\left(x\right) + 3 \, \cosh\left(x\right) \sinh\left(x\right)^{2} + \sinh\left(x\right)^{3}\right)}}"," ",0,"1/420*sqrt(1/2)*(15*B*a^2*cosh(x)^7 + 15*B*a^2*sinh(x)^7 + 21*(2*A + 5*B)*a^2*cosh(x)^6 + 35*(10*A + 11*B)*a^2*cosh(x)^5 + 525*(4*A + 3*B)*a^2*cosh(x)^4 + 21*(5*B*a^2*cosh(x) + (2*A + 5*B)*a^2)*sinh(x)^6 - 525*(4*A + 3*B)*a^2*cosh(x)^3 + 7*(45*B*a^2*cosh(x)^2 + 18*(2*A + 5*B)*a^2*cosh(x) + 5*(10*A + 11*B)*a^2)*sinh(x)^5 - 35*(10*A + 11*B)*a^2*cosh(x)^2 + 35*(15*B*a^2*cosh(x)^3 + 9*(2*A + 5*B)*a^2*cosh(x)^2 + 5*(10*A + 11*B)*a^2*cosh(x) + 15*(4*A + 3*B)*a^2)*sinh(x)^4 - 21*(2*A + 5*B)*a^2*cosh(x) + 35*(15*B*a^2*cosh(x)^4 + 12*(2*A + 5*B)*a^2*cosh(x)^3 + 10*(10*A + 11*B)*a^2*cosh(x)^2 + 60*(4*A + 3*B)*a^2*cosh(x) - 15*(4*A + 3*B)*a^2)*sinh(x)^3 - 15*B*a^2 + 35*(9*B*a^2*cosh(x)^5 + 9*(2*A + 5*B)*a^2*cosh(x)^4 + 10*(10*A + 11*B)*a^2*cosh(x)^3 + 90*(4*A + 3*B)*a^2*cosh(x)^2 - 45*(4*A + 3*B)*a^2*cosh(x) - (10*A + 11*B)*a^2)*sinh(x)^2 + 7*(15*B*a^2*cosh(x)^6 + 18*(2*A + 5*B)*a^2*cosh(x)^5 + 25*(10*A + 11*B)*a^2*cosh(x)^4 + 300*(4*A + 3*B)*a^2*cosh(x)^3 - 225*(4*A + 3*B)*a^2*cosh(x)^2 - 10*(10*A + 11*B)*a^2*cosh(x) - 3*(2*A + 5*B)*a^2)*sinh(x))*sqrt(a/(cosh(x) + sinh(x)))/(cosh(x)^3 + 3*cosh(x)^2*sinh(x) + 3*cosh(x)*sinh(x)^2 + sinh(x)^3)","B",0
88,1,279,0,0.509677," ","integrate((a+a*cosh(x))^(3/2)*(A+B*cosh(x)),x, algorithm=""fricas"")","\frac{\sqrt{\frac{1}{2}} {\left(3 \, B a \cosh\left(x\right)^{5} + 3 \, B a \sinh\left(x\right)^{5} + 5 \, {\left(2 \, A + 3 \, B\right)} a \cosh\left(x\right)^{4} + 30 \, {\left(3 \, A + 2 \, B\right)} a \cosh\left(x\right)^{3} + 5 \, {\left(3 \, B a \cosh\left(x\right) + {\left(2 \, A + 3 \, B\right)} a\right)} \sinh\left(x\right)^{4} - 30 \, {\left(3 \, A + 2 \, B\right)} a \cosh\left(x\right)^{2} + 10 \, {\left(3 \, B a \cosh\left(x\right)^{2} + 2 \, {\left(2 \, A + 3 \, B\right)} a \cosh\left(x\right) + 3 \, {\left(3 \, A + 2 \, B\right)} a\right)} \sinh\left(x\right)^{3} - 5 \, {\left(2 \, A + 3 \, B\right)} a \cosh\left(x\right) + 30 \, {\left(B a \cosh\left(x\right)^{3} + {\left(2 \, A + 3 \, B\right)} a \cosh\left(x\right)^{2} + 3 \, {\left(3 \, A + 2 \, B\right)} a \cosh\left(x\right) - {\left(3 \, A + 2 \, B\right)} a\right)} \sinh\left(x\right)^{2} - 3 \, B a + 5 \, {\left(3 \, B a \cosh\left(x\right)^{4} + 4 \, {\left(2 \, A + 3 \, B\right)} a \cosh\left(x\right)^{3} + 18 \, {\left(3 \, A + 2 \, B\right)} a \cosh\left(x\right)^{2} - 12 \, {\left(3 \, A + 2 \, B\right)} a \cosh\left(x\right) - {\left(2 \, A + 3 \, B\right)} a\right)} \sinh\left(x\right)\right)} \sqrt{\frac{a}{\cosh\left(x\right) + \sinh\left(x\right)}}}{30 \, {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}\right)}}"," ",0,"1/30*sqrt(1/2)*(3*B*a*cosh(x)^5 + 3*B*a*sinh(x)^5 + 5*(2*A + 3*B)*a*cosh(x)^4 + 30*(3*A + 2*B)*a*cosh(x)^3 + 5*(3*B*a*cosh(x) + (2*A + 3*B)*a)*sinh(x)^4 - 30*(3*A + 2*B)*a*cosh(x)^2 + 10*(3*B*a*cosh(x)^2 + 2*(2*A + 3*B)*a*cosh(x) + 3*(3*A + 2*B)*a)*sinh(x)^3 - 5*(2*A + 3*B)*a*cosh(x) + 30*(B*a*cosh(x)^3 + (2*A + 3*B)*a*cosh(x)^2 + 3*(3*A + 2*B)*a*cosh(x) - (3*A + 2*B)*a)*sinh(x)^2 - 3*B*a + 5*(3*B*a*cosh(x)^4 + 4*(2*A + 3*B)*a*cosh(x)^3 + 18*(3*A + 2*B)*a*cosh(x)^2 - 12*(3*A + 2*B)*a*cosh(x) - (2*A + 3*B)*a)*sinh(x))*sqrt(a/(cosh(x) + sinh(x)))/(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2)","B",0
89,1,100,0,0.494552," ","integrate((a+a*cosh(x))^(1/2)*(A+B*cosh(x)),x, algorithm=""fricas"")","\frac{\sqrt{\frac{1}{2}} {\left(B \cosh\left(x\right)^{3} + B \sinh\left(x\right)^{3} + 3 \, {\left(2 \, A + B\right)} \cosh\left(x\right)^{2} + 3 \, {\left(B \cosh\left(x\right) + 2 \, A + B\right)} \sinh\left(x\right)^{2} - 3 \, {\left(2 \, A + B\right)} \cosh\left(x\right) + 3 \, {\left(B \cosh\left(x\right)^{2} + 2 \, {\left(2 \, A + B\right)} \cosh\left(x\right) - 2 \, A - B\right)} \sinh\left(x\right) - B\right)} \sqrt{\frac{a}{\cosh\left(x\right) + \sinh\left(x\right)}}}{3 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"1/3*sqrt(1/2)*(B*cosh(x)^3 + B*sinh(x)^3 + 3*(2*A + B)*cosh(x)^2 + 3*(B*cosh(x) + 2*A + B)*sinh(x)^2 - 3*(2*A + B)*cosh(x) + 3*(B*cosh(x)^2 + 2*(2*A + B)*cosh(x) - 2*A - B)*sinh(x) - B)*sqrt(a/(cosh(x) + sinh(x)))/(cosh(x) + sinh(x))","B",0
90,1,564,0,0.517087," ","integrate((a-a*cosh(x))^(5/2)*(A+B*cosh(x)),x, algorithm=""fricas"")","\frac{\sqrt{\frac{1}{2}} {\left(15 \, B a^{2} \cosh\left(x\right)^{7} + 15 \, B a^{2} \sinh\left(x\right)^{7} + 21 \, {\left(2 \, A - 5 \, B\right)} a^{2} \cosh\left(x\right)^{6} - 35 \, {\left(10 \, A - 11 \, B\right)} a^{2} \cosh\left(x\right)^{5} + 525 \, {\left(4 \, A - 3 \, B\right)} a^{2} \cosh\left(x\right)^{4} + 21 \, {\left(5 \, B a^{2} \cosh\left(x\right) + {\left(2 \, A - 5 \, B\right)} a^{2}\right)} \sinh\left(x\right)^{6} + 525 \, {\left(4 \, A - 3 \, B\right)} a^{2} \cosh\left(x\right)^{3} + 7 \, {\left(45 \, B a^{2} \cosh\left(x\right)^{2} + 18 \, {\left(2 \, A - 5 \, B\right)} a^{2} \cosh\left(x\right) - 5 \, {\left(10 \, A - 11 \, B\right)} a^{2}\right)} \sinh\left(x\right)^{5} - 35 \, {\left(10 \, A - 11 \, B\right)} a^{2} \cosh\left(x\right)^{2} + 35 \, {\left(15 \, B a^{2} \cosh\left(x\right)^{3} + 9 \, {\left(2 \, A - 5 \, B\right)} a^{2} \cosh\left(x\right)^{2} - 5 \, {\left(10 \, A - 11 \, B\right)} a^{2} \cosh\left(x\right) + 15 \, {\left(4 \, A - 3 \, B\right)} a^{2}\right)} \sinh\left(x\right)^{4} + 21 \, {\left(2 \, A - 5 \, B\right)} a^{2} \cosh\left(x\right) + 35 \, {\left(15 \, B a^{2} \cosh\left(x\right)^{4} + 12 \, {\left(2 \, A - 5 \, B\right)} a^{2} \cosh\left(x\right)^{3} - 10 \, {\left(10 \, A - 11 \, B\right)} a^{2} \cosh\left(x\right)^{2} + 60 \, {\left(4 \, A - 3 \, B\right)} a^{2} \cosh\left(x\right) + 15 \, {\left(4 \, A - 3 \, B\right)} a^{2}\right)} \sinh\left(x\right)^{3} + 15 \, B a^{2} + 35 \, {\left(9 \, B a^{2} \cosh\left(x\right)^{5} + 9 \, {\left(2 \, A - 5 \, B\right)} a^{2} \cosh\left(x\right)^{4} - 10 \, {\left(10 \, A - 11 \, B\right)} a^{2} \cosh\left(x\right)^{3} + 90 \, {\left(4 \, A - 3 \, B\right)} a^{2} \cosh\left(x\right)^{2} + 45 \, {\left(4 \, A - 3 \, B\right)} a^{2} \cosh\left(x\right) - {\left(10 \, A - 11 \, B\right)} a^{2}\right)} \sinh\left(x\right)^{2} + 7 \, {\left(15 \, B a^{2} \cosh\left(x\right)^{6} + 18 \, {\left(2 \, A - 5 \, B\right)} a^{2} \cosh\left(x\right)^{5} - 25 \, {\left(10 \, A - 11 \, B\right)} a^{2} \cosh\left(x\right)^{4} + 300 \, {\left(4 \, A - 3 \, B\right)} a^{2} \cosh\left(x\right)^{3} + 225 \, {\left(4 \, A - 3 \, B\right)} a^{2} \cosh\left(x\right)^{2} - 10 \, {\left(10 \, A - 11 \, B\right)} a^{2} \cosh\left(x\right) + 3 \, {\left(2 \, A - 5 \, B\right)} a^{2}\right)} \sinh\left(x\right)\right)} \sqrt{-\frac{a}{\cosh\left(x\right) + \sinh\left(x\right)}}}{420 \, {\left(\cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)^{2} \sinh\left(x\right) + 3 \, \cosh\left(x\right) \sinh\left(x\right)^{2} + \sinh\left(x\right)^{3}\right)}}"," ",0,"1/420*sqrt(1/2)*(15*B*a^2*cosh(x)^7 + 15*B*a^2*sinh(x)^7 + 21*(2*A - 5*B)*a^2*cosh(x)^6 - 35*(10*A - 11*B)*a^2*cosh(x)^5 + 525*(4*A - 3*B)*a^2*cosh(x)^4 + 21*(5*B*a^2*cosh(x) + (2*A - 5*B)*a^2)*sinh(x)^6 + 525*(4*A - 3*B)*a^2*cosh(x)^3 + 7*(45*B*a^2*cosh(x)^2 + 18*(2*A - 5*B)*a^2*cosh(x) - 5*(10*A - 11*B)*a^2)*sinh(x)^5 - 35*(10*A - 11*B)*a^2*cosh(x)^2 + 35*(15*B*a^2*cosh(x)^3 + 9*(2*A - 5*B)*a^2*cosh(x)^2 - 5*(10*A - 11*B)*a^2*cosh(x) + 15*(4*A - 3*B)*a^2)*sinh(x)^4 + 21*(2*A - 5*B)*a^2*cosh(x) + 35*(15*B*a^2*cosh(x)^4 + 12*(2*A - 5*B)*a^2*cosh(x)^3 - 10*(10*A - 11*B)*a^2*cosh(x)^2 + 60*(4*A - 3*B)*a^2*cosh(x) + 15*(4*A - 3*B)*a^2)*sinh(x)^3 + 15*B*a^2 + 35*(9*B*a^2*cosh(x)^5 + 9*(2*A - 5*B)*a^2*cosh(x)^4 - 10*(10*A - 11*B)*a^2*cosh(x)^3 + 90*(4*A - 3*B)*a^2*cosh(x)^2 + 45*(4*A - 3*B)*a^2*cosh(x) - (10*A - 11*B)*a^2)*sinh(x)^2 + 7*(15*B*a^2*cosh(x)^6 + 18*(2*A - 5*B)*a^2*cosh(x)^5 - 25*(10*A - 11*B)*a^2*cosh(x)^4 + 300*(4*A - 3*B)*a^2*cosh(x)^3 + 225*(4*A - 3*B)*a^2*cosh(x)^2 - 10*(10*A - 11*B)*a^2*cosh(x) + 3*(2*A - 5*B)*a^2)*sinh(x))*sqrt(-a/(cosh(x) + sinh(x)))/(cosh(x)^3 + 3*cosh(x)^2*sinh(x) + 3*cosh(x)*sinh(x)^2 + sinh(x)^3)","B",0
91,1,279,0,0.524471," ","integrate((a-a*cosh(x))^(3/2)*(A+B*cosh(x)),x, algorithm=""fricas"")","-\frac{\sqrt{\frac{1}{2}} {\left(3 \, B a \cosh\left(x\right)^{5} + 3 \, B a \sinh\left(x\right)^{5} + 5 \, {\left(2 \, A - 3 \, B\right)} a \cosh\left(x\right)^{4} - 30 \, {\left(3 \, A - 2 \, B\right)} a \cosh\left(x\right)^{3} + 5 \, {\left(3 \, B a \cosh\left(x\right) + {\left(2 \, A - 3 \, B\right)} a\right)} \sinh\left(x\right)^{4} - 30 \, {\left(3 \, A - 2 \, B\right)} a \cosh\left(x\right)^{2} + 10 \, {\left(3 \, B a \cosh\left(x\right)^{2} + 2 \, {\left(2 \, A - 3 \, B\right)} a \cosh\left(x\right) - 3 \, {\left(3 \, A - 2 \, B\right)} a\right)} \sinh\left(x\right)^{3} + 5 \, {\left(2 \, A - 3 \, B\right)} a \cosh\left(x\right) + 30 \, {\left(B a \cosh\left(x\right)^{3} + {\left(2 \, A - 3 \, B\right)} a \cosh\left(x\right)^{2} - 3 \, {\left(3 \, A - 2 \, B\right)} a \cosh\left(x\right) - {\left(3 \, A - 2 \, B\right)} a\right)} \sinh\left(x\right)^{2} + 3 \, B a + 5 \, {\left(3 \, B a \cosh\left(x\right)^{4} + 4 \, {\left(2 \, A - 3 \, B\right)} a \cosh\left(x\right)^{3} - 18 \, {\left(3 \, A - 2 \, B\right)} a \cosh\left(x\right)^{2} - 12 \, {\left(3 \, A - 2 \, B\right)} a \cosh\left(x\right) + {\left(2 \, A - 3 \, B\right)} a\right)} \sinh\left(x\right)\right)} \sqrt{-\frac{a}{\cosh\left(x\right) + \sinh\left(x\right)}}}{30 \, {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}\right)}}"," ",0,"-1/30*sqrt(1/2)*(3*B*a*cosh(x)^5 + 3*B*a*sinh(x)^5 + 5*(2*A - 3*B)*a*cosh(x)^4 - 30*(3*A - 2*B)*a*cosh(x)^3 + 5*(3*B*a*cosh(x) + (2*A - 3*B)*a)*sinh(x)^4 - 30*(3*A - 2*B)*a*cosh(x)^2 + 10*(3*B*a*cosh(x)^2 + 2*(2*A - 3*B)*a*cosh(x) - 3*(3*A - 2*B)*a)*sinh(x)^3 + 5*(2*A - 3*B)*a*cosh(x) + 30*(B*a*cosh(x)^3 + (2*A - 3*B)*a*cosh(x)^2 - 3*(3*A - 2*B)*a*cosh(x) - (3*A - 2*B)*a)*sinh(x)^2 + 3*B*a + 5*(3*B*a*cosh(x)^4 + 4*(2*A - 3*B)*a*cosh(x)^3 - 18*(3*A - 2*B)*a*cosh(x)^2 - 12*(3*A - 2*B)*a*cosh(x) + (2*A - 3*B)*a)*sinh(x))*sqrt(-a/(cosh(x) + sinh(x)))/(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2)","B",0
92,1,107,0,0.493783," ","integrate((a-a*cosh(x))^(1/2)*(A+B*cosh(x)),x, algorithm=""fricas"")","\frac{\sqrt{\frac{1}{2}} {\left(B \cosh\left(x\right)^{3} + B \sinh\left(x\right)^{3} + 3 \, {\left(2 \, A - B\right)} \cosh\left(x\right)^{2} + 3 \, {\left(B \cosh\left(x\right) + 2 \, A - B\right)} \sinh\left(x\right)^{2} + 3 \, {\left(2 \, A - B\right)} \cosh\left(x\right) + 3 \, {\left(B \cosh\left(x\right)^{2} + 2 \, {\left(2 \, A - B\right)} \cosh\left(x\right) + 2 \, A - B\right)} \sinh\left(x\right) + B\right)} \sqrt{-\frac{a}{\cosh\left(x\right) + \sinh\left(x\right)}}}{3 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"1/3*sqrt(1/2)*(B*cosh(x)^3 + B*sinh(x)^3 + 3*(2*A - B)*cosh(x)^2 + 3*(B*cosh(x) + 2*A - B)*sinh(x)^2 + 3*(2*A - B)*cosh(x) + 3*(B*cosh(x)^2 + 2*(2*A - B)*cosh(x) + 2*A - B)*sinh(x) + B)*sqrt(-a/(cosh(x) + sinh(x)))/(cosh(x) + sinh(x))","B",0
93,1,29,0,0.836698," ","integrate((A+B*cosh(x))/(1+cosh(x)),x, algorithm=""fricas"")","\frac{B x \cosh\left(x\right) + B x \sinh\left(x\right) + B x - 2 \, A + 2 \, B}{\cosh\left(x\right) + \sinh\left(x\right) + 1}"," ",0,"(B*x*cosh(x) + B*x*sinh(x) + B*x - 2*A + 2*B)/(cosh(x) + sinh(x) + 1)","A",0
94,1,50,0,0.845135," ","integrate((A+B*cosh(x))/(1+cosh(x))^2,x, algorithm=""fricas"")","-\frac{2 \, {\left({\left(A + 5 \, B\right)} \cosh\left(x\right) - {\left(A - B\right)} \sinh\left(x\right) + 3 \, A + 3 \, B\right)}}{3 \, {\left(\cosh\left(x\right)^{2} + 2 \, {\left(\cosh\left(x\right) + 1\right)} \sinh\left(x\right) + \sinh\left(x\right)^{2} + 4 \, \cosh\left(x\right) + 3\right)}}"," ",0,"-2/3*((A + 5*B)*cosh(x) - (A - B)*sinh(x) + 3*A + 3*B)/(cosh(x)^2 + 2*(cosh(x) + 1)*sinh(x) + sinh(x)^2 + 4*cosh(x) + 3)","A",0
95,1,127,0,1.103522," ","integrate((A+B*cosh(x))/(1+cosh(x))^3,x, algorithm=""fricas"")","-\frac{2 \, {\left(15 \, B \cosh\left(x\right)^{2} + 15 \, B \sinh\left(x\right)^{2} + 2 \, {\left(11 \, A + 9 \, B\right)} \cosh\left(x\right) + 6 \, {\left(5 \, B \cosh\left(x\right) + 3 \, A + 2 \, B\right)} \sinh\left(x\right) + 10 \, A + 15 \, B\right)}}{15 \, {\left(\cosh\left(x\right)^{4} + {\left(4 \, \cosh\left(x\right) + 5\right)} \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} + 5 \, \cosh\left(x\right)^{3} + {\left(6 \, \cosh\left(x\right)^{2} + 15 \, \cosh\left(x\right) + 10\right)} \sinh\left(x\right)^{2} + 10 \, \cosh\left(x\right)^{2} + {\left(4 \, \cosh\left(x\right)^{3} + 15 \, \cosh\left(x\right)^{2} + 20 \, \cosh\left(x\right) + 9\right)} \sinh\left(x\right) + 11 \, \cosh\left(x\right) + 5\right)}}"," ",0,"-2/15*(15*B*cosh(x)^2 + 15*B*sinh(x)^2 + 2*(11*A + 9*B)*cosh(x) + 6*(5*B*cosh(x) + 3*A + 2*B)*sinh(x) + 10*A + 15*B)/(cosh(x)^4 + (4*cosh(x) + 5)*sinh(x)^3 + sinh(x)^4 + 5*cosh(x)^3 + (6*cosh(x)^2 + 15*cosh(x) + 10)*sinh(x)^2 + 10*cosh(x)^2 + (4*cosh(x)^3 + 15*cosh(x)^2 + 20*cosh(x) + 9)*sinh(x) + 11*cosh(x) + 5)","B",0
96,1,175,0,0.730970," ","integrate((A+B*cosh(x))/(1+cosh(x))^4,x, algorithm=""fricas"")","-\frac{4 \, {\left({\left(3 \, A + 74 \, B\right)} \cosh\left(x\right)^{2} + {\left(3 \, A + 74 \, B\right)} \sinh\left(x\right)^{2} + 14 \, {\left(9 \, A + 7 \, B\right)} \cosh\left(x\right) - 6 \, {\left({\left(A - 22 \, B\right)} \cosh\left(x\right) - 14 \, A - 7 \, B\right)} \sinh\left(x\right) + 63 \, A + 84 \, B\right)}}{105 \, {\left(\cosh\left(x\right)^{5} + {\left(5 \, \cosh\left(x\right) + 7\right)} \sinh\left(x\right)^{4} + \sinh\left(x\right)^{5} + 7 \, \cosh\left(x\right)^{4} + {\left(10 \, \cosh\left(x\right)^{2} + 28 \, \cosh\left(x\right) + 21\right)} \sinh\left(x\right)^{3} + 21 \, \cosh\left(x\right)^{3} + {\left(10 \, \cosh\left(x\right)^{3} + 42 \, \cosh\left(x\right)^{2} + 63 \, \cosh\left(x\right) + 36\right)} \sinh\left(x\right)^{2} + 36 \, \cosh\left(x\right)^{2} + {\left(5 \, \cosh\left(x\right)^{4} + 28 \, \cosh\left(x\right)^{3} + 63 \, \cosh\left(x\right)^{2} + 68 \, \cosh\left(x\right) + 28\right)} \sinh\left(x\right) + 42 \, \cosh\left(x\right) + 21\right)}}"," ",0,"-4/105*((3*A + 74*B)*cosh(x)^2 + (3*A + 74*B)*sinh(x)^2 + 14*(9*A + 7*B)*cosh(x) - 6*((A - 22*B)*cosh(x) - 14*A - 7*B)*sinh(x) + 63*A + 84*B)/(cosh(x)^5 + (5*cosh(x) + 7)*sinh(x)^4 + sinh(x)^5 + 7*cosh(x)^4 + (10*cosh(x)^2 + 28*cosh(x) + 21)*sinh(x)^3 + 21*cosh(x)^3 + (10*cosh(x)^3 + 42*cosh(x)^2 + 63*cosh(x) + 36)*sinh(x)^2 + 36*cosh(x)^2 + (5*cosh(x)^4 + 28*cosh(x)^3 + 63*cosh(x)^2 + 68*cosh(x) + 28)*sinh(x) + 42*cosh(x) + 21)","B",0
97,1,31,0,0.721721," ","integrate((A+B*cosh(x))/(1-cosh(x)),x, algorithm=""fricas"")","-\frac{B x \cosh\left(x\right) + B x \sinh\left(x\right) - B x - 2 \, A - 2 \, B}{\cosh\left(x\right) + \sinh\left(x\right) - 1}"," ",0,"-(B*x*cosh(x) + B*x*sinh(x) - B*x - 2*A - 2*B)/(cosh(x) + sinh(x) - 1)","A",0
98,1,48,0,1.204204," ","integrate((A+B*cosh(x))/(1-cosh(x))^2,x, algorithm=""fricas"")","\frac{2 \, {\left({\left(A - 5 \, B\right)} \cosh\left(x\right) - {\left(A + B\right)} \sinh\left(x\right) - 3 \, A + 3 \, B\right)}}{3 \, {\left(\cosh\left(x\right)^{2} + 2 \, {\left(\cosh\left(x\right) - 1\right)} \sinh\left(x\right) + \sinh\left(x\right)^{2} - 4 \, \cosh\left(x\right) + 3\right)}}"," ",0,"2/3*((A - 5*B)*cosh(x) - (A + B)*sinh(x) - 3*A + 3*B)/(cosh(x)^2 + 2*(cosh(x) - 1)*sinh(x) + sinh(x)^2 - 4*cosh(x) + 3)","A",0
99,1,127,0,1.486624," ","integrate((A+B*cosh(x))/(1-cosh(x))^3,x, algorithm=""fricas"")","\frac{2 \, {\left(15 \, B \cosh\left(x\right)^{2} + 15 \, B \sinh\left(x\right)^{2} + 2 \, {\left(11 \, A - 9 \, B\right)} \cosh\left(x\right) + 6 \, {\left(5 \, B \cosh\left(x\right) + 3 \, A - 2 \, B\right)} \sinh\left(x\right) - 10 \, A + 15 \, B\right)}}{15 \, {\left(\cosh\left(x\right)^{4} + {\left(4 \, \cosh\left(x\right) - 5\right)} \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} - 5 \, \cosh\left(x\right)^{3} + {\left(6 \, \cosh\left(x\right)^{2} - 15 \, \cosh\left(x\right) + 10\right)} \sinh\left(x\right)^{2} + 10 \, \cosh\left(x\right)^{2} + {\left(4 \, \cosh\left(x\right)^{3} - 15 \, \cosh\left(x\right)^{2} + 20 \, \cosh\left(x\right) - 9\right)} \sinh\left(x\right) - 11 \, \cosh\left(x\right) + 5\right)}}"," ",0,"2/15*(15*B*cosh(x)^2 + 15*B*sinh(x)^2 + 2*(11*A - 9*B)*cosh(x) + 6*(5*B*cosh(x) + 3*A - 2*B)*sinh(x) - 10*A + 15*B)/(cosh(x)^4 + (4*cosh(x) - 5)*sinh(x)^3 + sinh(x)^4 - 5*cosh(x)^3 + (6*cosh(x)^2 - 15*cosh(x) + 10)*sinh(x)^2 + 10*cosh(x)^2 + (4*cosh(x)^3 - 15*cosh(x)^2 + 20*cosh(x) - 9)*sinh(x) - 11*cosh(x) + 5)","B",0
100,1,175,0,0.837096," ","integrate((A+B*cosh(x))/(1-cosh(x))^4,x, algorithm=""fricas"")","\frac{4 \, {\left({\left(3 \, A - 74 \, B\right)} \cosh\left(x\right)^{2} + {\left(3 \, A - 74 \, B\right)} \sinh\left(x\right)^{2} - 14 \, {\left(9 \, A - 7 \, B\right)} \cosh\left(x\right) - 6 \, {\left({\left(A + 22 \, B\right)} \cosh\left(x\right) + 14 \, A - 7 \, B\right)} \sinh\left(x\right) + 63 \, A - 84 \, B\right)}}{105 \, {\left(\cosh\left(x\right)^{5} + {\left(5 \, \cosh\left(x\right) - 7\right)} \sinh\left(x\right)^{4} + \sinh\left(x\right)^{5} - 7 \, \cosh\left(x\right)^{4} + {\left(10 \, \cosh\left(x\right)^{2} - 28 \, \cosh\left(x\right) + 21\right)} \sinh\left(x\right)^{3} + 21 \, \cosh\left(x\right)^{3} + {\left(10 \, \cosh\left(x\right)^{3} - 42 \, \cosh\left(x\right)^{2} + 63 \, \cosh\left(x\right) - 36\right)} \sinh\left(x\right)^{2} - 36 \, \cosh\left(x\right)^{2} + {\left(5 \, \cosh\left(x\right)^{4} - 28 \, \cosh\left(x\right)^{3} + 63 \, \cosh\left(x\right)^{2} - 68 \, \cosh\left(x\right) + 28\right)} \sinh\left(x\right) + 42 \, \cosh\left(x\right) - 21\right)}}"," ",0,"4/105*((3*A - 74*B)*cosh(x)^2 + (3*A - 74*B)*sinh(x)^2 - 14*(9*A - 7*B)*cosh(x) - 6*((A + 22*B)*cosh(x) + 14*A - 7*B)*sinh(x) + 63*A - 84*B)/(cosh(x)^5 + (5*cosh(x) - 7)*sinh(x)^4 + sinh(x)^5 - 7*cosh(x)^4 + (10*cosh(x)^2 - 28*cosh(x) + 21)*sinh(x)^3 + 21*cosh(x)^3 + (10*cosh(x)^3 - 42*cosh(x)^2 + 63*cosh(x) - 36)*sinh(x)^2 - 36*cosh(x)^2 + (5*cosh(x)^4 - 28*cosh(x)^3 + 63*cosh(x)^2 - 68*cosh(x) + 28)*sinh(x) + 42*cosh(x) - 21)","B",0
101,1,72,0,3.967313," ","integrate((A+B*cosh(x))/(a+a*cosh(x))^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(\sqrt{2} {\left(A - B\right)} \sqrt{a} \arctan\left(\frac{\sqrt{2} \sqrt{\frac{1}{2}} \sqrt{\frac{a}{\cosh\left(x\right) + \sinh\left(x\right)}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}{\sqrt{a}}\right) + \sqrt{\frac{1}{2}} {\left(B \cosh\left(x\right) + B \sinh\left(x\right) - B\right)} \sqrt{\frac{a}{\cosh\left(x\right) + \sinh\left(x\right)}}\right)}}{a}"," ",0,"2*(sqrt(2)*(A - B)*sqrt(a)*arctan(sqrt(2)*sqrt(1/2)*sqrt(a/(cosh(x) + sinh(x)))*(cosh(x) + sinh(x))/sqrt(a)) + sqrt(1/2)*(B*cosh(x) + B*sinh(x) - B)*sqrt(a/(cosh(x) + sinh(x))))/a","A",0
102,1,189,0,1.036268," ","integrate((A+B*cosh(x))/(a+a*cosh(x))^(3/2),x, algorithm=""fricas"")","-\frac{\sqrt{2} {\left({\left(A + 3 \, B\right)} \cosh\left(x\right)^{2} + {\left(A + 3 \, B\right)} \sinh\left(x\right)^{2} + 2 \, {\left(A + 3 \, B\right)} \cosh\left(x\right) + 2 \, {\left({\left(A + 3 \, B\right)} \cosh\left(x\right) + A + 3 \, B\right)} \sinh\left(x\right) + A + 3 \, B\right)} \sqrt{a} \arctan\left(\frac{\sqrt{2} \sqrt{\frac{1}{2}} \sqrt{\frac{a}{\cosh\left(x\right) + \sinh\left(x\right)}}}{\sqrt{a}}\right) - 2 \, \sqrt{\frac{1}{2}} {\left({\left(A - B\right)} \cosh\left(x\right)^{2} + {\left(A - B\right)} \sinh\left(x\right)^{2} - {\left(A - B\right)} \cosh\left(x\right) + {\left(2 \, {\left(A - B\right)} \cosh\left(x\right) - A + B\right)} \sinh\left(x\right)\right)} \sqrt{\frac{a}{\cosh\left(x\right) + \sinh\left(x\right)}}}{2 \, {\left(a^{2} \cosh\left(x\right)^{2} + a^{2} \sinh\left(x\right)^{2} + 2 \, a^{2} \cosh\left(x\right) + a^{2} + 2 \, {\left(a^{2} \cosh\left(x\right) + a^{2}\right)} \sinh\left(x\right)\right)}}"," ",0,"-1/2*(sqrt(2)*((A + 3*B)*cosh(x)^2 + (A + 3*B)*sinh(x)^2 + 2*(A + 3*B)*cosh(x) + 2*((A + 3*B)*cosh(x) + A + 3*B)*sinh(x) + A + 3*B)*sqrt(a)*arctan(sqrt(2)*sqrt(1/2)*sqrt(a/(cosh(x) + sinh(x)))/sqrt(a)) - 2*sqrt(1/2)*((A - B)*cosh(x)^2 + (A - B)*sinh(x)^2 - (A - B)*cosh(x) + (2*(A - B)*cosh(x) - A + B)*sinh(x))*sqrt(a/(cosh(x) + sinh(x))))/(a^2*cosh(x)^2 + a^2*sinh(x)^2 + 2*a^2*cosh(x) + a^2 + 2*(a^2*cosh(x) + a^2)*sinh(x))","B",0
103,1,509,0,0.854299," ","integrate((A+B*cosh(x))/(a+a*cosh(x))^(5/2),x, algorithm=""fricas"")","-\frac{\sqrt{2} {\left({\left(3 \, A + 5 \, B\right)} \cosh\left(x\right)^{4} + {\left(3 \, A + 5 \, B\right)} \sinh\left(x\right)^{4} + 4 \, {\left(3 \, A + 5 \, B\right)} \cosh\left(x\right)^{3} + 4 \, {\left({\left(3 \, A + 5 \, B\right)} \cosh\left(x\right) + 3 \, A + 5 \, B\right)} \sinh\left(x\right)^{3} + 6 \, {\left(3 \, A + 5 \, B\right)} \cosh\left(x\right)^{2} + 6 \, {\left({\left(3 \, A + 5 \, B\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, A + 5 \, B\right)} \cosh\left(x\right) + 3 \, A + 5 \, B\right)} \sinh\left(x\right)^{2} + 4 \, {\left(3 \, A + 5 \, B\right)} \cosh\left(x\right) + 4 \, {\left({\left(3 \, A + 5 \, B\right)} \cosh\left(x\right)^{3} + 3 \, {\left(3 \, A + 5 \, B\right)} \cosh\left(x\right)^{2} + 3 \, {\left(3 \, A + 5 \, B\right)} \cosh\left(x\right) + 3 \, A + 5 \, B\right)} \sinh\left(x\right) + 3 \, A + 5 \, B\right)} \sqrt{a} \arctan\left(\frac{\sqrt{2} \sqrt{\frac{1}{2}} \sqrt{\frac{a}{\cosh\left(x\right) + \sinh\left(x\right)}}}{\sqrt{a}}\right) - 2 \, \sqrt{\frac{1}{2}} {\left({\left(3 \, A + 5 \, B\right)} \cosh\left(x\right)^{4} + {\left(3 \, A + 5 \, B\right)} \sinh\left(x\right)^{4} + {\left(11 \, A - 3 \, B\right)} \cosh\left(x\right)^{3} + {\left(4 \, {\left(3 \, A + 5 \, B\right)} \cosh\left(x\right) + 11 \, A - 3 \, B\right)} \sinh\left(x\right)^{3} - {\left(11 \, A - 3 \, B\right)} \cosh\left(x\right)^{2} + {\left(6 \, {\left(3 \, A + 5 \, B\right)} \cosh\left(x\right)^{2} + 3 \, {\left(11 \, A - 3 \, B\right)} \cosh\left(x\right) - 11 \, A + 3 \, B\right)} \sinh\left(x\right)^{2} - {\left(3 \, A + 5 \, B\right)} \cosh\left(x\right) + {\left(4 \, {\left(3 \, A + 5 \, B\right)} \cosh\left(x\right)^{3} + 3 \, {\left(11 \, A - 3 \, B\right)} \cosh\left(x\right)^{2} - 2 \, {\left(11 \, A - 3 \, B\right)} \cosh\left(x\right) - 3 \, A - 5 \, B\right)} \sinh\left(x\right)\right)} \sqrt{\frac{a}{\cosh\left(x\right) + \sinh\left(x\right)}}}{16 \, {\left(a^{3} \cosh\left(x\right)^{4} + a^{3} \sinh\left(x\right)^{4} + 4 \, a^{3} \cosh\left(x\right)^{3} + 6 \, a^{3} \cosh\left(x\right)^{2} + 4 \, a^{3} \cosh\left(x\right) + 4 \, {\left(a^{3} \cosh\left(x\right) + a^{3}\right)} \sinh\left(x\right)^{3} + a^{3} + 6 \, {\left(a^{3} \cosh\left(x\right)^{2} + 2 \, a^{3} \cosh\left(x\right) + a^{3}\right)} \sinh\left(x\right)^{2} + 4 \, {\left(a^{3} \cosh\left(x\right)^{3} + 3 \, a^{3} \cosh\left(x\right)^{2} + 3 \, a^{3} \cosh\left(x\right) + a^{3}\right)} \sinh\left(x\right)\right)}}"," ",0,"-1/16*(sqrt(2)*((3*A + 5*B)*cosh(x)^4 + (3*A + 5*B)*sinh(x)^4 + 4*(3*A + 5*B)*cosh(x)^3 + 4*((3*A + 5*B)*cosh(x) + 3*A + 5*B)*sinh(x)^3 + 6*(3*A + 5*B)*cosh(x)^2 + 6*((3*A + 5*B)*cosh(x)^2 + 2*(3*A + 5*B)*cosh(x) + 3*A + 5*B)*sinh(x)^2 + 4*(3*A + 5*B)*cosh(x) + 4*((3*A + 5*B)*cosh(x)^3 + 3*(3*A + 5*B)*cosh(x)^2 + 3*(3*A + 5*B)*cosh(x) + 3*A + 5*B)*sinh(x) + 3*A + 5*B)*sqrt(a)*arctan(sqrt(2)*sqrt(1/2)*sqrt(a/(cosh(x) + sinh(x)))/sqrt(a)) - 2*sqrt(1/2)*((3*A + 5*B)*cosh(x)^4 + (3*A + 5*B)*sinh(x)^4 + (11*A - 3*B)*cosh(x)^3 + (4*(3*A + 5*B)*cosh(x) + 11*A - 3*B)*sinh(x)^3 - (11*A - 3*B)*cosh(x)^2 + (6*(3*A + 5*B)*cosh(x)^2 + 3*(11*A - 3*B)*cosh(x) - 11*A + 3*B)*sinh(x)^2 - (3*A + 5*B)*cosh(x) + (4*(3*A + 5*B)*cosh(x)^3 + 3*(11*A - 3*B)*cosh(x)^2 - 2*(11*A - 3*B)*cosh(x) - 3*A - 5*B)*sinh(x))*sqrt(a/(cosh(x) + sinh(x))))/(a^3*cosh(x)^4 + a^3*sinh(x)^4 + 4*a^3*cosh(x)^3 + 6*a^3*cosh(x)^2 + 4*a^3*cosh(x) + 4*(a^3*cosh(x) + a^3)*sinh(x)^3 + a^3 + 6*(a^3*cosh(x)^2 + 2*a^3*cosh(x) + a^3)*sinh(x)^2 + 4*(a^3*cosh(x)^3 + 3*a^3*cosh(x)^2 + 3*a^3*cosh(x) + a^3)*sinh(x))","B",0
104,1,99,0,0.863426," ","integrate((A+B*cosh(x))/(a-a*cosh(x))^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{2} {\left(A + B\right)} a \sqrt{-\frac{1}{a}} \log\left(\frac{2 \, \sqrt{2} \sqrt{\frac{1}{2}} \sqrt{-\frac{a}{\cosh\left(x\right) + \sinh\left(x\right)}} \sqrt{-\frac{1}{a}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} - \cosh\left(x\right) - \sinh\left(x\right) - 1}{\cosh\left(x\right) + \sinh\left(x\right) - 1}\right) - 2 \, \sqrt{\frac{1}{2}} {\left(B \cosh\left(x\right) + B \sinh\left(x\right) + B\right)} \sqrt{-\frac{a}{\cosh\left(x\right) + \sinh\left(x\right)}}}{a}"," ",0,"(sqrt(2)*(A + B)*a*sqrt(-1/a)*log((2*sqrt(2)*sqrt(1/2)*sqrt(-a/(cosh(x) + sinh(x)))*sqrt(-1/a)*(cosh(x) + sinh(x)) - cosh(x) - sinh(x) - 1)/(cosh(x) + sinh(x) - 1)) - 2*sqrt(1/2)*(B*cosh(x) + B*sinh(x) + B)*sqrt(-a/(cosh(x) + sinh(x))))/a","B",0
105,1,217,0,0.900203," ","integrate((A+B*cosh(x))/(a-a*cosh(x))^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{2} {\left({\left(A - 3 \, B\right)} \cosh\left(x\right)^{2} + {\left(A - 3 \, B\right)} \sinh\left(x\right)^{2} - 2 \, {\left(A - 3 \, B\right)} \cosh\left(x\right) + 2 \, {\left({\left(A - 3 \, B\right)} \cosh\left(x\right) - A + 3 \, B\right)} \sinh\left(x\right) + A - 3 \, B\right)} \sqrt{-a} \log\left(\frac{2 \, \sqrt{2} \sqrt{\frac{1}{2}} \sqrt{-a} \sqrt{-\frac{a}{\cosh\left(x\right) + \sinh\left(x\right)}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} - a \cosh\left(x\right) - a \sinh\left(x\right) - a}{\cosh\left(x\right) + \sinh\left(x\right) - 1}\right) - 4 \, \sqrt{\frac{1}{2}} {\left({\left(A + B\right)} \cosh\left(x\right)^{2} + {\left(A + B\right)} \sinh\left(x\right)^{2} + {\left(A + B\right)} \cosh\left(x\right) + {\left(2 \, {\left(A + B\right)} \cosh\left(x\right) + A + B\right)} \sinh\left(x\right)\right)} \sqrt{-\frac{a}{\cosh\left(x\right) + \sinh\left(x\right)}}}{4 \, {\left(a^{2} \cosh\left(x\right)^{2} + a^{2} \sinh\left(x\right)^{2} - 2 \, a^{2} \cosh\left(x\right) + a^{2} + 2 \, {\left(a^{2} \cosh\left(x\right) - a^{2}\right)} \sinh\left(x\right)\right)}}"," ",0,"1/4*(sqrt(2)*((A - 3*B)*cosh(x)^2 + (A - 3*B)*sinh(x)^2 - 2*(A - 3*B)*cosh(x) + 2*((A - 3*B)*cosh(x) - A + 3*B)*sinh(x) + A - 3*B)*sqrt(-a)*log((2*sqrt(2)*sqrt(1/2)*sqrt(-a)*sqrt(-a/(cosh(x) + sinh(x)))*(cosh(x) + sinh(x)) - a*cosh(x) - a*sinh(x) - a)/(cosh(x) + sinh(x) - 1)) - 4*sqrt(1/2)*((A + B)*cosh(x)^2 + (A + B)*sinh(x)^2 + (A + B)*cosh(x) + (2*(A + B)*cosh(x) + A + B)*sinh(x))*sqrt(-a/(cosh(x) + sinh(x))))/(a^2*cosh(x)^2 + a^2*sinh(x)^2 - 2*a^2*cosh(x) + a^2 + 2*(a^2*cosh(x) - a^2)*sinh(x))","B",0
106,1,548,0,1.124014," ","integrate((A+B*cosh(x))/(a-a*cosh(x))^(5/2),x, algorithm=""fricas"")","\frac{\sqrt{2} {\left({\left(3 \, A - 5 \, B\right)} \cosh\left(x\right)^{4} + {\left(3 \, A - 5 \, B\right)} \sinh\left(x\right)^{4} - 4 \, {\left(3 \, A - 5 \, B\right)} \cosh\left(x\right)^{3} + 4 \, {\left({\left(3 \, A - 5 \, B\right)} \cosh\left(x\right) - 3 \, A + 5 \, B\right)} \sinh\left(x\right)^{3} + 6 \, {\left(3 \, A - 5 \, B\right)} \cosh\left(x\right)^{2} + 6 \, {\left({\left(3 \, A - 5 \, B\right)} \cosh\left(x\right)^{2} - 2 \, {\left(3 \, A - 5 \, B\right)} \cosh\left(x\right) + 3 \, A - 5 \, B\right)} \sinh\left(x\right)^{2} - 4 \, {\left(3 \, A - 5 \, B\right)} \cosh\left(x\right) + 4 \, {\left({\left(3 \, A - 5 \, B\right)} \cosh\left(x\right)^{3} - 3 \, {\left(3 \, A - 5 \, B\right)} \cosh\left(x\right)^{2} + 3 \, {\left(3 \, A - 5 \, B\right)} \cosh\left(x\right) - 3 \, A + 5 \, B\right)} \sinh\left(x\right) + 3 \, A - 5 \, B\right)} \sqrt{-a} \log\left(\frac{2 \, \sqrt{2} \sqrt{\frac{1}{2}} \sqrt{-a} \sqrt{-\frac{a}{\cosh\left(x\right) + \sinh\left(x\right)}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} - a \cosh\left(x\right) - a \sinh\left(x\right) - a}{\cosh\left(x\right) + \sinh\left(x\right) - 1}\right) - 4 \, \sqrt{\frac{1}{2}} {\left({\left(3 \, A - 5 \, B\right)} \cosh\left(x\right)^{4} + {\left(3 \, A - 5 \, B\right)} \sinh\left(x\right)^{4} - {\left(11 \, A + 3 \, B\right)} \cosh\left(x\right)^{3} + {\left(4 \, {\left(3 \, A - 5 \, B\right)} \cosh\left(x\right) - 11 \, A - 3 \, B\right)} \sinh\left(x\right)^{3} - {\left(11 \, A + 3 \, B\right)} \cosh\left(x\right)^{2} + {\left(6 \, {\left(3 \, A - 5 \, B\right)} \cosh\left(x\right)^{2} - 3 \, {\left(11 \, A + 3 \, B\right)} \cosh\left(x\right) - 11 \, A - 3 \, B\right)} \sinh\left(x\right)^{2} + {\left(3 \, A - 5 \, B\right)} \cosh\left(x\right) + {\left(4 \, {\left(3 \, A - 5 \, B\right)} \cosh\left(x\right)^{3} - 3 \, {\left(11 \, A + 3 \, B\right)} \cosh\left(x\right)^{2} - 2 \, {\left(11 \, A + 3 \, B\right)} \cosh\left(x\right) + 3 \, A - 5 \, B\right)} \sinh\left(x\right)\right)} \sqrt{-\frac{a}{\cosh\left(x\right) + \sinh\left(x\right)}}}{32 \, {\left(a^{3} \cosh\left(x\right)^{4} + a^{3} \sinh\left(x\right)^{4} - 4 \, a^{3} \cosh\left(x\right)^{3} + 6 \, a^{3} \cosh\left(x\right)^{2} - 4 \, a^{3} \cosh\left(x\right) + 4 \, {\left(a^{3} \cosh\left(x\right) - a^{3}\right)} \sinh\left(x\right)^{3} + a^{3} + 6 \, {\left(a^{3} \cosh\left(x\right)^{2} - 2 \, a^{3} \cosh\left(x\right) + a^{3}\right)} \sinh\left(x\right)^{2} + 4 \, {\left(a^{3} \cosh\left(x\right)^{3} - 3 \, a^{3} \cosh\left(x\right)^{2} + 3 \, a^{3} \cosh\left(x\right) - a^{3}\right)} \sinh\left(x\right)\right)}}"," ",0,"1/32*(sqrt(2)*((3*A - 5*B)*cosh(x)^4 + (3*A - 5*B)*sinh(x)^4 - 4*(3*A - 5*B)*cosh(x)^3 + 4*((3*A - 5*B)*cosh(x) - 3*A + 5*B)*sinh(x)^3 + 6*(3*A - 5*B)*cosh(x)^2 + 6*((3*A - 5*B)*cosh(x)^2 - 2*(3*A - 5*B)*cosh(x) + 3*A - 5*B)*sinh(x)^2 - 4*(3*A - 5*B)*cosh(x) + 4*((3*A - 5*B)*cosh(x)^3 - 3*(3*A - 5*B)*cosh(x)^2 + 3*(3*A - 5*B)*cosh(x) - 3*A + 5*B)*sinh(x) + 3*A - 5*B)*sqrt(-a)*log((2*sqrt(2)*sqrt(1/2)*sqrt(-a)*sqrt(-a/(cosh(x) + sinh(x)))*(cosh(x) + sinh(x)) - a*cosh(x) - a*sinh(x) - a)/(cosh(x) + sinh(x) - 1)) - 4*sqrt(1/2)*((3*A - 5*B)*cosh(x)^4 + (3*A - 5*B)*sinh(x)^4 - (11*A + 3*B)*cosh(x)^3 + (4*(3*A - 5*B)*cosh(x) - 11*A - 3*B)*sinh(x)^3 - (11*A + 3*B)*cosh(x)^2 + (6*(3*A - 5*B)*cosh(x)^2 - 3*(11*A + 3*B)*cosh(x) - 11*A - 3*B)*sinh(x)^2 + (3*A - 5*B)*cosh(x) + (4*(3*A - 5*B)*cosh(x)^3 - 3*(11*A + 3*B)*cosh(x)^2 - 2*(11*A + 3*B)*cosh(x) + 3*A - 5*B)*sinh(x))*sqrt(-a/(cosh(x) + sinh(x))))/(a^3*cosh(x)^4 + a^3*sinh(x)^4 - 4*a^3*cosh(x)^3 + 6*a^3*cosh(x)^2 - 4*a^3*cosh(x) + 4*(a^3*cosh(x) - a^3)*sinh(x)^3 + a^3 + 6*(a^3*cosh(x)^2 - 2*a^3*cosh(x) + a^3)*sinh(x)^2 + 4*(a^3*cosh(x)^3 - 3*a^3*cosh(x)^2 + 3*a^3*cosh(x) - a^3)*sinh(x))","B",0
107,0,0,0,0.778305," ","integrate((a+b*cosh(x))^(5/2)*(A+B*cosh(x)),x, algorithm=""fricas"")","{\rm integral}\left({\left(B b^{2} \cosh\left(x\right)^{3} + A a^{2} + {\left(2 \, B a b + A b^{2}\right)} \cosh\left(x\right)^{2} + {\left(B a^{2} + 2 \, A a b\right)} \cosh\left(x\right)\right)} \sqrt{b \cosh\left(x\right) + a}, x\right)"," ",0,"integral((B*b^2*cosh(x)^3 + A*a^2 + (2*B*a*b + A*b^2)*cosh(x)^2 + (B*a^2 + 2*A*a*b)*cosh(x))*sqrt(b*cosh(x) + a), x)","F",0
108,0,0,0,0.606040," ","integrate((a+b*cosh(x))^(3/2)*(A+B*cosh(x)),x, algorithm=""fricas"")","{\rm integral}\left({\left(B b \cosh\left(x\right)^{2} + A a + {\left(B a + A b\right)} \cosh\left(x\right)\right)} \sqrt{b \cosh\left(x\right) + a}, x\right)"," ",0,"integral((B*b*cosh(x)^2 + A*a + (B*a + A*b)*cosh(x))*sqrt(b*cosh(x) + a), x)","F",0
109,0,0,0,1.430285," ","integrate((a+b*cosh(x))^(1/2)*(A+B*cosh(x)),x, algorithm=""fricas"")","{\rm integral}\left({\left(B \cosh\left(x\right) + A\right)} \sqrt{b \cosh\left(x\right) + a}, x\right)"," ",0,"integral((B*cosh(x) + A)*sqrt(b*cosh(x) + a), x)","F",0
110,1,240,0,0.771232," ","integrate((A+B*cosh(x))/(a+b*cosh(x)),x, algorithm=""fricas"")","\left[-\frac{{\left(B a - A b\right)} \sqrt{a^{2} - b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b}\right) - {\left(B a^{2} - B b^{2}\right)} x}{a^{2} b - b^{3}}, \frac{2 \, {\left(B a - A b\right)} \sqrt{-a^{2} + b^{2}} \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{a^{2} - b^{2}}\right) + {\left(B a^{2} - B b^{2}\right)} x}{a^{2} b - b^{3}}\right]"," ",0,"[-((B*a - A*b)*sqrt(a^2 - b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 - b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 - b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) + b)) - (B*a^2 - B*b^2)*x)/(a^2*b - b^3), (2*(B*a - A*b)*sqrt(-a^2 + b^2)*arctan(-sqrt(-a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a)/(a^2 - b^2)) + (B*a^2 - B*b^2)*x)/(a^2*b - b^3)]","A",0
111,1,828,0,1.379954," ","integrate((A+B*cosh(x))/(a+b*cosh(x))^2,x, algorithm=""fricas"")","\left[-\frac{2 \, B a^{3} b - 2 \, A a^{2} b^{2} - 2 \, B a b^{3} + 2 \, A b^{4} - {\left(A a b^{2} - B b^{3} + {\left(A a b^{2} - B b^{3}\right)} \cosh\left(x\right)^{2} + {\left(A a b^{2} - B b^{3}\right)} \sinh\left(x\right)^{2} + 2 \, {\left(A a^{2} b - B a b^{2}\right)} \cosh\left(x\right) + 2 \, {\left(A a^{2} b - B a b^{2} + {\left(A a b^{2} - B b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} - b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b}\right) + 2 \, {\left(B a^{4} - A a^{3} b - B a^{2} b^{2} + A a b^{3}\right)} \cosh\left(x\right) + 2 \, {\left(B a^{4} - A a^{3} b - B a^{2} b^{2} + A a b^{3}\right)} \sinh\left(x\right)}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{2} + {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} \sinh\left(x\right)^{2} + 2 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} \cosh\left(x\right) + 2 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5} + {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}, -\frac{2 \, {\left(B a^{3} b - A a^{2} b^{2} - B a b^{3} + A b^{4} + {\left(A a b^{2} - B b^{3} + {\left(A a b^{2} - B b^{3}\right)} \cosh\left(x\right)^{2} + {\left(A a b^{2} - B b^{3}\right)} \sinh\left(x\right)^{2} + 2 \, {\left(A a^{2} b - B a b^{2}\right)} \cosh\left(x\right) + 2 \, {\left(A a^{2} b - B a b^{2} + {\left(A a b^{2} - B b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{-a^{2} + b^{2}} \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{a^{2} - b^{2}}\right) + {\left(B a^{4} - A a^{3} b - B a^{2} b^{2} + A a b^{3}\right)} \cosh\left(x\right) + {\left(B a^{4} - A a^{3} b - B a^{2} b^{2} + A a b^{3}\right)} \sinh\left(x\right)\right)}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{2} + {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} \sinh\left(x\right)^{2} + 2 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} \cosh\left(x\right) + 2 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5} + {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}\right]"," ",0,"[-(2*B*a^3*b - 2*A*a^2*b^2 - 2*B*a*b^3 + 2*A*b^4 - (A*a*b^2 - B*b^3 + (A*a*b^2 - B*b^3)*cosh(x)^2 + (A*a*b^2 - B*b^3)*sinh(x)^2 + 2*(A*a^2*b - B*a*b^2)*cosh(x) + 2*(A*a^2*b - B*a*b^2 + (A*a*b^2 - B*b^3)*cosh(x))*sinh(x))*sqrt(a^2 - b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 - b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 - b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) + b)) + 2*(B*a^4 - A*a^3*b - B*a^2*b^2 + A*a*b^3)*cosh(x) + 2*(B*a^4 - A*a^3*b - B*a^2*b^2 + A*a*b^3)*sinh(x))/(a^4*b^2 - 2*a^2*b^4 + b^6 + (a^4*b^2 - 2*a^2*b^4 + b^6)*cosh(x)^2 + (a^4*b^2 - 2*a^2*b^4 + b^6)*sinh(x)^2 + 2*(a^5*b - 2*a^3*b^3 + a*b^5)*cosh(x) + 2*(a^5*b - 2*a^3*b^3 + a*b^5 + (a^4*b^2 - 2*a^2*b^4 + b^6)*cosh(x))*sinh(x)), -2*(B*a^3*b - A*a^2*b^2 - B*a*b^3 + A*b^4 + (A*a*b^2 - B*b^3 + (A*a*b^2 - B*b^3)*cosh(x)^2 + (A*a*b^2 - B*b^3)*sinh(x)^2 + 2*(A*a^2*b - B*a*b^2)*cosh(x) + 2*(A*a^2*b - B*a*b^2 + (A*a*b^2 - B*b^3)*cosh(x))*sinh(x))*sqrt(-a^2 + b^2)*arctan(-sqrt(-a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a)/(a^2 - b^2)) + (B*a^4 - A*a^3*b - B*a^2*b^2 + A*a*b^3)*cosh(x) + (B*a^4 - A*a^3*b - B*a^2*b^2 + A*a*b^3)*sinh(x))/(a^4*b^2 - 2*a^2*b^4 + b^6 + (a^4*b^2 - 2*a^2*b^4 + b^6)*cosh(x)^2 + (a^4*b^2 - 2*a^2*b^4 + b^6)*sinh(x)^2 + 2*(a^5*b - 2*a^3*b^3 + a*b^5)*cosh(x) + 2*(a^5*b - 2*a^3*b^3 + a*b^5 + (a^4*b^2 - 2*a^2*b^4 + b^6)*cosh(x))*sinh(x))]","B",0
112,1,3166,0,0.818722," ","integrate((A+B*cosh(x))/(a+b*cosh(x))^3,x, algorithm=""fricas"")","\left[-\frac{2 \, B a^{4} b^{2} - 6 \, A a^{3} b^{3} + 2 \, B a^{2} b^{4} + 6 \, A a b^{5} - 4 \, B b^{6} - 2 \, {\left(2 \, A a^{4} b^{2} - 3 \, B a^{3} b^{3} - A a^{2} b^{4} + 3 \, B a b^{5} - A b^{6}\right)} \cosh\left(x\right)^{3} - 2 \, {\left(2 \, A a^{4} b^{2} - 3 \, B a^{3} b^{3} - A a^{2} b^{4} + 3 \, B a b^{5} - A b^{6}\right)} \sinh\left(x\right)^{3} + 2 \, {\left(2 \, B a^{6} - 6 \, A a^{5} b + 3 \, B a^{4} b^{2} + 3 \, A a^{3} b^{3} - 3 \, B a^{2} b^{4} + 3 \, A a b^{5} - 2 \, B b^{6}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(2 \, B a^{6} - 6 \, A a^{5} b + 3 \, B a^{4} b^{2} + 3 \, A a^{3} b^{3} - 3 \, B a^{2} b^{4} + 3 \, A a b^{5} - 2 \, B b^{6} - 3 \, {\left(2 \, A a^{4} b^{2} - 3 \, B a^{3} b^{3} - A a^{2} b^{4} + 3 \, B a b^{5} - A b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5} + {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5}\right)} \cosh\left(x\right)^{4} + {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4} + {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(4 \, A a^{4} b - 6 \, B a^{3} b^{2} + 4 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(4 \, A a^{4} b - 6 \, B a^{3} b^{2} + 4 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5} + 3 \, {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 4 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4}\right)} \cosh\left(x\right) + 4 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4} + {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4}\right)} \cosh\left(x\right)^{2} + {\left(4 \, A a^{4} b - 6 \, B a^{3} b^{2} + 4 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} - b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b}\right) + 2 \, {\left(4 \, B a^{5} b - 10 \, A a^{4} b^{2} + B a^{3} b^{3} + 11 \, A a^{2} b^{4} - 5 \, B a b^{5} - A b^{6}\right)} \cosh\left(x\right) + 2 \, {\left(4 \, B a^{5} b - 10 \, A a^{4} b^{2} + B a^{3} b^{3} + 11 \, A a^{2} b^{4} - 5 \, B a b^{5} - A b^{6} - 3 \, {\left(2 \, A a^{4} b^{2} - 3 \, B a^{3} b^{3} - A a^{2} b^{4} + 3 \, B a b^{5} - A b^{6}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(2 \, B a^{6} - 6 \, A a^{5} b + 3 \, B a^{4} b^{2} + 3 \, A a^{3} b^{3} - 3 \, B a^{2} b^{4} + 3 \, A a b^{5} - 2 \, B b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{2 \, {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9}\right)} \cosh\left(x\right)^{4} + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(2 \, a^{8} b - 5 \, a^{6} b^{3} + 3 \, a^{4} b^{5} + a^{2} b^{7} - b^{9}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(2 \, a^{8} b - 5 \, a^{6} b^{3} + 3 \, a^{4} b^{5} + a^{2} b^{7} - b^{9} + 3 \, {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 4 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8}\right)} \cosh\left(x\right) + 4 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8}\right)} \cosh\left(x\right)^{2} + {\left(2 \, a^{8} b - 5 \, a^{6} b^{3} + 3 \, a^{4} b^{5} + a^{2} b^{7} - b^{9}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}, -\frac{B a^{4} b^{2} - 3 \, A a^{3} b^{3} + B a^{2} b^{4} + 3 \, A a b^{5} - 2 \, B b^{6} - {\left(2 \, A a^{4} b^{2} - 3 \, B a^{3} b^{3} - A a^{2} b^{4} + 3 \, B a b^{5} - A b^{6}\right)} \cosh\left(x\right)^{3} - {\left(2 \, A a^{4} b^{2} - 3 \, B a^{3} b^{3} - A a^{2} b^{4} + 3 \, B a b^{5} - A b^{6}\right)} \sinh\left(x\right)^{3} + {\left(2 \, B a^{6} - 6 \, A a^{5} b + 3 \, B a^{4} b^{2} + 3 \, A a^{3} b^{3} - 3 \, B a^{2} b^{4} + 3 \, A a b^{5} - 2 \, B b^{6}\right)} \cosh\left(x\right)^{2} + {\left(2 \, B a^{6} - 6 \, A a^{5} b + 3 \, B a^{4} b^{2} + 3 \, A a^{3} b^{3} - 3 \, B a^{2} b^{4} + 3 \, A a b^{5} - 2 \, B b^{6} - 3 \, {\left(2 \, A a^{4} b^{2} - 3 \, B a^{3} b^{3} - A a^{2} b^{4} + 3 \, B a b^{5} - A b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5} + {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5}\right)} \cosh\left(x\right)^{4} + {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4} + {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(4 \, A a^{4} b - 6 \, B a^{3} b^{2} + 4 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(4 \, A a^{4} b - 6 \, B a^{3} b^{2} + 4 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5} + 3 \, {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 4 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4}\right)} \cosh\left(x\right) + 4 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4} + {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4}\right)} \cosh\left(x\right)^{2} + {\left(4 \, A a^{4} b - 6 \, B a^{3} b^{2} + 4 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{-a^{2} + b^{2}} \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{a^{2} - b^{2}}\right) + {\left(4 \, B a^{5} b - 10 \, A a^{4} b^{2} + B a^{3} b^{3} + 11 \, A a^{2} b^{4} - 5 \, B a b^{5} - A b^{6}\right)} \cosh\left(x\right) + {\left(4 \, B a^{5} b - 10 \, A a^{4} b^{2} + B a^{3} b^{3} + 11 \, A a^{2} b^{4} - 5 \, B a b^{5} - A b^{6} - 3 \, {\left(2 \, A a^{4} b^{2} - 3 \, B a^{3} b^{3} - A a^{2} b^{4} + 3 \, B a b^{5} - A b^{6}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(2 \, B a^{6} - 6 \, A a^{5} b + 3 \, B a^{4} b^{2} + 3 \, A a^{3} b^{3} - 3 \, B a^{2} b^{4} + 3 \, A a b^{5} - 2 \, B b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9}\right)} \cosh\left(x\right)^{4} + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(2 \, a^{8} b - 5 \, a^{6} b^{3} + 3 \, a^{4} b^{5} + a^{2} b^{7} - b^{9}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(2 \, a^{8} b - 5 \, a^{6} b^{3} + 3 \, a^{4} b^{5} + a^{2} b^{7} - b^{9} + 3 \, {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 4 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8}\right)} \cosh\left(x\right) + 4 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8}\right)} \cosh\left(x\right)^{2} + {\left(2 \, a^{8} b - 5 \, a^{6} b^{3} + 3 \, a^{4} b^{5} + a^{2} b^{7} - b^{9}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}\right]"," ",0,"[-1/2*(2*B*a^4*b^2 - 6*A*a^3*b^3 + 2*B*a^2*b^4 + 6*A*a*b^5 - 4*B*b^6 - 2*(2*A*a^4*b^2 - 3*B*a^3*b^3 - A*a^2*b^4 + 3*B*a*b^5 - A*b^6)*cosh(x)^3 - 2*(2*A*a^4*b^2 - 3*B*a^3*b^3 - A*a^2*b^4 + 3*B*a*b^5 - A*b^6)*sinh(x)^3 + 2*(2*B*a^6 - 6*A*a^5*b + 3*B*a^4*b^2 + 3*A*a^3*b^3 - 3*B*a^2*b^4 + 3*A*a*b^5 - 2*B*b^6)*cosh(x)^2 + 2*(2*B*a^6 - 6*A*a^5*b + 3*B*a^4*b^2 + 3*A*a^3*b^3 - 3*B*a^2*b^4 + 3*A*a*b^5 - 2*B*b^6 - 3*(2*A*a^4*b^2 - 3*B*a^3*b^3 - A*a^2*b^4 + 3*B*a*b^5 - A*b^6)*cosh(x))*sinh(x)^2 - (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5 + (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5)*cosh(x)^4 + (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5)*sinh(x)^4 + 4*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4)*cosh(x)^3 + 4*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4 + (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5)*cosh(x))*sinh(x)^3 + 2*(4*A*a^4*b - 6*B*a^3*b^2 + 4*A*a^2*b^3 - 3*B*a*b^4 + A*b^5)*cosh(x)^2 + 2*(4*A*a^4*b - 6*B*a^3*b^2 + 4*A*a^2*b^3 - 3*B*a*b^4 + A*b^5 + 3*(2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5)*cosh(x)^2 + 6*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4)*cosh(x))*sinh(x)^2 + 4*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4)*cosh(x) + 4*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4 + (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5)*cosh(x)^3 + 3*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4)*cosh(x)^2 + (4*A*a^4*b - 6*B*a^3*b^2 + 4*A*a^2*b^3 - 3*B*a*b^4 + A*b^5)*cosh(x))*sinh(x))*sqrt(a^2 - b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 - b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 - b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) + b)) + 2*(4*B*a^5*b - 10*A*a^4*b^2 + B*a^3*b^3 + 11*A*a^2*b^4 - 5*B*a*b^5 - A*b^6)*cosh(x) + 2*(4*B*a^5*b - 10*A*a^4*b^2 + B*a^3*b^3 + 11*A*a^2*b^4 - 5*B*a*b^5 - A*b^6 - 3*(2*A*a^4*b^2 - 3*B*a^3*b^3 - A*a^2*b^4 + 3*B*a*b^5 - A*b^6)*cosh(x)^2 + 2*(2*B*a^6 - 6*A*a^5*b + 3*B*a^4*b^2 + 3*A*a^3*b^3 - 3*B*a^2*b^4 + 3*A*a*b^5 - 2*B*b^6)*cosh(x))*sinh(x))/(a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9)*cosh(x)^4 + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9)*sinh(x)^4 + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8)*cosh(x)^3 + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9)*cosh(x))*sinh(x)^3 + 2*(2*a^8*b - 5*a^6*b^3 + 3*a^4*b^5 + a^2*b^7 - b^9)*cosh(x)^2 + 2*(2*a^8*b - 5*a^6*b^3 + 3*a^4*b^5 + a^2*b^7 - b^9 + 3*(a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9)*cosh(x)^2 + 6*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8)*cosh(x))*sinh(x)^2 + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8)*cosh(x) + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9)*cosh(x)^3 + 3*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8)*cosh(x)^2 + (2*a^8*b - 5*a^6*b^3 + 3*a^4*b^5 + a^2*b^7 - b^9)*cosh(x))*sinh(x)), -(B*a^4*b^2 - 3*A*a^3*b^3 + B*a^2*b^4 + 3*A*a*b^5 - 2*B*b^6 - (2*A*a^4*b^2 - 3*B*a^3*b^3 - A*a^2*b^4 + 3*B*a*b^5 - A*b^6)*cosh(x)^3 - (2*A*a^4*b^2 - 3*B*a^3*b^3 - A*a^2*b^4 + 3*B*a*b^5 - A*b^6)*sinh(x)^3 + (2*B*a^6 - 6*A*a^5*b + 3*B*a^4*b^2 + 3*A*a^3*b^3 - 3*B*a^2*b^4 + 3*A*a*b^5 - 2*B*b^6)*cosh(x)^2 + (2*B*a^6 - 6*A*a^5*b + 3*B*a^4*b^2 + 3*A*a^3*b^3 - 3*B*a^2*b^4 + 3*A*a*b^5 - 2*B*b^6 - 3*(2*A*a^4*b^2 - 3*B*a^3*b^3 - A*a^2*b^4 + 3*B*a*b^5 - A*b^6)*cosh(x))*sinh(x)^2 + (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5 + (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5)*cosh(x)^4 + (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5)*sinh(x)^4 + 4*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4)*cosh(x)^3 + 4*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4 + (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5)*cosh(x))*sinh(x)^3 + 2*(4*A*a^4*b - 6*B*a^3*b^2 + 4*A*a^2*b^3 - 3*B*a*b^4 + A*b^5)*cosh(x)^2 + 2*(4*A*a^4*b - 6*B*a^3*b^2 + 4*A*a^2*b^3 - 3*B*a*b^4 + A*b^5 + 3*(2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5)*cosh(x)^2 + 6*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4)*cosh(x))*sinh(x)^2 + 4*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4)*cosh(x) + 4*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4 + (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5)*cosh(x)^3 + 3*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4)*cosh(x)^2 + (4*A*a^4*b - 6*B*a^3*b^2 + 4*A*a^2*b^3 - 3*B*a*b^4 + A*b^5)*cosh(x))*sinh(x))*sqrt(-a^2 + b^2)*arctan(-sqrt(-a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a)/(a^2 - b^2)) + (4*B*a^5*b - 10*A*a^4*b^2 + B*a^3*b^3 + 11*A*a^2*b^4 - 5*B*a*b^5 - A*b^6)*cosh(x) + (4*B*a^5*b - 10*A*a^4*b^2 + B*a^3*b^3 + 11*A*a^2*b^4 - 5*B*a*b^5 - A*b^6 - 3*(2*A*a^4*b^2 - 3*B*a^3*b^3 - A*a^2*b^4 + 3*B*a*b^5 - A*b^6)*cosh(x)^2 + 2*(2*B*a^6 - 6*A*a^5*b + 3*B*a^4*b^2 + 3*A*a^3*b^3 - 3*B*a^2*b^4 + 3*A*a*b^5 - 2*B*b^6)*cosh(x))*sinh(x))/(a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9)*cosh(x)^4 + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9)*sinh(x)^4 + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8)*cosh(x)^3 + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9)*cosh(x))*sinh(x)^3 + 2*(2*a^8*b - 5*a^6*b^3 + 3*a^4*b^5 + a^2*b^7 - b^9)*cosh(x)^2 + 2*(2*a^8*b - 5*a^6*b^3 + 3*a^4*b^5 + a^2*b^7 - b^9 + 3*(a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9)*cosh(x)^2 + 6*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8)*cosh(x))*sinh(x)^2 + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8)*cosh(x) + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9)*cosh(x)^3 + 3*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8)*cosh(x)^2 + (2*a^8*b - 5*a^6*b^3 + 3*a^4*b^5 + a^2*b^7 - b^9)*cosh(x))*sinh(x))]","B",0
113,1,7603,0,1.988532," ","integrate((A+B*cosh(x))/(a+b*cosh(x))^4,x, algorithm=""fricas"")","\left[-\frac{4 \, B a^{5} b^{3} - 22 \, A a^{4} b^{4} + 22 \, B a^{3} b^{5} + 14 \, A a^{2} b^{6} - 26 \, B a b^{7} + 8 \, A b^{8} - 6 \, {\left(2 \, A a^{5} b^{3} - 4 \, B a^{4} b^{4} + A a^{3} b^{5} + 3 \, B a^{2} b^{6} - 3 \, A a b^{7} + B b^{8}\right)} \cosh\left(x\right)^{5} - 6 \, {\left(2 \, A a^{5} b^{3} - 4 \, B a^{4} b^{4} + A a^{3} b^{5} + 3 \, B a^{2} b^{6} - 3 \, A a b^{7} + B b^{8}\right)} \sinh\left(x\right)^{5} - 30 \, {\left(2 \, A a^{6} b^{2} - 4 \, B a^{5} b^{3} + A a^{4} b^{4} + 3 \, B a^{3} b^{5} - 3 \, A a^{2} b^{6} + B a b^{7}\right)} \cosh\left(x\right)^{4} - 30 \, {\left(2 \, A a^{6} b^{2} - 4 \, B a^{5} b^{3} + A a^{4} b^{4} + 3 \, B a^{3} b^{5} - 3 \, A a^{2} b^{6} + B a b^{7} + {\left(2 \, A a^{5} b^{3} - 4 \, B a^{4} b^{4} + A a^{3} b^{5} + 3 \, B a^{2} b^{6} - 3 \, A a b^{7} + B b^{8}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 4 \, {\left(4 \, B a^{8} - 22 \, A a^{7} b + 28 \, B a^{6} b^{2} - 19 \, A a^{5} b^{3} + 7 \, B a^{4} b^{4} + 29 \, A a^{3} b^{5} - 39 \, B a^{2} b^{6} + 12 \, A a b^{7}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(4 \, B a^{8} - 22 \, A a^{7} b + 28 \, B a^{6} b^{2} - 19 \, A a^{5} b^{3} + 7 \, B a^{4} b^{4} + 29 \, A a^{3} b^{5} - 39 \, B a^{2} b^{6} + 12 \, A a b^{7} - 15 \, {\left(2 \, A a^{5} b^{3} - 4 \, B a^{4} b^{4} + A a^{3} b^{5} + 3 \, B a^{2} b^{6} - 3 \, A a b^{7} + B b^{8}\right)} \cosh\left(x\right)^{2} - 30 \, {\left(2 \, A a^{6} b^{2} - 4 \, B a^{5} b^{3} + A a^{4} b^{4} + 3 \, B a^{3} b^{5} - 3 \, A a^{2} b^{6} + B a b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 12 \, {\left(4 \, B a^{7} b - 17 \, A a^{6} b^{2} + 13 \, B a^{5} b^{3} + 11 \, A a^{4} b^{4} - 13 \, B a^{3} b^{5} + 4 \, A a^{2} b^{6} - 4 \, B a b^{7} + 2 \, A b^{8}\right)} \cosh\left(x\right)^{2} + 12 \, {\left(4 \, B a^{7} b - 17 \, A a^{6} b^{2} + 13 \, B a^{5} b^{3} + 11 \, A a^{4} b^{4} - 13 \, B a^{3} b^{5} + 4 \, A a^{2} b^{6} - 4 \, B a b^{7} + 2 \, A b^{8} - 5 \, {\left(2 \, A a^{5} b^{3} - 4 \, B a^{4} b^{4} + A a^{3} b^{5} + 3 \, B a^{2} b^{6} - 3 \, A a b^{7} + B b^{8}\right)} \cosh\left(x\right)^{3} - 15 \, {\left(2 \, A a^{6} b^{2} - 4 \, B a^{5} b^{3} + A a^{4} b^{4} + 3 \, B a^{3} b^{5} - 3 \, A a^{2} b^{6} + B a b^{7}\right)} \cosh\left(x\right)^{2} + {\left(4 \, B a^{8} - 22 \, A a^{7} b + 28 \, B a^{6} b^{2} - 19 \, A a^{5} b^{3} + 7 \, B a^{4} b^{4} + 29 \, A a^{3} b^{5} - 39 \, B a^{2} b^{6} + 12 \, A a b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 3 \, {\left(2 \, A a^{3} b^{4} - 4 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7} + {\left(2 \, A a^{3} b^{4} - 4 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(x\right)^{6} + {\left(2 \, A a^{3} b^{4} - 4 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \sinh\left(x\right)^{6} + 6 \, {\left(2 \, A a^{4} b^{3} - 4 \, B a^{3} b^{4} + 3 \, A a^{2} b^{5} - B a b^{6}\right)} \cosh\left(x\right)^{5} + 6 \, {\left(2 \, A a^{4} b^{3} - 4 \, B a^{3} b^{4} + 3 \, A a^{2} b^{5} - B a b^{6} + {\left(2 \, A a^{3} b^{4} - 4 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 3 \, {\left(8 \, A a^{5} b^{2} - 16 \, B a^{4} b^{3} + 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(8 \, A a^{5} b^{2} - 16 \, B a^{4} b^{3} + 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7} + 5 \, {\left(2 \, A a^{3} b^{4} - 4 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(x\right)^{2} + 10 \, {\left(2 \, A a^{4} b^{3} - 4 \, B a^{3} b^{4} + 3 \, A a^{2} b^{5} - B a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 4 \, {\left(4 \, A a^{6} b - 8 \, B a^{5} b^{2} + 12 \, A a^{4} b^{3} - 14 \, B a^{3} b^{4} + 9 \, A a^{2} b^{5} - 3 \, B a b^{6}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(4 \, A a^{6} b - 8 \, B a^{5} b^{2} + 12 \, A a^{4} b^{3} - 14 \, B a^{3} b^{4} + 9 \, A a^{2} b^{5} - 3 \, B a b^{6} + 5 \, {\left(2 \, A a^{3} b^{4} - 4 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(x\right)^{3} + 15 \, {\left(2 \, A a^{4} b^{3} - 4 \, B a^{3} b^{4} + 3 \, A a^{2} b^{5} - B a b^{6}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(8 \, A a^{5} b^{2} - 16 \, B a^{4} b^{3} + 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(8 \, A a^{5} b^{2} - 16 \, B a^{4} b^{3} + 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(8 \, A a^{5} b^{2} - 16 \, B a^{4} b^{3} + 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7} + 5 \, {\left(2 \, A a^{3} b^{4} - 4 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(x\right)^{4} + 20 \, {\left(2 \, A a^{4} b^{3} - 4 \, B a^{3} b^{4} + 3 \, A a^{2} b^{5} - B a b^{6}\right)} \cosh\left(x\right)^{3} + 6 \, {\left(8 \, A a^{5} b^{2} - 16 \, B a^{4} b^{3} + 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(4 \, A a^{6} b - 8 \, B a^{5} b^{2} + 12 \, A a^{4} b^{3} - 14 \, B a^{3} b^{4} + 9 \, A a^{2} b^{5} - 3 \, B a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 6 \, {\left(2 \, A a^{4} b^{3} - 4 \, B a^{3} b^{4} + 3 \, A a^{2} b^{5} - B a b^{6}\right)} \cosh\left(x\right) + 6 \, {\left(2 \, A a^{4} b^{3} - 4 \, B a^{3} b^{4} + 3 \, A a^{2} b^{5} - B a b^{6} + {\left(2 \, A a^{3} b^{4} - 4 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(2 \, A a^{4} b^{3} - 4 \, B a^{3} b^{4} + 3 \, A a^{2} b^{5} - B a b^{6}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(8 \, A a^{5} b^{2} - 16 \, B a^{4} b^{3} + 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(4 \, A a^{6} b - 8 \, B a^{5} b^{2} + 12 \, A a^{4} b^{3} - 14 \, B a^{3} b^{4} + 9 \, A a^{2} b^{5} - 3 \, B a b^{6}\right)} \cosh\left(x\right)^{2} + {\left(8 \, A a^{5} b^{2} - 16 \, B a^{4} b^{3} + 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} - b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b}\right) + 6 \, {\left(4 \, B a^{6} b^{2} - 20 \, A a^{5} b^{3} + 18 \, B a^{4} b^{4} + 15 \, A a^{3} b^{5} - 23 \, B a^{2} b^{6} + 5 \, A a b^{7} + B b^{8}\right)} \cosh\left(x\right) + 6 \, {\left(4 \, B a^{6} b^{2} - 20 \, A a^{5} b^{3} + 18 \, B a^{4} b^{4} + 15 \, A a^{3} b^{5} - 23 \, B a^{2} b^{6} + 5 \, A a b^{7} + B b^{8} - 5 \, {\left(2 \, A a^{5} b^{3} - 4 \, B a^{4} b^{4} + A a^{3} b^{5} + 3 \, B a^{2} b^{6} - 3 \, A a b^{7} + B b^{8}\right)} \cosh\left(x\right)^{4} - 20 \, {\left(2 \, A a^{6} b^{2} - 4 \, B a^{5} b^{3} + A a^{4} b^{4} + 3 \, B a^{3} b^{5} - 3 \, A a^{2} b^{6} + B a b^{7}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(4 \, B a^{8} - 22 \, A a^{7} b + 28 \, B a^{6} b^{2} - 19 \, A a^{5} b^{3} + 7 \, B a^{4} b^{4} + 29 \, A a^{3} b^{5} - 39 \, B a^{2} b^{6} + 12 \, A a b^{7}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(4 \, B a^{7} b - 17 \, A a^{6} b^{2} + 13 \, B a^{5} b^{3} + 11 \, A a^{4} b^{4} - 13 \, B a^{3} b^{5} + 4 \, A a^{2} b^{6} - 4 \, B a b^{7} + 2 \, A b^{8}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{6 \, {\left(a^{8} b^{4} - 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} - 4 \, a^{2} b^{10} + b^{12} + {\left(a^{8} b^{4} - 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} - 4 \, a^{2} b^{10} + b^{12}\right)} \cosh\left(x\right)^{6} + {\left(a^{8} b^{4} - 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} - 4 \, a^{2} b^{10} + b^{12}\right)} \sinh\left(x\right)^{6} + 6 \, {\left(a^{9} b^{3} - 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} - 4 \, a^{3} b^{9} + a b^{11}\right)} \cosh\left(x\right)^{5} + 6 \, {\left(a^{9} b^{3} - 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} - 4 \, a^{3} b^{9} + a b^{11} + {\left(a^{8} b^{4} - 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} - 4 \, a^{2} b^{10} + b^{12}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 3 \, {\left(4 \, a^{10} b^{2} - 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} - 10 \, a^{4} b^{8} + b^{12}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(4 \, a^{10} b^{2} - 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} - 10 \, a^{4} b^{8} + b^{12} + 5 \, {\left(a^{8} b^{4} - 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} - 4 \, a^{2} b^{10} + b^{12}\right)} \cosh\left(x\right)^{2} + 10 \, {\left(a^{9} b^{3} - 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} - 4 \, a^{3} b^{9} + a b^{11}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 4 \, {\left(2 \, a^{11} b - 5 \, a^{9} b^{3} + 10 \, a^{5} b^{7} - 10 \, a^{3} b^{9} + 3 \, a b^{11}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(2 \, a^{11} b - 5 \, a^{9} b^{3} + 10 \, a^{5} b^{7} - 10 \, a^{3} b^{9} + 3 \, a b^{11} + 5 \, {\left(a^{8} b^{4} - 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} - 4 \, a^{2} b^{10} + b^{12}\right)} \cosh\left(x\right)^{3} + 15 \, {\left(a^{9} b^{3} - 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} - 4 \, a^{3} b^{9} + a b^{11}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(4 \, a^{10} b^{2} - 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} - 10 \, a^{4} b^{8} + b^{12}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(4 \, a^{10} b^{2} - 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} - 10 \, a^{4} b^{8} + b^{12}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(4 \, a^{10} b^{2} - 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} - 10 \, a^{4} b^{8} + b^{12} + 5 \, {\left(a^{8} b^{4} - 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} - 4 \, a^{2} b^{10} + b^{12}\right)} \cosh\left(x\right)^{4} + 20 \, {\left(a^{9} b^{3} - 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} - 4 \, a^{3} b^{9} + a b^{11}\right)} \cosh\left(x\right)^{3} + 6 \, {\left(4 \, a^{10} b^{2} - 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} - 10 \, a^{4} b^{8} + b^{12}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(2 \, a^{11} b - 5 \, a^{9} b^{3} + 10 \, a^{5} b^{7} - 10 \, a^{3} b^{9} + 3 \, a b^{11}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 6 \, {\left(a^{9} b^{3} - 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} - 4 \, a^{3} b^{9} + a b^{11}\right)} \cosh\left(x\right) + 6 \, {\left(a^{9} b^{3} - 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} - 4 \, a^{3} b^{9} + a b^{11} + {\left(a^{8} b^{4} - 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} - 4 \, a^{2} b^{10} + b^{12}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(a^{9} b^{3} - 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} - 4 \, a^{3} b^{9} + a b^{11}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(4 \, a^{10} b^{2} - 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} - 10 \, a^{4} b^{8} + b^{12}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(2 \, a^{11} b - 5 \, a^{9} b^{3} + 10 \, a^{5} b^{7} - 10 \, a^{3} b^{9} + 3 \, a b^{11}\right)} \cosh\left(x\right)^{2} + {\left(4 \, a^{10} b^{2} - 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} - 10 \, a^{4} b^{8} + b^{12}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}, -\frac{2 \, B a^{5} b^{3} - 11 \, A a^{4} b^{4} + 11 \, B a^{3} b^{5} + 7 \, A a^{2} b^{6} - 13 \, B a b^{7} + 4 \, A b^{8} - 3 \, {\left(2 \, A a^{5} b^{3} - 4 \, B a^{4} b^{4} + A a^{3} b^{5} + 3 \, B a^{2} b^{6} - 3 \, A a b^{7} + B b^{8}\right)} \cosh\left(x\right)^{5} - 3 \, {\left(2 \, A a^{5} b^{3} - 4 \, B a^{4} b^{4} + A a^{3} b^{5} + 3 \, B a^{2} b^{6} - 3 \, A a b^{7} + B b^{8}\right)} \sinh\left(x\right)^{5} - 15 \, {\left(2 \, A a^{6} b^{2} - 4 \, B a^{5} b^{3} + A a^{4} b^{4} + 3 \, B a^{3} b^{5} - 3 \, A a^{2} b^{6} + B a b^{7}\right)} \cosh\left(x\right)^{4} - 15 \, {\left(2 \, A a^{6} b^{2} - 4 \, B a^{5} b^{3} + A a^{4} b^{4} + 3 \, B a^{3} b^{5} - 3 \, A a^{2} b^{6} + B a b^{7} + {\left(2 \, A a^{5} b^{3} - 4 \, B a^{4} b^{4} + A a^{3} b^{5} + 3 \, B a^{2} b^{6} - 3 \, A a b^{7} + B b^{8}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 2 \, {\left(4 \, B a^{8} - 22 \, A a^{7} b + 28 \, B a^{6} b^{2} - 19 \, A a^{5} b^{3} + 7 \, B a^{4} b^{4} + 29 \, A a^{3} b^{5} - 39 \, B a^{2} b^{6} + 12 \, A a b^{7}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(4 \, B a^{8} - 22 \, A a^{7} b + 28 \, B a^{6} b^{2} - 19 \, A a^{5} b^{3} + 7 \, B a^{4} b^{4} + 29 \, A a^{3} b^{5} - 39 \, B a^{2} b^{6} + 12 \, A a b^{7} - 15 \, {\left(2 \, A a^{5} b^{3} - 4 \, B a^{4} b^{4} + A a^{3} b^{5} + 3 \, B a^{2} b^{6} - 3 \, A a b^{7} + B b^{8}\right)} \cosh\left(x\right)^{2} - 30 \, {\left(2 \, A a^{6} b^{2} - 4 \, B a^{5} b^{3} + A a^{4} b^{4} + 3 \, B a^{3} b^{5} - 3 \, A a^{2} b^{6} + B a b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 6 \, {\left(4 \, B a^{7} b - 17 \, A a^{6} b^{2} + 13 \, B a^{5} b^{3} + 11 \, A a^{4} b^{4} - 13 \, B a^{3} b^{5} + 4 \, A a^{2} b^{6} - 4 \, B a b^{7} + 2 \, A b^{8}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(4 \, B a^{7} b - 17 \, A a^{6} b^{2} + 13 \, B a^{5} b^{3} + 11 \, A a^{4} b^{4} - 13 \, B a^{3} b^{5} + 4 \, A a^{2} b^{6} - 4 \, B a b^{7} + 2 \, A b^{8} - 5 \, {\left(2 \, A a^{5} b^{3} - 4 \, B a^{4} b^{4} + A a^{3} b^{5} + 3 \, B a^{2} b^{6} - 3 \, A a b^{7} + B b^{8}\right)} \cosh\left(x\right)^{3} - 15 \, {\left(2 \, A a^{6} b^{2} - 4 \, B a^{5} b^{3} + A a^{4} b^{4} + 3 \, B a^{3} b^{5} - 3 \, A a^{2} b^{6} + B a b^{7}\right)} \cosh\left(x\right)^{2} + {\left(4 \, B a^{8} - 22 \, A a^{7} b + 28 \, B a^{6} b^{2} - 19 \, A a^{5} b^{3} + 7 \, B a^{4} b^{4} + 29 \, A a^{3} b^{5} - 39 \, B a^{2} b^{6} + 12 \, A a b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 3 \, {\left(2 \, A a^{3} b^{4} - 4 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7} + {\left(2 \, A a^{3} b^{4} - 4 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(x\right)^{6} + {\left(2 \, A a^{3} b^{4} - 4 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \sinh\left(x\right)^{6} + 6 \, {\left(2 \, A a^{4} b^{3} - 4 \, B a^{3} b^{4} + 3 \, A a^{2} b^{5} - B a b^{6}\right)} \cosh\left(x\right)^{5} + 6 \, {\left(2 \, A a^{4} b^{3} - 4 \, B a^{3} b^{4} + 3 \, A a^{2} b^{5} - B a b^{6} + {\left(2 \, A a^{3} b^{4} - 4 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 3 \, {\left(8 \, A a^{5} b^{2} - 16 \, B a^{4} b^{3} + 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(8 \, A a^{5} b^{2} - 16 \, B a^{4} b^{3} + 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7} + 5 \, {\left(2 \, A a^{3} b^{4} - 4 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(x\right)^{2} + 10 \, {\left(2 \, A a^{4} b^{3} - 4 \, B a^{3} b^{4} + 3 \, A a^{2} b^{5} - B a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 4 \, {\left(4 \, A a^{6} b - 8 \, B a^{5} b^{2} + 12 \, A a^{4} b^{3} - 14 \, B a^{3} b^{4} + 9 \, A a^{2} b^{5} - 3 \, B a b^{6}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(4 \, A a^{6} b - 8 \, B a^{5} b^{2} + 12 \, A a^{4} b^{3} - 14 \, B a^{3} b^{4} + 9 \, A a^{2} b^{5} - 3 \, B a b^{6} + 5 \, {\left(2 \, A a^{3} b^{4} - 4 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(x\right)^{3} + 15 \, {\left(2 \, A a^{4} b^{3} - 4 \, B a^{3} b^{4} + 3 \, A a^{2} b^{5} - B a b^{6}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(8 \, A a^{5} b^{2} - 16 \, B a^{4} b^{3} + 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(8 \, A a^{5} b^{2} - 16 \, B a^{4} b^{3} + 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(8 \, A a^{5} b^{2} - 16 \, B a^{4} b^{3} + 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7} + 5 \, {\left(2 \, A a^{3} b^{4} - 4 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(x\right)^{4} + 20 \, {\left(2 \, A a^{4} b^{3} - 4 \, B a^{3} b^{4} + 3 \, A a^{2} b^{5} - B a b^{6}\right)} \cosh\left(x\right)^{3} + 6 \, {\left(8 \, A a^{5} b^{2} - 16 \, B a^{4} b^{3} + 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(4 \, A a^{6} b - 8 \, B a^{5} b^{2} + 12 \, A a^{4} b^{3} - 14 \, B a^{3} b^{4} + 9 \, A a^{2} b^{5} - 3 \, B a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 6 \, {\left(2 \, A a^{4} b^{3} - 4 \, B a^{3} b^{4} + 3 \, A a^{2} b^{5} - B a b^{6}\right)} \cosh\left(x\right) + 6 \, {\left(2 \, A a^{4} b^{3} - 4 \, B a^{3} b^{4} + 3 \, A a^{2} b^{5} - B a b^{6} + {\left(2 \, A a^{3} b^{4} - 4 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(2 \, A a^{4} b^{3} - 4 \, B a^{3} b^{4} + 3 \, A a^{2} b^{5} - B a b^{6}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(8 \, A a^{5} b^{2} - 16 \, B a^{4} b^{3} + 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(4 \, A a^{6} b - 8 \, B a^{5} b^{2} + 12 \, A a^{4} b^{3} - 14 \, B a^{3} b^{4} + 9 \, A a^{2} b^{5} - 3 \, B a b^{6}\right)} \cosh\left(x\right)^{2} + {\left(8 \, A a^{5} b^{2} - 16 \, B a^{4} b^{3} + 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{-a^{2} + b^{2}} \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{a^{2} - b^{2}}\right) + 3 \, {\left(4 \, B a^{6} b^{2} - 20 \, A a^{5} b^{3} + 18 \, B a^{4} b^{4} + 15 \, A a^{3} b^{5} - 23 \, B a^{2} b^{6} + 5 \, A a b^{7} + B b^{8}\right)} \cosh\left(x\right) + 3 \, {\left(4 \, B a^{6} b^{2} - 20 \, A a^{5} b^{3} + 18 \, B a^{4} b^{4} + 15 \, A a^{3} b^{5} - 23 \, B a^{2} b^{6} + 5 \, A a b^{7} + B b^{8} - 5 \, {\left(2 \, A a^{5} b^{3} - 4 \, B a^{4} b^{4} + A a^{3} b^{5} + 3 \, B a^{2} b^{6} - 3 \, A a b^{7} + B b^{8}\right)} \cosh\left(x\right)^{4} - 20 \, {\left(2 \, A a^{6} b^{2} - 4 \, B a^{5} b^{3} + A a^{4} b^{4} + 3 \, B a^{3} b^{5} - 3 \, A a^{2} b^{6} + B a b^{7}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(4 \, B a^{8} - 22 \, A a^{7} b + 28 \, B a^{6} b^{2} - 19 \, A a^{5} b^{3} + 7 \, B a^{4} b^{4} + 29 \, A a^{3} b^{5} - 39 \, B a^{2} b^{6} + 12 \, A a b^{7}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(4 \, B a^{7} b - 17 \, A a^{6} b^{2} + 13 \, B a^{5} b^{3} + 11 \, A a^{4} b^{4} - 13 \, B a^{3} b^{5} + 4 \, A a^{2} b^{6} - 4 \, B a b^{7} + 2 \, A b^{8}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{3 \, {\left(a^{8} b^{4} - 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} - 4 \, a^{2} b^{10} + b^{12} + {\left(a^{8} b^{4} - 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} - 4 \, a^{2} b^{10} + b^{12}\right)} \cosh\left(x\right)^{6} + {\left(a^{8} b^{4} - 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} - 4 \, a^{2} b^{10} + b^{12}\right)} \sinh\left(x\right)^{6} + 6 \, {\left(a^{9} b^{3} - 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} - 4 \, a^{3} b^{9} + a b^{11}\right)} \cosh\left(x\right)^{5} + 6 \, {\left(a^{9} b^{3} - 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} - 4 \, a^{3} b^{9} + a b^{11} + {\left(a^{8} b^{4} - 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} - 4 \, a^{2} b^{10} + b^{12}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 3 \, {\left(4 \, a^{10} b^{2} - 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} - 10 \, a^{4} b^{8} + b^{12}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(4 \, a^{10} b^{2} - 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} - 10 \, a^{4} b^{8} + b^{12} + 5 \, {\left(a^{8} b^{4} - 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} - 4 \, a^{2} b^{10} + b^{12}\right)} \cosh\left(x\right)^{2} + 10 \, {\left(a^{9} b^{3} - 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} - 4 \, a^{3} b^{9} + a b^{11}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 4 \, {\left(2 \, a^{11} b - 5 \, a^{9} b^{3} + 10 \, a^{5} b^{7} - 10 \, a^{3} b^{9} + 3 \, a b^{11}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(2 \, a^{11} b - 5 \, a^{9} b^{3} + 10 \, a^{5} b^{7} - 10 \, a^{3} b^{9} + 3 \, a b^{11} + 5 \, {\left(a^{8} b^{4} - 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} - 4 \, a^{2} b^{10} + b^{12}\right)} \cosh\left(x\right)^{3} + 15 \, {\left(a^{9} b^{3} - 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} - 4 \, a^{3} b^{9} + a b^{11}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(4 \, a^{10} b^{2} - 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} - 10 \, a^{4} b^{8} + b^{12}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(4 \, a^{10} b^{2} - 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} - 10 \, a^{4} b^{8} + b^{12}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(4 \, a^{10} b^{2} - 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} - 10 \, a^{4} b^{8} + b^{12} + 5 \, {\left(a^{8} b^{4} - 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} - 4 \, a^{2} b^{10} + b^{12}\right)} \cosh\left(x\right)^{4} + 20 \, {\left(a^{9} b^{3} - 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} - 4 \, a^{3} b^{9} + a b^{11}\right)} \cosh\left(x\right)^{3} + 6 \, {\left(4 \, a^{10} b^{2} - 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} - 10 \, a^{4} b^{8} + b^{12}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(2 \, a^{11} b - 5 \, a^{9} b^{3} + 10 \, a^{5} b^{7} - 10 \, a^{3} b^{9} + 3 \, a b^{11}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 6 \, {\left(a^{9} b^{3} - 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} - 4 \, a^{3} b^{9} + a b^{11}\right)} \cosh\left(x\right) + 6 \, {\left(a^{9} b^{3} - 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} - 4 \, a^{3} b^{9} + a b^{11} + {\left(a^{8} b^{4} - 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} - 4 \, a^{2} b^{10} + b^{12}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(a^{9} b^{3} - 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} - 4 \, a^{3} b^{9} + a b^{11}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(4 \, a^{10} b^{2} - 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} - 10 \, a^{4} b^{8} + b^{12}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(2 \, a^{11} b - 5 \, a^{9} b^{3} + 10 \, a^{5} b^{7} - 10 \, a^{3} b^{9} + 3 \, a b^{11}\right)} \cosh\left(x\right)^{2} + {\left(4 \, a^{10} b^{2} - 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} - 10 \, a^{4} b^{8} + b^{12}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}\right]"," ",0,"[-1/6*(4*B*a^5*b^3 - 22*A*a^4*b^4 + 22*B*a^3*b^5 + 14*A*a^2*b^6 - 26*B*a*b^7 + 8*A*b^8 - 6*(2*A*a^5*b^3 - 4*B*a^4*b^4 + A*a^3*b^5 + 3*B*a^2*b^6 - 3*A*a*b^7 + B*b^8)*cosh(x)^5 - 6*(2*A*a^5*b^3 - 4*B*a^4*b^4 + A*a^3*b^5 + 3*B*a^2*b^6 - 3*A*a*b^7 + B*b^8)*sinh(x)^5 - 30*(2*A*a^6*b^2 - 4*B*a^5*b^3 + A*a^4*b^4 + 3*B*a^3*b^5 - 3*A*a^2*b^6 + B*a*b^7)*cosh(x)^4 - 30*(2*A*a^6*b^2 - 4*B*a^5*b^3 + A*a^4*b^4 + 3*B*a^3*b^5 - 3*A*a^2*b^6 + B*a*b^7 + (2*A*a^5*b^3 - 4*B*a^4*b^4 + A*a^3*b^5 + 3*B*a^2*b^6 - 3*A*a*b^7 + B*b^8)*cosh(x))*sinh(x)^4 + 4*(4*B*a^8 - 22*A*a^7*b + 28*B*a^6*b^2 - 19*A*a^5*b^3 + 7*B*a^4*b^4 + 29*A*a^3*b^5 - 39*B*a^2*b^6 + 12*A*a*b^7)*cosh(x)^3 + 4*(4*B*a^8 - 22*A*a^7*b + 28*B*a^6*b^2 - 19*A*a^5*b^3 + 7*B*a^4*b^4 + 29*A*a^3*b^5 - 39*B*a^2*b^6 + 12*A*a*b^7 - 15*(2*A*a^5*b^3 - 4*B*a^4*b^4 + A*a^3*b^5 + 3*B*a^2*b^6 - 3*A*a*b^7 + B*b^8)*cosh(x)^2 - 30*(2*A*a^6*b^2 - 4*B*a^5*b^3 + A*a^4*b^4 + 3*B*a^3*b^5 - 3*A*a^2*b^6 + B*a*b^7)*cosh(x))*sinh(x)^3 + 12*(4*B*a^7*b - 17*A*a^6*b^2 + 13*B*a^5*b^3 + 11*A*a^4*b^4 - 13*B*a^3*b^5 + 4*A*a^2*b^6 - 4*B*a*b^7 + 2*A*b^8)*cosh(x)^2 + 12*(4*B*a^7*b - 17*A*a^6*b^2 + 13*B*a^5*b^3 + 11*A*a^4*b^4 - 13*B*a^3*b^5 + 4*A*a^2*b^6 - 4*B*a*b^7 + 2*A*b^8 - 5*(2*A*a^5*b^3 - 4*B*a^4*b^4 + A*a^3*b^5 + 3*B*a^2*b^6 - 3*A*a*b^7 + B*b^8)*cosh(x)^3 - 15*(2*A*a^6*b^2 - 4*B*a^5*b^3 + A*a^4*b^4 + 3*B*a^3*b^5 - 3*A*a^2*b^6 + B*a*b^7)*cosh(x)^2 + (4*B*a^8 - 22*A*a^7*b + 28*B*a^6*b^2 - 19*A*a^5*b^3 + 7*B*a^4*b^4 + 29*A*a^3*b^5 - 39*B*a^2*b^6 + 12*A*a*b^7)*cosh(x))*sinh(x)^2 - 3*(2*A*a^3*b^4 - 4*B*a^2*b^5 + 3*A*a*b^6 - B*b^7 + (2*A*a^3*b^4 - 4*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(x)^6 + (2*A*a^3*b^4 - 4*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*sinh(x)^6 + 6*(2*A*a^4*b^3 - 4*B*a^3*b^4 + 3*A*a^2*b^5 - B*a*b^6)*cosh(x)^5 + 6*(2*A*a^4*b^3 - 4*B*a^3*b^4 + 3*A*a^2*b^5 - B*a*b^6 + (2*A*a^3*b^4 - 4*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(x))*sinh(x)^5 + 3*(8*A*a^5*b^2 - 16*B*a^4*b^3 + 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(x)^4 + 3*(8*A*a^5*b^2 - 16*B*a^4*b^3 + 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 - B*b^7 + 5*(2*A*a^3*b^4 - 4*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(x)^2 + 10*(2*A*a^4*b^3 - 4*B*a^3*b^4 + 3*A*a^2*b^5 - B*a*b^6)*cosh(x))*sinh(x)^4 + 4*(4*A*a^6*b - 8*B*a^5*b^2 + 12*A*a^4*b^3 - 14*B*a^3*b^4 + 9*A*a^2*b^5 - 3*B*a*b^6)*cosh(x)^3 + 4*(4*A*a^6*b - 8*B*a^5*b^2 + 12*A*a^4*b^3 - 14*B*a^3*b^4 + 9*A*a^2*b^5 - 3*B*a*b^6 + 5*(2*A*a^3*b^4 - 4*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(x)^3 + 15*(2*A*a^4*b^3 - 4*B*a^3*b^4 + 3*A*a^2*b^5 - B*a*b^6)*cosh(x)^2 + 3*(8*A*a^5*b^2 - 16*B*a^4*b^3 + 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(x))*sinh(x)^3 + 3*(8*A*a^5*b^2 - 16*B*a^4*b^3 + 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(x)^2 + 3*(8*A*a^5*b^2 - 16*B*a^4*b^3 + 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 - B*b^7 + 5*(2*A*a^3*b^4 - 4*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(x)^4 + 20*(2*A*a^4*b^3 - 4*B*a^3*b^4 + 3*A*a^2*b^5 - B*a*b^6)*cosh(x)^3 + 6*(8*A*a^5*b^2 - 16*B*a^4*b^3 + 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(x)^2 + 4*(4*A*a^6*b - 8*B*a^5*b^2 + 12*A*a^4*b^3 - 14*B*a^3*b^4 + 9*A*a^2*b^5 - 3*B*a*b^6)*cosh(x))*sinh(x)^2 + 6*(2*A*a^4*b^3 - 4*B*a^3*b^4 + 3*A*a^2*b^5 - B*a*b^6)*cosh(x) + 6*(2*A*a^4*b^3 - 4*B*a^3*b^4 + 3*A*a^2*b^5 - B*a*b^6 + (2*A*a^3*b^4 - 4*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(x)^5 + 5*(2*A*a^4*b^3 - 4*B*a^3*b^4 + 3*A*a^2*b^5 - B*a*b^6)*cosh(x)^4 + 2*(8*A*a^5*b^2 - 16*B*a^4*b^3 + 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(x)^3 + 2*(4*A*a^6*b - 8*B*a^5*b^2 + 12*A*a^4*b^3 - 14*B*a^3*b^4 + 9*A*a^2*b^5 - 3*B*a*b^6)*cosh(x)^2 + (8*A*a^5*b^2 - 16*B*a^4*b^3 + 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(x))*sinh(x))*sqrt(a^2 - b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 - b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 - b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) + b)) + 6*(4*B*a^6*b^2 - 20*A*a^5*b^3 + 18*B*a^4*b^4 + 15*A*a^3*b^5 - 23*B*a^2*b^6 + 5*A*a*b^7 + B*b^8)*cosh(x) + 6*(4*B*a^6*b^2 - 20*A*a^5*b^3 + 18*B*a^4*b^4 + 15*A*a^3*b^5 - 23*B*a^2*b^6 + 5*A*a*b^7 + B*b^8 - 5*(2*A*a^5*b^3 - 4*B*a^4*b^4 + A*a^3*b^5 + 3*B*a^2*b^6 - 3*A*a*b^7 + B*b^8)*cosh(x)^4 - 20*(2*A*a^6*b^2 - 4*B*a^5*b^3 + A*a^4*b^4 + 3*B*a^3*b^5 - 3*A*a^2*b^6 + B*a*b^7)*cosh(x)^3 + 2*(4*B*a^8 - 22*A*a^7*b + 28*B*a^6*b^2 - 19*A*a^5*b^3 + 7*B*a^4*b^4 + 29*A*a^3*b^5 - 39*B*a^2*b^6 + 12*A*a*b^7)*cosh(x)^2 + 4*(4*B*a^7*b - 17*A*a^6*b^2 + 13*B*a^5*b^3 + 11*A*a^4*b^4 - 13*B*a^3*b^5 + 4*A*a^2*b^6 - 4*B*a*b^7 + 2*A*b^8)*cosh(x))*sinh(x))/(a^8*b^4 - 4*a^6*b^6 + 6*a^4*b^8 - 4*a^2*b^10 + b^12 + (a^8*b^4 - 4*a^6*b^6 + 6*a^4*b^8 - 4*a^2*b^10 + b^12)*cosh(x)^6 + (a^8*b^4 - 4*a^6*b^6 + 6*a^4*b^8 - 4*a^2*b^10 + b^12)*sinh(x)^6 + 6*(a^9*b^3 - 4*a^7*b^5 + 6*a^5*b^7 - 4*a^3*b^9 + a*b^11)*cosh(x)^5 + 6*(a^9*b^3 - 4*a^7*b^5 + 6*a^5*b^7 - 4*a^3*b^9 + a*b^11 + (a^8*b^4 - 4*a^6*b^6 + 6*a^4*b^8 - 4*a^2*b^10 + b^12)*cosh(x))*sinh(x)^5 + 3*(4*a^10*b^2 - 15*a^8*b^4 + 20*a^6*b^6 - 10*a^4*b^8 + b^12)*cosh(x)^4 + 3*(4*a^10*b^2 - 15*a^8*b^4 + 20*a^6*b^6 - 10*a^4*b^8 + b^12 + 5*(a^8*b^4 - 4*a^6*b^6 + 6*a^4*b^8 - 4*a^2*b^10 + b^12)*cosh(x)^2 + 10*(a^9*b^3 - 4*a^7*b^5 + 6*a^5*b^7 - 4*a^3*b^9 + a*b^11)*cosh(x))*sinh(x)^4 + 4*(2*a^11*b - 5*a^9*b^3 + 10*a^5*b^7 - 10*a^3*b^9 + 3*a*b^11)*cosh(x)^3 + 4*(2*a^11*b - 5*a^9*b^3 + 10*a^5*b^7 - 10*a^3*b^9 + 3*a*b^11 + 5*(a^8*b^4 - 4*a^6*b^6 + 6*a^4*b^8 - 4*a^2*b^10 + b^12)*cosh(x)^3 + 15*(a^9*b^3 - 4*a^7*b^5 + 6*a^5*b^7 - 4*a^3*b^9 + a*b^11)*cosh(x)^2 + 3*(4*a^10*b^2 - 15*a^8*b^4 + 20*a^6*b^6 - 10*a^4*b^8 + b^12)*cosh(x))*sinh(x)^3 + 3*(4*a^10*b^2 - 15*a^8*b^4 + 20*a^6*b^6 - 10*a^4*b^8 + b^12)*cosh(x)^2 + 3*(4*a^10*b^2 - 15*a^8*b^4 + 20*a^6*b^6 - 10*a^4*b^8 + b^12 + 5*(a^8*b^4 - 4*a^6*b^6 + 6*a^4*b^8 - 4*a^2*b^10 + b^12)*cosh(x)^4 + 20*(a^9*b^3 - 4*a^7*b^5 + 6*a^5*b^7 - 4*a^3*b^9 + a*b^11)*cosh(x)^3 + 6*(4*a^10*b^2 - 15*a^8*b^4 + 20*a^6*b^6 - 10*a^4*b^8 + b^12)*cosh(x)^2 + 4*(2*a^11*b - 5*a^9*b^3 + 10*a^5*b^7 - 10*a^3*b^9 + 3*a*b^11)*cosh(x))*sinh(x)^2 + 6*(a^9*b^3 - 4*a^7*b^5 + 6*a^5*b^7 - 4*a^3*b^9 + a*b^11)*cosh(x) + 6*(a^9*b^3 - 4*a^7*b^5 + 6*a^5*b^7 - 4*a^3*b^9 + a*b^11 + (a^8*b^4 - 4*a^6*b^6 + 6*a^4*b^8 - 4*a^2*b^10 + b^12)*cosh(x)^5 + 5*(a^9*b^3 - 4*a^7*b^5 + 6*a^5*b^7 - 4*a^3*b^9 + a*b^11)*cosh(x)^4 + 2*(4*a^10*b^2 - 15*a^8*b^4 + 20*a^6*b^6 - 10*a^4*b^8 + b^12)*cosh(x)^3 + 2*(2*a^11*b - 5*a^9*b^3 + 10*a^5*b^7 - 10*a^3*b^9 + 3*a*b^11)*cosh(x)^2 + (4*a^10*b^2 - 15*a^8*b^4 + 20*a^6*b^6 - 10*a^4*b^8 + b^12)*cosh(x))*sinh(x)), -1/3*(2*B*a^5*b^3 - 11*A*a^4*b^4 + 11*B*a^3*b^5 + 7*A*a^2*b^6 - 13*B*a*b^7 + 4*A*b^8 - 3*(2*A*a^5*b^3 - 4*B*a^4*b^4 + A*a^3*b^5 + 3*B*a^2*b^6 - 3*A*a*b^7 + B*b^8)*cosh(x)^5 - 3*(2*A*a^5*b^3 - 4*B*a^4*b^4 + A*a^3*b^5 + 3*B*a^2*b^6 - 3*A*a*b^7 + B*b^8)*sinh(x)^5 - 15*(2*A*a^6*b^2 - 4*B*a^5*b^3 + A*a^4*b^4 + 3*B*a^3*b^5 - 3*A*a^2*b^6 + B*a*b^7)*cosh(x)^4 - 15*(2*A*a^6*b^2 - 4*B*a^5*b^3 + A*a^4*b^4 + 3*B*a^3*b^5 - 3*A*a^2*b^6 + B*a*b^7 + (2*A*a^5*b^3 - 4*B*a^4*b^4 + A*a^3*b^5 + 3*B*a^2*b^6 - 3*A*a*b^7 + B*b^8)*cosh(x))*sinh(x)^4 + 2*(4*B*a^8 - 22*A*a^7*b + 28*B*a^6*b^2 - 19*A*a^5*b^3 + 7*B*a^4*b^4 + 29*A*a^3*b^5 - 39*B*a^2*b^6 + 12*A*a*b^7)*cosh(x)^3 + 2*(4*B*a^8 - 22*A*a^7*b + 28*B*a^6*b^2 - 19*A*a^5*b^3 + 7*B*a^4*b^4 + 29*A*a^3*b^5 - 39*B*a^2*b^6 + 12*A*a*b^7 - 15*(2*A*a^5*b^3 - 4*B*a^4*b^4 + A*a^3*b^5 + 3*B*a^2*b^6 - 3*A*a*b^7 + B*b^8)*cosh(x)^2 - 30*(2*A*a^6*b^2 - 4*B*a^5*b^3 + A*a^4*b^4 + 3*B*a^3*b^5 - 3*A*a^2*b^6 + B*a*b^7)*cosh(x))*sinh(x)^3 + 6*(4*B*a^7*b - 17*A*a^6*b^2 + 13*B*a^5*b^3 + 11*A*a^4*b^4 - 13*B*a^3*b^5 + 4*A*a^2*b^6 - 4*B*a*b^7 + 2*A*b^8)*cosh(x)^2 + 6*(4*B*a^7*b - 17*A*a^6*b^2 + 13*B*a^5*b^3 + 11*A*a^4*b^4 - 13*B*a^3*b^5 + 4*A*a^2*b^6 - 4*B*a*b^7 + 2*A*b^8 - 5*(2*A*a^5*b^3 - 4*B*a^4*b^4 + A*a^3*b^5 + 3*B*a^2*b^6 - 3*A*a*b^7 + B*b^8)*cosh(x)^3 - 15*(2*A*a^6*b^2 - 4*B*a^5*b^3 + A*a^4*b^4 + 3*B*a^3*b^5 - 3*A*a^2*b^6 + B*a*b^7)*cosh(x)^2 + (4*B*a^8 - 22*A*a^7*b + 28*B*a^6*b^2 - 19*A*a^5*b^3 + 7*B*a^4*b^4 + 29*A*a^3*b^5 - 39*B*a^2*b^6 + 12*A*a*b^7)*cosh(x))*sinh(x)^2 + 3*(2*A*a^3*b^4 - 4*B*a^2*b^5 + 3*A*a*b^6 - B*b^7 + (2*A*a^3*b^4 - 4*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(x)^6 + (2*A*a^3*b^4 - 4*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*sinh(x)^6 + 6*(2*A*a^4*b^3 - 4*B*a^3*b^4 + 3*A*a^2*b^5 - B*a*b^6)*cosh(x)^5 + 6*(2*A*a^4*b^3 - 4*B*a^3*b^4 + 3*A*a^2*b^5 - B*a*b^6 + (2*A*a^3*b^4 - 4*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(x))*sinh(x)^5 + 3*(8*A*a^5*b^2 - 16*B*a^4*b^3 + 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(x)^4 + 3*(8*A*a^5*b^2 - 16*B*a^4*b^3 + 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 - B*b^7 + 5*(2*A*a^3*b^4 - 4*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(x)^2 + 10*(2*A*a^4*b^3 - 4*B*a^3*b^4 + 3*A*a^2*b^5 - B*a*b^6)*cosh(x))*sinh(x)^4 + 4*(4*A*a^6*b - 8*B*a^5*b^2 + 12*A*a^4*b^3 - 14*B*a^3*b^4 + 9*A*a^2*b^5 - 3*B*a*b^6)*cosh(x)^3 + 4*(4*A*a^6*b - 8*B*a^5*b^2 + 12*A*a^4*b^3 - 14*B*a^3*b^4 + 9*A*a^2*b^5 - 3*B*a*b^6 + 5*(2*A*a^3*b^4 - 4*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(x)^3 + 15*(2*A*a^4*b^3 - 4*B*a^3*b^4 + 3*A*a^2*b^5 - B*a*b^6)*cosh(x)^2 + 3*(8*A*a^5*b^2 - 16*B*a^4*b^3 + 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(x))*sinh(x)^3 + 3*(8*A*a^5*b^2 - 16*B*a^4*b^3 + 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(x)^2 + 3*(8*A*a^5*b^2 - 16*B*a^4*b^3 + 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 - B*b^7 + 5*(2*A*a^3*b^4 - 4*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(x)^4 + 20*(2*A*a^4*b^3 - 4*B*a^3*b^4 + 3*A*a^2*b^5 - B*a*b^6)*cosh(x)^3 + 6*(8*A*a^5*b^2 - 16*B*a^4*b^3 + 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(x)^2 + 4*(4*A*a^6*b - 8*B*a^5*b^2 + 12*A*a^4*b^3 - 14*B*a^3*b^4 + 9*A*a^2*b^5 - 3*B*a*b^6)*cosh(x))*sinh(x)^2 + 6*(2*A*a^4*b^3 - 4*B*a^3*b^4 + 3*A*a^2*b^5 - B*a*b^6)*cosh(x) + 6*(2*A*a^4*b^3 - 4*B*a^3*b^4 + 3*A*a^2*b^5 - B*a*b^6 + (2*A*a^3*b^4 - 4*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(x)^5 + 5*(2*A*a^4*b^3 - 4*B*a^3*b^4 + 3*A*a^2*b^5 - B*a*b^6)*cosh(x)^4 + 2*(8*A*a^5*b^2 - 16*B*a^4*b^3 + 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(x)^3 + 2*(4*A*a^6*b - 8*B*a^5*b^2 + 12*A*a^4*b^3 - 14*B*a^3*b^4 + 9*A*a^2*b^5 - 3*B*a*b^6)*cosh(x)^2 + (8*A*a^5*b^2 - 16*B*a^4*b^3 + 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(x))*sinh(x))*sqrt(-a^2 + b^2)*arctan(-sqrt(-a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a)/(a^2 - b^2)) + 3*(4*B*a^6*b^2 - 20*A*a^5*b^3 + 18*B*a^4*b^4 + 15*A*a^3*b^5 - 23*B*a^2*b^6 + 5*A*a*b^7 + B*b^8)*cosh(x) + 3*(4*B*a^6*b^2 - 20*A*a^5*b^3 + 18*B*a^4*b^4 + 15*A*a^3*b^5 - 23*B*a^2*b^6 + 5*A*a*b^7 + B*b^8 - 5*(2*A*a^5*b^3 - 4*B*a^4*b^4 + A*a^3*b^5 + 3*B*a^2*b^6 - 3*A*a*b^7 + B*b^8)*cosh(x)^4 - 20*(2*A*a^6*b^2 - 4*B*a^5*b^3 + A*a^4*b^4 + 3*B*a^3*b^5 - 3*A*a^2*b^6 + B*a*b^7)*cosh(x)^3 + 2*(4*B*a^8 - 22*A*a^7*b + 28*B*a^6*b^2 - 19*A*a^5*b^3 + 7*B*a^4*b^4 + 29*A*a^3*b^5 - 39*B*a^2*b^6 + 12*A*a*b^7)*cosh(x)^2 + 4*(4*B*a^7*b - 17*A*a^6*b^2 + 13*B*a^5*b^3 + 11*A*a^4*b^4 - 13*B*a^3*b^5 + 4*A*a^2*b^6 - 4*B*a*b^7 + 2*A*b^8)*cosh(x))*sinh(x))/(a^8*b^4 - 4*a^6*b^6 + 6*a^4*b^8 - 4*a^2*b^10 + b^12 + (a^8*b^4 - 4*a^6*b^6 + 6*a^4*b^8 - 4*a^2*b^10 + b^12)*cosh(x)^6 + (a^8*b^4 - 4*a^6*b^6 + 6*a^4*b^8 - 4*a^2*b^10 + b^12)*sinh(x)^6 + 6*(a^9*b^3 - 4*a^7*b^5 + 6*a^5*b^7 - 4*a^3*b^9 + a*b^11)*cosh(x)^5 + 6*(a^9*b^3 - 4*a^7*b^5 + 6*a^5*b^7 - 4*a^3*b^9 + a*b^11 + (a^8*b^4 - 4*a^6*b^6 + 6*a^4*b^8 - 4*a^2*b^10 + b^12)*cosh(x))*sinh(x)^5 + 3*(4*a^10*b^2 - 15*a^8*b^4 + 20*a^6*b^6 - 10*a^4*b^8 + b^12)*cosh(x)^4 + 3*(4*a^10*b^2 - 15*a^8*b^4 + 20*a^6*b^6 - 10*a^4*b^8 + b^12 + 5*(a^8*b^4 - 4*a^6*b^6 + 6*a^4*b^8 - 4*a^2*b^10 + b^12)*cosh(x)^2 + 10*(a^9*b^3 - 4*a^7*b^5 + 6*a^5*b^7 - 4*a^3*b^9 + a*b^11)*cosh(x))*sinh(x)^4 + 4*(2*a^11*b - 5*a^9*b^3 + 10*a^5*b^7 - 10*a^3*b^9 + 3*a*b^11)*cosh(x)^3 + 4*(2*a^11*b - 5*a^9*b^3 + 10*a^5*b^7 - 10*a^3*b^9 + 3*a*b^11 + 5*(a^8*b^4 - 4*a^6*b^6 + 6*a^4*b^8 - 4*a^2*b^10 + b^12)*cosh(x)^3 + 15*(a^9*b^3 - 4*a^7*b^5 + 6*a^5*b^7 - 4*a^3*b^9 + a*b^11)*cosh(x)^2 + 3*(4*a^10*b^2 - 15*a^8*b^4 + 20*a^6*b^6 - 10*a^4*b^8 + b^12)*cosh(x))*sinh(x)^3 + 3*(4*a^10*b^2 - 15*a^8*b^4 + 20*a^6*b^6 - 10*a^4*b^8 + b^12)*cosh(x)^2 + 3*(4*a^10*b^2 - 15*a^8*b^4 + 20*a^6*b^6 - 10*a^4*b^8 + b^12 + 5*(a^8*b^4 - 4*a^6*b^6 + 6*a^4*b^8 - 4*a^2*b^10 + b^12)*cosh(x)^4 + 20*(a^9*b^3 - 4*a^7*b^5 + 6*a^5*b^7 - 4*a^3*b^9 + a*b^11)*cosh(x)^3 + 6*(4*a^10*b^2 - 15*a^8*b^4 + 20*a^6*b^6 - 10*a^4*b^8 + b^12)*cosh(x)^2 + 4*(2*a^11*b - 5*a^9*b^3 + 10*a^5*b^7 - 10*a^3*b^9 + 3*a*b^11)*cosh(x))*sinh(x)^2 + 6*(a^9*b^3 - 4*a^7*b^5 + 6*a^5*b^7 - 4*a^3*b^9 + a*b^11)*cosh(x) + 6*(a^9*b^3 - 4*a^7*b^5 + 6*a^5*b^7 - 4*a^3*b^9 + a*b^11 + (a^8*b^4 - 4*a^6*b^6 + 6*a^4*b^8 - 4*a^2*b^10 + b^12)*cosh(x)^5 + 5*(a^9*b^3 - 4*a^7*b^5 + 6*a^5*b^7 - 4*a^3*b^9 + a*b^11)*cosh(x)^4 + 2*(4*a^10*b^2 - 15*a^8*b^4 + 20*a^6*b^6 - 10*a^4*b^8 + b^12)*cosh(x)^3 + 2*(2*a^11*b - 5*a^9*b^3 + 10*a^5*b^7 - 10*a^3*b^9 + 3*a*b^11)*cosh(x)^2 + (4*a^10*b^2 - 15*a^8*b^4 + 20*a^6*b^6 - 10*a^4*b^8 + b^12)*cosh(x))*sinh(x))]","B",0
114,1,190,0,1.796311," ","integrate((b*B/a+B*cosh(x))/(a+b*cosh(x)),x, algorithm=""fricas"")","\left[\frac{B a x + \sqrt{a^{2} - b^{2}} B \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b}\right)}{a b}, \frac{B a x + 2 \, \sqrt{-a^{2} + b^{2}} B \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{a^{2} - b^{2}}\right)}{a b}\right]"," ",0,"[(B*a*x + sqrt(a^2 - b^2)*B*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 - b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 - b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) + b)))/(a*b), (B*a*x + 2*sqrt(-a^2 + b^2)*B*arctan(-sqrt(-a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a)/(a^2 - b^2)))/(a*b)]","A",0
115,1,6,0,0.696871," ","integrate((a*B/b+B*cosh(x))/(a+b*cosh(x)),x, algorithm=""fricas"")","\frac{B x}{b}"," ",0,"B*x/b","A",0
116,1,54,0,1.783320," ","integrate((a+b*cosh(x))/(b+a*cosh(x))^2,x, algorithm=""fricas"")","-\frac{2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{a^{2} \cosh\left(x\right)^{2} + a^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + a^{2} + 2 \, {\left(a^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right)}"," ",0,"-2*(b*cosh(x) + b*sinh(x) + a)/(a^2*cosh(x)^2 + a^2*sinh(x)^2 + 2*a*b*cosh(x) + a^2 + 2*(a^2*cosh(x) + a*b)*sinh(x))","B",0
117,1,45,0,2.704549," ","integrate((3+cosh(x))/(2-cosh(x)),x, algorithm=""fricas"")","\frac{5}{3} \, \sqrt{3} \log\left(-\frac{2 \, {\left(\sqrt{3} - 2\right)} \cosh\left(x\right) - {\left(2 \, \sqrt{3} - 3\right)} \sinh\left(x\right) - \sqrt{3} + 2}{\cosh\left(x\right) - 2}\right) - x"," ",0,"5/3*sqrt(3)*log(-(2*(sqrt(3) - 2)*cosh(x) - (2*sqrt(3) - 3)*sinh(x) - sqrt(3) + 2)/(cosh(x) - 2)) - x","A",0
118,0,0,0,0.718699," ","integrate((A+B*cosh(x))/(a+b*cosh(x))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{B \cosh\left(x\right) + A}{\sqrt{b \cosh\left(x\right) + a}}, x\right)"," ",0,"integral((B*cosh(x) + A)/sqrt(b*cosh(x) + a), x)","F",0
119,0,0,0,0.766541," ","integrate((A+B*cosh(x))/(a+b*cosh(x))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(B \cosh\left(x\right) + A\right)} \sqrt{b \cosh\left(x\right) + a}}{b^{2} \cosh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + a^{2}}, x\right)"," ",0,"integral((B*cosh(x) + A)*sqrt(b*cosh(x) + a)/(b^2*cosh(x)^2 + 2*a*b*cosh(x) + a^2), x)","F",0
120,0,0,0,0.965339," ","integrate((A+B*cosh(x))/(a+b*cosh(x))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(B \cosh\left(x\right) + A\right)} \sqrt{b \cosh\left(x\right) + a}}{b^{3} \cosh\left(x\right)^{3} + 3 \, a b^{2} \cosh\left(x\right)^{2} + 3 \, a^{2} b \cosh\left(x\right) + a^{3}}, x\right)"," ",0,"integral((B*cosh(x) + A)*sqrt(b*cosh(x) + a)/(b^3*cosh(x)^3 + 3*a*b^2*cosh(x)^2 + 3*a^2*b*cosh(x) + a^3), x)","F",0
121,1,817,0,2.763786," ","integrate((a*cosh(x)^2)^(7/2),x, algorithm=""fricas"")","\frac{{\left(70 \, a^{3} \cosh\left(x\right) e^{x} \sinh\left(x\right)^{13} + 5 \, a^{3} e^{x} \sinh\left(x\right)^{14} + 7 \, {\left(65 \, a^{3} \cosh\left(x\right)^{2} + 7 \, a^{3}\right)} e^{x} \sinh\left(x\right)^{12} + 28 \, {\left(65 \, a^{3} \cosh\left(x\right)^{3} + 21 \, a^{3} \cosh\left(x\right)\right)} e^{x} \sinh\left(x\right)^{11} + 7 \, {\left(715 \, a^{3} \cosh\left(x\right)^{4} + 462 \, a^{3} \cosh\left(x\right)^{2} + 35 \, a^{3}\right)} e^{x} \sinh\left(x\right)^{10} + 70 \, {\left(143 \, a^{3} \cosh\left(x\right)^{5} + 154 \, a^{3} \cosh\left(x\right)^{3} + 35 \, a^{3} \cosh\left(x\right)\right)} e^{x} \sinh\left(x\right)^{9} + 35 \, {\left(429 \, a^{3} \cosh\left(x\right)^{6} + 693 \, a^{3} \cosh\left(x\right)^{4} + 315 \, a^{3} \cosh\left(x\right)^{2} + 35 \, a^{3}\right)} e^{x} \sinh\left(x\right)^{8} + 8 \, {\left(2145 \, a^{3} \cosh\left(x\right)^{7} + 4851 \, a^{3} \cosh\left(x\right)^{5} + 3675 \, a^{3} \cosh\left(x\right)^{3} + 1225 \, a^{3} \cosh\left(x\right)\right)} e^{x} \sinh\left(x\right)^{7} + 7 \, {\left(2145 \, a^{3} \cosh\left(x\right)^{8} + 6468 \, a^{3} \cosh\left(x\right)^{6} + 7350 \, a^{3} \cosh\left(x\right)^{4} + 4900 \, a^{3} \cosh\left(x\right)^{2} - 175 \, a^{3}\right)} e^{x} \sinh\left(x\right)^{6} + 14 \, {\left(715 \, a^{3} \cosh\left(x\right)^{9} + 2772 \, a^{3} \cosh\left(x\right)^{7} + 4410 \, a^{3} \cosh\left(x\right)^{5} + 4900 \, a^{3} \cosh\left(x\right)^{3} - 525 \, a^{3} \cosh\left(x\right)\right)} e^{x} \sinh\left(x\right)^{5} + 35 \, {\left(143 \, a^{3} \cosh\left(x\right)^{10} + 693 \, a^{3} \cosh\left(x\right)^{8} + 1470 \, a^{3} \cosh\left(x\right)^{6} + 2450 \, a^{3} \cosh\left(x\right)^{4} - 525 \, a^{3} \cosh\left(x\right)^{2} - 7 \, a^{3}\right)} e^{x} \sinh\left(x\right)^{4} + 140 \, {\left(13 \, a^{3} \cosh\left(x\right)^{11} + 77 \, a^{3} \cosh\left(x\right)^{9} + 210 \, a^{3} \cosh\left(x\right)^{7} + 490 \, a^{3} \cosh\left(x\right)^{5} - 175 \, a^{3} \cosh\left(x\right)^{3} - 7 \, a^{3} \cosh\left(x\right)\right)} e^{x} \sinh\left(x\right)^{3} + 7 \, {\left(65 \, a^{3} \cosh\left(x\right)^{12} + 462 \, a^{3} \cosh\left(x\right)^{10} + 1575 \, a^{3} \cosh\left(x\right)^{8} + 4900 \, a^{3} \cosh\left(x\right)^{6} - 2625 \, a^{3} \cosh\left(x\right)^{4} - 210 \, a^{3} \cosh\left(x\right)^{2} - 7 \, a^{3}\right)} e^{x} \sinh\left(x\right)^{2} + 14 \, {\left(5 \, a^{3} \cosh\left(x\right)^{13} + 42 \, a^{3} \cosh\left(x\right)^{11} + 175 \, a^{3} \cosh\left(x\right)^{9} + 700 \, a^{3} \cosh\left(x\right)^{7} - 525 \, a^{3} \cosh\left(x\right)^{5} - 70 \, a^{3} \cosh\left(x\right)^{3} - 7 \, a^{3} \cosh\left(x\right)\right)} e^{x} \sinh\left(x\right) + {\left(5 \, a^{3} \cosh\left(x\right)^{14} + 49 \, a^{3} \cosh\left(x\right)^{12} + 245 \, a^{3} \cosh\left(x\right)^{10} + 1225 \, a^{3} \cosh\left(x\right)^{8} - 1225 \, a^{3} \cosh\left(x\right)^{6} - 245 \, a^{3} \cosh\left(x\right)^{4} - 49 \, a^{3} \cosh\left(x\right)^{2} - 5 \, a^{3}\right)} e^{x}\right)} \sqrt{a e^{\left(4 \, x\right)} + 2 \, a e^{\left(2 \, x\right)} + a} e^{\left(-x\right)}}{4480 \, {\left(\cosh\left(x\right)^{7} e^{\left(2 \, x\right)} + {\left(e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{7} + \cosh\left(x\right)^{7} + 7 \, {\left(\cosh\left(x\right) e^{\left(2 \, x\right)} + \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} + 21 \, {\left(\cosh\left(x\right)^{2} e^{\left(2 \, x\right)} + \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{5} + 35 \, {\left(\cosh\left(x\right)^{3} e^{\left(2 \, x\right)} + \cosh\left(x\right)^{3}\right)} \sinh\left(x\right)^{4} + 35 \, {\left(\cosh\left(x\right)^{4} e^{\left(2 \, x\right)} + \cosh\left(x\right)^{4}\right)} \sinh\left(x\right)^{3} + 21 \, {\left(\cosh\left(x\right)^{5} e^{\left(2 \, x\right)} + \cosh\left(x\right)^{5}\right)} \sinh\left(x\right)^{2} + 7 \, {\left(\cosh\left(x\right)^{6} e^{\left(2 \, x\right)} + \cosh\left(x\right)^{6}\right)} \sinh\left(x\right)\right)}}"," ",0,"1/4480*(70*a^3*cosh(x)*e^x*sinh(x)^13 + 5*a^3*e^x*sinh(x)^14 + 7*(65*a^3*cosh(x)^2 + 7*a^3)*e^x*sinh(x)^12 + 28*(65*a^3*cosh(x)^3 + 21*a^3*cosh(x))*e^x*sinh(x)^11 + 7*(715*a^3*cosh(x)^4 + 462*a^3*cosh(x)^2 + 35*a^3)*e^x*sinh(x)^10 + 70*(143*a^3*cosh(x)^5 + 154*a^3*cosh(x)^3 + 35*a^3*cosh(x))*e^x*sinh(x)^9 + 35*(429*a^3*cosh(x)^6 + 693*a^3*cosh(x)^4 + 315*a^3*cosh(x)^2 + 35*a^3)*e^x*sinh(x)^8 + 8*(2145*a^3*cosh(x)^7 + 4851*a^3*cosh(x)^5 + 3675*a^3*cosh(x)^3 + 1225*a^3*cosh(x))*e^x*sinh(x)^7 + 7*(2145*a^3*cosh(x)^8 + 6468*a^3*cosh(x)^6 + 7350*a^3*cosh(x)^4 + 4900*a^3*cosh(x)^2 - 175*a^3)*e^x*sinh(x)^6 + 14*(715*a^3*cosh(x)^9 + 2772*a^3*cosh(x)^7 + 4410*a^3*cosh(x)^5 + 4900*a^3*cosh(x)^3 - 525*a^3*cosh(x))*e^x*sinh(x)^5 + 35*(143*a^3*cosh(x)^10 + 693*a^3*cosh(x)^8 + 1470*a^3*cosh(x)^6 + 2450*a^3*cosh(x)^4 - 525*a^3*cosh(x)^2 - 7*a^3)*e^x*sinh(x)^4 + 140*(13*a^3*cosh(x)^11 + 77*a^3*cosh(x)^9 + 210*a^3*cosh(x)^7 + 490*a^3*cosh(x)^5 - 175*a^3*cosh(x)^3 - 7*a^3*cosh(x))*e^x*sinh(x)^3 + 7*(65*a^3*cosh(x)^12 + 462*a^3*cosh(x)^10 + 1575*a^3*cosh(x)^8 + 4900*a^3*cosh(x)^6 - 2625*a^3*cosh(x)^4 - 210*a^3*cosh(x)^2 - 7*a^3)*e^x*sinh(x)^2 + 14*(5*a^3*cosh(x)^13 + 42*a^3*cosh(x)^11 + 175*a^3*cosh(x)^9 + 700*a^3*cosh(x)^7 - 525*a^3*cosh(x)^5 - 70*a^3*cosh(x)^3 - 7*a^3*cosh(x))*e^x*sinh(x) + (5*a^3*cosh(x)^14 + 49*a^3*cosh(x)^12 + 245*a^3*cosh(x)^10 + 1225*a^3*cosh(x)^8 - 1225*a^3*cosh(x)^6 - 245*a^3*cosh(x)^4 - 49*a^3*cosh(x)^2 - 5*a^3)*e^x)*sqrt(a*e^(4*x) + 2*a*e^(2*x) + a)*e^(-x)/(cosh(x)^7*e^(2*x) + (e^(2*x) + 1)*sinh(x)^7 + cosh(x)^7 + 7*(cosh(x)*e^(2*x) + cosh(x))*sinh(x)^6 + 21*(cosh(x)^2*e^(2*x) + cosh(x)^2)*sinh(x)^5 + 35*(cosh(x)^3*e^(2*x) + cosh(x)^3)*sinh(x)^4 + 35*(cosh(x)^4*e^(2*x) + cosh(x)^4)*sinh(x)^3 + 21*(cosh(x)^5*e^(2*x) + cosh(x)^5)*sinh(x)^2 + 7*(cosh(x)^6*e^(2*x) + cosh(x)^6)*sinh(x))","B",0
122,1,501,0,0.862283," ","integrate((a*cosh(x)^2)^(5/2),x, algorithm=""fricas"")","\frac{{\left(30 \, a^{2} \cosh\left(x\right) e^{x} \sinh\left(x\right)^{9} + 3 \, a^{2} e^{x} \sinh\left(x\right)^{10} + 5 \, {\left(27 \, a^{2} \cosh\left(x\right)^{2} + 5 \, a^{2}\right)} e^{x} \sinh\left(x\right)^{8} + 40 \, {\left(9 \, a^{2} \cosh\left(x\right)^{3} + 5 \, a^{2} \cosh\left(x\right)\right)} e^{x} \sinh\left(x\right)^{7} + 10 \, {\left(63 \, a^{2} \cosh\left(x\right)^{4} + 70 \, a^{2} \cosh\left(x\right)^{2} + 15 \, a^{2}\right)} e^{x} \sinh\left(x\right)^{6} + 4 \, {\left(189 \, a^{2} \cosh\left(x\right)^{5} + 350 \, a^{2} \cosh\left(x\right)^{3} + 225 \, a^{2} \cosh\left(x\right)\right)} e^{x} \sinh\left(x\right)^{5} + 10 \, {\left(63 \, a^{2} \cosh\left(x\right)^{6} + 175 \, a^{2} \cosh\left(x\right)^{4} + 225 \, a^{2} \cosh\left(x\right)^{2} - 15 \, a^{2}\right)} e^{x} \sinh\left(x\right)^{4} + 40 \, {\left(9 \, a^{2} \cosh\left(x\right)^{7} + 35 \, a^{2} \cosh\left(x\right)^{5} + 75 \, a^{2} \cosh\left(x\right)^{3} - 15 \, a^{2} \cosh\left(x\right)\right)} e^{x} \sinh\left(x\right)^{3} + 5 \, {\left(27 \, a^{2} \cosh\left(x\right)^{8} + 140 \, a^{2} \cosh\left(x\right)^{6} + 450 \, a^{2} \cosh\left(x\right)^{4} - 180 \, a^{2} \cosh\left(x\right)^{2} - 5 \, a^{2}\right)} e^{x} \sinh\left(x\right)^{2} + 10 \, {\left(3 \, a^{2} \cosh\left(x\right)^{9} + 20 \, a^{2} \cosh\left(x\right)^{7} + 90 \, a^{2} \cosh\left(x\right)^{5} - 60 \, a^{2} \cosh\left(x\right)^{3} - 5 \, a^{2} \cosh\left(x\right)\right)} e^{x} \sinh\left(x\right) + {\left(3 \, a^{2} \cosh\left(x\right)^{10} + 25 \, a^{2} \cosh\left(x\right)^{8} + 150 \, a^{2} \cosh\left(x\right)^{6} - 150 \, a^{2} \cosh\left(x\right)^{4} - 25 \, a^{2} \cosh\left(x\right)^{2} - 3 \, a^{2}\right)} e^{x}\right)} \sqrt{a e^{\left(4 \, x\right)} + 2 \, a e^{\left(2 \, x\right)} + a} e^{\left(-x\right)}}{480 \, {\left(\cosh\left(x\right)^{5} e^{\left(2 \, x\right)} + {\left(e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{5} + \cosh\left(x\right)^{5} + 5 \, {\left(\cosh\left(x\right) e^{\left(2 \, x\right)} + \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 10 \, {\left(\cosh\left(x\right)^{2} e^{\left(2 \, x\right)} + \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{3} + 10 \, {\left(\cosh\left(x\right)^{3} e^{\left(2 \, x\right)} + \cosh\left(x\right)^{3}\right)} \sinh\left(x\right)^{2} + 5 \, {\left(\cosh\left(x\right)^{4} e^{\left(2 \, x\right)} + \cosh\left(x\right)^{4}\right)} \sinh\left(x\right)\right)}}"," ",0,"1/480*(30*a^2*cosh(x)*e^x*sinh(x)^9 + 3*a^2*e^x*sinh(x)^10 + 5*(27*a^2*cosh(x)^2 + 5*a^2)*e^x*sinh(x)^8 + 40*(9*a^2*cosh(x)^3 + 5*a^2*cosh(x))*e^x*sinh(x)^7 + 10*(63*a^2*cosh(x)^4 + 70*a^2*cosh(x)^2 + 15*a^2)*e^x*sinh(x)^6 + 4*(189*a^2*cosh(x)^5 + 350*a^2*cosh(x)^3 + 225*a^2*cosh(x))*e^x*sinh(x)^5 + 10*(63*a^2*cosh(x)^6 + 175*a^2*cosh(x)^4 + 225*a^2*cosh(x)^2 - 15*a^2)*e^x*sinh(x)^4 + 40*(9*a^2*cosh(x)^7 + 35*a^2*cosh(x)^5 + 75*a^2*cosh(x)^3 - 15*a^2*cosh(x))*e^x*sinh(x)^3 + 5*(27*a^2*cosh(x)^8 + 140*a^2*cosh(x)^6 + 450*a^2*cosh(x)^4 - 180*a^2*cosh(x)^2 - 5*a^2)*e^x*sinh(x)^2 + 10*(3*a^2*cosh(x)^9 + 20*a^2*cosh(x)^7 + 90*a^2*cosh(x)^5 - 60*a^2*cosh(x)^3 - 5*a^2*cosh(x))*e^x*sinh(x) + (3*a^2*cosh(x)^10 + 25*a^2*cosh(x)^8 + 150*a^2*cosh(x)^6 - 150*a^2*cosh(x)^4 - 25*a^2*cosh(x)^2 - 3*a^2)*e^x)*sqrt(a*e^(4*x) + 2*a*e^(2*x) + a)*e^(-x)/(cosh(x)^5*e^(2*x) + (e^(2*x) + 1)*sinh(x)^5 + cosh(x)^5 + 5*(cosh(x)*e^(2*x) + cosh(x))*sinh(x)^4 + 10*(cosh(x)^2*e^(2*x) + cosh(x)^2)*sinh(x)^3 + 10*(cosh(x)^3*e^(2*x) + cosh(x)^3)*sinh(x)^2 + 5*(cosh(x)^4*e^(2*x) + cosh(x)^4)*sinh(x))","B",0
123,1,222,0,0.807870," ","integrate((a*cosh(x)^2)^(3/2),x, algorithm=""fricas"")","\frac{{\left(6 \, a \cosh\left(x\right) e^{x} \sinh\left(x\right)^{5} + a e^{x} \sinh\left(x\right)^{6} + 3 \, {\left(5 \, a \cosh\left(x\right)^{2} + 3 \, a\right)} e^{x} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, a \cosh\left(x\right)^{3} + 9 \, a \cosh\left(x\right)\right)} e^{x} \sinh\left(x\right)^{3} + 3 \, {\left(5 \, a \cosh\left(x\right)^{4} + 18 \, a \cosh\left(x\right)^{2} - 3 \, a\right)} e^{x} \sinh\left(x\right)^{2} + 6 \, {\left(a \cosh\left(x\right)^{5} + 6 \, a \cosh\left(x\right)^{3} - 3 \, a \cosh\left(x\right)\right)} e^{x} \sinh\left(x\right) + {\left(a \cosh\left(x\right)^{6} + 9 \, a \cosh\left(x\right)^{4} - 9 \, a \cosh\left(x\right)^{2} - a\right)} e^{x}\right)} \sqrt{a e^{\left(4 \, x\right)} + 2 \, a e^{\left(2 \, x\right)} + a} e^{\left(-x\right)}}{24 \, {\left(\cosh\left(x\right)^{3} e^{\left(2 \, x\right)} + {\left(e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{3} + \cosh\left(x\right)^{3} + 3 \, {\left(\cosh\left(x\right) e^{\left(2 \, x\right)} + \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 3 \, {\left(\cosh\left(x\right)^{2} e^{\left(2 \, x\right)} + \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)\right)}}"," ",0,"1/24*(6*a*cosh(x)*e^x*sinh(x)^5 + a*e^x*sinh(x)^6 + 3*(5*a*cosh(x)^2 + 3*a)*e^x*sinh(x)^4 + 4*(5*a*cosh(x)^3 + 9*a*cosh(x))*e^x*sinh(x)^3 + 3*(5*a*cosh(x)^4 + 18*a*cosh(x)^2 - 3*a)*e^x*sinh(x)^2 + 6*(a*cosh(x)^5 + 6*a*cosh(x)^3 - 3*a*cosh(x))*e^x*sinh(x) + (a*cosh(x)^6 + 9*a*cosh(x)^4 - 9*a*cosh(x)^2 - a)*e^x)*sqrt(a*e^(4*x) + 2*a*e^(2*x) + a)*e^(-x)/(cosh(x)^3*e^(2*x) + (e^(2*x) + 1)*sinh(x)^3 + cosh(x)^3 + 3*(cosh(x)*e^(2*x) + cosh(x))*sinh(x)^2 + 3*(cosh(x)^2*e^(2*x) + cosh(x)^2)*sinh(x))","B",0
124,1,69,0,1.055314," ","integrate((a*cosh(x)^2)^(1/2),x, algorithm=""fricas"")","\frac{{\left(2 \, \cosh\left(x\right) e^{x} \sinh\left(x\right) + e^{x} \sinh\left(x\right)^{2} + {\left(\cosh\left(x\right)^{2} - 1\right)} e^{x}\right)} \sqrt{a e^{\left(4 \, x\right)} + 2 \, a e^{\left(2 \, x\right)} + a} e^{\left(-x\right)}}{2 \, {\left(\cosh\left(x\right) e^{\left(2 \, x\right)} + {\left(e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right) + \cosh\left(x\right)\right)}}"," ",0,"1/2*(2*cosh(x)*e^x*sinh(x) + e^x*sinh(x)^2 + (cosh(x)^2 - 1)*e^x)*sqrt(a*e^(4*x) + 2*a*e^(2*x) + a)*e^(-x)/(cosh(x)*e^(2*x) + (e^(2*x) + 1)*sinh(x) + cosh(x))","B",0
125,1,186,0,1.321116," ","integrate(1/(a*cosh(x)^2)^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a} \log\left(\frac{a \cosh\left(x\right)^{2} - 2 \, \sqrt{a e^{\left(4 \, x\right)} + 2 \, a e^{\left(2 \, x\right)} + a} {\left(\cosh\left(x\right) e^{x} + e^{x} \sinh\left(x\right)\right)} \sqrt{-a} e^{\left(-x\right)} + {\left(a e^{\left(2 \, x\right)} + a\right)} \sinh\left(x\right)^{2} + {\left(a \cosh\left(x\right)^{2} - a\right)} e^{\left(2 \, x\right)} + 2 \, {\left(a \cosh\left(x\right) e^{\left(2 \, x\right)} + a \cosh\left(x\right)\right)} \sinh\left(x\right) - a}{{\left(e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{2} + \cosh\left(x\right)^{2} + {\left(\cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 2 \, {\left(\cosh\left(x\right) e^{\left(2 \, x\right)} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1}\right)}{a}, \frac{2 \, \sqrt{a e^{\left(4 \, x\right)} + 2 \, a e^{\left(2 \, x\right)} + a} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}{a e^{\left(2 \, x\right)} + a}\right]"," ",0,"[-sqrt(-a)*log((a*cosh(x)^2 - 2*sqrt(a*e^(4*x) + 2*a*e^(2*x) + a)*(cosh(x)*e^x + e^x*sinh(x))*sqrt(-a)*e^(-x) + (a*e^(2*x) + a)*sinh(x)^2 + (a*cosh(x)^2 - a)*e^(2*x) + 2*(a*cosh(x)*e^(2*x) + a*cosh(x))*sinh(x) - a)/((e^(2*x) + 1)*sinh(x)^2 + cosh(x)^2 + (cosh(x)^2 + 1)*e^(2*x) + 2*(cosh(x)*e^(2*x) + cosh(x))*sinh(x) + 1))/a, 2*sqrt(a*e^(4*x) + 2*a*e^(2*x) + a)*arctan(cosh(x) + sinh(x))/(a*e^(2*x) + a)]","B",0
126,1,299,0,1.263029," ","integrate(1/(a*cosh(x)^2)^(3/2),x, algorithm=""fricas"")","\frac{{\left(3 \, \cosh\left(x\right) e^{x} \sinh\left(x\right)^{2} + e^{x} \sinh\left(x\right)^{3} + {\left(3 \, \cosh\left(x\right)^{2} - 1\right)} e^{x} \sinh\left(x\right) + {\left(4 \, \cosh\left(x\right) e^{x} \sinh\left(x\right)^{3} + e^{x} \sinh\left(x\right)^{4} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} e^{x} \sinh\left(x\right)^{2} + 4 \, {\left(\cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{x} \sinh\left(x\right) + {\left(\cosh\left(x\right)^{4} + 2 \, \cosh\left(x\right)^{2} + 1\right)} e^{x}\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + {\left(\cosh\left(x\right)^{3} - \cosh\left(x\right)\right)} e^{x}\right)} \sqrt{a e^{\left(4 \, x\right)} + 2 \, a e^{\left(2 \, x\right)} + a} e^{\left(-x\right)}}{a^{2} \cosh\left(x\right)^{4} + {\left(a^{2} e^{\left(2 \, x\right)} + a^{2}\right)} \sinh\left(x\right)^{4} + 2 \, a^{2} \cosh\left(x\right)^{2} + 4 \, {\left(a^{2} \cosh\left(x\right) e^{\left(2 \, x\right)} + a^{2} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(3 \, a^{2} \cosh\left(x\right)^{2} + a^{2} + {\left(3 \, a^{2} \cosh\left(x\right)^{2} + a^{2}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{2} + a^{2} + {\left(a^{2} \cosh\left(x\right)^{4} + 2 \, a^{2} \cosh\left(x\right)^{2} + a^{2}\right)} e^{\left(2 \, x\right)} + 4 \, {\left(a^{2} \cosh\left(x\right)^{3} + a^{2} \cosh\left(x\right) + {\left(a^{2} \cosh\left(x\right)^{3} + a^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)}"," ",0,"(3*cosh(x)*e^x*sinh(x)^2 + e^x*sinh(x)^3 + (3*cosh(x)^2 - 1)*e^x*sinh(x) + (4*cosh(x)*e^x*sinh(x)^3 + e^x*sinh(x)^4 + 2*(3*cosh(x)^2 + 1)*e^x*sinh(x)^2 + 4*(cosh(x)^3 + cosh(x))*e^x*sinh(x) + (cosh(x)^4 + 2*cosh(x)^2 + 1)*e^x)*arctan(cosh(x) + sinh(x)) + (cosh(x)^3 - cosh(x))*e^x)*sqrt(a*e^(4*x) + 2*a*e^(2*x) + a)*e^(-x)/(a^2*cosh(x)^4 + (a^2*e^(2*x) + a^2)*sinh(x)^4 + 2*a^2*cosh(x)^2 + 4*(a^2*cosh(x)*e^(2*x) + a^2*cosh(x))*sinh(x)^3 + 2*(3*a^2*cosh(x)^2 + a^2 + (3*a^2*cosh(x)^2 + a^2)*e^(2*x))*sinh(x)^2 + a^2 + (a^2*cosh(x)^4 + 2*a^2*cosh(x)^2 + a^2)*e^(2*x) + 4*(a^2*cosh(x)^3 + a^2*cosh(x) + (a^2*cosh(x)^3 + a^2*cosh(x))*e^(2*x))*sinh(x))","B",0
127,1,837,0,1.000194," ","integrate(1/(a*cosh(x)^2)^(5/2),x, algorithm=""fricas"")","\frac{{\left(21 \, \cosh\left(x\right) e^{x} \sinh\left(x\right)^{6} + 3 \, e^{x} \sinh\left(x\right)^{7} + {\left(63 \, \cosh\left(x\right)^{2} + 11\right)} e^{x} \sinh\left(x\right)^{5} + 5 \, {\left(21 \, \cosh\left(x\right)^{3} + 11 \, \cosh\left(x\right)\right)} e^{x} \sinh\left(x\right)^{4} + {\left(105 \, \cosh\left(x\right)^{4} + 110 \, \cosh\left(x\right)^{2} - 11\right)} e^{x} \sinh\left(x\right)^{3} + {\left(63 \, \cosh\left(x\right)^{5} + 110 \, \cosh\left(x\right)^{3} - 33 \, \cosh\left(x\right)\right)} e^{x} \sinh\left(x\right)^{2} + {\left(21 \, \cosh\left(x\right)^{6} + 55 \, \cosh\left(x\right)^{4} - 33 \, \cosh\left(x\right)^{2} - 3\right)} e^{x} \sinh\left(x\right) + 3 \, {\left(8 \, \cosh\left(x\right) e^{x} \sinh\left(x\right)^{7} + e^{x} \sinh\left(x\right)^{8} + 4 \, {\left(7 \, \cosh\left(x\right)^{2} + 1\right)} e^{x} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} e^{x} \sinh\left(x\right)^{5} + 2 \, {\left(35 \, \cosh\left(x\right)^{4} + 30 \, \cosh\left(x\right)^{2} + 3\right)} e^{x} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, \cosh\left(x\right)^{5} + 10 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} e^{x} \sinh\left(x\right)^{3} + 4 \, {\left(7 \, \cosh\left(x\right)^{6} + 15 \, \cosh\left(x\right)^{4} + 9 \, \cosh\left(x\right)^{2} + 1\right)} e^{x} \sinh\left(x\right)^{2} + 8 \, {\left(\cosh\left(x\right)^{7} + 3 \, \cosh\left(x\right)^{5} + 3 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{x} \sinh\left(x\right) + {\left(\cosh\left(x\right)^{8} + 4 \, \cosh\left(x\right)^{6} + 6 \, \cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right)^{2} + 1\right)} e^{x}\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + {\left(3 \, \cosh\left(x\right)^{7} + 11 \, \cosh\left(x\right)^{5} - 11 \, \cosh\left(x\right)^{3} - 3 \, \cosh\left(x\right)\right)} e^{x}\right)} \sqrt{a e^{\left(4 \, x\right)} + 2 \, a e^{\left(2 \, x\right)} + a} e^{\left(-x\right)}}{4 \, {\left(a^{3} \cosh\left(x\right)^{8} + 4 \, a^{3} \cosh\left(x\right)^{6} + {\left(a^{3} e^{\left(2 \, x\right)} + a^{3}\right)} \sinh\left(x\right)^{8} + 8 \, {\left(a^{3} \cosh\left(x\right) e^{\left(2 \, x\right)} + a^{3} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 6 \, a^{3} \cosh\left(x\right)^{4} + 4 \, {\left(7 \, a^{3} \cosh\left(x\right)^{2} + a^{3} + {\left(7 \, a^{3} \cosh\left(x\right)^{2} + a^{3}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, a^{3} \cosh\left(x\right)^{3} + 3 \, a^{3} \cosh\left(x\right) + {\left(7 \, a^{3} \cosh\left(x\right)^{3} + 3 \, a^{3} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{5} + 4 \, a^{3} \cosh\left(x\right)^{2} + 2 \, {\left(35 \, a^{3} \cosh\left(x\right)^{4} + 30 \, a^{3} \cosh\left(x\right)^{2} + 3 \, a^{3} + {\left(35 \, a^{3} \cosh\left(x\right)^{4} + 30 \, a^{3} \cosh\left(x\right)^{2} + 3 \, a^{3}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, a^{3} \cosh\left(x\right)^{5} + 10 \, a^{3} \cosh\left(x\right)^{3} + 3 \, a^{3} \cosh\left(x\right) + {\left(7 \, a^{3} \cosh\left(x\right)^{5} + 10 \, a^{3} \cosh\left(x\right)^{3} + 3 \, a^{3} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{3} + a^{3} + 4 \, {\left(7 \, a^{3} \cosh\left(x\right)^{6} + 15 \, a^{3} \cosh\left(x\right)^{4} + 9 \, a^{3} \cosh\left(x\right)^{2} + a^{3} + {\left(7 \, a^{3} \cosh\left(x\right)^{6} + 15 \, a^{3} \cosh\left(x\right)^{4} + 9 \, a^{3} \cosh\left(x\right)^{2} + a^{3}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{2} + {\left(a^{3} \cosh\left(x\right)^{8} + 4 \, a^{3} \cosh\left(x\right)^{6} + 6 \, a^{3} \cosh\left(x\right)^{4} + 4 \, a^{3} \cosh\left(x\right)^{2} + a^{3}\right)} e^{\left(2 \, x\right)} + 8 \, {\left(a^{3} \cosh\left(x\right)^{7} + 3 \, a^{3} \cosh\left(x\right)^{5} + 3 \, a^{3} \cosh\left(x\right)^{3} + a^{3} \cosh\left(x\right) + {\left(a^{3} \cosh\left(x\right)^{7} + 3 \, a^{3} \cosh\left(x\right)^{5} + 3 \, a^{3} \cosh\left(x\right)^{3} + a^{3} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)\right)}}"," ",0,"1/4*(21*cosh(x)*e^x*sinh(x)^6 + 3*e^x*sinh(x)^7 + (63*cosh(x)^2 + 11)*e^x*sinh(x)^5 + 5*(21*cosh(x)^3 + 11*cosh(x))*e^x*sinh(x)^4 + (105*cosh(x)^4 + 110*cosh(x)^2 - 11)*e^x*sinh(x)^3 + (63*cosh(x)^5 + 110*cosh(x)^3 - 33*cosh(x))*e^x*sinh(x)^2 + (21*cosh(x)^6 + 55*cosh(x)^4 - 33*cosh(x)^2 - 3)*e^x*sinh(x) + 3*(8*cosh(x)*e^x*sinh(x)^7 + e^x*sinh(x)^8 + 4*(7*cosh(x)^2 + 1)*e^x*sinh(x)^6 + 8*(7*cosh(x)^3 + 3*cosh(x))*e^x*sinh(x)^5 + 2*(35*cosh(x)^4 + 30*cosh(x)^2 + 3)*e^x*sinh(x)^4 + 8*(7*cosh(x)^5 + 10*cosh(x)^3 + 3*cosh(x))*e^x*sinh(x)^3 + 4*(7*cosh(x)^6 + 15*cosh(x)^4 + 9*cosh(x)^2 + 1)*e^x*sinh(x)^2 + 8*(cosh(x)^7 + 3*cosh(x)^5 + 3*cosh(x)^3 + cosh(x))*e^x*sinh(x) + (cosh(x)^8 + 4*cosh(x)^6 + 6*cosh(x)^4 + 4*cosh(x)^2 + 1)*e^x)*arctan(cosh(x) + sinh(x)) + (3*cosh(x)^7 + 11*cosh(x)^5 - 11*cosh(x)^3 - 3*cosh(x))*e^x)*sqrt(a*e^(4*x) + 2*a*e^(2*x) + a)*e^(-x)/(a^3*cosh(x)^8 + 4*a^3*cosh(x)^6 + (a^3*e^(2*x) + a^3)*sinh(x)^8 + 8*(a^3*cosh(x)*e^(2*x) + a^3*cosh(x))*sinh(x)^7 + 6*a^3*cosh(x)^4 + 4*(7*a^3*cosh(x)^2 + a^3 + (7*a^3*cosh(x)^2 + a^3)*e^(2*x))*sinh(x)^6 + 8*(7*a^3*cosh(x)^3 + 3*a^3*cosh(x) + (7*a^3*cosh(x)^3 + 3*a^3*cosh(x))*e^(2*x))*sinh(x)^5 + 4*a^3*cosh(x)^2 + 2*(35*a^3*cosh(x)^4 + 30*a^3*cosh(x)^2 + 3*a^3 + (35*a^3*cosh(x)^4 + 30*a^3*cosh(x)^2 + 3*a^3)*e^(2*x))*sinh(x)^4 + 8*(7*a^3*cosh(x)^5 + 10*a^3*cosh(x)^3 + 3*a^3*cosh(x) + (7*a^3*cosh(x)^5 + 10*a^3*cosh(x)^3 + 3*a^3*cosh(x))*e^(2*x))*sinh(x)^3 + a^3 + 4*(7*a^3*cosh(x)^6 + 15*a^3*cosh(x)^4 + 9*a^3*cosh(x)^2 + a^3 + (7*a^3*cosh(x)^6 + 15*a^3*cosh(x)^4 + 9*a^3*cosh(x)^2 + a^3)*e^(2*x))*sinh(x)^2 + (a^3*cosh(x)^8 + 4*a^3*cosh(x)^6 + 6*a^3*cosh(x)^4 + 4*a^3*cosh(x)^2 + a^3)*e^(2*x) + 8*(a^3*cosh(x)^7 + 3*a^3*cosh(x)^5 + 3*a^3*cosh(x)^3 + a^3*cosh(x) + (a^3*cosh(x)^7 + 3*a^3*cosh(x)^5 + 3*a^3*cosh(x)^3 + a^3*cosh(x))*e^(2*x))*sinh(x))","B",0
128,0,0,0,1.704354," ","integrate((a*cosh(x)^3)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{a \cosh\left(x\right)^{3}} a^{2} \cosh\left(x\right)^{6}, x\right)"," ",0,"integral(sqrt(a*cosh(x)^3)*a^2*cosh(x)^6, x)","F",0
129,0,0,0,1.979707," ","integrate((a*cosh(x)^3)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{a \cosh\left(x\right)^{3}} a \cosh\left(x\right)^{3}, x\right)"," ",0,"integral(sqrt(a*cosh(x)^3)*a*cosh(x)^3, x)","F",0
130,0,0,0,0.846220," ","integrate((a*cosh(x)^3)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{a \cosh\left(x\right)^{3}}, x\right)"," ",0,"integral(sqrt(a*cosh(x)^3), x)","F",0
131,0,0,0,0.999190," ","integrate(1/(a*cosh(x)^3)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{a \cosh\left(x\right)^{3}}}{a \cosh\left(x\right)^{3}}, x\right)"," ",0,"integral(sqrt(a*cosh(x)^3)/(a*cosh(x)^3), x)","F",0
132,0,0,0,1.769180," ","integrate(1/(a*cosh(x)^3)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{a \cosh\left(x\right)^{3}}}{a^{2} \cosh\left(x\right)^{6}}, x\right)"," ",0,"integral(sqrt(a*cosh(x)^3)/(a^2*cosh(x)^6), x)","F",0
133,0,0,0,1.652042," ","integrate(1/(a*cosh(x)^3)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{a \cosh\left(x\right)^{3}}}{a^{3} \cosh\left(x\right)^{9}}, x\right)"," ",0,"integral(sqrt(a*cosh(x)^3)/(a^3*cosh(x)^9), x)","F",0
134,1,1597,0,0.867200," ","integrate((a*cosh(x)^4)^(5/2),x, algorithm=""fricas"")","\frac{{\left(40 \, a^{2} \cosh\left(x\right) e^{\left(2 \, x\right)} \sinh\left(x\right)^{19} + 2 \, a^{2} e^{\left(2 \, x\right)} \sinh\left(x\right)^{20} + 5 \, {\left(76 \, a^{2} \cosh\left(x\right)^{2} + 5 \, a^{2}\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{18} + 30 \, {\left(76 \, a^{2} \cosh\left(x\right)^{3} + 15 \, a^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{17} + 15 \, {\left(646 \, a^{2} \cosh\left(x\right)^{4} + 255 \, a^{2} \cosh\left(x\right)^{2} + 10 \, a^{2}\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{16} + 48 \, {\left(646 \, a^{2} \cosh\left(x\right)^{5} + 425 \, a^{2} \cosh\left(x\right)^{3} + 50 \, a^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{15} + 60 \, {\left(1292 \, a^{2} \cosh\left(x\right)^{6} + 1275 \, a^{2} \cosh\left(x\right)^{4} + 300 \, a^{2} \cosh\left(x\right)^{2} + 10 \, a^{2}\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{14} + 120 \, {\left(1292 \, a^{2} \cosh\left(x\right)^{7} + 1785 \, a^{2} \cosh\left(x\right)^{5} + 700 \, a^{2} \cosh\left(x\right)^{3} + 70 \, a^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{13} + 60 \, {\left(4199 \, a^{2} \cosh\left(x\right)^{8} + 7735 \, a^{2} \cosh\left(x\right)^{6} + 4550 \, a^{2} \cosh\left(x\right)^{4} + 910 \, a^{2} \cosh\left(x\right)^{2} + 35 \, a^{2}\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{12} + 80 \, {\left(4199 \, a^{2} \cosh\left(x\right)^{9} + 9945 \, a^{2} \cosh\left(x\right)^{7} + 8190 \, a^{2} \cosh\left(x\right)^{5} + 2730 \, a^{2} \cosh\left(x\right)^{3} + 315 \, a^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{11} + 2 \, {\left(184756 \, a^{2} \cosh\left(x\right)^{10} + 546975 \, a^{2} \cosh\left(x\right)^{8} + 600600 \, a^{2} \cosh\left(x\right)^{6} + 300300 \, a^{2} \cosh\left(x\right)^{4} + 69300 \, a^{2} \cosh\left(x\right)^{2} + 2520 \, a^{2} x\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{10} + 20 \, {\left(16796 \, a^{2} \cosh\left(x\right)^{11} + 60775 \, a^{2} \cosh\left(x\right)^{9} + 85800 \, a^{2} \cosh\left(x\right)^{7} + 60060 \, a^{2} \cosh\left(x\right)^{5} + 23100 \, a^{2} \cosh\left(x\right)^{3} + 2520 \, a^{2} x \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{9} + 30 \, {\left(8398 \, a^{2} \cosh\left(x\right)^{12} + 36465 \, a^{2} \cosh\left(x\right)^{10} + 64350 \, a^{2} \cosh\left(x\right)^{8} + 60060 \, a^{2} \cosh\left(x\right)^{6} + 34650 \, a^{2} \cosh\left(x\right)^{4} + 7560 \, a^{2} x \cosh\left(x\right)^{2} - 70 \, a^{2}\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{8} + 240 \, {\left(646 \, a^{2} \cosh\left(x\right)^{13} + 3315 \, a^{2} \cosh\left(x\right)^{11} + 7150 \, a^{2} \cosh\left(x\right)^{9} + 8580 \, a^{2} \cosh\left(x\right)^{7} + 6930 \, a^{2} \cosh\left(x\right)^{5} + 2520 \, a^{2} x \cosh\left(x\right)^{3} - 70 \, a^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{7} + 60 \, {\left(1292 \, a^{2} \cosh\left(x\right)^{14} + 7735 \, a^{2} \cosh\left(x\right)^{12} + 20020 \, a^{2} \cosh\left(x\right)^{10} + 30030 \, a^{2} \cosh\left(x\right)^{8} + 32340 \, a^{2} \cosh\left(x\right)^{6} + 17640 \, a^{2} x \cosh\left(x\right)^{4} - 980 \, a^{2} \cosh\left(x\right)^{2} - 10 \, a^{2}\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{6} + 24 \, {\left(1292 \, a^{2} \cosh\left(x\right)^{15} + 8925 \, a^{2} \cosh\left(x\right)^{13} + 27300 \, a^{2} \cosh\left(x\right)^{11} + 50050 \, a^{2} \cosh\left(x\right)^{9} + 69300 \, a^{2} \cosh\left(x\right)^{7} + 52920 \, a^{2} x \cosh\left(x\right)^{5} - 4900 \, a^{2} \cosh\left(x\right)^{3} - 150 \, a^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{5} + 30 \, {\left(323 \, a^{2} \cosh\left(x\right)^{16} + 2550 \, a^{2} \cosh\left(x\right)^{14} + 9100 \, a^{2} \cosh\left(x\right)^{12} + 20020 \, a^{2} \cosh\left(x\right)^{10} + 34650 \, a^{2} \cosh\left(x\right)^{8} + 35280 \, a^{2} x \cosh\left(x\right)^{6} - 4900 \, a^{2} \cosh\left(x\right)^{4} - 300 \, a^{2} \cosh\left(x\right)^{2} - 5 \, a^{2}\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{4} + 120 \, {\left(19 \, a^{2} \cosh\left(x\right)^{17} + 170 \, a^{2} \cosh\left(x\right)^{15} + 700 \, a^{2} \cosh\left(x\right)^{13} + 1820 \, a^{2} \cosh\left(x\right)^{11} + 3850 \, a^{2} \cosh\left(x\right)^{9} + 5040 \, a^{2} x \cosh\left(x\right)^{7} - 980 \, a^{2} \cosh\left(x\right)^{5} - 100 \, a^{2} \cosh\left(x\right)^{3} - 5 \, a^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{3} + 5 \, {\left(76 \, a^{2} \cosh\left(x\right)^{18} + 765 \, a^{2} \cosh\left(x\right)^{16} + 3600 \, a^{2} \cosh\left(x\right)^{14} + 10920 \, a^{2} \cosh\left(x\right)^{12} + 27720 \, a^{2} \cosh\left(x\right)^{10} + 45360 \, a^{2} x \cosh\left(x\right)^{8} - 11760 \, a^{2} \cosh\left(x\right)^{6} - 1800 \, a^{2} \cosh\left(x\right)^{4} - 180 \, a^{2} \cosh\left(x\right)^{2} - 5 \, a^{2}\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{2} + 10 \, {\left(4 \, a^{2} \cosh\left(x\right)^{19} + 45 \, a^{2} \cosh\left(x\right)^{17} + 240 \, a^{2} \cosh\left(x\right)^{15} + 840 \, a^{2} \cosh\left(x\right)^{13} + 2520 \, a^{2} \cosh\left(x\right)^{11} + 5040 \, a^{2} x \cosh\left(x\right)^{9} - 1680 \, a^{2} \cosh\left(x\right)^{7} - 360 \, a^{2} \cosh\left(x\right)^{5} - 60 \, a^{2} \cosh\left(x\right)^{3} - 5 \, a^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right) + {\left(2 \, a^{2} \cosh\left(x\right)^{20} + 25 \, a^{2} \cosh\left(x\right)^{18} + 150 \, a^{2} \cosh\left(x\right)^{16} + 600 \, a^{2} \cosh\left(x\right)^{14} + 2100 \, a^{2} \cosh\left(x\right)^{12} + 5040 \, a^{2} x \cosh\left(x\right)^{10} - 2100 \, a^{2} \cosh\left(x\right)^{8} - 600 \, a^{2} \cosh\left(x\right)^{6} - 150 \, a^{2} \cosh\left(x\right)^{4} - 25 \, a^{2} \cosh\left(x\right)^{2} - 2 \, a^{2}\right)} e^{\left(2 \, x\right)}\right)} \sqrt{a e^{\left(8 \, x\right)} + 4 \, a e^{\left(6 \, x\right)} + 6 \, a e^{\left(4 \, x\right)} + 4 \, a e^{\left(2 \, x\right)} + a} e^{\left(-2 \, x\right)}}{20480 \, {\left(\cosh\left(x\right)^{10} e^{\left(4 \, x\right)} + 2 \, \cosh\left(x\right)^{10} e^{\left(2 \, x\right)} + {\left(e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{10} + \cosh\left(x\right)^{10} + 10 \, {\left(\cosh\left(x\right) e^{\left(4 \, x\right)} + 2 \, \cosh\left(x\right) e^{\left(2 \, x\right)} + \cosh\left(x\right)\right)} \sinh\left(x\right)^{9} + 45 \, {\left(\cosh\left(x\right)^{2} e^{\left(4 \, x\right)} + 2 \, \cosh\left(x\right)^{2} e^{\left(2 \, x\right)} + \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{8} + 120 \, {\left(\cosh\left(x\right)^{3} e^{\left(4 \, x\right)} + 2 \, \cosh\left(x\right)^{3} e^{\left(2 \, x\right)} + \cosh\left(x\right)^{3}\right)} \sinh\left(x\right)^{7} + 210 \, {\left(\cosh\left(x\right)^{4} e^{\left(4 \, x\right)} + 2 \, \cosh\left(x\right)^{4} e^{\left(2 \, x\right)} + \cosh\left(x\right)^{4}\right)} \sinh\left(x\right)^{6} + 252 \, {\left(\cosh\left(x\right)^{5} e^{\left(4 \, x\right)} + 2 \, \cosh\left(x\right)^{5} e^{\left(2 \, x\right)} + \cosh\left(x\right)^{5}\right)} \sinh\left(x\right)^{5} + 210 \, {\left(\cosh\left(x\right)^{6} e^{\left(4 \, x\right)} + 2 \, \cosh\left(x\right)^{6} e^{\left(2 \, x\right)} + \cosh\left(x\right)^{6}\right)} \sinh\left(x\right)^{4} + 120 \, {\left(\cosh\left(x\right)^{7} e^{\left(4 \, x\right)} + 2 \, \cosh\left(x\right)^{7} e^{\left(2 \, x\right)} + \cosh\left(x\right)^{7}\right)} \sinh\left(x\right)^{3} + 45 \, {\left(\cosh\left(x\right)^{8} e^{\left(4 \, x\right)} + 2 \, \cosh\left(x\right)^{8} e^{\left(2 \, x\right)} + \cosh\left(x\right)^{8}\right)} \sinh\left(x\right)^{2} + 10 \, {\left(\cosh\left(x\right)^{9} e^{\left(4 \, x\right)} + 2 \, \cosh\left(x\right)^{9} e^{\left(2 \, x\right)} + \cosh\left(x\right)^{9}\right)} \sinh\left(x\right)\right)}}"," ",0,"1/20480*(40*a^2*cosh(x)*e^(2*x)*sinh(x)^19 + 2*a^2*e^(2*x)*sinh(x)^20 + 5*(76*a^2*cosh(x)^2 + 5*a^2)*e^(2*x)*sinh(x)^18 + 30*(76*a^2*cosh(x)^3 + 15*a^2*cosh(x))*e^(2*x)*sinh(x)^17 + 15*(646*a^2*cosh(x)^4 + 255*a^2*cosh(x)^2 + 10*a^2)*e^(2*x)*sinh(x)^16 + 48*(646*a^2*cosh(x)^5 + 425*a^2*cosh(x)^3 + 50*a^2*cosh(x))*e^(2*x)*sinh(x)^15 + 60*(1292*a^2*cosh(x)^6 + 1275*a^2*cosh(x)^4 + 300*a^2*cosh(x)^2 + 10*a^2)*e^(2*x)*sinh(x)^14 + 120*(1292*a^2*cosh(x)^7 + 1785*a^2*cosh(x)^5 + 700*a^2*cosh(x)^3 + 70*a^2*cosh(x))*e^(2*x)*sinh(x)^13 + 60*(4199*a^2*cosh(x)^8 + 7735*a^2*cosh(x)^6 + 4550*a^2*cosh(x)^4 + 910*a^2*cosh(x)^2 + 35*a^2)*e^(2*x)*sinh(x)^12 + 80*(4199*a^2*cosh(x)^9 + 9945*a^2*cosh(x)^7 + 8190*a^2*cosh(x)^5 + 2730*a^2*cosh(x)^3 + 315*a^2*cosh(x))*e^(2*x)*sinh(x)^11 + 2*(184756*a^2*cosh(x)^10 + 546975*a^2*cosh(x)^8 + 600600*a^2*cosh(x)^6 + 300300*a^2*cosh(x)^4 + 69300*a^2*cosh(x)^2 + 2520*a^2*x)*e^(2*x)*sinh(x)^10 + 20*(16796*a^2*cosh(x)^11 + 60775*a^2*cosh(x)^9 + 85800*a^2*cosh(x)^7 + 60060*a^2*cosh(x)^5 + 23100*a^2*cosh(x)^3 + 2520*a^2*x*cosh(x))*e^(2*x)*sinh(x)^9 + 30*(8398*a^2*cosh(x)^12 + 36465*a^2*cosh(x)^10 + 64350*a^2*cosh(x)^8 + 60060*a^2*cosh(x)^6 + 34650*a^2*cosh(x)^4 + 7560*a^2*x*cosh(x)^2 - 70*a^2)*e^(2*x)*sinh(x)^8 + 240*(646*a^2*cosh(x)^13 + 3315*a^2*cosh(x)^11 + 7150*a^2*cosh(x)^9 + 8580*a^2*cosh(x)^7 + 6930*a^2*cosh(x)^5 + 2520*a^2*x*cosh(x)^3 - 70*a^2*cosh(x))*e^(2*x)*sinh(x)^7 + 60*(1292*a^2*cosh(x)^14 + 7735*a^2*cosh(x)^12 + 20020*a^2*cosh(x)^10 + 30030*a^2*cosh(x)^8 + 32340*a^2*cosh(x)^6 + 17640*a^2*x*cosh(x)^4 - 980*a^2*cosh(x)^2 - 10*a^2)*e^(2*x)*sinh(x)^6 + 24*(1292*a^2*cosh(x)^15 + 8925*a^2*cosh(x)^13 + 27300*a^2*cosh(x)^11 + 50050*a^2*cosh(x)^9 + 69300*a^2*cosh(x)^7 + 52920*a^2*x*cosh(x)^5 - 4900*a^2*cosh(x)^3 - 150*a^2*cosh(x))*e^(2*x)*sinh(x)^5 + 30*(323*a^2*cosh(x)^16 + 2550*a^2*cosh(x)^14 + 9100*a^2*cosh(x)^12 + 20020*a^2*cosh(x)^10 + 34650*a^2*cosh(x)^8 + 35280*a^2*x*cosh(x)^6 - 4900*a^2*cosh(x)^4 - 300*a^2*cosh(x)^2 - 5*a^2)*e^(2*x)*sinh(x)^4 + 120*(19*a^2*cosh(x)^17 + 170*a^2*cosh(x)^15 + 700*a^2*cosh(x)^13 + 1820*a^2*cosh(x)^11 + 3850*a^2*cosh(x)^9 + 5040*a^2*x*cosh(x)^7 - 980*a^2*cosh(x)^5 - 100*a^2*cosh(x)^3 - 5*a^2*cosh(x))*e^(2*x)*sinh(x)^3 + 5*(76*a^2*cosh(x)^18 + 765*a^2*cosh(x)^16 + 3600*a^2*cosh(x)^14 + 10920*a^2*cosh(x)^12 + 27720*a^2*cosh(x)^10 + 45360*a^2*x*cosh(x)^8 - 11760*a^2*cosh(x)^6 - 1800*a^2*cosh(x)^4 - 180*a^2*cosh(x)^2 - 5*a^2)*e^(2*x)*sinh(x)^2 + 10*(4*a^2*cosh(x)^19 + 45*a^2*cosh(x)^17 + 240*a^2*cosh(x)^15 + 840*a^2*cosh(x)^13 + 2520*a^2*cosh(x)^11 + 5040*a^2*x*cosh(x)^9 - 1680*a^2*cosh(x)^7 - 360*a^2*cosh(x)^5 - 60*a^2*cosh(x)^3 - 5*a^2*cosh(x))*e^(2*x)*sinh(x) + (2*a^2*cosh(x)^20 + 25*a^2*cosh(x)^18 + 150*a^2*cosh(x)^16 + 600*a^2*cosh(x)^14 + 2100*a^2*cosh(x)^12 + 5040*a^2*x*cosh(x)^10 - 2100*a^2*cosh(x)^8 - 600*a^2*cosh(x)^6 - 150*a^2*cosh(x)^4 - 25*a^2*cosh(x)^2 - 2*a^2)*e^(2*x))*sqrt(a*e^(8*x) + 4*a*e^(6*x) + 6*a*e^(4*x) + 4*a*e^(2*x) + a)*e^(-2*x)/(cosh(x)^10*e^(4*x) + 2*cosh(x)^10*e^(2*x) + (e^(4*x) + 2*e^(2*x) + 1)*sinh(x)^10 + cosh(x)^10 + 10*(cosh(x)*e^(4*x) + 2*cosh(x)*e^(2*x) + cosh(x))*sinh(x)^9 + 45*(cosh(x)^2*e^(4*x) + 2*cosh(x)^2*e^(2*x) + cosh(x)^2)*sinh(x)^8 + 120*(cosh(x)^3*e^(4*x) + 2*cosh(x)^3*e^(2*x) + cosh(x)^3)*sinh(x)^7 + 210*(cosh(x)^4*e^(4*x) + 2*cosh(x)^4*e^(2*x) + cosh(x)^4)*sinh(x)^6 + 252*(cosh(x)^5*e^(4*x) + 2*cosh(x)^5*e^(2*x) + cosh(x)^5)*sinh(x)^5 + 210*(cosh(x)^6*e^(4*x) + 2*cosh(x)^6*e^(2*x) + cosh(x)^6)*sinh(x)^4 + 120*(cosh(x)^7*e^(4*x) + 2*cosh(x)^7*e^(2*x) + cosh(x)^7)*sinh(x)^3 + 45*(cosh(x)^8*e^(4*x) + 2*cosh(x)^8*e^(2*x) + cosh(x)^8)*sinh(x)^2 + 10*(cosh(x)^9*e^(4*x) + 2*cosh(x)^9*e^(2*x) + cosh(x)^9)*sinh(x))","B",0
135,1,659,0,0.829717," ","integrate((a*cosh(x)^4)^(3/2),x, algorithm=""fricas"")","\frac{{\left(12 \, a \cosh\left(x\right) e^{\left(2 \, x\right)} \sinh\left(x\right)^{11} + a e^{\left(2 \, x\right)} \sinh\left(x\right)^{12} + 3 \, {\left(22 \, a \cosh\left(x\right)^{2} + 3 \, a\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{10} + 10 \, {\left(22 \, a \cosh\left(x\right)^{3} + 9 \, a \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{9} + 45 \, {\left(11 \, a \cosh\left(x\right)^{4} + 9 \, a \cosh\left(x\right)^{2} + a\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{8} + 72 \, {\left(11 \, a \cosh\left(x\right)^{5} + 15 \, a \cosh\left(x\right)^{3} + 5 \, a \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{7} + 6 \, {\left(154 \, a \cosh\left(x\right)^{6} + 315 \, a \cosh\left(x\right)^{4} + 210 \, a \cosh\left(x\right)^{2} + 20 \, a x\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{6} + 36 \, {\left(22 \, a \cosh\left(x\right)^{7} + 63 \, a \cosh\left(x\right)^{5} + 70 \, a \cosh\left(x\right)^{3} + 20 \, a x \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{5} + 45 \, {\left(11 \, a \cosh\left(x\right)^{8} + 42 \, a \cosh\left(x\right)^{6} + 70 \, a \cosh\left(x\right)^{4} + 40 \, a x \cosh\left(x\right)^{2} - a\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{4} + 20 \, {\left(11 \, a \cosh\left(x\right)^{9} + 54 \, a \cosh\left(x\right)^{7} + 126 \, a \cosh\left(x\right)^{5} + 120 \, a x \cosh\left(x\right)^{3} - 9 \, a \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{3} + 3 \, {\left(22 \, a \cosh\left(x\right)^{10} + 135 \, a \cosh\left(x\right)^{8} + 420 \, a \cosh\left(x\right)^{6} + 600 \, a x \cosh\left(x\right)^{4} - 90 \, a \cosh\left(x\right)^{2} - 3 \, a\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{2} + 6 \, {\left(2 \, a \cosh\left(x\right)^{11} + 15 \, a \cosh\left(x\right)^{9} + 60 \, a \cosh\left(x\right)^{7} + 120 \, a x \cosh\left(x\right)^{5} - 30 \, a \cosh\left(x\right)^{3} - 3 \, a \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right) + {\left(a \cosh\left(x\right)^{12} + 9 \, a \cosh\left(x\right)^{10} + 45 \, a \cosh\left(x\right)^{8} + 120 \, a x \cosh\left(x\right)^{6} - 45 \, a \cosh\left(x\right)^{4} - 9 \, a \cosh\left(x\right)^{2} - a\right)} e^{\left(2 \, x\right)}\right)} \sqrt{a e^{\left(8 \, x\right)} + 4 \, a e^{\left(6 \, x\right)} + 6 \, a e^{\left(4 \, x\right)} + 4 \, a e^{\left(2 \, x\right)} + a} e^{\left(-2 \, x\right)}}{384 \, {\left(\cosh\left(x\right)^{6} e^{\left(4 \, x\right)} + 2 \, \cosh\left(x\right)^{6} e^{\left(2 \, x\right)} + {\left(e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{6} + \cosh\left(x\right)^{6} + 6 \, {\left(\cosh\left(x\right) e^{\left(4 \, x\right)} + 2 \, \cosh\left(x\right) e^{\left(2 \, x\right)} + \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 15 \, {\left(\cosh\left(x\right)^{2} e^{\left(4 \, x\right)} + 2 \, \cosh\left(x\right)^{2} e^{\left(2 \, x\right)} + \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 20 \, {\left(\cosh\left(x\right)^{3} e^{\left(4 \, x\right)} + 2 \, \cosh\left(x\right)^{3} e^{\left(2 \, x\right)} + \cosh\left(x\right)^{3}\right)} \sinh\left(x\right)^{3} + 15 \, {\left(\cosh\left(x\right)^{4} e^{\left(4 \, x\right)} + 2 \, \cosh\left(x\right)^{4} e^{\left(2 \, x\right)} + \cosh\left(x\right)^{4}\right)} \sinh\left(x\right)^{2} + 6 \, {\left(\cosh\left(x\right)^{5} e^{\left(4 \, x\right)} + 2 \, \cosh\left(x\right)^{5} e^{\left(2 \, x\right)} + \cosh\left(x\right)^{5}\right)} \sinh\left(x\right)\right)}}"," ",0,"1/384*(12*a*cosh(x)*e^(2*x)*sinh(x)^11 + a*e^(2*x)*sinh(x)^12 + 3*(22*a*cosh(x)^2 + 3*a)*e^(2*x)*sinh(x)^10 + 10*(22*a*cosh(x)^3 + 9*a*cosh(x))*e^(2*x)*sinh(x)^9 + 45*(11*a*cosh(x)^4 + 9*a*cosh(x)^2 + a)*e^(2*x)*sinh(x)^8 + 72*(11*a*cosh(x)^5 + 15*a*cosh(x)^3 + 5*a*cosh(x))*e^(2*x)*sinh(x)^7 + 6*(154*a*cosh(x)^6 + 315*a*cosh(x)^4 + 210*a*cosh(x)^2 + 20*a*x)*e^(2*x)*sinh(x)^6 + 36*(22*a*cosh(x)^7 + 63*a*cosh(x)^5 + 70*a*cosh(x)^3 + 20*a*x*cosh(x))*e^(2*x)*sinh(x)^5 + 45*(11*a*cosh(x)^8 + 42*a*cosh(x)^6 + 70*a*cosh(x)^4 + 40*a*x*cosh(x)^2 - a)*e^(2*x)*sinh(x)^4 + 20*(11*a*cosh(x)^9 + 54*a*cosh(x)^7 + 126*a*cosh(x)^5 + 120*a*x*cosh(x)^3 - 9*a*cosh(x))*e^(2*x)*sinh(x)^3 + 3*(22*a*cosh(x)^10 + 135*a*cosh(x)^8 + 420*a*cosh(x)^6 + 600*a*x*cosh(x)^4 - 90*a*cosh(x)^2 - 3*a)*e^(2*x)*sinh(x)^2 + 6*(2*a*cosh(x)^11 + 15*a*cosh(x)^9 + 60*a*cosh(x)^7 + 120*a*x*cosh(x)^5 - 30*a*cosh(x)^3 - 3*a*cosh(x))*e^(2*x)*sinh(x) + (a*cosh(x)^12 + 9*a*cosh(x)^10 + 45*a*cosh(x)^8 + 120*a*x*cosh(x)^6 - 45*a*cosh(x)^4 - 9*a*cosh(x)^2 - a)*e^(2*x))*sqrt(a*e^(8*x) + 4*a*e^(6*x) + 6*a*e^(4*x) + 4*a*e^(2*x) + a)*e^(-2*x)/(cosh(x)^6*e^(4*x) + 2*cosh(x)^6*e^(2*x) + (e^(4*x) + 2*e^(2*x) + 1)*sinh(x)^6 + cosh(x)^6 + 6*(cosh(x)*e^(4*x) + 2*cosh(x)*e^(2*x) + cosh(x))*sinh(x)^5 + 15*(cosh(x)^2*e^(4*x) + 2*cosh(x)^2*e^(2*x) + cosh(x)^2)*sinh(x)^4 + 20*(cosh(x)^3*e^(4*x) + 2*cosh(x)^3*e^(2*x) + cosh(x)^3)*sinh(x)^3 + 15*(cosh(x)^4*e^(4*x) + 2*cosh(x)^4*e^(2*x) + cosh(x)^4)*sinh(x)^2 + 6*(cosh(x)^5*e^(4*x) + 2*cosh(x)^5*e^(2*x) + cosh(x)^5)*sinh(x))","B",0
136,1,180,0,0.853251," ","integrate((a*cosh(x)^4)^(1/2),x, algorithm=""fricas"")","\frac{{\left(4 \, \cosh\left(x\right) e^{\left(2 \, x\right)} \sinh\left(x\right)^{3} + e^{\left(2 \, x\right)} \sinh\left(x\right)^{4} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} + 2 \, x\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{2} + 4 \, {\left(\cosh\left(x\right)^{3} + 2 \, x \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right) + {\left(\cosh\left(x\right)^{4} + 4 \, x \cosh\left(x\right)^{2} - 1\right)} e^{\left(2 \, x\right)}\right)} \sqrt{a e^{\left(8 \, x\right)} + 4 \, a e^{\left(6 \, x\right)} + 6 \, a e^{\left(4 \, x\right)} + 4 \, a e^{\left(2 \, x\right)} + a} e^{\left(-2 \, x\right)}}{8 \, {\left(\cosh\left(x\right)^{2} e^{\left(4 \, x\right)} + 2 \, \cosh\left(x\right)^{2} e^{\left(2 \, x\right)} + {\left(e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{2} + \cosh\left(x\right)^{2} + 2 \, {\left(\cosh\left(x\right) e^{\left(4 \, x\right)} + 2 \, \cosh\left(x\right) e^{\left(2 \, x\right)} + \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"1/8*(4*cosh(x)*e^(2*x)*sinh(x)^3 + e^(2*x)*sinh(x)^4 + 2*(3*cosh(x)^2 + 2*x)*e^(2*x)*sinh(x)^2 + 4*(cosh(x)^3 + 2*x*cosh(x))*e^(2*x)*sinh(x) + (cosh(x)^4 + 4*x*cosh(x)^2 - 1)*e^(2*x))*sqrt(a*e^(8*x) + 4*a*e^(6*x) + 6*a*e^(4*x) + 4*a*e^(2*x) + a)*e^(-2*x)/(cosh(x)^2*e^(4*x) + 2*cosh(x)^2*e^(2*x) + (e^(4*x) + 2*e^(2*x) + 1)*sinh(x)^2 + cosh(x)^2 + 2*(cosh(x)*e^(4*x) + 2*cosh(x)*e^(2*x) + cosh(x))*sinh(x))","B",0
137,1,116,0,2.327550," ","integrate(1/(a*cosh(x)^4)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{a e^{\left(8 \, x\right)} + 4 \, a e^{\left(6 \, x\right)} + 6 \, a e^{\left(4 \, x\right)} + 4 \, a e^{\left(2 \, x\right)} + a}}{a \cosh\left(x\right)^{2} + {\left(a e^{\left(4 \, x\right)} + 2 \, a e^{\left(2 \, x\right)} + a\right)} \sinh\left(x\right)^{2} + {\left(a \cosh\left(x\right)^{2} + a\right)} e^{\left(4 \, x\right)} + 2 \, {\left(a \cosh\left(x\right)^{2} + a\right)} e^{\left(2 \, x\right)} + 2 \, {\left(a \cosh\left(x\right) e^{\left(4 \, x\right)} + 2 \, a \cosh\left(x\right) e^{\left(2 \, x\right)} + a \cosh\left(x\right)\right)} \sinh\left(x\right) + a}"," ",0,"-2*sqrt(a*e^(8*x) + 4*a*e^(6*x) + 6*a*e^(4*x) + 4*a*e^(2*x) + a)/(a*cosh(x)^2 + (a*e^(4*x) + 2*a*e^(2*x) + a)*sinh(x)^2 + (a*cosh(x)^2 + a)*e^(4*x) + 2*(a*cosh(x)^2 + a)*e^(2*x) + 2*(a*cosh(x)*e^(4*x) + 2*a*cosh(x)*e^(2*x) + a*cosh(x))*sinh(x) + a)","B",0
138,1,1137,0,1.328597," ","integrate(1/(a*cosh(x)^4)^(3/2),x, algorithm=""fricas"")","-\frac{16 \, {\left(40 \, \cosh\left(x\right) e^{\left(2 \, x\right)} \sinh\left(x\right)^{3} + 10 \, e^{\left(2 \, x\right)} \sinh\left(x\right)^{4} + 5 \, {\left(12 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{2} + 10 \, {\left(4 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right) + {\left(10 \, \cosh\left(x\right)^{4} + 5 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)}\right)} \sqrt{a e^{\left(8 \, x\right)} + 4 \, a e^{\left(6 \, x\right)} + 6 \, a e^{\left(4 \, x\right)} + 4 \, a e^{\left(2 \, x\right)} + a} e^{\left(-2 \, x\right)}}{15 \, {\left(a^{2} \cosh\left(x\right)^{10} + {\left(a^{2} e^{\left(4 \, x\right)} + 2 \, a^{2} e^{\left(2 \, x\right)} + a^{2}\right)} \sinh\left(x\right)^{10} + 5 \, a^{2} \cosh\left(x\right)^{8} + 10 \, {\left(a^{2} \cosh\left(x\right) e^{\left(4 \, x\right)} + 2 \, a^{2} \cosh\left(x\right) e^{\left(2 \, x\right)} + a^{2} \cosh\left(x\right)\right)} \sinh\left(x\right)^{9} + 5 \, {\left(9 \, a^{2} \cosh\left(x\right)^{2} + a^{2} + {\left(9 \, a^{2} \cosh\left(x\right)^{2} + a^{2}\right)} e^{\left(4 \, x\right)} + 2 \, {\left(9 \, a^{2} \cosh\left(x\right)^{2} + a^{2}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{8} + 10 \, a^{2} \cosh\left(x\right)^{6} + 40 \, {\left(3 \, a^{2} \cosh\left(x\right)^{3} + a^{2} \cosh\left(x\right) + {\left(3 \, a^{2} \cosh\left(x\right)^{3} + a^{2} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(3 \, a^{2} \cosh\left(x\right)^{3} + a^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{7} + 10 \, {\left(21 \, a^{2} \cosh\left(x\right)^{4} + 14 \, a^{2} \cosh\left(x\right)^{2} + a^{2} + {\left(21 \, a^{2} \cosh\left(x\right)^{4} + 14 \, a^{2} \cosh\left(x\right)^{2} + a^{2}\right)} e^{\left(4 \, x\right)} + 2 \, {\left(21 \, a^{2} \cosh\left(x\right)^{4} + 14 \, a^{2} \cosh\left(x\right)^{2} + a^{2}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{6} + 10 \, a^{2} \cosh\left(x\right)^{4} + 4 \, {\left(63 \, a^{2} \cosh\left(x\right)^{5} + 70 \, a^{2} \cosh\left(x\right)^{3} + 15 \, a^{2} \cosh\left(x\right) + {\left(63 \, a^{2} \cosh\left(x\right)^{5} + 70 \, a^{2} \cosh\left(x\right)^{3} + 15 \, a^{2} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(63 \, a^{2} \cosh\left(x\right)^{5} + 70 \, a^{2} \cosh\left(x\right)^{3} + 15 \, a^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{5} + 10 \, {\left(21 \, a^{2} \cosh\left(x\right)^{6} + 35 \, a^{2} \cosh\left(x\right)^{4} + 15 \, a^{2} \cosh\left(x\right)^{2} + a^{2} + {\left(21 \, a^{2} \cosh\left(x\right)^{6} + 35 \, a^{2} \cosh\left(x\right)^{4} + 15 \, a^{2} \cosh\left(x\right)^{2} + a^{2}\right)} e^{\left(4 \, x\right)} + 2 \, {\left(21 \, a^{2} \cosh\left(x\right)^{6} + 35 \, a^{2} \cosh\left(x\right)^{4} + 15 \, a^{2} \cosh\left(x\right)^{2} + a^{2}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{4} + 5 \, a^{2} \cosh\left(x\right)^{2} + 40 \, {\left(3 \, a^{2} \cosh\left(x\right)^{7} + 7 \, a^{2} \cosh\left(x\right)^{5} + 5 \, a^{2} \cosh\left(x\right)^{3} + a^{2} \cosh\left(x\right) + {\left(3 \, a^{2} \cosh\left(x\right)^{7} + 7 \, a^{2} \cosh\left(x\right)^{5} + 5 \, a^{2} \cosh\left(x\right)^{3} + a^{2} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(3 \, a^{2} \cosh\left(x\right)^{7} + 7 \, a^{2} \cosh\left(x\right)^{5} + 5 \, a^{2} \cosh\left(x\right)^{3} + a^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{3} + 5 \, {\left(9 \, a^{2} \cosh\left(x\right)^{8} + 28 \, a^{2} \cosh\left(x\right)^{6} + 30 \, a^{2} \cosh\left(x\right)^{4} + 12 \, a^{2} \cosh\left(x\right)^{2} + a^{2} + {\left(9 \, a^{2} \cosh\left(x\right)^{8} + 28 \, a^{2} \cosh\left(x\right)^{6} + 30 \, a^{2} \cosh\left(x\right)^{4} + 12 \, a^{2} \cosh\left(x\right)^{2} + a^{2}\right)} e^{\left(4 \, x\right)} + 2 \, {\left(9 \, a^{2} \cosh\left(x\right)^{8} + 28 \, a^{2} \cosh\left(x\right)^{6} + 30 \, a^{2} \cosh\left(x\right)^{4} + 12 \, a^{2} \cosh\left(x\right)^{2} + a^{2}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{2} + a^{2} + {\left(a^{2} \cosh\left(x\right)^{10} + 5 \, a^{2} \cosh\left(x\right)^{8} + 10 \, a^{2} \cosh\left(x\right)^{6} + 10 \, a^{2} \cosh\left(x\right)^{4} + 5 \, a^{2} \cosh\left(x\right)^{2} + a^{2}\right)} e^{\left(4 \, x\right)} + 2 \, {\left(a^{2} \cosh\left(x\right)^{10} + 5 \, a^{2} \cosh\left(x\right)^{8} + 10 \, a^{2} \cosh\left(x\right)^{6} + 10 \, a^{2} \cosh\left(x\right)^{4} + 5 \, a^{2} \cosh\left(x\right)^{2} + a^{2}\right)} e^{\left(2 \, x\right)} + 10 \, {\left(a^{2} \cosh\left(x\right)^{9} + 4 \, a^{2} \cosh\left(x\right)^{7} + 6 \, a^{2} \cosh\left(x\right)^{5} + 4 \, a^{2} \cosh\left(x\right)^{3} + a^{2} \cosh\left(x\right) + {\left(a^{2} \cosh\left(x\right)^{9} + 4 \, a^{2} \cosh\left(x\right)^{7} + 6 \, a^{2} \cosh\left(x\right)^{5} + 4 \, a^{2} \cosh\left(x\right)^{3} + a^{2} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(a^{2} \cosh\left(x\right)^{9} + 4 \, a^{2} \cosh\left(x\right)^{7} + 6 \, a^{2} \cosh\left(x\right)^{5} + 4 \, a^{2} \cosh\left(x\right)^{3} + a^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)\right)}}"," ",0,"-16/15*(40*cosh(x)*e^(2*x)*sinh(x)^3 + 10*e^(2*x)*sinh(x)^4 + 5*(12*cosh(x)^2 + 1)*e^(2*x)*sinh(x)^2 + 10*(4*cosh(x)^3 + cosh(x))*e^(2*x)*sinh(x) + (10*cosh(x)^4 + 5*cosh(x)^2 + 1)*e^(2*x))*sqrt(a*e^(8*x) + 4*a*e^(6*x) + 6*a*e^(4*x) + 4*a*e^(2*x) + a)*e^(-2*x)/(a^2*cosh(x)^10 + (a^2*e^(4*x) + 2*a^2*e^(2*x) + a^2)*sinh(x)^10 + 5*a^2*cosh(x)^8 + 10*(a^2*cosh(x)*e^(4*x) + 2*a^2*cosh(x)*e^(2*x) + a^2*cosh(x))*sinh(x)^9 + 5*(9*a^2*cosh(x)^2 + a^2 + (9*a^2*cosh(x)^2 + a^2)*e^(4*x) + 2*(9*a^2*cosh(x)^2 + a^2)*e^(2*x))*sinh(x)^8 + 10*a^2*cosh(x)^6 + 40*(3*a^2*cosh(x)^3 + a^2*cosh(x) + (3*a^2*cosh(x)^3 + a^2*cosh(x))*e^(4*x) + 2*(3*a^2*cosh(x)^3 + a^2*cosh(x))*e^(2*x))*sinh(x)^7 + 10*(21*a^2*cosh(x)^4 + 14*a^2*cosh(x)^2 + a^2 + (21*a^2*cosh(x)^4 + 14*a^2*cosh(x)^2 + a^2)*e^(4*x) + 2*(21*a^2*cosh(x)^4 + 14*a^2*cosh(x)^2 + a^2)*e^(2*x))*sinh(x)^6 + 10*a^2*cosh(x)^4 + 4*(63*a^2*cosh(x)^5 + 70*a^2*cosh(x)^3 + 15*a^2*cosh(x) + (63*a^2*cosh(x)^5 + 70*a^2*cosh(x)^3 + 15*a^2*cosh(x))*e^(4*x) + 2*(63*a^2*cosh(x)^5 + 70*a^2*cosh(x)^3 + 15*a^2*cosh(x))*e^(2*x))*sinh(x)^5 + 10*(21*a^2*cosh(x)^6 + 35*a^2*cosh(x)^4 + 15*a^2*cosh(x)^2 + a^2 + (21*a^2*cosh(x)^6 + 35*a^2*cosh(x)^4 + 15*a^2*cosh(x)^2 + a^2)*e^(4*x) + 2*(21*a^2*cosh(x)^6 + 35*a^2*cosh(x)^4 + 15*a^2*cosh(x)^2 + a^2)*e^(2*x))*sinh(x)^4 + 5*a^2*cosh(x)^2 + 40*(3*a^2*cosh(x)^7 + 7*a^2*cosh(x)^5 + 5*a^2*cosh(x)^3 + a^2*cosh(x) + (3*a^2*cosh(x)^7 + 7*a^2*cosh(x)^5 + 5*a^2*cosh(x)^3 + a^2*cosh(x))*e^(4*x) + 2*(3*a^2*cosh(x)^7 + 7*a^2*cosh(x)^5 + 5*a^2*cosh(x)^3 + a^2*cosh(x))*e^(2*x))*sinh(x)^3 + 5*(9*a^2*cosh(x)^8 + 28*a^2*cosh(x)^6 + 30*a^2*cosh(x)^4 + 12*a^2*cosh(x)^2 + a^2 + (9*a^2*cosh(x)^8 + 28*a^2*cosh(x)^6 + 30*a^2*cosh(x)^4 + 12*a^2*cosh(x)^2 + a^2)*e^(4*x) + 2*(9*a^2*cosh(x)^8 + 28*a^2*cosh(x)^6 + 30*a^2*cosh(x)^4 + 12*a^2*cosh(x)^2 + a^2)*e^(2*x))*sinh(x)^2 + a^2 + (a^2*cosh(x)^10 + 5*a^2*cosh(x)^8 + 10*a^2*cosh(x)^6 + 10*a^2*cosh(x)^4 + 5*a^2*cosh(x)^2 + a^2)*e^(4*x) + 2*(a^2*cosh(x)^10 + 5*a^2*cosh(x)^8 + 10*a^2*cosh(x)^6 + 10*a^2*cosh(x)^4 + 5*a^2*cosh(x)^2 + a^2)*e^(2*x) + 10*(a^2*cosh(x)^9 + 4*a^2*cosh(x)^7 + 6*a^2*cosh(x)^5 + 4*a^2*cosh(x)^3 + a^2*cosh(x) + (a^2*cosh(x)^9 + 4*a^2*cosh(x)^7 + 6*a^2*cosh(x)^5 + 4*a^2*cosh(x)^3 + a^2*cosh(x))*e^(4*x) + 2*(a^2*cosh(x)^9 + 4*a^2*cosh(x)^7 + 6*a^2*cosh(x)^5 + 4*a^2*cosh(x)^3 + a^2*cosh(x))*e^(2*x))*sinh(x))","B",0
139,1,3065,0,0.642040," ","integrate(1/(a*cosh(x)^4)^(5/2),x, algorithm=""fricas"")","-\frac{256 \, {\left(1008 \, \cosh\left(x\right) e^{\left(2 \, x\right)} \sinh\left(x\right)^{7} + 126 \, e^{\left(2 \, x\right)} \sinh\left(x\right)^{8} + 84 \, {\left(42 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{6} + 504 \, {\left(14 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{5} + 36 \, {\left(245 \, \cosh\left(x\right)^{4} + 35 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{4} + 48 \, {\left(147 \, \cosh\left(x\right)^{5} + 35 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{3} + 9 \, {\left(392 \, \cosh\left(x\right)^{6} + 140 \, \cosh\left(x\right)^{4} + 24 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{2} + 18 \, {\left(56 \, \cosh\left(x\right)^{7} + 28 \, \cosh\left(x\right)^{5} + 8 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right) + {\left(126 \, \cosh\left(x\right)^{8} + 84 \, \cosh\left(x\right)^{6} + 36 \, \cosh\left(x\right)^{4} + 9 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)}\right)} \sqrt{a e^{\left(8 \, x\right)} + 4 \, a e^{\left(6 \, x\right)} + 6 \, a e^{\left(4 \, x\right)} + 4 \, a e^{\left(2 \, x\right)} + a} e^{\left(-2 \, x\right)}}{315 \, {\left(a^{3} \cosh\left(x\right)^{18} + 9 \, a^{3} \cosh\left(x\right)^{16} + {\left(a^{3} e^{\left(4 \, x\right)} + 2 \, a^{3} e^{\left(2 \, x\right)} + a^{3}\right)} \sinh\left(x\right)^{18} + 18 \, {\left(a^{3} \cosh\left(x\right) e^{\left(4 \, x\right)} + 2 \, a^{3} \cosh\left(x\right) e^{\left(2 \, x\right)} + a^{3} \cosh\left(x\right)\right)} \sinh\left(x\right)^{17} + 36 \, a^{3} \cosh\left(x\right)^{14} + 9 \, {\left(17 \, a^{3} \cosh\left(x\right)^{2} + a^{3} + {\left(17 \, a^{3} \cosh\left(x\right)^{2} + a^{3}\right)} e^{\left(4 \, x\right)} + 2 \, {\left(17 \, a^{3} \cosh\left(x\right)^{2} + a^{3}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{16} + 48 \, {\left(17 \, a^{3} \cosh\left(x\right)^{3} + 3 \, a^{3} \cosh\left(x\right) + {\left(17 \, a^{3} \cosh\left(x\right)^{3} + 3 \, a^{3} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(17 \, a^{3} \cosh\left(x\right)^{3} + 3 \, a^{3} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{15} + 84 \, a^{3} \cosh\left(x\right)^{12} + 36 \, {\left(85 \, a^{3} \cosh\left(x\right)^{4} + 30 \, a^{3} \cosh\left(x\right)^{2} + a^{3} + {\left(85 \, a^{3} \cosh\left(x\right)^{4} + 30 \, a^{3} \cosh\left(x\right)^{2} + a^{3}\right)} e^{\left(4 \, x\right)} + 2 \, {\left(85 \, a^{3} \cosh\left(x\right)^{4} + 30 \, a^{3} \cosh\left(x\right)^{2} + a^{3}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{14} + 504 \, {\left(17 \, a^{3} \cosh\left(x\right)^{5} + 10 \, a^{3} \cosh\left(x\right)^{3} + a^{3} \cosh\left(x\right) + {\left(17 \, a^{3} \cosh\left(x\right)^{5} + 10 \, a^{3} \cosh\left(x\right)^{3} + a^{3} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(17 \, a^{3} \cosh\left(x\right)^{5} + 10 \, a^{3} \cosh\left(x\right)^{3} + a^{3} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{13} + 126 \, a^{3} \cosh\left(x\right)^{10} + 84 \, {\left(221 \, a^{3} \cosh\left(x\right)^{6} + 195 \, a^{3} \cosh\left(x\right)^{4} + 39 \, a^{3} \cosh\left(x\right)^{2} + a^{3} + {\left(221 \, a^{3} \cosh\left(x\right)^{6} + 195 \, a^{3} \cosh\left(x\right)^{4} + 39 \, a^{3} \cosh\left(x\right)^{2} + a^{3}\right)} e^{\left(4 \, x\right)} + 2 \, {\left(221 \, a^{3} \cosh\left(x\right)^{6} + 195 \, a^{3} \cosh\left(x\right)^{4} + 39 \, a^{3} \cosh\left(x\right)^{2} + a^{3}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{12} + 144 \, {\left(221 \, a^{3} \cosh\left(x\right)^{7} + 273 \, a^{3} \cosh\left(x\right)^{5} + 91 \, a^{3} \cosh\left(x\right)^{3} + 7 \, a^{3} \cosh\left(x\right) + {\left(221 \, a^{3} \cosh\left(x\right)^{7} + 273 \, a^{3} \cosh\left(x\right)^{5} + 91 \, a^{3} \cosh\left(x\right)^{3} + 7 \, a^{3} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(221 \, a^{3} \cosh\left(x\right)^{7} + 273 \, a^{3} \cosh\left(x\right)^{5} + 91 \, a^{3} \cosh\left(x\right)^{3} + 7 \, a^{3} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{11} + 126 \, a^{3} \cosh\left(x\right)^{8} + 18 \, {\left(2431 \, a^{3} \cosh\left(x\right)^{8} + 4004 \, a^{3} \cosh\left(x\right)^{6} + 2002 \, a^{3} \cosh\left(x\right)^{4} + 308 \, a^{3} \cosh\left(x\right)^{2} + 7 \, a^{3} + {\left(2431 \, a^{3} \cosh\left(x\right)^{8} + 4004 \, a^{3} \cosh\left(x\right)^{6} + 2002 \, a^{3} \cosh\left(x\right)^{4} + 308 \, a^{3} \cosh\left(x\right)^{2} + 7 \, a^{3}\right)} e^{\left(4 \, x\right)} + 2 \, {\left(2431 \, a^{3} \cosh\left(x\right)^{8} + 4004 \, a^{3} \cosh\left(x\right)^{6} + 2002 \, a^{3} \cosh\left(x\right)^{4} + 308 \, a^{3} \cosh\left(x\right)^{2} + 7 \, a^{3}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{10} + 4 \, {\left(12155 \, a^{3} \cosh\left(x\right)^{9} + 25740 \, a^{3} \cosh\left(x\right)^{7} + 18018 \, a^{3} \cosh\left(x\right)^{5} + 4620 \, a^{3} \cosh\left(x\right)^{3} + 315 \, a^{3} \cosh\left(x\right) + {\left(12155 \, a^{3} \cosh\left(x\right)^{9} + 25740 \, a^{3} \cosh\left(x\right)^{7} + 18018 \, a^{3} \cosh\left(x\right)^{5} + 4620 \, a^{3} \cosh\left(x\right)^{3} + 315 \, a^{3} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(12155 \, a^{3} \cosh\left(x\right)^{9} + 25740 \, a^{3} \cosh\left(x\right)^{7} + 18018 \, a^{3} \cosh\left(x\right)^{5} + 4620 \, a^{3} \cosh\left(x\right)^{3} + 315 \, a^{3} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{9} + 84 \, a^{3} \cosh\left(x\right)^{6} + 18 \, {\left(2431 \, a^{3} \cosh\left(x\right)^{10} + 6435 \, a^{3} \cosh\left(x\right)^{8} + 6006 \, a^{3} \cosh\left(x\right)^{6} + 2310 \, a^{3} \cosh\left(x\right)^{4} + 315 \, a^{3} \cosh\left(x\right)^{2} + 7 \, a^{3} + {\left(2431 \, a^{3} \cosh\left(x\right)^{10} + 6435 \, a^{3} \cosh\left(x\right)^{8} + 6006 \, a^{3} \cosh\left(x\right)^{6} + 2310 \, a^{3} \cosh\left(x\right)^{4} + 315 \, a^{3} \cosh\left(x\right)^{2} + 7 \, a^{3}\right)} e^{\left(4 \, x\right)} + 2 \, {\left(2431 \, a^{3} \cosh\left(x\right)^{10} + 6435 \, a^{3} \cosh\left(x\right)^{8} + 6006 \, a^{3} \cosh\left(x\right)^{6} + 2310 \, a^{3} \cosh\left(x\right)^{4} + 315 \, a^{3} \cosh\left(x\right)^{2} + 7 \, a^{3}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{8} + 144 \, {\left(221 \, a^{3} \cosh\left(x\right)^{11} + 715 \, a^{3} \cosh\left(x\right)^{9} + 858 \, a^{3} \cosh\left(x\right)^{7} + 462 \, a^{3} \cosh\left(x\right)^{5} + 105 \, a^{3} \cosh\left(x\right)^{3} + 7 \, a^{3} \cosh\left(x\right) + {\left(221 \, a^{3} \cosh\left(x\right)^{11} + 715 \, a^{3} \cosh\left(x\right)^{9} + 858 \, a^{3} \cosh\left(x\right)^{7} + 462 \, a^{3} \cosh\left(x\right)^{5} + 105 \, a^{3} \cosh\left(x\right)^{3} + 7 \, a^{3} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(221 \, a^{3} \cosh\left(x\right)^{11} + 715 \, a^{3} \cosh\left(x\right)^{9} + 858 \, a^{3} \cosh\left(x\right)^{7} + 462 \, a^{3} \cosh\left(x\right)^{5} + 105 \, a^{3} \cosh\left(x\right)^{3} + 7 \, a^{3} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{7} + 36 \, a^{3} \cosh\left(x\right)^{4} + 84 \, {\left(221 \, a^{3} \cosh\left(x\right)^{12} + 858 \, a^{3} \cosh\left(x\right)^{10} + 1287 \, a^{3} \cosh\left(x\right)^{8} + 924 \, a^{3} \cosh\left(x\right)^{6} + 315 \, a^{3} \cosh\left(x\right)^{4} + 42 \, a^{3} \cosh\left(x\right)^{2} + a^{3} + {\left(221 \, a^{3} \cosh\left(x\right)^{12} + 858 \, a^{3} \cosh\left(x\right)^{10} + 1287 \, a^{3} \cosh\left(x\right)^{8} + 924 \, a^{3} \cosh\left(x\right)^{6} + 315 \, a^{3} \cosh\left(x\right)^{4} + 42 \, a^{3} \cosh\left(x\right)^{2} + a^{3}\right)} e^{\left(4 \, x\right)} + 2 \, {\left(221 \, a^{3} \cosh\left(x\right)^{12} + 858 \, a^{3} \cosh\left(x\right)^{10} + 1287 \, a^{3} \cosh\left(x\right)^{8} + 924 \, a^{3} \cosh\left(x\right)^{6} + 315 \, a^{3} \cosh\left(x\right)^{4} + 42 \, a^{3} \cosh\left(x\right)^{2} + a^{3}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{6} + 504 \, {\left(17 \, a^{3} \cosh\left(x\right)^{13} + 78 \, a^{3} \cosh\left(x\right)^{11} + 143 \, a^{3} \cosh\left(x\right)^{9} + 132 \, a^{3} \cosh\left(x\right)^{7} + 63 \, a^{3} \cosh\left(x\right)^{5} + 14 \, a^{3} \cosh\left(x\right)^{3} + a^{3} \cosh\left(x\right) + {\left(17 \, a^{3} \cosh\left(x\right)^{13} + 78 \, a^{3} \cosh\left(x\right)^{11} + 143 \, a^{3} \cosh\left(x\right)^{9} + 132 \, a^{3} \cosh\left(x\right)^{7} + 63 \, a^{3} \cosh\left(x\right)^{5} + 14 \, a^{3} \cosh\left(x\right)^{3} + a^{3} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(17 \, a^{3} \cosh\left(x\right)^{13} + 78 \, a^{3} \cosh\left(x\right)^{11} + 143 \, a^{3} \cosh\left(x\right)^{9} + 132 \, a^{3} \cosh\left(x\right)^{7} + 63 \, a^{3} \cosh\left(x\right)^{5} + 14 \, a^{3} \cosh\left(x\right)^{3} + a^{3} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{5} + 9 \, a^{3} \cosh\left(x\right)^{2} + 36 \, {\left(85 \, a^{3} \cosh\left(x\right)^{14} + 455 \, a^{3} \cosh\left(x\right)^{12} + 1001 \, a^{3} \cosh\left(x\right)^{10} + 1155 \, a^{3} \cosh\left(x\right)^{8} + 735 \, a^{3} \cosh\left(x\right)^{6} + 245 \, a^{3} \cosh\left(x\right)^{4} + 35 \, a^{3} \cosh\left(x\right)^{2} + a^{3} + {\left(85 \, a^{3} \cosh\left(x\right)^{14} + 455 \, a^{3} \cosh\left(x\right)^{12} + 1001 \, a^{3} \cosh\left(x\right)^{10} + 1155 \, a^{3} \cosh\left(x\right)^{8} + 735 \, a^{3} \cosh\left(x\right)^{6} + 245 \, a^{3} \cosh\left(x\right)^{4} + 35 \, a^{3} \cosh\left(x\right)^{2} + a^{3}\right)} e^{\left(4 \, x\right)} + 2 \, {\left(85 \, a^{3} \cosh\left(x\right)^{14} + 455 \, a^{3} \cosh\left(x\right)^{12} + 1001 \, a^{3} \cosh\left(x\right)^{10} + 1155 \, a^{3} \cosh\left(x\right)^{8} + 735 \, a^{3} \cosh\left(x\right)^{6} + 245 \, a^{3} \cosh\left(x\right)^{4} + 35 \, a^{3} \cosh\left(x\right)^{2} + a^{3}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{4} + 48 \, {\left(17 \, a^{3} \cosh\left(x\right)^{15} + 105 \, a^{3} \cosh\left(x\right)^{13} + 273 \, a^{3} \cosh\left(x\right)^{11} + 385 \, a^{3} \cosh\left(x\right)^{9} + 315 \, a^{3} \cosh\left(x\right)^{7} + 147 \, a^{3} \cosh\left(x\right)^{5} + 35 \, a^{3} \cosh\left(x\right)^{3} + 3 \, a^{3} \cosh\left(x\right) + {\left(17 \, a^{3} \cosh\left(x\right)^{15} + 105 \, a^{3} \cosh\left(x\right)^{13} + 273 \, a^{3} \cosh\left(x\right)^{11} + 385 \, a^{3} \cosh\left(x\right)^{9} + 315 \, a^{3} \cosh\left(x\right)^{7} + 147 \, a^{3} \cosh\left(x\right)^{5} + 35 \, a^{3} \cosh\left(x\right)^{3} + 3 \, a^{3} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(17 \, a^{3} \cosh\left(x\right)^{15} + 105 \, a^{3} \cosh\left(x\right)^{13} + 273 \, a^{3} \cosh\left(x\right)^{11} + 385 \, a^{3} \cosh\left(x\right)^{9} + 315 \, a^{3} \cosh\left(x\right)^{7} + 147 \, a^{3} \cosh\left(x\right)^{5} + 35 \, a^{3} \cosh\left(x\right)^{3} + 3 \, a^{3} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{3} + a^{3} + 9 \, {\left(17 \, a^{3} \cosh\left(x\right)^{16} + 120 \, a^{3} \cosh\left(x\right)^{14} + 364 \, a^{3} \cosh\left(x\right)^{12} + 616 \, a^{3} \cosh\left(x\right)^{10} + 630 \, a^{3} \cosh\left(x\right)^{8} + 392 \, a^{3} \cosh\left(x\right)^{6} + 140 \, a^{3} \cosh\left(x\right)^{4} + 24 \, a^{3} \cosh\left(x\right)^{2} + a^{3} + {\left(17 \, a^{3} \cosh\left(x\right)^{16} + 120 \, a^{3} \cosh\left(x\right)^{14} + 364 \, a^{3} \cosh\left(x\right)^{12} + 616 \, a^{3} \cosh\left(x\right)^{10} + 630 \, a^{3} \cosh\left(x\right)^{8} + 392 \, a^{3} \cosh\left(x\right)^{6} + 140 \, a^{3} \cosh\left(x\right)^{4} + 24 \, a^{3} \cosh\left(x\right)^{2} + a^{3}\right)} e^{\left(4 \, x\right)} + 2 \, {\left(17 \, a^{3} \cosh\left(x\right)^{16} + 120 \, a^{3} \cosh\left(x\right)^{14} + 364 \, a^{3} \cosh\left(x\right)^{12} + 616 \, a^{3} \cosh\left(x\right)^{10} + 630 \, a^{3} \cosh\left(x\right)^{8} + 392 \, a^{3} \cosh\left(x\right)^{6} + 140 \, a^{3} \cosh\left(x\right)^{4} + 24 \, a^{3} \cosh\left(x\right)^{2} + a^{3}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{2} + {\left(a^{3} \cosh\left(x\right)^{18} + 9 \, a^{3} \cosh\left(x\right)^{16} + 36 \, a^{3} \cosh\left(x\right)^{14} + 84 \, a^{3} \cosh\left(x\right)^{12} + 126 \, a^{3} \cosh\left(x\right)^{10} + 126 \, a^{3} \cosh\left(x\right)^{8} + 84 \, a^{3} \cosh\left(x\right)^{6} + 36 \, a^{3} \cosh\left(x\right)^{4} + 9 \, a^{3} \cosh\left(x\right)^{2} + a^{3}\right)} e^{\left(4 \, x\right)} + 2 \, {\left(a^{3} \cosh\left(x\right)^{18} + 9 \, a^{3} \cosh\left(x\right)^{16} + 36 \, a^{3} \cosh\left(x\right)^{14} + 84 \, a^{3} \cosh\left(x\right)^{12} + 126 \, a^{3} \cosh\left(x\right)^{10} + 126 \, a^{3} \cosh\left(x\right)^{8} + 84 \, a^{3} \cosh\left(x\right)^{6} + 36 \, a^{3} \cosh\left(x\right)^{4} + 9 \, a^{3} \cosh\left(x\right)^{2} + a^{3}\right)} e^{\left(2 \, x\right)} + 18 \, {\left(a^{3} \cosh\left(x\right)^{17} + 8 \, a^{3} \cosh\left(x\right)^{15} + 28 \, a^{3} \cosh\left(x\right)^{13} + 56 \, a^{3} \cosh\left(x\right)^{11} + 70 \, a^{3} \cosh\left(x\right)^{9} + 56 \, a^{3} \cosh\left(x\right)^{7} + 28 \, a^{3} \cosh\left(x\right)^{5} + 8 \, a^{3} \cosh\left(x\right)^{3} + a^{3} \cosh\left(x\right) + {\left(a^{3} \cosh\left(x\right)^{17} + 8 \, a^{3} \cosh\left(x\right)^{15} + 28 \, a^{3} \cosh\left(x\right)^{13} + 56 \, a^{3} \cosh\left(x\right)^{11} + 70 \, a^{3} \cosh\left(x\right)^{9} + 56 \, a^{3} \cosh\left(x\right)^{7} + 28 \, a^{3} \cosh\left(x\right)^{5} + 8 \, a^{3} \cosh\left(x\right)^{3} + a^{3} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(a^{3} \cosh\left(x\right)^{17} + 8 \, a^{3} \cosh\left(x\right)^{15} + 28 \, a^{3} \cosh\left(x\right)^{13} + 56 \, a^{3} \cosh\left(x\right)^{11} + 70 \, a^{3} \cosh\left(x\right)^{9} + 56 \, a^{3} \cosh\left(x\right)^{7} + 28 \, a^{3} \cosh\left(x\right)^{5} + 8 \, a^{3} \cosh\left(x\right)^{3} + a^{3} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)\right)}}"," ",0,"-256/315*(1008*cosh(x)*e^(2*x)*sinh(x)^7 + 126*e^(2*x)*sinh(x)^8 + 84*(42*cosh(x)^2 + 1)*e^(2*x)*sinh(x)^6 + 504*(14*cosh(x)^3 + cosh(x))*e^(2*x)*sinh(x)^5 + 36*(245*cosh(x)^4 + 35*cosh(x)^2 + 1)*e^(2*x)*sinh(x)^4 + 48*(147*cosh(x)^5 + 35*cosh(x)^3 + 3*cosh(x))*e^(2*x)*sinh(x)^3 + 9*(392*cosh(x)^6 + 140*cosh(x)^4 + 24*cosh(x)^2 + 1)*e^(2*x)*sinh(x)^2 + 18*(56*cosh(x)^7 + 28*cosh(x)^5 + 8*cosh(x)^3 + cosh(x))*e^(2*x)*sinh(x) + (126*cosh(x)^8 + 84*cosh(x)^6 + 36*cosh(x)^4 + 9*cosh(x)^2 + 1)*e^(2*x))*sqrt(a*e^(8*x) + 4*a*e^(6*x) + 6*a*e^(4*x) + 4*a*e^(2*x) + a)*e^(-2*x)/(a^3*cosh(x)^18 + 9*a^3*cosh(x)^16 + (a^3*e^(4*x) + 2*a^3*e^(2*x) + a^3)*sinh(x)^18 + 18*(a^3*cosh(x)*e^(4*x) + 2*a^3*cosh(x)*e^(2*x) + a^3*cosh(x))*sinh(x)^17 + 36*a^3*cosh(x)^14 + 9*(17*a^3*cosh(x)^2 + a^3 + (17*a^3*cosh(x)^2 + a^3)*e^(4*x) + 2*(17*a^3*cosh(x)^2 + a^3)*e^(2*x))*sinh(x)^16 + 48*(17*a^3*cosh(x)^3 + 3*a^3*cosh(x) + (17*a^3*cosh(x)^3 + 3*a^3*cosh(x))*e^(4*x) + 2*(17*a^3*cosh(x)^3 + 3*a^3*cosh(x))*e^(2*x))*sinh(x)^15 + 84*a^3*cosh(x)^12 + 36*(85*a^3*cosh(x)^4 + 30*a^3*cosh(x)^2 + a^3 + (85*a^3*cosh(x)^4 + 30*a^3*cosh(x)^2 + a^3)*e^(4*x) + 2*(85*a^3*cosh(x)^4 + 30*a^3*cosh(x)^2 + a^3)*e^(2*x))*sinh(x)^14 + 504*(17*a^3*cosh(x)^5 + 10*a^3*cosh(x)^3 + a^3*cosh(x) + (17*a^3*cosh(x)^5 + 10*a^3*cosh(x)^3 + a^3*cosh(x))*e^(4*x) + 2*(17*a^3*cosh(x)^5 + 10*a^3*cosh(x)^3 + a^3*cosh(x))*e^(2*x))*sinh(x)^13 + 126*a^3*cosh(x)^10 + 84*(221*a^3*cosh(x)^6 + 195*a^3*cosh(x)^4 + 39*a^3*cosh(x)^2 + a^3 + (221*a^3*cosh(x)^6 + 195*a^3*cosh(x)^4 + 39*a^3*cosh(x)^2 + a^3)*e^(4*x) + 2*(221*a^3*cosh(x)^6 + 195*a^3*cosh(x)^4 + 39*a^3*cosh(x)^2 + a^3)*e^(2*x))*sinh(x)^12 + 144*(221*a^3*cosh(x)^7 + 273*a^3*cosh(x)^5 + 91*a^3*cosh(x)^3 + 7*a^3*cosh(x) + (221*a^3*cosh(x)^7 + 273*a^3*cosh(x)^5 + 91*a^3*cosh(x)^3 + 7*a^3*cosh(x))*e^(4*x) + 2*(221*a^3*cosh(x)^7 + 273*a^3*cosh(x)^5 + 91*a^3*cosh(x)^3 + 7*a^3*cosh(x))*e^(2*x))*sinh(x)^11 + 126*a^3*cosh(x)^8 + 18*(2431*a^3*cosh(x)^8 + 4004*a^3*cosh(x)^6 + 2002*a^3*cosh(x)^4 + 308*a^3*cosh(x)^2 + 7*a^3 + (2431*a^3*cosh(x)^8 + 4004*a^3*cosh(x)^6 + 2002*a^3*cosh(x)^4 + 308*a^3*cosh(x)^2 + 7*a^3)*e^(4*x) + 2*(2431*a^3*cosh(x)^8 + 4004*a^3*cosh(x)^6 + 2002*a^3*cosh(x)^4 + 308*a^3*cosh(x)^2 + 7*a^3)*e^(2*x))*sinh(x)^10 + 4*(12155*a^3*cosh(x)^9 + 25740*a^3*cosh(x)^7 + 18018*a^3*cosh(x)^5 + 4620*a^3*cosh(x)^3 + 315*a^3*cosh(x) + (12155*a^3*cosh(x)^9 + 25740*a^3*cosh(x)^7 + 18018*a^3*cosh(x)^5 + 4620*a^3*cosh(x)^3 + 315*a^3*cosh(x))*e^(4*x) + 2*(12155*a^3*cosh(x)^9 + 25740*a^3*cosh(x)^7 + 18018*a^3*cosh(x)^5 + 4620*a^3*cosh(x)^3 + 315*a^3*cosh(x))*e^(2*x))*sinh(x)^9 + 84*a^3*cosh(x)^6 + 18*(2431*a^3*cosh(x)^10 + 6435*a^3*cosh(x)^8 + 6006*a^3*cosh(x)^6 + 2310*a^3*cosh(x)^4 + 315*a^3*cosh(x)^2 + 7*a^3 + (2431*a^3*cosh(x)^10 + 6435*a^3*cosh(x)^8 + 6006*a^3*cosh(x)^6 + 2310*a^3*cosh(x)^4 + 315*a^3*cosh(x)^2 + 7*a^3)*e^(4*x) + 2*(2431*a^3*cosh(x)^10 + 6435*a^3*cosh(x)^8 + 6006*a^3*cosh(x)^6 + 2310*a^3*cosh(x)^4 + 315*a^3*cosh(x)^2 + 7*a^3)*e^(2*x))*sinh(x)^8 + 144*(221*a^3*cosh(x)^11 + 715*a^3*cosh(x)^9 + 858*a^3*cosh(x)^7 + 462*a^3*cosh(x)^5 + 105*a^3*cosh(x)^3 + 7*a^3*cosh(x) + (221*a^3*cosh(x)^11 + 715*a^3*cosh(x)^9 + 858*a^3*cosh(x)^7 + 462*a^3*cosh(x)^5 + 105*a^3*cosh(x)^3 + 7*a^3*cosh(x))*e^(4*x) + 2*(221*a^3*cosh(x)^11 + 715*a^3*cosh(x)^9 + 858*a^3*cosh(x)^7 + 462*a^3*cosh(x)^5 + 105*a^3*cosh(x)^3 + 7*a^3*cosh(x))*e^(2*x))*sinh(x)^7 + 36*a^3*cosh(x)^4 + 84*(221*a^3*cosh(x)^12 + 858*a^3*cosh(x)^10 + 1287*a^3*cosh(x)^8 + 924*a^3*cosh(x)^6 + 315*a^3*cosh(x)^4 + 42*a^3*cosh(x)^2 + a^3 + (221*a^3*cosh(x)^12 + 858*a^3*cosh(x)^10 + 1287*a^3*cosh(x)^8 + 924*a^3*cosh(x)^6 + 315*a^3*cosh(x)^4 + 42*a^3*cosh(x)^2 + a^3)*e^(4*x) + 2*(221*a^3*cosh(x)^12 + 858*a^3*cosh(x)^10 + 1287*a^3*cosh(x)^8 + 924*a^3*cosh(x)^6 + 315*a^3*cosh(x)^4 + 42*a^3*cosh(x)^2 + a^3)*e^(2*x))*sinh(x)^6 + 504*(17*a^3*cosh(x)^13 + 78*a^3*cosh(x)^11 + 143*a^3*cosh(x)^9 + 132*a^3*cosh(x)^7 + 63*a^3*cosh(x)^5 + 14*a^3*cosh(x)^3 + a^3*cosh(x) + (17*a^3*cosh(x)^13 + 78*a^3*cosh(x)^11 + 143*a^3*cosh(x)^9 + 132*a^3*cosh(x)^7 + 63*a^3*cosh(x)^5 + 14*a^3*cosh(x)^3 + a^3*cosh(x))*e^(4*x) + 2*(17*a^3*cosh(x)^13 + 78*a^3*cosh(x)^11 + 143*a^3*cosh(x)^9 + 132*a^3*cosh(x)^7 + 63*a^3*cosh(x)^5 + 14*a^3*cosh(x)^3 + a^3*cosh(x))*e^(2*x))*sinh(x)^5 + 9*a^3*cosh(x)^2 + 36*(85*a^3*cosh(x)^14 + 455*a^3*cosh(x)^12 + 1001*a^3*cosh(x)^10 + 1155*a^3*cosh(x)^8 + 735*a^3*cosh(x)^6 + 245*a^3*cosh(x)^4 + 35*a^3*cosh(x)^2 + a^3 + (85*a^3*cosh(x)^14 + 455*a^3*cosh(x)^12 + 1001*a^3*cosh(x)^10 + 1155*a^3*cosh(x)^8 + 735*a^3*cosh(x)^6 + 245*a^3*cosh(x)^4 + 35*a^3*cosh(x)^2 + a^3)*e^(4*x) + 2*(85*a^3*cosh(x)^14 + 455*a^3*cosh(x)^12 + 1001*a^3*cosh(x)^10 + 1155*a^3*cosh(x)^8 + 735*a^3*cosh(x)^6 + 245*a^3*cosh(x)^4 + 35*a^3*cosh(x)^2 + a^3)*e^(2*x))*sinh(x)^4 + 48*(17*a^3*cosh(x)^15 + 105*a^3*cosh(x)^13 + 273*a^3*cosh(x)^11 + 385*a^3*cosh(x)^9 + 315*a^3*cosh(x)^7 + 147*a^3*cosh(x)^5 + 35*a^3*cosh(x)^3 + 3*a^3*cosh(x) + (17*a^3*cosh(x)^15 + 105*a^3*cosh(x)^13 + 273*a^3*cosh(x)^11 + 385*a^3*cosh(x)^9 + 315*a^3*cosh(x)^7 + 147*a^3*cosh(x)^5 + 35*a^3*cosh(x)^3 + 3*a^3*cosh(x))*e^(4*x) + 2*(17*a^3*cosh(x)^15 + 105*a^3*cosh(x)^13 + 273*a^3*cosh(x)^11 + 385*a^3*cosh(x)^9 + 315*a^3*cosh(x)^7 + 147*a^3*cosh(x)^5 + 35*a^3*cosh(x)^3 + 3*a^3*cosh(x))*e^(2*x))*sinh(x)^3 + a^3 + 9*(17*a^3*cosh(x)^16 + 120*a^3*cosh(x)^14 + 364*a^3*cosh(x)^12 + 616*a^3*cosh(x)^10 + 630*a^3*cosh(x)^8 + 392*a^3*cosh(x)^6 + 140*a^3*cosh(x)^4 + 24*a^3*cosh(x)^2 + a^3 + (17*a^3*cosh(x)^16 + 120*a^3*cosh(x)^14 + 364*a^3*cosh(x)^12 + 616*a^3*cosh(x)^10 + 630*a^3*cosh(x)^8 + 392*a^3*cosh(x)^6 + 140*a^3*cosh(x)^4 + 24*a^3*cosh(x)^2 + a^3)*e^(4*x) + 2*(17*a^3*cosh(x)^16 + 120*a^3*cosh(x)^14 + 364*a^3*cosh(x)^12 + 616*a^3*cosh(x)^10 + 630*a^3*cosh(x)^8 + 392*a^3*cosh(x)^6 + 140*a^3*cosh(x)^4 + 24*a^3*cosh(x)^2 + a^3)*e^(2*x))*sinh(x)^2 + (a^3*cosh(x)^18 + 9*a^3*cosh(x)^16 + 36*a^3*cosh(x)^14 + 84*a^3*cosh(x)^12 + 126*a^3*cosh(x)^10 + 126*a^3*cosh(x)^8 + 84*a^3*cosh(x)^6 + 36*a^3*cosh(x)^4 + 9*a^3*cosh(x)^2 + a^3)*e^(4*x) + 2*(a^3*cosh(x)^18 + 9*a^3*cosh(x)^16 + 36*a^3*cosh(x)^14 + 84*a^3*cosh(x)^12 + 126*a^3*cosh(x)^10 + 126*a^3*cosh(x)^8 + 84*a^3*cosh(x)^6 + 36*a^3*cosh(x)^4 + 9*a^3*cosh(x)^2 + a^3)*e^(2*x) + 18*(a^3*cosh(x)^17 + 8*a^3*cosh(x)^15 + 28*a^3*cosh(x)^13 + 56*a^3*cosh(x)^11 + 70*a^3*cosh(x)^9 + 56*a^3*cosh(x)^7 + 28*a^3*cosh(x)^5 + 8*a^3*cosh(x)^3 + a^3*cosh(x) + (a^3*cosh(x)^17 + 8*a^3*cosh(x)^15 + 28*a^3*cosh(x)^13 + 56*a^3*cosh(x)^11 + 70*a^3*cosh(x)^9 + 56*a^3*cosh(x)^7 + 28*a^3*cosh(x)^5 + 8*a^3*cosh(x)^3 + a^3*cosh(x))*e^(4*x) + 2*(a^3*cosh(x)^17 + 8*a^3*cosh(x)^15 + 28*a^3*cosh(x)^13 + 56*a^3*cosh(x)^11 + 70*a^3*cosh(x)^9 + 56*a^3*cosh(x)^7 + 28*a^3*cosh(x)^5 + 8*a^3*cosh(x)^3 + a^3*cosh(x))*e^(2*x))*sinh(x))","B",0
140,1,31,0,1.535241," ","integrate(sinh(x)/(1+cosh(x))^2,x, algorithm=""fricas"")","-\frac{2 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}{\cosh\left(x\right)^{2} + 2 \, {\left(\cosh\left(x\right) + 1\right)} \sinh\left(x\right) + \sinh\left(x\right)^{2} + 2 \, \cosh\left(x\right) + 1}"," ",0,"-2*(cosh(x) + sinh(x))/(cosh(x)^2 + 2*(cosh(x) + 1)*sinh(x) + sinh(x)^2 + 2*cosh(x) + 1)","B",0
141,1,31,0,0.401355," ","integrate(sinh(x)/(1-cosh(x))^2,x, algorithm=""fricas"")","-\frac{2 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}{\cosh\left(x\right)^{2} + 2 \, {\left(\cosh\left(x\right) - 1\right)} \sinh\left(x\right) + \sinh\left(x\right)^{2} - 2 \, \cosh\left(x\right) + 1}"," ",0,"-2*(cosh(x) + sinh(x))/(cosh(x)^2 + 2*(cosh(x) - 1)*sinh(x) + sinh(x)^2 - 2*cosh(x) + 1)","B",0
142,1,20,0,2.084605," ","integrate(sinh(x)^2/(1+cosh(x))^2,x, algorithm=""fricas"")","\frac{x \cosh\left(x\right) + x \sinh\left(x\right) + x + 4}{\cosh\left(x\right) + \sinh\left(x\right) + 1}"," ",0,"(x*cosh(x) + x*sinh(x) + x + 4)/(cosh(x) + sinh(x) + 1)","A",0
143,1,22,0,2.153786," ","integrate(sinh(x)^2/(1-cosh(x))^2,x, algorithm=""fricas"")","\frac{x \cosh\left(x\right) + x \sinh\left(x\right) - x - 4}{\cosh\left(x\right) + \sinh\left(x\right) - 1}"," ",0,"(x*cosh(x) + x*sinh(x) - x - 4)/(cosh(x) + sinh(x) - 1)","A",0
144,1,48,0,2.698284," ","integrate(sinh(x)^3/(1+cosh(x))^2,x, algorithm=""fricas"")","\frac{4 \, x \cosh\left(x\right) + \cosh\left(x\right)^{2} - 8 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + 2 \, {\left(2 \, x + \cosh\left(x\right)\right)} \sinh\left(x\right) + \sinh\left(x\right)^{2} + 1}{2 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"1/2*(4*x*cosh(x) + cosh(x)^2 - 8*(cosh(x) + sinh(x))*log(cosh(x) + sinh(x) + 1) + 2*(2*x + cosh(x))*sinh(x) + sinh(x)^2 + 1)/(cosh(x) + sinh(x))","B",0
145,1,54,0,1.087370," ","integrate(sinh(x)^3/(1-cosh(x))^2,x, algorithm=""fricas"")","-\frac{4 \, x \cosh\left(x\right) - \cosh\left(x\right)^{2} - 8 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 2 \, {\left(2 \, x - \cosh\left(x\right)\right)} \sinh\left(x\right) - \sinh\left(x\right)^{2} - 1}{2 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"-1/2*(4*x*cosh(x) - cosh(x)^2 - 8*(cosh(x) + sinh(x))*log(cosh(x) + sinh(x) - 1) + 2*(2*x - cosh(x))*sinh(x) - sinh(x)^2 - 1)/(cosh(x) + sinh(x))","B",0
146,1,55,0,0.815723," ","integrate(sinh(x)/(1+cosh(x))^3,x, algorithm=""fricas"")","-\frac{2 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}{\cosh\left(x\right)^{3} + {\left(3 \, \cosh\left(x\right) + 4\right)} \sinh\left(x\right)^{2} + \sinh\left(x\right)^{3} + 4 \, \cosh\left(x\right)^{2} + {\left(3 \, \cosh\left(x\right)^{2} + 8 \, \cosh\left(x\right) + 5\right)} \sinh\left(x\right) + 7 \, \cosh\left(x\right) + 4}"," ",0,"-2*(cosh(x) + sinh(x))/(cosh(x)^3 + (3*cosh(x) + 4)*sinh(x)^2 + sinh(x)^3 + 4*cosh(x)^2 + (3*cosh(x)^2 + 8*cosh(x) + 5)*sinh(x) + 7*cosh(x) + 4)","B",0
147,1,55,0,1.709935," ","integrate(sinh(x)/(1-cosh(x))^3,x, algorithm=""fricas"")","\frac{2 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}{\cosh\left(x\right)^{3} + {\left(3 \, \cosh\left(x\right) - 4\right)} \sinh\left(x\right)^{2} + \sinh\left(x\right)^{3} - 4 \, \cosh\left(x\right)^{2} + {\left(3 \, \cosh\left(x\right)^{2} - 8 \, \cosh\left(x\right) + 5\right)} \sinh\left(x\right) + 7 \, \cosh\left(x\right) - 4}"," ",0,"2*(cosh(x) + sinh(x))/(cosh(x)^3 + (3*cosh(x) - 4)*sinh(x)^2 + sinh(x)^3 - 4*cosh(x)^2 + (3*cosh(x)^2 - 8*cosh(x) + 5)*sinh(x) + 7*cosh(x) - 4)","B",0
148,1,33,0,0.496443," ","integrate(sinh(x)^2/(1+cosh(x))^3,x, algorithm=""fricas"")","-\frac{4 \, {\left(2 \, \cosh\left(x\right) + \sinh\left(x\right)\right)}}{3 \, {\left(\cosh\left(x\right)^{2} + 2 \, {\left(\cosh\left(x\right) + 1\right)} \sinh\left(x\right) + \sinh\left(x\right)^{2} + 4 \, \cosh\left(x\right) + 3\right)}}"," ",0,"-4/3*(2*cosh(x) + sinh(x))/(cosh(x)^2 + 2*(cosh(x) + 1)*sinh(x) + sinh(x)^2 + 4*cosh(x) + 3)","B",0
149,1,33,0,3.353674," ","integrate(sinh(x)^2/(1-cosh(x))^3,x, algorithm=""fricas"")","\frac{4 \, {\left(2 \, \cosh\left(x\right) + \sinh\left(x\right)\right)}}{3 \, {\left(\cosh\left(x\right)^{2} + 2 \, {\left(\cosh\left(x\right) - 1\right)} \sinh\left(x\right) + \sinh\left(x\right)^{2} - 4 \, \cosh\left(x\right) + 3\right)}}"," ",0,"4/3*(2*cosh(x) + sinh(x))/(cosh(x)^2 + 2*(cosh(x) - 1)*sinh(x) + sinh(x)^2 - 4*cosh(x) + 3)","B",0
150,1,89,0,0.553079," ","integrate(sinh(x)^3/(1+cosh(x))^3,x, algorithm=""fricas"")","-\frac{x \cosh\left(x\right)^{2} + x \sinh\left(x\right)^{2} + 2 \, {\left(x - 2\right)} \cosh\left(x\right) - 2 \, {\left(\cosh\left(x\right)^{2} + 2 \, {\left(\cosh\left(x\right) + 1\right)} \sinh\left(x\right) + \sinh\left(x\right)^{2} + 2 \, \cosh\left(x\right) + 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + 2 \, {\left(x \cosh\left(x\right) + x - 2\right)} \sinh\left(x\right) + x}{\cosh\left(x\right)^{2} + 2 \, {\left(\cosh\left(x\right) + 1\right)} \sinh\left(x\right) + \sinh\left(x\right)^{2} + 2 \, \cosh\left(x\right) + 1}"," ",0,"-(x*cosh(x)^2 + x*sinh(x)^2 + 2*(x - 2)*cosh(x) - 2*(cosh(x)^2 + 2*(cosh(x) + 1)*sinh(x) + sinh(x)^2 + 2*cosh(x) + 1)*log(cosh(x) + sinh(x) + 1) + 2*(x*cosh(x) + x - 2)*sinh(x) + x)/(cosh(x)^2 + 2*(cosh(x) + 1)*sinh(x) + sinh(x)^2 + 2*cosh(x) + 1)","B",0
151,1,90,0,0.697265," ","integrate(sinh(x)^3/(1-cosh(x))^3,x, algorithm=""fricas"")","\frac{x \cosh\left(x\right)^{2} + x \sinh\left(x\right)^{2} - 2 \, {\left(x - 2\right)} \cosh\left(x\right) - 2 \, {\left(\cosh\left(x\right)^{2} + 2 \, {\left(\cosh\left(x\right) - 1\right)} \sinh\left(x\right) + \sinh\left(x\right)^{2} - 2 \, \cosh\left(x\right) + 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 2 \, {\left(x \cosh\left(x\right) - x + 2\right)} \sinh\left(x\right) + x}{\cosh\left(x\right)^{2} + 2 \, {\left(\cosh\left(x\right) - 1\right)} \sinh\left(x\right) + \sinh\left(x\right)^{2} - 2 \, \cosh\left(x\right) + 1}"," ",0,"(x*cosh(x)^2 + x*sinh(x)^2 - 2*(x - 2)*cosh(x) - 2*(cosh(x)^2 + 2*(cosh(x) - 1)*sinh(x) + sinh(x)^2 - 2*cosh(x) + 1)*log(cosh(x) + sinh(x) - 1) + 2*(x*cosh(x) - x + 2)*sinh(x) + x)/(cosh(x)^2 + 2*(cosh(x) - 1)*sinh(x) + sinh(x)^2 - 2*cosh(x) + 1)","B",0
152,1,101,0,1.115469," ","integrate(sinh(x)^8/(a+a*cosh(x)),x, algorithm=""fricas"")","\frac{3 \, \sinh\left(x\right)^{7} + 21 \, {\left(3 \, \cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) - 1\right)} \sinh\left(x\right)^{5} + 7 \, {\left(15 \, \cosh\left(x\right)^{4} - 20 \, \cosh\left(x\right)^{3} - 30 \, \cosh\left(x\right)^{2} + 36 \, \cosh\left(x\right) + 9\right)} \sinh\left(x\right)^{3} + 21 \, {\left(\cosh\left(x\right)^{6} - 2 \, \cosh\left(x\right)^{5} - 5 \, \cosh\left(x\right)^{4} + 12 \, \cosh\left(x\right)^{3} + 9 \, \cosh\left(x\right)^{2} - 30 \, \cosh\left(x\right) - 5\right)} \sinh\left(x\right) + 420 \, x}{1344 \, a}"," ",0,"1/1344*(3*sinh(x)^7 + 21*(3*cosh(x)^2 - 2*cosh(x) - 1)*sinh(x)^5 + 7*(15*cosh(x)^4 - 20*cosh(x)^3 - 30*cosh(x)^2 + 36*cosh(x) + 9)*sinh(x)^3 + 21*(cosh(x)^6 - 2*cosh(x)^5 - 5*cosh(x)^4 + 12*cosh(x)^3 + 9*cosh(x)^2 - 30*cosh(x) - 5)*sinh(x) + 420*x)/a","B",0
153,1,94,0,1.382977," ","integrate(sinh(x)^7/(a+a*cosh(x)),x, algorithm=""fricas"")","\frac{5 \, \cosh\left(x\right)^{6} + 5 \, \sinh\left(x\right)^{6} - 12 \, \cosh\left(x\right)^{5} + 15 \, {\left(5 \, \cosh\left(x\right)^{2} - 4 \, \cosh\left(x\right) - 2\right)} \sinh\left(x\right)^{4} - 30 \, \cosh\left(x\right)^{4} + 100 \, \cosh\left(x\right)^{3} + 15 \, {\left(5 \, \cosh\left(x\right)^{4} - 8 \, \cosh\left(x\right)^{3} - 12 \, \cosh\left(x\right)^{2} + 20 \, \cosh\left(x\right) + 5\right)} \sinh\left(x\right)^{2} + 75 \, \cosh\left(x\right)^{2} - 600 \, \cosh\left(x\right)}{960 \, a}"," ",0,"1/960*(5*cosh(x)^6 + 5*sinh(x)^6 - 12*cosh(x)^5 + 15*(5*cosh(x)^2 - 4*cosh(x) - 2)*sinh(x)^4 - 30*cosh(x)^4 + 100*cosh(x)^3 + 15*(5*cosh(x)^4 - 8*cosh(x)^3 - 12*cosh(x)^2 + 20*cosh(x) + 5)*sinh(x)^2 + 75*cosh(x)^2 - 600*cosh(x))/a","B",0
154,1,57,0,1.038574," ","integrate(sinh(x)^6/(a+a*cosh(x)),x, algorithm=""fricas"")","\frac{\sinh\left(x\right)^{5} + 5 \, {\left(2 \, \cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) - 1\right)} \sinh\left(x\right)^{3} + 5 \, {\left(\cosh\left(x\right)^{4} - 2 \, \cosh\left(x\right)^{3} - 3 \, \cosh\left(x\right)^{2} + 8 \, \cosh\left(x\right) + 2\right)} \sinh\left(x\right) - 30 \, x}{80 \, a}"," ",0,"1/80*(sinh(x)^5 + 5*(2*cosh(x)^2 - 2*cosh(x) - 1)*sinh(x)^3 + 5*(cosh(x)^4 - 2*cosh(x)^3 - 3*cosh(x)^2 + 8*cosh(x) + 2)*sinh(x) - 30*x)/a","A",0
155,1,52,0,0.628618," ","integrate(sinh(x)^5/(a+a*cosh(x)),x, algorithm=""fricas"")","\frac{3 \, \cosh\left(x\right)^{4} + 3 \, \sinh\left(x\right)^{4} - 8 \, \cosh\left(x\right)^{3} + 6 \, {\left(3 \, \cosh\left(x\right)^{2} - 4 \, \cosh\left(x\right) - 2\right)} \sinh\left(x\right)^{2} - 12 \, \cosh\left(x\right)^{2} + 72 \, \cosh\left(x\right)}{96 \, a}"," ",0,"1/96*(3*cosh(x)^4 + 3*sinh(x)^4 - 8*cosh(x)^3 + 6*(3*cosh(x)^2 - 4*cosh(x) - 2)*sinh(x)^2 - 12*cosh(x)^2 + 72*cosh(x))/a","A",0
156,1,27,0,2.017466," ","integrate(sinh(x)^4/(a+a*cosh(x)),x, algorithm=""fricas"")","\frac{\sinh\left(x\right)^{3} + 3 \, {\left(\cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) - 1\right)} \sinh\left(x\right) + 6 \, x}{12 \, a}"," ",0,"1/12*(sinh(x)^3 + 3*(cosh(x)^2 - 2*cosh(x) - 1)*sinh(x) + 6*x)/a","A",0
157,1,18,0,0.728795," ","integrate(sinh(x)^3/(a+a*cosh(x)),x, algorithm=""fricas"")","\frac{\cosh\left(x\right)^{2} + \sinh\left(x\right)^{2} - 4 \, \cosh\left(x\right)}{4 \, a}"," ",0,"1/4*(cosh(x)^2 + sinh(x)^2 - 4*cosh(x))/a","A",0
158,1,11,0,1.688843," ","integrate(sinh(x)^2/(a+a*cosh(x)),x, algorithm=""fricas"")","-\frac{x - \sinh\left(x\right)}{a}"," ",0,"-(x - sinh(x))/a","A",0
159,1,16,0,0.784343," ","integrate(sinh(x)/(a+a*cosh(x)),x, algorithm=""fricas"")","-\frac{x - 2 \, \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right)}{a}"," ",0,"-(x - 2*log(cosh(x) + sinh(x) + 1))/a","A",0
160,1,103,0,1.748037," ","integrate(csch(x)/(a+a*cosh(x)),x, algorithm=""fricas"")","-\frac{{\left(\cosh\left(x\right)^{2} + 2 \, {\left(\cosh\left(x\right) + 1\right)} \sinh\left(x\right) + \sinh\left(x\right)^{2} + 2 \, \cosh\left(x\right) + 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - {\left(\cosh\left(x\right)^{2} + 2 \, {\left(\cosh\left(x\right) + 1\right)} \sinh\left(x\right) + \sinh\left(x\right)^{2} + 2 \, \cosh\left(x\right) + 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) - 2 \, \cosh\left(x\right) - 2 \, \sinh\left(x\right)}{2 \, {\left(a \cosh\left(x\right)^{2} + a \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(a \cosh\left(x\right) + a\right)} \sinh\left(x\right) + a\right)}}"," ",0,"-1/2*((cosh(x)^2 + 2*(cosh(x) + 1)*sinh(x) + sinh(x)^2 + 2*cosh(x) + 1)*log(cosh(x) + sinh(x) + 1) - (cosh(x)^2 + 2*(cosh(x) + 1)*sinh(x) + sinh(x)^2 + 2*cosh(x) + 1)*log(cosh(x) + sinh(x) - 1) - 2*cosh(x) - 2*sinh(x))/(a*cosh(x)^2 + a*sinh(x)^2 + 2*a*cosh(x) + 2*(a*cosh(x) + a)*sinh(x) + a)","B",0
161,1,94,0,1.617024," ","integrate(csch(x)^2/(a+a*cosh(x)),x, algorithm=""fricas"")","-\frac{4 \, {\left(2 \, \cosh\left(x\right) + 2 \, \sinh\left(x\right) + 1\right)}}{3 \, {\left(a \cosh\left(x\right)^{4} + a \sinh\left(x\right)^{4} + 2 \, a \cosh\left(x\right)^{3} + 2 \, {\left(2 \, a \cosh\left(x\right) + a\right)} \sinh\left(x\right)^{3} + 6 \, {\left(a \cosh\left(x\right)^{2} + a \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 2 \, a \cosh\left(x\right) + 2 \, {\left(2 \, a \cosh\left(x\right)^{3} + 3 \, a \cosh\left(x\right)^{2} - a\right)} \sinh\left(x\right) - a\right)}}"," ",0,"-4/3*(2*cosh(x) + 2*sinh(x) + 1)/(a*cosh(x)^4 + a*sinh(x)^4 + 2*a*cosh(x)^3 + 2*(2*a*cosh(x) + a)*sinh(x)^3 + 6*(a*cosh(x)^2 + a*cosh(x))*sinh(x)^2 - 2*a*cosh(x) + 2*(2*a*cosh(x)^3 + 3*a*cosh(x)^2 - a)*sinh(x) - a)","B",0
162,1,631,0,0.866763," ","integrate(csch(x)^3/(a+a*cosh(x)),x, algorithm=""fricas"")","-\frac{6 \, \cosh\left(x\right)^{5} + 6 \, {\left(5 \, \cosh\left(x\right) + 2\right)} \sinh\left(x\right)^{4} + 6 \, \sinh\left(x\right)^{5} + 12 \, \cosh\left(x\right)^{4} + 4 \, {\left(15 \, \cosh\left(x\right)^{2} + 12 \, \cosh\left(x\right) - 1\right)} \sinh\left(x\right)^{3} - 4 \, \cosh\left(x\right)^{3} + 12 \, {\left(5 \, \cosh\left(x\right)^{3} + 6 \, \cosh\left(x\right)^{2} - \cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{2} + 12 \, \cosh\left(x\right)^{2} - 3 \, {\left(\cosh\left(x\right)^{6} + 2 \, {\left(3 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{5} + \sinh\left(x\right)^{6} + 2 \, \cosh\left(x\right)^{5} + {\left(15 \, \cosh\left(x\right)^{2} + 10 \, \cosh\left(x\right) - 1\right)} \sinh\left(x\right)^{4} - \cosh\left(x\right)^{4} + 4 \, {\left(5 \, \cosh\left(x\right)^{3} + 5 \, \cosh\left(x\right)^{2} - \cosh\left(x\right) - 1\right)} \sinh\left(x\right)^{3} - 4 \, \cosh\left(x\right)^{3} + {\left(15 \, \cosh\left(x\right)^{4} + 20 \, \cosh\left(x\right)^{3} - 6 \, \cosh\left(x\right)^{2} - 12 \, \cosh\left(x\right) - 1\right)} \sinh\left(x\right)^{2} - \cosh\left(x\right)^{2} + 2 \, {\left(3 \, \cosh\left(x\right)^{5} + 5 \, \cosh\left(x\right)^{4} - 2 \, \cosh\left(x\right)^{3} - 6 \, \cosh\left(x\right)^{2} - \cosh\left(x\right) + 1\right)} \sinh\left(x\right) + 2 \, \cosh\left(x\right) + 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + 3 \, {\left(\cosh\left(x\right)^{6} + 2 \, {\left(3 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{5} + \sinh\left(x\right)^{6} + 2 \, \cosh\left(x\right)^{5} + {\left(15 \, \cosh\left(x\right)^{2} + 10 \, \cosh\left(x\right) - 1\right)} \sinh\left(x\right)^{4} - \cosh\left(x\right)^{4} + 4 \, {\left(5 \, \cosh\left(x\right)^{3} + 5 \, \cosh\left(x\right)^{2} - \cosh\left(x\right) - 1\right)} \sinh\left(x\right)^{3} - 4 \, \cosh\left(x\right)^{3} + {\left(15 \, \cosh\left(x\right)^{4} + 20 \, \cosh\left(x\right)^{3} - 6 \, \cosh\left(x\right)^{2} - 12 \, \cosh\left(x\right) - 1\right)} \sinh\left(x\right)^{2} - \cosh\left(x\right)^{2} + 2 \, {\left(3 \, \cosh\left(x\right)^{5} + 5 \, \cosh\left(x\right)^{4} - 2 \, \cosh\left(x\right)^{3} - 6 \, \cosh\left(x\right)^{2} - \cosh\left(x\right) + 1\right)} \sinh\left(x\right) + 2 \, \cosh\left(x\right) + 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 6 \, {\left(5 \, \cosh\left(x\right)^{4} + 8 \, \cosh\left(x\right)^{3} - 2 \, \cosh\left(x\right)^{2} + 4 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right) + 6 \, \cosh\left(x\right)}{8 \, {\left(a \cosh\left(x\right)^{6} + a \sinh\left(x\right)^{6} + 2 \, a \cosh\left(x\right)^{5} + 2 \, {\left(3 \, a \cosh\left(x\right) + a\right)} \sinh\left(x\right)^{5} - a \cosh\left(x\right)^{4} + {\left(15 \, a \cosh\left(x\right)^{2} + 10 \, a \cosh\left(x\right) - a\right)} \sinh\left(x\right)^{4} - 4 \, a \cosh\left(x\right)^{3} + 4 \, {\left(5 \, a \cosh\left(x\right)^{3} + 5 \, a \cosh\left(x\right)^{2} - a \cosh\left(x\right) - a\right)} \sinh\left(x\right)^{3} - a \cosh\left(x\right)^{2} + {\left(15 \, a \cosh\left(x\right)^{4} + 20 \, a \cosh\left(x\right)^{3} - 6 \, a \cosh\left(x\right)^{2} - 12 \, a \cosh\left(x\right) - a\right)} \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(3 \, a \cosh\left(x\right)^{5} + 5 \, a \cosh\left(x\right)^{4} - 2 \, a \cosh\left(x\right)^{3} - 6 \, a \cosh\left(x\right)^{2} - a \cosh\left(x\right) + a\right)} \sinh\left(x\right) + a\right)}}"," ",0,"-1/8*(6*cosh(x)^5 + 6*(5*cosh(x) + 2)*sinh(x)^4 + 6*sinh(x)^5 + 12*cosh(x)^4 + 4*(15*cosh(x)^2 + 12*cosh(x) - 1)*sinh(x)^3 - 4*cosh(x)^3 + 12*(5*cosh(x)^3 + 6*cosh(x)^2 - cosh(x) + 1)*sinh(x)^2 + 12*cosh(x)^2 - 3*(cosh(x)^6 + 2*(3*cosh(x) + 1)*sinh(x)^5 + sinh(x)^6 + 2*cosh(x)^5 + (15*cosh(x)^2 + 10*cosh(x) - 1)*sinh(x)^4 - cosh(x)^4 + 4*(5*cosh(x)^3 + 5*cosh(x)^2 - cosh(x) - 1)*sinh(x)^3 - 4*cosh(x)^3 + (15*cosh(x)^4 + 20*cosh(x)^3 - 6*cosh(x)^2 - 12*cosh(x) - 1)*sinh(x)^2 - cosh(x)^2 + 2*(3*cosh(x)^5 + 5*cosh(x)^4 - 2*cosh(x)^3 - 6*cosh(x)^2 - cosh(x) + 1)*sinh(x) + 2*cosh(x) + 1)*log(cosh(x) + sinh(x) + 1) + 3*(cosh(x)^6 + 2*(3*cosh(x) + 1)*sinh(x)^5 + sinh(x)^6 + 2*cosh(x)^5 + (15*cosh(x)^2 + 10*cosh(x) - 1)*sinh(x)^4 - cosh(x)^4 + 4*(5*cosh(x)^3 + 5*cosh(x)^2 - cosh(x) - 1)*sinh(x)^3 - 4*cosh(x)^3 + (15*cosh(x)^4 + 20*cosh(x)^3 - 6*cosh(x)^2 - 12*cosh(x) - 1)*sinh(x)^2 - cosh(x)^2 + 2*(3*cosh(x)^5 + 5*cosh(x)^4 - 2*cosh(x)^3 - 6*cosh(x)^2 - cosh(x) + 1)*sinh(x) + 2*cosh(x) + 1)*log(cosh(x) + sinh(x) - 1) + 6*(5*cosh(x)^4 + 8*cosh(x)^3 - 2*cosh(x)^2 + 4*cosh(x) + 1)*sinh(x) + 6*cosh(x))/(a*cosh(x)^6 + a*sinh(x)^6 + 2*a*cosh(x)^5 + 2*(3*a*cosh(x) + a)*sinh(x)^5 - a*cosh(x)^4 + (15*a*cosh(x)^2 + 10*a*cosh(x) - a)*sinh(x)^4 - 4*a*cosh(x)^3 + 4*(5*a*cosh(x)^3 + 5*a*cosh(x)^2 - a*cosh(x) - a)*sinh(x)^3 - a*cosh(x)^2 + (15*a*cosh(x)^4 + 20*a*cosh(x)^3 - 6*a*cosh(x)^2 - 12*a*cosh(x) - a)*sinh(x)^2 + 2*a*cosh(x) + 2*(3*a*cosh(x)^5 + 5*a*cosh(x)^4 - 2*a*cosh(x)^3 - 6*a*cosh(x)^2 - a*cosh(x) + a)*sinh(x) + a)","B",0
163,1,250,0,1.091032," ","integrate(csch(x)^4/(a+a*cosh(x)),x, algorithm=""fricas"")","-\frac{16 \, {\left(6 \, \cosh\left(x\right)^{2} + 3 \, {\left(4 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right) + 6 \, \sinh\left(x\right)^{2} + \cosh\left(x\right) - 2\right)}}{15 \, {\left(a \cosh\left(x\right)^{7} + a \sinh\left(x\right)^{7} + 2 \, a \cosh\left(x\right)^{6} + {\left(7 \, a \cosh\left(x\right) + 2 \, a\right)} \sinh\left(x\right)^{6} - 2 \, a \cosh\left(x\right)^{5} + {\left(21 \, a \cosh\left(x\right)^{2} + 12 \, a \cosh\left(x\right) - 2 \, a\right)} \sinh\left(x\right)^{5} - 6 \, a \cosh\left(x\right)^{4} + {\left(35 \, a \cosh\left(x\right)^{3} + 30 \, a \cosh\left(x\right)^{2} - 10 \, a \cosh\left(x\right) - 6 \, a\right)} \sinh\left(x\right)^{4} + {\left(35 \, a \cosh\left(x\right)^{4} + 40 \, a \cosh\left(x\right)^{3} - 20 \, a \cosh\left(x\right)^{2} - 24 \, a \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 6 \, a \cosh\left(x\right)^{2} + {\left(21 \, a \cosh\left(x\right)^{5} + 30 \, a \cosh\left(x\right)^{4} - 20 \, a \cosh\left(x\right)^{3} - 36 \, a \cosh\left(x\right)^{2} + 6 \, a\right)} \sinh\left(x\right)^{2} + a \cosh\left(x\right) + {\left(7 \, a \cosh\left(x\right)^{6} + 12 \, a \cosh\left(x\right)^{5} - 10 \, a \cosh\left(x\right)^{4} - 24 \, a \cosh\left(x\right)^{3} + 12 \, a \cosh\left(x\right) + 3 \, a\right)} \sinh\left(x\right) - 2 \, a\right)}}"," ",0,"-16/15*(6*cosh(x)^2 + 3*(4*cosh(x) + 1)*sinh(x) + 6*sinh(x)^2 + cosh(x) - 2)/(a*cosh(x)^7 + a*sinh(x)^7 + 2*a*cosh(x)^6 + (7*a*cosh(x) + 2*a)*sinh(x)^6 - 2*a*cosh(x)^5 + (21*a*cosh(x)^2 + 12*a*cosh(x) - 2*a)*sinh(x)^5 - 6*a*cosh(x)^4 + (35*a*cosh(x)^3 + 30*a*cosh(x)^2 - 10*a*cosh(x) - 6*a)*sinh(x)^4 + (35*a*cosh(x)^4 + 40*a*cosh(x)^3 - 20*a*cosh(x)^2 - 24*a*cosh(x))*sinh(x)^3 + 6*a*cosh(x)^2 + (21*a*cosh(x)^5 + 30*a*cosh(x)^4 - 20*a*cosh(x)^3 - 36*a*cosh(x)^2 + 6*a)*sinh(x)^2 + a*cosh(x) + (7*a*cosh(x)^6 + 12*a*cosh(x)^5 - 10*a*cosh(x)^4 - 24*a*cosh(x)^3 + 12*a*cosh(x) + 3*a)*sinh(x) - 2*a)","B",0
164,1,1551,0,0.826893," ","integrate(csch(x)^5/(a+a*cosh(x)),x, algorithm=""fricas"")","\frac{30 \, \cosh\left(x\right)^{9} + 30 \, {\left(9 \, \cosh\left(x\right) + 2\right)} \sinh\left(x\right)^{8} + 30 \, \sinh\left(x\right)^{9} + 60 \, \cosh\left(x\right)^{8} + 40 \, {\left(27 \, \cosh\left(x\right)^{2} + 12 \, \cosh\left(x\right) - 2\right)} \sinh\left(x\right)^{7} - 80 \, \cosh\left(x\right)^{7} + 20 \, {\left(126 \, \cosh\left(x\right)^{3} + 84 \, \cosh\left(x\right)^{2} - 28 \, \cosh\left(x\right) - 11\right)} \sinh\left(x\right)^{6} - 220 \, \cosh\left(x\right)^{6} + 12 \, {\left(315 \, \cosh\left(x\right)^{4} + 280 \, \cosh\left(x\right)^{3} - 140 \, \cosh\left(x\right)^{2} - 110 \, \cosh\left(x\right) + 3\right)} \sinh\left(x\right)^{5} + 36 \, \cosh\left(x\right)^{5} + 20 \, {\left(189 \, \cosh\left(x\right)^{5} + 210 \, \cosh\left(x\right)^{4} - 140 \, \cosh\left(x\right)^{3} - 165 \, \cosh\left(x\right)^{2} + 9 \, \cosh\left(x\right) - 11\right)} \sinh\left(x\right)^{4} - 220 \, \cosh\left(x\right)^{4} + 40 \, {\left(63 \, \cosh\left(x\right)^{6} + 84 \, \cosh\left(x\right)^{5} - 70 \, \cosh\left(x\right)^{4} - 110 \, \cosh\left(x\right)^{3} + 9 \, \cosh\left(x\right)^{2} - 22 \, \cosh\left(x\right) - 2\right)} \sinh\left(x\right)^{3} - 80 \, \cosh\left(x\right)^{3} + 60 \, {\left(18 \, \cosh\left(x\right)^{7} + 28 \, \cosh\left(x\right)^{6} - 28 \, \cosh\left(x\right)^{5} - 55 \, \cosh\left(x\right)^{4} + 6 \, \cosh\left(x\right)^{3} - 22 \, \cosh\left(x\right)^{2} - 4 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{2} + 60 \, \cosh\left(x\right)^{2} - 15 \, {\left(\cosh\left(x\right)^{10} + 2 \, {\left(5 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{9} + \sinh\left(x\right)^{10} + 2 \, \cosh\left(x\right)^{9} + 3 \, {\left(15 \, \cosh\left(x\right)^{2} + 6 \, \cosh\left(x\right) - 1\right)} \sinh\left(x\right)^{8} - 3 \, \cosh\left(x\right)^{8} + 8 \, {\left(15 \, \cosh\left(x\right)^{3} + 9 \, \cosh\left(x\right)^{2} - 3 \, \cosh\left(x\right) - 1\right)} \sinh\left(x\right)^{7} - 8 \, \cosh\left(x\right)^{7} + 2 \, {\left(105 \, \cosh\left(x\right)^{4} + 84 \, \cosh\left(x\right)^{3} - 42 \, \cosh\left(x\right)^{2} - 28 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{6} + 2 \, \cosh\left(x\right)^{6} + 12 \, {\left(21 \, \cosh\left(x\right)^{5} + 21 \, \cosh\left(x\right)^{4} - 14 \, \cosh\left(x\right)^{3} - 14 \, \cosh\left(x\right)^{2} + \cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{5} + 12 \, \cosh\left(x\right)^{5} + 2 \, {\left(105 \, \cosh\left(x\right)^{6} + 126 \, \cosh\left(x\right)^{5} - 105 \, \cosh\left(x\right)^{4} - 140 \, \cosh\left(x\right)^{3} + 15 \, \cosh\left(x\right)^{2} + 30 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{4} + 2 \, \cosh\left(x\right)^{4} + 8 \, {\left(15 \, \cosh\left(x\right)^{7} + 21 \, \cosh\left(x\right)^{6} - 21 \, \cosh\left(x\right)^{5} - 35 \, \cosh\left(x\right)^{4} + 5 \, \cosh\left(x\right)^{3} + 15 \, \cosh\left(x\right)^{2} + \cosh\left(x\right) - 1\right)} \sinh\left(x\right)^{3} - 8 \, \cosh\left(x\right)^{3} + 3 \, {\left(15 \, \cosh\left(x\right)^{8} + 24 \, \cosh\left(x\right)^{7} - 28 \, \cosh\left(x\right)^{6} - 56 \, \cosh\left(x\right)^{5} + 10 \, \cosh\left(x\right)^{4} + 40 \, \cosh\left(x\right)^{3} + 4 \, \cosh\left(x\right)^{2} - 8 \, \cosh\left(x\right) - 1\right)} \sinh\left(x\right)^{2} - 3 \, \cosh\left(x\right)^{2} + 2 \, {\left(5 \, \cosh\left(x\right)^{9} + 9 \, \cosh\left(x\right)^{8} - 12 \, \cosh\left(x\right)^{7} - 28 \, \cosh\left(x\right)^{6} + 6 \, \cosh\left(x\right)^{5} + 30 \, \cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right)^{3} - 12 \, \cosh\left(x\right)^{2} - 3 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right) + 2 \, \cosh\left(x\right) + 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + 15 \, {\left(\cosh\left(x\right)^{10} + 2 \, {\left(5 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{9} + \sinh\left(x\right)^{10} + 2 \, \cosh\left(x\right)^{9} + 3 \, {\left(15 \, \cosh\left(x\right)^{2} + 6 \, \cosh\left(x\right) - 1\right)} \sinh\left(x\right)^{8} - 3 \, \cosh\left(x\right)^{8} + 8 \, {\left(15 \, \cosh\left(x\right)^{3} + 9 \, \cosh\left(x\right)^{2} - 3 \, \cosh\left(x\right) - 1\right)} \sinh\left(x\right)^{7} - 8 \, \cosh\left(x\right)^{7} + 2 \, {\left(105 \, \cosh\left(x\right)^{4} + 84 \, \cosh\left(x\right)^{3} - 42 \, \cosh\left(x\right)^{2} - 28 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{6} + 2 \, \cosh\left(x\right)^{6} + 12 \, {\left(21 \, \cosh\left(x\right)^{5} + 21 \, \cosh\left(x\right)^{4} - 14 \, \cosh\left(x\right)^{3} - 14 \, \cosh\left(x\right)^{2} + \cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{5} + 12 \, \cosh\left(x\right)^{5} + 2 \, {\left(105 \, \cosh\left(x\right)^{6} + 126 \, \cosh\left(x\right)^{5} - 105 \, \cosh\left(x\right)^{4} - 140 \, \cosh\left(x\right)^{3} + 15 \, \cosh\left(x\right)^{2} + 30 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{4} + 2 \, \cosh\left(x\right)^{4} + 8 \, {\left(15 \, \cosh\left(x\right)^{7} + 21 \, \cosh\left(x\right)^{6} - 21 \, \cosh\left(x\right)^{5} - 35 \, \cosh\left(x\right)^{4} + 5 \, \cosh\left(x\right)^{3} + 15 \, \cosh\left(x\right)^{2} + \cosh\left(x\right) - 1\right)} \sinh\left(x\right)^{3} - 8 \, \cosh\left(x\right)^{3} + 3 \, {\left(15 \, \cosh\left(x\right)^{8} + 24 \, \cosh\left(x\right)^{7} - 28 \, \cosh\left(x\right)^{6} - 56 \, \cosh\left(x\right)^{5} + 10 \, \cosh\left(x\right)^{4} + 40 \, \cosh\left(x\right)^{3} + 4 \, \cosh\left(x\right)^{2} - 8 \, \cosh\left(x\right) - 1\right)} \sinh\left(x\right)^{2} - 3 \, \cosh\left(x\right)^{2} + 2 \, {\left(5 \, \cosh\left(x\right)^{9} + 9 \, \cosh\left(x\right)^{8} - 12 \, \cosh\left(x\right)^{7} - 28 \, \cosh\left(x\right)^{6} + 6 \, \cosh\left(x\right)^{5} + 30 \, \cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right)^{3} - 12 \, \cosh\left(x\right)^{2} - 3 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right) + 2 \, \cosh\left(x\right) + 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 10 \, {\left(27 \, \cosh\left(x\right)^{8} + 48 \, \cosh\left(x\right)^{7} - 56 \, \cosh\left(x\right)^{6} - 132 \, \cosh\left(x\right)^{5} + 18 \, \cosh\left(x\right)^{4} - 88 \, \cosh\left(x\right)^{3} - 24 \, \cosh\left(x\right)^{2} + 12 \, \cosh\left(x\right) + 3\right)} \sinh\left(x\right) + 30 \, \cosh\left(x\right)}{48 \, {\left(a \cosh\left(x\right)^{10} + a \sinh\left(x\right)^{10} + 2 \, a \cosh\left(x\right)^{9} + 2 \, {\left(5 \, a \cosh\left(x\right) + a\right)} \sinh\left(x\right)^{9} - 3 \, a \cosh\left(x\right)^{8} + 3 \, {\left(15 \, a \cosh\left(x\right)^{2} + 6 \, a \cosh\left(x\right) - a\right)} \sinh\left(x\right)^{8} - 8 \, a \cosh\left(x\right)^{7} + 8 \, {\left(15 \, a \cosh\left(x\right)^{3} + 9 \, a \cosh\left(x\right)^{2} - 3 \, a \cosh\left(x\right) - a\right)} \sinh\left(x\right)^{7} + 2 \, a \cosh\left(x\right)^{6} + 2 \, {\left(105 \, a \cosh\left(x\right)^{4} + 84 \, a \cosh\left(x\right)^{3} - 42 \, a \cosh\left(x\right)^{2} - 28 \, a \cosh\left(x\right) + a\right)} \sinh\left(x\right)^{6} + 12 \, a \cosh\left(x\right)^{5} + 12 \, {\left(21 \, a \cosh\left(x\right)^{5} + 21 \, a \cosh\left(x\right)^{4} - 14 \, a \cosh\left(x\right)^{3} - 14 \, a \cosh\left(x\right)^{2} + a \cosh\left(x\right) + a\right)} \sinh\left(x\right)^{5} + 2 \, a \cosh\left(x\right)^{4} + 2 \, {\left(105 \, a \cosh\left(x\right)^{6} + 126 \, a \cosh\left(x\right)^{5} - 105 \, a \cosh\left(x\right)^{4} - 140 \, a \cosh\left(x\right)^{3} + 15 \, a \cosh\left(x\right)^{2} + 30 \, a \cosh\left(x\right) + a\right)} \sinh\left(x\right)^{4} - 8 \, a \cosh\left(x\right)^{3} + 8 \, {\left(15 \, a \cosh\left(x\right)^{7} + 21 \, a \cosh\left(x\right)^{6} - 21 \, a \cosh\left(x\right)^{5} - 35 \, a \cosh\left(x\right)^{4} + 5 \, a \cosh\left(x\right)^{3} + 15 \, a \cosh\left(x\right)^{2} + a \cosh\left(x\right) - a\right)} \sinh\left(x\right)^{3} - 3 \, a \cosh\left(x\right)^{2} + 3 \, {\left(15 \, a \cosh\left(x\right)^{8} + 24 \, a \cosh\left(x\right)^{7} - 28 \, a \cosh\left(x\right)^{6} - 56 \, a \cosh\left(x\right)^{5} + 10 \, a \cosh\left(x\right)^{4} + 40 \, a \cosh\left(x\right)^{3} + 4 \, a \cosh\left(x\right)^{2} - 8 \, a \cosh\left(x\right) - a\right)} \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(5 \, a \cosh\left(x\right)^{9} + 9 \, a \cosh\left(x\right)^{8} - 12 \, a \cosh\left(x\right)^{7} - 28 \, a \cosh\left(x\right)^{6} + 6 \, a \cosh\left(x\right)^{5} + 30 \, a \cosh\left(x\right)^{4} + 4 \, a \cosh\left(x\right)^{3} - 12 \, a \cosh\left(x\right)^{2} - 3 \, a \cosh\left(x\right) + a\right)} \sinh\left(x\right) + a\right)}}"," ",0,"1/48*(30*cosh(x)^9 + 30*(9*cosh(x) + 2)*sinh(x)^8 + 30*sinh(x)^9 + 60*cosh(x)^8 + 40*(27*cosh(x)^2 + 12*cosh(x) - 2)*sinh(x)^7 - 80*cosh(x)^7 + 20*(126*cosh(x)^3 + 84*cosh(x)^2 - 28*cosh(x) - 11)*sinh(x)^6 - 220*cosh(x)^6 + 12*(315*cosh(x)^4 + 280*cosh(x)^3 - 140*cosh(x)^2 - 110*cosh(x) + 3)*sinh(x)^5 + 36*cosh(x)^5 + 20*(189*cosh(x)^5 + 210*cosh(x)^4 - 140*cosh(x)^3 - 165*cosh(x)^2 + 9*cosh(x) - 11)*sinh(x)^4 - 220*cosh(x)^4 + 40*(63*cosh(x)^6 + 84*cosh(x)^5 - 70*cosh(x)^4 - 110*cosh(x)^3 + 9*cosh(x)^2 - 22*cosh(x) - 2)*sinh(x)^3 - 80*cosh(x)^3 + 60*(18*cosh(x)^7 + 28*cosh(x)^6 - 28*cosh(x)^5 - 55*cosh(x)^4 + 6*cosh(x)^3 - 22*cosh(x)^2 - 4*cosh(x) + 1)*sinh(x)^2 + 60*cosh(x)^2 - 15*(cosh(x)^10 + 2*(5*cosh(x) + 1)*sinh(x)^9 + sinh(x)^10 + 2*cosh(x)^9 + 3*(15*cosh(x)^2 + 6*cosh(x) - 1)*sinh(x)^8 - 3*cosh(x)^8 + 8*(15*cosh(x)^3 + 9*cosh(x)^2 - 3*cosh(x) - 1)*sinh(x)^7 - 8*cosh(x)^7 + 2*(105*cosh(x)^4 + 84*cosh(x)^3 - 42*cosh(x)^2 - 28*cosh(x) + 1)*sinh(x)^6 + 2*cosh(x)^6 + 12*(21*cosh(x)^5 + 21*cosh(x)^4 - 14*cosh(x)^3 - 14*cosh(x)^2 + cosh(x) + 1)*sinh(x)^5 + 12*cosh(x)^5 + 2*(105*cosh(x)^6 + 126*cosh(x)^5 - 105*cosh(x)^4 - 140*cosh(x)^3 + 15*cosh(x)^2 + 30*cosh(x) + 1)*sinh(x)^4 + 2*cosh(x)^4 + 8*(15*cosh(x)^7 + 21*cosh(x)^6 - 21*cosh(x)^5 - 35*cosh(x)^4 + 5*cosh(x)^3 + 15*cosh(x)^2 + cosh(x) - 1)*sinh(x)^3 - 8*cosh(x)^3 + 3*(15*cosh(x)^8 + 24*cosh(x)^7 - 28*cosh(x)^6 - 56*cosh(x)^5 + 10*cosh(x)^4 + 40*cosh(x)^3 + 4*cosh(x)^2 - 8*cosh(x) - 1)*sinh(x)^2 - 3*cosh(x)^2 + 2*(5*cosh(x)^9 + 9*cosh(x)^8 - 12*cosh(x)^7 - 28*cosh(x)^6 + 6*cosh(x)^5 + 30*cosh(x)^4 + 4*cosh(x)^3 - 12*cosh(x)^2 - 3*cosh(x) + 1)*sinh(x) + 2*cosh(x) + 1)*log(cosh(x) + sinh(x) + 1) + 15*(cosh(x)^10 + 2*(5*cosh(x) + 1)*sinh(x)^9 + sinh(x)^10 + 2*cosh(x)^9 + 3*(15*cosh(x)^2 + 6*cosh(x) - 1)*sinh(x)^8 - 3*cosh(x)^8 + 8*(15*cosh(x)^3 + 9*cosh(x)^2 - 3*cosh(x) - 1)*sinh(x)^7 - 8*cosh(x)^7 + 2*(105*cosh(x)^4 + 84*cosh(x)^3 - 42*cosh(x)^2 - 28*cosh(x) + 1)*sinh(x)^6 + 2*cosh(x)^6 + 12*(21*cosh(x)^5 + 21*cosh(x)^4 - 14*cosh(x)^3 - 14*cosh(x)^2 + cosh(x) + 1)*sinh(x)^5 + 12*cosh(x)^5 + 2*(105*cosh(x)^6 + 126*cosh(x)^5 - 105*cosh(x)^4 - 140*cosh(x)^3 + 15*cosh(x)^2 + 30*cosh(x) + 1)*sinh(x)^4 + 2*cosh(x)^4 + 8*(15*cosh(x)^7 + 21*cosh(x)^6 - 21*cosh(x)^5 - 35*cosh(x)^4 + 5*cosh(x)^3 + 15*cosh(x)^2 + cosh(x) - 1)*sinh(x)^3 - 8*cosh(x)^3 + 3*(15*cosh(x)^8 + 24*cosh(x)^7 - 28*cosh(x)^6 - 56*cosh(x)^5 + 10*cosh(x)^4 + 40*cosh(x)^3 + 4*cosh(x)^2 - 8*cosh(x) - 1)*sinh(x)^2 - 3*cosh(x)^2 + 2*(5*cosh(x)^9 + 9*cosh(x)^8 - 12*cosh(x)^7 - 28*cosh(x)^6 + 6*cosh(x)^5 + 30*cosh(x)^4 + 4*cosh(x)^3 - 12*cosh(x)^2 - 3*cosh(x) + 1)*sinh(x) + 2*cosh(x) + 1)*log(cosh(x) + sinh(x) - 1) + 10*(27*cosh(x)^8 + 48*cosh(x)^7 - 56*cosh(x)^6 - 132*cosh(x)^5 + 18*cosh(x)^4 - 88*cosh(x)^3 - 24*cosh(x)^2 + 12*cosh(x) + 3)*sinh(x) + 30*cosh(x))/(a*cosh(x)^10 + a*sinh(x)^10 + 2*a*cosh(x)^9 + 2*(5*a*cosh(x) + a)*sinh(x)^9 - 3*a*cosh(x)^8 + 3*(15*a*cosh(x)^2 + 6*a*cosh(x) - a)*sinh(x)^8 - 8*a*cosh(x)^7 + 8*(15*a*cosh(x)^3 + 9*a*cosh(x)^2 - 3*a*cosh(x) - a)*sinh(x)^7 + 2*a*cosh(x)^6 + 2*(105*a*cosh(x)^4 + 84*a*cosh(x)^3 - 42*a*cosh(x)^2 - 28*a*cosh(x) + a)*sinh(x)^6 + 12*a*cosh(x)^5 + 12*(21*a*cosh(x)^5 + 21*a*cosh(x)^4 - 14*a*cosh(x)^3 - 14*a*cosh(x)^2 + a*cosh(x) + a)*sinh(x)^5 + 2*a*cosh(x)^4 + 2*(105*a*cosh(x)^6 + 126*a*cosh(x)^5 - 105*a*cosh(x)^4 - 140*a*cosh(x)^3 + 15*a*cosh(x)^2 + 30*a*cosh(x) + a)*sinh(x)^4 - 8*a*cosh(x)^3 + 8*(15*a*cosh(x)^7 + 21*a*cosh(x)^6 - 21*a*cosh(x)^5 - 35*a*cosh(x)^4 + 5*a*cosh(x)^3 + 15*a*cosh(x)^2 + a*cosh(x) - a)*sinh(x)^3 - 3*a*cosh(x)^2 + 3*(15*a*cosh(x)^8 + 24*a*cosh(x)^7 - 28*a*cosh(x)^6 - 56*a*cosh(x)^5 + 10*a*cosh(x)^4 + 40*a*cosh(x)^3 + 4*a*cosh(x)^2 - 8*a*cosh(x) - a)*sinh(x)^2 + 2*a*cosh(x) + 2*(5*a*cosh(x)^9 + 9*a*cosh(x)^8 - 12*a*cosh(x)^7 - 28*a*cosh(x)^6 + 6*a*cosh(x)^5 + 30*a*cosh(x)^4 + 4*a*cosh(x)^3 - 12*a*cosh(x)^2 - 3*a*cosh(x) + a)*sinh(x) + a)","B",0
165,1,2134,0,0.838718," ","integrate(sinh(x)^7/(a+b*cosh(x)),x, algorithm=""fricas"")","\frac{5 \, b^{6} \cosh\left(x\right)^{12} + 5 \, b^{6} \sinh\left(x\right)^{12} - 12 \, a b^{5} \cosh\left(x\right)^{11} + 12 \, {\left(5 \, b^{6} \cosh\left(x\right) - a b^{5}\right)} \sinh\left(x\right)^{11} + 30 \, {\left(a^{2} b^{4} - 2 \, b^{6}\right)} \cosh\left(x\right)^{10} + 6 \, {\left(55 \, b^{6} \cosh\left(x\right)^{2} - 22 \, a b^{5} \cosh\left(x\right) + 5 \, a^{2} b^{4} - 10 \, b^{6}\right)} \sinh\left(x\right)^{10} - 20 \, {\left(4 \, a^{3} b^{3} - 9 \, a b^{5}\right)} \cosh\left(x\right)^{9} + 20 \, {\left(55 \, b^{6} \cosh\left(x\right)^{3} - 33 \, a b^{5} \cosh\left(x\right)^{2} - 4 \, a^{3} b^{3} + 9 \, a b^{5} + 15 \, {\left(a^{2} b^{4} - 2 \, b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{9} + 15 \, {\left(16 \, a^{4} b^{2} - 40 \, a^{2} b^{4} + 29 \, b^{6}\right)} \cosh\left(x\right)^{8} + 15 \, {\left(165 \, b^{6} \cosh\left(x\right)^{4} - 132 \, a b^{5} \cosh\left(x\right)^{3} + 16 \, a^{4} b^{2} - 40 \, a^{2} b^{4} + 29 \, b^{6} + 90 \, {\left(a^{2} b^{4} - 2 \, b^{6}\right)} \cosh\left(x\right)^{2} - 12 \, {\left(4 \, a^{3} b^{3} - 9 \, a b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{8} - 1920 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} x \cosh\left(x\right)^{6} - 120 \, {\left(8 \, a^{5} b - 22 \, a^{3} b^{3} + 19 \, a b^{5}\right)} \cosh\left(x\right)^{7} + 120 \, {\left(33 \, b^{6} \cosh\left(x\right)^{5} - 33 \, a b^{5} \cosh\left(x\right)^{4} - 8 \, a^{5} b + 22 \, a^{3} b^{3} - 19 \, a b^{5} + 30 \, {\left(a^{2} b^{4} - 2 \, b^{6}\right)} \cosh\left(x\right)^{3} - 6 \, {\left(4 \, a^{3} b^{3} - 9 \, a b^{5}\right)} \cosh\left(x\right)^{2} + {\left(16 \, a^{4} b^{2} - 40 \, a^{2} b^{4} + 29 \, b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} - 12 \, a b^{5} \cosh\left(x\right) + 12 \, {\left(385 \, b^{6} \cosh\left(x\right)^{6} - 462 \, a b^{5} \cosh\left(x\right)^{5} + 525 \, {\left(a^{2} b^{4} - 2 \, b^{6}\right)} \cosh\left(x\right)^{4} - 140 \, {\left(4 \, a^{3} b^{3} - 9 \, a b^{5}\right)} \cosh\left(x\right)^{3} + 35 \, {\left(16 \, a^{4} b^{2} - 40 \, a^{2} b^{4} + 29 \, b^{6}\right)} \cosh\left(x\right)^{2} - 160 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} x - 70 \, {\left(8 \, a^{5} b - 22 \, a^{3} b^{3} + 19 \, a b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} + 5 \, b^{6} - 120 \, {\left(8 \, a^{5} b - 22 \, a^{3} b^{3} + 19 \, a b^{5}\right)} \cosh\left(x\right)^{5} + 24 \, {\left(165 \, b^{6} \cosh\left(x\right)^{7} - 231 \, a b^{5} \cosh\left(x\right)^{6} - 40 \, a^{5} b + 110 \, a^{3} b^{3} - 95 \, a b^{5} + 315 \, {\left(a^{2} b^{4} - 2 \, b^{6}\right)} \cosh\left(x\right)^{5} - 105 \, {\left(4 \, a^{3} b^{3} - 9 \, a b^{5}\right)} \cosh\left(x\right)^{4} + 35 \, {\left(16 \, a^{4} b^{2} - 40 \, a^{2} b^{4} + 29 \, b^{6}\right)} \cosh\left(x\right)^{3} - 480 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} x \cosh\left(x\right) - 105 \, {\left(8 \, a^{5} b - 22 \, a^{3} b^{3} + 19 \, a b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{5} + 15 \, {\left(16 \, a^{4} b^{2} - 40 \, a^{2} b^{4} + 29 \, b^{6}\right)} \cosh\left(x\right)^{4} + 15 \, {\left(165 \, b^{6} \cosh\left(x\right)^{8} - 264 \, a b^{5} \cosh\left(x\right)^{7} + 420 \, {\left(a^{2} b^{4} - 2 \, b^{6}\right)} \cosh\left(x\right)^{6} + 16 \, a^{4} b^{2} - 40 \, a^{2} b^{4} + 29 \, b^{6} - 168 \, {\left(4 \, a^{3} b^{3} - 9 \, a b^{5}\right)} \cosh\left(x\right)^{5} + 70 \, {\left(16 \, a^{4} b^{2} - 40 \, a^{2} b^{4} + 29 \, b^{6}\right)} \cosh\left(x\right)^{4} - 1920 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} x \cosh\left(x\right)^{2} - 280 \, {\left(8 \, a^{5} b - 22 \, a^{3} b^{3} + 19 \, a b^{5}\right)} \cosh\left(x\right)^{3} - 40 \, {\left(8 \, a^{5} b - 22 \, a^{3} b^{3} + 19 \, a b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} - 20 \, {\left(4 \, a^{3} b^{3} - 9 \, a b^{5}\right)} \cosh\left(x\right)^{3} + 20 \, {\left(55 \, b^{6} \cosh\left(x\right)^{9} - 99 \, a b^{5} \cosh\left(x\right)^{8} + 180 \, {\left(a^{2} b^{4} - 2 \, b^{6}\right)} \cosh\left(x\right)^{7} - 84 \, {\left(4 \, a^{3} b^{3} - 9 \, a b^{5}\right)} \cosh\left(x\right)^{6} - 4 \, a^{3} b^{3} + 9 \, a b^{5} + 42 \, {\left(16 \, a^{4} b^{2} - 40 \, a^{2} b^{4} + 29 \, b^{6}\right)} \cosh\left(x\right)^{5} - 1920 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} x \cosh\left(x\right)^{3} - 210 \, {\left(8 \, a^{5} b - 22 \, a^{3} b^{3} + 19 \, a b^{5}\right)} \cosh\left(x\right)^{4} - 60 \, {\left(8 \, a^{5} b - 22 \, a^{3} b^{3} + 19 \, a b^{5}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(16 \, a^{4} b^{2} - 40 \, a^{2} b^{4} + 29 \, b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 30 \, {\left(a^{2} b^{4} - 2 \, b^{6}\right)} \cosh\left(x\right)^{2} + 30 \, {\left(11 \, b^{6} \cosh\left(x\right)^{10} - 22 \, a b^{5} \cosh\left(x\right)^{9} + 45 \, {\left(a^{2} b^{4} - 2 \, b^{6}\right)} \cosh\left(x\right)^{8} - 24 \, {\left(4 \, a^{3} b^{3} - 9 \, a b^{5}\right)} \cosh\left(x\right)^{7} + 14 \, {\left(16 \, a^{4} b^{2} - 40 \, a^{2} b^{4} + 29 \, b^{6}\right)} \cosh\left(x\right)^{6} + a^{2} b^{4} - 2 \, b^{6} - 960 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} x \cosh\left(x\right)^{4} - 84 \, {\left(8 \, a^{5} b - 22 \, a^{3} b^{3} + 19 \, a b^{5}\right)} \cosh\left(x\right)^{5} - 40 \, {\left(8 \, a^{5} b - 22 \, a^{3} b^{3} + 19 \, a b^{5}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(16 \, a^{4} b^{2} - 40 \, a^{2} b^{4} + 29 \, b^{6}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(4 \, a^{3} b^{3} - 9 \, a b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 1920 \, {\left({\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{5} \sinh\left(x\right) + 15 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{4} \sinh\left(x\right)^{2} + 20 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{3} \sinh\left(x\right)^{3} + 15 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{2} \sinh\left(x\right)^{4} + 6 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \sinh\left(x\right)^{6}\right)} \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 12 \, {\left(5 \, b^{6} \cosh\left(x\right)^{11} - 11 \, a b^{5} \cosh\left(x\right)^{10} + 25 \, {\left(a^{2} b^{4} - 2 \, b^{6}\right)} \cosh\left(x\right)^{9} - 15 \, {\left(4 \, a^{3} b^{3} - 9 \, a b^{5}\right)} \cosh\left(x\right)^{8} + 10 \, {\left(16 \, a^{4} b^{2} - 40 \, a^{2} b^{4} + 29 \, b^{6}\right)} \cosh\left(x\right)^{7} - 960 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} x \cosh\left(x\right)^{5} - 70 \, {\left(8 \, a^{5} b - 22 \, a^{3} b^{3} + 19 \, a b^{5}\right)} \cosh\left(x\right)^{6} - a b^{5} - 50 \, {\left(8 \, a^{5} b - 22 \, a^{3} b^{3} + 19 \, a b^{5}\right)} \cosh\left(x\right)^{4} + 5 \, {\left(16 \, a^{4} b^{2} - 40 \, a^{2} b^{4} + 29 \, b^{6}\right)} \cosh\left(x\right)^{3} - 5 \, {\left(4 \, a^{3} b^{3} - 9 \, a b^{5}\right)} \cosh\left(x\right)^{2} + 5 \, {\left(a^{2} b^{4} - 2 \, b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{1920 \, {\left(b^{7} \cosh\left(x\right)^{6} + 6 \, b^{7} \cosh\left(x\right)^{5} \sinh\left(x\right) + 15 \, b^{7} \cosh\left(x\right)^{4} \sinh\left(x\right)^{2} + 20 \, b^{7} \cosh\left(x\right)^{3} \sinh\left(x\right)^{3} + 15 \, b^{7} \cosh\left(x\right)^{2} \sinh\left(x\right)^{4} + 6 \, b^{7} \cosh\left(x\right) \sinh\left(x\right)^{5} + b^{7} \sinh\left(x\right)^{6}\right)}}"," ",0,"1/1920*(5*b^6*cosh(x)^12 + 5*b^6*sinh(x)^12 - 12*a*b^5*cosh(x)^11 + 12*(5*b^6*cosh(x) - a*b^5)*sinh(x)^11 + 30*(a^2*b^4 - 2*b^6)*cosh(x)^10 + 6*(55*b^6*cosh(x)^2 - 22*a*b^5*cosh(x) + 5*a^2*b^4 - 10*b^6)*sinh(x)^10 - 20*(4*a^3*b^3 - 9*a*b^5)*cosh(x)^9 + 20*(55*b^6*cosh(x)^3 - 33*a*b^5*cosh(x)^2 - 4*a^3*b^3 + 9*a*b^5 + 15*(a^2*b^4 - 2*b^6)*cosh(x))*sinh(x)^9 + 15*(16*a^4*b^2 - 40*a^2*b^4 + 29*b^6)*cosh(x)^8 + 15*(165*b^6*cosh(x)^4 - 132*a*b^5*cosh(x)^3 + 16*a^4*b^2 - 40*a^2*b^4 + 29*b^6 + 90*(a^2*b^4 - 2*b^6)*cosh(x)^2 - 12*(4*a^3*b^3 - 9*a*b^5)*cosh(x))*sinh(x)^8 - 1920*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*x*cosh(x)^6 - 120*(8*a^5*b - 22*a^3*b^3 + 19*a*b^5)*cosh(x)^7 + 120*(33*b^6*cosh(x)^5 - 33*a*b^5*cosh(x)^4 - 8*a^5*b + 22*a^3*b^3 - 19*a*b^5 + 30*(a^2*b^4 - 2*b^6)*cosh(x)^3 - 6*(4*a^3*b^3 - 9*a*b^5)*cosh(x)^2 + (16*a^4*b^2 - 40*a^2*b^4 + 29*b^6)*cosh(x))*sinh(x)^7 - 12*a*b^5*cosh(x) + 12*(385*b^6*cosh(x)^6 - 462*a*b^5*cosh(x)^5 + 525*(a^2*b^4 - 2*b^6)*cosh(x)^4 - 140*(4*a^3*b^3 - 9*a*b^5)*cosh(x)^3 + 35*(16*a^4*b^2 - 40*a^2*b^4 + 29*b^6)*cosh(x)^2 - 160*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*x - 70*(8*a^5*b - 22*a^3*b^3 + 19*a*b^5)*cosh(x))*sinh(x)^6 + 5*b^6 - 120*(8*a^5*b - 22*a^3*b^3 + 19*a*b^5)*cosh(x)^5 + 24*(165*b^6*cosh(x)^7 - 231*a*b^5*cosh(x)^6 - 40*a^5*b + 110*a^3*b^3 - 95*a*b^5 + 315*(a^2*b^4 - 2*b^6)*cosh(x)^5 - 105*(4*a^3*b^3 - 9*a*b^5)*cosh(x)^4 + 35*(16*a^4*b^2 - 40*a^2*b^4 + 29*b^6)*cosh(x)^3 - 480*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*x*cosh(x) - 105*(8*a^5*b - 22*a^3*b^3 + 19*a*b^5)*cosh(x)^2)*sinh(x)^5 + 15*(16*a^4*b^2 - 40*a^2*b^4 + 29*b^6)*cosh(x)^4 + 15*(165*b^6*cosh(x)^8 - 264*a*b^5*cosh(x)^7 + 420*(a^2*b^4 - 2*b^6)*cosh(x)^6 + 16*a^4*b^2 - 40*a^2*b^4 + 29*b^6 - 168*(4*a^3*b^3 - 9*a*b^5)*cosh(x)^5 + 70*(16*a^4*b^2 - 40*a^2*b^4 + 29*b^6)*cosh(x)^4 - 1920*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*x*cosh(x)^2 - 280*(8*a^5*b - 22*a^3*b^3 + 19*a*b^5)*cosh(x)^3 - 40*(8*a^5*b - 22*a^3*b^3 + 19*a*b^5)*cosh(x))*sinh(x)^4 - 20*(4*a^3*b^3 - 9*a*b^5)*cosh(x)^3 + 20*(55*b^6*cosh(x)^9 - 99*a*b^5*cosh(x)^8 + 180*(a^2*b^4 - 2*b^6)*cosh(x)^7 - 84*(4*a^3*b^3 - 9*a*b^5)*cosh(x)^6 - 4*a^3*b^3 + 9*a*b^5 + 42*(16*a^4*b^2 - 40*a^2*b^4 + 29*b^6)*cosh(x)^5 - 1920*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*x*cosh(x)^3 - 210*(8*a^5*b - 22*a^3*b^3 + 19*a*b^5)*cosh(x)^4 - 60*(8*a^5*b - 22*a^3*b^3 + 19*a*b^5)*cosh(x)^2 + 3*(16*a^4*b^2 - 40*a^2*b^4 + 29*b^6)*cosh(x))*sinh(x)^3 + 30*(a^2*b^4 - 2*b^6)*cosh(x)^2 + 30*(11*b^6*cosh(x)^10 - 22*a*b^5*cosh(x)^9 + 45*(a^2*b^4 - 2*b^6)*cosh(x)^8 - 24*(4*a^3*b^3 - 9*a*b^5)*cosh(x)^7 + 14*(16*a^4*b^2 - 40*a^2*b^4 + 29*b^6)*cosh(x)^6 + a^2*b^4 - 2*b^6 - 960*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*x*cosh(x)^4 - 84*(8*a^5*b - 22*a^3*b^3 + 19*a*b^5)*cosh(x)^5 - 40*(8*a^5*b - 22*a^3*b^3 + 19*a*b^5)*cosh(x)^3 + 3*(16*a^4*b^2 - 40*a^2*b^4 + 29*b^6)*cosh(x)^2 - 2*(4*a^3*b^3 - 9*a*b^5)*cosh(x))*sinh(x)^2 + 1920*((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^6 + 6*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^5*sinh(x) + 15*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^4*sinh(x)^2 + 20*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^3*sinh(x)^3 + 15*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^2*sinh(x)^4 + 6*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)*sinh(x)^5 + (a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*sinh(x)^6)*log(2*(b*cosh(x) + a)/(cosh(x) - sinh(x))) + 12*(5*b^6*cosh(x)^11 - 11*a*b^5*cosh(x)^10 + 25*(a^2*b^4 - 2*b^6)*cosh(x)^9 - 15*(4*a^3*b^3 - 9*a*b^5)*cosh(x)^8 + 10*(16*a^4*b^2 - 40*a^2*b^4 + 29*b^6)*cosh(x)^7 - 960*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*x*cosh(x)^5 - 70*(8*a^5*b - 22*a^3*b^3 + 19*a*b^5)*cosh(x)^6 - a*b^5 - 50*(8*a^5*b - 22*a^3*b^3 + 19*a*b^5)*cosh(x)^4 + 5*(16*a^4*b^2 - 40*a^2*b^4 + 29*b^6)*cosh(x)^3 - 5*(4*a^3*b^3 - 9*a*b^5)*cosh(x)^2 + 5*(a^2*b^4 - 2*b^6)*cosh(x))*sinh(x))/(b^7*cosh(x)^6 + 6*b^7*cosh(x)^5*sinh(x) + 15*b^7*cosh(x)^4*sinh(x)^2 + 20*b^7*cosh(x)^3*sinh(x)^3 + 15*b^7*cosh(x)^2*sinh(x)^4 + 6*b^7*cosh(x)*sinh(x)^5 + b^7*sinh(x)^6)","B",0
166,1,2913,0,1.508384," ","integrate(sinh(x)^6/(a+b*cosh(x)),x, algorithm=""fricas"")","\left[\frac{6 \, b^{5} \cosh\left(x\right)^{10} + 6 \, b^{5} \sinh\left(x\right)^{10} - 15 \, a b^{4} \cosh\left(x\right)^{9} + 15 \, {\left(4 \, b^{5} \cosh\left(x\right) - a b^{4}\right)} \sinh\left(x\right)^{9} + 10 \, {\left(4 \, a^{2} b^{3} - 7 \, b^{5}\right)} \cosh\left(x\right)^{8} + 5 \, {\left(54 \, b^{5} \cosh\left(x\right)^{2} - 27 \, a b^{4} \cosh\left(x\right) + 8 \, a^{2} b^{3} - 14 \, b^{5}\right)} \sinh\left(x\right)^{8} - 120 \, {\left(a^{3} b^{2} - 2 \, a b^{4}\right)} \cosh\left(x\right)^{7} + 20 \, {\left(36 \, b^{5} \cosh\left(x\right)^{3} - 27 \, a b^{4} \cosh\left(x\right)^{2} - 6 \, a^{3} b^{2} + 12 \, a b^{4} + 4 \, {\left(4 \, a^{2} b^{3} - 7 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} - 120 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} x \cosh\left(x\right)^{5} + 60 \, {\left(8 \, a^{4} b - 18 \, a^{2} b^{3} + 11 \, b^{5}\right)} \cosh\left(x\right)^{6} + 20 \, {\left(63 \, b^{5} \cosh\left(x\right)^{4} - 63 \, a b^{4} \cosh\left(x\right)^{3} + 24 \, a^{4} b - 54 \, a^{2} b^{3} + 33 \, b^{5} + 14 \, {\left(4 \, a^{2} b^{3} - 7 \, b^{5}\right)} \cosh\left(x\right)^{2} - 42 \, {\left(a^{3} b^{2} - 2 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} + 15 \, a b^{4} \cosh\left(x\right) + 2 \, {\left(756 \, b^{5} \cosh\left(x\right)^{5} - 945 \, a b^{4} \cosh\left(x\right)^{4} + 280 \, {\left(4 \, a^{2} b^{3} - 7 \, b^{5}\right)} \cosh\left(x\right)^{3} - 1260 \, {\left(a^{3} b^{2} - 2 \, a b^{4}\right)} \cosh\left(x\right)^{2} - 60 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} x + 180 \, {\left(8 \, a^{4} b - 18 \, a^{2} b^{3} + 11 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 6 \, b^{5} - 60 \, {\left(8 \, a^{4} b - 18 \, a^{2} b^{3} + 11 \, b^{5}\right)} \cosh\left(x\right)^{4} + 10 \, {\left(126 \, b^{5} \cosh\left(x\right)^{6} - 189 \, a b^{4} \cosh\left(x\right)^{5} - 48 \, a^{4} b + 108 \, a^{2} b^{3} - 66 \, b^{5} + 70 \, {\left(4 \, a^{2} b^{3} - 7 \, b^{5}\right)} \cosh\left(x\right)^{4} - 420 \, {\left(a^{3} b^{2} - 2 \, a b^{4}\right)} \cosh\left(x\right)^{3} - 60 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} x \cosh\left(x\right) + 90 \, {\left(8 \, a^{4} b - 18 \, a^{2} b^{3} + 11 \, b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 120 \, {\left(a^{3} b^{2} - 2 \, a b^{4}\right)} \cosh\left(x\right)^{3} + 20 \, {\left(36 \, b^{5} \cosh\left(x\right)^{7} - 63 \, a b^{4} \cosh\left(x\right)^{6} + 28 \, {\left(4 \, a^{2} b^{3} - 7 \, b^{5}\right)} \cosh\left(x\right)^{5} + 6 \, a^{3} b^{2} - 12 \, a b^{4} - 210 \, {\left(a^{3} b^{2} - 2 \, a b^{4}\right)} \cosh\left(x\right)^{4} - 60 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} x \cosh\left(x\right)^{2} + 60 \, {\left(8 \, a^{4} b - 18 \, a^{2} b^{3} + 11 \, b^{5}\right)} \cosh\left(x\right)^{3} - 12 \, {\left(8 \, a^{4} b - 18 \, a^{2} b^{3} + 11 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 10 \, {\left(4 \, a^{2} b^{3} - 7 \, b^{5}\right)} \cosh\left(x\right)^{2} + 10 \, {\left(27 \, b^{5} \cosh\left(x\right)^{8} - 54 \, a b^{4} \cosh\left(x\right)^{7} + 28 \, {\left(4 \, a^{2} b^{3} - 7 \, b^{5}\right)} \cosh\left(x\right)^{6} - 252 \, {\left(a^{3} b^{2} - 2 \, a b^{4}\right)} \cosh\left(x\right)^{5} - 4 \, a^{2} b^{3} + 7 \, b^{5} - 120 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} x \cosh\left(x\right)^{3} + 90 \, {\left(8 \, a^{4} b - 18 \, a^{2} b^{3} + 11 \, b^{5}\right)} \cosh\left(x\right)^{4} - 36 \, {\left(8 \, a^{4} b - 18 \, a^{2} b^{3} + 11 \, b^{5}\right)} \cosh\left(x\right)^{2} + 36 \, {\left(a^{3} b^{2} - 2 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 960 \, {\left({\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{4} \sinh\left(x\right) + 10 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{3} \sinh\left(x\right)^{2} + 10 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2} \sinh\left(x\right)^{3} + 5 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{4} + {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \sinh\left(x\right)^{5}\right)} \sqrt{a^{2} - b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b}\right) + 5 \, {\left(12 \, b^{5} \cosh\left(x\right)^{9} - 27 \, a b^{4} \cosh\left(x\right)^{8} + 16 \, {\left(4 \, a^{2} b^{3} - 7 \, b^{5}\right)} \cosh\left(x\right)^{7} - 168 \, {\left(a^{3} b^{2} - 2 \, a b^{4}\right)} \cosh\left(x\right)^{6} - 120 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} x \cosh\left(x\right)^{4} + 72 \, {\left(8 \, a^{4} b - 18 \, a^{2} b^{3} + 11 \, b^{5}\right)} \cosh\left(x\right)^{5} + 3 \, a b^{4} - 48 \, {\left(8 \, a^{4} b - 18 \, a^{2} b^{3} + 11 \, b^{5}\right)} \cosh\left(x\right)^{3} + 72 \, {\left(a^{3} b^{2} - 2 \, a b^{4}\right)} \cosh\left(x\right)^{2} - 4 \, {\left(4 \, a^{2} b^{3} - 7 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{960 \, {\left(b^{6} \cosh\left(x\right)^{5} + 5 \, b^{6} \cosh\left(x\right)^{4} \sinh\left(x\right) + 10 \, b^{6} \cosh\left(x\right)^{3} \sinh\left(x\right)^{2} + 10 \, b^{6} \cosh\left(x\right)^{2} \sinh\left(x\right)^{3} + 5 \, b^{6} \cosh\left(x\right) \sinh\left(x\right)^{4} + b^{6} \sinh\left(x\right)^{5}\right)}}, \frac{6 \, b^{5} \cosh\left(x\right)^{10} + 6 \, b^{5} \sinh\left(x\right)^{10} - 15 \, a b^{4} \cosh\left(x\right)^{9} + 15 \, {\left(4 \, b^{5} \cosh\left(x\right) - a b^{4}\right)} \sinh\left(x\right)^{9} + 10 \, {\left(4 \, a^{2} b^{3} - 7 \, b^{5}\right)} \cosh\left(x\right)^{8} + 5 \, {\left(54 \, b^{5} \cosh\left(x\right)^{2} - 27 \, a b^{4} \cosh\left(x\right) + 8 \, a^{2} b^{3} - 14 \, b^{5}\right)} \sinh\left(x\right)^{8} - 120 \, {\left(a^{3} b^{2} - 2 \, a b^{4}\right)} \cosh\left(x\right)^{7} + 20 \, {\left(36 \, b^{5} \cosh\left(x\right)^{3} - 27 \, a b^{4} \cosh\left(x\right)^{2} - 6 \, a^{3} b^{2} + 12 \, a b^{4} + 4 \, {\left(4 \, a^{2} b^{3} - 7 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} - 120 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} x \cosh\left(x\right)^{5} + 60 \, {\left(8 \, a^{4} b - 18 \, a^{2} b^{3} + 11 \, b^{5}\right)} \cosh\left(x\right)^{6} + 20 \, {\left(63 \, b^{5} \cosh\left(x\right)^{4} - 63 \, a b^{4} \cosh\left(x\right)^{3} + 24 \, a^{4} b - 54 \, a^{2} b^{3} + 33 \, b^{5} + 14 \, {\left(4 \, a^{2} b^{3} - 7 \, b^{5}\right)} \cosh\left(x\right)^{2} - 42 \, {\left(a^{3} b^{2} - 2 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} + 15 \, a b^{4} \cosh\left(x\right) + 2 \, {\left(756 \, b^{5} \cosh\left(x\right)^{5} - 945 \, a b^{4} \cosh\left(x\right)^{4} + 280 \, {\left(4 \, a^{2} b^{3} - 7 \, b^{5}\right)} \cosh\left(x\right)^{3} - 1260 \, {\left(a^{3} b^{2} - 2 \, a b^{4}\right)} \cosh\left(x\right)^{2} - 60 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} x + 180 \, {\left(8 \, a^{4} b - 18 \, a^{2} b^{3} + 11 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 6 \, b^{5} - 60 \, {\left(8 \, a^{4} b - 18 \, a^{2} b^{3} + 11 \, b^{5}\right)} \cosh\left(x\right)^{4} + 10 \, {\left(126 \, b^{5} \cosh\left(x\right)^{6} - 189 \, a b^{4} \cosh\left(x\right)^{5} - 48 \, a^{4} b + 108 \, a^{2} b^{3} - 66 \, b^{5} + 70 \, {\left(4 \, a^{2} b^{3} - 7 \, b^{5}\right)} \cosh\left(x\right)^{4} - 420 \, {\left(a^{3} b^{2} - 2 \, a b^{4}\right)} \cosh\left(x\right)^{3} - 60 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} x \cosh\left(x\right) + 90 \, {\left(8 \, a^{4} b - 18 \, a^{2} b^{3} + 11 \, b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 120 \, {\left(a^{3} b^{2} - 2 \, a b^{4}\right)} \cosh\left(x\right)^{3} + 20 \, {\left(36 \, b^{5} \cosh\left(x\right)^{7} - 63 \, a b^{4} \cosh\left(x\right)^{6} + 28 \, {\left(4 \, a^{2} b^{3} - 7 \, b^{5}\right)} \cosh\left(x\right)^{5} + 6 \, a^{3} b^{2} - 12 \, a b^{4} - 210 \, {\left(a^{3} b^{2} - 2 \, a b^{4}\right)} \cosh\left(x\right)^{4} - 60 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} x \cosh\left(x\right)^{2} + 60 \, {\left(8 \, a^{4} b - 18 \, a^{2} b^{3} + 11 \, b^{5}\right)} \cosh\left(x\right)^{3} - 12 \, {\left(8 \, a^{4} b - 18 \, a^{2} b^{3} + 11 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 10 \, {\left(4 \, a^{2} b^{3} - 7 \, b^{5}\right)} \cosh\left(x\right)^{2} + 10 \, {\left(27 \, b^{5} \cosh\left(x\right)^{8} - 54 \, a b^{4} \cosh\left(x\right)^{7} + 28 \, {\left(4 \, a^{2} b^{3} - 7 \, b^{5}\right)} \cosh\left(x\right)^{6} - 252 \, {\left(a^{3} b^{2} - 2 \, a b^{4}\right)} \cosh\left(x\right)^{5} - 4 \, a^{2} b^{3} + 7 \, b^{5} - 120 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} x \cosh\left(x\right)^{3} + 90 \, {\left(8 \, a^{4} b - 18 \, a^{2} b^{3} + 11 \, b^{5}\right)} \cosh\left(x\right)^{4} - 36 \, {\left(8 \, a^{4} b - 18 \, a^{2} b^{3} + 11 \, b^{5}\right)} \cosh\left(x\right)^{2} + 36 \, {\left(a^{3} b^{2} - 2 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 1920 \, {\left({\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{4} \sinh\left(x\right) + 10 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{3} \sinh\left(x\right)^{2} + 10 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2} \sinh\left(x\right)^{3} + 5 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{4} + {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \sinh\left(x\right)^{5}\right)} \sqrt{-a^{2} + b^{2}} \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{a^{2} - b^{2}}\right) + 5 \, {\left(12 \, b^{5} \cosh\left(x\right)^{9} - 27 \, a b^{4} \cosh\left(x\right)^{8} + 16 \, {\left(4 \, a^{2} b^{3} - 7 \, b^{5}\right)} \cosh\left(x\right)^{7} - 168 \, {\left(a^{3} b^{2} - 2 \, a b^{4}\right)} \cosh\left(x\right)^{6} - 120 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} x \cosh\left(x\right)^{4} + 72 \, {\left(8 \, a^{4} b - 18 \, a^{2} b^{3} + 11 \, b^{5}\right)} \cosh\left(x\right)^{5} + 3 \, a b^{4} - 48 \, {\left(8 \, a^{4} b - 18 \, a^{2} b^{3} + 11 \, b^{5}\right)} \cosh\left(x\right)^{3} + 72 \, {\left(a^{3} b^{2} - 2 \, a b^{4}\right)} \cosh\left(x\right)^{2} - 4 \, {\left(4 \, a^{2} b^{3} - 7 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{960 \, {\left(b^{6} \cosh\left(x\right)^{5} + 5 \, b^{6} \cosh\left(x\right)^{4} \sinh\left(x\right) + 10 \, b^{6} \cosh\left(x\right)^{3} \sinh\left(x\right)^{2} + 10 \, b^{6} \cosh\left(x\right)^{2} \sinh\left(x\right)^{3} + 5 \, b^{6} \cosh\left(x\right) \sinh\left(x\right)^{4} + b^{6} \sinh\left(x\right)^{5}\right)}}\right]"," ",0,"[1/960*(6*b^5*cosh(x)^10 + 6*b^5*sinh(x)^10 - 15*a*b^4*cosh(x)^9 + 15*(4*b^5*cosh(x) - a*b^4)*sinh(x)^9 + 10*(4*a^2*b^3 - 7*b^5)*cosh(x)^8 + 5*(54*b^5*cosh(x)^2 - 27*a*b^4*cosh(x) + 8*a^2*b^3 - 14*b^5)*sinh(x)^8 - 120*(a^3*b^2 - 2*a*b^4)*cosh(x)^7 + 20*(36*b^5*cosh(x)^3 - 27*a*b^4*cosh(x)^2 - 6*a^3*b^2 + 12*a*b^4 + 4*(4*a^2*b^3 - 7*b^5)*cosh(x))*sinh(x)^7 - 120*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*x*cosh(x)^5 + 60*(8*a^4*b - 18*a^2*b^3 + 11*b^5)*cosh(x)^6 + 20*(63*b^5*cosh(x)^4 - 63*a*b^4*cosh(x)^3 + 24*a^4*b - 54*a^2*b^3 + 33*b^5 + 14*(4*a^2*b^3 - 7*b^5)*cosh(x)^2 - 42*(a^3*b^2 - 2*a*b^4)*cosh(x))*sinh(x)^6 + 15*a*b^4*cosh(x) + 2*(756*b^5*cosh(x)^5 - 945*a*b^4*cosh(x)^4 + 280*(4*a^2*b^3 - 7*b^5)*cosh(x)^3 - 1260*(a^3*b^2 - 2*a*b^4)*cosh(x)^2 - 60*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*x + 180*(8*a^4*b - 18*a^2*b^3 + 11*b^5)*cosh(x))*sinh(x)^5 - 6*b^5 - 60*(8*a^4*b - 18*a^2*b^3 + 11*b^5)*cosh(x)^4 + 10*(126*b^5*cosh(x)^6 - 189*a*b^4*cosh(x)^5 - 48*a^4*b + 108*a^2*b^3 - 66*b^5 + 70*(4*a^2*b^3 - 7*b^5)*cosh(x)^4 - 420*(a^3*b^2 - 2*a*b^4)*cosh(x)^3 - 60*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*x*cosh(x) + 90*(8*a^4*b - 18*a^2*b^3 + 11*b^5)*cosh(x)^2)*sinh(x)^4 + 120*(a^3*b^2 - 2*a*b^4)*cosh(x)^3 + 20*(36*b^5*cosh(x)^7 - 63*a*b^4*cosh(x)^6 + 28*(4*a^2*b^3 - 7*b^5)*cosh(x)^5 + 6*a^3*b^2 - 12*a*b^4 - 210*(a^3*b^2 - 2*a*b^4)*cosh(x)^4 - 60*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*x*cosh(x)^2 + 60*(8*a^4*b - 18*a^2*b^3 + 11*b^5)*cosh(x)^3 - 12*(8*a^4*b - 18*a^2*b^3 + 11*b^5)*cosh(x))*sinh(x)^3 - 10*(4*a^2*b^3 - 7*b^5)*cosh(x)^2 + 10*(27*b^5*cosh(x)^8 - 54*a*b^4*cosh(x)^7 + 28*(4*a^2*b^3 - 7*b^5)*cosh(x)^6 - 252*(a^3*b^2 - 2*a*b^4)*cosh(x)^5 - 4*a^2*b^3 + 7*b^5 - 120*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*x*cosh(x)^3 + 90*(8*a^4*b - 18*a^2*b^3 + 11*b^5)*cosh(x)^4 - 36*(8*a^4*b - 18*a^2*b^3 + 11*b^5)*cosh(x)^2 + 36*(a^3*b^2 - 2*a*b^4)*cosh(x))*sinh(x)^2 + 960*((a^4 - 2*a^2*b^2 + b^4)*cosh(x)^5 + 5*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^4*sinh(x) + 10*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^3*sinh(x)^2 + 10*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^2*sinh(x)^3 + 5*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)*sinh(x)^4 + (a^4 - 2*a^2*b^2 + b^4)*sinh(x)^5)*sqrt(a^2 - b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 - b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 - b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) + b)) + 5*(12*b^5*cosh(x)^9 - 27*a*b^4*cosh(x)^8 + 16*(4*a^2*b^3 - 7*b^5)*cosh(x)^7 - 168*(a^3*b^2 - 2*a*b^4)*cosh(x)^6 - 120*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*x*cosh(x)^4 + 72*(8*a^4*b - 18*a^2*b^3 + 11*b^5)*cosh(x)^5 + 3*a*b^4 - 48*(8*a^4*b - 18*a^2*b^3 + 11*b^5)*cosh(x)^3 + 72*(a^3*b^2 - 2*a*b^4)*cosh(x)^2 - 4*(4*a^2*b^3 - 7*b^5)*cosh(x))*sinh(x))/(b^6*cosh(x)^5 + 5*b^6*cosh(x)^4*sinh(x) + 10*b^6*cosh(x)^3*sinh(x)^2 + 10*b^6*cosh(x)^2*sinh(x)^3 + 5*b^6*cosh(x)*sinh(x)^4 + b^6*sinh(x)^5), 1/960*(6*b^5*cosh(x)^10 + 6*b^5*sinh(x)^10 - 15*a*b^4*cosh(x)^9 + 15*(4*b^5*cosh(x) - a*b^4)*sinh(x)^9 + 10*(4*a^2*b^3 - 7*b^5)*cosh(x)^8 + 5*(54*b^5*cosh(x)^2 - 27*a*b^4*cosh(x) + 8*a^2*b^3 - 14*b^5)*sinh(x)^8 - 120*(a^3*b^2 - 2*a*b^4)*cosh(x)^7 + 20*(36*b^5*cosh(x)^3 - 27*a*b^4*cosh(x)^2 - 6*a^3*b^2 + 12*a*b^4 + 4*(4*a^2*b^3 - 7*b^5)*cosh(x))*sinh(x)^7 - 120*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*x*cosh(x)^5 + 60*(8*a^4*b - 18*a^2*b^3 + 11*b^5)*cosh(x)^6 + 20*(63*b^5*cosh(x)^4 - 63*a*b^4*cosh(x)^3 + 24*a^4*b - 54*a^2*b^3 + 33*b^5 + 14*(4*a^2*b^3 - 7*b^5)*cosh(x)^2 - 42*(a^3*b^2 - 2*a*b^4)*cosh(x))*sinh(x)^6 + 15*a*b^4*cosh(x) + 2*(756*b^5*cosh(x)^5 - 945*a*b^4*cosh(x)^4 + 280*(4*a^2*b^3 - 7*b^5)*cosh(x)^3 - 1260*(a^3*b^2 - 2*a*b^4)*cosh(x)^2 - 60*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*x + 180*(8*a^4*b - 18*a^2*b^3 + 11*b^5)*cosh(x))*sinh(x)^5 - 6*b^5 - 60*(8*a^4*b - 18*a^2*b^3 + 11*b^5)*cosh(x)^4 + 10*(126*b^5*cosh(x)^6 - 189*a*b^4*cosh(x)^5 - 48*a^4*b + 108*a^2*b^3 - 66*b^5 + 70*(4*a^2*b^3 - 7*b^5)*cosh(x)^4 - 420*(a^3*b^2 - 2*a*b^4)*cosh(x)^3 - 60*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*x*cosh(x) + 90*(8*a^4*b - 18*a^2*b^3 + 11*b^5)*cosh(x)^2)*sinh(x)^4 + 120*(a^3*b^2 - 2*a*b^4)*cosh(x)^3 + 20*(36*b^5*cosh(x)^7 - 63*a*b^4*cosh(x)^6 + 28*(4*a^2*b^3 - 7*b^5)*cosh(x)^5 + 6*a^3*b^2 - 12*a*b^4 - 210*(a^3*b^2 - 2*a*b^4)*cosh(x)^4 - 60*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*x*cosh(x)^2 + 60*(8*a^4*b - 18*a^2*b^3 + 11*b^5)*cosh(x)^3 - 12*(8*a^4*b - 18*a^2*b^3 + 11*b^5)*cosh(x))*sinh(x)^3 - 10*(4*a^2*b^3 - 7*b^5)*cosh(x)^2 + 10*(27*b^5*cosh(x)^8 - 54*a*b^4*cosh(x)^7 + 28*(4*a^2*b^3 - 7*b^5)*cosh(x)^6 - 252*(a^3*b^2 - 2*a*b^4)*cosh(x)^5 - 4*a^2*b^3 + 7*b^5 - 120*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*x*cosh(x)^3 + 90*(8*a^4*b - 18*a^2*b^3 + 11*b^5)*cosh(x)^4 - 36*(8*a^4*b - 18*a^2*b^3 + 11*b^5)*cosh(x)^2 + 36*(a^3*b^2 - 2*a*b^4)*cosh(x))*sinh(x)^2 - 1920*((a^4 - 2*a^2*b^2 + b^4)*cosh(x)^5 + 5*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^4*sinh(x) + 10*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^3*sinh(x)^2 + 10*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^2*sinh(x)^3 + 5*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)*sinh(x)^4 + (a^4 - 2*a^2*b^2 + b^4)*sinh(x)^5)*sqrt(-a^2 + b^2)*arctan(-sqrt(-a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a)/(a^2 - b^2)) + 5*(12*b^5*cosh(x)^9 - 27*a*b^4*cosh(x)^8 + 16*(4*a^2*b^3 - 7*b^5)*cosh(x)^7 - 168*(a^3*b^2 - 2*a*b^4)*cosh(x)^6 - 120*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*x*cosh(x)^4 + 72*(8*a^4*b - 18*a^2*b^3 + 11*b^5)*cosh(x)^5 + 3*a*b^4 - 48*(8*a^4*b - 18*a^2*b^3 + 11*b^5)*cosh(x)^3 + 72*(a^3*b^2 - 2*a*b^4)*cosh(x)^2 - 4*(4*a^2*b^3 - 7*b^5)*cosh(x))*sinh(x))/(b^6*cosh(x)^5 + 5*b^6*cosh(x)^4*sinh(x) + 10*b^6*cosh(x)^3*sinh(x)^2 + 10*b^6*cosh(x)^2*sinh(x)^3 + 5*b^6*cosh(x)*sinh(x)^4 + b^6*sinh(x)^5)]","B",0
167,1,866,0,1.029140," ","integrate(sinh(x)^5/(a+b*cosh(x)),x, algorithm=""fricas"")","\frac{3 \, b^{4} \cosh\left(x\right)^{8} + 3 \, b^{4} \sinh\left(x\right)^{8} - 8 \, a b^{3} \cosh\left(x\right)^{7} + 8 \, {\left(3 \, b^{4} \cosh\left(x\right) - a b^{3}\right)} \sinh\left(x\right)^{7} + 12 \, {\left(2 \, a^{2} b^{2} - 3 \, b^{4}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(21 \, b^{4} \cosh\left(x\right)^{2} - 14 \, a b^{3} \cosh\left(x\right) + 6 \, a^{2} b^{2} - 9 \, b^{4}\right)} \sinh\left(x\right)^{6} - 192 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} x \cosh\left(x\right)^{4} - 24 \, {\left(4 \, a^{3} b - 7 \, a b^{3}\right)} \cosh\left(x\right)^{5} + 24 \, {\left(7 \, b^{4} \cosh\left(x\right)^{3} - 7 \, a b^{3} \cosh\left(x\right)^{2} - 4 \, a^{3} b + 7 \, a b^{3} + 3 \, {\left(2 \, a^{2} b^{2} - 3 \, b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 8 \, a b^{3} \cosh\left(x\right) + 2 \, {\left(105 \, b^{4} \cosh\left(x\right)^{4} - 140 \, a b^{3} \cosh\left(x\right)^{3} + 90 \, {\left(2 \, a^{2} b^{2} - 3 \, b^{4}\right)} \cosh\left(x\right)^{2} - 96 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} x - 60 \, {\left(4 \, a^{3} b - 7 \, a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 3 \, b^{4} - 24 \, {\left(4 \, a^{3} b - 7 \, a b^{3}\right)} \cosh\left(x\right)^{3} + 8 \, {\left(21 \, b^{4} \cosh\left(x\right)^{5} - 35 \, a b^{3} \cosh\left(x\right)^{4} - 12 \, a^{3} b + 21 \, a b^{3} + 30 \, {\left(2 \, a^{2} b^{2} - 3 \, b^{4}\right)} \cosh\left(x\right)^{3} - 96 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} x \cosh\left(x\right) - 30 \, {\left(4 \, a^{3} b - 7 \, a b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{3} + 12 \, {\left(2 \, a^{2} b^{2} - 3 \, b^{4}\right)} \cosh\left(x\right)^{2} + 12 \, {\left(7 \, b^{4} \cosh\left(x\right)^{6} - 14 \, a b^{3} \cosh\left(x\right)^{5} + 15 \, {\left(2 \, a^{2} b^{2} - 3 \, b^{4}\right)} \cosh\left(x\right)^{4} + 2 \, a^{2} b^{2} - 3 \, b^{4} - 96 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} x \cosh\left(x\right)^{2} - 20 \, {\left(4 \, a^{3} b - 7 \, a b^{3}\right)} \cosh\left(x\right)^{3} - 6 \, {\left(4 \, a^{3} b - 7 \, a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 192 \, {\left({\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{3} \sinh\left(x\right) + 6 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2} \sinh\left(x\right)^{2} + 4 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \sinh\left(x\right)^{4}\right)} \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 8 \, {\left(3 \, b^{4} \cosh\left(x\right)^{7} - 7 \, a b^{3} \cosh\left(x\right)^{6} + 9 \, {\left(2 \, a^{2} b^{2} - 3 \, b^{4}\right)} \cosh\left(x\right)^{5} - 96 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} x \cosh\left(x\right)^{3} - 15 \, {\left(4 \, a^{3} b - 7 \, a b^{3}\right)} \cosh\left(x\right)^{4} - a b^{3} - 9 \, {\left(4 \, a^{3} b - 7 \, a b^{3}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(2 \, a^{2} b^{2} - 3 \, b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{192 \, {\left(b^{5} \cosh\left(x\right)^{4} + 4 \, b^{5} \cosh\left(x\right)^{3} \sinh\left(x\right) + 6 \, b^{5} \cosh\left(x\right)^{2} \sinh\left(x\right)^{2} + 4 \, b^{5} \cosh\left(x\right) \sinh\left(x\right)^{3} + b^{5} \sinh\left(x\right)^{4}\right)}}"," ",0,"1/192*(3*b^4*cosh(x)^8 + 3*b^4*sinh(x)^8 - 8*a*b^3*cosh(x)^7 + 8*(3*b^4*cosh(x) - a*b^3)*sinh(x)^7 + 12*(2*a^2*b^2 - 3*b^4)*cosh(x)^6 + 4*(21*b^4*cosh(x)^2 - 14*a*b^3*cosh(x) + 6*a^2*b^2 - 9*b^4)*sinh(x)^6 - 192*(a^4 - 2*a^2*b^2 + b^4)*x*cosh(x)^4 - 24*(4*a^3*b - 7*a*b^3)*cosh(x)^5 + 24*(7*b^4*cosh(x)^3 - 7*a*b^3*cosh(x)^2 - 4*a^3*b + 7*a*b^3 + 3*(2*a^2*b^2 - 3*b^4)*cosh(x))*sinh(x)^5 - 8*a*b^3*cosh(x) + 2*(105*b^4*cosh(x)^4 - 140*a*b^3*cosh(x)^3 + 90*(2*a^2*b^2 - 3*b^4)*cosh(x)^2 - 96*(a^4 - 2*a^2*b^2 + b^4)*x - 60*(4*a^3*b - 7*a*b^3)*cosh(x))*sinh(x)^4 + 3*b^4 - 24*(4*a^3*b - 7*a*b^3)*cosh(x)^3 + 8*(21*b^4*cosh(x)^5 - 35*a*b^3*cosh(x)^4 - 12*a^3*b + 21*a*b^3 + 30*(2*a^2*b^2 - 3*b^4)*cosh(x)^3 - 96*(a^4 - 2*a^2*b^2 + b^4)*x*cosh(x) - 30*(4*a^3*b - 7*a*b^3)*cosh(x)^2)*sinh(x)^3 + 12*(2*a^2*b^2 - 3*b^4)*cosh(x)^2 + 12*(7*b^4*cosh(x)^6 - 14*a*b^3*cosh(x)^5 + 15*(2*a^2*b^2 - 3*b^4)*cosh(x)^4 + 2*a^2*b^2 - 3*b^4 - 96*(a^4 - 2*a^2*b^2 + b^4)*x*cosh(x)^2 - 20*(4*a^3*b - 7*a*b^3)*cosh(x)^3 - 6*(4*a^3*b - 7*a*b^3)*cosh(x))*sinh(x)^2 + 192*((a^4 - 2*a^2*b^2 + b^4)*cosh(x)^4 + 4*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^3*sinh(x) + 6*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^2*sinh(x)^2 + 4*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)*sinh(x)^3 + (a^4 - 2*a^2*b^2 + b^4)*sinh(x)^4)*log(2*(b*cosh(x) + a)/(cosh(x) - sinh(x))) + 8*(3*b^4*cosh(x)^7 - 7*a*b^3*cosh(x)^6 + 9*(2*a^2*b^2 - 3*b^4)*cosh(x)^5 - 96*(a^4 - 2*a^2*b^2 + b^4)*x*cosh(x)^3 - 15*(4*a^3*b - 7*a*b^3)*cosh(x)^4 - a*b^3 - 9*(4*a^3*b - 7*a*b^3)*cosh(x)^2 + 3*(2*a^2*b^2 - 3*b^4)*cosh(x))*sinh(x))/(b^5*cosh(x)^4 + 4*b^5*cosh(x)^3*sinh(x) + 6*b^5*cosh(x)^2*sinh(x)^2 + 4*b^5*cosh(x)*sinh(x)^3 + b^5*sinh(x)^4)","B",0
168,1,1099,0,2.778479," ","integrate(sinh(x)^4/(a+b*cosh(x)),x, algorithm=""fricas"")","\left[\frac{b^{3} \cosh\left(x\right)^{6} + b^{3} \sinh\left(x\right)^{6} - 3 \, a b^{2} \cosh\left(x\right)^{5} + 3 \, {\left(2 \, b^{3} \cosh\left(x\right) - a b^{2}\right)} \sinh\left(x\right)^{5} - 12 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} x \cosh\left(x\right)^{3} + 3 \, {\left(4 \, a^{2} b - 5 \, b^{3}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(5 \, b^{3} \cosh\left(x\right)^{2} - 5 \, a b^{2} \cosh\left(x\right) + 4 \, a^{2} b - 5 \, b^{3}\right)} \sinh\left(x\right)^{4} + 3 \, a b^{2} \cosh\left(x\right) + 2 \, {\left(10 \, b^{3} \cosh\left(x\right)^{3} - 15 \, a b^{2} \cosh\left(x\right)^{2} - 6 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} x + 6 \, {\left(4 \, a^{2} b - 5 \, b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - b^{3} - 3 \, {\left(4 \, a^{2} b - 5 \, b^{3}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, b^{3} \cosh\left(x\right)^{4} - 10 \, a b^{2} \cosh\left(x\right)^{3} - 4 \, a^{2} b + 5 \, b^{3} - 12 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} x \cosh\left(x\right) + 6 \, {\left(4 \, a^{2} b - 5 \, b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} - 24 \, {\left({\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{2} \sinh\left(x\right) + 3 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(a^{2} - b^{2}\right)} \sinh\left(x\right)^{3}\right)} \sqrt{a^{2} - b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b}\right) + 3 \, {\left(2 \, b^{3} \cosh\left(x\right)^{5} - 5 \, a b^{2} \cosh\left(x\right)^{4} - 12 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} x \cosh\left(x\right)^{2} + 4 \, {\left(4 \, a^{2} b - 5 \, b^{3}\right)} \cosh\left(x\right)^{3} + a b^{2} - 2 \, {\left(4 \, a^{2} b - 5 \, b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{24 \, {\left(b^{4} \cosh\left(x\right)^{3} + 3 \, b^{4} \cosh\left(x\right)^{2} \sinh\left(x\right) + 3 \, b^{4} \cosh\left(x\right) \sinh\left(x\right)^{2} + b^{4} \sinh\left(x\right)^{3}\right)}}, \frac{b^{3} \cosh\left(x\right)^{6} + b^{3} \sinh\left(x\right)^{6} - 3 \, a b^{2} \cosh\left(x\right)^{5} + 3 \, {\left(2 \, b^{3} \cosh\left(x\right) - a b^{2}\right)} \sinh\left(x\right)^{5} - 12 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} x \cosh\left(x\right)^{3} + 3 \, {\left(4 \, a^{2} b - 5 \, b^{3}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(5 \, b^{3} \cosh\left(x\right)^{2} - 5 \, a b^{2} \cosh\left(x\right) + 4 \, a^{2} b - 5 \, b^{3}\right)} \sinh\left(x\right)^{4} + 3 \, a b^{2} \cosh\left(x\right) + 2 \, {\left(10 \, b^{3} \cosh\left(x\right)^{3} - 15 \, a b^{2} \cosh\left(x\right)^{2} - 6 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} x + 6 \, {\left(4 \, a^{2} b - 5 \, b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - b^{3} - 3 \, {\left(4 \, a^{2} b - 5 \, b^{3}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, b^{3} \cosh\left(x\right)^{4} - 10 \, a b^{2} \cosh\left(x\right)^{3} - 4 \, a^{2} b + 5 \, b^{3} - 12 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} x \cosh\left(x\right) + 6 \, {\left(4 \, a^{2} b - 5 \, b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} - 48 \, {\left({\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{2} \sinh\left(x\right) + 3 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(a^{2} - b^{2}\right)} \sinh\left(x\right)^{3}\right)} \sqrt{-a^{2} + b^{2}} \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{a^{2} - b^{2}}\right) + 3 \, {\left(2 \, b^{3} \cosh\left(x\right)^{5} - 5 \, a b^{2} \cosh\left(x\right)^{4} - 12 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} x \cosh\left(x\right)^{2} + 4 \, {\left(4 \, a^{2} b - 5 \, b^{3}\right)} \cosh\left(x\right)^{3} + a b^{2} - 2 \, {\left(4 \, a^{2} b - 5 \, b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{24 \, {\left(b^{4} \cosh\left(x\right)^{3} + 3 \, b^{4} \cosh\left(x\right)^{2} \sinh\left(x\right) + 3 \, b^{4} \cosh\left(x\right) \sinh\left(x\right)^{2} + b^{4} \sinh\left(x\right)^{3}\right)}}\right]"," ",0,"[1/24*(b^3*cosh(x)^6 + b^3*sinh(x)^6 - 3*a*b^2*cosh(x)^5 + 3*(2*b^3*cosh(x) - a*b^2)*sinh(x)^5 - 12*(2*a^3 - 3*a*b^2)*x*cosh(x)^3 + 3*(4*a^2*b - 5*b^3)*cosh(x)^4 + 3*(5*b^3*cosh(x)^2 - 5*a*b^2*cosh(x) + 4*a^2*b - 5*b^3)*sinh(x)^4 + 3*a*b^2*cosh(x) + 2*(10*b^3*cosh(x)^3 - 15*a*b^2*cosh(x)^2 - 6*(2*a^3 - 3*a*b^2)*x + 6*(4*a^2*b - 5*b^3)*cosh(x))*sinh(x)^3 - b^3 - 3*(4*a^2*b - 5*b^3)*cosh(x)^2 + 3*(5*b^3*cosh(x)^4 - 10*a*b^2*cosh(x)^3 - 4*a^2*b + 5*b^3 - 12*(2*a^3 - 3*a*b^2)*x*cosh(x) + 6*(4*a^2*b - 5*b^3)*cosh(x)^2)*sinh(x)^2 - 24*((a^2 - b^2)*cosh(x)^3 + 3*(a^2 - b^2)*cosh(x)^2*sinh(x) + 3*(a^2 - b^2)*cosh(x)*sinh(x)^2 + (a^2 - b^2)*sinh(x)^3)*sqrt(a^2 - b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 - b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 - b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) + b)) + 3*(2*b^3*cosh(x)^5 - 5*a*b^2*cosh(x)^4 - 12*(2*a^3 - 3*a*b^2)*x*cosh(x)^2 + 4*(4*a^2*b - 5*b^3)*cosh(x)^3 + a*b^2 - 2*(4*a^2*b - 5*b^3)*cosh(x))*sinh(x))/(b^4*cosh(x)^3 + 3*b^4*cosh(x)^2*sinh(x) + 3*b^4*cosh(x)*sinh(x)^2 + b^4*sinh(x)^3), 1/24*(b^3*cosh(x)^6 + b^3*sinh(x)^6 - 3*a*b^2*cosh(x)^5 + 3*(2*b^3*cosh(x) - a*b^2)*sinh(x)^5 - 12*(2*a^3 - 3*a*b^2)*x*cosh(x)^3 + 3*(4*a^2*b - 5*b^3)*cosh(x)^4 + 3*(5*b^3*cosh(x)^2 - 5*a*b^2*cosh(x) + 4*a^2*b - 5*b^3)*sinh(x)^4 + 3*a*b^2*cosh(x) + 2*(10*b^3*cosh(x)^3 - 15*a*b^2*cosh(x)^2 - 6*(2*a^3 - 3*a*b^2)*x + 6*(4*a^2*b - 5*b^3)*cosh(x))*sinh(x)^3 - b^3 - 3*(4*a^2*b - 5*b^3)*cosh(x)^2 + 3*(5*b^3*cosh(x)^4 - 10*a*b^2*cosh(x)^3 - 4*a^2*b + 5*b^3 - 12*(2*a^3 - 3*a*b^2)*x*cosh(x) + 6*(4*a^2*b - 5*b^3)*cosh(x)^2)*sinh(x)^2 - 48*((a^2 - b^2)*cosh(x)^3 + 3*(a^2 - b^2)*cosh(x)^2*sinh(x) + 3*(a^2 - b^2)*cosh(x)*sinh(x)^2 + (a^2 - b^2)*sinh(x)^3)*sqrt(-a^2 + b^2)*arctan(-sqrt(-a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a)/(a^2 - b^2)) + 3*(2*b^3*cosh(x)^5 - 5*a*b^2*cosh(x)^4 - 12*(2*a^3 - 3*a*b^2)*x*cosh(x)^2 + 4*(4*a^2*b - 5*b^3)*cosh(x)^3 + a*b^2 - 2*(4*a^2*b - 5*b^3)*cosh(x))*sinh(x))/(b^4*cosh(x)^3 + 3*b^4*cosh(x)^2*sinh(x) + 3*b^4*cosh(x)*sinh(x)^2 + b^4*sinh(x)^3)]","B",0
169,1,234,0,1.416435," ","integrate(sinh(x)^3/(a+b*cosh(x)),x, algorithm=""fricas"")","\frac{b^{2} \cosh\left(x\right)^{4} + b^{2} \sinh\left(x\right)^{4} - 4 \, a b \cosh\left(x\right)^{3} - 8 \, {\left(a^{2} - b^{2}\right)} x \cosh\left(x\right)^{2} + 4 \, {\left(b^{2} \cosh\left(x\right) - a b\right)} \sinh\left(x\right)^{3} - 4 \, a b \cosh\left(x\right) + 2 \, {\left(3 \, b^{2} \cosh\left(x\right)^{2} - 6 \, a b \cosh\left(x\right) - 4 \, {\left(a^{2} - b^{2}\right)} x\right)} \sinh\left(x\right)^{2} + b^{2} + 8 \, {\left({\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a^{2} - b^{2}\right)} \sinh\left(x\right)^{2}\right)} \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 4 \, {\left(b^{2} \cosh\left(x\right)^{3} - 3 \, a b \cosh\left(x\right)^{2} - 4 \, {\left(a^{2} - b^{2}\right)} x \cosh\left(x\right) - a b\right)} \sinh\left(x\right)}{8 \, {\left(b^{3} \cosh\left(x\right)^{2} + 2 \, b^{3} \cosh\left(x\right) \sinh\left(x\right) + b^{3} \sinh\left(x\right)^{2}\right)}}"," ",0,"1/8*(b^2*cosh(x)^4 + b^2*sinh(x)^4 - 4*a*b*cosh(x)^3 - 8*(a^2 - b^2)*x*cosh(x)^2 + 4*(b^2*cosh(x) - a*b)*sinh(x)^3 - 4*a*b*cosh(x) + 2*(3*b^2*cosh(x)^2 - 6*a*b*cosh(x) - 4*(a^2 - b^2)*x)*sinh(x)^2 + b^2 + 8*((a^2 - b^2)*cosh(x)^2 + 2*(a^2 - b^2)*cosh(x)*sinh(x) + (a^2 - b^2)*sinh(x)^2)*log(2*(b*cosh(x) + a)/(cosh(x) - sinh(x))) + 4*(b^2*cosh(x)^3 - 3*a*b*cosh(x)^2 - 4*(a^2 - b^2)*x*cosh(x) - a*b)*sinh(x))/(b^3*cosh(x)^2 + 2*b^3*cosh(x)*sinh(x) + b^3*sinh(x)^2)","B",0
170,1,279,0,1.288086," ","integrate(sinh(x)^2/(a+b*cosh(x)),x, algorithm=""fricas"")","\left[-\frac{2 \, a x \cosh\left(x\right) - b \cosh\left(x\right)^{2} - b \sinh\left(x\right)^{2} - 2 \, \sqrt{a^{2} - b^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b}\right) + 2 \, {\left(a x - b \cosh\left(x\right)\right)} \sinh\left(x\right) + b}{2 \, {\left(b^{2} \cosh\left(x\right) + b^{2} \sinh\left(x\right)\right)}}, -\frac{2 \, a x \cosh\left(x\right) - b \cosh\left(x\right)^{2} - b \sinh\left(x\right)^{2} + 4 \, \sqrt{-a^{2} + b^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{a^{2} - b^{2}}\right) + 2 \, {\left(a x - b \cosh\left(x\right)\right)} \sinh\left(x\right) + b}{2 \, {\left(b^{2} \cosh\left(x\right) + b^{2} \sinh\left(x\right)\right)}}\right]"," ",0,"[-1/2*(2*a*x*cosh(x) - b*cosh(x)^2 - b*sinh(x)^2 - 2*sqrt(a^2 - b^2)*(cosh(x) + sinh(x))*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 - b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 - b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) + b)) + 2*(a*x - b*cosh(x))*sinh(x) + b)/(b^2*cosh(x) + b^2*sinh(x)), -1/2*(2*a*x*cosh(x) - b*cosh(x)^2 - b*sinh(x)^2 + 4*sqrt(-a^2 + b^2)*(cosh(x) + sinh(x))*arctan(-sqrt(-a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a)/(a^2 - b^2)) + 2*(a*x - b*cosh(x))*sinh(x) + b)/(b^2*cosh(x) + b^2*sinh(x))]","B",0
171,1,27,0,0.843131," ","integrate(sinh(x)/(a+b*cosh(x)),x, algorithm=""fricas"")","-\frac{x - \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{b}"," ",0,"-(x - log(2*(b*cosh(x) + a)/(cosh(x) - sinh(x))))/b","B",0
172,1,58,0,0.620425," ","integrate(csch(x)/(a+b*cosh(x)),x, algorithm=""fricas"")","\frac{b \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - {\left(a + b\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + {\left(a - b\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right)}{a^{2} - b^{2}}"," ",0,"(b*log(2*(b*cosh(x) + a)/(cosh(x) - sinh(x))) - (a + b)*log(cosh(x) + sinh(x) + 1) + (a - b)*log(cosh(x) + sinh(x) - 1))/(a^2 - b^2)","A",0
173,1,470,0,0.602103," ","integrate(csch(x)^2/(a+b*cosh(x)),x, algorithm=""fricas"")","\left[\frac{2 \, a^{3} - 2 \, a b^{2} + {\left(b^{2} \cosh\left(x\right)^{2} + 2 \, b^{2} \cosh\left(x\right) \sinh\left(x\right) + b^{2} \sinh\left(x\right)^{2} - b^{2}\right)} \sqrt{a^{2} - b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b}\right) - 2 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right) - 2 \, {\left(a^{2} b - b^{3}\right)} \sinh\left(x\right)}{a^{4} - 2 \, a^{2} b^{2} + b^{4} - {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right) - {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \sinh\left(x\right)^{2}}, \frac{2 \, {\left(a^{3} - a b^{2} + {\left(b^{2} \cosh\left(x\right)^{2} + 2 \, b^{2} \cosh\left(x\right) \sinh\left(x\right) + b^{2} \sinh\left(x\right)^{2} - b^{2}\right)} \sqrt{-a^{2} + b^{2}} \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{a^{2} - b^{2}}\right) - {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right) - {\left(a^{2} b - b^{3}\right)} \sinh\left(x\right)\right)}}{a^{4} - 2 \, a^{2} b^{2} + b^{4} - {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right) - {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \sinh\left(x\right)^{2}}\right]"," ",0,"[(2*a^3 - 2*a*b^2 + (b^2*cosh(x)^2 + 2*b^2*cosh(x)*sinh(x) + b^2*sinh(x)^2 - b^2)*sqrt(a^2 - b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 - b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 - b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) + b)) - 2*(a^2*b - b^3)*cosh(x) - 2*(a^2*b - b^3)*sinh(x))/(a^4 - 2*a^2*b^2 + b^4 - (a^4 - 2*a^2*b^2 + b^4)*cosh(x)^2 - 2*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)*sinh(x) - (a^4 - 2*a^2*b^2 + b^4)*sinh(x)^2), 2*(a^3 - a*b^2 + (b^2*cosh(x)^2 + 2*b^2*cosh(x)*sinh(x) + b^2*sinh(x)^2 - b^2)*sqrt(-a^2 + b^2)*arctan(-sqrt(-a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a)/(a^2 - b^2)) - (a^2*b - b^3)*cosh(x) - (a^2*b - b^3)*sinh(x))/(a^4 - 2*a^2*b^2 + b^4 - (a^4 - 2*a^2*b^2 + b^4)*cosh(x)^2 - 2*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)*sinh(x) - (a^4 - 2*a^2*b^2 + b^4)*sinh(x)^2)]","B",0
174,1,818,0,0.554605," ","integrate(csch(x)^3/(a+b*cosh(x)),x, algorithm=""fricas"")","-\frac{2 \, {\left(a^{3} - a b^{2}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(a^{3} - a b^{2}\right)} \sinh\left(x\right)^{3} - 4 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(2 \, a^{2} b - 2 \, b^{3} - 3 \, {\left(a^{3} - a b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 2 \, {\left(a^{3} - a b^{2}\right)} \cosh\left(x\right) - 2 \, {\left(b^{3} \cosh\left(x\right)^{4} + 4 \, b^{3} \cosh\left(x\right) \sinh\left(x\right)^{3} + b^{3} \sinh\left(x\right)^{4} - 2 \, b^{3} \cosh\left(x\right)^{2} + b^{3} + 2 \, {\left(3 \, b^{3} \cosh\left(x\right)^{2} - b^{3}\right)} \sinh\left(x\right)^{2} + 4 \, {\left(b^{3} \cosh\left(x\right)^{3} - b^{3} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - {\left({\left(a^{3} - 3 \, a b^{2} - 2 \, b^{3}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{3} - 3 \, a b^{2} - 2 \, b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{3} - 3 \, a b^{2} - 2 \, b^{3}\right)} \sinh\left(x\right)^{4} + a^{3} - 3 \, a b^{2} - 2 \, b^{3} - 2 \, {\left(a^{3} - 3 \, a b^{2} - 2 \, b^{3}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{3} - 3 \, a b^{2} - 2 \, b^{3} - 3 \, {\left(a^{3} - 3 \, a b^{2} - 2 \, b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a^{3} - 3 \, a b^{2} - 2 \, b^{3}\right)} \cosh\left(x\right)^{3} - {\left(a^{3} - 3 \, a b^{2} - 2 \, b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + {\left({\left(a^{3} - 3 \, a b^{2} + 2 \, b^{3}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{3} - 3 \, a b^{2} + 2 \, b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{3} - 3 \, a b^{2} + 2 \, b^{3}\right)} \sinh\left(x\right)^{4} + a^{3} - 3 \, a b^{2} + 2 \, b^{3} - 2 \, {\left(a^{3} - 3 \, a b^{2} + 2 \, b^{3}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{3} - 3 \, a b^{2} + 2 \, b^{3} - 3 \, {\left(a^{3} - 3 \, a b^{2} + 2 \, b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a^{3} - 3 \, a b^{2} + 2 \, b^{3}\right)} \cosh\left(x\right)^{3} - {\left(a^{3} - 3 \, a b^{2} + 2 \, b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 2 \, {\left(a^{3} - a b^{2} + 3 \, {\left(a^{3} - a b^{2}\right)} \cosh\left(x\right)^{2} - 4 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{2 \, {\left({\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \sinh\left(x\right)^{4} + a^{4} - 2 \, a^{2} b^{2} + b^{4} - 2 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4} - 3 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{3} - {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"-1/2*(2*(a^3 - a*b^2)*cosh(x)^3 + 2*(a^3 - a*b^2)*sinh(x)^3 - 4*(a^2*b - b^3)*cosh(x)^2 - 2*(2*a^2*b - 2*b^3 - 3*(a^3 - a*b^2)*cosh(x))*sinh(x)^2 + 2*(a^3 - a*b^2)*cosh(x) - 2*(b^3*cosh(x)^4 + 4*b^3*cosh(x)*sinh(x)^3 + b^3*sinh(x)^4 - 2*b^3*cosh(x)^2 + b^3 + 2*(3*b^3*cosh(x)^2 - b^3)*sinh(x)^2 + 4*(b^3*cosh(x)^3 - b^3*cosh(x))*sinh(x))*log(2*(b*cosh(x) + a)/(cosh(x) - sinh(x))) - ((a^3 - 3*a*b^2 - 2*b^3)*cosh(x)^4 + 4*(a^3 - 3*a*b^2 - 2*b^3)*cosh(x)*sinh(x)^3 + (a^3 - 3*a*b^2 - 2*b^3)*sinh(x)^4 + a^3 - 3*a*b^2 - 2*b^3 - 2*(a^3 - 3*a*b^2 - 2*b^3)*cosh(x)^2 - 2*(a^3 - 3*a*b^2 - 2*b^3 - 3*(a^3 - 3*a*b^2 - 2*b^3)*cosh(x)^2)*sinh(x)^2 + 4*((a^3 - 3*a*b^2 - 2*b^3)*cosh(x)^3 - (a^3 - 3*a*b^2 - 2*b^3)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) + 1) + ((a^3 - 3*a*b^2 + 2*b^3)*cosh(x)^4 + 4*(a^3 - 3*a*b^2 + 2*b^3)*cosh(x)*sinh(x)^3 + (a^3 - 3*a*b^2 + 2*b^3)*sinh(x)^4 + a^3 - 3*a*b^2 + 2*b^3 - 2*(a^3 - 3*a*b^2 + 2*b^3)*cosh(x)^2 - 2*(a^3 - 3*a*b^2 + 2*b^3 - 3*(a^3 - 3*a*b^2 + 2*b^3)*cosh(x)^2)*sinh(x)^2 + 4*((a^3 - 3*a*b^2 + 2*b^3)*cosh(x)^3 - (a^3 - 3*a*b^2 + 2*b^3)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) - 1) + 2*(a^3 - a*b^2 + 3*(a^3 - a*b^2)*cosh(x)^2 - 4*(a^2*b - b^3)*cosh(x))*sinh(x))/((a^4 - 2*a^2*b^2 + b^4)*cosh(x)^4 + 4*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)*sinh(x)^3 + (a^4 - 2*a^2*b^2 + b^4)*sinh(x)^4 + a^4 - 2*a^2*b^2 + b^4 - 2*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^2 - 2*(a^4 - 2*a^2*b^2 + b^4 - 3*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^2)*sinh(x)^2 + 4*((a^4 - 2*a^2*b^2 + b^4)*cosh(x)^3 - (a^4 - 2*a^2*b^2 + b^4)*cosh(x))*sinh(x))","B",0
175,1,2339,0,0.495988," ","integrate(csch(x)^4/(a+b*cosh(x)),x, algorithm=""fricas"")","\left[\frac{6 \, {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{5} + 6 \, {\left(a^{2} b^{3} - b^{5}\right)} \sinh\left(x\right)^{5} + 4 \, a^{5} - 14 \, a^{3} b^{2} + 10 \, a b^{4} - 6 \, {\left(a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{4} - 6 \, {\left(a^{3} b^{2} - a b^{4} - 5 \, {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 4 \, {\left(2 \, a^{4} b - 7 \, a^{2} b^{3} + 5 \, b^{5}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(2 \, a^{4} b - 7 \, a^{2} b^{3} + 5 \, b^{5} + 15 \, {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{2} - 6 \, {\left(a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 12 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} \cosh\left(x\right)^{2} - 12 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4} - 5 \, {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{2} - {\left(2 \, a^{4} b - 7 \, a^{2} b^{3} + 5 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 3 \, {\left(b^{4} \cosh\left(x\right)^{6} + 6 \, b^{4} \cosh\left(x\right) \sinh\left(x\right)^{5} + b^{4} \sinh\left(x\right)^{6} - 3 \, b^{4} \cosh\left(x\right)^{4} + 3 \, b^{4} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, b^{4} \cosh\left(x\right)^{2} - b^{4}\right)} \sinh\left(x\right)^{4} - b^{4} + 4 \, {\left(5 \, b^{4} \cosh\left(x\right)^{3} - 3 \, b^{4} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(5 \, b^{4} \cosh\left(x\right)^{4} - 6 \, b^{4} \cosh\left(x\right)^{2} + b^{4}\right)} \sinh\left(x\right)^{2} + 6 \, {\left(b^{4} \cosh\left(x\right)^{5} - 2 \, b^{4} \cosh\left(x\right)^{3} + b^{4} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} - b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b}\right) + 6 \, {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right) + 6 \, {\left(a^{2} b^{3} - b^{5} + 5 \, {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{4} - 4 \, {\left(a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(2 \, a^{4} b - 7 \, a^{2} b^{3} + 5 \, b^{5}\right)} \cosh\left(x\right)^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{3 \, {\left({\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \sinh\left(x\right)^{6} - a^{6} + 3 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + b^{6} - 3 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{4} - 3 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6} - 5 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6} + 5 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{4} - 6 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{3} + {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}, \frac{2 \, {\left(3 \, {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{5} + 3 \, {\left(a^{2} b^{3} - b^{5}\right)} \sinh\left(x\right)^{5} + 2 \, a^{5} - 7 \, a^{3} b^{2} + 5 \, a b^{4} - 3 \, {\left(a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{4} - 3 \, {\left(a^{3} b^{2} - a b^{4} - 5 \, {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 2 \, {\left(2 \, a^{4} b - 7 \, a^{2} b^{3} + 5 \, b^{5}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(2 \, a^{4} b - 7 \, a^{2} b^{3} + 5 \, b^{5} + 15 \, {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{2} - 6 \, {\left(a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 6 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} \cosh\left(x\right)^{2} - 6 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4} - 5 \, {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{2} - {\left(2 \, a^{4} b - 7 \, a^{2} b^{3} + 5 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 3 \, {\left(b^{4} \cosh\left(x\right)^{6} + 6 \, b^{4} \cosh\left(x\right) \sinh\left(x\right)^{5} + b^{4} \sinh\left(x\right)^{6} - 3 \, b^{4} \cosh\left(x\right)^{4} + 3 \, b^{4} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, b^{4} \cosh\left(x\right)^{2} - b^{4}\right)} \sinh\left(x\right)^{4} - b^{4} + 4 \, {\left(5 \, b^{4} \cosh\left(x\right)^{3} - 3 \, b^{4} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(5 \, b^{4} \cosh\left(x\right)^{4} - 6 \, b^{4} \cosh\left(x\right)^{2} + b^{4}\right)} \sinh\left(x\right)^{2} + 6 \, {\left(b^{4} \cosh\left(x\right)^{5} - 2 \, b^{4} \cosh\left(x\right)^{3} + b^{4} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{-a^{2} + b^{2}} \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{a^{2} - b^{2}}\right) + 3 \, {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right) + 3 \, {\left(a^{2} b^{3} - b^{5} + 5 \, {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{4} - 4 \, {\left(a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(2 \, a^{4} b - 7 \, a^{2} b^{3} + 5 \, b^{5}\right)} \cosh\left(x\right)^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}{3 \, {\left({\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \sinh\left(x\right)^{6} - a^{6} + 3 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + b^{6} - 3 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{4} - 3 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6} - 5 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6} + 5 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{4} - 6 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{3} + {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}\right]"," ",0,"[1/3*(6*(a^2*b^3 - b^5)*cosh(x)^5 + 6*(a^2*b^3 - b^5)*sinh(x)^5 + 4*a^5 - 14*a^3*b^2 + 10*a*b^4 - 6*(a^3*b^2 - a*b^4)*cosh(x)^4 - 6*(a^3*b^2 - a*b^4 - 5*(a^2*b^3 - b^5)*cosh(x))*sinh(x)^4 + 4*(2*a^4*b - 7*a^2*b^3 + 5*b^5)*cosh(x)^3 + 4*(2*a^4*b - 7*a^2*b^3 + 5*b^5 + 15*(a^2*b^3 - b^5)*cosh(x)^2 - 6*(a^3*b^2 - a*b^4)*cosh(x))*sinh(x)^3 - 12*(a^5 - 3*a^3*b^2 + 2*a*b^4)*cosh(x)^2 - 12*(a^5 - 3*a^3*b^2 + 2*a*b^4 - 5*(a^2*b^3 - b^5)*cosh(x)^3 + 3*(a^3*b^2 - a*b^4)*cosh(x)^2 - (2*a^4*b - 7*a^2*b^3 + 5*b^5)*cosh(x))*sinh(x)^2 + 3*(b^4*cosh(x)^6 + 6*b^4*cosh(x)*sinh(x)^5 + b^4*sinh(x)^6 - 3*b^4*cosh(x)^4 + 3*b^4*cosh(x)^2 + 3*(5*b^4*cosh(x)^2 - b^4)*sinh(x)^4 - b^4 + 4*(5*b^4*cosh(x)^3 - 3*b^4*cosh(x))*sinh(x)^3 + 3*(5*b^4*cosh(x)^4 - 6*b^4*cosh(x)^2 + b^4)*sinh(x)^2 + 6*(b^4*cosh(x)^5 - 2*b^4*cosh(x)^3 + b^4*cosh(x))*sinh(x))*sqrt(a^2 - b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 - b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 - b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) + b)) + 6*(a^2*b^3 - b^5)*cosh(x) + 6*(a^2*b^3 - b^5 + 5*(a^2*b^3 - b^5)*cosh(x)^4 - 4*(a^3*b^2 - a*b^4)*cosh(x)^3 + 2*(2*a^4*b - 7*a^2*b^3 + 5*b^5)*cosh(x)^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*cosh(x))*sinh(x))/((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^6 + 6*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)*sinh(x)^5 + (a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*sinh(x)^6 - a^6 + 3*a^4*b^2 - 3*a^2*b^4 + b^6 - 3*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^4 - 3*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6 - 5*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^2)*sinh(x)^4 + 4*(5*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^3 - 3*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x))*sinh(x)^3 + 3*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^2 + 3*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6 + 5*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^4 - 6*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^2)*sinh(x)^2 + 6*((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^5 - 2*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^3 + (a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x))*sinh(x)), 2/3*(3*(a^2*b^3 - b^5)*cosh(x)^5 + 3*(a^2*b^3 - b^5)*sinh(x)^5 + 2*a^5 - 7*a^3*b^2 + 5*a*b^4 - 3*(a^3*b^2 - a*b^4)*cosh(x)^4 - 3*(a^3*b^2 - a*b^4 - 5*(a^2*b^3 - b^5)*cosh(x))*sinh(x)^4 + 2*(2*a^4*b - 7*a^2*b^3 + 5*b^5)*cosh(x)^3 + 2*(2*a^4*b - 7*a^2*b^3 + 5*b^5 + 15*(a^2*b^3 - b^5)*cosh(x)^2 - 6*(a^3*b^2 - a*b^4)*cosh(x))*sinh(x)^3 - 6*(a^5 - 3*a^3*b^2 + 2*a*b^4)*cosh(x)^2 - 6*(a^5 - 3*a^3*b^2 + 2*a*b^4 - 5*(a^2*b^3 - b^5)*cosh(x)^3 + 3*(a^3*b^2 - a*b^4)*cosh(x)^2 - (2*a^4*b - 7*a^2*b^3 + 5*b^5)*cosh(x))*sinh(x)^2 - 3*(b^4*cosh(x)^6 + 6*b^4*cosh(x)*sinh(x)^5 + b^4*sinh(x)^6 - 3*b^4*cosh(x)^4 + 3*b^4*cosh(x)^2 + 3*(5*b^4*cosh(x)^2 - b^4)*sinh(x)^4 - b^4 + 4*(5*b^4*cosh(x)^3 - 3*b^4*cosh(x))*sinh(x)^3 + 3*(5*b^4*cosh(x)^4 - 6*b^4*cosh(x)^2 + b^4)*sinh(x)^2 + 6*(b^4*cosh(x)^5 - 2*b^4*cosh(x)^3 + b^4*cosh(x))*sinh(x))*sqrt(-a^2 + b^2)*arctan(-sqrt(-a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a)/(a^2 - b^2)) + 3*(a^2*b^3 - b^5)*cosh(x) + 3*(a^2*b^3 - b^5 + 5*(a^2*b^3 - b^5)*cosh(x)^4 - 4*(a^3*b^2 - a*b^4)*cosh(x)^3 + 2*(2*a^4*b - 7*a^2*b^3 + 5*b^5)*cosh(x)^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*cosh(x))*sinh(x))/((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^6 + 6*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)*sinh(x)^5 + (a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*sinh(x)^6 - a^6 + 3*a^4*b^2 - 3*a^2*b^4 + b^6 - 3*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^4 - 3*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6 - 5*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^2)*sinh(x)^4 + 4*(5*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^3 - 3*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x))*sinh(x)^3 + 3*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^2 + 3*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6 + 5*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^4 - 6*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^2)*sinh(x)^2 + 6*((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^5 - 2*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^3 + (a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x))*sinh(x))]","B",0
176,1,3450,0,0.591465," ","integrate(csch(x)^5/(a+b*cosh(x)),x, algorithm=""fricas"")","\frac{2 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 7 \, a b^{4}\right)} \cosh\left(x\right)^{7} + 2 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 7 \, a b^{4}\right)} \sinh\left(x\right)^{7} + 16 \, {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{6} + 2 \, {\left(8 \, a^{2} b^{3} - 8 \, b^{5} + 7 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 7 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} - 2 \, {\left(11 \, a^{5} - 26 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(11 \, a^{5} - 26 \, a^{3} b^{2} + 15 \, a b^{4} - 21 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 7 \, a b^{4}\right)} \cosh\left(x\right)^{2} - 48 \, {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 32 \, {\left(a^{4} b - 3 \, a^{2} b^{3} + 2 \, b^{5}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(16 \, a^{4} b - 48 \, a^{2} b^{3} + 32 \, b^{5} + 35 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 7 \, a b^{4}\right)} \cosh\left(x\right)^{3} + 120 \, {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{2} - 5 \, {\left(11 \, a^{5} - 26 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} - 2 \, {\left(11 \, a^{5} - 26 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{3} - 2 \, {\left(11 \, a^{5} - 26 \, a^{3} b^{2} + 15 \, a b^{4} - 35 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 7 \, a b^{4}\right)} \cosh\left(x\right)^{4} - 160 \, {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{3} + 10 \, {\left(11 \, a^{5} - 26 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{2} - 64 \, {\left(a^{4} b - 3 \, a^{2} b^{3} + 2 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 16 \, {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(21 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 7 \, a b^{4}\right)} \cosh\left(x\right)^{5} + 8 \, a^{2} b^{3} - 8 \, b^{5} + 120 \, {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{4} - 10 \, {\left(11 \, a^{5} - 26 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{3} + 96 \, {\left(a^{4} b - 3 \, a^{2} b^{3} + 2 \, b^{5}\right)} \cosh\left(x\right)^{2} - 3 \, {\left(11 \, a^{5} - 26 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 2 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 7 \, a b^{4}\right)} \cosh\left(x\right) + 8 \, {\left(b^{5} \cosh\left(x\right)^{8} + 8 \, b^{5} \cosh\left(x\right) \sinh\left(x\right)^{7} + b^{5} \sinh\left(x\right)^{8} - 4 \, b^{5} \cosh\left(x\right)^{6} + 6 \, b^{5} \cosh\left(x\right)^{4} - 4 \, b^{5} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, b^{5} \cosh\left(x\right)^{2} - b^{5}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, b^{5} \cosh\left(x\right)^{3} - 3 \, b^{5} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + b^{5} + 2 \, {\left(35 \, b^{5} \cosh\left(x\right)^{4} - 30 \, b^{5} \cosh\left(x\right)^{2} + 3 \, b^{5}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, b^{5} \cosh\left(x\right)^{5} - 10 \, b^{5} \cosh\left(x\right)^{3} + 3 \, b^{5} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(7 \, b^{5} \cosh\left(x\right)^{6} - 15 \, b^{5} \cosh\left(x\right)^{4} + 9 \, b^{5} \cosh\left(x\right)^{2} - b^{5}\right)} \sinh\left(x\right)^{2} + 8 \, {\left(b^{5} \cosh\left(x\right)^{7} - 3 \, b^{5} \cosh\left(x\right)^{5} + 3 \, b^{5} \cosh\left(x\right)^{3} - b^{5} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - {\left({\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} + 8 \, b^{5}\right)} \sinh\left(x\right)^{8} - 4 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right)^{6} - 4 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} + 8 \, b^{5} - 7 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} + 8 \, b^{5} + 6 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(9 \, a^{5} - 30 \, a^{3} b^{2} + 45 \, a b^{4} + 24 \, b^{5} + 35 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right)^{4} - 30 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right)^{5} - 10 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 4 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right)^{6} - 3 \, a^{5} + 10 \, a^{3} b^{2} - 15 \, a b^{4} - 8 \, b^{5} - 15 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right)^{4} + 9 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 8 \, {\left({\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right)^{7} - 3 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right)^{5} + 3 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right)^{3} - {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + {\left({\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} - 8 \, b^{5}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} - 8 \, b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} - 8 \, b^{5}\right)} \sinh\left(x\right)^{8} - 4 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} - 8 \, b^{5}\right)} \cosh\left(x\right)^{6} - 4 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} - 8 \, b^{5} - 7 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} - 8 \, b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} - 8 \, b^{5}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} - 8 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} - 8 \, b^{5} + 6 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} - 8 \, b^{5}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(9 \, a^{5} - 30 \, a^{3} b^{2} + 45 \, a b^{4} - 24 \, b^{5} + 35 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} - 8 \, b^{5}\right)} \cosh\left(x\right)^{4} - 30 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} - 8 \, b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} - 8 \, b^{5}\right)} \cosh\left(x\right)^{5} - 10 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} - 8 \, b^{5}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} - 8 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 4 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} - 8 \, b^{5}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} - 8 \, b^{5}\right)} \cosh\left(x\right)^{6} - 3 \, a^{5} + 10 \, a^{3} b^{2} - 15 \, a b^{4} + 8 \, b^{5} - 15 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} - 8 \, b^{5}\right)} \cosh\left(x\right)^{4} + 9 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} - 8 \, b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 8 \, {\left({\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} - 8 \, b^{5}\right)} \cosh\left(x\right)^{7} - 3 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} - 8 \, b^{5}\right)} \cosh\left(x\right)^{5} + 3 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} - 8 \, b^{5}\right)} \cosh\left(x\right)^{3} - {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} - 8 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 2 \, {\left(7 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 7 \, a b^{4}\right)} \cosh\left(x\right)^{6} + 48 \, {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{5} + 3 \, a^{5} - 10 \, a^{3} b^{2} + 7 \, a b^{4} - 5 \, {\left(11 \, a^{5} - 26 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{4} + 64 \, {\left(a^{4} b - 3 \, a^{2} b^{3} + 2 \, b^{5}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(11 \, a^{5} - 26 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{2} + 16 \, {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{8 \, {\left({\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \sinh\left(x\right)^{8} - 4 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{6} - 4 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6} - 7 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6} + 8 \, {\left(7 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 6 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(3 \, a^{6} - 9 \, a^{4} b^{2} + 9 \, a^{2} b^{4} - 3 \, b^{6} + 35 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{4} - 30 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{5} - 10 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 4 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{6} - a^{6} + 3 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + b^{6} - 15 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{4} + 9 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 8 \, {\left({\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{7} - 3 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{5} + 3 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{3} - {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"1/8*(2*(3*a^5 - 10*a^3*b^2 + 7*a*b^4)*cosh(x)^7 + 2*(3*a^5 - 10*a^3*b^2 + 7*a*b^4)*sinh(x)^7 + 16*(a^2*b^3 - b^5)*cosh(x)^6 + 2*(8*a^2*b^3 - 8*b^5 + 7*(3*a^5 - 10*a^3*b^2 + 7*a*b^4)*cosh(x))*sinh(x)^6 - 2*(11*a^5 - 26*a^3*b^2 + 15*a*b^4)*cosh(x)^5 - 2*(11*a^5 - 26*a^3*b^2 + 15*a*b^4 - 21*(3*a^5 - 10*a^3*b^2 + 7*a*b^4)*cosh(x)^2 - 48*(a^2*b^3 - b^5)*cosh(x))*sinh(x)^5 + 32*(a^4*b - 3*a^2*b^3 + 2*b^5)*cosh(x)^4 + 2*(16*a^4*b - 48*a^2*b^3 + 32*b^5 + 35*(3*a^5 - 10*a^3*b^2 + 7*a*b^4)*cosh(x)^3 + 120*(a^2*b^3 - b^5)*cosh(x)^2 - 5*(11*a^5 - 26*a^3*b^2 + 15*a*b^4)*cosh(x))*sinh(x)^4 - 2*(11*a^5 - 26*a^3*b^2 + 15*a*b^4)*cosh(x)^3 - 2*(11*a^5 - 26*a^3*b^2 + 15*a*b^4 - 35*(3*a^5 - 10*a^3*b^2 + 7*a*b^4)*cosh(x)^4 - 160*(a^2*b^3 - b^5)*cosh(x)^3 + 10*(11*a^5 - 26*a^3*b^2 + 15*a*b^4)*cosh(x)^2 - 64*(a^4*b - 3*a^2*b^3 + 2*b^5)*cosh(x))*sinh(x)^3 + 16*(a^2*b^3 - b^5)*cosh(x)^2 + 2*(21*(3*a^5 - 10*a^3*b^2 + 7*a*b^4)*cosh(x)^5 + 8*a^2*b^3 - 8*b^5 + 120*(a^2*b^3 - b^5)*cosh(x)^4 - 10*(11*a^5 - 26*a^3*b^2 + 15*a*b^4)*cosh(x)^3 + 96*(a^4*b - 3*a^2*b^3 + 2*b^5)*cosh(x)^2 - 3*(11*a^5 - 26*a^3*b^2 + 15*a*b^4)*cosh(x))*sinh(x)^2 + 2*(3*a^5 - 10*a^3*b^2 + 7*a*b^4)*cosh(x) + 8*(b^5*cosh(x)^8 + 8*b^5*cosh(x)*sinh(x)^7 + b^5*sinh(x)^8 - 4*b^5*cosh(x)^6 + 6*b^5*cosh(x)^4 - 4*b^5*cosh(x)^2 + 4*(7*b^5*cosh(x)^2 - b^5)*sinh(x)^6 + 8*(7*b^5*cosh(x)^3 - 3*b^5*cosh(x))*sinh(x)^5 + b^5 + 2*(35*b^5*cosh(x)^4 - 30*b^5*cosh(x)^2 + 3*b^5)*sinh(x)^4 + 8*(7*b^5*cosh(x)^5 - 10*b^5*cosh(x)^3 + 3*b^5*cosh(x))*sinh(x)^3 + 4*(7*b^5*cosh(x)^6 - 15*b^5*cosh(x)^4 + 9*b^5*cosh(x)^2 - b^5)*sinh(x)^2 + 8*(b^5*cosh(x)^7 - 3*b^5*cosh(x)^5 + 3*b^5*cosh(x)^3 - b^5*cosh(x))*sinh(x))*log(2*(b*cosh(x) + a)/(cosh(x) - sinh(x))) - ((3*a^5 - 10*a^3*b^2 + 15*a*b^4 + 8*b^5)*cosh(x)^8 + 8*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 + 8*b^5)*cosh(x)*sinh(x)^7 + (3*a^5 - 10*a^3*b^2 + 15*a*b^4 + 8*b^5)*sinh(x)^8 - 4*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 + 8*b^5)*cosh(x)^6 - 4*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 + 8*b^5 - 7*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 + 8*b^5)*cosh(x)^2)*sinh(x)^6 + 8*(7*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 + 8*b^5)*cosh(x)^3 - 3*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 + 8*b^5)*cosh(x))*sinh(x)^5 + 3*a^5 - 10*a^3*b^2 + 15*a*b^4 + 8*b^5 + 6*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 + 8*b^5)*cosh(x)^4 + 2*(9*a^5 - 30*a^3*b^2 + 45*a*b^4 + 24*b^5 + 35*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 + 8*b^5)*cosh(x)^4 - 30*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 + 8*b^5)*cosh(x)^2)*sinh(x)^4 + 8*(7*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 + 8*b^5)*cosh(x)^5 - 10*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 + 8*b^5)*cosh(x)^3 + 3*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 + 8*b^5)*cosh(x))*sinh(x)^3 - 4*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 + 8*b^5)*cosh(x)^2 + 4*(7*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 + 8*b^5)*cosh(x)^6 - 3*a^5 + 10*a^3*b^2 - 15*a*b^4 - 8*b^5 - 15*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 + 8*b^5)*cosh(x)^4 + 9*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 + 8*b^5)*cosh(x)^2)*sinh(x)^2 + 8*((3*a^5 - 10*a^3*b^2 + 15*a*b^4 + 8*b^5)*cosh(x)^7 - 3*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 + 8*b^5)*cosh(x)^5 + 3*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 + 8*b^5)*cosh(x)^3 - (3*a^5 - 10*a^3*b^2 + 15*a*b^4 + 8*b^5)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) + 1) + ((3*a^5 - 10*a^3*b^2 + 15*a*b^4 - 8*b^5)*cosh(x)^8 + 8*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 - 8*b^5)*cosh(x)*sinh(x)^7 + (3*a^5 - 10*a^3*b^2 + 15*a*b^4 - 8*b^5)*sinh(x)^8 - 4*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 - 8*b^5)*cosh(x)^6 - 4*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 - 8*b^5 - 7*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 - 8*b^5)*cosh(x)^2)*sinh(x)^6 + 8*(7*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 - 8*b^5)*cosh(x)^3 - 3*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 - 8*b^5)*cosh(x))*sinh(x)^5 + 3*a^5 - 10*a^3*b^2 + 15*a*b^4 - 8*b^5 + 6*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 - 8*b^5)*cosh(x)^4 + 2*(9*a^5 - 30*a^3*b^2 + 45*a*b^4 - 24*b^5 + 35*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 - 8*b^5)*cosh(x)^4 - 30*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 - 8*b^5)*cosh(x)^2)*sinh(x)^4 + 8*(7*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 - 8*b^5)*cosh(x)^5 - 10*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 - 8*b^5)*cosh(x)^3 + 3*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 - 8*b^5)*cosh(x))*sinh(x)^3 - 4*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 - 8*b^5)*cosh(x)^2 + 4*(7*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 - 8*b^5)*cosh(x)^6 - 3*a^5 + 10*a^3*b^2 - 15*a*b^4 + 8*b^5 - 15*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 - 8*b^5)*cosh(x)^4 + 9*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 - 8*b^5)*cosh(x)^2)*sinh(x)^2 + 8*((3*a^5 - 10*a^3*b^2 + 15*a*b^4 - 8*b^5)*cosh(x)^7 - 3*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 - 8*b^5)*cosh(x)^5 + 3*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 - 8*b^5)*cosh(x)^3 - (3*a^5 - 10*a^3*b^2 + 15*a*b^4 - 8*b^5)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) - 1) + 2*(7*(3*a^5 - 10*a^3*b^2 + 7*a*b^4)*cosh(x)^6 + 48*(a^2*b^3 - b^5)*cosh(x)^5 + 3*a^5 - 10*a^3*b^2 + 7*a*b^4 - 5*(11*a^5 - 26*a^3*b^2 + 15*a*b^4)*cosh(x)^4 + 64*(a^4*b - 3*a^2*b^3 + 2*b^5)*cosh(x)^3 - 3*(11*a^5 - 26*a^3*b^2 + 15*a*b^4)*cosh(x)^2 + 16*(a^2*b^3 - b^5)*cosh(x))*sinh(x))/((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^8 + 8*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)*sinh(x)^7 + (a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*sinh(x)^8 - 4*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^6 - 4*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6 - 7*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^2)*sinh(x)^6 + a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6 + 8*(7*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^3 - 3*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x))*sinh(x)^5 + 6*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^4 + 2*(3*a^6 - 9*a^4*b^2 + 9*a^2*b^4 - 3*b^6 + 35*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^4 - 30*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^2)*sinh(x)^4 + 8*(7*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^5 - 10*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^3 + 3*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x))*sinh(x)^3 - 4*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^2 + 4*(7*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^6 - a^6 + 3*a^4*b^2 - 3*a^2*b^4 + b^6 - 15*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^4 + 9*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^2)*sinh(x)^2 + 8*((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^7 - 3*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^5 + 3*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^3 - (a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x))*sinh(x))","B",0
177,1,6381,0,0.648820," ","integrate(csch(x)^6/(a+b*cosh(x)),x, algorithm=""fricas"")","\left[\frac{30 \, {\left(a^{2} b^{5} - b^{7}\right)} \cosh\left(x\right)^{9} + 30 \, {\left(a^{2} b^{5} - b^{7}\right)} \sinh\left(x\right)^{9} - 30 \, {\left(a^{3} b^{4} - a b^{6}\right)} \cosh\left(x\right)^{8} - 30 \, {\left(a^{3} b^{4} - a b^{6} - 9 \, {\left(a^{2} b^{5} - b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{8} + 40 \, {\left(a^{4} b^{3} - 5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{7} + 40 \, {\left(a^{4} b^{3} - 5 \, a^{2} b^{5} + 4 \, b^{7} + 27 \, {\left(a^{2} b^{5} - b^{7}\right)} \cosh\left(x\right)^{2} - 6 \, {\left(a^{3} b^{4} - a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} - 16 \, a^{7} + 68 \, a^{5} b^{2} - 118 \, a^{3} b^{4} + 66 \, a b^{6} - 60 \, {\left(a^{5} b^{2} - 4 \, a^{3} b^{4} + 3 \, a b^{6}\right)} \cosh\left(x\right)^{6} - 20 \, {\left(3 \, a^{5} b^{2} - 12 \, a^{3} b^{4} + 9 \, a b^{6} - 126 \, {\left(a^{2} b^{5} - b^{7}\right)} \cosh\left(x\right)^{3} + 42 \, {\left(a^{3} b^{4} - a b^{6}\right)} \cosh\left(x\right)^{2} - 14 \, {\left(a^{4} b^{3} - 5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} + 4 \, {\left(24 \, a^{6} b - 92 \, a^{4} b^{3} + 157 \, a^{2} b^{5} - 89 \, b^{7}\right)} \cosh\left(x\right)^{5} + 4 \, {\left(24 \, a^{6} b - 92 \, a^{4} b^{3} + 157 \, a^{2} b^{5} - 89 \, b^{7} + 945 \, {\left(a^{2} b^{5} - b^{7}\right)} \cosh\left(x\right)^{4} - 420 \, {\left(a^{3} b^{4} - a b^{6}\right)} \cosh\left(x\right)^{3} + 210 \, {\left(a^{4} b^{3} - 5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{2} - 90 \, {\left(a^{5} b^{2} - 4 \, a^{3} b^{4} + 3 \, a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 20 \, {\left(8 \, a^{7} - 31 \, a^{5} b^{2} + 47 \, a^{3} b^{4} - 24 \, a b^{6}\right)} \cosh\left(x\right)^{4} - 20 \, {\left(8 \, a^{7} - 31 \, a^{5} b^{2} + 47 \, a^{3} b^{4} - 24 \, a b^{6} - 189 \, {\left(a^{2} b^{5} - b^{7}\right)} \cosh\left(x\right)^{5} + 105 \, {\left(a^{3} b^{4} - a b^{6}\right)} \cosh\left(x\right)^{4} - 70 \, {\left(a^{4} b^{3} - 5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{3} + 45 \, {\left(a^{5} b^{2} - 4 \, a^{3} b^{4} + 3 \, a b^{6}\right)} \cosh\left(x\right)^{2} - {\left(24 \, a^{6} b - 92 \, a^{4} b^{3} + 157 \, a^{2} b^{5} - 89 \, b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 40 \, {\left(a^{4} b^{3} - 5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{3} + 40 \, {\left(a^{4} b^{3} - 5 \, a^{2} b^{5} + 4 \, b^{7} + 63 \, {\left(a^{2} b^{5} - b^{7}\right)} \cosh\left(x\right)^{6} - 42 \, {\left(a^{3} b^{4} - a b^{6}\right)} \cosh\left(x\right)^{5} + 35 \, {\left(a^{4} b^{3} - 5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{4} - 30 \, {\left(a^{5} b^{2} - 4 \, a^{3} b^{4} + 3 \, a b^{6}\right)} \cosh\left(x\right)^{3} + {\left(24 \, a^{6} b - 92 \, a^{4} b^{3} + 157 \, a^{2} b^{5} - 89 \, b^{7}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(8 \, a^{7} - 31 \, a^{5} b^{2} + 47 \, a^{3} b^{4} - 24 \, a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 20 \, {\left(4 \, a^{7} - 17 \, a^{5} b^{2} + 28 \, a^{3} b^{4} - 15 \, a b^{6}\right)} \cosh\left(x\right)^{2} + 20 \, {\left(54 \, {\left(a^{2} b^{5} - b^{7}\right)} \cosh\left(x\right)^{7} + 4 \, a^{7} - 17 \, a^{5} b^{2} + 28 \, a^{3} b^{4} - 15 \, a b^{6} - 42 \, {\left(a^{3} b^{4} - a b^{6}\right)} \cosh\left(x\right)^{6} + 42 \, {\left(a^{4} b^{3} - 5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{5} - 45 \, {\left(a^{5} b^{2} - 4 \, a^{3} b^{4} + 3 \, a b^{6}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(24 \, a^{6} b - 92 \, a^{4} b^{3} + 157 \, a^{2} b^{5} - 89 \, b^{7}\right)} \cosh\left(x\right)^{3} - 6 \, {\left(8 \, a^{7} - 31 \, a^{5} b^{2} + 47 \, a^{3} b^{4} - 24 \, a b^{6}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(a^{4} b^{3} - 5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 15 \, {\left(b^{6} \cosh\left(x\right)^{10} + 10 \, b^{6} \cosh\left(x\right) \sinh\left(x\right)^{9} + b^{6} \sinh\left(x\right)^{10} - 5 \, b^{6} \cosh\left(x\right)^{8} + 10 \, b^{6} \cosh\left(x\right)^{6} - 10 \, b^{6} \cosh\left(x\right)^{4} + 5 \, {\left(9 \, b^{6} \cosh\left(x\right)^{2} - b^{6}\right)} \sinh\left(x\right)^{8} + 5 \, b^{6} \cosh\left(x\right)^{2} + 40 \, {\left(3 \, b^{6} \cosh\left(x\right)^{3} - b^{6} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 10 \, {\left(21 \, b^{6} \cosh\left(x\right)^{4} - 14 \, b^{6} \cosh\left(x\right)^{2} + b^{6}\right)} \sinh\left(x\right)^{6} - b^{6} + 4 \, {\left(63 \, b^{6} \cosh\left(x\right)^{5} - 70 \, b^{6} \cosh\left(x\right)^{3} + 15 \, b^{6} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 10 \, {\left(21 \, b^{6} \cosh\left(x\right)^{6} - 35 \, b^{6} \cosh\left(x\right)^{4} + 15 \, b^{6} \cosh\left(x\right)^{2} - b^{6}\right)} \sinh\left(x\right)^{4} + 40 \, {\left(3 \, b^{6} \cosh\left(x\right)^{7} - 7 \, b^{6} \cosh\left(x\right)^{5} + 5 \, b^{6} \cosh\left(x\right)^{3} - b^{6} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 5 \, {\left(9 \, b^{6} \cosh\left(x\right)^{8} - 28 \, b^{6} \cosh\left(x\right)^{6} + 30 \, b^{6} \cosh\left(x\right)^{4} - 12 \, b^{6} \cosh\left(x\right)^{2} + b^{6}\right)} \sinh\left(x\right)^{2} + 10 \, {\left(b^{6} \cosh\left(x\right)^{9} - 4 \, b^{6} \cosh\left(x\right)^{7} + 6 \, b^{6} \cosh\left(x\right)^{5} - 4 \, b^{6} \cosh\left(x\right)^{3} + b^{6} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} - b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b}\right) + 30 \, {\left(a^{2} b^{5} - b^{7}\right)} \cosh\left(x\right) + 10 \, {\left(27 \, {\left(a^{2} b^{5} - b^{7}\right)} \cosh\left(x\right)^{8} - 24 \, {\left(a^{3} b^{4} - a b^{6}\right)} \cosh\left(x\right)^{7} + 3 \, a^{2} b^{5} - 3 \, b^{7} + 28 \, {\left(a^{4} b^{3} - 5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{6} - 36 \, {\left(a^{5} b^{2} - 4 \, a^{3} b^{4} + 3 \, a b^{6}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(24 \, a^{6} b - 92 \, a^{4} b^{3} + 157 \, a^{2} b^{5} - 89 \, b^{7}\right)} \cosh\left(x\right)^{4} - 8 \, {\left(8 \, a^{7} - 31 \, a^{5} b^{2} + 47 \, a^{3} b^{4} - 24 \, a b^{6}\right)} \cosh\left(x\right)^{3} + 12 \, {\left(a^{4} b^{3} - 5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(4 \, a^{7} - 17 \, a^{5} b^{2} + 28 \, a^{3} b^{4} - 15 \, a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{15 \, {\left({\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{10} + 10 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right) \sinh\left(x\right)^{9} + {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \sinh\left(x\right)^{10} - 5 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{8} - 5 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8} - 9 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{8} - a^{8} + 4 \, a^{6} b^{2} - 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} - b^{8} + 40 \, {\left(3 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{3} - {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 10 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{6} + 10 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8} + 21 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{4} - 14 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 4 \, {\left(63 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{5} - 70 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{3} + 15 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 10 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{4} - 10 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8} - 21 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{6} + 35 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{4} - 15 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 40 \, {\left(3 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{7} - 7 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{3} - {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 5 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{2} + 5 \, {\left(9 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{8} + a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8} - 28 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{6} + 30 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{4} - 12 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 10 \, {\left({\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{9} - 4 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{7} + 6 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{5} - 4 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{3} + {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}, \frac{2 \, {\left(15 \, {\left(a^{2} b^{5} - b^{7}\right)} \cosh\left(x\right)^{9} + 15 \, {\left(a^{2} b^{5} - b^{7}\right)} \sinh\left(x\right)^{9} - 15 \, {\left(a^{3} b^{4} - a b^{6}\right)} \cosh\left(x\right)^{8} - 15 \, {\left(a^{3} b^{4} - a b^{6} - 9 \, {\left(a^{2} b^{5} - b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{8} + 20 \, {\left(a^{4} b^{3} - 5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{7} + 20 \, {\left(a^{4} b^{3} - 5 \, a^{2} b^{5} + 4 \, b^{7} + 27 \, {\left(a^{2} b^{5} - b^{7}\right)} \cosh\left(x\right)^{2} - 6 \, {\left(a^{3} b^{4} - a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} - 8 \, a^{7} + 34 \, a^{5} b^{2} - 59 \, a^{3} b^{4} + 33 \, a b^{6} - 30 \, {\left(a^{5} b^{2} - 4 \, a^{3} b^{4} + 3 \, a b^{6}\right)} \cosh\left(x\right)^{6} - 10 \, {\left(3 \, a^{5} b^{2} - 12 \, a^{3} b^{4} + 9 \, a b^{6} - 126 \, {\left(a^{2} b^{5} - b^{7}\right)} \cosh\left(x\right)^{3} + 42 \, {\left(a^{3} b^{4} - a b^{6}\right)} \cosh\left(x\right)^{2} - 14 \, {\left(a^{4} b^{3} - 5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} + 2 \, {\left(24 \, a^{6} b - 92 \, a^{4} b^{3} + 157 \, a^{2} b^{5} - 89 \, b^{7}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(24 \, a^{6} b - 92 \, a^{4} b^{3} + 157 \, a^{2} b^{5} - 89 \, b^{7} + 945 \, {\left(a^{2} b^{5} - b^{7}\right)} \cosh\left(x\right)^{4} - 420 \, {\left(a^{3} b^{4} - a b^{6}\right)} \cosh\left(x\right)^{3} + 210 \, {\left(a^{4} b^{3} - 5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{2} - 90 \, {\left(a^{5} b^{2} - 4 \, a^{3} b^{4} + 3 \, a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 10 \, {\left(8 \, a^{7} - 31 \, a^{5} b^{2} + 47 \, a^{3} b^{4} - 24 \, a b^{6}\right)} \cosh\left(x\right)^{4} - 10 \, {\left(8 \, a^{7} - 31 \, a^{5} b^{2} + 47 \, a^{3} b^{4} - 24 \, a b^{6} - 189 \, {\left(a^{2} b^{5} - b^{7}\right)} \cosh\left(x\right)^{5} + 105 \, {\left(a^{3} b^{4} - a b^{6}\right)} \cosh\left(x\right)^{4} - 70 \, {\left(a^{4} b^{3} - 5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{3} + 45 \, {\left(a^{5} b^{2} - 4 \, a^{3} b^{4} + 3 \, a b^{6}\right)} \cosh\left(x\right)^{2} - {\left(24 \, a^{6} b - 92 \, a^{4} b^{3} + 157 \, a^{2} b^{5} - 89 \, b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 20 \, {\left(a^{4} b^{3} - 5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{3} + 20 \, {\left(a^{4} b^{3} - 5 \, a^{2} b^{5} + 4 \, b^{7} + 63 \, {\left(a^{2} b^{5} - b^{7}\right)} \cosh\left(x\right)^{6} - 42 \, {\left(a^{3} b^{4} - a b^{6}\right)} \cosh\left(x\right)^{5} + 35 \, {\left(a^{4} b^{3} - 5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{4} - 30 \, {\left(a^{5} b^{2} - 4 \, a^{3} b^{4} + 3 \, a b^{6}\right)} \cosh\left(x\right)^{3} + {\left(24 \, a^{6} b - 92 \, a^{4} b^{3} + 157 \, a^{2} b^{5} - 89 \, b^{7}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(8 \, a^{7} - 31 \, a^{5} b^{2} + 47 \, a^{3} b^{4} - 24 \, a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 10 \, {\left(4 \, a^{7} - 17 \, a^{5} b^{2} + 28 \, a^{3} b^{4} - 15 \, a b^{6}\right)} \cosh\left(x\right)^{2} + 10 \, {\left(54 \, {\left(a^{2} b^{5} - b^{7}\right)} \cosh\left(x\right)^{7} + 4 \, a^{7} - 17 \, a^{5} b^{2} + 28 \, a^{3} b^{4} - 15 \, a b^{6} - 42 \, {\left(a^{3} b^{4} - a b^{6}\right)} \cosh\left(x\right)^{6} + 42 \, {\left(a^{4} b^{3} - 5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{5} - 45 \, {\left(a^{5} b^{2} - 4 \, a^{3} b^{4} + 3 \, a b^{6}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(24 \, a^{6} b - 92 \, a^{4} b^{3} + 157 \, a^{2} b^{5} - 89 \, b^{7}\right)} \cosh\left(x\right)^{3} - 6 \, {\left(8 \, a^{7} - 31 \, a^{5} b^{2} + 47 \, a^{3} b^{4} - 24 \, a b^{6}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(a^{4} b^{3} - 5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 15 \, {\left(b^{6} \cosh\left(x\right)^{10} + 10 \, b^{6} \cosh\left(x\right) \sinh\left(x\right)^{9} + b^{6} \sinh\left(x\right)^{10} - 5 \, b^{6} \cosh\left(x\right)^{8} + 10 \, b^{6} \cosh\left(x\right)^{6} - 10 \, b^{6} \cosh\left(x\right)^{4} + 5 \, {\left(9 \, b^{6} \cosh\left(x\right)^{2} - b^{6}\right)} \sinh\left(x\right)^{8} + 5 \, b^{6} \cosh\left(x\right)^{2} + 40 \, {\left(3 \, b^{6} \cosh\left(x\right)^{3} - b^{6} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 10 \, {\left(21 \, b^{6} \cosh\left(x\right)^{4} - 14 \, b^{6} \cosh\left(x\right)^{2} + b^{6}\right)} \sinh\left(x\right)^{6} - b^{6} + 4 \, {\left(63 \, b^{6} \cosh\left(x\right)^{5} - 70 \, b^{6} \cosh\left(x\right)^{3} + 15 \, b^{6} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 10 \, {\left(21 \, b^{6} \cosh\left(x\right)^{6} - 35 \, b^{6} \cosh\left(x\right)^{4} + 15 \, b^{6} \cosh\left(x\right)^{2} - b^{6}\right)} \sinh\left(x\right)^{4} + 40 \, {\left(3 \, b^{6} \cosh\left(x\right)^{7} - 7 \, b^{6} \cosh\left(x\right)^{5} + 5 \, b^{6} \cosh\left(x\right)^{3} - b^{6} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 5 \, {\left(9 \, b^{6} \cosh\left(x\right)^{8} - 28 \, b^{6} \cosh\left(x\right)^{6} + 30 \, b^{6} \cosh\left(x\right)^{4} - 12 \, b^{6} \cosh\left(x\right)^{2} + b^{6}\right)} \sinh\left(x\right)^{2} + 10 \, {\left(b^{6} \cosh\left(x\right)^{9} - 4 \, b^{6} \cosh\left(x\right)^{7} + 6 \, b^{6} \cosh\left(x\right)^{5} - 4 \, b^{6} \cosh\left(x\right)^{3} + b^{6} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{-a^{2} + b^{2}} \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{a^{2} - b^{2}}\right) + 15 \, {\left(a^{2} b^{5} - b^{7}\right)} \cosh\left(x\right) + 5 \, {\left(27 \, {\left(a^{2} b^{5} - b^{7}\right)} \cosh\left(x\right)^{8} - 24 \, {\left(a^{3} b^{4} - a b^{6}\right)} \cosh\left(x\right)^{7} + 3 \, a^{2} b^{5} - 3 \, b^{7} + 28 \, {\left(a^{4} b^{3} - 5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{6} - 36 \, {\left(a^{5} b^{2} - 4 \, a^{3} b^{4} + 3 \, a b^{6}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(24 \, a^{6} b - 92 \, a^{4} b^{3} + 157 \, a^{2} b^{5} - 89 \, b^{7}\right)} \cosh\left(x\right)^{4} - 8 \, {\left(8 \, a^{7} - 31 \, a^{5} b^{2} + 47 \, a^{3} b^{4} - 24 \, a b^{6}\right)} \cosh\left(x\right)^{3} + 12 \, {\left(a^{4} b^{3} - 5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(4 \, a^{7} - 17 \, a^{5} b^{2} + 28 \, a^{3} b^{4} - 15 \, a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}{15 \, {\left({\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{10} + 10 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right) \sinh\left(x\right)^{9} + {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \sinh\left(x\right)^{10} - 5 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{8} - 5 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8} - 9 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{8} - a^{8} + 4 \, a^{6} b^{2} - 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} - b^{8} + 40 \, {\left(3 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{3} - {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 10 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{6} + 10 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8} + 21 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{4} - 14 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 4 \, {\left(63 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{5} - 70 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{3} + 15 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 10 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{4} - 10 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8} - 21 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{6} + 35 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{4} - 15 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 40 \, {\left(3 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{7} - 7 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{3} - {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 5 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{2} + 5 \, {\left(9 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{8} + a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8} - 28 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{6} + 30 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{4} - 12 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 10 \, {\left({\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{9} - 4 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{7} + 6 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{5} - 4 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{3} + {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}\right]"," ",0,"[1/15*(30*(a^2*b^5 - b^7)*cosh(x)^9 + 30*(a^2*b^5 - b^7)*sinh(x)^9 - 30*(a^3*b^4 - a*b^6)*cosh(x)^8 - 30*(a^3*b^4 - a*b^6 - 9*(a^2*b^5 - b^7)*cosh(x))*sinh(x)^8 + 40*(a^4*b^3 - 5*a^2*b^5 + 4*b^7)*cosh(x)^7 + 40*(a^4*b^3 - 5*a^2*b^5 + 4*b^7 + 27*(a^2*b^5 - b^7)*cosh(x)^2 - 6*(a^3*b^4 - a*b^6)*cosh(x))*sinh(x)^7 - 16*a^7 + 68*a^5*b^2 - 118*a^3*b^4 + 66*a*b^6 - 60*(a^5*b^2 - 4*a^3*b^4 + 3*a*b^6)*cosh(x)^6 - 20*(3*a^5*b^2 - 12*a^3*b^4 + 9*a*b^6 - 126*(a^2*b^5 - b^7)*cosh(x)^3 + 42*(a^3*b^4 - a*b^6)*cosh(x)^2 - 14*(a^4*b^3 - 5*a^2*b^5 + 4*b^7)*cosh(x))*sinh(x)^6 + 4*(24*a^6*b - 92*a^4*b^3 + 157*a^2*b^5 - 89*b^7)*cosh(x)^5 + 4*(24*a^6*b - 92*a^4*b^3 + 157*a^2*b^5 - 89*b^7 + 945*(a^2*b^5 - b^7)*cosh(x)^4 - 420*(a^3*b^4 - a*b^6)*cosh(x)^3 + 210*(a^4*b^3 - 5*a^2*b^5 + 4*b^7)*cosh(x)^2 - 90*(a^5*b^2 - 4*a^3*b^4 + 3*a*b^6)*cosh(x))*sinh(x)^5 - 20*(8*a^7 - 31*a^5*b^2 + 47*a^3*b^4 - 24*a*b^6)*cosh(x)^4 - 20*(8*a^7 - 31*a^5*b^2 + 47*a^3*b^4 - 24*a*b^6 - 189*(a^2*b^5 - b^7)*cosh(x)^5 + 105*(a^3*b^4 - a*b^6)*cosh(x)^4 - 70*(a^4*b^3 - 5*a^2*b^5 + 4*b^7)*cosh(x)^3 + 45*(a^5*b^2 - 4*a^3*b^4 + 3*a*b^6)*cosh(x)^2 - (24*a^6*b - 92*a^4*b^3 + 157*a^2*b^5 - 89*b^7)*cosh(x))*sinh(x)^4 + 40*(a^4*b^3 - 5*a^2*b^5 + 4*b^7)*cosh(x)^3 + 40*(a^4*b^3 - 5*a^2*b^5 + 4*b^7 + 63*(a^2*b^5 - b^7)*cosh(x)^6 - 42*(a^3*b^4 - a*b^6)*cosh(x)^5 + 35*(a^4*b^3 - 5*a^2*b^5 + 4*b^7)*cosh(x)^4 - 30*(a^5*b^2 - 4*a^3*b^4 + 3*a*b^6)*cosh(x)^3 + (24*a^6*b - 92*a^4*b^3 + 157*a^2*b^5 - 89*b^7)*cosh(x)^2 - 2*(8*a^7 - 31*a^5*b^2 + 47*a^3*b^4 - 24*a*b^6)*cosh(x))*sinh(x)^3 + 20*(4*a^7 - 17*a^5*b^2 + 28*a^3*b^4 - 15*a*b^6)*cosh(x)^2 + 20*(54*(a^2*b^5 - b^7)*cosh(x)^7 + 4*a^7 - 17*a^5*b^2 + 28*a^3*b^4 - 15*a*b^6 - 42*(a^3*b^4 - a*b^6)*cosh(x)^6 + 42*(a^4*b^3 - 5*a^2*b^5 + 4*b^7)*cosh(x)^5 - 45*(a^5*b^2 - 4*a^3*b^4 + 3*a*b^6)*cosh(x)^4 + 2*(24*a^6*b - 92*a^4*b^3 + 157*a^2*b^5 - 89*b^7)*cosh(x)^3 - 6*(8*a^7 - 31*a^5*b^2 + 47*a^3*b^4 - 24*a*b^6)*cosh(x)^2 + 6*(a^4*b^3 - 5*a^2*b^5 + 4*b^7)*cosh(x))*sinh(x)^2 - 15*(b^6*cosh(x)^10 + 10*b^6*cosh(x)*sinh(x)^9 + b^6*sinh(x)^10 - 5*b^6*cosh(x)^8 + 10*b^6*cosh(x)^6 - 10*b^6*cosh(x)^4 + 5*(9*b^6*cosh(x)^2 - b^6)*sinh(x)^8 + 5*b^6*cosh(x)^2 + 40*(3*b^6*cosh(x)^3 - b^6*cosh(x))*sinh(x)^7 + 10*(21*b^6*cosh(x)^4 - 14*b^6*cosh(x)^2 + b^6)*sinh(x)^6 - b^6 + 4*(63*b^6*cosh(x)^5 - 70*b^6*cosh(x)^3 + 15*b^6*cosh(x))*sinh(x)^5 + 10*(21*b^6*cosh(x)^6 - 35*b^6*cosh(x)^4 + 15*b^6*cosh(x)^2 - b^6)*sinh(x)^4 + 40*(3*b^6*cosh(x)^7 - 7*b^6*cosh(x)^5 + 5*b^6*cosh(x)^3 - b^6*cosh(x))*sinh(x)^3 + 5*(9*b^6*cosh(x)^8 - 28*b^6*cosh(x)^6 + 30*b^6*cosh(x)^4 - 12*b^6*cosh(x)^2 + b^6)*sinh(x)^2 + 10*(b^6*cosh(x)^9 - 4*b^6*cosh(x)^7 + 6*b^6*cosh(x)^5 - 4*b^6*cosh(x)^3 + b^6*cosh(x))*sinh(x))*sqrt(a^2 - b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 - b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 - b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) + b)) + 30*(a^2*b^5 - b^7)*cosh(x) + 10*(27*(a^2*b^5 - b^7)*cosh(x)^8 - 24*(a^3*b^4 - a*b^6)*cosh(x)^7 + 3*a^2*b^5 - 3*b^7 + 28*(a^4*b^3 - 5*a^2*b^5 + 4*b^7)*cosh(x)^6 - 36*(a^5*b^2 - 4*a^3*b^4 + 3*a*b^6)*cosh(x)^5 + 2*(24*a^6*b - 92*a^4*b^3 + 157*a^2*b^5 - 89*b^7)*cosh(x)^4 - 8*(8*a^7 - 31*a^5*b^2 + 47*a^3*b^4 - 24*a*b^6)*cosh(x)^3 + 12*(a^4*b^3 - 5*a^2*b^5 + 4*b^7)*cosh(x)^2 + 4*(4*a^7 - 17*a^5*b^2 + 28*a^3*b^4 - 15*a*b^6)*cosh(x))*sinh(x))/((a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^10 + 10*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)*sinh(x)^9 + (a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*sinh(x)^10 - 5*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^8 - 5*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8 - 9*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^2)*sinh(x)^8 - a^8 + 4*a^6*b^2 - 6*a^4*b^4 + 4*a^2*b^6 - b^8 + 40*(3*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^3 - (a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x))*sinh(x)^7 + 10*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^6 + 10*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8 + 21*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^4 - 14*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^2)*sinh(x)^6 + 4*(63*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^5 - 70*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^3 + 15*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x))*sinh(x)^5 - 10*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^4 - 10*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8 - 21*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^6 + 35*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^4 - 15*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^2)*sinh(x)^4 + 40*(3*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^7 - 7*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^5 + 5*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^3 - (a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x))*sinh(x)^3 + 5*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^2 + 5*(9*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^8 + a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8 - 28*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^6 + 30*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^4 - 12*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^2)*sinh(x)^2 + 10*((a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^9 - 4*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^7 + 6*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^5 - 4*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^3 + (a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x))*sinh(x)), 2/15*(15*(a^2*b^5 - b^7)*cosh(x)^9 + 15*(a^2*b^5 - b^7)*sinh(x)^9 - 15*(a^3*b^4 - a*b^6)*cosh(x)^8 - 15*(a^3*b^4 - a*b^6 - 9*(a^2*b^5 - b^7)*cosh(x))*sinh(x)^8 + 20*(a^4*b^3 - 5*a^2*b^5 + 4*b^7)*cosh(x)^7 + 20*(a^4*b^3 - 5*a^2*b^5 + 4*b^7 + 27*(a^2*b^5 - b^7)*cosh(x)^2 - 6*(a^3*b^4 - a*b^6)*cosh(x))*sinh(x)^7 - 8*a^7 + 34*a^5*b^2 - 59*a^3*b^4 + 33*a*b^6 - 30*(a^5*b^2 - 4*a^3*b^4 + 3*a*b^6)*cosh(x)^6 - 10*(3*a^5*b^2 - 12*a^3*b^4 + 9*a*b^6 - 126*(a^2*b^5 - b^7)*cosh(x)^3 + 42*(a^3*b^4 - a*b^6)*cosh(x)^2 - 14*(a^4*b^3 - 5*a^2*b^5 + 4*b^7)*cosh(x))*sinh(x)^6 + 2*(24*a^6*b - 92*a^4*b^3 + 157*a^2*b^5 - 89*b^7)*cosh(x)^5 + 2*(24*a^6*b - 92*a^4*b^3 + 157*a^2*b^5 - 89*b^7 + 945*(a^2*b^5 - b^7)*cosh(x)^4 - 420*(a^3*b^4 - a*b^6)*cosh(x)^3 + 210*(a^4*b^3 - 5*a^2*b^5 + 4*b^7)*cosh(x)^2 - 90*(a^5*b^2 - 4*a^3*b^4 + 3*a*b^6)*cosh(x))*sinh(x)^5 - 10*(8*a^7 - 31*a^5*b^2 + 47*a^3*b^4 - 24*a*b^6)*cosh(x)^4 - 10*(8*a^7 - 31*a^5*b^2 + 47*a^3*b^4 - 24*a*b^6 - 189*(a^2*b^5 - b^7)*cosh(x)^5 + 105*(a^3*b^4 - a*b^6)*cosh(x)^4 - 70*(a^4*b^3 - 5*a^2*b^5 + 4*b^7)*cosh(x)^3 + 45*(a^5*b^2 - 4*a^3*b^4 + 3*a*b^6)*cosh(x)^2 - (24*a^6*b - 92*a^4*b^3 + 157*a^2*b^5 - 89*b^7)*cosh(x))*sinh(x)^4 + 20*(a^4*b^3 - 5*a^2*b^5 + 4*b^7)*cosh(x)^3 + 20*(a^4*b^3 - 5*a^2*b^5 + 4*b^7 + 63*(a^2*b^5 - b^7)*cosh(x)^6 - 42*(a^3*b^4 - a*b^6)*cosh(x)^5 + 35*(a^4*b^3 - 5*a^2*b^5 + 4*b^7)*cosh(x)^4 - 30*(a^5*b^2 - 4*a^3*b^4 + 3*a*b^6)*cosh(x)^3 + (24*a^6*b - 92*a^4*b^3 + 157*a^2*b^5 - 89*b^7)*cosh(x)^2 - 2*(8*a^7 - 31*a^5*b^2 + 47*a^3*b^4 - 24*a*b^6)*cosh(x))*sinh(x)^3 + 10*(4*a^7 - 17*a^5*b^2 + 28*a^3*b^4 - 15*a*b^6)*cosh(x)^2 + 10*(54*(a^2*b^5 - b^7)*cosh(x)^7 + 4*a^7 - 17*a^5*b^2 + 28*a^3*b^4 - 15*a*b^6 - 42*(a^3*b^4 - a*b^6)*cosh(x)^6 + 42*(a^4*b^3 - 5*a^2*b^5 + 4*b^7)*cosh(x)^5 - 45*(a^5*b^2 - 4*a^3*b^4 + 3*a*b^6)*cosh(x)^4 + 2*(24*a^6*b - 92*a^4*b^3 + 157*a^2*b^5 - 89*b^7)*cosh(x)^3 - 6*(8*a^7 - 31*a^5*b^2 + 47*a^3*b^4 - 24*a*b^6)*cosh(x)^2 + 6*(a^4*b^3 - 5*a^2*b^5 + 4*b^7)*cosh(x))*sinh(x)^2 - 15*(b^6*cosh(x)^10 + 10*b^6*cosh(x)*sinh(x)^9 + b^6*sinh(x)^10 - 5*b^6*cosh(x)^8 + 10*b^6*cosh(x)^6 - 10*b^6*cosh(x)^4 + 5*(9*b^6*cosh(x)^2 - b^6)*sinh(x)^8 + 5*b^6*cosh(x)^2 + 40*(3*b^6*cosh(x)^3 - b^6*cosh(x))*sinh(x)^7 + 10*(21*b^6*cosh(x)^4 - 14*b^6*cosh(x)^2 + b^6)*sinh(x)^6 - b^6 + 4*(63*b^6*cosh(x)^5 - 70*b^6*cosh(x)^3 + 15*b^6*cosh(x))*sinh(x)^5 + 10*(21*b^6*cosh(x)^6 - 35*b^6*cosh(x)^4 + 15*b^6*cosh(x)^2 - b^6)*sinh(x)^4 + 40*(3*b^6*cosh(x)^7 - 7*b^6*cosh(x)^5 + 5*b^6*cosh(x)^3 - b^6*cosh(x))*sinh(x)^3 + 5*(9*b^6*cosh(x)^8 - 28*b^6*cosh(x)^6 + 30*b^6*cosh(x)^4 - 12*b^6*cosh(x)^2 + b^6)*sinh(x)^2 + 10*(b^6*cosh(x)^9 - 4*b^6*cosh(x)^7 + 6*b^6*cosh(x)^5 - 4*b^6*cosh(x)^3 + b^6*cosh(x))*sinh(x))*sqrt(-a^2 + b^2)*arctan(-sqrt(-a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a)/(a^2 - b^2)) + 15*(a^2*b^5 - b^7)*cosh(x) + 5*(27*(a^2*b^5 - b^7)*cosh(x)^8 - 24*(a^3*b^4 - a*b^6)*cosh(x)^7 + 3*a^2*b^5 - 3*b^7 + 28*(a^4*b^3 - 5*a^2*b^5 + 4*b^7)*cosh(x)^6 - 36*(a^5*b^2 - 4*a^3*b^4 + 3*a*b^6)*cosh(x)^5 + 2*(24*a^6*b - 92*a^4*b^3 + 157*a^2*b^5 - 89*b^7)*cosh(x)^4 - 8*(8*a^7 - 31*a^5*b^2 + 47*a^3*b^4 - 24*a*b^6)*cosh(x)^3 + 12*(a^4*b^3 - 5*a^2*b^5 + 4*b^7)*cosh(x)^2 + 4*(4*a^7 - 17*a^5*b^2 + 28*a^3*b^4 - 15*a*b^6)*cosh(x))*sinh(x))/((a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^10 + 10*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)*sinh(x)^9 + (a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*sinh(x)^10 - 5*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^8 - 5*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8 - 9*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^2)*sinh(x)^8 - a^8 + 4*a^6*b^2 - 6*a^4*b^4 + 4*a^2*b^6 - b^8 + 40*(3*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^3 - (a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x))*sinh(x)^7 + 10*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^6 + 10*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8 + 21*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^4 - 14*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^2)*sinh(x)^6 + 4*(63*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^5 - 70*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^3 + 15*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x))*sinh(x)^5 - 10*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^4 - 10*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8 - 21*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^6 + 35*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^4 - 15*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^2)*sinh(x)^4 + 40*(3*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^7 - 7*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^5 + 5*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^3 - (a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x))*sinh(x)^3 + 5*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^2 + 5*(9*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^8 + a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8 - 28*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^6 + 30*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^4 - 12*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^2)*sinh(x)^2 + 10*((a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^9 - 4*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^7 + 6*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^5 - 4*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^3 + (a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x))*sinh(x))]","B",0
178,1,700,0,0.585044," ","integrate(sinh(x)^2/(a+b*cosh(x))^2,x, algorithm=""fricas"")","\left[\frac{{\left(a^{2} b - b^{3}\right)} x \cosh\left(x\right)^{2} + {\left(a^{2} b - b^{3}\right)} x \sinh\left(x\right)^{2} + 2 \, a^{2} b - 2 \, b^{3} + {\left(a b \cosh\left(x\right)^{2} + a b \sinh\left(x\right)^{2} + 2 \, a^{2} \cosh\left(x\right) + a b + 2 \, {\left(a b \cosh\left(x\right) + a^{2}\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} - b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b}\right) + {\left(a^{2} b - b^{3}\right)} x + 2 \, {\left(a^{3} - a b^{2} + {\left(a^{3} - a b^{2}\right)} x\right)} \cosh\left(x\right) + 2 \, {\left(a^{3} - a b^{2} + {\left(a^{2} b - b^{3}\right)} x \cosh\left(x\right) + {\left(a^{3} - a b^{2}\right)} x\right)} \sinh\left(x\right)}{a^{2} b^{3} - b^{5} + {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{2} + {\left(a^{2} b^{3} - b^{5}\right)} \sinh\left(x\right)^{2} + 2 \, {\left(a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right) + 2 \, {\left(a^{3} b^{2} - a b^{4} + {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}, \frac{{\left(a^{2} b - b^{3}\right)} x \cosh\left(x\right)^{2} + {\left(a^{2} b - b^{3}\right)} x \sinh\left(x\right)^{2} + 2 \, a^{2} b - 2 \, b^{3} + 2 \, {\left(a b \cosh\left(x\right)^{2} + a b \sinh\left(x\right)^{2} + 2 \, a^{2} \cosh\left(x\right) + a b + 2 \, {\left(a b \cosh\left(x\right) + a^{2}\right)} \sinh\left(x\right)\right)} \sqrt{-a^{2} + b^{2}} \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{a^{2} - b^{2}}\right) + {\left(a^{2} b - b^{3}\right)} x + 2 \, {\left(a^{3} - a b^{2} + {\left(a^{3} - a b^{2}\right)} x\right)} \cosh\left(x\right) + 2 \, {\left(a^{3} - a b^{2} + {\left(a^{2} b - b^{3}\right)} x \cosh\left(x\right) + {\left(a^{3} - a b^{2}\right)} x\right)} \sinh\left(x\right)}{a^{2} b^{3} - b^{5} + {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{2} + {\left(a^{2} b^{3} - b^{5}\right)} \sinh\left(x\right)^{2} + 2 \, {\left(a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right) + 2 \, {\left(a^{3} b^{2} - a b^{4} + {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}\right]"," ",0,"[((a^2*b - b^3)*x*cosh(x)^2 + (a^2*b - b^3)*x*sinh(x)^2 + 2*a^2*b - 2*b^3 + (a*b*cosh(x)^2 + a*b*sinh(x)^2 + 2*a^2*cosh(x) + a*b + 2*(a*b*cosh(x) + a^2)*sinh(x))*sqrt(a^2 - b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 - b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 - b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) + b)) + (a^2*b - b^3)*x + 2*(a^3 - a*b^2 + (a^3 - a*b^2)*x)*cosh(x) + 2*(a^3 - a*b^2 + (a^2*b - b^3)*x*cosh(x) + (a^3 - a*b^2)*x)*sinh(x))/(a^2*b^3 - b^5 + (a^2*b^3 - b^5)*cosh(x)^2 + (a^2*b^3 - b^5)*sinh(x)^2 + 2*(a^3*b^2 - a*b^4)*cosh(x) + 2*(a^3*b^2 - a*b^4 + (a^2*b^3 - b^5)*cosh(x))*sinh(x)), ((a^2*b - b^3)*x*cosh(x)^2 + (a^2*b - b^3)*x*sinh(x)^2 + 2*a^2*b - 2*b^3 + 2*(a*b*cosh(x)^2 + a*b*sinh(x)^2 + 2*a^2*cosh(x) + a*b + 2*(a*b*cosh(x) + a^2)*sinh(x))*sqrt(-a^2 + b^2)*arctan(-sqrt(-a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a)/(a^2 - b^2)) + (a^2*b - b^3)*x + 2*(a^3 - a*b^2 + (a^3 - a*b^2)*x)*cosh(x) + 2*(a^3 - a*b^2 + (a^2*b - b^3)*x*cosh(x) + (a^3 - a*b^2)*x)*sinh(x))/(a^2*b^3 - b^5 + (a^2*b^3 - b^5)*cosh(x)^2 + (a^2*b^3 - b^5)*sinh(x)^2 + 2*(a^3*b^2 - a*b^4)*cosh(x) + 2*(a^3*b^2 - a*b^4 + (a^2*b^3 - b^5)*cosh(x))*sinh(x))]","B",0
179,1,2003,0,1.574883," ","integrate(tanh(x)^4/(a+b*cosh(x)),x, algorithm=""fricas"")","\left[-\frac{3 \, a^{2} b \cosh\left(x\right)^{5} + 3 \, a^{2} b \sinh\left(x\right)^{5} - 6 \, {\left(2 \, a^{3} - a b^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(5 \, a^{2} b \cosh\left(x\right) - 4 \, a^{3} + 2 \, a b^{2}\right)} \sinh\left(x\right)^{4} - 3 \, a^{2} b \cosh\left(x\right) + 6 \, {\left(5 \, a^{2} b \cosh\left(x\right)^{2} - 4 \, {\left(2 \, a^{3} - a b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 8 \, a^{3} + 6 \, a b^{2} - 12 \, {\left(a^{3} - a b^{2}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(5 \, a^{2} b \cosh\left(x\right)^{3} - 2 \, a^{3} + 2 \, a b^{2} - 6 \, {\left(2 \, a^{3} - a b^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 3 \, {\left({\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{2} - b^{2}\right)} \sinh\left(x\right)^{6} + 3 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(5 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{2} + a^{2} - b^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{4} + 6 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{2} + a^{2} - b^{2}\right)} \sinh\left(x\right)^{2} + a^{2} - b^{2} + 6 \, {\left({\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} - b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b}\right) - 3 \, {\left({\left(3 \, a^{2} b - 2 \, b^{3}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(3 \, a^{2} b - 2 \, b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(3 \, a^{2} b - 2 \, b^{3}\right)} \sinh\left(x\right)^{6} + 3 \, {\left(3 \, a^{2} b - 2 \, b^{3}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, a^{2} b - 2 \, b^{3} + 5 \, {\left(3 \, a^{2} b - 2 \, b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(3 \, a^{2} b - 2 \, b^{3}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(3 \, a^{2} b - 2 \, b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, a^{2} b - 2 \, b^{3} + 3 \, {\left(3 \, a^{2} b - 2 \, b^{3}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, {\left(3 \, a^{2} b - 2 \, b^{3}\right)} \cosh\left(x\right)^{4} + 3 \, a^{2} b - 2 \, b^{3} + 6 \, {\left(3 \, a^{2} b - 2 \, b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(3 \, a^{2} b - 2 \, b^{3}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(3 \, a^{2} b - 2 \, b^{3}\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{2} b - 2 \, b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + 3 \, {\left(5 \, a^{2} b \cosh\left(x\right)^{4} - 8 \, {\left(2 \, a^{3} - a b^{2}\right)} \cosh\left(x\right)^{3} - a^{2} b - 8 \, {\left(a^{3} - a b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{3 \, {\left(a^{4} \cosh\left(x\right)^{6} + 6 \, a^{4} \cosh\left(x\right) \sinh\left(x\right)^{5} + a^{4} \sinh\left(x\right)^{6} + 3 \, a^{4} \cosh\left(x\right)^{4} + 3 \, a^{4} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, a^{4} \cosh\left(x\right)^{2} + a^{4}\right)} \sinh\left(x\right)^{4} + a^{4} + 4 \, {\left(5 \, a^{4} \cosh\left(x\right)^{3} + 3 \, a^{4} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(5 \, a^{4} \cosh\left(x\right)^{4} + 6 \, a^{4} \cosh\left(x\right)^{2} + a^{4}\right)} \sinh\left(x\right)^{2} + 6 \, {\left(a^{4} \cosh\left(x\right)^{5} + 2 \, a^{4} \cosh\left(x\right)^{3} + a^{4} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}, -\frac{3 \, a^{2} b \cosh\left(x\right)^{5} + 3 \, a^{2} b \sinh\left(x\right)^{5} - 6 \, {\left(2 \, a^{3} - a b^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(5 \, a^{2} b \cosh\left(x\right) - 4 \, a^{3} + 2 \, a b^{2}\right)} \sinh\left(x\right)^{4} - 3 \, a^{2} b \cosh\left(x\right) + 6 \, {\left(5 \, a^{2} b \cosh\left(x\right)^{2} - 4 \, {\left(2 \, a^{3} - a b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 8 \, a^{3} + 6 \, a b^{2} - 12 \, {\left(a^{3} - a b^{2}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(5 \, a^{2} b \cosh\left(x\right)^{3} - 2 \, a^{3} + 2 \, a b^{2} - 6 \, {\left(2 \, a^{3} - a b^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{2} - b^{2}\right)} \sinh\left(x\right)^{6} + 3 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(5 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{2} + a^{2} - b^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{4} + 6 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{2} + a^{2} - b^{2}\right)} \sinh\left(x\right)^{2} + a^{2} - b^{2} + 6 \, {\left({\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{-a^{2} + b^{2}} \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{a^{2} - b^{2}}\right) - 3 \, {\left({\left(3 \, a^{2} b - 2 \, b^{3}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(3 \, a^{2} b - 2 \, b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(3 \, a^{2} b - 2 \, b^{3}\right)} \sinh\left(x\right)^{6} + 3 \, {\left(3 \, a^{2} b - 2 \, b^{3}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, a^{2} b - 2 \, b^{3} + 5 \, {\left(3 \, a^{2} b - 2 \, b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(3 \, a^{2} b - 2 \, b^{3}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(3 \, a^{2} b - 2 \, b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, a^{2} b - 2 \, b^{3} + 3 \, {\left(3 \, a^{2} b - 2 \, b^{3}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, {\left(3 \, a^{2} b - 2 \, b^{3}\right)} \cosh\left(x\right)^{4} + 3 \, a^{2} b - 2 \, b^{3} + 6 \, {\left(3 \, a^{2} b - 2 \, b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(3 \, a^{2} b - 2 \, b^{3}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(3 \, a^{2} b - 2 \, b^{3}\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{2} b - 2 \, b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + 3 \, {\left(5 \, a^{2} b \cosh\left(x\right)^{4} - 8 \, {\left(2 \, a^{3} - a b^{2}\right)} \cosh\left(x\right)^{3} - a^{2} b - 8 \, {\left(a^{3} - a b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{3 \, {\left(a^{4} \cosh\left(x\right)^{6} + 6 \, a^{4} \cosh\left(x\right) \sinh\left(x\right)^{5} + a^{4} \sinh\left(x\right)^{6} + 3 \, a^{4} \cosh\left(x\right)^{4} + 3 \, a^{4} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, a^{4} \cosh\left(x\right)^{2} + a^{4}\right)} \sinh\left(x\right)^{4} + a^{4} + 4 \, {\left(5 \, a^{4} \cosh\left(x\right)^{3} + 3 \, a^{4} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(5 \, a^{4} \cosh\left(x\right)^{4} + 6 \, a^{4} \cosh\left(x\right)^{2} + a^{4}\right)} \sinh\left(x\right)^{2} + 6 \, {\left(a^{4} \cosh\left(x\right)^{5} + 2 \, a^{4} \cosh\left(x\right)^{3} + a^{4} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}\right]"," ",0,"[-1/3*(3*a^2*b*cosh(x)^5 + 3*a^2*b*sinh(x)^5 - 6*(2*a^3 - a*b^2)*cosh(x)^4 + 3*(5*a^2*b*cosh(x) - 4*a^3 + 2*a*b^2)*sinh(x)^4 - 3*a^2*b*cosh(x) + 6*(5*a^2*b*cosh(x)^2 - 4*(2*a^3 - a*b^2)*cosh(x))*sinh(x)^3 - 8*a^3 + 6*a*b^2 - 12*(a^3 - a*b^2)*cosh(x)^2 + 6*(5*a^2*b*cosh(x)^3 - 2*a^3 + 2*a*b^2 - 6*(2*a^3 - a*b^2)*cosh(x)^2)*sinh(x)^2 + 3*((a^2 - b^2)*cosh(x)^6 + 6*(a^2 - b^2)*cosh(x)*sinh(x)^5 + (a^2 - b^2)*sinh(x)^6 + 3*(a^2 - b^2)*cosh(x)^4 + 3*(5*(a^2 - b^2)*cosh(x)^2 + a^2 - b^2)*sinh(x)^4 + 4*(5*(a^2 - b^2)*cosh(x)^3 + 3*(a^2 - b^2)*cosh(x))*sinh(x)^3 + 3*(a^2 - b^2)*cosh(x)^2 + 3*(5*(a^2 - b^2)*cosh(x)^4 + 6*(a^2 - b^2)*cosh(x)^2 + a^2 - b^2)*sinh(x)^2 + a^2 - b^2 + 6*((a^2 - b^2)*cosh(x)^5 + 2*(a^2 - b^2)*cosh(x)^3 + (a^2 - b^2)*cosh(x))*sinh(x))*sqrt(a^2 - b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 - b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 - b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) + b)) - 3*((3*a^2*b - 2*b^3)*cosh(x)^6 + 6*(3*a^2*b - 2*b^3)*cosh(x)*sinh(x)^5 + (3*a^2*b - 2*b^3)*sinh(x)^6 + 3*(3*a^2*b - 2*b^3)*cosh(x)^4 + 3*(3*a^2*b - 2*b^3 + 5*(3*a^2*b - 2*b^3)*cosh(x)^2)*sinh(x)^4 + 4*(5*(3*a^2*b - 2*b^3)*cosh(x)^3 + 3*(3*a^2*b - 2*b^3)*cosh(x))*sinh(x)^3 + 3*a^2*b - 2*b^3 + 3*(3*a^2*b - 2*b^3)*cosh(x)^2 + 3*(5*(3*a^2*b - 2*b^3)*cosh(x)^4 + 3*a^2*b - 2*b^3 + 6*(3*a^2*b - 2*b^3)*cosh(x)^2)*sinh(x)^2 + 6*((3*a^2*b - 2*b^3)*cosh(x)^5 + 2*(3*a^2*b - 2*b^3)*cosh(x)^3 + (3*a^2*b - 2*b^3)*cosh(x))*sinh(x))*arctan(cosh(x) + sinh(x)) + 3*(5*a^2*b*cosh(x)^4 - 8*(2*a^3 - a*b^2)*cosh(x)^3 - a^2*b - 8*(a^3 - a*b^2)*cosh(x))*sinh(x))/(a^4*cosh(x)^6 + 6*a^4*cosh(x)*sinh(x)^5 + a^4*sinh(x)^6 + 3*a^4*cosh(x)^4 + 3*a^4*cosh(x)^2 + 3*(5*a^4*cosh(x)^2 + a^4)*sinh(x)^4 + a^4 + 4*(5*a^4*cosh(x)^3 + 3*a^4*cosh(x))*sinh(x)^3 + 3*(5*a^4*cosh(x)^4 + 6*a^4*cosh(x)^2 + a^4)*sinh(x)^2 + 6*(a^4*cosh(x)^5 + 2*a^4*cosh(x)^3 + a^4*cosh(x))*sinh(x)), -1/3*(3*a^2*b*cosh(x)^5 + 3*a^2*b*sinh(x)^5 - 6*(2*a^3 - a*b^2)*cosh(x)^4 + 3*(5*a^2*b*cosh(x) - 4*a^3 + 2*a*b^2)*sinh(x)^4 - 3*a^2*b*cosh(x) + 6*(5*a^2*b*cosh(x)^2 - 4*(2*a^3 - a*b^2)*cosh(x))*sinh(x)^3 - 8*a^3 + 6*a*b^2 - 12*(a^3 - a*b^2)*cosh(x)^2 + 6*(5*a^2*b*cosh(x)^3 - 2*a^3 + 2*a*b^2 - 6*(2*a^3 - a*b^2)*cosh(x)^2)*sinh(x)^2 + 6*((a^2 - b^2)*cosh(x)^6 + 6*(a^2 - b^2)*cosh(x)*sinh(x)^5 + (a^2 - b^2)*sinh(x)^6 + 3*(a^2 - b^2)*cosh(x)^4 + 3*(5*(a^2 - b^2)*cosh(x)^2 + a^2 - b^2)*sinh(x)^4 + 4*(5*(a^2 - b^2)*cosh(x)^3 + 3*(a^2 - b^2)*cosh(x))*sinh(x)^3 + 3*(a^2 - b^2)*cosh(x)^2 + 3*(5*(a^2 - b^2)*cosh(x)^4 + 6*(a^2 - b^2)*cosh(x)^2 + a^2 - b^2)*sinh(x)^2 + a^2 - b^2 + 6*((a^2 - b^2)*cosh(x)^5 + 2*(a^2 - b^2)*cosh(x)^3 + (a^2 - b^2)*cosh(x))*sinh(x))*sqrt(-a^2 + b^2)*arctan(-sqrt(-a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a)/(a^2 - b^2)) - 3*((3*a^2*b - 2*b^3)*cosh(x)^6 + 6*(3*a^2*b - 2*b^3)*cosh(x)*sinh(x)^5 + (3*a^2*b - 2*b^3)*sinh(x)^6 + 3*(3*a^2*b - 2*b^3)*cosh(x)^4 + 3*(3*a^2*b - 2*b^3 + 5*(3*a^2*b - 2*b^3)*cosh(x)^2)*sinh(x)^4 + 4*(5*(3*a^2*b - 2*b^3)*cosh(x)^3 + 3*(3*a^2*b - 2*b^3)*cosh(x))*sinh(x)^3 + 3*a^2*b - 2*b^3 + 3*(3*a^2*b - 2*b^3)*cosh(x)^2 + 3*(5*(3*a^2*b - 2*b^3)*cosh(x)^4 + 3*a^2*b - 2*b^3 + 6*(3*a^2*b - 2*b^3)*cosh(x)^2)*sinh(x)^2 + 6*((3*a^2*b - 2*b^3)*cosh(x)^5 + 2*(3*a^2*b - 2*b^3)*cosh(x)^3 + (3*a^2*b - 2*b^3)*cosh(x))*sinh(x))*arctan(cosh(x) + sinh(x)) + 3*(5*a^2*b*cosh(x)^4 - 8*(2*a^3 - a*b^2)*cosh(x)^3 - a^2*b - 8*(a^3 - a*b^2)*cosh(x))*sinh(x))/(a^4*cosh(x)^6 + 6*a^4*cosh(x)*sinh(x)^5 + a^4*sinh(x)^6 + 3*a^4*cosh(x)^4 + 3*a^4*cosh(x)^2 + 3*(5*a^4*cosh(x)^2 + a^4)*sinh(x)^4 + a^4 + 4*(5*a^4*cosh(x)^3 + 3*a^4*cosh(x))*sinh(x)^3 + 3*(5*a^4*cosh(x)^4 + 6*a^4*cosh(x)^2 + a^4)*sinh(x)^2 + 6*(a^4*cosh(x)^5 + 2*a^4*cosh(x)^3 + a^4*cosh(x))*sinh(x))]","B",0
180,1,450,0,0.709745," ","integrate(tanh(x)^3/(a+b*cosh(x)),x, algorithm=""fricas"")","-\frac{2 \, a b \cosh\left(x\right)^{3} + 2 \, a b \sinh\left(x\right)^{3} - 2 \, a^{2} \cosh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, {\left(3 \, a b \cosh\left(x\right) - a^{2}\right)} \sinh\left(x\right)^{2} + {\left({\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{2} - b^{2}\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{2} + a^{2} - b^{2}\right)} \sinh\left(x\right)^{2} + a^{2} - b^{2} + 4 \, {\left({\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - {\left({\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{2} - b^{2}\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{2} + a^{2} - b^{2}\right)} \sinh\left(x\right)^{2} + a^{2} - b^{2} + 4 \, {\left({\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 2 \, {\left(3 \, a b \cosh\left(x\right)^{2} - 2 \, a^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right)}{a^{3} \cosh\left(x\right)^{4} + 4 \, a^{3} \cosh\left(x\right) \sinh\left(x\right)^{3} + a^{3} \sinh\left(x\right)^{4} + 2 \, a^{3} \cosh\left(x\right)^{2} + a^{3} + 2 \, {\left(3 \, a^{3} \cosh\left(x\right)^{2} + a^{3}\right)} \sinh\left(x\right)^{2} + 4 \, {\left(a^{3} \cosh\left(x\right)^{3} + a^{3} \cosh\left(x\right)\right)} \sinh\left(x\right)}"," ",0,"-(2*a*b*cosh(x)^3 + 2*a*b*sinh(x)^3 - 2*a^2*cosh(x)^2 + 2*a*b*cosh(x) + 2*(3*a*b*cosh(x) - a^2)*sinh(x)^2 + ((a^2 - b^2)*cosh(x)^4 + 4*(a^2 - b^2)*cosh(x)*sinh(x)^3 + (a^2 - b^2)*sinh(x)^4 + 2*(a^2 - b^2)*cosh(x)^2 + 2*(3*(a^2 - b^2)*cosh(x)^2 + a^2 - b^2)*sinh(x)^2 + a^2 - b^2 + 4*((a^2 - b^2)*cosh(x)^3 + (a^2 - b^2)*cosh(x))*sinh(x))*log(2*(b*cosh(x) + a)/(cosh(x) - sinh(x))) - ((a^2 - b^2)*cosh(x)^4 + 4*(a^2 - b^2)*cosh(x)*sinh(x)^3 + (a^2 - b^2)*sinh(x)^4 + 2*(a^2 - b^2)*cosh(x)^2 + 2*(3*(a^2 - b^2)*cosh(x)^2 + a^2 - b^2)*sinh(x)^2 + a^2 - b^2 + 4*((a^2 - b^2)*cosh(x)^3 + (a^2 - b^2)*cosh(x))*sinh(x))*log(2*cosh(x)/(cosh(x) - sinh(x))) + 2*(3*a*b*cosh(x)^2 - 2*a^2*cosh(x) + a*b)*sinh(x))/(a^3*cosh(x)^4 + 4*a^3*cosh(x)*sinh(x)^3 + a^3*sinh(x)^4 + 2*a^3*cosh(x)^2 + a^3 + 2*(3*a^3*cosh(x)^2 + a^3)*sinh(x)^2 + 4*(a^3*cosh(x)^3 + a^3*cosh(x))*sinh(x))","B",0
181,1,326,0,0.632452," ","integrate(tanh(x)^2/(a+b*cosh(x)),x, algorithm=""fricas"")","\left[\frac{\sqrt{a^{2} - b^{2}} {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + 1\right)} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b}\right) + 2 \, {\left(b \cosh\left(x\right)^{2} + 2 \, b \cosh\left(x\right) \sinh\left(x\right) + b \sinh\left(x\right)^{2} + b\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + 2 \, a}{a^{2} \cosh\left(x\right)^{2} + 2 \, a^{2} \cosh\left(x\right) \sinh\left(x\right) + a^{2} \sinh\left(x\right)^{2} + a^{2}}, -\frac{2 \, {\left(\sqrt{-a^{2} + b^{2}} {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + 1\right)} \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{a^{2} - b^{2}}\right) - {\left(b \cosh\left(x\right)^{2} + 2 \, b \cosh\left(x\right) \sinh\left(x\right) + b \sinh\left(x\right)^{2} + b\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) - a\right)}}{a^{2} \cosh\left(x\right)^{2} + 2 \, a^{2} \cosh\left(x\right) \sinh\left(x\right) + a^{2} \sinh\left(x\right)^{2} + a^{2}}\right]"," ",0,"[(sqrt(a^2 - b^2)*(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + 1)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 - b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 - b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) + b)) + 2*(b*cosh(x)^2 + 2*b*cosh(x)*sinh(x) + b*sinh(x)^2 + b)*arctan(cosh(x) + sinh(x)) + 2*a)/(a^2*cosh(x)^2 + 2*a^2*cosh(x)*sinh(x) + a^2*sinh(x)^2 + a^2), -2*(sqrt(-a^2 + b^2)*(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + 1)*arctan(-sqrt(-a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a)/(a^2 - b^2)) - (b*cosh(x)^2 + 2*b*cosh(x)*sinh(x) + b*sinh(x)^2 + b)*arctan(cosh(x) + sinh(x)) - a)/(a^2*cosh(x)^2 + 2*a^2*cosh(x)*sinh(x) + a^2*sinh(x)^2 + a^2)]","B",0
182,1,40,0,1.434973," ","integrate(tanh(x)/(a+b*cosh(x)),x, algorithm=""fricas"")","-\frac{\log\left(\frac{2 \, {\left(b \cosh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a}"," ",0,"-(log(2*(b*cosh(x) + a)/(cosh(x) - sinh(x))) - log(2*cosh(x)/(cosh(x) - sinh(x))))/a","A",0
183,1,60,0,0.555540," ","integrate(coth(x)/(a+b*cosh(x)),x, algorithm=""fricas"")","-\frac{a \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - {\left(a + b\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - {\left(a - b\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right)}{a^{2} - b^{2}}"," ",0,"-(a*log(2*(b*cosh(x) + a)/(cosh(x) - sinh(x))) - (a + b)*log(cosh(x) + sinh(x) + 1) - (a - b)*log(cosh(x) + sinh(x) - 1))/(a^2 - b^2)","A",0
184,1,470,0,0.414952," ","integrate(coth(x)^2/(a+b*cosh(x)),x, algorithm=""fricas"")","\left[\frac{2 \, a^{3} - 2 \, a b^{2} + {\left(a^{2} \cosh\left(x\right)^{2} + 2 \, a^{2} \cosh\left(x\right) \sinh\left(x\right) + a^{2} \sinh\left(x\right)^{2} - a^{2}\right)} \sqrt{a^{2} - b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b}\right) - 2 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right) - 2 \, {\left(a^{2} b - b^{3}\right)} \sinh\left(x\right)}{a^{4} - 2 \, a^{2} b^{2} + b^{4} - {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right) - {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \sinh\left(x\right)^{2}}, \frac{2 \, {\left(a^{3} - a b^{2} + {\left(a^{2} \cosh\left(x\right)^{2} + 2 \, a^{2} \cosh\left(x\right) \sinh\left(x\right) + a^{2} \sinh\left(x\right)^{2} - a^{2}\right)} \sqrt{-a^{2} + b^{2}} \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{a^{2} - b^{2}}\right) - {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right) - {\left(a^{2} b - b^{3}\right)} \sinh\left(x\right)\right)}}{a^{4} - 2 \, a^{2} b^{2} + b^{4} - {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right) - {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \sinh\left(x\right)^{2}}\right]"," ",0,"[(2*a^3 - 2*a*b^2 + (a^2*cosh(x)^2 + 2*a^2*cosh(x)*sinh(x) + a^2*sinh(x)^2 - a^2)*sqrt(a^2 - b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 - b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 - b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) + b)) - 2*(a^2*b - b^3)*cosh(x) - 2*(a^2*b - b^3)*sinh(x))/(a^4 - 2*a^2*b^2 + b^4 - (a^4 - 2*a^2*b^2 + b^4)*cosh(x)^2 - 2*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)*sinh(x) - (a^4 - 2*a^2*b^2 + b^4)*sinh(x)^2), 2*(a^3 - a*b^2 + (a^2*cosh(x)^2 + 2*a^2*cosh(x)*sinh(x) + a^2*sinh(x)^2 - a^2)*sqrt(-a^2 + b^2)*arctan(-sqrt(-a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a)/(a^2 - b^2)) - (a^2*b - b^3)*cosh(x) - (a^2*b - b^3)*sinh(x))/(a^4 - 2*a^2*b^2 + b^4 - (a^4 - 2*a^2*b^2 + b^4)*cosh(x)^2 - 2*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)*sinh(x) - (a^4 - 2*a^2*b^2 + b^4)*sinh(x)^2)]","B",0
185,1,839,0,0.437433," ","integrate(coth(x)^3/(a+b*cosh(x)),x, algorithm=""fricas"")","\frac{2 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(a^{2} b - b^{3}\right)} \sinh\left(x\right)^{3} - 4 \, {\left(a^{3} - a b^{2}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(2 \, a^{3} - 2 \, a b^{2} - 3 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 2 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right) - 2 \, {\left(a^{3} \cosh\left(x\right)^{4} + 4 \, a^{3} \cosh\left(x\right) \sinh\left(x\right)^{3} + a^{3} \sinh\left(x\right)^{4} - 2 \, a^{3} \cosh\left(x\right)^{2} + a^{3} + 2 \, {\left(3 \, a^{3} \cosh\left(x\right)^{2} - a^{3}\right)} \sinh\left(x\right)^{2} + 4 \, {\left(a^{3} \cosh\left(x\right)^{3} - a^{3} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + {\left({\left(2 \, a^{3} + 3 \, a^{2} b - b^{3}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(2 \, a^{3} + 3 \, a^{2} b - b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(2 \, a^{3} + 3 \, a^{2} b - b^{3}\right)} \sinh\left(x\right)^{4} + 2 \, a^{3} + 3 \, a^{2} b - b^{3} - 2 \, {\left(2 \, a^{3} + 3 \, a^{2} b - b^{3}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a^{2} b - b^{3} - 3 \, {\left(2 \, a^{3} + 3 \, a^{2} b - b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(2 \, a^{3} + 3 \, a^{2} b - b^{3}\right)} \cosh\left(x\right)^{3} - {\left(2 \, a^{3} + 3 \, a^{2} b - b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + {\left({\left(2 \, a^{3} - 3 \, a^{2} b + b^{3}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(2 \, a^{3} - 3 \, a^{2} b + b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(2 \, a^{3} - 3 \, a^{2} b + b^{3}\right)} \sinh\left(x\right)^{4} + 2 \, a^{3} - 3 \, a^{2} b + b^{3} - 2 \, {\left(2 \, a^{3} - 3 \, a^{2} b + b^{3}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a^{2} b + b^{3} - 3 \, {\left(2 \, a^{3} - 3 \, a^{2} b + b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(2 \, a^{3} - 3 \, a^{2} b + b^{3}\right)} \cosh\left(x\right)^{3} - {\left(2 \, a^{3} - 3 \, a^{2} b + b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 2 \, {\left(a^{2} b - b^{3} + 3 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{2} - 4 \, {\left(a^{3} - a b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{2 \, {\left({\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \sinh\left(x\right)^{4} + a^{4} - 2 \, a^{2} b^{2} + b^{4} - 2 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4} - 3 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{3} - {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"1/2*(2*(a^2*b - b^3)*cosh(x)^3 + 2*(a^2*b - b^3)*sinh(x)^3 - 4*(a^3 - a*b^2)*cosh(x)^2 - 2*(2*a^3 - 2*a*b^2 - 3*(a^2*b - b^3)*cosh(x))*sinh(x)^2 + 2*(a^2*b - b^3)*cosh(x) - 2*(a^3*cosh(x)^4 + 4*a^3*cosh(x)*sinh(x)^3 + a^3*sinh(x)^4 - 2*a^3*cosh(x)^2 + a^3 + 2*(3*a^3*cosh(x)^2 - a^3)*sinh(x)^2 + 4*(a^3*cosh(x)^3 - a^3*cosh(x))*sinh(x))*log(2*(b*cosh(x) + a)/(cosh(x) - sinh(x))) + ((2*a^3 + 3*a^2*b - b^3)*cosh(x)^4 + 4*(2*a^3 + 3*a^2*b - b^3)*cosh(x)*sinh(x)^3 + (2*a^3 + 3*a^2*b - b^3)*sinh(x)^4 + 2*a^3 + 3*a^2*b - b^3 - 2*(2*a^3 + 3*a^2*b - b^3)*cosh(x)^2 - 2*(2*a^3 + 3*a^2*b - b^3 - 3*(2*a^3 + 3*a^2*b - b^3)*cosh(x)^2)*sinh(x)^2 + 4*((2*a^3 + 3*a^2*b - b^3)*cosh(x)^3 - (2*a^3 + 3*a^2*b - b^3)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) + 1) + ((2*a^3 - 3*a^2*b + b^3)*cosh(x)^4 + 4*(2*a^3 - 3*a^2*b + b^3)*cosh(x)*sinh(x)^3 + (2*a^3 - 3*a^2*b + b^3)*sinh(x)^4 + 2*a^3 - 3*a^2*b + b^3 - 2*(2*a^3 - 3*a^2*b + b^3)*cosh(x)^2 - 2*(2*a^3 - 3*a^2*b + b^3 - 3*(2*a^3 - 3*a^2*b + b^3)*cosh(x)^2)*sinh(x)^2 + 4*((2*a^3 - 3*a^2*b + b^3)*cosh(x)^3 - (2*a^3 - 3*a^2*b + b^3)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) - 1) + 2*(a^2*b - b^3 + 3*(a^2*b - b^3)*cosh(x)^2 - 4*(a^3 - a*b^2)*cosh(x))*sinh(x))/((a^4 - 2*a^2*b^2 + b^4)*cosh(x)^4 + 4*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)*sinh(x)^3 + (a^4 - 2*a^2*b^2 + b^4)*sinh(x)^4 + a^4 - 2*a^2*b^2 + b^4 - 2*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^2 - 2*(a^4 - 2*a^2*b^2 + b^4 - 3*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^2)*sinh(x)^2 + 4*((a^4 - 2*a^2*b^2 + b^4)*cosh(x)^3 - (a^4 - 2*a^2*b^2 + b^4)*cosh(x))*sinh(x))","B",0
186,1,2417,0,0.635463," ","integrate(coth(x)^4/(a+b*cosh(x)),x, algorithm=""fricas"")","\left[\frac{6 \, {\left(2 \, a^{4} b - 3 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{5} + 6 \, {\left(2 \, a^{4} b - 3 \, a^{2} b^{3} + b^{5}\right)} \sinh\left(x\right)^{5} - 8 \, a^{5} + 10 \, a^{3} b^{2} - 2 \, a b^{4} - 6 \, {\left(2 \, a^{5} - 3 \, a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)^{4} - 6 \, {\left(2 \, a^{5} - 3 \, a^{3} b^{2} + a b^{4} - 5 \, {\left(2 \, a^{4} b - 3 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} - 4 \, {\left(4 \, a^{4} b - 5 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{3} - 4 \, {\left(4 \, a^{4} b - 5 \, a^{2} b^{3} + b^{5} - 15 \, {\left(2 \, a^{4} b - 3 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(2 \, a^{5} - 3 \, a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 12 \, {\left(a^{5} - a^{3} b^{2}\right)} \cosh\left(x\right)^{2} + 12 \, {\left(a^{5} - a^{3} b^{2} + 5 \, {\left(2 \, a^{4} b - 3 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(2 \, a^{5} - 3 \, a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)^{2} - {\left(4 \, a^{4} b - 5 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 3 \, {\left(a^{4} \cosh\left(x\right)^{6} + 6 \, a^{4} \cosh\left(x\right) \sinh\left(x\right)^{5} + a^{4} \sinh\left(x\right)^{6} - 3 \, a^{4} \cosh\left(x\right)^{4} + 3 \, a^{4} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, a^{4} \cosh\left(x\right)^{2} - a^{4}\right)} \sinh\left(x\right)^{4} - a^{4} + 4 \, {\left(5 \, a^{4} \cosh\left(x\right)^{3} - 3 \, a^{4} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(5 \, a^{4} \cosh\left(x\right)^{4} - 6 \, a^{4} \cosh\left(x\right)^{2} + a^{4}\right)} \sinh\left(x\right)^{2} + 6 \, {\left(a^{4} \cosh\left(x\right)^{5} - 2 \, a^{4} \cosh\left(x\right)^{3} + a^{4} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} - b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b}\right) + 6 \, {\left(2 \, a^{4} b - 3 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right) + 6 \, {\left(2 \, a^{4} b - 3 \, a^{2} b^{3} + b^{5} + 5 \, {\left(2 \, a^{4} b - 3 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{4} - 4 \, {\left(2 \, a^{5} - 3 \, a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)^{3} - 2 \, {\left(4 \, a^{4} b - 5 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(a^{5} - a^{3} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{3 \, {\left({\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \sinh\left(x\right)^{6} - a^{6} + 3 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + b^{6} - 3 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{4} - 3 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6} - 5 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6} + 5 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{4} - 6 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{3} + {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}, \frac{2 \, {\left(3 \, {\left(2 \, a^{4} b - 3 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{5} + 3 \, {\left(2 \, a^{4} b - 3 \, a^{2} b^{3} + b^{5}\right)} \sinh\left(x\right)^{5} - 4 \, a^{5} + 5 \, a^{3} b^{2} - a b^{4} - 3 \, {\left(2 \, a^{5} - 3 \, a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)^{4} - 3 \, {\left(2 \, a^{5} - 3 \, a^{3} b^{2} + a b^{4} - 5 \, {\left(2 \, a^{4} b - 3 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} - 2 \, {\left(4 \, a^{4} b - 5 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{3} - 2 \, {\left(4 \, a^{4} b - 5 \, a^{2} b^{3} + b^{5} - 15 \, {\left(2 \, a^{4} b - 3 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(2 \, a^{5} - 3 \, a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 6 \, {\left(a^{5} - a^{3} b^{2}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(a^{5} - a^{3} b^{2} + 5 \, {\left(2 \, a^{4} b - 3 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(2 \, a^{5} - 3 \, a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)^{2} - {\left(4 \, a^{4} b - 5 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 3 \, {\left(a^{4} \cosh\left(x\right)^{6} + 6 \, a^{4} \cosh\left(x\right) \sinh\left(x\right)^{5} + a^{4} \sinh\left(x\right)^{6} - 3 \, a^{4} \cosh\left(x\right)^{4} + 3 \, a^{4} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, a^{4} \cosh\left(x\right)^{2} - a^{4}\right)} \sinh\left(x\right)^{4} - a^{4} + 4 \, {\left(5 \, a^{4} \cosh\left(x\right)^{3} - 3 \, a^{4} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(5 \, a^{4} \cosh\left(x\right)^{4} - 6 \, a^{4} \cosh\left(x\right)^{2} + a^{4}\right)} \sinh\left(x\right)^{2} + 6 \, {\left(a^{4} \cosh\left(x\right)^{5} - 2 \, a^{4} \cosh\left(x\right)^{3} + a^{4} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{-a^{2} + b^{2}} \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{a^{2} - b^{2}}\right) + 3 \, {\left(2 \, a^{4} b - 3 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right) + 3 \, {\left(2 \, a^{4} b - 3 \, a^{2} b^{3} + b^{5} + 5 \, {\left(2 \, a^{4} b - 3 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{4} - 4 \, {\left(2 \, a^{5} - 3 \, a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)^{3} - 2 \, {\left(4 \, a^{4} b - 5 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(a^{5} - a^{3} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}{3 \, {\left({\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \sinh\left(x\right)^{6} - a^{6} + 3 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + b^{6} - 3 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{4} - 3 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6} - 5 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6} + 5 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{4} - 6 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{3} + {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}\right]"," ",0,"[1/3*(6*(2*a^4*b - 3*a^2*b^3 + b^5)*cosh(x)^5 + 6*(2*a^4*b - 3*a^2*b^3 + b^5)*sinh(x)^5 - 8*a^5 + 10*a^3*b^2 - 2*a*b^4 - 6*(2*a^5 - 3*a^3*b^2 + a*b^4)*cosh(x)^4 - 6*(2*a^5 - 3*a^3*b^2 + a*b^4 - 5*(2*a^4*b - 3*a^2*b^3 + b^5)*cosh(x))*sinh(x)^4 - 4*(4*a^4*b - 5*a^2*b^3 + b^5)*cosh(x)^3 - 4*(4*a^4*b - 5*a^2*b^3 + b^5 - 15*(2*a^4*b - 3*a^2*b^3 + b^5)*cosh(x)^2 + 6*(2*a^5 - 3*a^3*b^2 + a*b^4)*cosh(x))*sinh(x)^3 + 12*(a^5 - a^3*b^2)*cosh(x)^2 + 12*(a^5 - a^3*b^2 + 5*(2*a^4*b - 3*a^2*b^3 + b^5)*cosh(x)^3 - 3*(2*a^5 - 3*a^3*b^2 + a*b^4)*cosh(x)^2 - (4*a^4*b - 5*a^2*b^3 + b^5)*cosh(x))*sinh(x)^2 + 3*(a^4*cosh(x)^6 + 6*a^4*cosh(x)*sinh(x)^5 + a^4*sinh(x)^6 - 3*a^4*cosh(x)^4 + 3*a^4*cosh(x)^2 + 3*(5*a^4*cosh(x)^2 - a^4)*sinh(x)^4 - a^4 + 4*(5*a^4*cosh(x)^3 - 3*a^4*cosh(x))*sinh(x)^3 + 3*(5*a^4*cosh(x)^4 - 6*a^4*cosh(x)^2 + a^4)*sinh(x)^2 + 6*(a^4*cosh(x)^5 - 2*a^4*cosh(x)^3 + a^4*cosh(x))*sinh(x))*sqrt(a^2 - b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 - b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 - b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) + b)) + 6*(2*a^4*b - 3*a^2*b^3 + b^5)*cosh(x) + 6*(2*a^4*b - 3*a^2*b^3 + b^5 + 5*(2*a^4*b - 3*a^2*b^3 + b^5)*cosh(x)^4 - 4*(2*a^5 - 3*a^3*b^2 + a*b^4)*cosh(x)^3 - 2*(4*a^4*b - 5*a^2*b^3 + b^5)*cosh(x)^2 + 4*(a^5 - a^3*b^2)*cosh(x))*sinh(x))/((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^6 + 6*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)*sinh(x)^5 + (a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*sinh(x)^6 - a^6 + 3*a^4*b^2 - 3*a^2*b^4 + b^6 - 3*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^4 - 3*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6 - 5*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^2)*sinh(x)^4 + 4*(5*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^3 - 3*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x))*sinh(x)^3 + 3*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^2 + 3*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6 + 5*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^4 - 6*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^2)*sinh(x)^2 + 6*((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^5 - 2*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^3 + (a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x))*sinh(x)), 2/3*(3*(2*a^4*b - 3*a^2*b^3 + b^5)*cosh(x)^5 + 3*(2*a^4*b - 3*a^2*b^3 + b^5)*sinh(x)^5 - 4*a^5 + 5*a^3*b^2 - a*b^4 - 3*(2*a^5 - 3*a^3*b^2 + a*b^4)*cosh(x)^4 - 3*(2*a^5 - 3*a^3*b^2 + a*b^4 - 5*(2*a^4*b - 3*a^2*b^3 + b^5)*cosh(x))*sinh(x)^4 - 2*(4*a^4*b - 5*a^2*b^3 + b^5)*cosh(x)^3 - 2*(4*a^4*b - 5*a^2*b^3 + b^5 - 15*(2*a^4*b - 3*a^2*b^3 + b^5)*cosh(x)^2 + 6*(2*a^5 - 3*a^3*b^2 + a*b^4)*cosh(x))*sinh(x)^3 + 6*(a^5 - a^3*b^2)*cosh(x)^2 + 6*(a^5 - a^3*b^2 + 5*(2*a^4*b - 3*a^2*b^3 + b^5)*cosh(x)^3 - 3*(2*a^5 - 3*a^3*b^2 + a*b^4)*cosh(x)^2 - (4*a^4*b - 5*a^2*b^3 + b^5)*cosh(x))*sinh(x)^2 - 3*(a^4*cosh(x)^6 + 6*a^4*cosh(x)*sinh(x)^5 + a^4*sinh(x)^6 - 3*a^4*cosh(x)^4 + 3*a^4*cosh(x)^2 + 3*(5*a^4*cosh(x)^2 - a^4)*sinh(x)^4 - a^4 + 4*(5*a^4*cosh(x)^3 - 3*a^4*cosh(x))*sinh(x)^3 + 3*(5*a^4*cosh(x)^4 - 6*a^4*cosh(x)^2 + a^4)*sinh(x)^2 + 6*(a^4*cosh(x)^5 - 2*a^4*cosh(x)^3 + a^4*cosh(x))*sinh(x))*sqrt(-a^2 + b^2)*arctan(-sqrt(-a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a)/(a^2 - b^2)) + 3*(2*a^4*b - 3*a^2*b^3 + b^5)*cosh(x) + 3*(2*a^4*b - 3*a^2*b^3 + b^5 + 5*(2*a^4*b - 3*a^2*b^3 + b^5)*cosh(x)^4 - 4*(2*a^5 - 3*a^3*b^2 + a*b^4)*cosh(x)^3 - 2*(4*a^4*b - 5*a^2*b^3 + b^5)*cosh(x)^2 + 4*(a^5 - a^3*b^2)*cosh(x))*sinh(x))/((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^6 + 6*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)*sinh(x)^5 + (a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*sinh(x)^6 - a^6 + 3*a^4*b^2 - 3*a^2*b^4 + b^6 - 3*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^4 - 3*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6 - 5*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^2)*sinh(x)^4 + 4*(5*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^3 - 3*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x))*sinh(x)^3 + 3*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^2 + 3*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6 + 5*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^4 - 6*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^2)*sinh(x)^2 + 6*((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^5 - 2*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^3 + (a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x))*sinh(x))]","B",0
187,1,750,0,0.524898," ","integrate(tanh(x)^6/(a+a*cosh(x)),x, algorithm=""fricas"")","-\frac{25 \, \cosh\left(x\right)^{9} + 5 \, {\left(45 \, \cosh\left(x\right) - 8\right)} \sinh\left(x\right)^{8} + 25 \, \sinh\left(x\right)^{9} - 40 \, \cosh\left(x\right)^{8} + 10 \, {\left(90 \, \cosh\left(x\right)^{2} - 32 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{7} + 10 \, \cosh\left(x\right)^{7} + 70 \, {\left(30 \, \cosh\left(x\right)^{3} - 16 \, \cosh\left(x\right)^{2} + \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} + 70 \, {\left(45 \, \cosh\left(x\right)^{4} - 32 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{5} + 10 \, {\left(315 \, \cosh\left(x\right)^{5} - 280 \, \cosh\left(x\right)^{4} + 35 \, \cosh\left(x\right)^{3} - 8\right)} \sinh\left(x\right)^{4} - 80 \, \cosh\left(x\right)^{4} + 10 \, {\left(210 \, \cosh\left(x\right)^{6} - 224 \, \cosh\left(x\right)^{5} + 35 \, \cosh\left(x\right)^{4} - 32 \, \cosh\left(x\right) - 1\right)} \sinh\left(x\right)^{3} - 10 \, \cosh\left(x\right)^{3} + 10 \, {\left(90 \, \cosh\left(x\right)^{7} - 112 \, \cosh\left(x\right)^{6} + 21 \, \cosh\left(x\right)^{5} - 48 \, \cosh\left(x\right)^{2} - 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 15 \, {\left(\cosh\left(x\right)^{10} + 10 \, \cosh\left(x\right) \sinh\left(x\right)^{9} + \sinh\left(x\right)^{10} + 5 \, {\left(9 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{8} + 5 \, \cosh\left(x\right)^{8} + 40 \, {\left(3 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 10 \, {\left(21 \, \cosh\left(x\right)^{4} + 14 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{6} + 10 \, \cosh\left(x\right)^{6} + 4 \, {\left(63 \, \cosh\left(x\right)^{5} + 70 \, \cosh\left(x\right)^{3} + 15 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 10 \, {\left(21 \, \cosh\left(x\right)^{6} + 35 \, \cosh\left(x\right)^{4} + 15 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{4} + 10 \, \cosh\left(x\right)^{4} + 40 \, {\left(3 \, \cosh\left(x\right)^{7} + 7 \, \cosh\left(x\right)^{5} + 5 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 5 \, {\left(9 \, \cosh\left(x\right)^{8} + 28 \, \cosh\left(x\right)^{6} + 30 \, \cosh\left(x\right)^{4} + 12 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + 5 \, \cosh\left(x\right)^{2} + 10 \, {\left(\cosh\left(x\right)^{9} + 4 \, \cosh\left(x\right)^{7} + 6 \, \cosh\left(x\right)^{5} + 4 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + 5 \, {\left(45 \, \cosh\left(x\right)^{8} - 64 \, \cosh\left(x\right)^{7} + 14 \, \cosh\left(x\right)^{6} - 64 \, \cosh\left(x\right)^{3} - 6 \, \cosh\left(x\right)^{2} - 5\right)} \sinh\left(x\right) - 25 \, \cosh\left(x\right) - 8}{20 \, {\left(a \cosh\left(x\right)^{10} + 10 \, a \cosh\left(x\right) \sinh\left(x\right)^{9} + a \sinh\left(x\right)^{10} + 5 \, a \cosh\left(x\right)^{8} + 5 \, {\left(9 \, a \cosh\left(x\right)^{2} + a\right)} \sinh\left(x\right)^{8} + 40 \, {\left(3 \, a \cosh\left(x\right)^{3} + a \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 10 \, a \cosh\left(x\right)^{6} + 10 \, {\left(21 \, a \cosh\left(x\right)^{4} + 14 \, a \cosh\left(x\right)^{2} + a\right)} \sinh\left(x\right)^{6} + 4 \, {\left(63 \, a \cosh\left(x\right)^{5} + 70 \, a \cosh\left(x\right)^{3} + 15 \, a \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 10 \, a \cosh\left(x\right)^{4} + 10 \, {\left(21 \, a \cosh\left(x\right)^{6} + 35 \, a \cosh\left(x\right)^{4} + 15 \, a \cosh\left(x\right)^{2} + a\right)} \sinh\left(x\right)^{4} + 40 \, {\left(3 \, a \cosh\left(x\right)^{7} + 7 \, a \cosh\left(x\right)^{5} + 5 \, a \cosh\left(x\right)^{3} + a \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 5 \, a \cosh\left(x\right)^{2} + 5 \, {\left(9 \, a \cosh\left(x\right)^{8} + 28 \, a \cosh\left(x\right)^{6} + 30 \, a \cosh\left(x\right)^{4} + 12 \, a \cosh\left(x\right)^{2} + a\right)} \sinh\left(x\right)^{2} + 10 \, {\left(a \cosh\left(x\right)^{9} + 4 \, a \cosh\left(x\right)^{7} + 6 \, a \cosh\left(x\right)^{5} + 4 \, a \cosh\left(x\right)^{3} + a \cosh\left(x\right)\right)} \sinh\left(x\right) + a\right)}}"," ",0,"-1/20*(25*cosh(x)^9 + 5*(45*cosh(x) - 8)*sinh(x)^8 + 25*sinh(x)^9 - 40*cosh(x)^8 + 10*(90*cosh(x)^2 - 32*cosh(x) + 1)*sinh(x)^7 + 10*cosh(x)^7 + 70*(30*cosh(x)^3 - 16*cosh(x)^2 + cosh(x))*sinh(x)^6 + 70*(45*cosh(x)^4 - 32*cosh(x)^3 + 3*cosh(x)^2)*sinh(x)^5 + 10*(315*cosh(x)^5 - 280*cosh(x)^4 + 35*cosh(x)^3 - 8)*sinh(x)^4 - 80*cosh(x)^4 + 10*(210*cosh(x)^6 - 224*cosh(x)^5 + 35*cosh(x)^4 - 32*cosh(x) - 1)*sinh(x)^3 - 10*cosh(x)^3 + 10*(90*cosh(x)^7 - 112*cosh(x)^6 + 21*cosh(x)^5 - 48*cosh(x)^2 - 3*cosh(x))*sinh(x)^2 - 15*(cosh(x)^10 + 10*cosh(x)*sinh(x)^9 + sinh(x)^10 + 5*(9*cosh(x)^2 + 1)*sinh(x)^8 + 5*cosh(x)^8 + 40*(3*cosh(x)^3 + cosh(x))*sinh(x)^7 + 10*(21*cosh(x)^4 + 14*cosh(x)^2 + 1)*sinh(x)^6 + 10*cosh(x)^6 + 4*(63*cosh(x)^5 + 70*cosh(x)^3 + 15*cosh(x))*sinh(x)^5 + 10*(21*cosh(x)^6 + 35*cosh(x)^4 + 15*cosh(x)^2 + 1)*sinh(x)^4 + 10*cosh(x)^4 + 40*(3*cosh(x)^7 + 7*cosh(x)^5 + 5*cosh(x)^3 + cosh(x))*sinh(x)^3 + 5*(9*cosh(x)^8 + 28*cosh(x)^6 + 30*cosh(x)^4 + 12*cosh(x)^2 + 1)*sinh(x)^2 + 5*cosh(x)^2 + 10*(cosh(x)^9 + 4*cosh(x)^7 + 6*cosh(x)^5 + 4*cosh(x)^3 + cosh(x))*sinh(x) + 1)*arctan(cosh(x) + sinh(x)) + 5*(45*cosh(x)^8 - 64*cosh(x)^7 + 14*cosh(x)^6 - 64*cosh(x)^3 - 6*cosh(x)^2 - 5)*sinh(x) - 25*cosh(x) - 8)/(a*cosh(x)^10 + 10*a*cosh(x)*sinh(x)^9 + a*sinh(x)^10 + 5*a*cosh(x)^8 + 5*(9*a*cosh(x)^2 + a)*sinh(x)^8 + 40*(3*a*cosh(x)^3 + a*cosh(x))*sinh(x)^7 + 10*a*cosh(x)^6 + 10*(21*a*cosh(x)^4 + 14*a*cosh(x)^2 + a)*sinh(x)^6 + 4*(63*a*cosh(x)^5 + 70*a*cosh(x)^3 + 15*a*cosh(x))*sinh(x)^5 + 10*a*cosh(x)^4 + 10*(21*a*cosh(x)^6 + 35*a*cosh(x)^4 + 15*a*cosh(x)^2 + a)*sinh(x)^4 + 40*(3*a*cosh(x)^7 + 7*a*cosh(x)^5 + 5*a*cosh(x)^3 + a*cosh(x))*sinh(x)^3 + 5*a*cosh(x)^2 + 5*(9*a*cosh(x)^8 + 28*a*cosh(x)^6 + 30*a*cosh(x)^4 + 12*a*cosh(x)^2 + a)*sinh(x)^2 + 10*(a*cosh(x)^9 + 4*a*cosh(x)^7 + 6*a*cosh(x)^5 + 4*a*cosh(x)^3 + a*cosh(x))*sinh(x) + a)","B",0
188,1,174,0,0.463667," ","integrate(tanh(x)^5/(a+a*cosh(x)),x, algorithm=""fricas"")","-\frac{2 \, {\left(3 \, \cosh\left(x\right)^{4} + 3 \, {\left(4 \, \cosh\left(x\right) - 1\right)} \sinh\left(x\right)^{3} + 3 \, \sinh\left(x\right)^{4} - 3 \, \cosh\left(x\right)^{3} + {\left(18 \, \cosh\left(x\right)^{2} - 9 \, \cosh\left(x\right) + 8\right)} \sinh\left(x\right)^{2} + 8 \, \cosh\left(x\right)^{2} + {\left(12 \, \cosh\left(x\right)^{3} - 9 \, \cosh\left(x\right)^{2} + 4 \, \cosh\left(x\right) + 3\right)} \sinh\left(x\right) - 3 \, \cosh\left(x\right) + 5\right)}}{3 \, {\left(a \cosh\left(x\right)^{5} + 5 \, a \cosh\left(x\right) \sinh\left(x\right)^{4} + a \sinh\left(x\right)^{5} + 5 \, a \cosh\left(x\right)^{3} + {\left(10 \, a \cosh\left(x\right)^{2} + 3 \, a\right)} \sinh\left(x\right)^{3} + 5 \, {\left(2 \, a \cosh\left(x\right)^{3} + 3 \, a \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 10 \, a \cosh\left(x\right) + {\left(5 \, a \cosh\left(x\right)^{4} + 9 \, a \cosh\left(x\right)^{2} + 2 \, a\right)} \sinh\left(x\right)\right)}}"," ",0,"-2/3*(3*cosh(x)^4 + 3*(4*cosh(x) - 1)*sinh(x)^3 + 3*sinh(x)^4 - 3*cosh(x)^3 + (18*cosh(x)^2 - 9*cosh(x) + 8)*sinh(x)^2 + 8*cosh(x)^2 + (12*cosh(x)^3 - 9*cosh(x)^2 + 4*cosh(x) + 3)*sinh(x) - 3*cosh(x) + 5)/(a*cosh(x)^5 + 5*a*cosh(x)*sinh(x)^4 + a*sinh(x)^5 + 5*a*cosh(x)^3 + (10*a*cosh(x)^2 + 3*a)*sinh(x)^3 + 5*(2*a*cosh(x)^3 + 3*a*cosh(x))*sinh(x)^2 + 10*a*cosh(x) + (5*a*cosh(x)^4 + 9*a*cosh(x)^2 + 2*a)*sinh(x))","B",0
189,1,315,0,0.482238," ","integrate(tanh(x)^4/(a+a*cosh(x)),x, algorithm=""fricas"")","-\frac{3 \, \cosh\left(x\right)^{5} + 3 \, {\left(5 \, \cosh\left(x\right) - 2\right)} \sinh\left(x\right)^{4} + 3 \, \sinh\left(x\right)^{5} - 6 \, \cosh\left(x\right)^{4} + 6 \, {\left(5 \, \cosh\left(x\right)^{2} - 4 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 6 \, {\left(5 \, \cosh\left(x\right)^{3} - 6 \, \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} - 3 \, {\left(\cosh\left(x\right)^{6} + 6 \, \cosh\left(x\right) \sinh\left(x\right)^{5} + \sinh\left(x\right)^{6} + 3 \, {\left(5 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{4} + 3 \, \cosh\left(x\right)^{4} + 4 \, {\left(5 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(5 \, \cosh\left(x\right)^{4} + 6 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + 3 \, \cosh\left(x\right)^{2} + 6 \, {\left(\cosh\left(x\right)^{5} + 2 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + 3 \, {\left(5 \, \cosh\left(x\right)^{4} - 8 \, \cosh\left(x\right)^{3} - 1\right)} \sinh\left(x\right) - 3 \, \cosh\left(x\right) - 2}{3 \, {\left(a \cosh\left(x\right)^{6} + 6 \, a \cosh\left(x\right) \sinh\left(x\right)^{5} + a \sinh\left(x\right)^{6} + 3 \, a \cosh\left(x\right)^{4} + 3 \, {\left(5 \, a \cosh\left(x\right)^{2} + a\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, a \cosh\left(x\right)^{3} + 3 \, a \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, a \cosh\left(x\right)^{2} + 3 \, {\left(5 \, a \cosh\left(x\right)^{4} + 6 \, a \cosh\left(x\right)^{2} + a\right)} \sinh\left(x\right)^{2} + 6 \, {\left(a \cosh\left(x\right)^{5} + 2 \, a \cosh\left(x\right)^{3} + a \cosh\left(x\right)\right)} \sinh\left(x\right) + a\right)}}"," ",0,"-1/3*(3*cosh(x)^5 + 3*(5*cosh(x) - 2)*sinh(x)^4 + 3*sinh(x)^5 - 6*cosh(x)^4 + 6*(5*cosh(x)^2 - 4*cosh(x))*sinh(x)^3 + 6*(5*cosh(x)^3 - 6*cosh(x)^2)*sinh(x)^2 - 3*(cosh(x)^6 + 6*cosh(x)*sinh(x)^5 + sinh(x)^6 + 3*(5*cosh(x)^2 + 1)*sinh(x)^4 + 3*cosh(x)^4 + 4*(5*cosh(x)^3 + 3*cosh(x))*sinh(x)^3 + 3*(5*cosh(x)^4 + 6*cosh(x)^2 + 1)*sinh(x)^2 + 3*cosh(x)^2 + 6*(cosh(x)^5 + 2*cosh(x)^3 + cosh(x))*sinh(x) + 1)*arctan(cosh(x) + sinh(x)) + 3*(5*cosh(x)^4 - 8*cosh(x)^3 - 1)*sinh(x) - 3*cosh(x) - 2)/(a*cosh(x)^6 + 6*a*cosh(x)*sinh(x)^5 + a*sinh(x)^6 + 3*a*cosh(x)^4 + 3*(5*a*cosh(x)^2 + a)*sinh(x)^4 + 4*(5*a*cosh(x)^3 + 3*a*cosh(x))*sinh(x)^3 + 3*a*cosh(x)^2 + 3*(5*a*cosh(x)^4 + 6*a*cosh(x)^2 + a)*sinh(x)^2 + 6*(a*cosh(x)^5 + 2*a*cosh(x)^3 + a*cosh(x))*sinh(x) + a)","B",0
190,1,66,0,0.636881," ","integrate(tanh(x)^3/(a+a*cosh(x)),x, algorithm=""fricas"")","-\frac{2 \, {\left(\cosh\left(x\right)^{2} + {\left(2 \, \cosh\left(x\right) - 1\right)} \sinh\left(x\right) + \sinh\left(x\right)^{2} - \cosh\left(x\right) + 1\right)}}{a \cosh\left(x\right)^{3} + 3 \, a \cosh\left(x\right) \sinh\left(x\right)^{2} + a \sinh\left(x\right)^{3} + 3 \, a \cosh\left(x\right) + {\left(3 \, a \cosh\left(x\right)^{2} + a\right)} \sinh\left(x\right)}"," ",0,"-2*(cosh(x)^2 + (2*cosh(x) - 1)*sinh(x) + sinh(x)^2 - cosh(x) + 1)/(a*cosh(x)^3 + 3*a*cosh(x)*sinh(x)^2 + a*sinh(x)^3 + 3*a*cosh(x) + (3*a*cosh(x)^2 + a)*sinh(x))","B",0
191,1,50,0,0.538966," ","integrate(tanh(x)^2/(a+a*cosh(x)),x, algorithm=""fricas"")","\frac{2 \, {\left({\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + 1\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + 1\right)}}{a \cosh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) \sinh\left(x\right) + a \sinh\left(x\right)^{2} + a}"," ",0,"2*((cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + 1)*arctan(cosh(x) + sinh(x)) + 1)/(a*cosh(x)^2 + 2*a*cosh(x)*sinh(x) + a*sinh(x)^2 + a)","B",0
192,1,28,0,0.519894," ","integrate(tanh(x)/(a+a*cosh(x)),x, algorithm=""fricas"")","\frac{\log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - 2 \, \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right)}{a}"," ",0,"(log(2*cosh(x)/(cosh(x) - sinh(x))) - 2*log(cosh(x) + sinh(x) + 1))/a","A",0
193,1,103,0,0.530145," ","integrate(coth(x)/(a+a*cosh(x)),x, algorithm=""fricas"")","-\frac{{\left(\cosh\left(x\right)^{2} + 2 \, {\left(\cosh\left(x\right) + 1\right)} \sinh\left(x\right) + \sinh\left(x\right)^{2} + 2 \, \cosh\left(x\right) + 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - {\left(\cosh\left(x\right)^{2} + 2 \, {\left(\cosh\left(x\right) + 1\right)} \sinh\left(x\right) + \sinh\left(x\right)^{2} + 2 \, \cosh\left(x\right) + 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 2 \, \cosh\left(x\right) + 2 \, \sinh\left(x\right)}{2 \, {\left(a \cosh\left(x\right)^{2} + a \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(a \cosh\left(x\right) + a\right)} \sinh\left(x\right) + a\right)}}"," ",0,"-1/2*((cosh(x)^2 + 2*(cosh(x) + 1)*sinh(x) + sinh(x)^2 + 2*cosh(x) + 1)*log(cosh(x) + sinh(x) + 1) - (cosh(x)^2 + 2*(cosh(x) + 1)*sinh(x) + sinh(x)^2 + 2*cosh(x) + 1)*log(cosh(x) + sinh(x) - 1) + 2*cosh(x) + 2*sinh(x))/(a*cosh(x)^2 + a*sinh(x)^2 + 2*a*cosh(x) + 2*(a*cosh(x) + a)*sinh(x) + a)","B",0
194,1,91,0,0.446562," ","integrate(coth(x)^2/(a+a*cosh(x)),x, algorithm=""fricas"")","-\frac{2 \, {\left(3 \, \cosh\left(x\right)^{2} + 2 \, {\left(3 \, \cosh\left(x\right) + 2\right)} \sinh\left(x\right) + 3 \, \sinh\left(x\right)^{2} + 2 \, \cosh\left(x\right) + 1\right)}}{3 \, {\left(a \cosh\left(x\right)^{3} + a \sinh\left(x\right)^{3} + 2 \, a \cosh\left(x\right)^{2} + {\left(3 \, a \cosh\left(x\right) + 2 \, a\right)} \sinh\left(x\right)^{2} - a \cosh\left(x\right) + {\left(3 \, a \cosh\left(x\right)^{2} + 4 \, a \cosh\left(x\right) + a\right)} \sinh\left(x\right) - 2 \, a\right)}}"," ",0,"-2/3*(3*cosh(x)^2 + 2*(3*cosh(x) + 2)*sinh(x) + 3*sinh(x)^2 + 2*cosh(x) + 1)/(a*cosh(x)^3 + a*sinh(x)^3 + 2*a*cosh(x)^2 + (3*a*cosh(x) + 2*a)*sinh(x)^2 - a*cosh(x) + (3*a*cosh(x)^2 + 4*a*cosh(x) + a)*sinh(x) - 2*a)","B",0
195,1,631,0,0.525948," ","integrate(coth(x)^3/(a+a*cosh(x)),x, algorithm=""fricas"")","-\frac{10 \, \cosh\left(x\right)^{5} + 2 \, {\left(25 \, \cosh\left(x\right) + 2\right)} \sinh\left(x\right)^{4} + 10 \, \sinh\left(x\right)^{5} + 4 \, \cosh\left(x\right)^{4} + 4 \, {\left(25 \, \cosh\left(x\right)^{2} + 4 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{3} + 4 \, \cosh\left(x\right)^{3} + 4 \, {\left(25 \, \cosh\left(x\right)^{3} + 6 \, \cosh\left(x\right)^{2} + 3 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{2} + 4 \, \cosh\left(x\right)^{2} + 3 \, {\left(\cosh\left(x\right)^{6} + 2 \, {\left(3 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{5} + \sinh\left(x\right)^{6} + 2 \, \cosh\left(x\right)^{5} + {\left(15 \, \cosh\left(x\right)^{2} + 10 \, \cosh\left(x\right) - 1\right)} \sinh\left(x\right)^{4} - \cosh\left(x\right)^{4} + 4 \, {\left(5 \, \cosh\left(x\right)^{3} + 5 \, \cosh\left(x\right)^{2} - \cosh\left(x\right) - 1\right)} \sinh\left(x\right)^{3} - 4 \, \cosh\left(x\right)^{3} + {\left(15 \, \cosh\left(x\right)^{4} + 20 \, \cosh\left(x\right)^{3} - 6 \, \cosh\left(x\right)^{2} - 12 \, \cosh\left(x\right) - 1\right)} \sinh\left(x\right)^{2} - \cosh\left(x\right)^{2} + 2 \, {\left(3 \, \cosh\left(x\right)^{5} + 5 \, \cosh\left(x\right)^{4} - 2 \, \cosh\left(x\right)^{3} - 6 \, \cosh\left(x\right)^{2} - \cosh\left(x\right) + 1\right)} \sinh\left(x\right) + 2 \, \cosh\left(x\right) + 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - 3 \, {\left(\cosh\left(x\right)^{6} + 2 \, {\left(3 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{5} + \sinh\left(x\right)^{6} + 2 \, \cosh\left(x\right)^{5} + {\left(15 \, \cosh\left(x\right)^{2} + 10 \, \cosh\left(x\right) - 1\right)} \sinh\left(x\right)^{4} - \cosh\left(x\right)^{4} + 4 \, {\left(5 \, \cosh\left(x\right)^{3} + 5 \, \cosh\left(x\right)^{2} - \cosh\left(x\right) - 1\right)} \sinh\left(x\right)^{3} - 4 \, \cosh\left(x\right)^{3} + {\left(15 \, \cosh\left(x\right)^{4} + 20 \, \cosh\left(x\right)^{3} - 6 \, \cosh\left(x\right)^{2} - 12 \, \cosh\left(x\right) - 1\right)} \sinh\left(x\right)^{2} - \cosh\left(x\right)^{2} + 2 \, {\left(3 \, \cosh\left(x\right)^{5} + 5 \, \cosh\left(x\right)^{4} - 2 \, \cosh\left(x\right)^{3} - 6 \, \cosh\left(x\right)^{2} - \cosh\left(x\right) + 1\right)} \sinh\left(x\right) + 2 \, \cosh\left(x\right) + 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 2 \, {\left(25 \, \cosh\left(x\right)^{4} + 8 \, \cosh\left(x\right)^{3} + 6 \, \cosh\left(x\right)^{2} + 4 \, \cosh\left(x\right) + 5\right)} \sinh\left(x\right) + 10 \, \cosh\left(x\right)}{8 \, {\left(a \cosh\left(x\right)^{6} + a \sinh\left(x\right)^{6} + 2 \, a \cosh\left(x\right)^{5} + 2 \, {\left(3 \, a \cosh\left(x\right) + a\right)} \sinh\left(x\right)^{5} - a \cosh\left(x\right)^{4} + {\left(15 \, a \cosh\left(x\right)^{2} + 10 \, a \cosh\left(x\right) - a\right)} \sinh\left(x\right)^{4} - 4 \, a \cosh\left(x\right)^{3} + 4 \, {\left(5 \, a \cosh\left(x\right)^{3} + 5 \, a \cosh\left(x\right)^{2} - a \cosh\left(x\right) - a\right)} \sinh\left(x\right)^{3} - a \cosh\left(x\right)^{2} + {\left(15 \, a \cosh\left(x\right)^{4} + 20 \, a \cosh\left(x\right)^{3} - 6 \, a \cosh\left(x\right)^{2} - 12 \, a \cosh\left(x\right) - a\right)} \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(3 \, a \cosh\left(x\right)^{5} + 5 \, a \cosh\left(x\right)^{4} - 2 \, a \cosh\left(x\right)^{3} - 6 \, a \cosh\left(x\right)^{2} - a \cosh\left(x\right) + a\right)} \sinh\left(x\right) + a\right)}}"," ",0,"-1/8*(10*cosh(x)^5 + 2*(25*cosh(x) + 2)*sinh(x)^4 + 10*sinh(x)^5 + 4*cosh(x)^4 + 4*(25*cosh(x)^2 + 4*cosh(x) + 1)*sinh(x)^3 + 4*cosh(x)^3 + 4*(25*cosh(x)^3 + 6*cosh(x)^2 + 3*cosh(x) + 1)*sinh(x)^2 + 4*cosh(x)^2 + 3*(cosh(x)^6 + 2*(3*cosh(x) + 1)*sinh(x)^5 + sinh(x)^6 + 2*cosh(x)^5 + (15*cosh(x)^2 + 10*cosh(x) - 1)*sinh(x)^4 - cosh(x)^4 + 4*(5*cosh(x)^3 + 5*cosh(x)^2 - cosh(x) - 1)*sinh(x)^3 - 4*cosh(x)^3 + (15*cosh(x)^4 + 20*cosh(x)^3 - 6*cosh(x)^2 - 12*cosh(x) - 1)*sinh(x)^2 - cosh(x)^2 + 2*(3*cosh(x)^5 + 5*cosh(x)^4 - 2*cosh(x)^3 - 6*cosh(x)^2 - cosh(x) + 1)*sinh(x) + 2*cosh(x) + 1)*log(cosh(x) + sinh(x) + 1) - 3*(cosh(x)^6 + 2*(3*cosh(x) + 1)*sinh(x)^5 + sinh(x)^6 + 2*cosh(x)^5 + (15*cosh(x)^2 + 10*cosh(x) - 1)*sinh(x)^4 - cosh(x)^4 + 4*(5*cosh(x)^3 + 5*cosh(x)^2 - cosh(x) - 1)*sinh(x)^3 - 4*cosh(x)^3 + (15*cosh(x)^4 + 20*cosh(x)^3 - 6*cosh(x)^2 - 12*cosh(x) - 1)*sinh(x)^2 - cosh(x)^2 + 2*(3*cosh(x)^5 + 5*cosh(x)^4 - 2*cosh(x)^3 - 6*cosh(x)^2 - cosh(x) + 1)*sinh(x) + 2*cosh(x) + 1)*log(cosh(x) + sinh(x) - 1) + 2*(25*cosh(x)^4 + 8*cosh(x)^3 + 6*cosh(x)^2 + 4*cosh(x) + 5)*sinh(x) + 10*cosh(x))/(a*cosh(x)^6 + a*sinh(x)^6 + 2*a*cosh(x)^5 + 2*(3*a*cosh(x) + a)*sinh(x)^5 - a*cosh(x)^4 + (15*a*cosh(x)^2 + 10*a*cosh(x) - a)*sinh(x)^4 - 4*a*cosh(x)^3 + 4*(5*a*cosh(x)^3 + 5*a*cosh(x)^2 - a*cosh(x) - a)*sinh(x)^3 - a*cosh(x)^2 + (15*a*cosh(x)^4 + 20*a*cosh(x)^3 - 6*a*cosh(x)^2 - 12*a*cosh(x) - a)*sinh(x)^2 + 2*a*cosh(x) + 2*(3*a*cosh(x)^5 + 5*a*cosh(x)^4 - 2*a*cosh(x)^3 - 6*a*cosh(x)^2 - a*cosh(x) + a)*sinh(x) + a)","B",0
196,1,224,0,0.435873," ","integrate(coth(x)^4/(a+a*cosh(x)),x, algorithm=""fricas"")","-\frac{2 \, {\left(15 \, \cosh\left(x\right)^{4} + 6 \, {\left(10 \, \cosh\left(x\right) + 3\right)} \sinh\left(x\right)^{3} + 15 \, \sinh\left(x\right)^{4} + 12 \, \cosh\left(x\right)^{3} + 2 \, {\left(45 \, \cosh\left(x\right)^{2} + 18 \, \cosh\left(x\right) + 2\right)} \sinh\left(x\right)^{2} + 4 \, \cosh\left(x\right)^{2} + 2 \, {\left(30 \, \cosh\left(x\right)^{3} + 27 \, \cosh\left(x\right)^{2} - 14 \, \cosh\left(x\right) - 23\right)} \sinh\left(x\right) - 4 \, \cosh\left(x\right) + 13\right)}}{15 \, {\left(a \cosh\left(x\right)^{5} + a \sinh\left(x\right)^{5} + 2 \, a \cosh\left(x\right)^{4} + {\left(5 \, a \cosh\left(x\right) + 2 \, a\right)} \sinh\left(x\right)^{4} - 3 \, a \cosh\left(x\right)^{3} + {\left(10 \, a \cosh\left(x\right)^{2} + 8 \, a \cosh\left(x\right) - a\right)} \sinh\left(x\right)^{3} - 8 \, a \cosh\left(x\right)^{2} + {\left(10 \, a \cosh\left(x\right)^{3} + 12 \, a \cosh\left(x\right)^{2} - 9 \, a \cosh\left(x\right) - 8 \, a\right)} \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + {\left(5 \, a \cosh\left(x\right)^{4} + 8 \, a \cosh\left(x\right)^{3} - 3 \, a \cosh\left(x\right)^{2} - 8 \, a \cosh\left(x\right) - 2 \, a\right)} \sinh\left(x\right) + 6 \, a\right)}}"," ",0,"-2/15*(15*cosh(x)^4 + 6*(10*cosh(x) + 3)*sinh(x)^3 + 15*sinh(x)^4 + 12*cosh(x)^3 + 2*(45*cosh(x)^2 + 18*cosh(x) + 2)*sinh(x)^2 + 4*cosh(x)^2 + 2*(30*cosh(x)^3 + 27*cosh(x)^2 - 14*cosh(x) - 23)*sinh(x) - 4*cosh(x) + 13)/(a*cosh(x)^5 + a*sinh(x)^5 + 2*a*cosh(x)^4 + (5*a*cosh(x) + 2*a)*sinh(x)^4 - 3*a*cosh(x)^3 + (10*a*cosh(x)^2 + 8*a*cosh(x) - a)*sinh(x)^3 - 8*a*cosh(x)^2 + (10*a*cosh(x)^3 + 12*a*cosh(x)^2 - 9*a*cosh(x) - 8*a)*sinh(x)^2 + 2*a*cosh(x) + (5*a*cosh(x)^4 + 8*a*cosh(x)^3 - 3*a*cosh(x)^2 - 8*a*cosh(x) - 2*a)*sinh(x) + 6*a)","B",0
197,1,376,0,0.721672," ","integrate((a+b*cosh(x))^(1/2)*tanh(x),x, algorithm=""fricas"")","\left[\frac{1}{2} \, \sqrt{a} \log\left(-\frac{b^{2} \cosh\left(x\right)^{4} + b^{2} \sinh\left(x\right)^{4} + 16 \, a b \cosh\left(x\right)^{3} + 4 \, {\left(b^{2} \cosh\left(x\right) + 4 \, a b\right)} \sinh\left(x\right)^{3} + 16 \, a b \cosh\left(x\right) + 2 \, {\left(16 \, a^{2} + b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, b^{2} \cosh\left(x\right)^{2} + 24 \, a b \cosh\left(x\right) + 16 \, a^{2} + b^{2}\right)} \sinh\left(x\right)^{2} - 8 \, {\left(b \cosh\left(x\right)^{3} + b \sinh\left(x\right)^{3} + 4 \, a \cosh\left(x\right)^{2} + {\left(3 \, b \cosh\left(x\right) + 4 \, a\right)} \sinh\left(x\right)^{2} + b \cosh\left(x\right) + {\left(3 \, b \cosh\left(x\right)^{2} + 8 \, a \cosh\left(x\right) + b\right)} \sinh\left(x\right)\right)} \sqrt{b \cosh\left(x\right) + a} \sqrt{a} + b^{2} + 4 \, {\left(b^{2} \cosh\left(x\right)^{3} + 12 \, a b \cosh\left(x\right)^{2} + 4 \, a b + {\left(16 \, a^{2} + b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{\cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + 2 \, \cosh\left(x\right)^{2} + 4 \, {\left(\cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1}\right) + 2 \, \sqrt{b \cosh\left(x\right) + a}, \sqrt{-a} \arctan\left(\frac{{\left(b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 4 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + 2 \, a\right)} \sinh\left(x\right) + b\right)} \sqrt{b \cosh\left(x\right) + a} \sqrt{-a}}{2 \, {\left(a b \cosh\left(x\right)^{2} + a b \sinh\left(x\right)^{2} + 2 \, a^{2} \cosh\left(x\right) + a b + 2 \, {\left(a b \cosh\left(x\right) + a^{2}\right)} \sinh\left(x\right)\right)}}\right) + 2 \, \sqrt{b \cosh\left(x\right) + a}\right]"," ",0,"[1/2*sqrt(a)*log(-(b^2*cosh(x)^4 + b^2*sinh(x)^4 + 16*a*b*cosh(x)^3 + 4*(b^2*cosh(x) + 4*a*b)*sinh(x)^3 + 16*a*b*cosh(x) + 2*(16*a^2 + b^2)*cosh(x)^2 + 2*(3*b^2*cosh(x)^2 + 24*a*b*cosh(x) + 16*a^2 + b^2)*sinh(x)^2 - 8*(b*cosh(x)^3 + b*sinh(x)^3 + 4*a*cosh(x)^2 + (3*b*cosh(x) + 4*a)*sinh(x)^2 + b*cosh(x) + (3*b*cosh(x)^2 + 8*a*cosh(x) + b)*sinh(x))*sqrt(b*cosh(x) + a)*sqrt(a) + b^2 + 4*(b^2*cosh(x)^3 + 12*a*b*cosh(x)^2 + 4*a*b + (16*a^2 + b^2)*cosh(x))*sinh(x))/(cosh(x)^4 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 + 2*(3*cosh(x)^2 + 1)*sinh(x)^2 + 2*cosh(x)^2 + 4*(cosh(x)^3 + cosh(x))*sinh(x) + 1)) + 2*sqrt(b*cosh(x) + a), sqrt(-a)*arctan(1/2*(b*cosh(x)^2 + b*sinh(x)^2 + 4*a*cosh(x) + 2*(b*cosh(x) + 2*a)*sinh(x) + b)*sqrt(b*cosh(x) + a)*sqrt(-a)/(a*b*cosh(x)^2 + a*b*sinh(x)^2 + 2*a^2*cosh(x) + a*b + 2*(a*b*cosh(x) + a^2)*sinh(x))) + 2*sqrt(b*cosh(x) + a)]","B",0
198,1,356,0,0.651883," ","integrate(tanh(x)/(a+b*cosh(x))^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{b^{2} \cosh\left(x\right)^{4} + b^{2} \sinh\left(x\right)^{4} + 16 \, a b \cosh\left(x\right)^{3} + 4 \, {\left(b^{2} \cosh\left(x\right) + 4 \, a b\right)} \sinh\left(x\right)^{3} + 16 \, a b \cosh\left(x\right) + 2 \, {\left(16 \, a^{2} + b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, b^{2} \cosh\left(x\right)^{2} + 24 \, a b \cosh\left(x\right) + 16 \, a^{2} + b^{2}\right)} \sinh\left(x\right)^{2} - 8 \, {\left(b \cosh\left(x\right)^{3} + b \sinh\left(x\right)^{3} + 4 \, a \cosh\left(x\right)^{2} + {\left(3 \, b \cosh\left(x\right) + 4 \, a\right)} \sinh\left(x\right)^{2} + b \cosh\left(x\right) + {\left(3 \, b \cosh\left(x\right)^{2} + 8 \, a \cosh\left(x\right) + b\right)} \sinh\left(x\right)\right)} \sqrt{b \cosh\left(x\right) + a} \sqrt{a} + b^{2} + 4 \, {\left(b^{2} \cosh\left(x\right)^{3} + 12 \, a b \cosh\left(x\right)^{2} + 4 \, a b + {\left(16 \, a^{2} + b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{\cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + 2 \, \cosh\left(x\right)^{2} + 4 \, {\left(\cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1}\right)}{2 \, \sqrt{a}}, \frac{\sqrt{-a} \arctan\left(\frac{{\left(b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 4 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + 2 \, a\right)} \sinh\left(x\right) + b\right)} \sqrt{b \cosh\left(x\right) + a} \sqrt{-a}}{2 \, {\left(a b \cosh\left(x\right)^{2} + a b \sinh\left(x\right)^{2} + 2 \, a^{2} \cosh\left(x\right) + a b + 2 \, {\left(a b \cosh\left(x\right) + a^{2}\right)} \sinh\left(x\right)\right)}}\right)}{a}\right]"," ",0,"[1/2*log((b^2*cosh(x)^4 + b^2*sinh(x)^4 + 16*a*b*cosh(x)^3 + 4*(b^2*cosh(x) + 4*a*b)*sinh(x)^3 + 16*a*b*cosh(x) + 2*(16*a^2 + b^2)*cosh(x)^2 + 2*(3*b^2*cosh(x)^2 + 24*a*b*cosh(x) + 16*a^2 + b^2)*sinh(x)^2 - 8*(b*cosh(x)^3 + b*sinh(x)^3 + 4*a*cosh(x)^2 + (3*b*cosh(x) + 4*a)*sinh(x)^2 + b*cosh(x) + (3*b*cosh(x)^2 + 8*a*cosh(x) + b)*sinh(x))*sqrt(b*cosh(x) + a)*sqrt(a) + b^2 + 4*(b^2*cosh(x)^3 + 12*a*b*cosh(x)^2 + 4*a*b + (16*a^2 + b^2)*cosh(x))*sinh(x))/(cosh(x)^4 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 + 2*(3*cosh(x)^2 + 1)*sinh(x)^2 + 2*cosh(x)^2 + 4*(cosh(x)^3 + cosh(x))*sinh(x) + 1))/sqrt(a), sqrt(-a)*arctan(1/2*(b*cosh(x)^2 + b*sinh(x)^2 + 4*a*cosh(x) + 2*(b*cosh(x) + 2*a)*sinh(x) + b)*sqrt(b*cosh(x) + a)*sqrt(-a)/(a*b*cosh(x)^2 + a*b*sinh(x)^2 + 2*a^2*cosh(x) + a*b + 2*(a*b*cosh(x) + a^2)*sinh(x)))/a]","B",0
199,1,291,0,0.548559," ","integrate((A+B*sinh(x))/(a+b*cosh(x)),x, algorithm=""fricas"")","\left[\frac{\sqrt{a^{2} - b^{2}} A b \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b}\right) - {\left(B a^{2} - B b^{2}\right)} x + {\left(B a^{2} - B b^{2}\right)} \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a^{2} b - b^{3}}, -\frac{2 \, \sqrt{-a^{2} + b^{2}} A b \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{a^{2} - b^{2}}\right) + {\left(B a^{2} - B b^{2}\right)} x - {\left(B a^{2} - B b^{2}\right)} \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a^{2} b - b^{3}}\right]"," ",0,"[(sqrt(a^2 - b^2)*A*b*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 - b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 - b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) + b)) - (B*a^2 - B*b^2)*x + (B*a^2 - B*b^2)*log(2*(b*cosh(x) + a)/(cosh(x) - sinh(x))))/(a^2*b - b^3), -(2*sqrt(-a^2 + b^2)*A*b*arctan(-sqrt(-a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a)/(a^2 - b^2)) + (B*a^2 - B*b^2)*x - (B*a^2 - B*b^2)*log(2*(b*cosh(x) + a)/(cosh(x) - sinh(x))))/(a^2*b - b^3)]","B",0
200,1,46,0,0.486230," ","integrate((A+B*sinh(x))/(1+cosh(x)),x, algorithm=""fricas"")","-\frac{B x \cosh\left(x\right) + B x \sinh\left(x\right) + B x - 2 \, {\left(B \cosh\left(x\right) + B \sinh\left(x\right) + B\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + 2 \, A}{\cosh\left(x\right) + \sinh\left(x\right) + 1}"," ",0,"-(B*x*cosh(x) + B*x*sinh(x) + B*x - 2*(B*cosh(x) + B*sinh(x) + B)*log(cosh(x) + sinh(x) + 1) + 2*A)/(cosh(x) + sinh(x) + 1)","B",0
201,1,48,0,0.483106," ","integrate((A+B*sinh(x))/(1-cosh(x)),x, algorithm=""fricas"")","\frac{B x \cosh\left(x\right) + B x \sinh\left(x\right) - B x - 2 \, {\left(B \cosh\left(x\right) + B \sinh\left(x\right) - B\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 2 \, A}{\cosh\left(x\right) + \sinh\left(x\right) - 1}"," ",0,"(B*x*cosh(x) + B*x*sinh(x) - B*x - 2*(B*cosh(x) + B*sinh(x) - B)*log(cosh(x) + sinh(x) - 1) + 2*A)/(cosh(x) + sinh(x) - 1)","B",0
202,1,315,0,0.580783," ","integrate((A+B*tanh(x))/(a+b*cosh(x)),x, algorithm=""fricas"")","\left[\frac{\sqrt{a^{2} - b^{2}} A a \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b}\right) - {\left(B a^{2} - B b^{2}\right)} \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + {\left(B a^{2} - B b^{2}\right)} \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a^{3} - a b^{2}}, -\frac{2 \, \sqrt{-a^{2} + b^{2}} A a \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{a^{2} - b^{2}}\right) + {\left(B a^{2} - B b^{2}\right)} \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - {\left(B a^{2} - B b^{2}\right)} \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a^{3} - a b^{2}}\right]"," ",0,"[(sqrt(a^2 - b^2)*A*a*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 - b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 - b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) + b)) - (B*a^2 - B*b^2)*log(2*(b*cosh(x) + a)/(cosh(x) - sinh(x))) + (B*a^2 - B*b^2)*log(2*cosh(x)/(cosh(x) - sinh(x))))/(a^3 - a*b^2), -(2*sqrt(-a^2 + b^2)*A*a*arctan(-sqrt(-a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a)/(a^2 - b^2)) + (B*a^2 - B*b^2)*log(2*(b*cosh(x) + a)/(cosh(x) - sinh(x))) - (B*a^2 - B*b^2)*log(2*cosh(x)/(cosh(x) - sinh(x))))/(a^3 - a*b^2)]","B",0
203,1,303,0,2.754303," ","integrate((A+B*coth(x))/(a+b*cosh(x)),x, algorithm=""fricas"")","\left[-\frac{B a \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - \sqrt{a^{2} - b^{2}} A \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b}\right) - {\left(B a + B b\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - {\left(B a - B b\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right)}{a^{2} - b^{2}}, -\frac{B a \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 2 \, \sqrt{-a^{2} + b^{2}} A \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{a^{2} - b^{2}}\right) - {\left(B a + B b\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - {\left(B a - B b\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right)}{a^{2} - b^{2}}\right]"," ",0,"[-(B*a*log(2*(b*cosh(x) + a)/(cosh(x) - sinh(x))) - sqrt(a^2 - b^2)*A*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 - b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 - b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) + b)) - (B*a + B*b)*log(cosh(x) + sinh(x) + 1) - (B*a - B*b)*log(cosh(x) + sinh(x) - 1))/(a^2 - b^2), -(B*a*log(2*(b*cosh(x) + a)/(cosh(x) - sinh(x))) + 2*sqrt(-a^2 + b^2)*A*arctan(-sqrt(-a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a)/(a^2 - b^2)) - (B*a + B*b)*log(cosh(x) + sinh(x) + 1) - (B*a - B*b)*log(cosh(x) + sinh(x) - 1))/(a^2 - b^2)]","A",0
204,1,249,0,0.983532," ","integrate((A+B*sech(x))/(a+b*cosh(x)),x, algorithm=""fricas"")","\left[-\frac{{\left(A a - B b\right)} \sqrt{a^{2} - b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b}\right) - 2 \, {\left(B a^{2} - B b^{2}\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}{a^{3} - a b^{2}}, -\frac{2 \, {\left({\left(A a - B b\right)} \sqrt{-a^{2} + b^{2}} \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{a^{2} - b^{2}}\right) - {\left(B a^{2} - B b^{2}\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right)\right)}}{a^{3} - a b^{2}}\right]"," ",0,"[-((A*a - B*b)*sqrt(a^2 - b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 - b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 - b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) + b)) - 2*(B*a^2 - B*b^2)*arctan(cosh(x) + sinh(x)))/(a^3 - a*b^2), -2*((A*a - B*b)*sqrt(-a^2 + b^2)*arctan(-sqrt(-a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a)/(a^2 - b^2)) - (B*a^2 - B*b^2)*arctan(cosh(x) + sinh(x)))/(a^3 - a*b^2)]","A",0
205,1,298,0,3.246137," ","integrate((A+B*csch(x))/(a+b*cosh(x)),x, algorithm=""fricas"")","\left[\frac{B b \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + \sqrt{a^{2} - b^{2}} A \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b}\right) - {\left(B a + B b\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + {\left(B a - B b\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right)}{a^{2} - b^{2}}, \frac{B b \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - 2 \, \sqrt{-a^{2} + b^{2}} A \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{a^{2} - b^{2}}\right) - {\left(B a + B b\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + {\left(B a - B b\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right)}{a^{2} - b^{2}}\right]"," ",0,"[(B*b*log(2*(b*cosh(x) + a)/(cosh(x) - sinh(x))) + sqrt(a^2 - b^2)*A*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 - b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 - b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) + b)) - (B*a + B*b)*log(cosh(x) + sinh(x) + 1) + (B*a - B*b)*log(cosh(x) + sinh(x) - 1))/(a^2 - b^2), (B*b*log(2*(b*cosh(x) + a)/(cosh(x) - sinh(x))) - 2*sqrt(-a^2 + b^2)*A*arctan(-sqrt(-a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a)/(a^2 - b^2)) - (B*a + B*b)*log(cosh(x) + sinh(x) + 1) + (B*a - B*b)*log(cosh(x) + sinh(x) - 1))/(a^2 - b^2)]","A",0
206,1,405,0,0.474451," ","integrate((A+B*cosh(e*x+d)+C*sinh(e*x+d))/(a+b*cosh(e*x+d)),x, algorithm=""fricas"")","\left[\frac{{\left({\left(B - C\right)} a^{2} - {\left(B - C\right)} b^{2}\right)} e x - {\left(B a - A b\right)} \sqrt{a^{2} - b^{2}} \log\left(\frac{b^{2} \cosh\left(e x + d\right)^{2} + b^{2} \sinh\left(e x + d\right)^{2} + 2 \, a b \cosh\left(e x + d\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(e x + d\right) + a b\right)} \sinh\left(e x + d\right) - 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(e x + d\right) + b \sinh\left(e x + d\right) + a\right)}}{b \cosh\left(e x + d\right)^{2} + b \sinh\left(e x + d\right)^{2} + 2 \, a \cosh\left(e x + d\right) + 2 \, {\left(b \cosh\left(e x + d\right) + a\right)} \sinh\left(e x + d\right) + b}\right) + {\left(C a^{2} - C b^{2}\right)} \log\left(\frac{2 \, {\left(b \cosh\left(e x + d\right) + a\right)}}{\cosh\left(e x + d\right) - \sinh\left(e x + d\right)}\right)}{{\left(a^{2} b - b^{3}\right)} e}, \frac{{\left({\left(B - C\right)} a^{2} - {\left(B - C\right)} b^{2}\right)} e x + 2 \, {\left(B a - A b\right)} \sqrt{-a^{2} + b^{2}} \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(e x + d\right) + b \sinh\left(e x + d\right) + a\right)}}{a^{2} - b^{2}}\right) + {\left(C a^{2} - C b^{2}\right)} \log\left(\frac{2 \, {\left(b \cosh\left(e x + d\right) + a\right)}}{\cosh\left(e x + d\right) - \sinh\left(e x + d\right)}\right)}{{\left(a^{2} b - b^{3}\right)} e}\right]"," ",0,"[(((B - C)*a^2 - (B - C)*b^2)*e*x - (B*a - A*b)*sqrt(a^2 - b^2)*log((b^2*cosh(e*x + d)^2 + b^2*sinh(e*x + d)^2 + 2*a*b*cosh(e*x + d) + 2*a^2 - b^2 + 2*(b^2*cosh(e*x + d) + a*b)*sinh(e*x + d) - 2*sqrt(a^2 - b^2)*(b*cosh(e*x + d) + b*sinh(e*x + d) + a))/(b*cosh(e*x + d)^2 + b*sinh(e*x + d)^2 + 2*a*cosh(e*x + d) + 2*(b*cosh(e*x + d) + a)*sinh(e*x + d) + b)) + (C*a^2 - C*b^2)*log(2*(b*cosh(e*x + d) + a)/(cosh(e*x + d) - sinh(e*x + d))))/((a^2*b - b^3)*e), (((B - C)*a^2 - (B - C)*b^2)*e*x + 2*(B*a - A*b)*sqrt(-a^2 + b^2)*arctan(-sqrt(-a^2 + b^2)*(b*cosh(e*x + d) + b*sinh(e*x + d) + a)/(a^2 - b^2)) + (C*a^2 - C*b^2)*log(2*(b*cosh(e*x + d) + a)/(cosh(e*x + d) - sinh(e*x + d))))/((a^2*b - b^3)*e)]","A",0
207,1,1044,0,0.754315," ","integrate((A+B*cosh(e*x+d)+C*sinh(e*x+d))/(a+b*cosh(e*x+d))^2,x, algorithm=""fricas"")","\left[-\frac{2 \, B a^{3} b - 2 \, A a^{2} b^{2} - 2 \, B a b^{3} + 2 \, A b^{4} - {\left(A a b^{2} - B b^{3} + {\left(A a b^{2} - B b^{3}\right)} \cosh\left(e x + d\right)^{2} + {\left(A a b^{2} - B b^{3}\right)} \sinh\left(e x + d\right)^{2} + 2 \, {\left(A a^{2} b - B a b^{2}\right)} \cosh\left(e x + d\right) + 2 \, {\left(A a^{2} b - B a b^{2} + {\left(A a b^{2} - B b^{3}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)\right)} \sqrt{a^{2} - b^{2}} \log\left(\frac{b^{2} \cosh\left(e x + d\right)^{2} + b^{2} \sinh\left(e x + d\right)^{2} + 2 \, a b \cosh\left(e x + d\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(e x + d\right) + a b\right)} \sinh\left(e x + d\right) - 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(e x + d\right) + b \sinh\left(e x + d\right) + a\right)}}{b \cosh\left(e x + d\right)^{2} + b \sinh\left(e x + d\right)^{2} + 2 \, a \cosh\left(e x + d\right) + 2 \, {\left(b \cosh\left(e x + d\right) + a\right)} \sinh\left(e x + d\right) + b}\right) + 2 \, {\left({\left(B + C\right)} a^{4} - A a^{3} b - {\left(B + 2 \, C\right)} a^{2} b^{2} + A a b^{3} + C b^{4}\right)} \cosh\left(e x + d\right) + 2 \, {\left({\left(B + C\right)} a^{4} - A a^{3} b - {\left(B + 2 \, C\right)} a^{2} b^{2} + A a b^{3} + C b^{4}\right)} \sinh\left(e x + d\right)}{{\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} e \cosh\left(e x + d\right)^{2} + {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} e \sinh\left(e x + d\right)^{2} + 2 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} e \cosh\left(e x + d\right) + {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} e + 2 \, {\left({\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} e \cosh\left(e x + d\right) + {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} e\right)} \sinh\left(e x + d\right)}, -\frac{2 \, {\left(B a^{3} b - A a^{2} b^{2} - B a b^{3} + A b^{4} + {\left(A a b^{2} - B b^{3} + {\left(A a b^{2} - B b^{3}\right)} \cosh\left(e x + d\right)^{2} + {\left(A a b^{2} - B b^{3}\right)} \sinh\left(e x + d\right)^{2} + 2 \, {\left(A a^{2} b - B a b^{2}\right)} \cosh\left(e x + d\right) + 2 \, {\left(A a^{2} b - B a b^{2} + {\left(A a b^{2} - B b^{3}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)\right)} \sqrt{-a^{2} + b^{2}} \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(e x + d\right) + b \sinh\left(e x + d\right) + a\right)}}{a^{2} - b^{2}}\right) + {\left({\left(B + C\right)} a^{4} - A a^{3} b - {\left(B + 2 \, C\right)} a^{2} b^{2} + A a b^{3} + C b^{4}\right)} \cosh\left(e x + d\right) + {\left({\left(B + C\right)} a^{4} - A a^{3} b - {\left(B + 2 \, C\right)} a^{2} b^{2} + A a b^{3} + C b^{4}\right)} \sinh\left(e x + d\right)\right)}}{{\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} e \cosh\left(e x + d\right)^{2} + {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} e \sinh\left(e x + d\right)^{2} + 2 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} e \cosh\left(e x + d\right) + {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} e + 2 \, {\left({\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} e \cosh\left(e x + d\right) + {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} e\right)} \sinh\left(e x + d\right)}\right]"," ",0,"[-(2*B*a^3*b - 2*A*a^2*b^2 - 2*B*a*b^3 + 2*A*b^4 - (A*a*b^2 - B*b^3 + (A*a*b^2 - B*b^3)*cosh(e*x + d)^2 + (A*a*b^2 - B*b^3)*sinh(e*x + d)^2 + 2*(A*a^2*b - B*a*b^2)*cosh(e*x + d) + 2*(A*a^2*b - B*a*b^2 + (A*a*b^2 - B*b^3)*cosh(e*x + d))*sinh(e*x + d))*sqrt(a^2 - b^2)*log((b^2*cosh(e*x + d)^2 + b^2*sinh(e*x + d)^2 + 2*a*b*cosh(e*x + d) + 2*a^2 - b^2 + 2*(b^2*cosh(e*x + d) + a*b)*sinh(e*x + d) - 2*sqrt(a^2 - b^2)*(b*cosh(e*x + d) + b*sinh(e*x + d) + a))/(b*cosh(e*x + d)^2 + b*sinh(e*x + d)^2 + 2*a*cosh(e*x + d) + 2*(b*cosh(e*x + d) + a)*sinh(e*x + d) + b)) + 2*((B + C)*a^4 - A*a^3*b - (B + 2*C)*a^2*b^2 + A*a*b^3 + C*b^4)*cosh(e*x + d) + 2*((B + C)*a^4 - A*a^3*b - (B + 2*C)*a^2*b^2 + A*a*b^3 + C*b^4)*sinh(e*x + d))/((a^4*b^2 - 2*a^2*b^4 + b^6)*e*cosh(e*x + d)^2 + (a^4*b^2 - 2*a^2*b^4 + b^6)*e*sinh(e*x + d)^2 + 2*(a^5*b - 2*a^3*b^3 + a*b^5)*e*cosh(e*x + d) + (a^4*b^2 - 2*a^2*b^4 + b^6)*e + 2*((a^4*b^2 - 2*a^2*b^4 + b^6)*e*cosh(e*x + d) + (a^5*b - 2*a^3*b^3 + a*b^5)*e)*sinh(e*x + d)), -2*(B*a^3*b - A*a^2*b^2 - B*a*b^3 + A*b^4 + (A*a*b^2 - B*b^3 + (A*a*b^2 - B*b^3)*cosh(e*x + d)^2 + (A*a*b^2 - B*b^3)*sinh(e*x + d)^2 + 2*(A*a^2*b - B*a*b^2)*cosh(e*x + d) + 2*(A*a^2*b - B*a*b^2 + (A*a*b^2 - B*b^3)*cosh(e*x + d))*sinh(e*x + d))*sqrt(-a^2 + b^2)*arctan(-sqrt(-a^2 + b^2)*(b*cosh(e*x + d) + b*sinh(e*x + d) + a)/(a^2 - b^2)) + ((B + C)*a^4 - A*a^3*b - (B + 2*C)*a^2*b^2 + A*a*b^3 + C*b^4)*cosh(e*x + d) + ((B + C)*a^4 - A*a^3*b - (B + 2*C)*a^2*b^2 + A*a*b^3 + C*b^4)*sinh(e*x + d))/((a^4*b^2 - 2*a^2*b^4 + b^6)*e*cosh(e*x + d)^2 + (a^4*b^2 - 2*a^2*b^4 + b^6)*e*sinh(e*x + d)^2 + 2*(a^5*b - 2*a^3*b^3 + a*b^5)*e*cosh(e*x + d) + (a^4*b^2 - 2*a^2*b^4 + b^6)*e + 2*((a^4*b^2 - 2*a^2*b^4 + b^6)*e*cosh(e*x + d) + (a^5*b - 2*a^3*b^3 + a*b^5)*e)*sinh(e*x + d))]","B",0
208,1,3636,0,0.658443," ","integrate((A+B*cosh(e*x+d)+C*sinh(e*x+d))/(a+b*cosh(e*x+d))^3,x, algorithm=""fricas"")","\left[-\frac{2 \, B a^{4} b^{2} - 6 \, A a^{3} b^{3} + 2 \, B a^{2} b^{4} + 6 \, A a b^{5} - 4 \, B b^{6} - 2 \, {\left(2 \, A a^{4} b^{2} - 3 \, B a^{3} b^{3} - A a^{2} b^{4} + 3 \, B a b^{5} - A b^{6}\right)} \cosh\left(e x + d\right)^{3} - 2 \, {\left(2 \, A a^{4} b^{2} - 3 \, B a^{3} b^{3} - A a^{2} b^{4} + 3 \, B a b^{5} - A b^{6}\right)} \sinh\left(e x + d\right)^{3} + 2 \, {\left(2 \, {\left(B + C\right)} a^{6} - 6 \, A a^{5} b + 3 \, {\left(B - 2 \, C\right)} a^{4} b^{2} + 3 \, A a^{3} b^{3} - 3 \, {\left(B - 2 \, C\right)} a^{2} b^{4} + 3 \, A a b^{5} - 2 \, {\left(B + C\right)} b^{6}\right)} \cosh\left(e x + d\right)^{2} + 2 \, {\left(2 \, {\left(B + C\right)} a^{6} - 6 \, A a^{5} b + 3 \, {\left(B - 2 \, C\right)} a^{4} b^{2} + 3 \, A a^{3} b^{3} - 3 \, {\left(B - 2 \, C\right)} a^{2} b^{4} + 3 \, A a b^{5} - 2 \, {\left(B + C\right)} b^{6} - 3 \, {\left(2 \, A a^{4} b^{2} - 3 \, B a^{3} b^{3} - A a^{2} b^{4} + 3 \, B a b^{5} - A b^{6}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)^{2} - {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5} + {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5}\right)} \cosh\left(e x + d\right)^{4} + {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5}\right)} \sinh\left(e x + d\right)^{4} + 4 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4}\right)} \cosh\left(e x + d\right)^{3} + 4 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4} + {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)^{3} + 2 \, {\left(4 \, A a^{4} b - 6 \, B a^{3} b^{2} + 4 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5}\right)} \cosh\left(e x + d\right)^{2} + 2 \, {\left(4 \, A a^{4} b - 6 \, B a^{3} b^{2} + 4 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5} + 3 \, {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5}\right)} \cosh\left(e x + d\right)^{2} + 6 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)^{2} + 4 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4}\right)} \cosh\left(e x + d\right) + 4 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4} + {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5}\right)} \cosh\left(e x + d\right)^{3} + 3 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4}\right)} \cosh\left(e x + d\right)^{2} + {\left(4 \, A a^{4} b - 6 \, B a^{3} b^{2} + 4 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)\right)} \sqrt{a^{2} - b^{2}} \log\left(\frac{b^{2} \cosh\left(e x + d\right)^{2} + b^{2} \sinh\left(e x + d\right)^{2} + 2 \, a b \cosh\left(e x + d\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(e x + d\right) + a b\right)} \sinh\left(e x + d\right) - 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(e x + d\right) + b \sinh\left(e x + d\right) + a\right)}}{b \cosh\left(e x + d\right)^{2} + b \sinh\left(e x + d\right)^{2} + 2 \, a \cosh\left(e x + d\right) + 2 \, {\left(b \cosh\left(e x + d\right) + a\right)} \sinh\left(e x + d\right) + b}\right) + 2 \, {\left(4 \, B a^{5} b - 10 \, A a^{4} b^{2} + B a^{3} b^{3} + 11 \, A a^{2} b^{4} - 5 \, B a b^{5} - A b^{6}\right)} \cosh\left(e x + d\right) + 2 \, {\left(4 \, B a^{5} b - 10 \, A a^{4} b^{2} + B a^{3} b^{3} + 11 \, A a^{2} b^{4} - 5 \, B a b^{5} - A b^{6} - 3 \, {\left(2 \, A a^{4} b^{2} - 3 \, B a^{3} b^{3} - A a^{2} b^{4} + 3 \, B a b^{5} - A b^{6}\right)} \cosh\left(e x + d\right)^{2} + 2 \, {\left(2 \, {\left(B + C\right)} a^{6} - 6 \, A a^{5} b + 3 \, {\left(B - 2 \, C\right)} a^{4} b^{2} + 3 \, A a^{3} b^{3} - 3 \, {\left(B - 2 \, C\right)} a^{2} b^{4} + 3 \, A a b^{5} - 2 \, {\left(B + C\right)} b^{6}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)}{2 \, {\left({\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9}\right)} e \cosh\left(e x + d\right)^{4} + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9}\right)} e \sinh\left(e x + d\right)^{4} + 4 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8}\right)} e \cosh\left(e x + d\right)^{3} + 2 \, {\left(2 \, a^{8} b - 5 \, a^{6} b^{3} + 3 \, a^{4} b^{5} + a^{2} b^{7} - b^{9}\right)} e \cosh\left(e x + d\right)^{2} + 4 \, {\left({\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9}\right)} e \cosh\left(e x + d\right) + {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8}\right)} e\right)} \sinh\left(e x + d\right)^{3} + 4 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8}\right)} e \cosh\left(e x + d\right) + 2 \, {\left(3 \, {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9}\right)} e \cosh\left(e x + d\right)^{2} + 6 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8}\right)} e \cosh\left(e x + d\right) + {\left(2 \, a^{8} b - 5 \, a^{6} b^{3} + 3 \, a^{4} b^{5} + a^{2} b^{7} - b^{9}\right)} e\right)} \sinh\left(e x + d\right)^{2} + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9}\right)} e + 4 \, {\left({\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9}\right)} e \cosh\left(e x + d\right)^{3} + 3 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8}\right)} e \cosh\left(e x + d\right)^{2} + {\left(2 \, a^{8} b - 5 \, a^{6} b^{3} + 3 \, a^{4} b^{5} + a^{2} b^{7} - b^{9}\right)} e \cosh\left(e x + d\right) + {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8}\right)} e\right)} \sinh\left(e x + d\right)\right)}}, -\frac{B a^{4} b^{2} - 3 \, A a^{3} b^{3} + B a^{2} b^{4} + 3 \, A a b^{5} - 2 \, B b^{6} - {\left(2 \, A a^{4} b^{2} - 3 \, B a^{3} b^{3} - A a^{2} b^{4} + 3 \, B a b^{5} - A b^{6}\right)} \cosh\left(e x + d\right)^{3} - {\left(2 \, A a^{4} b^{2} - 3 \, B a^{3} b^{3} - A a^{2} b^{4} + 3 \, B a b^{5} - A b^{6}\right)} \sinh\left(e x + d\right)^{3} + {\left(2 \, {\left(B + C\right)} a^{6} - 6 \, A a^{5} b + 3 \, {\left(B - 2 \, C\right)} a^{4} b^{2} + 3 \, A a^{3} b^{3} - 3 \, {\left(B - 2 \, C\right)} a^{2} b^{4} + 3 \, A a b^{5} - 2 \, {\left(B + C\right)} b^{6}\right)} \cosh\left(e x + d\right)^{2} + {\left(2 \, {\left(B + C\right)} a^{6} - 6 \, A a^{5} b + 3 \, {\left(B - 2 \, C\right)} a^{4} b^{2} + 3 \, A a^{3} b^{3} - 3 \, {\left(B - 2 \, C\right)} a^{2} b^{4} + 3 \, A a b^{5} - 2 \, {\left(B + C\right)} b^{6} - 3 \, {\left(2 \, A a^{4} b^{2} - 3 \, B a^{3} b^{3} - A a^{2} b^{4} + 3 \, B a b^{5} - A b^{6}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)^{2} + {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5} + {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5}\right)} \cosh\left(e x + d\right)^{4} + {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5}\right)} \sinh\left(e x + d\right)^{4} + 4 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4}\right)} \cosh\left(e x + d\right)^{3} + 4 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4} + {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)^{3} + 2 \, {\left(4 \, A a^{4} b - 6 \, B a^{3} b^{2} + 4 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5}\right)} \cosh\left(e x + d\right)^{2} + 2 \, {\left(4 \, A a^{4} b - 6 \, B a^{3} b^{2} + 4 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5} + 3 \, {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5}\right)} \cosh\left(e x + d\right)^{2} + 6 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)^{2} + 4 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4}\right)} \cosh\left(e x + d\right) + 4 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4} + {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5}\right)} \cosh\left(e x + d\right)^{3} + 3 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4}\right)} \cosh\left(e x + d\right)^{2} + {\left(4 \, A a^{4} b - 6 \, B a^{3} b^{2} + 4 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)\right)} \sqrt{-a^{2} + b^{2}} \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(e x + d\right) + b \sinh\left(e x + d\right) + a\right)}}{a^{2} - b^{2}}\right) + {\left(4 \, B a^{5} b - 10 \, A a^{4} b^{2} + B a^{3} b^{3} + 11 \, A a^{2} b^{4} - 5 \, B a b^{5} - A b^{6}\right)} \cosh\left(e x + d\right) + {\left(4 \, B a^{5} b - 10 \, A a^{4} b^{2} + B a^{3} b^{3} + 11 \, A a^{2} b^{4} - 5 \, B a b^{5} - A b^{6} - 3 \, {\left(2 \, A a^{4} b^{2} - 3 \, B a^{3} b^{3} - A a^{2} b^{4} + 3 \, B a b^{5} - A b^{6}\right)} \cosh\left(e x + d\right)^{2} + 2 \, {\left(2 \, {\left(B + C\right)} a^{6} - 6 \, A a^{5} b + 3 \, {\left(B - 2 \, C\right)} a^{4} b^{2} + 3 \, A a^{3} b^{3} - 3 \, {\left(B - 2 \, C\right)} a^{2} b^{4} + 3 \, A a b^{5} - 2 \, {\left(B + C\right)} b^{6}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)}{{\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9}\right)} e \cosh\left(e x + d\right)^{4} + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9}\right)} e \sinh\left(e x + d\right)^{4} + 4 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8}\right)} e \cosh\left(e x + d\right)^{3} + 2 \, {\left(2 \, a^{8} b - 5 \, a^{6} b^{3} + 3 \, a^{4} b^{5} + a^{2} b^{7} - b^{9}\right)} e \cosh\left(e x + d\right)^{2} + 4 \, {\left({\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9}\right)} e \cosh\left(e x + d\right) + {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8}\right)} e\right)} \sinh\left(e x + d\right)^{3} + 4 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8}\right)} e \cosh\left(e x + d\right) + 2 \, {\left(3 \, {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9}\right)} e \cosh\left(e x + d\right)^{2} + 6 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8}\right)} e \cosh\left(e x + d\right) + {\left(2 \, a^{8} b - 5 \, a^{6} b^{3} + 3 \, a^{4} b^{5} + a^{2} b^{7} - b^{9}\right)} e\right)} \sinh\left(e x + d\right)^{2} + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9}\right)} e + 4 \, {\left({\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9}\right)} e \cosh\left(e x + d\right)^{3} + 3 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8}\right)} e \cosh\left(e x + d\right)^{2} + {\left(2 \, a^{8} b - 5 \, a^{6} b^{3} + 3 \, a^{4} b^{5} + a^{2} b^{7} - b^{9}\right)} e \cosh\left(e x + d\right) + {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8}\right)} e\right)} \sinh\left(e x + d\right)}\right]"," ",0,"[-1/2*(2*B*a^4*b^2 - 6*A*a^3*b^3 + 2*B*a^2*b^4 + 6*A*a*b^5 - 4*B*b^6 - 2*(2*A*a^4*b^2 - 3*B*a^3*b^3 - A*a^2*b^4 + 3*B*a*b^5 - A*b^6)*cosh(e*x + d)^3 - 2*(2*A*a^4*b^2 - 3*B*a^3*b^3 - A*a^2*b^4 + 3*B*a*b^5 - A*b^6)*sinh(e*x + d)^3 + 2*(2*(B + C)*a^6 - 6*A*a^5*b + 3*(B - 2*C)*a^4*b^2 + 3*A*a^3*b^3 - 3*(B - 2*C)*a^2*b^4 + 3*A*a*b^5 - 2*(B + C)*b^6)*cosh(e*x + d)^2 + 2*(2*(B + C)*a^6 - 6*A*a^5*b + 3*(B - 2*C)*a^4*b^2 + 3*A*a^3*b^3 - 3*(B - 2*C)*a^2*b^4 + 3*A*a*b^5 - 2*(B + C)*b^6 - 3*(2*A*a^4*b^2 - 3*B*a^3*b^3 - A*a^2*b^4 + 3*B*a*b^5 - A*b^6)*cosh(e*x + d))*sinh(e*x + d)^2 - (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5 + (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5)*cosh(e*x + d)^4 + (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5)*sinh(e*x + d)^4 + 4*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4)*cosh(e*x + d)^3 + 4*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4 + (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5)*cosh(e*x + d))*sinh(e*x + d)^3 + 2*(4*A*a^4*b - 6*B*a^3*b^2 + 4*A*a^2*b^3 - 3*B*a*b^4 + A*b^5)*cosh(e*x + d)^2 + 2*(4*A*a^4*b - 6*B*a^3*b^2 + 4*A*a^2*b^3 - 3*B*a*b^4 + A*b^5 + 3*(2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5)*cosh(e*x + d)^2 + 6*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4)*cosh(e*x + d))*sinh(e*x + d)^2 + 4*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4)*cosh(e*x + d) + 4*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4 + (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5)*cosh(e*x + d)^3 + 3*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4)*cosh(e*x + d)^2 + (4*A*a^4*b - 6*B*a^3*b^2 + 4*A*a^2*b^3 - 3*B*a*b^4 + A*b^5)*cosh(e*x + d))*sinh(e*x + d))*sqrt(a^2 - b^2)*log((b^2*cosh(e*x + d)^2 + b^2*sinh(e*x + d)^2 + 2*a*b*cosh(e*x + d) + 2*a^2 - b^2 + 2*(b^2*cosh(e*x + d) + a*b)*sinh(e*x + d) - 2*sqrt(a^2 - b^2)*(b*cosh(e*x + d) + b*sinh(e*x + d) + a))/(b*cosh(e*x + d)^2 + b*sinh(e*x + d)^2 + 2*a*cosh(e*x + d) + 2*(b*cosh(e*x + d) + a)*sinh(e*x + d) + b)) + 2*(4*B*a^5*b - 10*A*a^4*b^2 + B*a^3*b^3 + 11*A*a^2*b^4 - 5*B*a*b^5 - A*b^6)*cosh(e*x + d) + 2*(4*B*a^5*b - 10*A*a^4*b^2 + B*a^3*b^3 + 11*A*a^2*b^4 - 5*B*a*b^5 - A*b^6 - 3*(2*A*a^4*b^2 - 3*B*a^3*b^3 - A*a^2*b^4 + 3*B*a*b^5 - A*b^6)*cosh(e*x + d)^2 + 2*(2*(B + C)*a^6 - 6*A*a^5*b + 3*(B - 2*C)*a^4*b^2 + 3*A*a^3*b^3 - 3*(B - 2*C)*a^2*b^4 + 3*A*a*b^5 - 2*(B + C)*b^6)*cosh(e*x + d))*sinh(e*x + d))/((a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9)*e*cosh(e*x + d)^4 + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9)*e*sinh(e*x + d)^4 + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8)*e*cosh(e*x + d)^3 + 2*(2*a^8*b - 5*a^6*b^3 + 3*a^4*b^5 + a^2*b^7 - b^9)*e*cosh(e*x + d)^2 + 4*((a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9)*e*cosh(e*x + d) + (a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8)*e)*sinh(e*x + d)^3 + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8)*e*cosh(e*x + d) + 2*(3*(a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9)*e*cosh(e*x + d)^2 + 6*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8)*e*cosh(e*x + d) + (2*a^8*b - 5*a^6*b^3 + 3*a^4*b^5 + a^2*b^7 - b^9)*e)*sinh(e*x + d)^2 + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9)*e + 4*((a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9)*e*cosh(e*x + d)^3 + 3*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8)*e*cosh(e*x + d)^2 + (2*a^8*b - 5*a^6*b^3 + 3*a^4*b^5 + a^2*b^7 - b^9)*e*cosh(e*x + d) + (a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8)*e)*sinh(e*x + d)), -(B*a^4*b^2 - 3*A*a^3*b^3 + B*a^2*b^4 + 3*A*a*b^5 - 2*B*b^6 - (2*A*a^4*b^2 - 3*B*a^3*b^3 - A*a^2*b^4 + 3*B*a*b^5 - A*b^6)*cosh(e*x + d)^3 - (2*A*a^4*b^2 - 3*B*a^3*b^3 - A*a^2*b^4 + 3*B*a*b^5 - A*b^6)*sinh(e*x + d)^3 + (2*(B + C)*a^6 - 6*A*a^5*b + 3*(B - 2*C)*a^4*b^2 + 3*A*a^3*b^3 - 3*(B - 2*C)*a^2*b^4 + 3*A*a*b^5 - 2*(B + C)*b^6)*cosh(e*x + d)^2 + (2*(B + C)*a^6 - 6*A*a^5*b + 3*(B - 2*C)*a^4*b^2 + 3*A*a^3*b^3 - 3*(B - 2*C)*a^2*b^4 + 3*A*a*b^5 - 2*(B + C)*b^6 - 3*(2*A*a^4*b^2 - 3*B*a^3*b^3 - A*a^2*b^4 + 3*B*a*b^5 - A*b^6)*cosh(e*x + d))*sinh(e*x + d)^2 + (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5 + (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5)*cosh(e*x + d)^4 + (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5)*sinh(e*x + d)^4 + 4*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4)*cosh(e*x + d)^3 + 4*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4 + (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5)*cosh(e*x + d))*sinh(e*x + d)^3 + 2*(4*A*a^4*b - 6*B*a^3*b^2 + 4*A*a^2*b^3 - 3*B*a*b^4 + A*b^5)*cosh(e*x + d)^2 + 2*(4*A*a^4*b - 6*B*a^3*b^2 + 4*A*a^2*b^3 - 3*B*a*b^4 + A*b^5 + 3*(2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5)*cosh(e*x + d)^2 + 6*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4)*cosh(e*x + d))*sinh(e*x + d)^2 + 4*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4)*cosh(e*x + d) + 4*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4 + (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5)*cosh(e*x + d)^3 + 3*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4)*cosh(e*x + d)^2 + (4*A*a^4*b - 6*B*a^3*b^2 + 4*A*a^2*b^3 - 3*B*a*b^4 + A*b^5)*cosh(e*x + d))*sinh(e*x + d))*sqrt(-a^2 + b^2)*arctan(-sqrt(-a^2 + b^2)*(b*cosh(e*x + d) + b*sinh(e*x + d) + a)/(a^2 - b^2)) + (4*B*a^5*b - 10*A*a^4*b^2 + B*a^3*b^3 + 11*A*a^2*b^4 - 5*B*a*b^5 - A*b^6)*cosh(e*x + d) + (4*B*a^5*b - 10*A*a^4*b^2 + B*a^3*b^3 + 11*A*a^2*b^4 - 5*B*a*b^5 - A*b^6 - 3*(2*A*a^4*b^2 - 3*B*a^3*b^3 - A*a^2*b^4 + 3*B*a*b^5 - A*b^6)*cosh(e*x + d)^2 + 2*(2*(B + C)*a^6 - 6*A*a^5*b + 3*(B - 2*C)*a^4*b^2 + 3*A*a^3*b^3 - 3*(B - 2*C)*a^2*b^4 + 3*A*a*b^5 - 2*(B + C)*b^6)*cosh(e*x + d))*sinh(e*x + d))/((a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9)*e*cosh(e*x + d)^4 + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9)*e*sinh(e*x + d)^4 + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8)*e*cosh(e*x + d)^3 + 2*(2*a^8*b - 5*a^6*b^3 + 3*a^4*b^5 + a^2*b^7 - b^9)*e*cosh(e*x + d)^2 + 4*((a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9)*e*cosh(e*x + d) + (a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8)*e)*sinh(e*x + d)^3 + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8)*e*cosh(e*x + d) + 2*(3*(a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9)*e*cosh(e*x + d)^2 + 6*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8)*e*cosh(e*x + d) + (2*a^8*b - 5*a^6*b^3 + 3*a^4*b^5 + a^2*b^7 - b^9)*e)*sinh(e*x + d)^2 + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9)*e + 4*((a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9)*e*cosh(e*x + d)^3 + 3*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8)*e*cosh(e*x + d)^2 + (2*a^8*b - 5*a^6*b^3 + 3*a^4*b^5 + a^2*b^7 - b^9)*e*cosh(e*x + d) + (a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8)*e)*sinh(e*x + d))]","B",0
209,1,8531,0,0.689715," ","integrate((A+B*cosh(e*x+d)+C*sinh(e*x+d))/(a+b*cosh(e*x+d))^4,x, algorithm=""fricas"")","\left[-\frac{4 \, B a^{5} b^{3} - 22 \, A a^{4} b^{4} + 22 \, B a^{3} b^{5} + 14 \, A a^{2} b^{6} - 26 \, B a b^{7} + 8 \, A b^{8} - 6 \, {\left(2 \, A a^{5} b^{3} - 4 \, B a^{4} b^{4} + A a^{3} b^{5} + 3 \, B a^{2} b^{6} - 3 \, A a b^{7} + B b^{8}\right)} \cosh\left(e x + d\right)^{5} - 6 \, {\left(2 \, A a^{5} b^{3} - 4 \, B a^{4} b^{4} + A a^{3} b^{5} + 3 \, B a^{2} b^{6} - 3 \, A a b^{7} + B b^{8}\right)} \sinh\left(e x + d\right)^{5} - 30 \, {\left(2 \, A a^{6} b^{2} - 4 \, B a^{5} b^{3} + A a^{4} b^{4} + 3 \, B a^{3} b^{5} - 3 \, A a^{2} b^{6} + B a b^{7}\right)} \cosh\left(e x + d\right)^{4} - 30 \, {\left(2 \, A a^{6} b^{2} - 4 \, B a^{5} b^{3} + A a^{4} b^{4} + 3 \, B a^{3} b^{5} - 3 \, A a^{2} b^{6} + B a b^{7} + {\left(2 \, A a^{5} b^{3} - 4 \, B a^{4} b^{4} + A a^{3} b^{5} + 3 \, B a^{2} b^{6} - 3 \, A a b^{7} + B b^{8}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)^{4} + 4 \, {\left(4 \, {\left(B + C\right)} a^{8} - 22 \, A a^{7} b + 4 \, {\left(7 \, B - 4 \, C\right)} a^{6} b^{2} - 19 \, A a^{5} b^{3} + {\left(7 \, B + 24 \, C\right)} a^{4} b^{4} + 29 \, A a^{3} b^{5} - {\left(39 \, B + 16 \, C\right)} a^{2} b^{6} + 12 \, A a b^{7} + 4 \, C b^{8}\right)} \cosh\left(e x + d\right)^{3} + 4 \, {\left(4 \, {\left(B + C\right)} a^{8} - 22 \, A a^{7} b + 4 \, {\left(7 \, B - 4 \, C\right)} a^{6} b^{2} - 19 \, A a^{5} b^{3} + {\left(7 \, B + 24 \, C\right)} a^{4} b^{4} + 29 \, A a^{3} b^{5} - {\left(39 \, B + 16 \, C\right)} a^{2} b^{6} + 12 \, A a b^{7} + 4 \, C b^{8} - 15 \, {\left(2 \, A a^{5} b^{3} - 4 \, B a^{4} b^{4} + A a^{3} b^{5} + 3 \, B a^{2} b^{6} - 3 \, A a b^{7} + B b^{8}\right)} \cosh\left(e x + d\right)^{2} - 30 \, {\left(2 \, A a^{6} b^{2} - 4 \, B a^{5} b^{3} + A a^{4} b^{4} + 3 \, B a^{3} b^{5} - 3 \, A a^{2} b^{6} + B a b^{7}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)^{3} + 12 \, {\left(4 \, B a^{7} b - 17 \, A a^{6} b^{2} + 13 \, B a^{5} b^{3} + 11 \, A a^{4} b^{4} - 13 \, B a^{3} b^{5} + 4 \, A a^{2} b^{6} - 4 \, B a b^{7} + 2 \, A b^{8}\right)} \cosh\left(e x + d\right)^{2} + 12 \, {\left(4 \, B a^{7} b - 17 \, A a^{6} b^{2} + 13 \, B a^{5} b^{3} + 11 \, A a^{4} b^{4} - 13 \, B a^{3} b^{5} + 4 \, A a^{2} b^{6} - 4 \, B a b^{7} + 2 \, A b^{8} - 5 \, {\left(2 \, A a^{5} b^{3} - 4 \, B a^{4} b^{4} + A a^{3} b^{5} + 3 \, B a^{2} b^{6} - 3 \, A a b^{7} + B b^{8}\right)} \cosh\left(e x + d\right)^{3} - 15 \, {\left(2 \, A a^{6} b^{2} - 4 \, B a^{5} b^{3} + A a^{4} b^{4} + 3 \, B a^{3} b^{5} - 3 \, A a^{2} b^{6} + B a b^{7}\right)} \cosh\left(e x + d\right)^{2} + {\left(4 \, {\left(B + C\right)} a^{8} - 22 \, A a^{7} b + 4 \, {\left(7 \, B - 4 \, C\right)} a^{6} b^{2} - 19 \, A a^{5} b^{3} + {\left(7 \, B + 24 \, C\right)} a^{4} b^{4} + 29 \, A a^{3} b^{5} - {\left(39 \, B + 16 \, C\right)} a^{2} b^{6} + 12 \, A a b^{7} + 4 \, C b^{8}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)^{2} - 3 \, {\left(2 \, A a^{3} b^{4} - 4 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7} + {\left(2 \, A a^{3} b^{4} - 4 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(e x + d\right)^{6} + {\left(2 \, A a^{3} b^{4} - 4 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \sinh\left(e x + d\right)^{6} + 6 \, {\left(2 \, A a^{4} b^{3} - 4 \, B a^{3} b^{4} + 3 \, A a^{2} b^{5} - B a b^{6}\right)} \cosh\left(e x + d\right)^{5} + 6 \, {\left(2 \, A a^{4} b^{3} - 4 \, B a^{3} b^{4} + 3 \, A a^{2} b^{5} - B a b^{6} + {\left(2 \, A a^{3} b^{4} - 4 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)^{5} + 3 \, {\left(8 \, A a^{5} b^{2} - 16 \, B a^{4} b^{3} + 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(e x + d\right)^{4} + 3 \, {\left(8 \, A a^{5} b^{2} - 16 \, B a^{4} b^{3} + 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7} + 5 \, {\left(2 \, A a^{3} b^{4} - 4 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(e x + d\right)^{2} + 10 \, {\left(2 \, A a^{4} b^{3} - 4 \, B a^{3} b^{4} + 3 \, A a^{2} b^{5} - B a b^{6}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)^{4} + 4 \, {\left(4 \, A a^{6} b - 8 \, B a^{5} b^{2} + 12 \, A a^{4} b^{3} - 14 \, B a^{3} b^{4} + 9 \, A a^{2} b^{5} - 3 \, B a b^{6}\right)} \cosh\left(e x + d\right)^{3} + 4 \, {\left(4 \, A a^{6} b - 8 \, B a^{5} b^{2} + 12 \, A a^{4} b^{3} - 14 \, B a^{3} b^{4} + 9 \, A a^{2} b^{5} - 3 \, B a b^{6} + 5 \, {\left(2 \, A a^{3} b^{4} - 4 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(e x + d\right)^{3} + 15 \, {\left(2 \, A a^{4} b^{3} - 4 \, B a^{3} b^{4} + 3 \, A a^{2} b^{5} - B a b^{6}\right)} \cosh\left(e x + d\right)^{2} + 3 \, {\left(8 \, A a^{5} b^{2} - 16 \, B a^{4} b^{3} + 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)^{3} + 3 \, {\left(8 \, A a^{5} b^{2} - 16 \, B a^{4} b^{3} + 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(e x + d\right)^{2} + 3 \, {\left(8 \, A a^{5} b^{2} - 16 \, B a^{4} b^{3} + 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7} + 5 \, {\left(2 \, A a^{3} b^{4} - 4 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(e x + d\right)^{4} + 20 \, {\left(2 \, A a^{4} b^{3} - 4 \, B a^{3} b^{4} + 3 \, A a^{2} b^{5} - B a b^{6}\right)} \cosh\left(e x + d\right)^{3} + 6 \, {\left(8 \, A a^{5} b^{2} - 16 \, B a^{4} b^{3} + 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(e x + d\right)^{2} + 4 \, {\left(4 \, A a^{6} b - 8 \, B a^{5} b^{2} + 12 \, A a^{4} b^{3} - 14 \, B a^{3} b^{4} + 9 \, A a^{2} b^{5} - 3 \, B a b^{6}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)^{2} + 6 \, {\left(2 \, A a^{4} b^{3} - 4 \, B a^{3} b^{4} + 3 \, A a^{2} b^{5} - B a b^{6}\right)} \cosh\left(e x + d\right) + 6 \, {\left(2 \, A a^{4} b^{3} - 4 \, B a^{3} b^{4} + 3 \, A a^{2} b^{5} - B a b^{6} + {\left(2 \, A a^{3} b^{4} - 4 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(e x + d\right)^{5} + 5 \, {\left(2 \, A a^{4} b^{3} - 4 \, B a^{3} b^{4} + 3 \, A a^{2} b^{5} - B a b^{6}\right)} \cosh\left(e x + d\right)^{4} + 2 \, {\left(8 \, A a^{5} b^{2} - 16 \, B a^{4} b^{3} + 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(e x + d\right)^{3} + 2 \, {\left(4 \, A a^{6} b - 8 \, B a^{5} b^{2} + 12 \, A a^{4} b^{3} - 14 \, B a^{3} b^{4} + 9 \, A a^{2} b^{5} - 3 \, B a b^{6}\right)} \cosh\left(e x + d\right)^{2} + {\left(8 \, A a^{5} b^{2} - 16 \, B a^{4} b^{3} + 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)\right)} \sqrt{a^{2} - b^{2}} \log\left(\frac{b^{2} \cosh\left(e x + d\right)^{2} + b^{2} \sinh\left(e x + d\right)^{2} + 2 \, a b \cosh\left(e x + d\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(e x + d\right) + a b\right)} \sinh\left(e x + d\right) - 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(e x + d\right) + b \sinh\left(e x + d\right) + a\right)}}{b \cosh\left(e x + d\right)^{2} + b \sinh\left(e x + d\right)^{2} + 2 \, a \cosh\left(e x + d\right) + 2 \, {\left(b \cosh\left(e x + d\right) + a\right)} \sinh\left(e x + d\right) + b}\right) + 6 \, {\left(4 \, B a^{6} b^{2} - 20 \, A a^{5} b^{3} + 18 \, B a^{4} b^{4} + 15 \, A a^{3} b^{5} - 23 \, B a^{2} b^{6} + 5 \, A a b^{7} + B b^{8}\right)} \cosh\left(e x + d\right) + 6 \, {\left(4 \, B a^{6} b^{2} - 20 \, A a^{5} b^{3} + 18 \, B a^{4} b^{4} + 15 \, A a^{3} b^{5} - 23 \, B a^{2} b^{6} + 5 \, A a b^{7} + B b^{8} - 5 \, {\left(2 \, A a^{5} b^{3} - 4 \, B a^{4} b^{4} + A a^{3} b^{5} + 3 \, B a^{2} b^{6} - 3 \, A a b^{7} + B b^{8}\right)} \cosh\left(e x + d\right)^{4} - 20 \, {\left(2 \, A a^{6} b^{2} - 4 \, B a^{5} b^{3} + A a^{4} b^{4} + 3 \, B a^{3} b^{5} - 3 \, A a^{2} b^{6} + B a b^{7}\right)} \cosh\left(e x + d\right)^{3} + 2 \, {\left(4 \, {\left(B + C\right)} a^{8} - 22 \, A a^{7} b + 4 \, {\left(7 \, B - 4 \, C\right)} a^{6} b^{2} - 19 \, A a^{5} b^{3} + {\left(7 \, B + 24 \, C\right)} a^{4} b^{4} + 29 \, A a^{3} b^{5} - {\left(39 \, B + 16 \, C\right)} a^{2} b^{6} + 12 \, A a b^{7} + 4 \, C b^{8}\right)} \cosh\left(e x + d\right)^{2} + 4 \, {\left(4 \, B a^{7} b - 17 \, A a^{6} b^{2} + 13 \, B a^{5} b^{3} + 11 \, A a^{4} b^{4} - 13 \, B a^{3} b^{5} + 4 \, A a^{2} b^{6} - 4 \, B a b^{7} + 2 \, A b^{8}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)}{6 \, {\left({\left(a^{8} b^{4} - 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} - 4 \, a^{2} b^{10} + b^{12}\right)} e \cosh\left(e x + d\right)^{6} + {\left(a^{8} b^{4} - 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} - 4 \, a^{2} b^{10} + b^{12}\right)} e \sinh\left(e x + d\right)^{6} + 6 \, {\left(a^{9} b^{3} - 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} - 4 \, a^{3} b^{9} + a b^{11}\right)} e \cosh\left(e x + d\right)^{5} + 3 \, {\left(4 \, a^{10} b^{2} - 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} - 10 \, a^{4} b^{8} + b^{12}\right)} e \cosh\left(e x + d\right)^{4} + 6 \, {\left({\left(a^{8} b^{4} - 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} - 4 \, a^{2} b^{10} + b^{12}\right)} e \cosh\left(e x + d\right) + {\left(a^{9} b^{3} - 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} - 4 \, a^{3} b^{9} + a b^{11}\right)} e\right)} \sinh\left(e x + d\right)^{5} + 4 \, {\left(2 \, a^{11} b - 5 \, a^{9} b^{3} + 10 \, a^{5} b^{7} - 10 \, a^{3} b^{9} + 3 \, a b^{11}\right)} e \cosh\left(e x + d\right)^{3} + 3 \, {\left(5 \, {\left(a^{8} b^{4} - 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} - 4 \, a^{2} b^{10} + b^{12}\right)} e \cosh\left(e x + d\right)^{2} + 10 \, {\left(a^{9} b^{3} - 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} - 4 \, a^{3} b^{9} + a b^{11}\right)} e \cosh\left(e x + d\right) + {\left(4 \, a^{10} b^{2} - 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} - 10 \, a^{4} b^{8} + b^{12}\right)} e\right)} \sinh\left(e x + d\right)^{4} + 3 \, {\left(4 \, a^{10} b^{2} - 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} - 10 \, a^{4} b^{8} + b^{12}\right)} e \cosh\left(e x + d\right)^{2} + 4 \, {\left(5 \, {\left(a^{8} b^{4} - 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} - 4 \, a^{2} b^{10} + b^{12}\right)} e \cosh\left(e x + d\right)^{3} + 15 \, {\left(a^{9} b^{3} - 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} - 4 \, a^{3} b^{9} + a b^{11}\right)} e \cosh\left(e x + d\right)^{2} + 3 \, {\left(4 \, a^{10} b^{2} - 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} - 10 \, a^{4} b^{8} + b^{12}\right)} e \cosh\left(e x + d\right) + {\left(2 \, a^{11} b - 5 \, a^{9} b^{3} + 10 \, a^{5} b^{7} - 10 \, a^{3} b^{9} + 3 \, a b^{11}\right)} e\right)} \sinh\left(e x + d\right)^{3} + 6 \, {\left(a^{9} b^{3} - 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} - 4 \, a^{3} b^{9} + a b^{11}\right)} e \cosh\left(e x + d\right) + 3 \, {\left(5 \, {\left(a^{8} b^{4} - 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} - 4 \, a^{2} b^{10} + b^{12}\right)} e \cosh\left(e x + d\right)^{4} + 20 \, {\left(a^{9} b^{3} - 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} - 4 \, a^{3} b^{9} + a b^{11}\right)} e \cosh\left(e x + d\right)^{3} + 6 \, {\left(4 \, a^{10} b^{2} - 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} - 10 \, a^{4} b^{8} + b^{12}\right)} e \cosh\left(e x + d\right)^{2} + 4 \, {\left(2 \, a^{11} b - 5 \, a^{9} b^{3} + 10 \, a^{5} b^{7} - 10 \, a^{3} b^{9} + 3 \, a b^{11}\right)} e \cosh\left(e x + d\right) + {\left(4 \, a^{10} b^{2} - 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} - 10 \, a^{4} b^{8} + b^{12}\right)} e\right)} \sinh\left(e x + d\right)^{2} + {\left(a^{8} b^{4} - 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} - 4 \, a^{2} b^{10} + b^{12}\right)} e + 6 \, {\left({\left(a^{8} b^{4} - 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} - 4 \, a^{2} b^{10} + b^{12}\right)} e \cosh\left(e x + d\right)^{5} + 5 \, {\left(a^{9} b^{3} - 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} - 4 \, a^{3} b^{9} + a b^{11}\right)} e \cosh\left(e x + d\right)^{4} + 2 \, {\left(4 \, a^{10} b^{2} - 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} - 10 \, a^{4} b^{8} + b^{12}\right)} e \cosh\left(e x + d\right)^{3} + 2 \, {\left(2 \, a^{11} b - 5 \, a^{9} b^{3} + 10 \, a^{5} b^{7} - 10 \, a^{3} b^{9} + 3 \, a b^{11}\right)} e \cosh\left(e x + d\right)^{2} + {\left(4 \, a^{10} b^{2} - 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} - 10 \, a^{4} b^{8} + b^{12}\right)} e \cosh\left(e x + d\right) + {\left(a^{9} b^{3} - 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} - 4 \, a^{3} b^{9} + a b^{11}\right)} e\right)} \sinh\left(e x + d\right)\right)}}, -\frac{2 \, B a^{5} b^{3} - 11 \, A a^{4} b^{4} + 11 \, B a^{3} b^{5} + 7 \, A a^{2} b^{6} - 13 \, B a b^{7} + 4 \, A b^{8} - 3 \, {\left(2 \, A a^{5} b^{3} - 4 \, B a^{4} b^{4} + A a^{3} b^{5} + 3 \, B a^{2} b^{6} - 3 \, A a b^{7} + B b^{8}\right)} \cosh\left(e x + d\right)^{5} - 3 \, {\left(2 \, A a^{5} b^{3} - 4 \, B a^{4} b^{4} + A a^{3} b^{5} + 3 \, B a^{2} b^{6} - 3 \, A a b^{7} + B b^{8}\right)} \sinh\left(e x + d\right)^{5} - 15 \, {\left(2 \, A a^{6} b^{2} - 4 \, B a^{5} b^{3} + A a^{4} b^{4} + 3 \, B a^{3} b^{5} - 3 \, A a^{2} b^{6} + B a b^{7}\right)} \cosh\left(e x + d\right)^{4} - 15 \, {\left(2 \, A a^{6} b^{2} - 4 \, B a^{5} b^{3} + A a^{4} b^{4} + 3 \, B a^{3} b^{5} - 3 \, A a^{2} b^{6} + B a b^{7} + {\left(2 \, A a^{5} b^{3} - 4 \, B a^{4} b^{4} + A a^{3} b^{5} + 3 \, B a^{2} b^{6} - 3 \, A a b^{7} + B b^{8}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)^{4} + 2 \, {\left(4 \, {\left(B + C\right)} a^{8} - 22 \, A a^{7} b + 4 \, {\left(7 \, B - 4 \, C\right)} a^{6} b^{2} - 19 \, A a^{5} b^{3} + {\left(7 \, B + 24 \, C\right)} a^{4} b^{4} + 29 \, A a^{3} b^{5} - {\left(39 \, B + 16 \, C\right)} a^{2} b^{6} + 12 \, A a b^{7} + 4 \, C b^{8}\right)} \cosh\left(e x + d\right)^{3} + 2 \, {\left(4 \, {\left(B + C\right)} a^{8} - 22 \, A a^{7} b + 4 \, {\left(7 \, B - 4 \, C\right)} a^{6} b^{2} - 19 \, A a^{5} b^{3} + {\left(7 \, B + 24 \, C\right)} a^{4} b^{4} + 29 \, A a^{3} b^{5} - {\left(39 \, B + 16 \, C\right)} a^{2} b^{6} + 12 \, A a b^{7} + 4 \, C b^{8} - 15 \, {\left(2 \, A a^{5} b^{3} - 4 \, B a^{4} b^{4} + A a^{3} b^{5} + 3 \, B a^{2} b^{6} - 3 \, A a b^{7} + B b^{8}\right)} \cosh\left(e x + d\right)^{2} - 30 \, {\left(2 \, A a^{6} b^{2} - 4 \, B a^{5} b^{3} + A a^{4} b^{4} + 3 \, B a^{3} b^{5} - 3 \, A a^{2} b^{6} + B a b^{7}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)^{3} + 6 \, {\left(4 \, B a^{7} b - 17 \, A a^{6} b^{2} + 13 \, B a^{5} b^{3} + 11 \, A a^{4} b^{4} - 13 \, B a^{3} b^{5} + 4 \, A a^{2} b^{6} - 4 \, B a b^{7} + 2 \, A b^{8}\right)} \cosh\left(e x + d\right)^{2} + 6 \, {\left(4 \, B a^{7} b - 17 \, A a^{6} b^{2} + 13 \, B a^{5} b^{3} + 11 \, A a^{4} b^{4} - 13 \, B a^{3} b^{5} + 4 \, A a^{2} b^{6} - 4 \, B a b^{7} + 2 \, A b^{8} - 5 \, {\left(2 \, A a^{5} b^{3} - 4 \, B a^{4} b^{4} + A a^{3} b^{5} + 3 \, B a^{2} b^{6} - 3 \, A a b^{7} + B b^{8}\right)} \cosh\left(e x + d\right)^{3} - 15 \, {\left(2 \, A a^{6} b^{2} - 4 \, B a^{5} b^{3} + A a^{4} b^{4} + 3 \, B a^{3} b^{5} - 3 \, A a^{2} b^{6} + B a b^{7}\right)} \cosh\left(e x + d\right)^{2} + {\left(4 \, {\left(B + C\right)} a^{8} - 22 \, A a^{7} b + 4 \, {\left(7 \, B - 4 \, C\right)} a^{6} b^{2} - 19 \, A a^{5} b^{3} + {\left(7 \, B + 24 \, C\right)} a^{4} b^{4} + 29 \, A a^{3} b^{5} - {\left(39 \, B + 16 \, C\right)} a^{2} b^{6} + 12 \, A a b^{7} + 4 \, C b^{8}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)^{2} + 3 \, {\left(2 \, A a^{3} b^{4} - 4 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7} + {\left(2 \, A a^{3} b^{4} - 4 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(e x + d\right)^{6} + {\left(2 \, A a^{3} b^{4} - 4 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \sinh\left(e x + d\right)^{6} + 6 \, {\left(2 \, A a^{4} b^{3} - 4 \, B a^{3} b^{4} + 3 \, A a^{2} b^{5} - B a b^{6}\right)} \cosh\left(e x + d\right)^{5} + 6 \, {\left(2 \, A a^{4} b^{3} - 4 \, B a^{3} b^{4} + 3 \, A a^{2} b^{5} - B a b^{6} + {\left(2 \, A a^{3} b^{4} - 4 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)^{5} + 3 \, {\left(8 \, A a^{5} b^{2} - 16 \, B a^{4} b^{3} + 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(e x + d\right)^{4} + 3 \, {\left(8 \, A a^{5} b^{2} - 16 \, B a^{4} b^{3} + 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7} + 5 \, {\left(2 \, A a^{3} b^{4} - 4 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(e x + d\right)^{2} + 10 \, {\left(2 \, A a^{4} b^{3} - 4 \, B a^{3} b^{4} + 3 \, A a^{2} b^{5} - B a b^{6}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)^{4} + 4 \, {\left(4 \, A a^{6} b - 8 \, B a^{5} b^{2} + 12 \, A a^{4} b^{3} - 14 \, B a^{3} b^{4} + 9 \, A a^{2} b^{5} - 3 \, B a b^{6}\right)} \cosh\left(e x + d\right)^{3} + 4 \, {\left(4 \, A a^{6} b - 8 \, B a^{5} b^{2} + 12 \, A a^{4} b^{3} - 14 \, B a^{3} b^{4} + 9 \, A a^{2} b^{5} - 3 \, B a b^{6} + 5 \, {\left(2 \, A a^{3} b^{4} - 4 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(e x + d\right)^{3} + 15 \, {\left(2 \, A a^{4} b^{3} - 4 \, B a^{3} b^{4} + 3 \, A a^{2} b^{5} - B a b^{6}\right)} \cosh\left(e x + d\right)^{2} + 3 \, {\left(8 \, A a^{5} b^{2} - 16 \, B a^{4} b^{3} + 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)^{3} + 3 \, {\left(8 \, A a^{5} b^{2} - 16 \, B a^{4} b^{3} + 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(e x + d\right)^{2} + 3 \, {\left(8 \, A a^{5} b^{2} - 16 \, B a^{4} b^{3} + 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7} + 5 \, {\left(2 \, A a^{3} b^{4} - 4 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(e x + d\right)^{4} + 20 \, {\left(2 \, A a^{4} b^{3} - 4 \, B a^{3} b^{4} + 3 \, A a^{2} b^{5} - B a b^{6}\right)} \cosh\left(e x + d\right)^{3} + 6 \, {\left(8 \, A a^{5} b^{2} - 16 \, B a^{4} b^{3} + 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(e x + d\right)^{2} + 4 \, {\left(4 \, A a^{6} b - 8 \, B a^{5} b^{2} + 12 \, A a^{4} b^{3} - 14 \, B a^{3} b^{4} + 9 \, A a^{2} b^{5} - 3 \, B a b^{6}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)^{2} + 6 \, {\left(2 \, A a^{4} b^{3} - 4 \, B a^{3} b^{4} + 3 \, A a^{2} b^{5} - B a b^{6}\right)} \cosh\left(e x + d\right) + 6 \, {\left(2 \, A a^{4} b^{3} - 4 \, B a^{3} b^{4} + 3 \, A a^{2} b^{5} - B a b^{6} + {\left(2 \, A a^{3} b^{4} - 4 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(e x + d\right)^{5} + 5 \, {\left(2 \, A a^{4} b^{3} - 4 \, B a^{3} b^{4} + 3 \, A a^{2} b^{5} - B a b^{6}\right)} \cosh\left(e x + d\right)^{4} + 2 \, {\left(8 \, A a^{5} b^{2} - 16 \, B a^{4} b^{3} + 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(e x + d\right)^{3} + 2 \, {\left(4 \, A a^{6} b - 8 \, B a^{5} b^{2} + 12 \, A a^{4} b^{3} - 14 \, B a^{3} b^{4} + 9 \, A a^{2} b^{5} - 3 \, B a b^{6}\right)} \cosh\left(e x + d\right)^{2} + {\left(8 \, A a^{5} b^{2} - 16 \, B a^{4} b^{3} + 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)\right)} \sqrt{-a^{2} + b^{2}} \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(e x + d\right) + b \sinh\left(e x + d\right) + a\right)}}{a^{2} - b^{2}}\right) + 3 \, {\left(4 \, B a^{6} b^{2} - 20 \, A a^{5} b^{3} + 18 \, B a^{4} b^{4} + 15 \, A a^{3} b^{5} - 23 \, B a^{2} b^{6} + 5 \, A a b^{7} + B b^{8}\right)} \cosh\left(e x + d\right) + 3 \, {\left(4 \, B a^{6} b^{2} - 20 \, A a^{5} b^{3} + 18 \, B a^{4} b^{4} + 15 \, A a^{3} b^{5} - 23 \, B a^{2} b^{6} + 5 \, A a b^{7} + B b^{8} - 5 \, {\left(2 \, A a^{5} b^{3} - 4 \, B a^{4} b^{4} + A a^{3} b^{5} + 3 \, B a^{2} b^{6} - 3 \, A a b^{7} + B b^{8}\right)} \cosh\left(e x + d\right)^{4} - 20 \, {\left(2 \, A a^{6} b^{2} - 4 \, B a^{5} b^{3} + A a^{4} b^{4} + 3 \, B a^{3} b^{5} - 3 \, A a^{2} b^{6} + B a b^{7}\right)} \cosh\left(e x + d\right)^{3} + 2 \, {\left(4 \, {\left(B + C\right)} a^{8} - 22 \, A a^{7} b + 4 \, {\left(7 \, B - 4 \, C\right)} a^{6} b^{2} - 19 \, A a^{5} b^{3} + {\left(7 \, B + 24 \, C\right)} a^{4} b^{4} + 29 \, A a^{3} b^{5} - {\left(39 \, B + 16 \, C\right)} a^{2} b^{6} + 12 \, A a b^{7} + 4 \, C b^{8}\right)} \cosh\left(e x + d\right)^{2} + 4 \, {\left(4 \, B a^{7} b - 17 \, A a^{6} b^{2} + 13 \, B a^{5} b^{3} + 11 \, A a^{4} b^{4} - 13 \, B a^{3} b^{5} + 4 \, A a^{2} b^{6} - 4 \, B a b^{7} + 2 \, A b^{8}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)}{3 \, {\left({\left(a^{8} b^{4} - 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} - 4 \, a^{2} b^{10} + b^{12}\right)} e \cosh\left(e x + d\right)^{6} + {\left(a^{8} b^{4} - 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} - 4 \, a^{2} b^{10} + b^{12}\right)} e \sinh\left(e x + d\right)^{6} + 6 \, {\left(a^{9} b^{3} - 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} - 4 \, a^{3} b^{9} + a b^{11}\right)} e \cosh\left(e x + d\right)^{5} + 3 \, {\left(4 \, a^{10} b^{2} - 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} - 10 \, a^{4} b^{8} + b^{12}\right)} e \cosh\left(e x + d\right)^{4} + 6 \, {\left({\left(a^{8} b^{4} - 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} - 4 \, a^{2} b^{10} + b^{12}\right)} e \cosh\left(e x + d\right) + {\left(a^{9} b^{3} - 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} - 4 \, a^{3} b^{9} + a b^{11}\right)} e\right)} \sinh\left(e x + d\right)^{5} + 4 \, {\left(2 \, a^{11} b - 5 \, a^{9} b^{3} + 10 \, a^{5} b^{7} - 10 \, a^{3} b^{9} + 3 \, a b^{11}\right)} e \cosh\left(e x + d\right)^{3} + 3 \, {\left(5 \, {\left(a^{8} b^{4} - 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} - 4 \, a^{2} b^{10} + b^{12}\right)} e \cosh\left(e x + d\right)^{2} + 10 \, {\left(a^{9} b^{3} - 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} - 4 \, a^{3} b^{9} + a b^{11}\right)} e \cosh\left(e x + d\right) + {\left(4 \, a^{10} b^{2} - 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} - 10 \, a^{4} b^{8} + b^{12}\right)} e\right)} \sinh\left(e x + d\right)^{4} + 3 \, {\left(4 \, a^{10} b^{2} - 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} - 10 \, a^{4} b^{8} + b^{12}\right)} e \cosh\left(e x + d\right)^{2} + 4 \, {\left(5 \, {\left(a^{8} b^{4} - 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} - 4 \, a^{2} b^{10} + b^{12}\right)} e \cosh\left(e x + d\right)^{3} + 15 \, {\left(a^{9} b^{3} - 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} - 4 \, a^{3} b^{9} + a b^{11}\right)} e \cosh\left(e x + d\right)^{2} + 3 \, {\left(4 \, a^{10} b^{2} - 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} - 10 \, a^{4} b^{8} + b^{12}\right)} e \cosh\left(e x + d\right) + {\left(2 \, a^{11} b - 5 \, a^{9} b^{3} + 10 \, a^{5} b^{7} - 10 \, a^{3} b^{9} + 3 \, a b^{11}\right)} e\right)} \sinh\left(e x + d\right)^{3} + 6 \, {\left(a^{9} b^{3} - 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} - 4 \, a^{3} b^{9} + a b^{11}\right)} e \cosh\left(e x + d\right) + 3 \, {\left(5 \, {\left(a^{8} b^{4} - 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} - 4 \, a^{2} b^{10} + b^{12}\right)} e \cosh\left(e x + d\right)^{4} + 20 \, {\left(a^{9} b^{3} - 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} - 4 \, a^{3} b^{9} + a b^{11}\right)} e \cosh\left(e x + d\right)^{3} + 6 \, {\left(4 \, a^{10} b^{2} - 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} - 10 \, a^{4} b^{8} + b^{12}\right)} e \cosh\left(e x + d\right)^{2} + 4 \, {\left(2 \, a^{11} b - 5 \, a^{9} b^{3} + 10 \, a^{5} b^{7} - 10 \, a^{3} b^{9} + 3 \, a b^{11}\right)} e \cosh\left(e x + d\right) + {\left(4 \, a^{10} b^{2} - 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} - 10 \, a^{4} b^{8} + b^{12}\right)} e\right)} \sinh\left(e x + d\right)^{2} + {\left(a^{8} b^{4} - 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} - 4 \, a^{2} b^{10} + b^{12}\right)} e + 6 \, {\left({\left(a^{8} b^{4} - 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} - 4 \, a^{2} b^{10} + b^{12}\right)} e \cosh\left(e x + d\right)^{5} + 5 \, {\left(a^{9} b^{3} - 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} - 4 \, a^{3} b^{9} + a b^{11}\right)} e \cosh\left(e x + d\right)^{4} + 2 \, {\left(4 \, a^{10} b^{2} - 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} - 10 \, a^{4} b^{8} + b^{12}\right)} e \cosh\left(e x + d\right)^{3} + 2 \, {\left(2 \, a^{11} b - 5 \, a^{9} b^{3} + 10 \, a^{5} b^{7} - 10 \, a^{3} b^{9} + 3 \, a b^{11}\right)} e \cosh\left(e x + d\right)^{2} + {\left(4 \, a^{10} b^{2} - 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} - 10 \, a^{4} b^{8} + b^{12}\right)} e \cosh\left(e x + d\right) + {\left(a^{9} b^{3} - 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} - 4 \, a^{3} b^{9} + a b^{11}\right)} e\right)} \sinh\left(e x + d\right)\right)}}\right]"," ",0,"[-1/6*(4*B*a^5*b^3 - 22*A*a^4*b^4 + 22*B*a^3*b^5 + 14*A*a^2*b^6 - 26*B*a*b^7 + 8*A*b^8 - 6*(2*A*a^5*b^3 - 4*B*a^4*b^4 + A*a^3*b^5 + 3*B*a^2*b^6 - 3*A*a*b^7 + B*b^8)*cosh(e*x + d)^5 - 6*(2*A*a^5*b^3 - 4*B*a^4*b^4 + A*a^3*b^5 + 3*B*a^2*b^6 - 3*A*a*b^7 + B*b^8)*sinh(e*x + d)^5 - 30*(2*A*a^6*b^2 - 4*B*a^5*b^3 + A*a^4*b^4 + 3*B*a^3*b^5 - 3*A*a^2*b^6 + B*a*b^7)*cosh(e*x + d)^4 - 30*(2*A*a^6*b^2 - 4*B*a^5*b^3 + A*a^4*b^4 + 3*B*a^3*b^5 - 3*A*a^2*b^6 + B*a*b^7 + (2*A*a^5*b^3 - 4*B*a^4*b^4 + A*a^3*b^5 + 3*B*a^2*b^6 - 3*A*a*b^7 + B*b^8)*cosh(e*x + d))*sinh(e*x + d)^4 + 4*(4*(B + C)*a^8 - 22*A*a^7*b + 4*(7*B - 4*C)*a^6*b^2 - 19*A*a^5*b^3 + (7*B + 24*C)*a^4*b^4 + 29*A*a^3*b^5 - (39*B + 16*C)*a^2*b^6 + 12*A*a*b^7 + 4*C*b^8)*cosh(e*x + d)^3 + 4*(4*(B + C)*a^8 - 22*A*a^7*b + 4*(7*B - 4*C)*a^6*b^2 - 19*A*a^5*b^3 + (7*B + 24*C)*a^4*b^4 + 29*A*a^3*b^5 - (39*B + 16*C)*a^2*b^6 + 12*A*a*b^7 + 4*C*b^8 - 15*(2*A*a^5*b^3 - 4*B*a^4*b^4 + A*a^3*b^5 + 3*B*a^2*b^6 - 3*A*a*b^7 + B*b^8)*cosh(e*x + d)^2 - 30*(2*A*a^6*b^2 - 4*B*a^5*b^3 + A*a^4*b^4 + 3*B*a^3*b^5 - 3*A*a^2*b^6 + B*a*b^7)*cosh(e*x + d))*sinh(e*x + d)^3 + 12*(4*B*a^7*b - 17*A*a^6*b^2 + 13*B*a^5*b^3 + 11*A*a^4*b^4 - 13*B*a^3*b^5 + 4*A*a^2*b^6 - 4*B*a*b^7 + 2*A*b^8)*cosh(e*x + d)^2 + 12*(4*B*a^7*b - 17*A*a^6*b^2 + 13*B*a^5*b^3 + 11*A*a^4*b^4 - 13*B*a^3*b^5 + 4*A*a^2*b^6 - 4*B*a*b^7 + 2*A*b^8 - 5*(2*A*a^5*b^3 - 4*B*a^4*b^4 + A*a^3*b^5 + 3*B*a^2*b^6 - 3*A*a*b^7 + B*b^8)*cosh(e*x + d)^3 - 15*(2*A*a^6*b^2 - 4*B*a^5*b^3 + A*a^4*b^4 + 3*B*a^3*b^5 - 3*A*a^2*b^6 + B*a*b^7)*cosh(e*x + d)^2 + (4*(B + C)*a^8 - 22*A*a^7*b + 4*(7*B - 4*C)*a^6*b^2 - 19*A*a^5*b^3 + (7*B + 24*C)*a^4*b^4 + 29*A*a^3*b^5 - (39*B + 16*C)*a^2*b^6 + 12*A*a*b^7 + 4*C*b^8)*cosh(e*x + d))*sinh(e*x + d)^2 - 3*(2*A*a^3*b^4 - 4*B*a^2*b^5 + 3*A*a*b^6 - B*b^7 + (2*A*a^3*b^4 - 4*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(e*x + d)^6 + (2*A*a^3*b^4 - 4*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*sinh(e*x + d)^6 + 6*(2*A*a^4*b^3 - 4*B*a^3*b^4 + 3*A*a^2*b^5 - B*a*b^6)*cosh(e*x + d)^5 + 6*(2*A*a^4*b^3 - 4*B*a^3*b^4 + 3*A*a^2*b^5 - B*a*b^6 + (2*A*a^3*b^4 - 4*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(e*x + d))*sinh(e*x + d)^5 + 3*(8*A*a^5*b^2 - 16*B*a^4*b^3 + 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(e*x + d)^4 + 3*(8*A*a^5*b^2 - 16*B*a^4*b^3 + 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 - B*b^7 + 5*(2*A*a^3*b^4 - 4*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(e*x + d)^2 + 10*(2*A*a^4*b^3 - 4*B*a^3*b^4 + 3*A*a^2*b^5 - B*a*b^6)*cosh(e*x + d))*sinh(e*x + d)^4 + 4*(4*A*a^6*b - 8*B*a^5*b^2 + 12*A*a^4*b^3 - 14*B*a^3*b^4 + 9*A*a^2*b^5 - 3*B*a*b^6)*cosh(e*x + d)^3 + 4*(4*A*a^6*b - 8*B*a^5*b^2 + 12*A*a^4*b^3 - 14*B*a^3*b^4 + 9*A*a^2*b^5 - 3*B*a*b^6 + 5*(2*A*a^3*b^4 - 4*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(e*x + d)^3 + 15*(2*A*a^4*b^3 - 4*B*a^3*b^4 + 3*A*a^2*b^5 - B*a*b^6)*cosh(e*x + d)^2 + 3*(8*A*a^5*b^2 - 16*B*a^4*b^3 + 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(e*x + d))*sinh(e*x + d)^3 + 3*(8*A*a^5*b^2 - 16*B*a^4*b^3 + 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(e*x + d)^2 + 3*(8*A*a^5*b^2 - 16*B*a^4*b^3 + 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 - B*b^7 + 5*(2*A*a^3*b^4 - 4*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(e*x + d)^4 + 20*(2*A*a^4*b^3 - 4*B*a^3*b^4 + 3*A*a^2*b^5 - B*a*b^6)*cosh(e*x + d)^3 + 6*(8*A*a^5*b^2 - 16*B*a^4*b^3 + 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(e*x + d)^2 + 4*(4*A*a^6*b - 8*B*a^5*b^2 + 12*A*a^4*b^3 - 14*B*a^3*b^4 + 9*A*a^2*b^5 - 3*B*a*b^6)*cosh(e*x + d))*sinh(e*x + d)^2 + 6*(2*A*a^4*b^3 - 4*B*a^3*b^4 + 3*A*a^2*b^5 - B*a*b^6)*cosh(e*x + d) + 6*(2*A*a^4*b^3 - 4*B*a^3*b^4 + 3*A*a^2*b^5 - B*a*b^6 + (2*A*a^3*b^4 - 4*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(e*x + d)^5 + 5*(2*A*a^4*b^3 - 4*B*a^3*b^4 + 3*A*a^2*b^5 - B*a*b^6)*cosh(e*x + d)^4 + 2*(8*A*a^5*b^2 - 16*B*a^4*b^3 + 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(e*x + d)^3 + 2*(4*A*a^6*b - 8*B*a^5*b^2 + 12*A*a^4*b^3 - 14*B*a^3*b^4 + 9*A*a^2*b^5 - 3*B*a*b^6)*cosh(e*x + d)^2 + (8*A*a^5*b^2 - 16*B*a^4*b^3 + 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(e*x + d))*sinh(e*x + d))*sqrt(a^2 - b^2)*log((b^2*cosh(e*x + d)^2 + b^2*sinh(e*x + d)^2 + 2*a*b*cosh(e*x + d) + 2*a^2 - b^2 + 2*(b^2*cosh(e*x + d) + a*b)*sinh(e*x + d) - 2*sqrt(a^2 - b^2)*(b*cosh(e*x + d) + b*sinh(e*x + d) + a))/(b*cosh(e*x + d)^2 + b*sinh(e*x + d)^2 + 2*a*cosh(e*x + d) + 2*(b*cosh(e*x + d) + a)*sinh(e*x + d) + b)) + 6*(4*B*a^6*b^2 - 20*A*a^5*b^3 + 18*B*a^4*b^4 + 15*A*a^3*b^5 - 23*B*a^2*b^6 + 5*A*a*b^7 + B*b^8)*cosh(e*x + d) + 6*(4*B*a^6*b^2 - 20*A*a^5*b^3 + 18*B*a^4*b^4 + 15*A*a^3*b^5 - 23*B*a^2*b^6 + 5*A*a*b^7 + B*b^8 - 5*(2*A*a^5*b^3 - 4*B*a^4*b^4 + A*a^3*b^5 + 3*B*a^2*b^6 - 3*A*a*b^7 + B*b^8)*cosh(e*x + d)^4 - 20*(2*A*a^6*b^2 - 4*B*a^5*b^3 + A*a^4*b^4 + 3*B*a^3*b^5 - 3*A*a^2*b^6 + B*a*b^7)*cosh(e*x + d)^3 + 2*(4*(B + C)*a^8 - 22*A*a^7*b + 4*(7*B - 4*C)*a^6*b^2 - 19*A*a^5*b^3 + (7*B + 24*C)*a^4*b^4 + 29*A*a^3*b^5 - (39*B + 16*C)*a^2*b^6 + 12*A*a*b^7 + 4*C*b^8)*cosh(e*x + d)^2 + 4*(4*B*a^7*b - 17*A*a^6*b^2 + 13*B*a^5*b^3 + 11*A*a^4*b^4 - 13*B*a^3*b^5 + 4*A*a^2*b^6 - 4*B*a*b^7 + 2*A*b^8)*cosh(e*x + d))*sinh(e*x + d))/((a^8*b^4 - 4*a^6*b^6 + 6*a^4*b^8 - 4*a^2*b^10 + b^12)*e*cosh(e*x + d)^6 + (a^8*b^4 - 4*a^6*b^6 + 6*a^4*b^8 - 4*a^2*b^10 + b^12)*e*sinh(e*x + d)^6 + 6*(a^9*b^3 - 4*a^7*b^5 + 6*a^5*b^7 - 4*a^3*b^9 + a*b^11)*e*cosh(e*x + d)^5 + 3*(4*a^10*b^2 - 15*a^8*b^4 + 20*a^6*b^6 - 10*a^4*b^8 + b^12)*e*cosh(e*x + d)^4 + 6*((a^8*b^4 - 4*a^6*b^6 + 6*a^4*b^8 - 4*a^2*b^10 + b^12)*e*cosh(e*x + d) + (a^9*b^3 - 4*a^7*b^5 + 6*a^5*b^7 - 4*a^3*b^9 + a*b^11)*e)*sinh(e*x + d)^5 + 4*(2*a^11*b - 5*a^9*b^3 + 10*a^5*b^7 - 10*a^3*b^9 + 3*a*b^11)*e*cosh(e*x + d)^3 + 3*(5*(a^8*b^4 - 4*a^6*b^6 + 6*a^4*b^8 - 4*a^2*b^10 + b^12)*e*cosh(e*x + d)^2 + 10*(a^9*b^3 - 4*a^7*b^5 + 6*a^5*b^7 - 4*a^3*b^9 + a*b^11)*e*cosh(e*x + d) + (4*a^10*b^2 - 15*a^8*b^4 + 20*a^6*b^6 - 10*a^4*b^8 + b^12)*e)*sinh(e*x + d)^4 + 3*(4*a^10*b^2 - 15*a^8*b^4 + 20*a^6*b^6 - 10*a^4*b^8 + b^12)*e*cosh(e*x + d)^2 + 4*(5*(a^8*b^4 - 4*a^6*b^6 + 6*a^4*b^8 - 4*a^2*b^10 + b^12)*e*cosh(e*x + d)^3 + 15*(a^9*b^3 - 4*a^7*b^5 + 6*a^5*b^7 - 4*a^3*b^9 + a*b^11)*e*cosh(e*x + d)^2 + 3*(4*a^10*b^2 - 15*a^8*b^4 + 20*a^6*b^6 - 10*a^4*b^8 + b^12)*e*cosh(e*x + d) + (2*a^11*b - 5*a^9*b^3 + 10*a^5*b^7 - 10*a^3*b^9 + 3*a*b^11)*e)*sinh(e*x + d)^3 + 6*(a^9*b^3 - 4*a^7*b^5 + 6*a^5*b^7 - 4*a^3*b^9 + a*b^11)*e*cosh(e*x + d) + 3*(5*(a^8*b^4 - 4*a^6*b^6 + 6*a^4*b^8 - 4*a^2*b^10 + b^12)*e*cosh(e*x + d)^4 + 20*(a^9*b^3 - 4*a^7*b^5 + 6*a^5*b^7 - 4*a^3*b^9 + a*b^11)*e*cosh(e*x + d)^3 + 6*(4*a^10*b^2 - 15*a^8*b^4 + 20*a^6*b^6 - 10*a^4*b^8 + b^12)*e*cosh(e*x + d)^2 + 4*(2*a^11*b - 5*a^9*b^3 + 10*a^5*b^7 - 10*a^3*b^9 + 3*a*b^11)*e*cosh(e*x + d) + (4*a^10*b^2 - 15*a^8*b^4 + 20*a^6*b^6 - 10*a^4*b^8 + b^12)*e)*sinh(e*x + d)^2 + (a^8*b^4 - 4*a^6*b^6 + 6*a^4*b^8 - 4*a^2*b^10 + b^12)*e + 6*((a^8*b^4 - 4*a^6*b^6 + 6*a^4*b^8 - 4*a^2*b^10 + b^12)*e*cosh(e*x + d)^5 + 5*(a^9*b^3 - 4*a^7*b^5 + 6*a^5*b^7 - 4*a^3*b^9 + a*b^11)*e*cosh(e*x + d)^4 + 2*(4*a^10*b^2 - 15*a^8*b^4 + 20*a^6*b^6 - 10*a^4*b^8 + b^12)*e*cosh(e*x + d)^3 + 2*(2*a^11*b - 5*a^9*b^3 + 10*a^5*b^7 - 10*a^3*b^9 + 3*a*b^11)*e*cosh(e*x + d)^2 + (4*a^10*b^2 - 15*a^8*b^4 + 20*a^6*b^6 - 10*a^4*b^8 + b^12)*e*cosh(e*x + d) + (a^9*b^3 - 4*a^7*b^5 + 6*a^5*b^7 - 4*a^3*b^9 + a*b^11)*e)*sinh(e*x + d)), -1/3*(2*B*a^5*b^3 - 11*A*a^4*b^4 + 11*B*a^3*b^5 + 7*A*a^2*b^6 - 13*B*a*b^7 + 4*A*b^8 - 3*(2*A*a^5*b^3 - 4*B*a^4*b^4 + A*a^3*b^5 + 3*B*a^2*b^6 - 3*A*a*b^7 + B*b^8)*cosh(e*x + d)^5 - 3*(2*A*a^5*b^3 - 4*B*a^4*b^4 + A*a^3*b^5 + 3*B*a^2*b^6 - 3*A*a*b^7 + B*b^8)*sinh(e*x + d)^5 - 15*(2*A*a^6*b^2 - 4*B*a^5*b^3 + A*a^4*b^4 + 3*B*a^3*b^5 - 3*A*a^2*b^6 + B*a*b^7)*cosh(e*x + d)^4 - 15*(2*A*a^6*b^2 - 4*B*a^5*b^3 + A*a^4*b^4 + 3*B*a^3*b^5 - 3*A*a^2*b^6 + B*a*b^7 + (2*A*a^5*b^3 - 4*B*a^4*b^4 + A*a^3*b^5 + 3*B*a^2*b^6 - 3*A*a*b^7 + B*b^8)*cosh(e*x + d))*sinh(e*x + d)^4 + 2*(4*(B + C)*a^8 - 22*A*a^7*b + 4*(7*B - 4*C)*a^6*b^2 - 19*A*a^5*b^3 + (7*B + 24*C)*a^4*b^4 + 29*A*a^3*b^5 - (39*B + 16*C)*a^2*b^6 + 12*A*a*b^7 + 4*C*b^8)*cosh(e*x + d)^3 + 2*(4*(B + C)*a^8 - 22*A*a^7*b + 4*(7*B - 4*C)*a^6*b^2 - 19*A*a^5*b^3 + (7*B + 24*C)*a^4*b^4 + 29*A*a^3*b^5 - (39*B + 16*C)*a^2*b^6 + 12*A*a*b^7 + 4*C*b^8 - 15*(2*A*a^5*b^3 - 4*B*a^4*b^4 + A*a^3*b^5 + 3*B*a^2*b^6 - 3*A*a*b^7 + B*b^8)*cosh(e*x + d)^2 - 30*(2*A*a^6*b^2 - 4*B*a^5*b^3 + A*a^4*b^4 + 3*B*a^3*b^5 - 3*A*a^2*b^6 + B*a*b^7)*cosh(e*x + d))*sinh(e*x + d)^3 + 6*(4*B*a^7*b - 17*A*a^6*b^2 + 13*B*a^5*b^3 + 11*A*a^4*b^4 - 13*B*a^3*b^5 + 4*A*a^2*b^6 - 4*B*a*b^7 + 2*A*b^8)*cosh(e*x + d)^2 + 6*(4*B*a^7*b - 17*A*a^6*b^2 + 13*B*a^5*b^3 + 11*A*a^4*b^4 - 13*B*a^3*b^5 + 4*A*a^2*b^6 - 4*B*a*b^7 + 2*A*b^8 - 5*(2*A*a^5*b^3 - 4*B*a^4*b^4 + A*a^3*b^5 + 3*B*a^2*b^6 - 3*A*a*b^7 + B*b^8)*cosh(e*x + d)^3 - 15*(2*A*a^6*b^2 - 4*B*a^5*b^3 + A*a^4*b^4 + 3*B*a^3*b^5 - 3*A*a^2*b^6 + B*a*b^7)*cosh(e*x + d)^2 + (4*(B + C)*a^8 - 22*A*a^7*b + 4*(7*B - 4*C)*a^6*b^2 - 19*A*a^5*b^3 + (7*B + 24*C)*a^4*b^4 + 29*A*a^3*b^5 - (39*B + 16*C)*a^2*b^6 + 12*A*a*b^7 + 4*C*b^8)*cosh(e*x + d))*sinh(e*x + d)^2 + 3*(2*A*a^3*b^4 - 4*B*a^2*b^5 + 3*A*a*b^6 - B*b^7 + (2*A*a^3*b^4 - 4*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(e*x + d)^6 + (2*A*a^3*b^4 - 4*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*sinh(e*x + d)^6 + 6*(2*A*a^4*b^3 - 4*B*a^3*b^4 + 3*A*a^2*b^5 - B*a*b^6)*cosh(e*x + d)^5 + 6*(2*A*a^4*b^3 - 4*B*a^3*b^4 + 3*A*a^2*b^5 - B*a*b^6 + (2*A*a^3*b^4 - 4*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(e*x + d))*sinh(e*x + d)^5 + 3*(8*A*a^5*b^2 - 16*B*a^4*b^3 + 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(e*x + d)^4 + 3*(8*A*a^5*b^2 - 16*B*a^4*b^3 + 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 - B*b^7 + 5*(2*A*a^3*b^4 - 4*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(e*x + d)^2 + 10*(2*A*a^4*b^3 - 4*B*a^3*b^4 + 3*A*a^2*b^5 - B*a*b^6)*cosh(e*x + d))*sinh(e*x + d)^4 + 4*(4*A*a^6*b - 8*B*a^5*b^2 + 12*A*a^4*b^3 - 14*B*a^3*b^4 + 9*A*a^2*b^5 - 3*B*a*b^6)*cosh(e*x + d)^3 + 4*(4*A*a^6*b - 8*B*a^5*b^2 + 12*A*a^4*b^3 - 14*B*a^3*b^4 + 9*A*a^2*b^5 - 3*B*a*b^6 + 5*(2*A*a^3*b^4 - 4*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(e*x + d)^3 + 15*(2*A*a^4*b^3 - 4*B*a^3*b^4 + 3*A*a^2*b^5 - B*a*b^6)*cosh(e*x + d)^2 + 3*(8*A*a^5*b^2 - 16*B*a^4*b^3 + 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(e*x + d))*sinh(e*x + d)^3 + 3*(8*A*a^5*b^2 - 16*B*a^4*b^3 + 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(e*x + d)^2 + 3*(8*A*a^5*b^2 - 16*B*a^4*b^3 + 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 - B*b^7 + 5*(2*A*a^3*b^4 - 4*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(e*x + d)^4 + 20*(2*A*a^4*b^3 - 4*B*a^3*b^4 + 3*A*a^2*b^5 - B*a*b^6)*cosh(e*x + d)^3 + 6*(8*A*a^5*b^2 - 16*B*a^4*b^3 + 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(e*x + d)^2 + 4*(4*A*a^6*b - 8*B*a^5*b^2 + 12*A*a^4*b^3 - 14*B*a^3*b^4 + 9*A*a^2*b^5 - 3*B*a*b^6)*cosh(e*x + d))*sinh(e*x + d)^2 + 6*(2*A*a^4*b^3 - 4*B*a^3*b^4 + 3*A*a^2*b^5 - B*a*b^6)*cosh(e*x + d) + 6*(2*A*a^4*b^3 - 4*B*a^3*b^4 + 3*A*a^2*b^5 - B*a*b^6 + (2*A*a^3*b^4 - 4*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(e*x + d)^5 + 5*(2*A*a^4*b^3 - 4*B*a^3*b^4 + 3*A*a^2*b^5 - B*a*b^6)*cosh(e*x + d)^4 + 2*(8*A*a^5*b^2 - 16*B*a^4*b^3 + 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(e*x + d)^3 + 2*(4*A*a^6*b - 8*B*a^5*b^2 + 12*A*a^4*b^3 - 14*B*a^3*b^4 + 9*A*a^2*b^5 - 3*B*a*b^6)*cosh(e*x + d)^2 + (8*A*a^5*b^2 - 16*B*a^4*b^3 + 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 - B*b^7)*cosh(e*x + d))*sinh(e*x + d))*sqrt(-a^2 + b^2)*arctan(-sqrt(-a^2 + b^2)*(b*cosh(e*x + d) + b*sinh(e*x + d) + a)/(a^2 - b^2)) + 3*(4*B*a^6*b^2 - 20*A*a^5*b^3 + 18*B*a^4*b^4 + 15*A*a^3*b^5 - 23*B*a^2*b^6 + 5*A*a*b^7 + B*b^8)*cosh(e*x + d) + 3*(4*B*a^6*b^2 - 20*A*a^5*b^3 + 18*B*a^4*b^4 + 15*A*a^3*b^5 - 23*B*a^2*b^6 + 5*A*a*b^7 + B*b^8 - 5*(2*A*a^5*b^3 - 4*B*a^4*b^4 + A*a^3*b^5 + 3*B*a^2*b^6 - 3*A*a*b^7 + B*b^8)*cosh(e*x + d)^4 - 20*(2*A*a^6*b^2 - 4*B*a^5*b^3 + A*a^4*b^4 + 3*B*a^3*b^5 - 3*A*a^2*b^6 + B*a*b^7)*cosh(e*x + d)^3 + 2*(4*(B + C)*a^8 - 22*A*a^7*b + 4*(7*B - 4*C)*a^6*b^2 - 19*A*a^5*b^3 + (7*B + 24*C)*a^4*b^4 + 29*A*a^3*b^5 - (39*B + 16*C)*a^2*b^6 + 12*A*a*b^7 + 4*C*b^8)*cosh(e*x + d)^2 + 4*(4*B*a^7*b - 17*A*a^6*b^2 + 13*B*a^5*b^3 + 11*A*a^4*b^4 - 13*B*a^3*b^5 + 4*A*a^2*b^6 - 4*B*a*b^7 + 2*A*b^8)*cosh(e*x + d))*sinh(e*x + d))/((a^8*b^4 - 4*a^6*b^6 + 6*a^4*b^8 - 4*a^2*b^10 + b^12)*e*cosh(e*x + d)^6 + (a^8*b^4 - 4*a^6*b^6 + 6*a^4*b^8 - 4*a^2*b^10 + b^12)*e*sinh(e*x + d)^6 + 6*(a^9*b^3 - 4*a^7*b^5 + 6*a^5*b^7 - 4*a^3*b^9 + a*b^11)*e*cosh(e*x + d)^5 + 3*(4*a^10*b^2 - 15*a^8*b^4 + 20*a^6*b^6 - 10*a^4*b^8 + b^12)*e*cosh(e*x + d)^4 + 6*((a^8*b^4 - 4*a^6*b^6 + 6*a^4*b^8 - 4*a^2*b^10 + b^12)*e*cosh(e*x + d) + (a^9*b^3 - 4*a^7*b^5 + 6*a^5*b^7 - 4*a^3*b^9 + a*b^11)*e)*sinh(e*x + d)^5 + 4*(2*a^11*b - 5*a^9*b^3 + 10*a^5*b^7 - 10*a^3*b^9 + 3*a*b^11)*e*cosh(e*x + d)^3 + 3*(5*(a^8*b^4 - 4*a^6*b^6 + 6*a^4*b^8 - 4*a^2*b^10 + b^12)*e*cosh(e*x + d)^2 + 10*(a^9*b^3 - 4*a^7*b^5 + 6*a^5*b^7 - 4*a^3*b^9 + a*b^11)*e*cosh(e*x + d) + (4*a^10*b^2 - 15*a^8*b^4 + 20*a^6*b^6 - 10*a^4*b^8 + b^12)*e)*sinh(e*x + d)^4 + 3*(4*a^10*b^2 - 15*a^8*b^4 + 20*a^6*b^6 - 10*a^4*b^8 + b^12)*e*cosh(e*x + d)^2 + 4*(5*(a^8*b^4 - 4*a^6*b^6 + 6*a^4*b^8 - 4*a^2*b^10 + b^12)*e*cosh(e*x + d)^3 + 15*(a^9*b^3 - 4*a^7*b^5 + 6*a^5*b^7 - 4*a^3*b^9 + a*b^11)*e*cosh(e*x + d)^2 + 3*(4*a^10*b^2 - 15*a^8*b^4 + 20*a^6*b^6 - 10*a^4*b^8 + b^12)*e*cosh(e*x + d) + (2*a^11*b - 5*a^9*b^3 + 10*a^5*b^7 - 10*a^3*b^9 + 3*a*b^11)*e)*sinh(e*x + d)^3 + 6*(a^9*b^3 - 4*a^7*b^5 + 6*a^5*b^7 - 4*a^3*b^9 + a*b^11)*e*cosh(e*x + d) + 3*(5*(a^8*b^4 - 4*a^6*b^6 + 6*a^4*b^8 - 4*a^2*b^10 + b^12)*e*cosh(e*x + d)^4 + 20*(a^9*b^3 - 4*a^7*b^5 + 6*a^5*b^7 - 4*a^3*b^9 + a*b^11)*e*cosh(e*x + d)^3 + 6*(4*a^10*b^2 - 15*a^8*b^4 + 20*a^6*b^6 - 10*a^4*b^8 + b^12)*e*cosh(e*x + d)^2 + 4*(2*a^11*b - 5*a^9*b^3 + 10*a^5*b^7 - 10*a^3*b^9 + 3*a*b^11)*e*cosh(e*x + d) + (4*a^10*b^2 - 15*a^8*b^4 + 20*a^6*b^6 - 10*a^4*b^8 + b^12)*e)*sinh(e*x + d)^2 + (a^8*b^4 - 4*a^6*b^6 + 6*a^4*b^8 - 4*a^2*b^10 + b^12)*e + 6*((a^8*b^4 - 4*a^6*b^6 + 6*a^4*b^8 - 4*a^2*b^10 + b^12)*e*cosh(e*x + d)^5 + 5*(a^9*b^3 - 4*a^7*b^5 + 6*a^5*b^7 - 4*a^3*b^9 + a*b^11)*e*cosh(e*x + d)^4 + 2*(4*a^10*b^2 - 15*a^8*b^4 + 20*a^6*b^6 - 10*a^4*b^8 + b^12)*e*cosh(e*x + d)^3 + 2*(2*a^11*b - 5*a^9*b^3 + 10*a^5*b^7 - 10*a^3*b^9 + 3*a*b^11)*e*cosh(e*x + d)^2 + (4*a^10*b^2 - 15*a^8*b^4 + 20*a^6*b^6 - 10*a^4*b^8 + b^12)*e*cosh(e*x + d) + (a^9*b^3 - 4*a^7*b^5 + 6*a^5*b^7 - 4*a^3*b^9 + a*b^11)*e)*sinh(e*x + d))]","B",0
210,1,780,0,0.557595," ","integrate(x/(a+b*cosh(x)^2),x, algorithm=""fricas"")","-\frac{b x \sqrt{\frac{a^{2} + a b}{b^{2}}} \log\left(\frac{{\left({\left(2 \, a + b\right)} \cosh\left(x\right) + {\left(2 \, a + b\right)} \sinh\left(x\right) - 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} + a b}{b^{2}}}\right)} \sqrt{-\frac{2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} + 2 \, a + b}{b}} + b}{b}\right) + b x \sqrt{\frac{a^{2} + a b}{b^{2}}} \log\left(-\frac{{\left({\left(2 \, a + b\right)} \cosh\left(x\right) + {\left(2 \, a + b\right)} \sinh\left(x\right) - 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} + a b}{b^{2}}}\right)} \sqrt{-\frac{2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} + 2 \, a + b}{b}} - b}{b}\right) - b x \sqrt{\frac{a^{2} + a b}{b^{2}}} \log\left(\frac{{\left({\left(2 \, a + b\right)} \cosh\left(x\right) + {\left(2 \, a + b\right)} \sinh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} + a b}{b^{2}}}\right)} \sqrt{\frac{2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} - 2 \, a - b}{b}} + b}{b}\right) - b x \sqrt{\frac{a^{2} + a b}{b^{2}}} \log\left(-\frac{{\left({\left(2 \, a + b\right)} \cosh\left(x\right) + {\left(2 \, a + b\right)} \sinh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} + a b}{b^{2}}}\right)} \sqrt{\frac{2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} - 2 \, a - b}{b}} - b}{b}\right) + b \sqrt{\frac{a^{2} + a b}{b^{2}}} {\rm Li}_2\left(-\frac{{\left({\left(2 \, a + b\right)} \cosh\left(x\right) + {\left(2 \, a + b\right)} \sinh\left(x\right) - 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} + a b}{b^{2}}}\right)} \sqrt{-\frac{2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} + 2 \, a + b}{b}} + b}{b} + 1\right) + b \sqrt{\frac{a^{2} + a b}{b^{2}}} {\rm Li}_2\left(\frac{{\left({\left(2 \, a + b\right)} \cosh\left(x\right) + {\left(2 \, a + b\right)} \sinh\left(x\right) - 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} + a b}{b^{2}}}\right)} \sqrt{-\frac{2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} + 2 \, a + b}{b}} - b}{b} + 1\right) - b \sqrt{\frac{a^{2} + a b}{b^{2}}} {\rm Li}_2\left(-\frac{{\left({\left(2 \, a + b\right)} \cosh\left(x\right) + {\left(2 \, a + b\right)} \sinh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} + a b}{b^{2}}}\right)} \sqrt{\frac{2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} - 2 \, a - b}{b}} + b}{b} + 1\right) - b \sqrt{\frac{a^{2} + a b}{b^{2}}} {\rm Li}_2\left(\frac{{\left({\left(2 \, a + b\right)} \cosh\left(x\right) + {\left(2 \, a + b\right)} \sinh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} + a b}{b^{2}}}\right)} \sqrt{\frac{2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} - 2 \, a - b}{b}} - b}{b} + 1\right)}{2 \, {\left(a^{2} + a b\right)}}"," ",0,"-1/2*(b*x*sqrt((a^2 + a*b)/b^2)*log((((2*a + b)*cosh(x) + (2*a + b)*sinh(x) - 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 + a*b)/b^2))*sqrt(-(2*b*sqrt((a^2 + a*b)/b^2) + 2*a + b)/b) + b)/b) + b*x*sqrt((a^2 + a*b)/b^2)*log(-(((2*a + b)*cosh(x) + (2*a + b)*sinh(x) - 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 + a*b)/b^2))*sqrt(-(2*b*sqrt((a^2 + a*b)/b^2) + 2*a + b)/b) - b)/b) - b*x*sqrt((a^2 + a*b)/b^2)*log((((2*a + b)*cosh(x) + (2*a + b)*sinh(x) + 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 + a*b)/b^2))*sqrt((2*b*sqrt((a^2 + a*b)/b^2) - 2*a - b)/b) + b)/b) - b*x*sqrt((a^2 + a*b)/b^2)*log(-(((2*a + b)*cosh(x) + (2*a + b)*sinh(x) + 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 + a*b)/b^2))*sqrt((2*b*sqrt((a^2 + a*b)/b^2) - 2*a - b)/b) - b)/b) + b*sqrt((a^2 + a*b)/b^2)*dilog(-(((2*a + b)*cosh(x) + (2*a + b)*sinh(x) - 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 + a*b)/b^2))*sqrt(-(2*b*sqrt((a^2 + a*b)/b^2) + 2*a + b)/b) + b)/b + 1) + b*sqrt((a^2 + a*b)/b^2)*dilog((((2*a + b)*cosh(x) + (2*a + b)*sinh(x) - 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 + a*b)/b^2))*sqrt(-(2*b*sqrt((a^2 + a*b)/b^2) + 2*a + b)/b) - b)/b + 1) - b*sqrt((a^2 + a*b)/b^2)*dilog(-(((2*a + b)*cosh(x) + (2*a + b)*sinh(x) + 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 + a*b)/b^2))*sqrt((2*b*sqrt((a^2 + a*b)/b^2) - 2*a - b)/b) + b)/b + 1) - b*sqrt((a^2 + a*b)/b^2)*dilog((((2*a + b)*cosh(x) + (2*a + b)*sinh(x) + 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 + a*b)/b^2))*sqrt((2*b*sqrt((a^2 + a*b)/b^2) - 2*a - b)/b) - b)/b + 1))/(a^2 + a*b)","B",0
211,1,1162,0,1.379728," ","integrate(x^2/(a+b*cosh(x)^2),x, algorithm=""fricas"")","-\frac{b x^{2} \sqrt{\frac{a^{2} + a b}{b^{2}}} \log\left(\frac{{\left({\left(2 \, a + b\right)} \cosh\left(x\right) + {\left(2 \, a + b\right)} \sinh\left(x\right) - 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} + a b}{b^{2}}}\right)} \sqrt{-\frac{2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} + 2 \, a + b}{b}} + b}{b}\right) + b x^{2} \sqrt{\frac{a^{2} + a b}{b^{2}}} \log\left(-\frac{{\left({\left(2 \, a + b\right)} \cosh\left(x\right) + {\left(2 \, a + b\right)} \sinh\left(x\right) - 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} + a b}{b^{2}}}\right)} \sqrt{-\frac{2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} + 2 \, a + b}{b}} - b}{b}\right) - b x^{2} \sqrt{\frac{a^{2} + a b}{b^{2}}} \log\left(\frac{{\left({\left(2 \, a + b\right)} \cosh\left(x\right) + {\left(2 \, a + b\right)} \sinh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} + a b}{b^{2}}}\right)} \sqrt{\frac{2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} - 2 \, a - b}{b}} + b}{b}\right) - b x^{2} \sqrt{\frac{a^{2} + a b}{b^{2}}} \log\left(-\frac{{\left({\left(2 \, a + b\right)} \cosh\left(x\right) + {\left(2 \, a + b\right)} \sinh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} + a b}{b^{2}}}\right)} \sqrt{\frac{2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} - 2 \, a - b}{b}} - b}{b}\right) + 2 \, b x \sqrt{\frac{a^{2} + a b}{b^{2}}} {\rm Li}_2\left(-\frac{{\left({\left(2 \, a + b\right)} \cosh\left(x\right) + {\left(2 \, a + b\right)} \sinh\left(x\right) - 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} + a b}{b^{2}}}\right)} \sqrt{-\frac{2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} + 2 \, a + b}{b}} + b}{b} + 1\right) + 2 \, b x \sqrt{\frac{a^{2} + a b}{b^{2}}} {\rm Li}_2\left(\frac{{\left({\left(2 \, a + b\right)} \cosh\left(x\right) + {\left(2 \, a + b\right)} \sinh\left(x\right) - 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} + a b}{b^{2}}}\right)} \sqrt{-\frac{2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} + 2 \, a + b}{b}} - b}{b} + 1\right) - 2 \, b x \sqrt{\frac{a^{2} + a b}{b^{2}}} {\rm Li}_2\left(-\frac{{\left({\left(2 \, a + b\right)} \cosh\left(x\right) + {\left(2 \, a + b\right)} \sinh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} + a b}{b^{2}}}\right)} \sqrt{\frac{2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} - 2 \, a - b}{b}} + b}{b} + 1\right) - 2 \, b x \sqrt{\frac{a^{2} + a b}{b^{2}}} {\rm Li}_2\left(\frac{{\left({\left(2 \, a + b\right)} \cosh\left(x\right) + {\left(2 \, a + b\right)} \sinh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} + a b}{b^{2}}}\right)} \sqrt{\frac{2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} - 2 \, a - b}{b}} - b}{b} + 1\right) - 2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} {\rm polylog}\left(3, \frac{{\left({\left(2 \, a + b\right)} \cosh\left(x\right) + {\left(2 \, a + b\right)} \sinh\left(x\right) - 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} + a b}{b^{2}}}\right)} \sqrt{-\frac{2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} + 2 \, a + b}{b}}}{b}\right) - 2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} {\rm polylog}\left(3, -\frac{{\left({\left(2 \, a + b\right)} \cosh\left(x\right) + {\left(2 \, a + b\right)} \sinh\left(x\right) - 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} + a b}{b^{2}}}\right)} \sqrt{-\frac{2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} + 2 \, a + b}{b}}}{b}\right) + 2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} {\rm polylog}\left(3, \frac{{\left({\left(2 \, a + b\right)} \cosh\left(x\right) + {\left(2 \, a + b\right)} \sinh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} + a b}{b^{2}}}\right)} \sqrt{\frac{2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} - 2 \, a - b}{b}}}{b}\right) + 2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} {\rm polylog}\left(3, -\frac{{\left({\left(2 \, a + b\right)} \cosh\left(x\right) + {\left(2 \, a + b\right)} \sinh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} + a b}{b^{2}}}\right)} \sqrt{\frac{2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} - 2 \, a - b}{b}}}{b}\right)}{2 \, {\left(a^{2} + a b\right)}}"," ",0,"-1/2*(b*x^2*sqrt((a^2 + a*b)/b^2)*log((((2*a + b)*cosh(x) + (2*a + b)*sinh(x) - 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 + a*b)/b^2))*sqrt(-(2*b*sqrt((a^2 + a*b)/b^2) + 2*a + b)/b) + b)/b) + b*x^2*sqrt((a^2 + a*b)/b^2)*log(-(((2*a + b)*cosh(x) + (2*a + b)*sinh(x) - 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 + a*b)/b^2))*sqrt(-(2*b*sqrt((a^2 + a*b)/b^2) + 2*a + b)/b) - b)/b) - b*x^2*sqrt((a^2 + a*b)/b^2)*log((((2*a + b)*cosh(x) + (2*a + b)*sinh(x) + 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 + a*b)/b^2))*sqrt((2*b*sqrt((a^2 + a*b)/b^2) - 2*a - b)/b) + b)/b) - b*x^2*sqrt((a^2 + a*b)/b^2)*log(-(((2*a + b)*cosh(x) + (2*a + b)*sinh(x) + 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 + a*b)/b^2))*sqrt((2*b*sqrt((a^2 + a*b)/b^2) - 2*a - b)/b) - b)/b) + 2*b*x*sqrt((a^2 + a*b)/b^2)*dilog(-(((2*a + b)*cosh(x) + (2*a + b)*sinh(x) - 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 + a*b)/b^2))*sqrt(-(2*b*sqrt((a^2 + a*b)/b^2) + 2*a + b)/b) + b)/b + 1) + 2*b*x*sqrt((a^2 + a*b)/b^2)*dilog((((2*a + b)*cosh(x) + (2*a + b)*sinh(x) - 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 + a*b)/b^2))*sqrt(-(2*b*sqrt((a^2 + a*b)/b^2) + 2*a + b)/b) - b)/b + 1) - 2*b*x*sqrt((a^2 + a*b)/b^2)*dilog(-(((2*a + b)*cosh(x) + (2*a + b)*sinh(x) + 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 + a*b)/b^2))*sqrt((2*b*sqrt((a^2 + a*b)/b^2) - 2*a - b)/b) + b)/b + 1) - 2*b*x*sqrt((a^2 + a*b)/b^2)*dilog((((2*a + b)*cosh(x) + (2*a + b)*sinh(x) + 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 + a*b)/b^2))*sqrt((2*b*sqrt((a^2 + a*b)/b^2) - 2*a - b)/b) - b)/b + 1) - 2*b*sqrt((a^2 + a*b)/b^2)*polylog(3, ((2*a + b)*cosh(x) + (2*a + b)*sinh(x) - 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 + a*b)/b^2))*sqrt(-(2*b*sqrt((a^2 + a*b)/b^2) + 2*a + b)/b)/b) - 2*b*sqrt((a^2 + a*b)/b^2)*polylog(3, -((2*a + b)*cosh(x) + (2*a + b)*sinh(x) - 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 + a*b)/b^2))*sqrt(-(2*b*sqrt((a^2 + a*b)/b^2) + 2*a + b)/b)/b) + 2*b*sqrt((a^2 + a*b)/b^2)*polylog(3, ((2*a + b)*cosh(x) + (2*a + b)*sinh(x) + 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 + a*b)/b^2))*sqrt((2*b*sqrt((a^2 + a*b)/b^2) - 2*a - b)/b)/b) + 2*b*sqrt((a^2 + a*b)/b^2)*polylog(3, -((2*a + b)*cosh(x) + (2*a + b)*sinh(x) + 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 + a*b)/b^2))*sqrt((2*b*sqrt((a^2 + a*b)/b^2) - 2*a - b)/b)/b))/(a^2 + a*b)","C",0
212,1,1542,0,0.569246," ","integrate(x^3/(a+b*cosh(x)^2),x, algorithm=""fricas"")","-\frac{b x^{3} \sqrt{\frac{a^{2} + a b}{b^{2}}} \log\left(\frac{{\left({\left(2 \, a + b\right)} \cosh\left(x\right) + {\left(2 \, a + b\right)} \sinh\left(x\right) - 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} + a b}{b^{2}}}\right)} \sqrt{-\frac{2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} + 2 \, a + b}{b}} + b}{b}\right) + b x^{3} \sqrt{\frac{a^{2} + a b}{b^{2}}} \log\left(-\frac{{\left({\left(2 \, a + b\right)} \cosh\left(x\right) + {\left(2 \, a + b\right)} \sinh\left(x\right) - 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} + a b}{b^{2}}}\right)} \sqrt{-\frac{2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} + 2 \, a + b}{b}} - b}{b}\right) - b x^{3} \sqrt{\frac{a^{2} + a b}{b^{2}}} \log\left(\frac{{\left({\left(2 \, a + b\right)} \cosh\left(x\right) + {\left(2 \, a + b\right)} \sinh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} + a b}{b^{2}}}\right)} \sqrt{\frac{2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} - 2 \, a - b}{b}} + b}{b}\right) - b x^{3} \sqrt{\frac{a^{2} + a b}{b^{2}}} \log\left(-\frac{{\left({\left(2 \, a + b\right)} \cosh\left(x\right) + {\left(2 \, a + b\right)} \sinh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} + a b}{b^{2}}}\right)} \sqrt{\frac{2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} - 2 \, a - b}{b}} - b}{b}\right) + 3 \, b x^{2} \sqrt{\frac{a^{2} + a b}{b^{2}}} {\rm Li}_2\left(-\frac{{\left({\left(2 \, a + b\right)} \cosh\left(x\right) + {\left(2 \, a + b\right)} \sinh\left(x\right) - 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} + a b}{b^{2}}}\right)} \sqrt{-\frac{2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} + 2 \, a + b}{b}} + b}{b} + 1\right) + 3 \, b x^{2} \sqrt{\frac{a^{2} + a b}{b^{2}}} {\rm Li}_2\left(\frac{{\left({\left(2 \, a + b\right)} \cosh\left(x\right) + {\left(2 \, a + b\right)} \sinh\left(x\right) - 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} + a b}{b^{2}}}\right)} \sqrt{-\frac{2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} + 2 \, a + b}{b}} - b}{b} + 1\right) - 3 \, b x^{2} \sqrt{\frac{a^{2} + a b}{b^{2}}} {\rm Li}_2\left(-\frac{{\left({\left(2 \, a + b\right)} \cosh\left(x\right) + {\left(2 \, a + b\right)} \sinh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} + a b}{b^{2}}}\right)} \sqrt{\frac{2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} - 2 \, a - b}{b}} + b}{b} + 1\right) - 3 \, b x^{2} \sqrt{\frac{a^{2} + a b}{b^{2}}} {\rm Li}_2\left(\frac{{\left({\left(2 \, a + b\right)} \cosh\left(x\right) + {\left(2 \, a + b\right)} \sinh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} + a b}{b^{2}}}\right)} \sqrt{\frac{2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} - 2 \, a - b}{b}} - b}{b} + 1\right) - 6 \, b x \sqrt{\frac{a^{2} + a b}{b^{2}}} {\rm polylog}\left(3, \frac{{\left({\left(2 \, a + b\right)} \cosh\left(x\right) + {\left(2 \, a + b\right)} \sinh\left(x\right) - 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} + a b}{b^{2}}}\right)} \sqrt{-\frac{2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} + 2 \, a + b}{b}}}{b}\right) - 6 \, b x \sqrt{\frac{a^{2} + a b}{b^{2}}} {\rm polylog}\left(3, -\frac{{\left({\left(2 \, a + b\right)} \cosh\left(x\right) + {\left(2 \, a + b\right)} \sinh\left(x\right) - 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} + a b}{b^{2}}}\right)} \sqrt{-\frac{2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} + 2 \, a + b}{b}}}{b}\right) + 6 \, b x \sqrt{\frac{a^{2} + a b}{b^{2}}} {\rm polylog}\left(3, \frac{{\left({\left(2 \, a + b\right)} \cosh\left(x\right) + {\left(2 \, a + b\right)} \sinh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} + a b}{b^{2}}}\right)} \sqrt{\frac{2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} - 2 \, a - b}{b}}}{b}\right) + 6 \, b x \sqrt{\frac{a^{2} + a b}{b^{2}}} {\rm polylog}\left(3, -\frac{{\left({\left(2 \, a + b\right)} \cosh\left(x\right) + {\left(2 \, a + b\right)} \sinh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} + a b}{b^{2}}}\right)} \sqrt{\frac{2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} - 2 \, a - b}{b}}}{b}\right) + 6 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} {\rm polylog}\left(4, \frac{{\left({\left(2 \, a + b\right)} \cosh\left(x\right) + {\left(2 \, a + b\right)} \sinh\left(x\right) - 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} + a b}{b^{2}}}\right)} \sqrt{-\frac{2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} + 2 \, a + b}{b}}}{b}\right) + 6 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} {\rm polylog}\left(4, -\frac{{\left({\left(2 \, a + b\right)} \cosh\left(x\right) + {\left(2 \, a + b\right)} \sinh\left(x\right) - 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} + a b}{b^{2}}}\right)} \sqrt{-\frac{2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} + 2 \, a + b}{b}}}{b}\right) - 6 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} {\rm polylog}\left(4, \frac{{\left({\left(2 \, a + b\right)} \cosh\left(x\right) + {\left(2 \, a + b\right)} \sinh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} + a b}{b^{2}}}\right)} \sqrt{\frac{2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} - 2 \, a - b}{b}}}{b}\right) - 6 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} {\rm polylog}\left(4, -\frac{{\left({\left(2 \, a + b\right)} \cosh\left(x\right) + {\left(2 \, a + b\right)} \sinh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} + a b}{b^{2}}}\right)} \sqrt{\frac{2 \, b \sqrt{\frac{a^{2} + a b}{b^{2}}} - 2 \, a - b}{b}}}{b}\right)}{2 \, {\left(a^{2} + a b\right)}}"," ",0,"-1/2*(b*x^3*sqrt((a^2 + a*b)/b^2)*log((((2*a + b)*cosh(x) + (2*a + b)*sinh(x) - 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 + a*b)/b^2))*sqrt(-(2*b*sqrt((a^2 + a*b)/b^2) + 2*a + b)/b) + b)/b) + b*x^3*sqrt((a^2 + a*b)/b^2)*log(-(((2*a + b)*cosh(x) + (2*a + b)*sinh(x) - 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 + a*b)/b^2))*sqrt(-(2*b*sqrt((a^2 + a*b)/b^2) + 2*a + b)/b) - b)/b) - b*x^3*sqrt((a^2 + a*b)/b^2)*log((((2*a + b)*cosh(x) + (2*a + b)*sinh(x) + 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 + a*b)/b^2))*sqrt((2*b*sqrt((a^2 + a*b)/b^2) - 2*a - b)/b) + b)/b) - b*x^3*sqrt((a^2 + a*b)/b^2)*log(-(((2*a + b)*cosh(x) + (2*a + b)*sinh(x) + 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 + a*b)/b^2))*sqrt((2*b*sqrt((a^2 + a*b)/b^2) - 2*a - b)/b) - b)/b) + 3*b*x^2*sqrt((a^2 + a*b)/b^2)*dilog(-(((2*a + b)*cosh(x) + (2*a + b)*sinh(x) - 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 + a*b)/b^2))*sqrt(-(2*b*sqrt((a^2 + a*b)/b^2) + 2*a + b)/b) + b)/b + 1) + 3*b*x^2*sqrt((a^2 + a*b)/b^2)*dilog((((2*a + b)*cosh(x) + (2*a + b)*sinh(x) - 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 + a*b)/b^2))*sqrt(-(2*b*sqrt((a^2 + a*b)/b^2) + 2*a + b)/b) - b)/b + 1) - 3*b*x^2*sqrt((a^2 + a*b)/b^2)*dilog(-(((2*a + b)*cosh(x) + (2*a + b)*sinh(x) + 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 + a*b)/b^2))*sqrt((2*b*sqrt((a^2 + a*b)/b^2) - 2*a - b)/b) + b)/b + 1) - 3*b*x^2*sqrt((a^2 + a*b)/b^2)*dilog((((2*a + b)*cosh(x) + (2*a + b)*sinh(x) + 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 + a*b)/b^2))*sqrt((2*b*sqrt((a^2 + a*b)/b^2) - 2*a - b)/b) - b)/b + 1) - 6*b*x*sqrt((a^2 + a*b)/b^2)*polylog(3, ((2*a + b)*cosh(x) + (2*a + b)*sinh(x) - 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 + a*b)/b^2))*sqrt(-(2*b*sqrt((a^2 + a*b)/b^2) + 2*a + b)/b)/b) - 6*b*x*sqrt((a^2 + a*b)/b^2)*polylog(3, -((2*a + b)*cosh(x) + (2*a + b)*sinh(x) - 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 + a*b)/b^2))*sqrt(-(2*b*sqrt((a^2 + a*b)/b^2) + 2*a + b)/b)/b) + 6*b*x*sqrt((a^2 + a*b)/b^2)*polylog(3, ((2*a + b)*cosh(x) + (2*a + b)*sinh(x) + 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 + a*b)/b^2))*sqrt((2*b*sqrt((a^2 + a*b)/b^2) - 2*a - b)/b)/b) + 6*b*x*sqrt((a^2 + a*b)/b^2)*polylog(3, -((2*a + b)*cosh(x) + (2*a + b)*sinh(x) + 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 + a*b)/b^2))*sqrt((2*b*sqrt((a^2 + a*b)/b^2) - 2*a - b)/b)/b) + 6*b*sqrt((a^2 + a*b)/b^2)*polylog(4, ((2*a + b)*cosh(x) + (2*a + b)*sinh(x) - 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 + a*b)/b^2))*sqrt(-(2*b*sqrt((a^2 + a*b)/b^2) + 2*a + b)/b)/b) + 6*b*sqrt((a^2 + a*b)/b^2)*polylog(4, -((2*a + b)*cosh(x) + (2*a + b)*sinh(x) - 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 + a*b)/b^2))*sqrt(-(2*b*sqrt((a^2 + a*b)/b^2) + 2*a + b)/b)/b) - 6*b*sqrt((a^2 + a*b)/b^2)*polylog(4, ((2*a + b)*cosh(x) + (2*a + b)*sinh(x) + 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 + a*b)/b^2))*sqrt((2*b*sqrt((a^2 + a*b)/b^2) - 2*a - b)/b)/b) - 6*b*sqrt((a^2 + a*b)/b^2)*polylog(4, -((2*a + b)*cosh(x) + (2*a + b)*sinh(x) + 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 + a*b)/b^2))*sqrt((2*b*sqrt((a^2 + a*b)/b^2) - 2*a - b)/b)/b))/(a^2 + a*b)","C",0
213,0,0,0,0.719731," ","integrate(cosh((-a*x+1)^(1/2)/(a*x+1)^(1/2))^3/(-a^2*x^2+1),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\cosh\left(\frac{\sqrt{-a x + 1}}{\sqrt{a x + 1}}\right)^{3}}{a^{2} x^{2} - 1}, x\right)"," ",0,"integral(-cosh(sqrt(-a*x + 1)/sqrt(a*x + 1))^3/(a^2*x^2 - 1), x)","F",0
214,0,0,0,0.924479," ","integrate(cosh((-a*x+1)^(1/2)/(a*x+1)^(1/2))^2/(-a^2*x^2+1),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\cosh\left(\frac{\sqrt{-a x + 1}}{\sqrt{a x + 1}}\right)^{2}}{a^{2} x^{2} - 1}, x\right)"," ",0,"integral(-cosh(sqrt(-a*x + 1)/sqrt(a*x + 1))^2/(a^2*x^2 - 1), x)","F",0
215,0,0,0,0.715186," ","integrate(cosh((-a*x+1)^(1/2)/(a*x+1)^(1/2))/(-a^2*x^2+1),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\cosh\left(\frac{\sqrt{-a x + 1}}{\sqrt{a x + 1}}\right)}{a^{2} x^{2} - 1}, x\right)"," ",0,"integral(-cosh(sqrt(-a*x + 1)/sqrt(a*x + 1))/(a^2*x^2 - 1), x)","F",0
216,0,0,0,0.565282," ","integrate(1/(-a^2*x^2+1)/cosh((-a*x+1)^(1/2)/(a*x+1)^(1/2)),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{1}{{\left(a^{2} x^{2} - 1\right)} \cosh\left(\frac{\sqrt{-a x + 1}}{\sqrt{a x + 1}}\right)}, x\right)"," ",0,"integral(-1/((a^2*x^2 - 1)*cosh(sqrt(-a*x + 1)/sqrt(a*x + 1))), x)","F",0
217,0,0,0,0.443586," ","integrate(1/(-a^2*x^2+1)/cosh((-a*x+1)^(1/2)/(a*x+1)^(1/2))^2,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{1}{{\left(a^{2} x^{2} - 1\right)} \cosh\left(\frac{\sqrt{-a x + 1}}{\sqrt{a x + 1}}\right)^{2}}, x\right)"," ",0,"integral(-1/((a^2*x^2 - 1)*cosh(sqrt(-a*x + 1)/sqrt(a*x + 1))^2), x)","F",0
218,1,480,0,0.504157," ","integrate(x*sinh(x)/(a+b*cosh(x))^2,x, algorithm=""fricas"")","\left[-\frac{2 \, {\left(a^{2} - b^{2}\right)} x \cosh\left(x\right) + 2 \, {\left(a^{2} - b^{2}\right)} x \sinh\left(x\right) - {\left(b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b\right)} \sqrt{a^{2} - b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b}\right)}{a^{2} b^{2} - b^{4} + {\left(a^{2} b^{2} - b^{4}\right)} \cosh\left(x\right)^{2} + {\left(a^{2} b^{2} - b^{4}\right)} \sinh\left(x\right)^{2} + 2 \, {\left(a^{3} b - a b^{3}\right)} \cosh\left(x\right) + 2 \, {\left(a^{3} b - a b^{3} + {\left(a^{2} b^{2} - b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}, -\frac{2 \, {\left({\left(a^{2} - b^{2}\right)} x \cosh\left(x\right) + {\left(a^{2} - b^{2}\right)} x \sinh\left(x\right) + {\left(b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b\right)} \sqrt{-a^{2} + b^{2}} \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{a^{2} - b^{2}}\right)\right)}}{a^{2} b^{2} - b^{4} + {\left(a^{2} b^{2} - b^{4}\right)} \cosh\left(x\right)^{2} + {\left(a^{2} b^{2} - b^{4}\right)} \sinh\left(x\right)^{2} + 2 \, {\left(a^{3} b - a b^{3}\right)} \cosh\left(x\right) + 2 \, {\left(a^{3} b - a b^{3} + {\left(a^{2} b^{2} - b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}\right]"," ",0,"[-(2*(a^2 - b^2)*x*cosh(x) + 2*(a^2 - b^2)*x*sinh(x) - (b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) + b)*sqrt(a^2 - b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 - b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 - b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) + b)))/(a^2*b^2 - b^4 + (a^2*b^2 - b^4)*cosh(x)^2 + (a^2*b^2 - b^4)*sinh(x)^2 + 2*(a^3*b - a*b^3)*cosh(x) + 2*(a^3*b - a*b^3 + (a^2*b^2 - b^4)*cosh(x))*sinh(x)), -2*((a^2 - b^2)*x*cosh(x) + (a^2 - b^2)*x*sinh(x) + (b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) + b)*sqrt(-a^2 + b^2)*arctan(-sqrt(-a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a)/(a^2 - b^2)))/(a^2*b^2 - b^4 + (a^2*b^2 - b^4)*cosh(x)^2 + (a^2*b^2 - b^4)*sinh(x)^2 + 2*(a^3*b - a*b^3)*cosh(x) + 2*(a^3*b - a*b^3 + (a^2*b^2 - b^4)*cosh(x))*sinh(x))]","B",0
219,1,1692,0,0.522118," ","integrate(x*sinh(x)/(a+b*cosh(x))^3,x, algorithm=""fricas"")","\left[\frac{2 \, a^{2} b^{2} - 2 \, b^{4} + 2 \, {\left(a^{3} b - a b^{3}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(a^{3} b - a b^{3}\right)} \sinh\left(x\right)^{3} + 2 \, {\left(2 \, a^{4} - a^{2} b^{2} - b^{4} - 2 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} x\right)} \cosh\left(x\right)^{2} + 2 \, {\left(2 \, a^{4} - a^{2} b^{2} - b^{4} - 2 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} x + 3 \, {\left(a^{3} b - a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - {\left(a b^{2} \cosh\left(x\right)^{4} + a b^{2} \sinh\left(x\right)^{4} + 4 \, a^{2} b \cosh\left(x\right)^{3} + 4 \, a^{2} b \cosh\left(x\right) + 4 \, {\left(a b^{2} \cosh\left(x\right) + a^{2} b\right)} \sinh\left(x\right)^{3} + a b^{2} + 2 \, {\left(2 \, a^{3} + a b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, a b^{2} \cosh\left(x\right)^{2} + 6 \, a^{2} b \cosh\left(x\right) + 2 \, a^{3} + a b^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left(a b^{2} \cosh\left(x\right)^{3} + 3 \, a^{2} b \cosh\left(x\right)^{2} + a^{2} b + {\left(2 \, a^{3} + a b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} - b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b}\right) + 6 \, {\left(a^{3} b - a b^{3}\right)} \cosh\left(x\right) + 2 \, {\left(3 \, a^{3} b - 3 \, a b^{3} + 3 \, {\left(a^{3} b - a b^{3}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(2 \, a^{4} - a^{2} b^{2} - b^{4} - 2 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{2 \, {\left(a^{4} b^{3} - 2 \, a^{2} b^{5} + b^{7} + {\left(a^{4} b^{3} - 2 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{4} + {\left(a^{4} b^{3} - 2 \, a^{2} b^{5} + b^{7}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a^{5} b^{2} - 2 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(a^{5} b^{2} - 2 \, a^{3} b^{4} + a b^{6} + {\left(a^{4} b^{3} - 2 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(2 \, a^{6} b - 3 \, a^{4} b^{3} + b^{7}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(2 \, a^{6} b - 3 \, a^{4} b^{3} + b^{7} + 3 \, {\left(a^{4} b^{3} - 2 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(a^{5} b^{2} - 2 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 4 \, {\left(a^{5} b^{2} - 2 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right) + 4 \, {\left(a^{5} b^{2} - 2 \, a^{3} b^{4} + a b^{6} + {\left(a^{4} b^{3} - 2 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{5} b^{2} - 2 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{2} + {\left(2 \, a^{6} b - 3 \, a^{4} b^{3} + b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}, \frac{a^{2} b^{2} - b^{4} + {\left(a^{3} b - a b^{3}\right)} \cosh\left(x\right)^{3} + {\left(a^{3} b - a b^{3}\right)} \sinh\left(x\right)^{3} + {\left(2 \, a^{4} - a^{2} b^{2} - b^{4} - 2 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} x\right)} \cosh\left(x\right)^{2} + {\left(2 \, a^{4} - a^{2} b^{2} - b^{4} - 2 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} x + 3 \, {\left(a^{3} b - a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - {\left(a b^{2} \cosh\left(x\right)^{4} + a b^{2} \sinh\left(x\right)^{4} + 4 \, a^{2} b \cosh\left(x\right)^{3} + 4 \, a^{2} b \cosh\left(x\right) + 4 \, {\left(a b^{2} \cosh\left(x\right) + a^{2} b\right)} \sinh\left(x\right)^{3} + a b^{2} + 2 \, {\left(2 \, a^{3} + a b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, a b^{2} \cosh\left(x\right)^{2} + 6 \, a^{2} b \cosh\left(x\right) + 2 \, a^{3} + a b^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left(a b^{2} \cosh\left(x\right)^{3} + 3 \, a^{2} b \cosh\left(x\right)^{2} + a^{2} b + {\left(2 \, a^{3} + a b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{-a^{2} + b^{2}} \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{a^{2} - b^{2}}\right) + 3 \, {\left(a^{3} b - a b^{3}\right)} \cosh\left(x\right) + {\left(3 \, a^{3} b - 3 \, a b^{3} + 3 \, {\left(a^{3} b - a b^{3}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(2 \, a^{4} - a^{2} b^{2} - b^{4} - 2 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{a^{4} b^{3} - 2 \, a^{2} b^{5} + b^{7} + {\left(a^{4} b^{3} - 2 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{4} + {\left(a^{4} b^{3} - 2 \, a^{2} b^{5} + b^{7}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a^{5} b^{2} - 2 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(a^{5} b^{2} - 2 \, a^{3} b^{4} + a b^{6} + {\left(a^{4} b^{3} - 2 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(2 \, a^{6} b - 3 \, a^{4} b^{3} + b^{7}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(2 \, a^{6} b - 3 \, a^{4} b^{3} + b^{7} + 3 \, {\left(a^{4} b^{3} - 2 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(a^{5} b^{2} - 2 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 4 \, {\left(a^{5} b^{2} - 2 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right) + 4 \, {\left(a^{5} b^{2} - 2 \, a^{3} b^{4} + a b^{6} + {\left(a^{4} b^{3} - 2 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{5} b^{2} - 2 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{2} + {\left(2 \, a^{6} b - 3 \, a^{4} b^{3} + b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}\right]"," ",0,"[1/2*(2*a^2*b^2 - 2*b^4 + 2*(a^3*b - a*b^3)*cosh(x)^3 + 2*(a^3*b - a*b^3)*sinh(x)^3 + 2*(2*a^4 - a^2*b^2 - b^4 - 2*(a^4 - 2*a^2*b^2 + b^4)*x)*cosh(x)^2 + 2*(2*a^4 - a^2*b^2 - b^4 - 2*(a^4 - 2*a^2*b^2 + b^4)*x + 3*(a^3*b - a*b^3)*cosh(x))*sinh(x)^2 - (a*b^2*cosh(x)^4 + a*b^2*sinh(x)^4 + 4*a^2*b*cosh(x)^3 + 4*a^2*b*cosh(x) + 4*(a*b^2*cosh(x) + a^2*b)*sinh(x)^3 + a*b^2 + 2*(2*a^3 + a*b^2)*cosh(x)^2 + 2*(3*a*b^2*cosh(x)^2 + 6*a^2*b*cosh(x) + 2*a^3 + a*b^2)*sinh(x)^2 + 4*(a*b^2*cosh(x)^3 + 3*a^2*b*cosh(x)^2 + a^2*b + (2*a^3 + a*b^2)*cosh(x))*sinh(x))*sqrt(a^2 - b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 - b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 - b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) + b)) + 6*(a^3*b - a*b^3)*cosh(x) + 2*(3*a^3*b - 3*a*b^3 + 3*(a^3*b - a*b^3)*cosh(x)^2 + 2*(2*a^4 - a^2*b^2 - b^4 - 2*(a^4 - 2*a^2*b^2 + b^4)*x)*cosh(x))*sinh(x))/(a^4*b^3 - 2*a^2*b^5 + b^7 + (a^4*b^3 - 2*a^2*b^5 + b^7)*cosh(x)^4 + (a^4*b^3 - 2*a^2*b^5 + b^7)*sinh(x)^4 + 4*(a^5*b^2 - 2*a^3*b^4 + a*b^6)*cosh(x)^3 + 4*(a^5*b^2 - 2*a^3*b^4 + a*b^6 + (a^4*b^3 - 2*a^2*b^5 + b^7)*cosh(x))*sinh(x)^3 + 2*(2*a^6*b - 3*a^4*b^3 + b^7)*cosh(x)^2 + 2*(2*a^6*b - 3*a^4*b^3 + b^7 + 3*(a^4*b^3 - 2*a^2*b^5 + b^7)*cosh(x)^2 + 6*(a^5*b^2 - 2*a^3*b^4 + a*b^6)*cosh(x))*sinh(x)^2 + 4*(a^5*b^2 - 2*a^3*b^4 + a*b^6)*cosh(x) + 4*(a^5*b^2 - 2*a^3*b^4 + a*b^6 + (a^4*b^3 - 2*a^2*b^5 + b^7)*cosh(x)^3 + 3*(a^5*b^2 - 2*a^3*b^4 + a*b^6)*cosh(x)^2 + (2*a^6*b - 3*a^4*b^3 + b^7)*cosh(x))*sinh(x)), (a^2*b^2 - b^4 + (a^3*b - a*b^3)*cosh(x)^3 + (a^3*b - a*b^3)*sinh(x)^3 + (2*a^4 - a^2*b^2 - b^4 - 2*(a^4 - 2*a^2*b^2 + b^4)*x)*cosh(x)^2 + (2*a^4 - a^2*b^2 - b^4 - 2*(a^4 - 2*a^2*b^2 + b^4)*x + 3*(a^3*b - a*b^3)*cosh(x))*sinh(x)^2 - (a*b^2*cosh(x)^4 + a*b^2*sinh(x)^4 + 4*a^2*b*cosh(x)^3 + 4*a^2*b*cosh(x) + 4*(a*b^2*cosh(x) + a^2*b)*sinh(x)^3 + a*b^2 + 2*(2*a^3 + a*b^2)*cosh(x)^2 + 2*(3*a*b^2*cosh(x)^2 + 6*a^2*b*cosh(x) + 2*a^3 + a*b^2)*sinh(x)^2 + 4*(a*b^2*cosh(x)^3 + 3*a^2*b*cosh(x)^2 + a^2*b + (2*a^3 + a*b^2)*cosh(x))*sinh(x))*sqrt(-a^2 + b^2)*arctan(-sqrt(-a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a)/(a^2 - b^2)) + 3*(a^3*b - a*b^3)*cosh(x) + (3*a^3*b - 3*a*b^3 + 3*(a^3*b - a*b^3)*cosh(x)^2 + 2*(2*a^4 - a^2*b^2 - b^4 - 2*(a^4 - 2*a^2*b^2 + b^4)*x)*cosh(x))*sinh(x))/(a^4*b^3 - 2*a^2*b^5 + b^7 + (a^4*b^3 - 2*a^2*b^5 + b^7)*cosh(x)^4 + (a^4*b^3 - 2*a^2*b^5 + b^7)*sinh(x)^4 + 4*(a^5*b^2 - 2*a^3*b^4 + a*b^6)*cosh(x)^3 + 4*(a^5*b^2 - 2*a^3*b^4 + a*b^6 + (a^4*b^3 - 2*a^2*b^5 + b^7)*cosh(x))*sinh(x)^3 + 2*(2*a^6*b - 3*a^4*b^3 + b^7)*cosh(x)^2 + 2*(2*a^6*b - 3*a^4*b^3 + b^7 + 3*(a^4*b^3 - 2*a^2*b^5 + b^7)*cosh(x)^2 + 6*(a^5*b^2 - 2*a^3*b^4 + a*b^6)*cosh(x))*sinh(x)^2 + 4*(a^5*b^2 - 2*a^3*b^4 + a*b^6)*cosh(x) + 4*(a^5*b^2 - 2*a^3*b^4 + a*b^6 + (a^4*b^3 - 2*a^2*b^5 + b^7)*cosh(x)^3 + 3*(a^5*b^2 - 2*a^3*b^4 + a*b^6)*cosh(x)^2 + (2*a^6*b - 3*a^4*b^3 + b^7)*cosh(x))*sinh(x))]","B",0
220,1,67,0,0.499590," ","integrate((2+cosh(b*x+a)^2)*sinh(b*x+a)/x,x, algorithm=""fricas"")","\frac{1}{8} \, {\left({\rm Ei}\left(3 \, b x\right) - {\rm Ei}\left(-3 \, b x\right)\right)} \cosh\left(3 \, a\right) + \frac{9}{8} \, {\left({\rm Ei}\left(b x\right) - {\rm Ei}\left(-b x\right)\right)} \cosh\left(a\right) + \frac{1}{8} \, {\left({\rm Ei}\left(3 \, b x\right) + {\rm Ei}\left(-3 \, b x\right)\right)} \sinh\left(3 \, a\right) + \frac{9}{8} \, {\left({\rm Ei}\left(b x\right) + {\rm Ei}\left(-b x\right)\right)} \sinh\left(a\right)"," ",0,"1/8*(Ei(3*b*x) - Ei(-3*b*x))*cosh(3*a) + 9/8*(Ei(b*x) - Ei(-b*x))*cosh(a) + 1/8*(Ei(3*b*x) + Ei(-3*b*x))*sinh(3*a) + 9/8*(Ei(b*x) + Ei(-b*x))*sinh(a)","A",0
221,0,0,0,2.070000," ","integrate(x^m*sinh(d*x+c)/(a+b*cosh(d*x+c)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{m} \sinh\left(d x + c\right)}{b \cosh\left(d x + c\right) + a}, x\right)"," ",0,"integral(x^m*sinh(d*x + c)/(b*cosh(d*x + c) + a), x)","F",0
222,1,624,0,0.570370," ","integrate(x^3*sinh(d*x+c)/(a+b*cosh(d*x+c)),x, algorithm=""fricas"")","-\frac{d^{4} x^{4} - 12 \, d^{2} x^{2} {\rm Li}_2\left(-\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) + {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + b}{b} + 1\right) - 12 \, d^{2} x^{2} {\rm Li}_2\left(-\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) - {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + b}{b} + 1\right) + 4 \, c^{3} \log\left(2 \, b \cosh\left(d x + c\right) + 2 \, b \sinh\left(d x + c\right) + 2 \, b \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + 2 \, a\right) + 4 \, c^{3} \log\left(2 \, b \cosh\left(d x + c\right) + 2 \, b \sinh\left(d x + c\right) - 2 \, b \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + 2 \, a\right) + 24 \, d x {\rm polylog}\left(3, -\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) + {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}}}{b}\right) + 24 \, d x {\rm polylog}\left(3, -\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) - {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}}}{b}\right) - 4 \, {\left(d^{3} x^{3} + c^{3}\right)} \log\left(\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) + {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + b}{b}\right) - 4 \, {\left(d^{3} x^{3} + c^{3}\right)} \log\left(\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) - {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + b}{b}\right) - 24 \, {\rm polylog}\left(4, -\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) + {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}}}{b}\right) - 24 \, {\rm polylog}\left(4, -\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) - {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}}}{b}\right)}{4 \, b d^{4}}"," ",0,"-1/4*(d^4*x^4 - 12*d^2*x^2*dilog(-(a*cosh(d*x + c) + a*sinh(d*x + c) + (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2) + b)/b + 1) - 12*d^2*x^2*dilog(-(a*cosh(d*x + c) + a*sinh(d*x + c) - (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2) + b)/b + 1) + 4*c^3*log(2*b*cosh(d*x + c) + 2*b*sinh(d*x + c) + 2*b*sqrt((a^2 - b^2)/b^2) + 2*a) + 4*c^3*log(2*b*cosh(d*x + c) + 2*b*sinh(d*x + c) - 2*b*sqrt((a^2 - b^2)/b^2) + 2*a) + 24*d*x*polylog(3, -(a*cosh(d*x + c) + a*sinh(d*x + c) + (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2))/b) + 24*d*x*polylog(3, -(a*cosh(d*x + c) + a*sinh(d*x + c) - (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2))/b) - 4*(d^3*x^3 + c^3)*log((a*cosh(d*x + c) + a*sinh(d*x + c) + (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2) + b)/b) - 4*(d^3*x^3 + c^3)*log((a*cosh(d*x + c) + a*sinh(d*x + c) - (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2) + b)/b) - 24*polylog(4, -(a*cosh(d*x + c) + a*sinh(d*x + c) + (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2))/b) - 24*polylog(4, -(a*cosh(d*x + c) + a*sinh(d*x + c) - (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2))/b))/(b*d^4)","C",0
223,1,497,0,0.654283," ","integrate(x^2*sinh(d*x+c)/(a+b*cosh(d*x+c)),x, algorithm=""fricas"")","-\frac{d^{3} x^{3} - 6 \, d x {\rm Li}_2\left(-\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) + {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + b}{b} + 1\right) - 6 \, d x {\rm Li}_2\left(-\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) - {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + b}{b} + 1\right) - 3 \, c^{2} \log\left(2 \, b \cosh\left(d x + c\right) + 2 \, b \sinh\left(d x + c\right) + 2 \, b \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + 2 \, a\right) - 3 \, c^{2} \log\left(2 \, b \cosh\left(d x + c\right) + 2 \, b \sinh\left(d x + c\right) - 2 \, b \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + 2 \, a\right) - 3 \, {\left(d^{2} x^{2} - c^{2}\right)} \log\left(\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) + {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + b}{b}\right) - 3 \, {\left(d^{2} x^{2} - c^{2}\right)} \log\left(\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) - {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + b}{b}\right) + 6 \, {\rm polylog}\left(3, -\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) + {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}}}{b}\right) + 6 \, {\rm polylog}\left(3, -\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) - {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}}}{b}\right)}{3 \, b d^{3}}"," ",0,"-1/3*(d^3*x^3 - 6*d*x*dilog(-(a*cosh(d*x + c) + a*sinh(d*x + c) + (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2) + b)/b + 1) - 6*d*x*dilog(-(a*cosh(d*x + c) + a*sinh(d*x + c) - (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2) + b)/b + 1) - 3*c^2*log(2*b*cosh(d*x + c) + 2*b*sinh(d*x + c) + 2*b*sqrt((a^2 - b^2)/b^2) + 2*a) - 3*c^2*log(2*b*cosh(d*x + c) + 2*b*sinh(d*x + c) - 2*b*sqrt((a^2 - b^2)/b^2) + 2*a) - 3*(d^2*x^2 - c^2)*log((a*cosh(d*x + c) + a*sinh(d*x + c) + (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2) + b)/b) - 3*(d^2*x^2 - c^2)*log((a*cosh(d*x + c) + a*sinh(d*x + c) - (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2) + b)/b) + 6*polylog(3, -(a*cosh(d*x + c) + a*sinh(d*x + c) + (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2))/b) + 6*polylog(3, -(a*cosh(d*x + c) + a*sinh(d*x + c) - (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2))/b))/(b*d^3)","C",0
224,1,354,0,1.633318," ","integrate(x*sinh(d*x+c)/(a+b*cosh(d*x+c)),x, algorithm=""fricas"")","-\frac{d^{2} x^{2} + 2 \, c \log\left(2 \, b \cosh\left(d x + c\right) + 2 \, b \sinh\left(d x + c\right) + 2 \, b \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + 2 \, a\right) + 2 \, c \log\left(2 \, b \cosh\left(d x + c\right) + 2 \, b \sinh\left(d x + c\right) - 2 \, b \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + 2 \, a\right) - 2 \, {\left(d x + c\right)} \log\left(\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) + {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + b}{b}\right) - 2 \, {\left(d x + c\right)} \log\left(\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) - {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + b}{b}\right) - 2 \, {\rm Li}_2\left(-\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) + {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + b}{b} + 1\right) - 2 \, {\rm Li}_2\left(-\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) - {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + b}{b} + 1\right)}{2 \, b d^{2}}"," ",0,"-1/2*(d^2*x^2 + 2*c*log(2*b*cosh(d*x + c) + 2*b*sinh(d*x + c) + 2*b*sqrt((a^2 - b^2)/b^2) + 2*a) + 2*c*log(2*b*cosh(d*x + c) + 2*b*sinh(d*x + c) - 2*b*sqrt((a^2 - b^2)/b^2) + 2*a) - 2*(d*x + c)*log((a*cosh(d*x + c) + a*sinh(d*x + c) + (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2) + b)/b) - 2*(d*x + c)*log((a*cosh(d*x + c) + a*sinh(d*x + c) - (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2) + b)/b) - 2*dilog(-(a*cosh(d*x + c) + a*sinh(d*x + c) + (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2) + b)/b + 1) - 2*dilog(-(a*cosh(d*x + c) + a*sinh(d*x + c) - (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2) + b)/b + 1))/(b*d^2)","B",0
225,1,44,0,1.002906," ","integrate(sinh(d*x+c)/(a+b*cosh(d*x+c)),x, algorithm=""fricas"")","-\frac{d x - \log\left(\frac{2 \, {\left(b \cosh\left(d x + c\right) + a\right)}}{\cosh\left(d x + c\right) - \sinh\left(d x + c\right)}\right)}{b d}"," ",0,"-(d*x - log(2*(b*cosh(d*x + c) + a)/(cosh(d*x + c) - sinh(d*x + c))))/(b*d)","B",0
226,0,0,0,0.613135," ","integrate(sinh(d*x+c)/x/(a+b*cosh(d*x+c)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sinh\left(d x + c\right)}{b x \cosh\left(d x + c\right) + a x}, x\right)"," ",0,"integral(sinh(d*x + c)/(b*x*cosh(d*x + c) + a*x), x)","F",0
227,0,0,0,0.525678," ","integrate(x^m*sinh(d*x+c)^2/(a+b*cosh(d*x+c)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{m} \sinh\left(d x + c\right)^{2}}{b \cosh\left(d x + c\right) + a}, x\right)"," ",0,"integral(x^m*sinh(d*x + c)^2/(b*cosh(d*x + c) + a), x)","F",0
228,1,1174,0,0.686691," ","integrate(x^3*sinh(d*x+c)^2/(a+b*cosh(d*x+c)),x, algorithm=""fricas"")","-\frac{a d^{4} x^{4} \cosh\left(d x + c\right) + 2 \, b d^{3} x^{3} + 6 \, b d^{2} x^{2} + 12 \, b d x - 2 \, {\left(b d^{3} x^{3} - 3 \, b d^{2} x^{2} + 6 \, b d x - 6 \, b\right)} \cosh\left(d x + c\right)^{2} - 2 \, {\left(b d^{3} x^{3} - 3 \, b d^{2} x^{2} + 6 \, b d x - 6 \, b\right)} \sinh\left(d x + c\right)^{2} - 12 \, {\left(b d^{2} x^{2} \cosh\left(d x + c\right) + b d^{2} x^{2} \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} {\rm Li}_2\left(-\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) + {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + b}{b} + 1\right) + 12 \, {\left(b d^{2} x^{2} \cosh\left(d x + c\right) + b d^{2} x^{2} \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} {\rm Li}_2\left(-\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) - {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + b}{b} + 1\right) - 4 \, {\left(b c^{3} \cosh\left(d x + c\right) + b c^{3} \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} \log\left(2 \, b \cosh\left(d x + c\right) + 2 \, b \sinh\left(d x + c\right) + 2 \, b \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + 2 \, a\right) + 4 \, {\left(b c^{3} \cosh\left(d x + c\right) + b c^{3} \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} \log\left(2 \, b \cosh\left(d x + c\right) + 2 \, b \sinh\left(d x + c\right) - 2 \, b \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + 2 \, a\right) - 4 \, {\left({\left(b d^{3} x^{3} + b c^{3}\right)} \cosh\left(d x + c\right) + {\left(b d^{3} x^{3} + b c^{3}\right)} \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} \log\left(\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) + {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + b}{b}\right) + 4 \, {\left({\left(b d^{3} x^{3} + b c^{3}\right)} \cosh\left(d x + c\right) + {\left(b d^{3} x^{3} + b c^{3}\right)} \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} \log\left(\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) - {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + b}{b}\right) - 24 \, {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} {\rm polylog}\left(4, -\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) + {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}}}{b}\right) + 24 \, {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} {\rm polylog}\left(4, -\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) - {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}}}{b}\right) + 24 \, {\left(b d x \cosh\left(d x + c\right) + b d x \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} {\rm polylog}\left(3, -\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) + {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}}}{b}\right) - 24 \, {\left(b d x \cosh\left(d x + c\right) + b d x \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} {\rm polylog}\left(3, -\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) - {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}}}{b}\right) + {\left(a d^{4} x^{4} - 4 \, {\left(b d^{3} x^{3} - 3 \, b d^{2} x^{2} + 6 \, b d x - 6 \, b\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) + 12 \, b}{4 \, {\left(b^{2} d^{4} \cosh\left(d x + c\right) + b^{2} d^{4} \sinh\left(d x + c\right)\right)}}"," ",0,"-1/4*(a*d^4*x^4*cosh(d*x + c) + 2*b*d^3*x^3 + 6*b*d^2*x^2 + 12*b*d*x - 2*(b*d^3*x^3 - 3*b*d^2*x^2 + 6*b*d*x - 6*b)*cosh(d*x + c)^2 - 2*(b*d^3*x^3 - 3*b*d^2*x^2 + 6*b*d*x - 6*b)*sinh(d*x + c)^2 - 12*(b*d^2*x^2*cosh(d*x + c) + b*d^2*x^2*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2)*dilog(-(a*cosh(d*x + c) + a*sinh(d*x + c) + (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2) + b)/b + 1) + 12*(b*d^2*x^2*cosh(d*x + c) + b*d^2*x^2*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2)*dilog(-(a*cosh(d*x + c) + a*sinh(d*x + c) - (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2) + b)/b + 1) - 4*(b*c^3*cosh(d*x + c) + b*c^3*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2)*log(2*b*cosh(d*x + c) + 2*b*sinh(d*x + c) + 2*b*sqrt((a^2 - b^2)/b^2) + 2*a) + 4*(b*c^3*cosh(d*x + c) + b*c^3*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2)*log(2*b*cosh(d*x + c) + 2*b*sinh(d*x + c) - 2*b*sqrt((a^2 - b^2)/b^2) + 2*a) - 4*((b*d^3*x^3 + b*c^3)*cosh(d*x + c) + (b*d^3*x^3 + b*c^3)*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2)*log((a*cosh(d*x + c) + a*sinh(d*x + c) + (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2) + b)/b) + 4*((b*d^3*x^3 + b*c^3)*cosh(d*x + c) + (b*d^3*x^3 + b*c^3)*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2)*log((a*cosh(d*x + c) + a*sinh(d*x + c) - (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2) + b)/b) - 24*(b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2)*polylog(4, -(a*cosh(d*x + c) + a*sinh(d*x + c) + (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2))/b) + 24*(b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2)*polylog(4, -(a*cosh(d*x + c) + a*sinh(d*x + c) - (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2))/b) + 24*(b*d*x*cosh(d*x + c) + b*d*x*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2)*polylog(3, -(a*cosh(d*x + c) + a*sinh(d*x + c) + (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2))/b) - 24*(b*d*x*cosh(d*x + c) + b*d*x*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2)*polylog(3, -(a*cosh(d*x + c) + a*sinh(d*x + c) - (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2))/b) + (a*d^4*x^4 - 4*(b*d^3*x^3 - 3*b*d^2*x^2 + 6*b*d*x - 6*b)*cosh(d*x + c))*sinh(d*x + c) + 12*b)/(b^2*d^4*cosh(d*x + c) + b^2*d^4*sinh(d*x + c))","C",0
229,1,937,0,1.700964," ","integrate(x^2*sinh(d*x+c)^2/(a+b*cosh(d*x+c)),x, algorithm=""fricas"")","-\frac{2 \, a d^{3} x^{3} \cosh\left(d x + c\right) + 3 \, b d^{2} x^{2} + 6 \, b d x - 3 \, {\left(b d^{2} x^{2} - 2 \, b d x + 2 \, b\right)} \cosh\left(d x + c\right)^{2} - 3 \, {\left(b d^{2} x^{2} - 2 \, b d x + 2 \, b\right)} \sinh\left(d x + c\right)^{2} - 12 \, {\left(b d x \cosh\left(d x + c\right) + b d x \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} {\rm Li}_2\left(-\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) + {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + b}{b} + 1\right) + 12 \, {\left(b d x \cosh\left(d x + c\right) + b d x \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} {\rm Li}_2\left(-\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) - {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + b}{b} + 1\right) + 6 \, {\left(b c^{2} \cosh\left(d x + c\right) + b c^{2} \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} \log\left(2 \, b \cosh\left(d x + c\right) + 2 \, b \sinh\left(d x + c\right) + 2 \, b \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + 2 \, a\right) - 6 \, {\left(b c^{2} \cosh\left(d x + c\right) + b c^{2} \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} \log\left(2 \, b \cosh\left(d x + c\right) + 2 \, b \sinh\left(d x + c\right) - 2 \, b \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + 2 \, a\right) - 6 \, {\left({\left(b d^{2} x^{2} - b c^{2}\right)} \cosh\left(d x + c\right) + {\left(b d^{2} x^{2} - b c^{2}\right)} \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} \log\left(\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) + {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + b}{b}\right) + 6 \, {\left({\left(b d^{2} x^{2} - b c^{2}\right)} \cosh\left(d x + c\right) + {\left(b d^{2} x^{2} - b c^{2}\right)} \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} \log\left(\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) - {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + b}{b}\right) + 12 \, {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} {\rm polylog}\left(3, -\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) + {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}}}{b}\right) - 12 \, {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} {\rm polylog}\left(3, -\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) - {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}}}{b}\right) + 2 \, {\left(a d^{3} x^{3} - 3 \, {\left(b d^{2} x^{2} - 2 \, b d x + 2 \, b\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) + 6 \, b}{6 \, {\left(b^{2} d^{3} \cosh\left(d x + c\right) + b^{2} d^{3} \sinh\left(d x + c\right)\right)}}"," ",0,"-1/6*(2*a*d^3*x^3*cosh(d*x + c) + 3*b*d^2*x^2 + 6*b*d*x - 3*(b*d^2*x^2 - 2*b*d*x + 2*b)*cosh(d*x + c)^2 - 3*(b*d^2*x^2 - 2*b*d*x + 2*b)*sinh(d*x + c)^2 - 12*(b*d*x*cosh(d*x + c) + b*d*x*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2)*dilog(-(a*cosh(d*x + c) + a*sinh(d*x + c) + (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2) + b)/b + 1) + 12*(b*d*x*cosh(d*x + c) + b*d*x*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2)*dilog(-(a*cosh(d*x + c) + a*sinh(d*x + c) - (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2) + b)/b + 1) + 6*(b*c^2*cosh(d*x + c) + b*c^2*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2)*log(2*b*cosh(d*x + c) + 2*b*sinh(d*x + c) + 2*b*sqrt((a^2 - b^2)/b^2) + 2*a) - 6*(b*c^2*cosh(d*x + c) + b*c^2*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2)*log(2*b*cosh(d*x + c) + 2*b*sinh(d*x + c) - 2*b*sqrt((a^2 - b^2)/b^2) + 2*a) - 6*((b*d^2*x^2 - b*c^2)*cosh(d*x + c) + (b*d^2*x^2 - b*c^2)*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2)*log((a*cosh(d*x + c) + a*sinh(d*x + c) + (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2) + b)/b) + 6*((b*d^2*x^2 - b*c^2)*cosh(d*x + c) + (b*d^2*x^2 - b*c^2)*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2)*log((a*cosh(d*x + c) + a*sinh(d*x + c) - (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2) + b)/b) + 12*(b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2)*polylog(3, -(a*cosh(d*x + c) + a*sinh(d*x + c) + (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2))/b) - 12*(b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2)*polylog(3, -(a*cosh(d*x + c) + a*sinh(d*x + c) - (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2))/b) + 2*(a*d^3*x^3 - 3*(b*d^2*x^2 - 2*b*d*x + 2*b)*cosh(d*x + c))*sinh(d*x + c) + 6*b)/(b^2*d^3*cosh(d*x + c) + b^2*d^3*sinh(d*x + c))","C",0
230,1,669,0,0.732956," ","integrate(x*sinh(d*x+c)^2/(a+b*cosh(d*x+c)),x, algorithm=""fricas"")","-\frac{a d^{2} x^{2} \cosh\left(d x + c\right) + b d x - {\left(b d x - b\right)} \cosh\left(d x + c\right)^{2} - {\left(b d x - b\right)} \sinh\left(d x + c\right)^{2} - 2 \, {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} {\rm Li}_2\left(-\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) + {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + b}{b} + 1\right) + 2 \, {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} {\rm Li}_2\left(-\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) - {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + b}{b} + 1\right) - 2 \, {\left(b c \cosh\left(d x + c\right) + b c \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} \log\left(2 \, b \cosh\left(d x + c\right) + 2 \, b \sinh\left(d x + c\right) + 2 \, b \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + 2 \, a\right) + 2 \, {\left(b c \cosh\left(d x + c\right) + b c \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} \log\left(2 \, b \cosh\left(d x + c\right) + 2 \, b \sinh\left(d x + c\right) - 2 \, b \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + 2 \, a\right) - 2 \, {\left({\left(b d x + b c\right)} \cosh\left(d x + c\right) + {\left(b d x + b c\right)} \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} \log\left(\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) + {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + b}{b}\right) + 2 \, {\left({\left(b d x + b c\right)} \cosh\left(d x + c\right) + {\left(b d x + b c\right)} \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} \log\left(\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) - {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + b}{b}\right) + {\left(a d^{2} x^{2} - 2 \, {\left(b d x - b\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) + b}{2 \, {\left(b^{2} d^{2} \cosh\left(d x + c\right) + b^{2} d^{2} \sinh\left(d x + c\right)\right)}}"," ",0,"-1/2*(a*d^2*x^2*cosh(d*x + c) + b*d*x - (b*d*x - b)*cosh(d*x + c)^2 - (b*d*x - b)*sinh(d*x + c)^2 - 2*(b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2)*dilog(-(a*cosh(d*x + c) + a*sinh(d*x + c) + (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2) + b)/b + 1) + 2*(b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2)*dilog(-(a*cosh(d*x + c) + a*sinh(d*x + c) - (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2) + b)/b + 1) - 2*(b*c*cosh(d*x + c) + b*c*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2)*log(2*b*cosh(d*x + c) + 2*b*sinh(d*x + c) + 2*b*sqrt((a^2 - b^2)/b^2) + 2*a) + 2*(b*c*cosh(d*x + c) + b*c*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2)*log(2*b*cosh(d*x + c) + 2*b*sinh(d*x + c) - 2*b*sqrt((a^2 - b^2)/b^2) + 2*a) - 2*((b*d*x + b*c)*cosh(d*x + c) + (b*d*x + b*c)*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2)*log((a*cosh(d*x + c) + a*sinh(d*x + c) + (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2) + b)/b) + 2*((b*d*x + b*c)*cosh(d*x + c) + (b*d*x + b*c)*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2)*log((a*cosh(d*x + c) + a*sinh(d*x + c) - (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2) + b)/b) + (a*d^2*x^2 - 2*(b*d*x - b)*cosh(d*x + c))*sinh(d*x + c) + b)/(b^2*d^2*cosh(d*x + c) + b^2*d^2*sinh(d*x + c))","B",0
231,1,415,0,0.501672," ","integrate(sinh(d*x+c)^2/(a+b*cosh(d*x+c)),x, algorithm=""fricas"")","\left[-\frac{2 \, a d x \cosh\left(d x + c\right) - b \cosh\left(d x + c\right)^{2} - b \sinh\left(d x + c\right)^{2} - 2 \, \sqrt{a^{2} - b^{2}} {\left(\cosh\left(d x + c\right) + \sinh\left(d x + c\right)\right)} \log\left(\frac{b^{2} \cosh\left(d x + c\right)^{2} + b^{2} \sinh\left(d x + c\right)^{2} + 2 \, a b \cosh\left(d x + c\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(d x + c\right) + a b\right)} \sinh\left(d x + c\right) - 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + a\right)}}{b \cosh\left(d x + c\right)^{2} + b \sinh\left(d x + c\right)^{2} + 2 \, a \cosh\left(d x + c\right) + 2 \, {\left(b \cosh\left(d x + c\right) + a\right)} \sinh\left(d x + c\right) + b}\right) + 2 \, {\left(a d x - b \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) + b}{2 \, {\left(b^{2} d \cosh\left(d x + c\right) + b^{2} d \sinh\left(d x + c\right)\right)}}, -\frac{2 \, a d x \cosh\left(d x + c\right) - b \cosh\left(d x + c\right)^{2} - b \sinh\left(d x + c\right)^{2} + 4 \, \sqrt{-a^{2} + b^{2}} {\left(\cosh\left(d x + c\right) + \sinh\left(d x + c\right)\right)} \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + a\right)}}{a^{2} - b^{2}}\right) + 2 \, {\left(a d x - b \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) + b}{2 \, {\left(b^{2} d \cosh\left(d x + c\right) + b^{2} d \sinh\left(d x + c\right)\right)}}\right]"," ",0,"[-1/2*(2*a*d*x*cosh(d*x + c) - b*cosh(d*x + c)^2 - b*sinh(d*x + c)^2 - 2*sqrt(a^2 - b^2)*(cosh(d*x + c) + sinh(d*x + c))*log((b^2*cosh(d*x + c)^2 + b^2*sinh(d*x + c)^2 + 2*a*b*cosh(d*x + c) + 2*a^2 - b^2 + 2*(b^2*cosh(d*x + c) + a*b)*sinh(d*x + c) - 2*sqrt(a^2 - b^2)*(b*cosh(d*x + c) + b*sinh(d*x + c) + a))/(b*cosh(d*x + c)^2 + b*sinh(d*x + c)^2 + 2*a*cosh(d*x + c) + 2*(b*cosh(d*x + c) + a)*sinh(d*x + c) + b)) + 2*(a*d*x - b*cosh(d*x + c))*sinh(d*x + c) + b)/(b^2*d*cosh(d*x + c) + b^2*d*sinh(d*x + c)), -1/2*(2*a*d*x*cosh(d*x + c) - b*cosh(d*x + c)^2 - b*sinh(d*x + c)^2 + 4*sqrt(-a^2 + b^2)*(cosh(d*x + c) + sinh(d*x + c))*arctan(-sqrt(-a^2 + b^2)*(b*cosh(d*x + c) + b*sinh(d*x + c) + a)/(a^2 - b^2)) + 2*(a*d*x - b*cosh(d*x + c))*sinh(d*x + c) + b)/(b^2*d*cosh(d*x + c) + b^2*d*sinh(d*x + c))]","B",0
232,0,0,0,0.583373," ","integrate(sinh(d*x+c)^2/x/(a+b*cosh(d*x+c)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sinh\left(d x + c\right)^{2}}{b x \cosh\left(d x + c\right) + a x}, x\right)"," ",0,"integral(sinh(d*x + c)^2/(b*x*cosh(d*x + c) + a*x), x)","F",0
233,0,0,0,0.443797," ","integrate(x^m*sinh(d*x+c)^3/(a+b*cosh(d*x+c)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{m} \sinh\left(d x + c\right)^{3}}{b \cosh\left(d x + c\right) + a}, x\right)"," ",0,"integral(x^m*sinh(d*x + c)^3/(b*cosh(d*x + c) + a), x)","F",0
234,1,2025,0,0.528676," ","integrate(x^3*sinh(d*x+c)^3/(a+b*cosh(d*x+c)),x, algorithm=""fricas"")","\frac{4 \, b^{2} d^{3} x^{3} + 6 \, b^{2} d^{2} x^{2} + {\left(4 \, b^{2} d^{3} x^{3} - 6 \, b^{2} d^{2} x^{2} + 6 \, b^{2} d x - 3 \, b^{2}\right)} \cosh\left(d x + c\right)^{4} + {\left(4 \, b^{2} d^{3} x^{3} - 6 \, b^{2} d^{2} x^{2} + 6 \, b^{2} d x - 3 \, b^{2}\right)} \sinh\left(d x + c\right)^{4} + 6 \, b^{2} d x - 16 \, {\left(a b d^{3} x^{3} - 3 \, a b d^{2} x^{2} + 6 \, a b d x - 6 \, a b\right)} \cosh\left(d x + c\right)^{3} - 4 \, {\left(4 \, a b d^{3} x^{3} - 12 \, a b d^{2} x^{2} + 24 \, a b d x - 24 \, a b - {\left(4 \, b^{2} d^{3} x^{3} - 6 \, b^{2} d^{2} x^{2} + 6 \, b^{2} d x - 3 \, b^{2}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} - 8 \, {\left({\left(a^{2} - b^{2}\right)} d^{4} x^{4} - 2 \, {\left(a^{2} - b^{2}\right)} c^{4}\right)} \cosh\left(d x + c\right)^{2} - 2 \, {\left(4 \, {\left(a^{2} - b^{2}\right)} d^{4} x^{4} - 8 \, {\left(a^{2} - b^{2}\right)} c^{4} - 3 \, {\left(4 \, b^{2} d^{3} x^{3} - 6 \, b^{2} d^{2} x^{2} + 6 \, b^{2} d x - 3 \, b^{2}\right)} \cosh\left(d x + c\right)^{2} + 24 \, {\left(a b d^{3} x^{3} - 3 \, a b d^{2} x^{2} + 6 \, a b d x - 6 \, a b\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{2} + 3 \, b^{2} - 16 \, {\left(a b d^{3} x^{3} + 3 \, a b d^{2} x^{2} + 6 \, a b d x + 6 \, a b\right)} \cosh\left(d x + c\right) + 96 \, {\left({\left(a^{2} - b^{2}\right)} d^{2} x^{2} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a^{2} - b^{2}\right)} d^{2} x^{2} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a^{2} - b^{2}\right)} d^{2} x^{2} \sinh\left(d x + c\right)^{2}\right)} {\rm Li}_2\left(-\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) + {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + b}{b} + 1\right) + 96 \, {\left({\left(a^{2} - b^{2}\right)} d^{2} x^{2} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a^{2} - b^{2}\right)} d^{2} x^{2} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a^{2} - b^{2}\right)} d^{2} x^{2} \sinh\left(d x + c\right)^{2}\right)} {\rm Li}_2\left(-\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) - {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + b}{b} + 1\right) - 32 \, {\left({\left(a^{2} - b^{2}\right)} c^{3} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a^{2} - b^{2}\right)} c^{3} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a^{2} - b^{2}\right)} c^{3} \sinh\left(d x + c\right)^{2}\right)} \log\left(2 \, b \cosh\left(d x + c\right) + 2 \, b \sinh\left(d x + c\right) + 2 \, b \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + 2 \, a\right) - 32 \, {\left({\left(a^{2} - b^{2}\right)} c^{3} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a^{2} - b^{2}\right)} c^{3} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a^{2} - b^{2}\right)} c^{3} \sinh\left(d x + c\right)^{2}\right)} \log\left(2 \, b \cosh\left(d x + c\right) + 2 \, b \sinh\left(d x + c\right) - 2 \, b \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + 2 \, a\right) + 32 \, {\left({\left({\left(a^{2} - b^{2}\right)} d^{3} x^{3} + {\left(a^{2} - b^{2}\right)} c^{3}\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left({\left(a^{2} - b^{2}\right)} d^{3} x^{3} + {\left(a^{2} - b^{2}\right)} c^{3}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left({\left(a^{2} - b^{2}\right)} d^{3} x^{3} + {\left(a^{2} - b^{2}\right)} c^{3}\right)} \sinh\left(d x + c\right)^{2}\right)} \log\left(\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) + {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + b}{b}\right) + 32 \, {\left({\left({\left(a^{2} - b^{2}\right)} d^{3} x^{3} + {\left(a^{2} - b^{2}\right)} c^{3}\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left({\left(a^{2} - b^{2}\right)} d^{3} x^{3} + {\left(a^{2} - b^{2}\right)} c^{3}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left({\left(a^{2} - b^{2}\right)} d^{3} x^{3} + {\left(a^{2} - b^{2}\right)} c^{3}\right)} \sinh\left(d x + c\right)^{2}\right)} \log\left(\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) - {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + b}{b}\right) + 192 \, {\left({\left(a^{2} - b^{2}\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a^{2} - b^{2}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a^{2} - b^{2}\right)} \sinh\left(d x + c\right)^{2}\right)} {\rm polylog}\left(4, -\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) + {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}}}{b}\right) + 192 \, {\left({\left(a^{2} - b^{2}\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a^{2} - b^{2}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a^{2} - b^{2}\right)} \sinh\left(d x + c\right)^{2}\right)} {\rm polylog}\left(4, -\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) - {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}}}{b}\right) - 192 \, {\left({\left(a^{2} - b^{2}\right)} d x \cosh\left(d x + c\right)^{2} + 2 \, {\left(a^{2} - b^{2}\right)} d x \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a^{2} - b^{2}\right)} d x \sinh\left(d x + c\right)^{2}\right)} {\rm polylog}\left(3, -\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) + {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}}}{b}\right) - 192 \, {\left({\left(a^{2} - b^{2}\right)} d x \cosh\left(d x + c\right)^{2} + 2 \, {\left(a^{2} - b^{2}\right)} d x \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a^{2} - b^{2}\right)} d x \sinh\left(d x + c\right)^{2}\right)} {\rm polylog}\left(3, -\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) - {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}}}{b}\right) - 4 \, {\left(4 \, a b d^{3} x^{3} + 12 \, a b d^{2} x^{2} + 24 \, a b d x - {\left(4 \, b^{2} d^{3} x^{3} - 6 \, b^{2} d^{2} x^{2} + 6 \, b^{2} d x - 3 \, b^{2}\right)} \cosh\left(d x + c\right)^{3} + 12 \, {\left(a b d^{3} x^{3} - 3 \, a b d^{2} x^{2} + 6 \, a b d x - 6 \, a b\right)} \cosh\left(d x + c\right)^{2} + 24 \, a b + 4 \, {\left({\left(a^{2} - b^{2}\right)} d^{4} x^{4} - 2 \, {\left(a^{2} - b^{2}\right)} c^{4}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}{32 \, {\left(b^{3} d^{4} \cosh\left(d x + c\right)^{2} + 2 \, b^{3} d^{4} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + b^{3} d^{4} \sinh\left(d x + c\right)^{2}\right)}}"," ",0,"1/32*(4*b^2*d^3*x^3 + 6*b^2*d^2*x^2 + (4*b^2*d^3*x^3 - 6*b^2*d^2*x^2 + 6*b^2*d*x - 3*b^2)*cosh(d*x + c)^4 + (4*b^2*d^3*x^3 - 6*b^2*d^2*x^2 + 6*b^2*d*x - 3*b^2)*sinh(d*x + c)^4 + 6*b^2*d*x - 16*(a*b*d^3*x^3 - 3*a*b*d^2*x^2 + 6*a*b*d*x - 6*a*b)*cosh(d*x + c)^3 - 4*(4*a*b*d^3*x^3 - 12*a*b*d^2*x^2 + 24*a*b*d*x - 24*a*b - (4*b^2*d^3*x^3 - 6*b^2*d^2*x^2 + 6*b^2*d*x - 3*b^2)*cosh(d*x + c))*sinh(d*x + c)^3 - 8*((a^2 - b^2)*d^4*x^4 - 2*(a^2 - b^2)*c^4)*cosh(d*x + c)^2 - 2*(4*(a^2 - b^2)*d^4*x^4 - 8*(a^2 - b^2)*c^4 - 3*(4*b^2*d^3*x^3 - 6*b^2*d^2*x^2 + 6*b^2*d*x - 3*b^2)*cosh(d*x + c)^2 + 24*(a*b*d^3*x^3 - 3*a*b*d^2*x^2 + 6*a*b*d*x - 6*a*b)*cosh(d*x + c))*sinh(d*x + c)^2 + 3*b^2 - 16*(a*b*d^3*x^3 + 3*a*b*d^2*x^2 + 6*a*b*d*x + 6*a*b)*cosh(d*x + c) + 96*((a^2 - b^2)*d^2*x^2*cosh(d*x + c)^2 + 2*(a^2 - b^2)*d^2*x^2*cosh(d*x + c)*sinh(d*x + c) + (a^2 - b^2)*d^2*x^2*sinh(d*x + c)^2)*dilog(-(a*cosh(d*x + c) + a*sinh(d*x + c) + (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2) + b)/b + 1) + 96*((a^2 - b^2)*d^2*x^2*cosh(d*x + c)^2 + 2*(a^2 - b^2)*d^2*x^2*cosh(d*x + c)*sinh(d*x + c) + (a^2 - b^2)*d^2*x^2*sinh(d*x + c)^2)*dilog(-(a*cosh(d*x + c) + a*sinh(d*x + c) - (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2) + b)/b + 1) - 32*((a^2 - b^2)*c^3*cosh(d*x + c)^2 + 2*(a^2 - b^2)*c^3*cosh(d*x + c)*sinh(d*x + c) + (a^2 - b^2)*c^3*sinh(d*x + c)^2)*log(2*b*cosh(d*x + c) + 2*b*sinh(d*x + c) + 2*b*sqrt((a^2 - b^2)/b^2) + 2*a) - 32*((a^2 - b^2)*c^3*cosh(d*x + c)^2 + 2*(a^2 - b^2)*c^3*cosh(d*x + c)*sinh(d*x + c) + (a^2 - b^2)*c^3*sinh(d*x + c)^2)*log(2*b*cosh(d*x + c) + 2*b*sinh(d*x + c) - 2*b*sqrt((a^2 - b^2)/b^2) + 2*a) + 32*(((a^2 - b^2)*d^3*x^3 + (a^2 - b^2)*c^3)*cosh(d*x + c)^2 + 2*((a^2 - b^2)*d^3*x^3 + (a^2 - b^2)*c^3)*cosh(d*x + c)*sinh(d*x + c) + ((a^2 - b^2)*d^3*x^3 + (a^2 - b^2)*c^3)*sinh(d*x + c)^2)*log((a*cosh(d*x + c) + a*sinh(d*x + c) + (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2) + b)/b) + 32*(((a^2 - b^2)*d^3*x^3 + (a^2 - b^2)*c^3)*cosh(d*x + c)^2 + 2*((a^2 - b^2)*d^3*x^3 + (a^2 - b^2)*c^3)*cosh(d*x + c)*sinh(d*x + c) + ((a^2 - b^2)*d^3*x^3 + (a^2 - b^2)*c^3)*sinh(d*x + c)^2)*log((a*cosh(d*x + c) + a*sinh(d*x + c) - (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2) + b)/b) + 192*((a^2 - b^2)*cosh(d*x + c)^2 + 2*(a^2 - b^2)*cosh(d*x + c)*sinh(d*x + c) + (a^2 - b^2)*sinh(d*x + c)^2)*polylog(4, -(a*cosh(d*x + c) + a*sinh(d*x + c) + (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2))/b) + 192*((a^2 - b^2)*cosh(d*x + c)^2 + 2*(a^2 - b^2)*cosh(d*x + c)*sinh(d*x + c) + (a^2 - b^2)*sinh(d*x + c)^2)*polylog(4, -(a*cosh(d*x + c) + a*sinh(d*x + c) - (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2))/b) - 192*((a^2 - b^2)*d*x*cosh(d*x + c)^2 + 2*(a^2 - b^2)*d*x*cosh(d*x + c)*sinh(d*x + c) + (a^2 - b^2)*d*x*sinh(d*x + c)^2)*polylog(3, -(a*cosh(d*x + c) + a*sinh(d*x + c) + (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2))/b) - 192*((a^2 - b^2)*d*x*cosh(d*x + c)^2 + 2*(a^2 - b^2)*d*x*cosh(d*x + c)*sinh(d*x + c) + (a^2 - b^2)*d*x*sinh(d*x + c)^2)*polylog(3, -(a*cosh(d*x + c) + a*sinh(d*x + c) - (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2))/b) - 4*(4*a*b*d^3*x^3 + 12*a*b*d^2*x^2 + 24*a*b*d*x - (4*b^2*d^3*x^3 - 6*b^2*d^2*x^2 + 6*b^2*d*x - 3*b^2)*cosh(d*x + c)^3 + 12*(a*b*d^3*x^3 - 3*a*b*d^2*x^2 + 6*a*b*d*x - 6*a*b)*cosh(d*x + c)^2 + 24*a*b + 4*((a^2 - b^2)*d^4*x^4 - 2*(a^2 - b^2)*c^4)*cosh(d*x + c))*sinh(d*x + c))/(b^3*d^4*cosh(d*x + c)^2 + 2*b^3*d^4*cosh(d*x + c)*sinh(d*x + c) + b^3*d^4*sinh(d*x + c)^2)","C",0
235,1,1622,0,0.697934," ","integrate(x^2*sinh(d*x+c)^3/(a+b*cosh(d*x+c)),x, algorithm=""fricas"")","\frac{6 \, b^{2} d^{2} x^{2} + 3 \, {\left(2 \, b^{2} d^{2} x^{2} - 2 \, b^{2} d x + b^{2}\right)} \cosh\left(d x + c\right)^{4} + 3 \, {\left(2 \, b^{2} d^{2} x^{2} - 2 \, b^{2} d x + b^{2}\right)} \sinh\left(d x + c\right)^{4} + 6 \, b^{2} d x - 24 \, {\left(a b d^{2} x^{2} - 2 \, a b d x + 2 \, a b\right)} \cosh\left(d x + c\right)^{3} - 12 \, {\left(2 \, a b d^{2} x^{2} - 4 \, a b d x + 4 \, a b - {\left(2 \, b^{2} d^{2} x^{2} - 2 \, b^{2} d x + b^{2}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} - 16 \, {\left({\left(a^{2} - b^{2}\right)} d^{3} x^{3} + 2 \, {\left(a^{2} - b^{2}\right)} c^{3}\right)} \cosh\left(d x + c\right)^{2} - 2 \, {\left(8 \, {\left(a^{2} - b^{2}\right)} d^{3} x^{3} + 16 \, {\left(a^{2} - b^{2}\right)} c^{3} - 9 \, {\left(2 \, b^{2} d^{2} x^{2} - 2 \, b^{2} d x + b^{2}\right)} \cosh\left(d x + c\right)^{2} + 36 \, {\left(a b d^{2} x^{2} - 2 \, a b d x + 2 \, a b\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{2} + 3 \, b^{2} - 24 \, {\left(a b d^{2} x^{2} + 2 \, a b d x + 2 \, a b\right)} \cosh\left(d x + c\right) + 96 \, {\left({\left(a^{2} - b^{2}\right)} d x \cosh\left(d x + c\right)^{2} + 2 \, {\left(a^{2} - b^{2}\right)} d x \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a^{2} - b^{2}\right)} d x \sinh\left(d x + c\right)^{2}\right)} {\rm Li}_2\left(-\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) + {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + b}{b} + 1\right) + 96 \, {\left({\left(a^{2} - b^{2}\right)} d x \cosh\left(d x + c\right)^{2} + 2 \, {\left(a^{2} - b^{2}\right)} d x \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a^{2} - b^{2}\right)} d x \sinh\left(d x + c\right)^{2}\right)} {\rm Li}_2\left(-\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) - {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + b}{b} + 1\right) + 48 \, {\left({\left(a^{2} - b^{2}\right)} c^{2} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a^{2} - b^{2}\right)} c^{2} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a^{2} - b^{2}\right)} c^{2} \sinh\left(d x + c\right)^{2}\right)} \log\left(2 \, b \cosh\left(d x + c\right) + 2 \, b \sinh\left(d x + c\right) + 2 \, b \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + 2 \, a\right) + 48 \, {\left({\left(a^{2} - b^{2}\right)} c^{2} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a^{2} - b^{2}\right)} c^{2} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a^{2} - b^{2}\right)} c^{2} \sinh\left(d x + c\right)^{2}\right)} \log\left(2 \, b \cosh\left(d x + c\right) + 2 \, b \sinh\left(d x + c\right) - 2 \, b \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + 2 \, a\right) + 48 \, {\left({\left({\left(a^{2} - b^{2}\right)} d^{2} x^{2} - {\left(a^{2} - b^{2}\right)} c^{2}\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left({\left(a^{2} - b^{2}\right)} d^{2} x^{2} - {\left(a^{2} - b^{2}\right)} c^{2}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left({\left(a^{2} - b^{2}\right)} d^{2} x^{2} - {\left(a^{2} - b^{2}\right)} c^{2}\right)} \sinh\left(d x + c\right)^{2}\right)} \log\left(\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) + {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + b}{b}\right) + 48 \, {\left({\left({\left(a^{2} - b^{2}\right)} d^{2} x^{2} - {\left(a^{2} - b^{2}\right)} c^{2}\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left({\left(a^{2} - b^{2}\right)} d^{2} x^{2} - {\left(a^{2} - b^{2}\right)} c^{2}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left({\left(a^{2} - b^{2}\right)} d^{2} x^{2} - {\left(a^{2} - b^{2}\right)} c^{2}\right)} \sinh\left(d x + c\right)^{2}\right)} \log\left(\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) - {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + b}{b}\right) - 96 \, {\left({\left(a^{2} - b^{2}\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a^{2} - b^{2}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a^{2} - b^{2}\right)} \sinh\left(d x + c\right)^{2}\right)} {\rm polylog}\left(3, -\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) + {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}}}{b}\right) - 96 \, {\left({\left(a^{2} - b^{2}\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a^{2} - b^{2}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a^{2} - b^{2}\right)} \sinh\left(d x + c\right)^{2}\right)} {\rm polylog}\left(3, -\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) - {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}}}{b}\right) - 4 \, {\left(6 \, a b d^{2} x^{2} + 12 \, a b d x - 3 \, {\left(2 \, b^{2} d^{2} x^{2} - 2 \, b^{2} d x + b^{2}\right)} \cosh\left(d x + c\right)^{3} + 18 \, {\left(a b d^{2} x^{2} - 2 \, a b d x + 2 \, a b\right)} \cosh\left(d x + c\right)^{2} + 12 \, a b + 8 \, {\left({\left(a^{2} - b^{2}\right)} d^{3} x^{3} + 2 \, {\left(a^{2} - b^{2}\right)} c^{3}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}{48 \, {\left(b^{3} d^{3} \cosh\left(d x + c\right)^{2} + 2 \, b^{3} d^{3} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + b^{3} d^{3} \sinh\left(d x + c\right)^{2}\right)}}"," ",0,"1/48*(6*b^2*d^2*x^2 + 3*(2*b^2*d^2*x^2 - 2*b^2*d*x + b^2)*cosh(d*x + c)^4 + 3*(2*b^2*d^2*x^2 - 2*b^2*d*x + b^2)*sinh(d*x + c)^4 + 6*b^2*d*x - 24*(a*b*d^2*x^2 - 2*a*b*d*x + 2*a*b)*cosh(d*x + c)^3 - 12*(2*a*b*d^2*x^2 - 4*a*b*d*x + 4*a*b - (2*b^2*d^2*x^2 - 2*b^2*d*x + b^2)*cosh(d*x + c))*sinh(d*x + c)^3 - 16*((a^2 - b^2)*d^3*x^3 + 2*(a^2 - b^2)*c^3)*cosh(d*x + c)^2 - 2*(8*(a^2 - b^2)*d^3*x^3 + 16*(a^2 - b^2)*c^3 - 9*(2*b^2*d^2*x^2 - 2*b^2*d*x + b^2)*cosh(d*x + c)^2 + 36*(a*b*d^2*x^2 - 2*a*b*d*x + 2*a*b)*cosh(d*x + c))*sinh(d*x + c)^2 + 3*b^2 - 24*(a*b*d^2*x^2 + 2*a*b*d*x + 2*a*b)*cosh(d*x + c) + 96*((a^2 - b^2)*d*x*cosh(d*x + c)^2 + 2*(a^2 - b^2)*d*x*cosh(d*x + c)*sinh(d*x + c) + (a^2 - b^2)*d*x*sinh(d*x + c)^2)*dilog(-(a*cosh(d*x + c) + a*sinh(d*x + c) + (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2) + b)/b + 1) + 96*((a^2 - b^2)*d*x*cosh(d*x + c)^2 + 2*(a^2 - b^2)*d*x*cosh(d*x + c)*sinh(d*x + c) + (a^2 - b^2)*d*x*sinh(d*x + c)^2)*dilog(-(a*cosh(d*x + c) + a*sinh(d*x + c) - (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2) + b)/b + 1) + 48*((a^2 - b^2)*c^2*cosh(d*x + c)^2 + 2*(a^2 - b^2)*c^2*cosh(d*x + c)*sinh(d*x + c) + (a^2 - b^2)*c^2*sinh(d*x + c)^2)*log(2*b*cosh(d*x + c) + 2*b*sinh(d*x + c) + 2*b*sqrt((a^2 - b^2)/b^2) + 2*a) + 48*((a^2 - b^2)*c^2*cosh(d*x + c)^2 + 2*(a^2 - b^2)*c^2*cosh(d*x + c)*sinh(d*x + c) + (a^2 - b^2)*c^2*sinh(d*x + c)^2)*log(2*b*cosh(d*x + c) + 2*b*sinh(d*x + c) - 2*b*sqrt((a^2 - b^2)/b^2) + 2*a) + 48*(((a^2 - b^2)*d^2*x^2 - (a^2 - b^2)*c^2)*cosh(d*x + c)^2 + 2*((a^2 - b^2)*d^2*x^2 - (a^2 - b^2)*c^2)*cosh(d*x + c)*sinh(d*x + c) + ((a^2 - b^2)*d^2*x^2 - (a^2 - b^2)*c^2)*sinh(d*x + c)^2)*log((a*cosh(d*x + c) + a*sinh(d*x + c) + (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2) + b)/b) + 48*(((a^2 - b^2)*d^2*x^2 - (a^2 - b^2)*c^2)*cosh(d*x + c)^2 + 2*((a^2 - b^2)*d^2*x^2 - (a^2 - b^2)*c^2)*cosh(d*x + c)*sinh(d*x + c) + ((a^2 - b^2)*d^2*x^2 - (a^2 - b^2)*c^2)*sinh(d*x + c)^2)*log((a*cosh(d*x + c) + a*sinh(d*x + c) - (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2) + b)/b) - 96*((a^2 - b^2)*cosh(d*x + c)^2 + 2*(a^2 - b^2)*cosh(d*x + c)*sinh(d*x + c) + (a^2 - b^2)*sinh(d*x + c)^2)*polylog(3, -(a*cosh(d*x + c) + a*sinh(d*x + c) + (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2))/b) - 96*((a^2 - b^2)*cosh(d*x + c)^2 + 2*(a^2 - b^2)*cosh(d*x + c)*sinh(d*x + c) + (a^2 - b^2)*sinh(d*x + c)^2)*polylog(3, -(a*cosh(d*x + c) + a*sinh(d*x + c) - (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2))/b) - 4*(6*a*b*d^2*x^2 + 12*a*b*d*x - 3*(2*b^2*d^2*x^2 - 2*b^2*d*x + b^2)*cosh(d*x + c)^3 + 18*(a*b*d^2*x^2 - 2*a*b*d*x + 2*a*b)*cosh(d*x + c)^2 + 12*a*b + 8*((a^2 - b^2)*d^3*x^3 + 2*(a^2 - b^2)*c^3)*cosh(d*x + c))*sinh(d*x + c))/(b^3*d^3*cosh(d*x + c)^2 + 2*b^3*d^3*cosh(d*x + c)*sinh(d*x + c) + b^3*d^3*sinh(d*x + c)^2)","C",0
236,1,1196,0,0.525697," ","integrate(x*sinh(d*x+c)^3/(a+b*cosh(d*x+c)),x, algorithm=""fricas"")","\frac{{\left(2 \, b^{2} d x - b^{2}\right)} \cosh\left(d x + c\right)^{4} + {\left(2 \, b^{2} d x - b^{2}\right)} \sinh\left(d x + c\right)^{4} + 2 \, b^{2} d x - 8 \, {\left(a b d x - a b\right)} \cosh\left(d x + c\right)^{3} - 4 \, {\left(2 \, a b d x - 2 \, a b - {\left(2 \, b^{2} d x - b^{2}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} - 8 \, {\left({\left(a^{2} - b^{2}\right)} d^{2} x^{2} - 2 \, {\left(a^{2} - b^{2}\right)} c^{2}\right)} \cosh\left(d x + c\right)^{2} - 2 \, {\left(4 \, {\left(a^{2} - b^{2}\right)} d^{2} x^{2} - 8 \, {\left(a^{2} - b^{2}\right)} c^{2} - 3 \, {\left(2 \, b^{2} d x - b^{2}\right)} \cosh\left(d x + c\right)^{2} + 12 \, {\left(a b d x - a b\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{2} + b^{2} - 8 \, {\left(a b d x + a b\right)} \cosh\left(d x + c\right) + 16 \, {\left({\left(a^{2} - b^{2}\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a^{2} - b^{2}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a^{2} - b^{2}\right)} \sinh\left(d x + c\right)^{2}\right)} {\rm Li}_2\left(-\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) + {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + b}{b} + 1\right) + 16 \, {\left({\left(a^{2} - b^{2}\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a^{2} - b^{2}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a^{2} - b^{2}\right)} \sinh\left(d x + c\right)^{2}\right)} {\rm Li}_2\left(-\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) - {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + b}{b} + 1\right) - 16 \, {\left({\left(a^{2} - b^{2}\right)} c \cosh\left(d x + c\right)^{2} + 2 \, {\left(a^{2} - b^{2}\right)} c \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a^{2} - b^{2}\right)} c \sinh\left(d x + c\right)^{2}\right)} \log\left(2 \, b \cosh\left(d x + c\right) + 2 \, b \sinh\left(d x + c\right) + 2 \, b \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + 2 \, a\right) - 16 \, {\left({\left(a^{2} - b^{2}\right)} c \cosh\left(d x + c\right)^{2} + 2 \, {\left(a^{2} - b^{2}\right)} c \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a^{2} - b^{2}\right)} c \sinh\left(d x + c\right)^{2}\right)} \log\left(2 \, b \cosh\left(d x + c\right) + 2 \, b \sinh\left(d x + c\right) - 2 \, b \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + 2 \, a\right) + 16 \, {\left({\left({\left(a^{2} - b^{2}\right)} d x + {\left(a^{2} - b^{2}\right)} c\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left({\left(a^{2} - b^{2}\right)} d x + {\left(a^{2} - b^{2}\right)} c\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left({\left(a^{2} - b^{2}\right)} d x + {\left(a^{2} - b^{2}\right)} c\right)} \sinh\left(d x + c\right)^{2}\right)} \log\left(\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) + {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + b}{b}\right) + 16 \, {\left({\left({\left(a^{2} - b^{2}\right)} d x + {\left(a^{2} - b^{2}\right)} c\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left({\left(a^{2} - b^{2}\right)} d x + {\left(a^{2} - b^{2}\right)} c\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left({\left(a^{2} - b^{2}\right)} d x + {\left(a^{2} - b^{2}\right)} c\right)} \sinh\left(d x + c\right)^{2}\right)} \log\left(\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) - {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} - b^{2}}{b^{2}}} + b}{b}\right) - 4 \, {\left(2 \, a b d x - {\left(2 \, b^{2} d x - b^{2}\right)} \cosh\left(d x + c\right)^{3} + 6 \, {\left(a b d x - a b\right)} \cosh\left(d x + c\right)^{2} + 2 \, a b + 4 \, {\left({\left(a^{2} - b^{2}\right)} d^{2} x^{2} - 2 \, {\left(a^{2} - b^{2}\right)} c^{2}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}{16 \, {\left(b^{3} d^{2} \cosh\left(d x + c\right)^{2} + 2 \, b^{3} d^{2} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + b^{3} d^{2} \sinh\left(d x + c\right)^{2}\right)}}"," ",0,"1/16*((2*b^2*d*x - b^2)*cosh(d*x + c)^4 + (2*b^2*d*x - b^2)*sinh(d*x + c)^4 + 2*b^2*d*x - 8*(a*b*d*x - a*b)*cosh(d*x + c)^3 - 4*(2*a*b*d*x - 2*a*b - (2*b^2*d*x - b^2)*cosh(d*x + c))*sinh(d*x + c)^3 - 8*((a^2 - b^2)*d^2*x^2 - 2*(a^2 - b^2)*c^2)*cosh(d*x + c)^2 - 2*(4*(a^2 - b^2)*d^2*x^2 - 8*(a^2 - b^2)*c^2 - 3*(2*b^2*d*x - b^2)*cosh(d*x + c)^2 + 12*(a*b*d*x - a*b)*cosh(d*x + c))*sinh(d*x + c)^2 + b^2 - 8*(a*b*d*x + a*b)*cosh(d*x + c) + 16*((a^2 - b^2)*cosh(d*x + c)^2 + 2*(a^2 - b^2)*cosh(d*x + c)*sinh(d*x + c) + (a^2 - b^2)*sinh(d*x + c)^2)*dilog(-(a*cosh(d*x + c) + a*sinh(d*x + c) + (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2) + b)/b + 1) + 16*((a^2 - b^2)*cosh(d*x + c)^2 + 2*(a^2 - b^2)*cosh(d*x + c)*sinh(d*x + c) + (a^2 - b^2)*sinh(d*x + c)^2)*dilog(-(a*cosh(d*x + c) + a*sinh(d*x + c) - (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2) + b)/b + 1) - 16*((a^2 - b^2)*c*cosh(d*x + c)^2 + 2*(a^2 - b^2)*c*cosh(d*x + c)*sinh(d*x + c) + (a^2 - b^2)*c*sinh(d*x + c)^2)*log(2*b*cosh(d*x + c) + 2*b*sinh(d*x + c) + 2*b*sqrt((a^2 - b^2)/b^2) + 2*a) - 16*((a^2 - b^2)*c*cosh(d*x + c)^2 + 2*(a^2 - b^2)*c*cosh(d*x + c)*sinh(d*x + c) + (a^2 - b^2)*c*sinh(d*x + c)^2)*log(2*b*cosh(d*x + c) + 2*b*sinh(d*x + c) - 2*b*sqrt((a^2 - b^2)/b^2) + 2*a) + 16*(((a^2 - b^2)*d*x + (a^2 - b^2)*c)*cosh(d*x + c)^2 + 2*((a^2 - b^2)*d*x + (a^2 - b^2)*c)*cosh(d*x + c)*sinh(d*x + c) + ((a^2 - b^2)*d*x + (a^2 - b^2)*c)*sinh(d*x + c)^2)*log((a*cosh(d*x + c) + a*sinh(d*x + c) + (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2) + b)/b) + 16*(((a^2 - b^2)*d*x + (a^2 - b^2)*c)*cosh(d*x + c)^2 + 2*((a^2 - b^2)*d*x + (a^2 - b^2)*c)*cosh(d*x + c)*sinh(d*x + c) + ((a^2 - b^2)*d*x + (a^2 - b^2)*c)*sinh(d*x + c)^2)*log((a*cosh(d*x + c) + a*sinh(d*x + c) - (b*cosh(d*x + c) + b*sinh(d*x + c))*sqrt((a^2 - b^2)/b^2) + b)/b) - 4*(2*a*b*d*x - (2*b^2*d*x - b^2)*cosh(d*x + c)^3 + 6*(a*b*d*x - a*b)*cosh(d*x + c)^2 + 2*a*b + 4*((a^2 - b^2)*d^2*x^2 - 2*(a^2 - b^2)*c^2)*cosh(d*x + c))*sinh(d*x + c))/(b^3*d^2*cosh(d*x + c)^2 + 2*b^3*d^2*cosh(d*x + c)*sinh(d*x + c) + b^3*d^2*sinh(d*x + c)^2)","B",0
237,1,340,0,0.644907," ","integrate(sinh(d*x+c)^3/(a+b*cosh(d*x+c)),x, algorithm=""fricas"")","\frac{b^{2} \cosh\left(d x + c\right)^{4} + b^{2} \sinh\left(d x + c\right)^{4} - 8 \, {\left(a^{2} - b^{2}\right)} d x \cosh\left(d x + c\right)^{2} - 4 \, a b \cosh\left(d x + c\right)^{3} + 4 \, {\left(b^{2} \cosh\left(d x + c\right) - a b\right)} \sinh\left(d x + c\right)^{3} - 4 \, a b \cosh\left(d x + c\right) + 2 \, {\left(3 \, b^{2} \cosh\left(d x + c\right)^{2} - 4 \, {\left(a^{2} - b^{2}\right)} d x - 6 \, a b \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{2} + b^{2} + 8 \, {\left({\left(a^{2} - b^{2}\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a^{2} - b^{2}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a^{2} - b^{2}\right)} \sinh\left(d x + c\right)^{2}\right)} \log\left(\frac{2 \, {\left(b \cosh\left(d x + c\right) + a\right)}}{\cosh\left(d x + c\right) - \sinh\left(d x + c\right)}\right) + 4 \, {\left(b^{2} \cosh\left(d x + c\right)^{3} - 4 \, {\left(a^{2} - b^{2}\right)} d x \cosh\left(d x + c\right) - 3 \, a b \cosh\left(d x + c\right)^{2} - a b\right)} \sinh\left(d x + c\right)}{8 \, {\left(b^{3} d \cosh\left(d x + c\right)^{2} + 2 \, b^{3} d \cosh\left(d x + c\right) \sinh\left(d x + c\right) + b^{3} d \sinh\left(d x + c\right)^{2}\right)}}"," ",0,"1/8*(b^2*cosh(d*x + c)^4 + b^2*sinh(d*x + c)^4 - 8*(a^2 - b^2)*d*x*cosh(d*x + c)^2 - 4*a*b*cosh(d*x + c)^3 + 4*(b^2*cosh(d*x + c) - a*b)*sinh(d*x + c)^3 - 4*a*b*cosh(d*x + c) + 2*(3*b^2*cosh(d*x + c)^2 - 4*(a^2 - b^2)*d*x - 6*a*b*cosh(d*x + c))*sinh(d*x + c)^2 + b^2 + 8*((a^2 - b^2)*cosh(d*x + c)^2 + 2*(a^2 - b^2)*cosh(d*x + c)*sinh(d*x + c) + (a^2 - b^2)*sinh(d*x + c)^2)*log(2*(b*cosh(d*x + c) + a)/(cosh(d*x + c) - sinh(d*x + c))) + 4*(b^2*cosh(d*x + c)^3 - 4*(a^2 - b^2)*d*x*cosh(d*x + c) - 3*a*b*cosh(d*x + c)^2 - a*b)*sinh(d*x + c))/(b^3*d*cosh(d*x + c)^2 + 2*b^3*d*cosh(d*x + c)*sinh(d*x + c) + b^3*d*sinh(d*x + c)^2)","B",0
238,0,0,0,1.352184," ","integrate(sinh(d*x+c)^3/x/(a+b*cosh(d*x+c)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sinh\left(d x + c\right)^{3}}{b x \cosh\left(d x + c\right) + a x}, x\right)"," ",0,"integral(sinh(d*x + c)^3/(b*x*cosh(d*x + c) + a*x), x)","F",0
239,1,44,0,0.969505," ","integrate(cosh(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{b n x \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) - x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{b^{2} n^{2} - 1}"," ",0,"(b*n*x*sinh(b*n*log(x) + b*log(c) + a) - x*cosh(b*n*log(x) + b*log(c) + a))/(b^2*n^2 - 1)","A",0
240,1,90,0,0.534894," ","integrate(cosh(a+b*log(c*x^n))^2,x, algorithm=""fricas"")","\frac{4 \, b n x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) - x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - x \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + {\left(4 \, b^{2} n^{2} - 1\right)} x}{2 \, {\left(4 \, b^{2} n^{2} - 1\right)}}"," ",0,"1/2*(4*b*n*x*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a) - x*cosh(b*n*log(x) + b*log(c) + a)^2 - x*sinh(b*n*log(x) + b*log(c) + a)^2 + (4*b^2*n^2 - 1)*x)/(4*b^2*n^2 - 1)","A",0
241,1,199,0,0.494684," ","integrate(cosh(a+b*log(c*x^n))^3,x, algorithm=""fricas"")","-\frac{{\left(b^{2} n^{2} - 1\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 3 \, {\left(b^{2} n^{2} - 1\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 3 \, {\left(b^{3} n^{3} - b n\right)} x \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 3 \, {\left(9 \, b^{2} n^{2} - 1\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) - 3 \, {\left(3 \, {\left(b^{3} n^{3} - b n\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + {\left(9 \, b^{3} n^{3} - b n\right)} x\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{4 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} n^{2} + 1\right)}}"," ",0,"-1/4*((b^2*n^2 - 1)*x*cosh(b*n*log(x) + b*log(c) + a)^3 + 3*(b^2*n^2 - 1)*x*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a)^2 - 3*(b^3*n^3 - b*n)*x*sinh(b*n*log(x) + b*log(c) + a)^3 + 3*(9*b^2*n^2 - 1)*x*cosh(b*n*log(x) + b*log(c) + a) - 3*(3*(b^3*n^3 - b*n)*x*cosh(b*n*log(x) + b*log(c) + a)^2 + (9*b^3*n^3 - b*n)*x)*sinh(b*n*log(x) + b*log(c) + a))/(9*b^4*n^4 - 10*b^2*n^2 + 1)","A",0
242,1,293,0,0.564330," ","integrate(cosh(a+b*log(c*x^n))^4,x, algorithm=""fricas"")","-\frac{{\left(4 \, b^{2} n^{2} - 1\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} - 16 \, {\left(4 \, b^{3} n^{3} - b n\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + {\left(4 \, b^{2} n^{2} - 1\right)} x \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 4 \, {\left(16 \, b^{2} n^{2} - 1\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 2 \, {\left(3 \, {\left(4 \, b^{2} n^{2} - 1\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 2 \, {\left(16 \, b^{2} n^{2} - 1\right)} x\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 3 \, {\left(64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1\right)} x - 16 \, {\left({\left(4 \, b^{3} n^{3} - b n\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + {\left(16 \, b^{3} n^{3} - b n\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{8 \, {\left(64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1\right)}}"," ",0,"-1/8*((4*b^2*n^2 - 1)*x*cosh(b*n*log(x) + b*log(c) + a)^4 - 16*(4*b^3*n^3 - b*n)*x*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a)^3 + (4*b^2*n^2 - 1)*x*sinh(b*n*log(x) + b*log(c) + a)^4 + 4*(16*b^2*n^2 - 1)*x*cosh(b*n*log(x) + b*log(c) + a)^2 + 2*(3*(4*b^2*n^2 - 1)*x*cosh(b*n*log(x) + b*log(c) + a)^2 + 2*(16*b^2*n^2 - 1)*x)*sinh(b*n*log(x) + b*log(c) + a)^2 - 3*(64*b^4*n^4 - 20*b^2*n^2 + 1)*x - 16*((4*b^3*n^3 - b*n)*x*cosh(b*n*log(x) + b*log(c) + a)^3 + (16*b^3*n^3 - b*n)*x*cosh(b*n*log(x) + b*log(c) + a))*sinh(b*n*log(x) + b*log(c) + a))/(64*b^4*n^4 - 20*b^2*n^2 + 1)","A",0
243,1,99,0,0.469218," ","integrate(x^m*cosh(a+b*log(c*x^n)),x, algorithm=""fricas"")","-\frac{{\left(m + 1\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \cosh\left(m \log\left(x\right)\right) + {\left(m + 1\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(m \log\left(x\right)\right) - {\left(b n x \cosh\left(m \log\left(x\right)\right) + b n x \sinh\left(m \log\left(x\right)\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{b^{2} n^{2} - m^{2} - 2 \, m - 1}"," ",0,"-((m + 1)*x*cosh(b*n*log(x) + b*log(c) + a)*cosh(m*log(x)) + (m + 1)*x*cosh(b*n*log(x) + b*log(c) + a)*sinh(m*log(x)) - (b*n*x*cosh(m*log(x)) + b*n*x*sinh(m*log(x)))*sinh(b*n*log(x) + b*log(c) + a))/(b^2*n^2 - m^2 - 2*m - 1)","A",0
244,1,250,0,0.618090," ","integrate(x^m*cosh(a+b*log(c*x^n))^2,x, algorithm=""fricas"")","\frac{{\left(m^{2} + 2 \, m + 1\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} \cosh\left(m \log\left(x\right)\right) - {\left(4 \, b^{2} n^{2} - m^{2} - 2 \, m - 1\right)} x \cosh\left(m \log\left(x\right)\right) + {\left({\left(m^{2} + 2 \, m + 1\right)} x \cosh\left(m \log\left(x\right)\right) + {\left(m^{2} + 2 \, m + 1\right)} x \sinh\left(m \log\left(x\right)\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 4 \, {\left({\left(b m + b\right)} n x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \cosh\left(m \log\left(x\right)\right) + {\left(b m + b\right)} n x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(m \log\left(x\right)\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + {\left({\left(m^{2} + 2 \, m + 1\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - {\left(4 \, b^{2} n^{2} - m^{2} - 2 \, m - 1\right)} x\right)} \sinh\left(m \log\left(x\right)\right)}{2 \, {\left(m^{3} - 4 \, {\left(b^{2} m + b^{2}\right)} n^{2} + 3 \, m^{2} + 3 \, m + 1\right)}}"," ",0,"1/2*((m^2 + 2*m + 1)*x*cosh(b*n*log(x) + b*log(c) + a)^2*cosh(m*log(x)) - (4*b^2*n^2 - m^2 - 2*m - 1)*x*cosh(m*log(x)) + ((m^2 + 2*m + 1)*x*cosh(m*log(x)) + (m^2 + 2*m + 1)*x*sinh(m*log(x)))*sinh(b*n*log(x) + b*log(c) + a)^2 - 4*((b*m + b)*n*x*cosh(b*n*log(x) + b*log(c) + a)*cosh(m*log(x)) + (b*m + b)*n*x*cosh(b*n*log(x) + b*log(c) + a)*sinh(m*log(x)))*sinh(b*n*log(x) + b*log(c) + a) + ((m^2 + 2*m + 1)*x*cosh(b*n*log(x) + b*log(c) + a)^2 - (4*b^2*n^2 - m^2 - 2*m - 1)*x)*sinh(m*log(x)))/(m^3 - 4*(b^2*m + b^2)*n^2 + 3*m^2 + 3*m + 1)","A",0
245,1,584,0,0.520345," ","integrate(x^m*cosh(a+b*log(c*x^n))^3,x, algorithm=""fricas"")","\frac{{\left(m^{3} - {\left(b^{2} m + b^{2}\right)} n^{2} + 3 \, m^{2} + 3 \, m + 1\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} \cosh\left(m \log\left(x\right)\right) + 3 \, {\left(m^{3} - 9 \, {\left(b^{2} m + b^{2}\right)} n^{2} + 3 \, m^{2} + 3 \, m + 1\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \cosh\left(m \log\left(x\right)\right) + 3 \, {\left({\left(b^{3} n^{3} - {\left(b m^{2} + 2 \, b m + b\right)} n\right)} x \cosh\left(m \log\left(x\right)\right) + {\left(b^{3} n^{3} - {\left(b m^{2} + 2 \, b m + b\right)} n\right)} x \sinh\left(m \log\left(x\right)\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 3 \, {\left({\left(m^{3} - {\left(b^{2} m + b^{2}\right)} n^{2} + 3 \, m^{2} + 3 \, m + 1\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \cosh\left(m \log\left(x\right)\right) + {\left(m^{3} - {\left(b^{2} m + b^{2}\right)} n^{2} + 3 \, m^{2} + 3 \, m + 1\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(m \log\left(x\right)\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 3 \, {\left(3 \, {\left(b^{3} n^{3} - {\left(b m^{2} + 2 \, b m + b\right)} n\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} \cosh\left(m \log\left(x\right)\right) + {\left(9 \, b^{3} n^{3} - {\left(b m^{2} + 2 \, b m + b\right)} n\right)} x \cosh\left(m \log\left(x\right)\right) + {\left(3 \, {\left(b^{3} n^{3} - {\left(b m^{2} + 2 \, b m + b\right)} n\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + {\left(9 \, b^{3} n^{3} - {\left(b m^{2} + 2 \, b m + b\right)} n\right)} x\right)} \sinh\left(m \log\left(x\right)\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + {\left({\left(m^{3} - {\left(b^{2} m + b^{2}\right)} n^{2} + 3 \, m^{2} + 3 \, m + 1\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 3 \, {\left(m^{3} - 9 \, {\left(b^{2} m + b^{2}\right)} n^{2} + 3 \, m^{2} + 3 \, m + 1\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(m \log\left(x\right)\right)}{4 \, {\left(9 \, b^{4} n^{4} + m^{4} + 4 \, m^{3} - 10 \, {\left(b^{2} m^{2} + 2 \, b^{2} m + b^{2}\right)} n^{2} + 6 \, m^{2} + 4 \, m + 1\right)}}"," ",0,"1/4*((m^3 - (b^2*m + b^2)*n^2 + 3*m^2 + 3*m + 1)*x*cosh(b*n*log(x) + b*log(c) + a)^3*cosh(m*log(x)) + 3*(m^3 - 9*(b^2*m + b^2)*n^2 + 3*m^2 + 3*m + 1)*x*cosh(b*n*log(x) + b*log(c) + a)*cosh(m*log(x)) + 3*((b^3*n^3 - (b*m^2 + 2*b*m + b)*n)*x*cosh(m*log(x)) + (b^3*n^3 - (b*m^2 + 2*b*m + b)*n)*x*sinh(m*log(x)))*sinh(b*n*log(x) + b*log(c) + a)^3 + 3*((m^3 - (b^2*m + b^2)*n^2 + 3*m^2 + 3*m + 1)*x*cosh(b*n*log(x) + b*log(c) + a)*cosh(m*log(x)) + (m^3 - (b^2*m + b^2)*n^2 + 3*m^2 + 3*m + 1)*x*cosh(b*n*log(x) + b*log(c) + a)*sinh(m*log(x)))*sinh(b*n*log(x) + b*log(c) + a)^2 + 3*(3*(b^3*n^3 - (b*m^2 + 2*b*m + b)*n)*x*cosh(b*n*log(x) + b*log(c) + a)^2*cosh(m*log(x)) + (9*b^3*n^3 - (b*m^2 + 2*b*m + b)*n)*x*cosh(m*log(x)) + (3*(b^3*n^3 - (b*m^2 + 2*b*m + b)*n)*x*cosh(b*n*log(x) + b*log(c) + a)^2 + (9*b^3*n^3 - (b*m^2 + 2*b*m + b)*n)*x)*sinh(m*log(x)))*sinh(b*n*log(x) + b*log(c) + a) + ((m^3 - (b^2*m + b^2)*n^2 + 3*m^2 + 3*m + 1)*x*cosh(b*n*log(x) + b*log(c) + a)^3 + 3*(m^3 - 9*(b^2*m + b^2)*n^2 + 3*m^2 + 3*m + 1)*x*cosh(b*n*log(x) + b*log(c) + a))*sinh(m*log(x)))/(9*b^4*n^4 + m^4 + 4*m^3 - 10*(b^2*m^2 + 2*b^2*m + b^2)*n^2 + 6*m^2 + 4*m + 1)","B",0
246,1,1123,0,0.451879," ","integrate(x^m*cosh(a+b*log(c*x^n))^4,x, algorithm=""fricas"")","\frac{{\left(m^{4} + 4 \, m^{3} - 4 \, {\left(b^{2} m^{2} + 2 \, b^{2} m + b^{2}\right)} n^{2} + 6 \, m^{2} + 4 \, m + 1\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} \cosh\left(m \log\left(x\right)\right) + 4 \, {\left(m^{4} + 4 \, m^{3} - 16 \, {\left(b^{2} m^{2} + 2 \, b^{2} m + b^{2}\right)} n^{2} + 6 \, m^{2} + 4 \, m + 1\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} \cosh\left(m \log\left(x\right)\right) + {\left({\left(m^{4} + 4 \, m^{3} - 4 \, {\left(b^{2} m^{2} + 2 \, b^{2} m + b^{2}\right)} n^{2} + 6 \, m^{2} + 4 \, m + 1\right)} x \cosh\left(m \log\left(x\right)\right) + {\left(m^{4} + 4 \, m^{3} - 4 \, {\left(b^{2} m^{2} + 2 \, b^{2} m + b^{2}\right)} n^{2} + 6 \, m^{2} + 4 \, m + 1\right)} x \sinh\left(m \log\left(x\right)\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 16 \, {\left({\left(4 \, {\left(b^{3} m + b^{3}\right)} n^{3} - {\left(b m^{3} + 3 \, b m^{2} + 3 \, b m + b\right)} n\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \cosh\left(m \log\left(x\right)\right) + {\left(4 \, {\left(b^{3} m + b^{3}\right)} n^{3} - {\left(b m^{3} + 3 \, b m^{2} + 3 \, b m + b\right)} n\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(m \log\left(x\right)\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 3 \, {\left(64 \, b^{4} n^{4} + m^{4} + 4 \, m^{3} - 20 \, {\left(b^{2} m^{2} + 2 \, b^{2} m + b^{2}\right)} n^{2} + 6 \, m^{2} + 4 \, m + 1\right)} x \cosh\left(m \log\left(x\right)\right) + 2 \, {\left(3 \, {\left(m^{4} + 4 \, m^{3} - 4 \, {\left(b^{2} m^{2} + 2 \, b^{2} m + b^{2}\right)} n^{2} + 6 \, m^{2} + 4 \, m + 1\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} \cosh\left(m \log\left(x\right)\right) + 2 \, {\left(m^{4} + 4 \, m^{3} - 16 \, {\left(b^{2} m^{2} + 2 \, b^{2} m + b^{2}\right)} n^{2} + 6 \, m^{2} + 4 \, m + 1\right)} x \cosh\left(m \log\left(x\right)\right) + {\left(3 \, {\left(m^{4} + 4 \, m^{3} - 4 \, {\left(b^{2} m^{2} + 2 \, b^{2} m + b^{2}\right)} n^{2} + 6 \, m^{2} + 4 \, m + 1\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 2 \, {\left(m^{4} + 4 \, m^{3} - 16 \, {\left(b^{2} m^{2} + 2 \, b^{2} m + b^{2}\right)} n^{2} + 6 \, m^{2} + 4 \, m + 1\right)} x\right)} \sinh\left(m \log\left(x\right)\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 16 \, {\left({\left(4 \, {\left(b^{3} m + b^{3}\right)} n^{3} - {\left(b m^{3} + 3 \, b m^{2} + 3 \, b m + b\right)} n\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} \cosh\left(m \log\left(x\right)\right) + {\left(16 \, {\left(b^{3} m + b^{3}\right)} n^{3} - {\left(b m^{3} + 3 \, b m^{2} + 3 \, b m + b\right)} n\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \cosh\left(m \log\left(x\right)\right) + {\left({\left(4 \, {\left(b^{3} m + b^{3}\right)} n^{3} - {\left(b m^{3} + 3 \, b m^{2} + 3 \, b m + b\right)} n\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + {\left(16 \, {\left(b^{3} m + b^{3}\right)} n^{3} - {\left(b m^{3} + 3 \, b m^{2} + 3 \, b m + b\right)} n\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(m \log\left(x\right)\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + {\left({\left(m^{4} + 4 \, m^{3} - 4 \, {\left(b^{2} m^{2} + 2 \, b^{2} m + b^{2}\right)} n^{2} + 6 \, m^{2} + 4 \, m + 1\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 4 \, {\left(m^{4} + 4 \, m^{3} - 16 \, {\left(b^{2} m^{2} + 2 \, b^{2} m + b^{2}\right)} n^{2} + 6 \, m^{2} + 4 \, m + 1\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 3 \, {\left(64 \, b^{4} n^{4} + m^{4} + 4 \, m^{3} - 20 \, {\left(b^{2} m^{2} + 2 \, b^{2} m + b^{2}\right)} n^{2} + 6 \, m^{2} + 4 \, m + 1\right)} x\right)} \sinh\left(m \log\left(x\right)\right)}{8 \, {\left(m^{5} + 64 \, {\left(b^{4} m + b^{4}\right)} n^{4} + 5 \, m^{4} + 10 \, m^{3} - 20 \, {\left(b^{2} m^{3} + 3 \, b^{2} m^{2} + 3 \, b^{2} m + b^{2}\right)} n^{2} + 10 \, m^{2} + 5 \, m + 1\right)}}"," ",0,"1/8*((m^4 + 4*m^3 - 4*(b^2*m^2 + 2*b^2*m + b^2)*n^2 + 6*m^2 + 4*m + 1)*x*cosh(b*n*log(x) + b*log(c) + a)^4*cosh(m*log(x)) + 4*(m^4 + 4*m^3 - 16*(b^2*m^2 + 2*b^2*m + b^2)*n^2 + 6*m^2 + 4*m + 1)*x*cosh(b*n*log(x) + b*log(c) + a)^2*cosh(m*log(x)) + ((m^4 + 4*m^3 - 4*(b^2*m^2 + 2*b^2*m + b^2)*n^2 + 6*m^2 + 4*m + 1)*x*cosh(m*log(x)) + (m^4 + 4*m^3 - 4*(b^2*m^2 + 2*b^2*m + b^2)*n^2 + 6*m^2 + 4*m + 1)*x*sinh(m*log(x)))*sinh(b*n*log(x) + b*log(c) + a)^4 + 16*((4*(b^3*m + b^3)*n^3 - (b*m^3 + 3*b*m^2 + 3*b*m + b)*n)*x*cosh(b*n*log(x) + b*log(c) + a)*cosh(m*log(x)) + (4*(b^3*m + b^3)*n^3 - (b*m^3 + 3*b*m^2 + 3*b*m + b)*n)*x*cosh(b*n*log(x) + b*log(c) + a)*sinh(m*log(x)))*sinh(b*n*log(x) + b*log(c) + a)^3 + 3*(64*b^4*n^4 + m^4 + 4*m^3 - 20*(b^2*m^2 + 2*b^2*m + b^2)*n^2 + 6*m^2 + 4*m + 1)*x*cosh(m*log(x)) + 2*(3*(m^4 + 4*m^3 - 4*(b^2*m^2 + 2*b^2*m + b^2)*n^2 + 6*m^2 + 4*m + 1)*x*cosh(b*n*log(x) + b*log(c) + a)^2*cosh(m*log(x)) + 2*(m^4 + 4*m^3 - 16*(b^2*m^2 + 2*b^2*m + b^2)*n^2 + 6*m^2 + 4*m + 1)*x*cosh(m*log(x)) + (3*(m^4 + 4*m^3 - 4*(b^2*m^2 + 2*b^2*m + b^2)*n^2 + 6*m^2 + 4*m + 1)*x*cosh(b*n*log(x) + b*log(c) + a)^2 + 2*(m^4 + 4*m^3 - 16*(b^2*m^2 + 2*b^2*m + b^2)*n^2 + 6*m^2 + 4*m + 1)*x)*sinh(m*log(x)))*sinh(b*n*log(x) + b*log(c) + a)^2 + 16*((4*(b^3*m + b^3)*n^3 - (b*m^3 + 3*b*m^2 + 3*b*m + b)*n)*x*cosh(b*n*log(x) + b*log(c) + a)^3*cosh(m*log(x)) + (16*(b^3*m + b^3)*n^3 - (b*m^3 + 3*b*m^2 + 3*b*m + b)*n)*x*cosh(b*n*log(x) + b*log(c) + a)*cosh(m*log(x)) + ((4*(b^3*m + b^3)*n^3 - (b*m^3 + 3*b*m^2 + 3*b*m + b)*n)*x*cosh(b*n*log(x) + b*log(c) + a)^3 + (16*(b^3*m + b^3)*n^3 - (b*m^3 + 3*b*m^2 + 3*b*m + b)*n)*x*cosh(b*n*log(x) + b*log(c) + a))*sinh(m*log(x)))*sinh(b*n*log(x) + b*log(c) + a) + ((m^4 + 4*m^3 - 4*(b^2*m^2 + 2*b^2*m + b^2)*n^2 + 6*m^2 + 4*m + 1)*x*cosh(b*n*log(x) + b*log(c) + a)^4 + 4*(m^4 + 4*m^3 - 16*(b^2*m^2 + 2*b^2*m + b^2)*n^2 + 6*m^2 + 4*m + 1)*x*cosh(b*n*log(x) + b*log(c) + a)^2 + 3*(64*b^4*n^4 + m^4 + 4*m^3 - 20*(b^2*m^2 + 2*b^2*m + b^2)*n^2 + 6*m^2 + 4*m + 1)*x)*sinh(m*log(x)))/(m^5 + 64*(b^4*m + b^4)*n^4 + 5*m^4 + 10*m^3 - 20*(b^2*m^3 + 3*b^2*m^2 + 3*b^2*m + b^2)*n^2 + 10*m^2 + 5*m + 1)","B",0
247,1,19,0,0.481638," ","integrate(cosh(a+b*log(c*x^n))/x,x, algorithm=""fricas"")","\frac{\sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{b n}"," ",0,"sinh(b*n*log(x) + b*log(c) + a)/(b*n)","A",0
248,1,39,0,0.425801," ","integrate(cosh(a+b*log(c*x^n))^2/x,x, algorithm=""fricas"")","\frac{b n \log\left(x\right) + \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{2 \, b n}"," ",0,"1/2*(b*n*log(x) + cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a))/(b*n)","A",0
249,1,53,0,0.524753," ","integrate(cosh(a+b*log(c*x^n))^3/x,x, algorithm=""fricas"")","\frac{\sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 3 \, {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 3\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{12 \, b n}"," ",0,"1/12*(sinh(b*n*log(x) + b*log(c) + a)^3 + 3*(cosh(b*n*log(x) + b*log(c) + a)^2 + 3)*sinh(b*n*log(x) + b*log(c) + a))/(b*n)","A",0
250,1,84,0,0.529721," ","integrate(cosh(a+b*log(c*x^n))^4/x,x, algorithm=""fricas"")","\frac{\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 3 \, b n \log\left(x\right) + {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 4 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{8 \, b n}"," ",0,"1/8*(cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a)^3 + 3*b*n*log(x) + (cosh(b*n*log(x) + b*log(c) + a)^3 + 4*cosh(b*n*log(x) + b*log(c) + a))*sinh(b*n*log(x) + b*log(c) + a))/(b*n)","A",0
251,1,105,0,0.554747," ","integrate(cosh(a+b*log(c*x^n))^5/x,x, algorithm=""fricas"")","\frac{3 \, \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{5} + 5 \, {\left(6 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 5\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 15 \, {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 5 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 10\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{240 \, b n}"," ",0,"1/240*(3*sinh(b*n*log(x) + b*log(c) + a)^5 + 5*(6*cosh(b*n*log(x) + b*log(c) + a)^2 + 5)*sinh(b*n*log(x) + b*log(c) + a)^3 + 15*(cosh(b*n*log(x) + b*log(c) + a)^4 + 5*cosh(b*n*log(x) + b*log(c) + a)^2 + 10)*sinh(b*n*log(x) + b*log(c) + a))/(b*n)","A",0
252,0,0,0,0.564423," ","integrate(cosh(a+b*log(c*x^n))^(5/2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\cosh\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}}{x}, x\right)"," ",0,"integral(cosh(b*log(c*x^n) + a)^(5/2)/x, x)","F",0
253,0,0,0,0.610607," ","integrate(cosh(a+b*log(c*x^n))^(3/2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\cosh\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}{x}, x\right)"," ",0,"integral(cosh(b*log(c*x^n) + a)^(3/2)/x, x)","F",0
254,0,0,0,0.571868," ","integrate(cosh(a+b*log(c*x^n))^(1/2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\cosh\left(b \log\left(c x^{n}\right) + a\right)}}{x}, x\right)"," ",0,"integral(sqrt(cosh(b*log(c*x^n) + a))/x, x)","F",0
255,0,0,0,0.767642," ","integrate(1/x/cosh(a+b*log(c*x^n))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{x \sqrt{\cosh\left(b \log\left(c x^{n}\right) + a\right)}}, x\right)"," ",0,"integral(1/(x*sqrt(cosh(b*log(c*x^n) + a))), x)","F",0
256,0,0,0,0.505116," ","integrate(1/x/cosh(a+b*log(c*x^n))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{x \cosh\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}, x\right)"," ",0,"integral(1/(x*cosh(b*log(c*x^n) + a)^(3/2)), x)","F",0
257,0,0,0,0.450848," ","integrate(1/x/cosh(a+b*log(c*x^n))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{x \cosh\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}}, x\right)"," ",0,"integral(1/(x*cosh(b*log(c*x^n) + a)^(5/2)), x)","F",0
258,1,187,0,0.490874," ","integrate(cosh(a+2*log(c*x^n)/n)^(5/2),x, algorithm=""fricas"")","\frac{{\left(15 \, \sqrt{2} x^{3} e^{\left(\frac{3 \, {\left(a n + 2 \, \log\left(c\right)\right)}}{2 \, n}\right)} \log\left(\frac{x^{4} e^{\left(\frac{2 \, {\left(a n + 2 \, \log\left(c\right)\right)}}{n}\right)} - 2 \, \sqrt{2} \sqrt{\frac{1}{2}} x \sqrt{\frac{x^{4} e^{\left(\frac{2 \, {\left(a n + 2 \, \log\left(c\right)\right)}}{n}\right)} + 1}{x^{2}}} + 2}{x^{4}}\right) + 4 \, \sqrt{\frac{1}{2}} {\left(2 \, x^{8} e^{\left(\frac{4 \, {\left(a n + 2 \, \log\left(c\right)\right)}}{n}\right)} + 14 \, x^{4} e^{\left(\frac{2 \, {\left(a n + 2 \, \log\left(c\right)\right)}}{n}\right)} - 3\right)} \sqrt{\frac{x^{4} e^{\left(\frac{2 \, {\left(a n + 2 \, \log\left(c\right)\right)}}{n}\right)} + 1}{x^{2}}} e^{\left(-\frac{a n + 2 \, \log\left(c\right)}{2 \, n}\right)}\right)} e^{\left(-\frac{2 \, {\left(a n + 2 \, \log\left(c\right)\right)}}{n}\right)}}{192 \, x^{3}}"," ",0,"1/192*(15*sqrt(2)*x^3*e^(3/2*(a*n + 2*log(c))/n)*log((x^4*e^(2*(a*n + 2*log(c))/n) - 2*sqrt(2)*sqrt(1/2)*x*sqrt((x^4*e^(2*(a*n + 2*log(c))/n) + 1)/x^2) + 2)/x^4) + 4*sqrt(1/2)*(2*x^8*e^(4*(a*n + 2*log(c))/n) + 14*x^4*e^(2*(a*n + 2*log(c))/n) - 3)*sqrt((x^4*e^(2*(a*n + 2*log(c))/n) + 1)/x^2)*e^(-1/2*(a*n + 2*log(c))/n))*e^(-2*(a*n + 2*log(c))/n)/x^3","A",0
259,1,141,0,0.431758," ","integrate(cosh(a+2*log(c*x^n)/n)^(1/2),x, algorithm=""fricas"")","\frac{1}{8} \, {\left(4 \, \sqrt{\frac{1}{2}} x \sqrt{\frac{x^{4} e^{\left(\frac{2 \, {\left(a n + 2 \, \log\left(c\right)\right)}}{n}\right)} + 1}{x^{2}}} e^{\left(\frac{a n + 2 \, \log\left(c\right)}{2 \, n}\right)} + \sqrt{2} e^{\left(\frac{a n + 2 \, \log\left(c\right)}{2 \, n}\right)} \log\left(\frac{x^{4} e^{\left(\frac{2 \, {\left(a n + 2 \, \log\left(c\right)\right)}}{n}\right)} - 2 \, \sqrt{2} \sqrt{\frac{1}{2}} x \sqrt{\frac{x^{4} e^{\left(\frac{2 \, {\left(a n + 2 \, \log\left(c\right)\right)}}{n}\right)} + 1}{x^{2}}} + 2}{x^{4}}\right)\right)} e^{\left(-\frac{a n + 2 \, \log\left(c\right)}{n}\right)}"," ",0,"1/8*(4*sqrt(1/2)*x*sqrt((x^4*e^(2*(a*n + 2*log(c))/n) + 1)/x^2)*e^(1/2*(a*n + 2*log(c))/n) + sqrt(2)*e^(1/2*(a*n + 2*log(c))/n)*log((x^4*e^(2*(a*n + 2*log(c))/n) - 2*sqrt(2)*sqrt(1/2)*x*sqrt((x^4*e^(2*(a*n + 2*log(c))/n) + 1)/x^2) + 2)/x^4))*e^(-(a*n + 2*log(c))/n)","A",0
260,1,68,0,0.492210," ","integrate(1/cosh(a+2*log(c*x^n)/n)^(3/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{\frac{1}{2}} x \sqrt{\frac{x^{4} e^{\left(\frac{2 \, {\left(a n + 2 \, \log\left(c\right)\right)}}{n}\right)} + 1}{x^{2}}} e^{\left(-\frac{a n + 2 \, \log\left(c\right)}{2 \, n}\right)}}{x^{4} e^{\left(\frac{2 \, {\left(a n + 2 \, \log\left(c\right)\right)}}{n}\right)} + 1}"," ",0,"-2*sqrt(1/2)*x*sqrt((x^4*e^(2*(a*n + 2*log(c))/n) + 1)/x^2)*e^(-1/2*(a*n + 2*log(c))/n)/(x^4*e^(2*(a*n + 2*log(c))/n) + 1)","A",0
261,1,128,0,0.584584," ","integrate(1/cosh(a+2*log(c*x^n)/n)^(7/2),x, algorithm=""fricas"")","-\frac{8 \, \sqrt{\frac{1}{2}} {\left(5 \, x^{5} e^{\left(\frac{2 \, {\left(a n + 2 \, \log\left(c\right)\right)}}{n}\right)} + 2 \, x\right)} \sqrt{\frac{x^{4} e^{\left(\frac{2 \, {\left(a n + 2 \, \log\left(c\right)\right)}}{n}\right)} + 1}{x^{2}}} e^{\left(-\frac{a n + 2 \, \log\left(c\right)}{2 \, n}\right)}}{15 \, {\left(x^{12} e^{\left(\frac{6 \, {\left(a n + 2 \, \log\left(c\right)\right)}}{n}\right)} + 3 \, x^{8} e^{\left(\frac{4 \, {\left(a n + 2 \, \log\left(c\right)\right)}}{n}\right)} + 3 \, x^{4} e^{\left(\frac{2 \, {\left(a n + 2 \, \log\left(c\right)\right)}}{n}\right)} + 1\right)}}"," ",0,"-8/15*sqrt(1/2)*(5*x^5*e^(2*(a*n + 2*log(c))/n) + 2*x)*sqrt((x^4*e^(2*(a*n + 2*log(c))/n) + 1)/x^2)*e^(-1/2*(a*n + 2*log(c))/n)/(x^12*e^(6*(a*n + 2*log(c))/n) + 3*x^8*e^(4*(a*n + 2*log(c))/n) + 3*x^4*e^(2*(a*n + 2*log(c))/n) + 1)","A",0
262,1,171,0,0.520859," ","integrate(cosh((b*x+a)/(d*x+c)),x, algorithm=""fricas"")","\frac{2 \, {\left(d^{2} x + c d\right)} \cosh\left(\frac{b x + a}{d x + c}\right) - {\left({\left(b c - a d\right)} {\rm Ei}\left(\frac{b c - a d}{d^{2} x + c d}\right) - {\left(b c - a d\right)} {\rm Ei}\left(-\frac{b c - a d}{d^{2} x + c d}\right)\right)} \cosh\left(\frac{b}{d}\right) + {\left({\left(b c - a d\right)} {\rm Ei}\left(\frac{b c - a d}{d^{2} x + c d}\right) + {\left(b c - a d\right)} {\rm Ei}\left(-\frac{b c - a d}{d^{2} x + c d}\right)\right)} \sinh\left(\frac{b}{d}\right)}{2 \, d^{2}}"," ",0,"1/2*(2*(d^2*x + c*d)*cosh((b*x + a)/(d*x + c)) - ((b*c - a*d)*Ei((b*c - a*d)/(d^2*x + c*d)) - (b*c - a*d)*Ei(-(b*c - a*d)/(d^2*x + c*d)))*cosh(b/d) + ((b*c - a*d)*Ei((b*c - a*d)/(d^2*x + c*d)) + (b*c - a*d)*Ei(-(b*c - a*d)/(d^2*x + c*d)))*sinh(b/d))/d^2","A",0
263,1,366,0,0.641188," ","integrate(cosh((b*x+a)/(d*x+c))^2,x, algorithm=""fricas"")","\frac{d^{2} x + {\left(d^{2} x + c d\right)} \cosh\left(\frac{b x + a}{d x + c}\right)^{2} + {\left(d^{2} x - {\left(b c - a d\right)} {\rm Ei}\left(-\frac{2 \, {\left(b c - a d\right)}}{d^{2} x + c d}\right) \cosh\left(\frac{2 \, b}{d}\right) + c d\right)} \sinh\left(\frac{b x + a}{d x + c}\right)^{2} + {\left({\left(b c - a d\right)} {\rm Ei}\left(-\frac{2 \, {\left(b c - a d\right)}}{d^{2} x + c d}\right) \cosh\left(\frac{b x + a}{d x + c}\right)^{2} - {\left(b c - a d\right)} {\rm Ei}\left(\frac{2 \, {\left(b c - a d\right)}}{d^{2} x + c d}\right)\right)} \cosh\left(\frac{2 \, b}{d}\right) + {\left({\left(b c - a d\right)} {\rm Ei}\left(-\frac{2 \, {\left(b c - a d\right)}}{d^{2} x + c d}\right) \cosh\left(\frac{b x + a}{d x + c}\right)^{2} - {\left(b c - a d\right)} {\rm Ei}\left(-\frac{2 \, {\left(b c - a d\right)}}{d^{2} x + c d}\right) \sinh\left(\frac{b x + a}{d x + c}\right)^{2} + {\left(b c - a d\right)} {\rm Ei}\left(\frac{2 \, {\left(b c - a d\right)}}{d^{2} x + c d}\right)\right)} \sinh\left(\frac{2 \, b}{d}\right)}{2 \, {\left(d^{2} \cosh\left(\frac{b x + a}{d x + c}\right)^{2} - d^{2} \sinh\left(\frac{b x + a}{d x + c}\right)^{2}\right)}}"," ",0,"1/2*(d^2*x + (d^2*x + c*d)*cosh((b*x + a)/(d*x + c))^2 + (d^2*x - (b*c - a*d)*Ei(-2*(b*c - a*d)/(d^2*x + c*d))*cosh(2*b/d) + c*d)*sinh((b*x + a)/(d*x + c))^2 + ((b*c - a*d)*Ei(-2*(b*c - a*d)/(d^2*x + c*d))*cosh((b*x + a)/(d*x + c))^2 - (b*c - a*d)*Ei(2*(b*c - a*d)/(d^2*x + c*d)))*cosh(2*b/d) + ((b*c - a*d)*Ei(-2*(b*c - a*d)/(d^2*x + c*d))*cosh((b*x + a)/(d*x + c))^2 - (b*c - a*d)*Ei(-2*(b*c - a*d)/(d^2*x + c*d))*sinh((b*x + a)/(d*x + c))^2 + (b*c - a*d)*Ei(2*(b*c - a*d)/(d^2*x + c*d)))*sinh(2*b/d))/(d^2*cosh((b*x + a)/(d*x + c))^2 - d^2*sinh((b*x + a)/(d*x + c))^2)","B",0
264,1,113,0,0.519430," ","integrate(exp(b*x+a)*cosh(b*x+a)^4,x, algorithm=""fricas"")","-\frac{\cosh\left(b x + a\right)^{4} - 16 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + \sinh\left(b x + a\right)^{4} + 2 \, {\left(3 \, \cosh\left(b x + a\right)^{2} + 10\right)} \sinh\left(b x + a\right)^{2} + 20 \, \cosh\left(b x + a\right)^{2} - 16 \, {\left(\cosh\left(b x + a\right)^{3} + 5 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 45}{120 \, {\left(b \cosh\left(b x + a\right) - b \sinh\left(b x + a\right)\right)}}"," ",0,"-1/120*(cosh(b*x + a)^4 - 16*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 10)*sinh(b*x + a)^2 + 20*cosh(b*x + a)^2 - 16*(cosh(b*x + a)^3 + 5*cosh(b*x + a))*sinh(b*x + a) - 45)/(b*cosh(b*x + a) - b*sinh(b*x + a))","A",0
265,1,95,0,0.478089," ","integrate(exp(b*x+a)*cosh(b*x+a)^3,x, algorithm=""fricas"")","-\frac{\cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} - 3 \, \sinh\left(b x + a\right)^{3} - 6 \, {\left(2 \, b x + 1\right)} \cosh\left(b x + a\right) + 3 \, {\left(4 \, b x - 3 \, \cosh\left(b x + a\right)^{2} - 2\right)} \sinh\left(b x + a\right)}{32 \, {\left(b \cosh\left(b x + a\right) - b \sinh\left(b x + a\right)\right)}}"," ",0,"-1/32*(cosh(b*x + a)^3 + 3*cosh(b*x + a)*sinh(b*x + a)^2 - 3*sinh(b*x + a)^3 - 6*(2*b*x + 1)*cosh(b*x + a) + 3*(4*b*x - 3*cosh(b*x + a)^2 - 2)*sinh(b*x + a))/(b*cosh(b*x + a) - b*sinh(b*x + a))","B",0
266,1,54,0,0.935178," ","integrate(exp(b*x+a)*cosh(b*x+a)^2,x, algorithm=""fricas"")","-\frac{\cosh\left(b x + a\right)^{2} - 4 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sinh\left(b x + a\right)^{2} - 3}{6 \, {\left(b \cosh\left(b x + a\right) - b \sinh\left(b x + a\right)\right)}}"," ",0,"-1/6*(cosh(b*x + a)^2 - 4*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 3)/(b*cosh(b*x + a) - b*sinh(b*x + a))","A",0
267,1,50,0,0.630443," ","integrate(exp(b*x+a)*cosh(b*x+a),x, algorithm=""fricas"")","\frac{{\left(2 \, b x + 1\right)} \cosh\left(b x + a\right) - {\left(2 \, b x - 1\right)} \sinh\left(b x + a\right)}{4 \, {\left(b \cosh\left(b x + a\right) - b \sinh\left(b x + a\right)\right)}}"," ",0,"1/4*((2*b*x + 1)*cosh(b*x + a) - (2*b*x - 1)*sinh(b*x + a))/(b*cosh(b*x + a) - b*sinh(b*x + a))","B",0
268,1,30,0,0.426677," ","integrate(exp(b*x+a)*sech(b*x+a),x, algorithm=""fricas"")","\frac{\log\left(\frac{2 \, \cosh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right)}{b}"," ",0,"log(2*cosh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a)))/b","A",0
269,1,105,0,0.518810," ","integrate(exp(b*x+a)*sech(b*x+a)^2,x, algorithm=""fricas"")","\frac{2 \, {\left({\left(\cosh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sinh\left(b x + a\right)^{2} + 1\right)} \arctan\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - \cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right)}}{b \cosh\left(b x + a\right)^{2} + 2 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b \sinh\left(b x + a\right)^{2} + b}"," ",0,"2*((cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1)*arctan(cosh(b*x + a) + sinh(b*x + a)) - cosh(b*x + a) - sinh(b*x + a))/(b*cosh(b*x + a)^2 + 2*b*cosh(b*x + a)*sinh(b*x + a) + b*sinh(b*x + a)^2 + b)","B",0
270,1,86,0,0.684572," ","integrate(exp(b*x+a)*sech(b*x+a)^3,x, algorithm=""fricas"")","-\frac{2 \, {\left(3 \, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)}}{b \cosh\left(b x + a\right)^{3} + 3 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + b \sinh\left(b x + a\right)^{3} + 3 \, b \cosh\left(b x + a\right) + {\left(3 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)}"," ",0,"-2*(3*cosh(b*x + a) + sinh(b*x + a))/(b*cosh(b*x + a)^3 + 3*b*cosh(b*x + a)*sinh(b*x + a)^2 + b*sinh(b*x + a)^3 + 3*b*cosh(b*x + a) + (3*b*cosh(b*x + a)^2 + b)*sinh(b*x + a))","B",0
271,1,513,0,0.647420," ","integrate(exp(b*x+a)*sech(b*x+a)^4,x, algorithm=""fricas"")","\frac{3 \, \cosh\left(b x + a\right)^{5} + 15 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} + 3 \, \sinh\left(b x + a\right)^{5} + 2 \, {\left(15 \, \cosh\left(b x + a\right)^{2} - 4\right)} \sinh\left(b x + a\right)^{3} - 8 \, \cosh\left(b x + a\right)^{3} + 6 \, {\left(5 \, \cosh\left(b x + a\right)^{3} - 4 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} + 3 \, {\left(\cosh\left(b x + a\right)^{6} + 6 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + \sinh\left(b x + a\right)^{6} + 3 \, {\left(5 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{4} + 3 \, \cosh\left(b x + a\right)^{4} + 4 \, {\left(5 \, \cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 3 \, {\left(5 \, \cosh\left(b x + a\right)^{4} + 6 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{2} + 3 \, \cosh\left(b x + a\right)^{2} + 6 \, {\left(\cosh\left(b x + a\right)^{5} + 2 \, \cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} \arctan\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 3 \, {\left(5 \, \cosh\left(b x + a\right)^{4} - 8 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right) - 3 \, \cosh\left(b x + a\right)}{3 \, {\left(b \cosh\left(b x + a\right)^{6} + 6 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + b \sinh\left(b x + a\right)^{6} + 3 \, b \cosh\left(b x + a\right)^{4} + 3 \, {\left(5 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)^{4} + 4 \, {\left(5 \, b \cosh\left(b x + a\right)^{3} + 3 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 3 \, b \cosh\left(b x + a\right)^{2} + 3 \, {\left(5 \, b \cosh\left(b x + a\right)^{4} + 6 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)^{2} + 6 \, {\left(b \cosh\left(b x + a\right)^{5} + 2 \, b \cosh\left(b x + a\right)^{3} + b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + b\right)}}"," ",0,"1/3*(3*cosh(b*x + a)^5 + 15*cosh(b*x + a)*sinh(b*x + a)^4 + 3*sinh(b*x + a)^5 + 2*(15*cosh(b*x + a)^2 - 4)*sinh(b*x + a)^3 - 8*cosh(b*x + a)^3 + 6*(5*cosh(b*x + a)^3 - 4*cosh(b*x + a))*sinh(b*x + a)^2 + 3*(cosh(b*x + a)^6 + 6*cosh(b*x + a)*sinh(b*x + a)^5 + sinh(b*x + a)^6 + 3*(5*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^4 + 3*cosh(b*x + a)^4 + 4*(5*cosh(b*x + a)^3 + 3*cosh(b*x + a))*sinh(b*x + a)^3 + 3*(5*cosh(b*x + a)^4 + 6*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 3*cosh(b*x + a)^2 + 6*(cosh(b*x + a)^5 + 2*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*arctan(cosh(b*x + a) + sinh(b*x + a)) + 3*(5*cosh(b*x + a)^4 - 8*cosh(b*x + a)^2 - 1)*sinh(b*x + a) - 3*cosh(b*x + a))/(b*cosh(b*x + a)^6 + 6*b*cosh(b*x + a)*sinh(b*x + a)^5 + b*sinh(b*x + a)^6 + 3*b*cosh(b*x + a)^4 + 3*(5*b*cosh(b*x + a)^2 + b)*sinh(b*x + a)^4 + 4*(5*b*cosh(b*x + a)^3 + 3*b*cosh(b*x + a))*sinh(b*x + a)^3 + 3*b*cosh(b*x + a)^2 + 3*(5*b*cosh(b*x + a)^4 + 6*b*cosh(b*x + a)^2 + b)*sinh(b*x + a)^2 + 6*(b*cosh(b*x + a)^5 + 2*b*cosh(b*x + a)^3 + b*cosh(b*x + a))*sinh(b*x + a) + b)","B",0
272,1,233,0,0.477525," ","integrate(exp(b*x+a)*sech(b*x+a)^5,x, algorithm=""fricas"")","-\frac{4 \, {\left(7 \, \cosh\left(b x + a\right)^{2} + 10 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + 7 \, \sinh\left(b x + a\right)^{2} + 4\right)}}{3 \, {\left(b \cosh\left(b x + a\right)^{6} + 6 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + b \sinh\left(b x + a\right)^{6} + 4 \, b \cosh\left(b x + a\right)^{4} + {\left(15 \, b \cosh\left(b x + a\right)^{2} + 4 \, b\right)} \sinh\left(b x + a\right)^{4} + 4 \, {\left(5 \, b \cosh\left(b x + a\right)^{3} + 4 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 7 \, b \cosh\left(b x + a\right)^{2} + {\left(15 \, b \cosh\left(b x + a\right)^{4} + 24 \, b \cosh\left(b x + a\right)^{2} + 7 \, b\right)} \sinh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b \cosh\left(b x + a\right)^{5} + 8 \, b \cosh\left(b x + a\right)^{3} + 5 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 4 \, b\right)}}"," ",0,"-4/3*(7*cosh(b*x + a)^2 + 10*cosh(b*x + a)*sinh(b*x + a) + 7*sinh(b*x + a)^2 + 4)/(b*cosh(b*x + a)^6 + 6*b*cosh(b*x + a)*sinh(b*x + a)^5 + b*sinh(b*x + a)^6 + 4*b*cosh(b*x + a)^4 + (15*b*cosh(b*x + a)^2 + 4*b)*sinh(b*x + a)^4 + 4*(5*b*cosh(b*x + a)^3 + 4*b*cosh(b*x + a))*sinh(b*x + a)^3 + 7*b*cosh(b*x + a)^2 + (15*b*cosh(b*x + a)^4 + 24*b*cosh(b*x + a)^2 + 7*b)*sinh(b*x + a)^2 + 2*(3*b*cosh(b*x + a)^5 + 8*b*cosh(b*x + a)^3 + 5*b*cosh(b*x + a))*sinh(b*x + a) + 4*b)","B",0
273,1,47,0,0.435386," ","integrate(exp(x)*cosh(2*x)^2,x, algorithm=""fricas"")","-\frac{\cosh\left(x\right)^{4} - 16 \, \cosh\left(x\right)^{3} \sinh\left(x\right) + 6 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{2} - 16 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} - 15}{30 \, {\left(\cosh\left(x\right) - \sinh\left(x\right)\right)}}"," ",0,"-1/30*(cosh(x)^4 - 16*cosh(x)^3*sinh(x) + 6*cosh(x)^2*sinh(x)^2 - 16*cosh(x)*sinh(x)^3 + sinh(x)^4 - 15)/(cosh(x) - sinh(x))","B",0
274,1,26,0,0.564209," ","integrate(exp(x)*cosh(2*x),x, algorithm=""fricas"")","-\frac{\cosh\left(x\right)^{2} - 4 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}}{3 \, {\left(\cosh\left(x\right) - \sinh\left(x\right)\right)}}"," ",0,"-1/3*(cosh(x)^2 - 4*cosh(x)*sinh(x) + sinh(x)^2)/(cosh(x) - sinh(x))","A",0
275,1,113,0,0.585427," ","integrate(exp(x)*sech(2*x),x, algorithm=""fricas"")","-\sqrt{2} \arctan\left(-\sqrt{2} e^{x} + \sqrt{2} \sqrt{\sqrt{2} e^{x} + e^{\left(2 \, x\right)} + 1} - 1\right) - \sqrt{2} \arctan\left(-\sqrt{2} e^{x} + \frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4} + 1\right) - \frac{1}{4} \, \sqrt{2} \log\left(4 \, \sqrt{2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) + \frac{1}{4} \, \sqrt{2} \log\left(-4 \, \sqrt{2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right)"," ",0,"-sqrt(2)*arctan(-sqrt(2)*e^x + sqrt(2)*sqrt(sqrt(2)*e^x + e^(2*x) + 1) - 1) - sqrt(2)*arctan(-sqrt(2)*e^x + 1/2*sqrt(2)*sqrt(-4*sqrt(2)*e^x + 4*e^(2*x) + 4) + 1) - 1/4*sqrt(2)*log(4*sqrt(2)*e^x + 4*e^(2*x) + 4) + 1/4*sqrt(2)*log(-4*sqrt(2)*e^x + 4*e^(2*x) + 4)","A",0
276,1,162,0,0.539711," ","integrate(exp(x)*sech(2*x)^2,x, algorithm=""fricas"")","-\frac{4 \, {\left(\sqrt{2} e^{\left(4 \, x\right)} + \sqrt{2}\right)} \arctan\left(-\sqrt{2} e^{x} + \sqrt{2} \sqrt{\sqrt{2} e^{x} + e^{\left(2 \, x\right)} + 1} - 1\right) + 4 \, {\left(\sqrt{2} e^{\left(4 \, x\right)} + \sqrt{2}\right)} \arctan\left(-\sqrt{2} e^{x} + \frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4} + 1\right) - {\left(\sqrt{2} e^{\left(4 \, x\right)} + \sqrt{2}\right)} \log\left(4 \, \sqrt{2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) + {\left(\sqrt{2} e^{\left(4 \, x\right)} + \sqrt{2}\right)} \log\left(-4 \, \sqrt{2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) + 8 \, e^{x}}{8 \, {\left(e^{\left(4 \, x\right)} + 1\right)}}"," ",0,"-1/8*(4*(sqrt(2)*e^(4*x) + sqrt(2))*arctan(-sqrt(2)*e^x + sqrt(2)*sqrt(sqrt(2)*e^x + e^(2*x) + 1) - 1) + 4*(sqrt(2)*e^(4*x) + sqrt(2))*arctan(-sqrt(2)*e^x + 1/2*sqrt(2)*sqrt(-4*sqrt(2)*e^x + 4*e^(2*x) + 4) + 1) - (sqrt(2)*e^(4*x) + sqrt(2))*log(4*sqrt(2)*e^x + 4*e^(2*x) + 4) + (sqrt(2)*e^(4*x) + sqrt(2))*log(-4*sqrt(2)*e^x + 4*e^(2*x) + 4) + 8*e^x)/(e^(4*x) + 1)","B",0
277,1,67,0,0.469561," ","integrate(exp(x)*cosh(3*x)^2,x, algorithm=""fricas"")","-\frac{\cosh\left(x\right)^{6} - 36 \, \cosh\left(x\right)^{5} \sinh\left(x\right) + 15 \, \cosh\left(x\right)^{4} \sinh\left(x\right)^{2} - 120 \, \cosh\left(x\right)^{3} \sinh\left(x\right)^{3} + 15 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{4} - 36 \, \cosh\left(x\right) \sinh\left(x\right)^{5} + \sinh\left(x\right)^{6} - 35}{70 \, {\left(\cosh\left(x\right) - \sinh\left(x\right)\right)}}"," ",0,"-1/70*(cosh(x)^6 - 36*cosh(x)^5*sinh(x) + 15*cosh(x)^4*sinh(x)^2 - 120*cosh(x)^3*sinh(x)^3 + 15*cosh(x)^2*sinh(x)^4 - 36*cosh(x)*sinh(x)^5 + sinh(x)^6 - 35)/(cosh(x) - sinh(x))","B",0
278,1,38,0,0.628041," ","integrate(exp(x)*cosh(3*x),x, algorithm=""fricas"")","-\frac{\cosh\left(x\right)^{3} - 9 \, \cosh\left(x\right)^{2} \sinh\left(x\right) + 3 \, \cosh\left(x\right) \sinh\left(x\right)^{2} - 3 \, \sinh\left(x\right)^{3}}{8 \, {\left(\cosh\left(x\right) - \sinh\left(x\right)\right)}}"," ",0,"-1/8*(cosh(x)^3 - 9*cosh(x)^2*sinh(x) + 3*cosh(x)*sinh(x)^2 - 3*sinh(x)^3)/(cosh(x) - sinh(x))","B",0
279,1,83,0,0.527915," ","integrate(exp(x)*sech(3*x),x, algorithm=""fricas"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(-\frac{\sqrt{3} \cosh\left(x\right) + 3 \, \sqrt{3} \sinh\left(x\right)}{3 \, {\left(\cosh\left(x\right) - \sinh\left(x\right)\right)}}\right) + \frac{1}{6} \, \log\left(\frac{2 \, \cosh\left(x\right)^{2} + 2 \, \sinh\left(x\right)^{2} - 1}{\cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}}\right) - \frac{1}{3} \, \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right)"," ",0,"-1/3*sqrt(3)*arctan(-1/3*(sqrt(3)*cosh(x) + 3*sqrt(3)*sinh(x))/(cosh(x) - sinh(x))) + 1/6*log((2*cosh(x)^2 + 2*sinh(x)^2 - 1)/(cosh(x)^2 - 2*cosh(x)*sinh(x) + sinh(x)^2)) - 1/3*log(2*cosh(x)/(cosh(x) - sinh(x)))","A",0
280,1,154,0,0.767395," ","integrate(exp(x)*sech(3*x)^2,x, algorithm=""fricas"")","-\frac{4 \, {\left(e^{\left(6 \, x\right)} + 1\right)} \arctan\left(\sqrt{3} + \sqrt{-4 \, \sqrt{3} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4} - 2 \, e^{x}\right) + 4 \, {\left(e^{\left(6 \, x\right)} + 1\right)} \arctan\left(-\sqrt{3} + 2 \, \sqrt{\sqrt{3} e^{x} + e^{\left(2 \, x\right)} + 1} - 2 \, e^{x}\right) - 4 \, {\left(e^{\left(6 \, x\right)} + 1\right)} \arctan\left(e^{x}\right) - {\left(\sqrt{3} e^{\left(6 \, x\right)} + \sqrt{3}\right)} \log\left(4 \, \sqrt{3} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) + {\left(\sqrt{3} e^{\left(6 \, x\right)} + \sqrt{3}\right)} \log\left(-4 \, \sqrt{3} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) + 12 \, e^{x}}{18 \, {\left(e^{\left(6 \, x\right)} + 1\right)}}"," ",0,"-1/18*(4*(e^(6*x) + 1)*arctan(sqrt(3) + sqrt(-4*sqrt(3)*e^x + 4*e^(2*x) + 4) - 2*e^x) + 4*(e^(6*x) + 1)*arctan(-sqrt(3) + 2*sqrt(sqrt(3)*e^x + e^(2*x) + 1) - 2*e^x) - 4*(e^(6*x) + 1)*arctan(e^x) - (sqrt(3)*e^(6*x) + sqrt(3))*log(4*sqrt(3)*e^x + 4*e^(2*x) + 4) + (sqrt(3)*e^(6*x) + sqrt(3))*log(-4*sqrt(3)*e^x + 4*e^(2*x) + 4) + 12*e^x)/(e^(6*x) + 1)","A",0
281,1,87,0,0.506488," ","integrate(exp(x)*cosh(4*x)^2,x, algorithm=""fricas"")","-\frac{\cosh\left(x\right)^{8} - 64 \, \cosh\left(x\right)^{7} \sinh\left(x\right) + 28 \, \cosh\left(x\right)^{6} \sinh\left(x\right)^{2} - 448 \, \cosh\left(x\right)^{5} \sinh\left(x\right)^{3} + 70 \, \cosh\left(x\right)^{4} \sinh\left(x\right)^{4} - 448 \, \cosh\left(x\right)^{3} \sinh\left(x\right)^{5} + 28 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{6} - 64 \, \cosh\left(x\right) \sinh\left(x\right)^{7} + \sinh\left(x\right)^{8} - 63}{126 \, {\left(\cosh\left(x\right) - \sinh\left(x\right)\right)}}"," ",0,"-1/126*(cosh(x)^8 - 64*cosh(x)^7*sinh(x) + 28*cosh(x)^6*sinh(x)^2 - 448*cosh(x)^5*sinh(x)^3 + 70*cosh(x)^4*sinh(x)^4 - 448*cosh(x)^3*sinh(x)^5 + 28*cosh(x)^2*sinh(x)^6 - 64*cosh(x)*sinh(x)^7 + sinh(x)^8 - 63)/(cosh(x) - sinh(x))","B",0
282,1,46,0,1.413946," ","integrate(exp(x)*cosh(4*x),x, algorithm=""fricas"")","-\frac{\cosh\left(x\right)^{4} - 16 \, \cosh\left(x\right)^{3} \sinh\left(x\right) + 6 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{2} - 16 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4}}{15 \, {\left(\cosh\left(x\right) - \sinh\left(x\right)\right)}}"," ",0,"-1/15*(cosh(x)^4 - 16*cosh(x)^3*sinh(x) + 6*cosh(x)^2*sinh(x)^2 - 16*cosh(x)*sinh(x)^3 + sinh(x)^4)/(cosh(x) - sinh(x))","B",0
283,1,1087,0,0.610660," ","integrate(exp(x)*sech(4*x),x, algorithm=""fricas"")","\frac{1}{8} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} - \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \arctan\left(-\frac{2 \, \sqrt{2} e^{x} - \sqrt{2} \sqrt{2 \, \sqrt{2} \sqrt{\sqrt{2} + 2} e^{x} - 2 \, \sqrt{2} \sqrt{-\sqrt{2} + 2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4} + \sqrt{\sqrt{2} + 2} - \sqrt{-\sqrt{2} + 2}}{\sqrt{\sqrt{2} + 2} + \sqrt{-\sqrt{2} + 2}}\right) + \frac{1}{8} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} - \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \arctan\left(-\frac{2 \, \sqrt{2} e^{x} - \sqrt{2} \sqrt{-2 \, \sqrt{2} \sqrt{\sqrt{2} + 2} e^{x} + 2 \, \sqrt{2} \sqrt{-\sqrt{2} + 2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4} - \sqrt{\sqrt{2} + 2} + \sqrt{-\sqrt{2} + 2}}{\sqrt{\sqrt{2} + 2} + \sqrt{-\sqrt{2} + 2}}\right) + \frac{1}{8} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} + \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \arctan\left(\frac{2 \, \sqrt{2} e^{x} - \sqrt{2} \sqrt{2 \, \sqrt{2} \sqrt{\sqrt{2} + 2} e^{x} + 2 \, \sqrt{2} \sqrt{-\sqrt{2} + 2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4} + \sqrt{\sqrt{2} + 2} + \sqrt{-\sqrt{2} + 2}}{\sqrt{\sqrt{2} + 2} - \sqrt{-\sqrt{2} + 2}}\right) + \frac{1}{8} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} + \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \arctan\left(\frac{2 \, \sqrt{2} e^{x} - \sqrt{2} \sqrt{-2 \, \sqrt{2} \sqrt{\sqrt{2} + 2} e^{x} - 2 \, \sqrt{2} \sqrt{-\sqrt{2} + 2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4} - \sqrt{\sqrt{2} + 2} - \sqrt{-\sqrt{2} + 2}}{\sqrt{\sqrt{2} + 2} - \sqrt{-\sqrt{2} + 2}}\right) - \frac{1}{32} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} - \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \log\left(2 \, \sqrt{2} \sqrt{\sqrt{2} + 2} e^{x} + 2 \, \sqrt{2} \sqrt{-\sqrt{2} + 2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) + \frac{1}{32} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} + \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \log\left(2 \, \sqrt{2} \sqrt{\sqrt{2} + 2} e^{x} - 2 \, \sqrt{2} \sqrt{-\sqrt{2} + 2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) - \frac{1}{32} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} + \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \log\left(-2 \, \sqrt{2} \sqrt{\sqrt{2} + 2} e^{x} + 2 \, \sqrt{2} \sqrt{-\sqrt{2} + 2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) + \frac{1}{32} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} - \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \log\left(-2 \, \sqrt{2} \sqrt{\sqrt{2} + 2} e^{x} - 2 \, \sqrt{2} \sqrt{-\sqrt{2} + 2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) - \frac{1}{4} \, \sqrt{\sqrt{2} + 2} \arctan\left(\frac{2 \, \sqrt{\sqrt{\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1} - \sqrt{\sqrt{2} + 2} - 2 \, e^{x}}{\sqrt{-\sqrt{2} + 2}}\right) - \frac{1}{4} \, \sqrt{\sqrt{2} + 2} \arctan\left(\frac{2 \, \sqrt{-\sqrt{\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1} + \sqrt{\sqrt{2} + 2} - 2 \, e^{x}}{\sqrt{-\sqrt{2} + 2}}\right) + \frac{1}{4} \, \sqrt{-\sqrt{2} + 2} \arctan\left(\frac{2 \, \sqrt{\sqrt{-\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1} - \sqrt{-\sqrt{2} + 2} - 2 \, e^{x}}{\sqrt{\sqrt{2} + 2}}\right) + \frac{1}{4} \, \sqrt{-\sqrt{2} + 2} \arctan\left(\frac{2 \, \sqrt{-\sqrt{-\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1} + \sqrt{-\sqrt{2} + 2} - 2 \, e^{x}}{\sqrt{\sqrt{2} + 2}}\right) - \frac{1}{16} \, \sqrt{-\sqrt{2} + 2} \log\left(\sqrt{\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1\right) + \frac{1}{16} \, \sqrt{-\sqrt{2} + 2} \log\left(-\sqrt{\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1\right) + \frac{1}{16} \, \sqrt{\sqrt{2} + 2} \log\left(\sqrt{-\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1\right) - \frac{1}{16} \, \sqrt{\sqrt{2} + 2} \log\left(-\sqrt{-\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1\right)"," ",0,"1/8*(sqrt(2)*sqrt(sqrt(2) + 2) - sqrt(2)*sqrt(-sqrt(2) + 2))*arctan(-(2*sqrt(2)*e^x - sqrt(2)*sqrt(2*sqrt(2)*sqrt(sqrt(2) + 2)*e^x - 2*sqrt(2)*sqrt(-sqrt(2) + 2)*e^x + 4*e^(2*x) + 4) + sqrt(sqrt(2) + 2) - sqrt(-sqrt(2) + 2))/(sqrt(sqrt(2) + 2) + sqrt(-sqrt(2) + 2))) + 1/8*(sqrt(2)*sqrt(sqrt(2) + 2) - sqrt(2)*sqrt(-sqrt(2) + 2))*arctan(-(2*sqrt(2)*e^x - sqrt(2)*sqrt(-2*sqrt(2)*sqrt(sqrt(2) + 2)*e^x + 2*sqrt(2)*sqrt(-sqrt(2) + 2)*e^x + 4*e^(2*x) + 4) - sqrt(sqrt(2) + 2) + sqrt(-sqrt(2) + 2))/(sqrt(sqrt(2) + 2) + sqrt(-sqrt(2) + 2))) + 1/8*(sqrt(2)*sqrt(sqrt(2) + 2) + sqrt(2)*sqrt(-sqrt(2) + 2))*arctan((2*sqrt(2)*e^x - sqrt(2)*sqrt(2*sqrt(2)*sqrt(sqrt(2) + 2)*e^x + 2*sqrt(2)*sqrt(-sqrt(2) + 2)*e^x + 4*e^(2*x) + 4) + sqrt(sqrt(2) + 2) + sqrt(-sqrt(2) + 2))/(sqrt(sqrt(2) + 2) - sqrt(-sqrt(2) + 2))) + 1/8*(sqrt(2)*sqrt(sqrt(2) + 2) + sqrt(2)*sqrt(-sqrt(2) + 2))*arctan((2*sqrt(2)*e^x - sqrt(2)*sqrt(-2*sqrt(2)*sqrt(sqrt(2) + 2)*e^x - 2*sqrt(2)*sqrt(-sqrt(2) + 2)*e^x + 4*e^(2*x) + 4) - sqrt(sqrt(2) + 2) - sqrt(-sqrt(2) + 2))/(sqrt(sqrt(2) + 2) - sqrt(-sqrt(2) + 2))) - 1/32*(sqrt(2)*sqrt(sqrt(2) + 2) - sqrt(2)*sqrt(-sqrt(2) + 2))*log(2*sqrt(2)*sqrt(sqrt(2) + 2)*e^x + 2*sqrt(2)*sqrt(-sqrt(2) + 2)*e^x + 4*e^(2*x) + 4) + 1/32*(sqrt(2)*sqrt(sqrt(2) + 2) + sqrt(2)*sqrt(-sqrt(2) + 2))*log(2*sqrt(2)*sqrt(sqrt(2) + 2)*e^x - 2*sqrt(2)*sqrt(-sqrt(2) + 2)*e^x + 4*e^(2*x) + 4) - 1/32*(sqrt(2)*sqrt(sqrt(2) + 2) + sqrt(2)*sqrt(-sqrt(2) + 2))*log(-2*sqrt(2)*sqrt(sqrt(2) + 2)*e^x + 2*sqrt(2)*sqrt(-sqrt(2) + 2)*e^x + 4*e^(2*x) + 4) + 1/32*(sqrt(2)*sqrt(sqrt(2) + 2) - sqrt(2)*sqrt(-sqrt(2) + 2))*log(-2*sqrt(2)*sqrt(sqrt(2) + 2)*e^x - 2*sqrt(2)*sqrt(-sqrt(2) + 2)*e^x + 4*e^(2*x) + 4) - 1/4*sqrt(sqrt(2) + 2)*arctan((2*sqrt(sqrt(sqrt(2) + 2)*e^x + e^(2*x) + 1) - sqrt(sqrt(2) + 2) - 2*e^x)/sqrt(-sqrt(2) + 2)) - 1/4*sqrt(sqrt(2) + 2)*arctan((2*sqrt(-sqrt(sqrt(2) + 2)*e^x + e^(2*x) + 1) + sqrt(sqrt(2) + 2) - 2*e^x)/sqrt(-sqrt(2) + 2)) + 1/4*sqrt(-sqrt(2) + 2)*arctan((2*sqrt(sqrt(-sqrt(2) + 2)*e^x + e^(2*x) + 1) - sqrt(-sqrt(2) + 2) - 2*e^x)/sqrt(sqrt(2) + 2)) + 1/4*sqrt(-sqrt(2) + 2)*arctan((2*sqrt(-sqrt(-sqrt(2) + 2)*e^x + e^(2*x) + 1) + sqrt(-sqrt(2) + 2) - 2*e^x)/sqrt(sqrt(2) + 2)) - 1/16*sqrt(-sqrt(2) + 2)*log(sqrt(sqrt(2) + 2)*e^x + e^(2*x) + 1) + 1/16*sqrt(-sqrt(2) + 2)*log(-sqrt(sqrt(2) + 2)*e^x + e^(2*x) + 1) + 1/16*sqrt(sqrt(2) + 2)*log(sqrt(-sqrt(2) + 2)*e^x + e^(2*x) + 1) - 1/16*sqrt(sqrt(2) + 2)*log(-sqrt(-sqrt(2) + 2)*e^x + e^(2*x) + 1)","B",0
284,1,1367,0,0.536059," ","integrate(exp(x)*sech(4*x)^2,x, algorithm=""fricas"")","-\frac{8 \, \sqrt{-\sqrt{2} + 2} {\left(e^{\left(8 \, x\right)} + 1\right)} \arctan\left(\frac{2 \, \sqrt{\sqrt{\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1} - \sqrt{\sqrt{2} + 2} - 2 \, e^{x}}{\sqrt{-\sqrt{2} + 2}}\right) + 8 \, \sqrt{-\sqrt{2} + 2} {\left(e^{\left(8 \, x\right)} + 1\right)} \arctan\left(\frac{2 \, \sqrt{-\sqrt{\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1} + \sqrt{\sqrt{2} + 2} - 2 \, e^{x}}{\sqrt{-\sqrt{2} + 2}}\right) - 2 \, \sqrt{-\sqrt{2} + 2} {\left(e^{\left(8 \, x\right)} + 1\right)} \log\left(\sqrt{-\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1\right) + 2 \, \sqrt{-\sqrt{2} + 2} {\left(e^{\left(8 \, x\right)} + 1\right)} \log\left(-\sqrt{-\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1\right) + 8 \, {\left(\sqrt{\sqrt{2} + 2} e^{\left(8 \, x\right)} + \sqrt{\sqrt{2} + 2}\right)} \arctan\left(\frac{2 \, \sqrt{\sqrt{-\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1} - \sqrt{-\sqrt{2} + 2} - 2 \, e^{x}}{\sqrt{\sqrt{2} + 2}}\right) + 8 \, {\left(\sqrt{\sqrt{2} + 2} e^{\left(8 \, x\right)} + \sqrt{\sqrt{2} + 2}\right)} \arctan\left(\frac{2 \, \sqrt{-\sqrt{-\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1} + \sqrt{-\sqrt{2} + 2} - 2 \, e^{x}}{\sqrt{\sqrt{2} + 2}}\right) + 4 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} e^{\left(8 \, x\right)} + {\left(\sqrt{2} e^{\left(8 \, x\right)} + \sqrt{2}\right)} \sqrt{-\sqrt{2} + 2} + \sqrt{2} \sqrt{\sqrt{2} + 2}\right)} \arctan\left(-\frac{2 \, \sqrt{2} e^{x} - \sqrt{2} \sqrt{2 \, \sqrt{2} \sqrt{\sqrt{2} + 2} e^{x} - 2 \, \sqrt{2} \sqrt{-\sqrt{2} + 2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4} + \sqrt{\sqrt{2} + 2} - \sqrt{-\sqrt{2} + 2}}{\sqrt{\sqrt{2} + 2} + \sqrt{-\sqrt{2} + 2}}\right) + 4 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} e^{\left(8 \, x\right)} + {\left(\sqrt{2} e^{\left(8 \, x\right)} + \sqrt{2}\right)} \sqrt{-\sqrt{2} + 2} + \sqrt{2} \sqrt{\sqrt{2} + 2}\right)} \arctan\left(-\frac{2 \, \sqrt{2} e^{x} - \sqrt{2} \sqrt{-2 \, \sqrt{2} \sqrt{\sqrt{2} + 2} e^{x} + 2 \, \sqrt{2} \sqrt{-\sqrt{2} + 2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4} - \sqrt{\sqrt{2} + 2} + \sqrt{-\sqrt{2} + 2}}{\sqrt{\sqrt{2} + 2} + \sqrt{-\sqrt{2} + 2}}\right) - 4 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} e^{\left(8 \, x\right)} - {\left(\sqrt{2} e^{\left(8 \, x\right)} + \sqrt{2}\right)} \sqrt{-\sqrt{2} + 2} + \sqrt{2} \sqrt{\sqrt{2} + 2}\right)} \arctan\left(\frac{2 \, \sqrt{2} e^{x} - \sqrt{2} \sqrt{2 \, \sqrt{2} \sqrt{\sqrt{2} + 2} e^{x} + 2 \, \sqrt{2} \sqrt{-\sqrt{2} + 2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4} + \sqrt{\sqrt{2} + 2} + \sqrt{-\sqrt{2} + 2}}{\sqrt{\sqrt{2} + 2} - \sqrt{-\sqrt{2} + 2}}\right) - 4 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} e^{\left(8 \, x\right)} - {\left(\sqrt{2} e^{\left(8 \, x\right)} + \sqrt{2}\right)} \sqrt{-\sqrt{2} + 2} + \sqrt{2} \sqrt{\sqrt{2} + 2}\right)} \arctan\left(\frac{2 \, \sqrt{2} e^{x} - \sqrt{2} \sqrt{-2 \, \sqrt{2} \sqrt{\sqrt{2} + 2} e^{x} - 2 \, \sqrt{2} \sqrt{-\sqrt{2} + 2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4} - \sqrt{\sqrt{2} + 2} - \sqrt{-\sqrt{2} + 2}}{\sqrt{\sqrt{2} + 2} - \sqrt{-\sqrt{2} + 2}}\right) - {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} e^{\left(8 \, x\right)} + {\left(\sqrt{2} e^{\left(8 \, x\right)} + \sqrt{2}\right)} \sqrt{-\sqrt{2} + 2} + \sqrt{2} \sqrt{\sqrt{2} + 2}\right)} \log\left(2 \, \sqrt{2} \sqrt{\sqrt{2} + 2} e^{x} + 2 \, \sqrt{2} \sqrt{-\sqrt{2} + 2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) - {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} e^{\left(8 \, x\right)} - {\left(\sqrt{2} e^{\left(8 \, x\right)} + \sqrt{2}\right)} \sqrt{-\sqrt{2} + 2} + \sqrt{2} \sqrt{\sqrt{2} + 2}\right)} \log\left(2 \, \sqrt{2} \sqrt{\sqrt{2} + 2} e^{x} - 2 \, \sqrt{2} \sqrt{-\sqrt{2} + 2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) + {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} e^{\left(8 \, x\right)} - {\left(\sqrt{2} e^{\left(8 \, x\right)} + \sqrt{2}\right)} \sqrt{-\sqrt{2} + 2} + \sqrt{2} \sqrt{\sqrt{2} + 2}\right)} \log\left(-2 \, \sqrt{2} \sqrt{\sqrt{2} + 2} e^{x} + 2 \, \sqrt{2} \sqrt{-\sqrt{2} + 2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) + {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} e^{\left(8 \, x\right)} + {\left(\sqrt{2} e^{\left(8 \, x\right)} + \sqrt{2}\right)} \sqrt{-\sqrt{2} + 2} + \sqrt{2} \sqrt{\sqrt{2} + 2}\right)} \log\left(-2 \, \sqrt{2} \sqrt{\sqrt{2} + 2} e^{x} - 2 \, \sqrt{2} \sqrt{-\sqrt{2} + 2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) - 2 \, {\left(\sqrt{\sqrt{2} + 2} e^{\left(8 \, x\right)} + \sqrt{\sqrt{2} + 2}\right)} \log\left(\sqrt{\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1\right) + 2 \, {\left(\sqrt{\sqrt{2} + 2} e^{\left(8 \, x\right)} + \sqrt{\sqrt{2} + 2}\right)} \log\left(-\sqrt{\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1\right) + 64 \, e^{x}}{128 \, {\left(e^{\left(8 \, x\right)} + 1\right)}}"," ",0,"-1/128*(8*sqrt(-sqrt(2) + 2)*(e^(8*x) + 1)*arctan((2*sqrt(sqrt(sqrt(2) + 2)*e^x + e^(2*x) + 1) - sqrt(sqrt(2) + 2) - 2*e^x)/sqrt(-sqrt(2) + 2)) + 8*sqrt(-sqrt(2) + 2)*(e^(8*x) + 1)*arctan((2*sqrt(-sqrt(sqrt(2) + 2)*e^x + e^(2*x) + 1) + sqrt(sqrt(2) + 2) - 2*e^x)/sqrt(-sqrt(2) + 2)) - 2*sqrt(-sqrt(2) + 2)*(e^(8*x) + 1)*log(sqrt(-sqrt(2) + 2)*e^x + e^(2*x) + 1) + 2*sqrt(-sqrt(2) + 2)*(e^(8*x) + 1)*log(-sqrt(-sqrt(2) + 2)*e^x + e^(2*x) + 1) + 8*(sqrt(sqrt(2) + 2)*e^(8*x) + sqrt(sqrt(2) + 2))*arctan((2*sqrt(sqrt(-sqrt(2) + 2)*e^x + e^(2*x) + 1) - sqrt(-sqrt(2) + 2) - 2*e^x)/sqrt(sqrt(2) + 2)) + 8*(sqrt(sqrt(2) + 2)*e^(8*x) + sqrt(sqrt(2) + 2))*arctan((2*sqrt(-sqrt(-sqrt(2) + 2)*e^x + e^(2*x) + 1) + sqrt(-sqrt(2) + 2) - 2*e^x)/sqrt(sqrt(2) + 2)) + 4*(sqrt(2)*sqrt(sqrt(2) + 2)*e^(8*x) + (sqrt(2)*e^(8*x) + sqrt(2))*sqrt(-sqrt(2) + 2) + sqrt(2)*sqrt(sqrt(2) + 2))*arctan(-(2*sqrt(2)*e^x - sqrt(2)*sqrt(2*sqrt(2)*sqrt(sqrt(2) + 2)*e^x - 2*sqrt(2)*sqrt(-sqrt(2) + 2)*e^x + 4*e^(2*x) + 4) + sqrt(sqrt(2) + 2) - sqrt(-sqrt(2) + 2))/(sqrt(sqrt(2) + 2) + sqrt(-sqrt(2) + 2))) + 4*(sqrt(2)*sqrt(sqrt(2) + 2)*e^(8*x) + (sqrt(2)*e^(8*x) + sqrt(2))*sqrt(-sqrt(2) + 2) + sqrt(2)*sqrt(sqrt(2) + 2))*arctan(-(2*sqrt(2)*e^x - sqrt(2)*sqrt(-2*sqrt(2)*sqrt(sqrt(2) + 2)*e^x + 2*sqrt(2)*sqrt(-sqrt(2) + 2)*e^x + 4*e^(2*x) + 4) - sqrt(sqrt(2) + 2) + sqrt(-sqrt(2) + 2))/(sqrt(sqrt(2) + 2) + sqrt(-sqrt(2) + 2))) - 4*(sqrt(2)*sqrt(sqrt(2) + 2)*e^(8*x) - (sqrt(2)*e^(8*x) + sqrt(2))*sqrt(-sqrt(2) + 2) + sqrt(2)*sqrt(sqrt(2) + 2))*arctan((2*sqrt(2)*e^x - sqrt(2)*sqrt(2*sqrt(2)*sqrt(sqrt(2) + 2)*e^x + 2*sqrt(2)*sqrt(-sqrt(2) + 2)*e^x + 4*e^(2*x) + 4) + sqrt(sqrt(2) + 2) + sqrt(-sqrt(2) + 2))/(sqrt(sqrt(2) + 2) - sqrt(-sqrt(2) + 2))) - 4*(sqrt(2)*sqrt(sqrt(2) + 2)*e^(8*x) - (sqrt(2)*e^(8*x) + sqrt(2))*sqrt(-sqrt(2) + 2) + sqrt(2)*sqrt(sqrt(2) + 2))*arctan((2*sqrt(2)*e^x - sqrt(2)*sqrt(-2*sqrt(2)*sqrt(sqrt(2) + 2)*e^x - 2*sqrt(2)*sqrt(-sqrt(2) + 2)*e^x + 4*e^(2*x) + 4) - sqrt(sqrt(2) + 2) - sqrt(-sqrt(2) + 2))/(sqrt(sqrt(2) + 2) - sqrt(-sqrt(2) + 2))) - (sqrt(2)*sqrt(sqrt(2) + 2)*e^(8*x) + (sqrt(2)*e^(8*x) + sqrt(2))*sqrt(-sqrt(2) + 2) + sqrt(2)*sqrt(sqrt(2) + 2))*log(2*sqrt(2)*sqrt(sqrt(2) + 2)*e^x + 2*sqrt(2)*sqrt(-sqrt(2) + 2)*e^x + 4*e^(2*x) + 4) - (sqrt(2)*sqrt(sqrt(2) + 2)*e^(8*x) - (sqrt(2)*e^(8*x) + sqrt(2))*sqrt(-sqrt(2) + 2) + sqrt(2)*sqrt(sqrt(2) + 2))*log(2*sqrt(2)*sqrt(sqrt(2) + 2)*e^x - 2*sqrt(2)*sqrt(-sqrt(2) + 2)*e^x + 4*e^(2*x) + 4) + (sqrt(2)*sqrt(sqrt(2) + 2)*e^(8*x) - (sqrt(2)*e^(8*x) + sqrt(2))*sqrt(-sqrt(2) + 2) + sqrt(2)*sqrt(sqrt(2) + 2))*log(-2*sqrt(2)*sqrt(sqrt(2) + 2)*e^x + 2*sqrt(2)*sqrt(-sqrt(2) + 2)*e^x + 4*e^(2*x) + 4) + (sqrt(2)*sqrt(sqrt(2) + 2)*e^(8*x) + (sqrt(2)*e^(8*x) + sqrt(2))*sqrt(-sqrt(2) + 2) + sqrt(2)*sqrt(sqrt(2) + 2))*log(-2*sqrt(2)*sqrt(sqrt(2) + 2)*e^x - 2*sqrt(2)*sqrt(-sqrt(2) + 2)*e^x + 4*e^(2*x) + 4) - 2*(sqrt(sqrt(2) + 2)*e^(8*x) + sqrt(sqrt(2) + 2))*log(sqrt(sqrt(2) + 2)*e^x + e^(2*x) + 1) + 2*(sqrt(sqrt(2) + 2)*e^(8*x) + sqrt(sqrt(2) + 2))*log(-sqrt(sqrt(2) + 2)*e^x + e^(2*x) + 1) + 64*e^x)/(e^(8*x) + 1)","B",0
285,1,2218,0,0.653187," ","integrate(F^(c*(b*x+a))*cosh(e*x+d)^3,x, algorithm=""fricas"")","\frac{{\left(3 \, e^{3} \cosh\left(e x + d\right)^{6} + 27 \, e^{3} \cosh\left(e x + d\right)^{4} + {\left(b^{3} c^{3} \log\left(F\right)^{3} - 3 \, b^{2} c^{2} e \log\left(F\right)^{2} - b c e^{2} \log\left(F\right) + 3 \, e^{3}\right)} \sinh\left(e x + d\right)^{6} + 6 \, {\left(b^{3} c^{3} \cosh\left(e x + d\right) \log\left(F\right)^{3} - 3 \, b^{2} c^{2} e \cosh\left(e x + d\right) \log\left(F\right)^{2} - b c e^{2} \cosh\left(e x + d\right) \log\left(F\right) + 3 \, e^{3} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)^{5} - 27 \, e^{3} \cosh\left(e x + d\right)^{2} + 3 \, {\left(15 \, e^{3} \cosh\left(e x + d\right)^{2} + {\left(5 \, b^{3} c^{3} \cosh\left(e x + d\right)^{2} + b^{3} c^{3}\right)} \log\left(F\right)^{3} + 9 \, e^{3} - {\left(15 \, b^{2} c^{2} e \cosh\left(e x + d\right)^{2} + b^{2} c^{2} e\right)} \log\left(F\right)^{2} - {\left(5 \, b c e^{2} \cosh\left(e x + d\right)^{2} + 9 \, b c e^{2}\right)} \log\left(F\right)\right)} \sinh\left(e x + d\right)^{4} + {\left(b^{3} c^{3} \cosh\left(e x + d\right)^{6} + 3 \, b^{3} c^{3} \cosh\left(e x + d\right)^{4} + 3 \, b^{3} c^{3} \cosh\left(e x + d\right)^{2} + b^{3} c^{3}\right)} \log\left(F\right)^{3} + 4 \, {\left(15 \, e^{3} \cosh\left(e x + d\right)^{3} + 27 \, e^{3} \cosh\left(e x + d\right) + {\left(5 \, b^{3} c^{3} \cosh\left(e x + d\right)^{3} + 3 \, b^{3} c^{3} \cosh\left(e x + d\right)\right)} \log\left(F\right)^{3} - 3 \, {\left(5 \, b^{2} c^{2} e \cosh\left(e x + d\right)^{3} + b^{2} c^{2} e \cosh\left(e x + d\right)\right)} \log\left(F\right)^{2} - {\left(5 \, b c e^{2} \cosh\left(e x + d\right)^{3} + 27 \, b c e^{2} \cosh\left(e x + d\right)\right)} \log\left(F\right)\right)} \sinh\left(e x + d\right)^{3} - 3 \, e^{3} - 3 \, {\left(b^{2} c^{2} e \cosh\left(e x + d\right)^{6} + b^{2} c^{2} e \cosh\left(e x + d\right)^{4} - b^{2} c^{2} e \cosh\left(e x + d\right)^{2} - b^{2} c^{2} e\right)} \log\left(F\right)^{2} + 3 \, {\left(15 \, e^{3} \cosh\left(e x + d\right)^{4} + 54 \, e^{3} \cosh\left(e x + d\right)^{2} + {\left(5 \, b^{3} c^{3} \cosh\left(e x + d\right)^{4} + 6 \, b^{3} c^{3} \cosh\left(e x + d\right)^{2} + b^{3} c^{3}\right)} \log\left(F\right)^{3} - 9 \, e^{3} - {\left(15 \, b^{2} c^{2} e \cosh\left(e x + d\right)^{4} + 6 \, b^{2} c^{2} e \cosh\left(e x + d\right)^{2} - b^{2} c^{2} e\right)} \log\left(F\right)^{2} - {\left(5 \, b c e^{2} \cosh\left(e x + d\right)^{4} + 54 \, b c e^{2} \cosh\left(e x + d\right)^{2} + 9 \, b c e^{2}\right)} \log\left(F\right)\right)} \sinh\left(e x + d\right)^{2} - {\left(b c e^{2} \cosh\left(e x + d\right)^{6} + 27 \, b c e^{2} \cosh\left(e x + d\right)^{4} + 27 \, b c e^{2} \cosh\left(e x + d\right)^{2} + b c e^{2}\right)} \log\left(F\right) + 6 \, {\left(3 \, e^{3} \cosh\left(e x + d\right)^{5} + 18 \, e^{3} \cosh\left(e x + d\right)^{3} - 9 \, e^{3} \cosh\left(e x + d\right) + {\left(b^{3} c^{3} \cosh\left(e x + d\right)^{5} + 2 \, b^{3} c^{3} \cosh\left(e x + d\right)^{3} + b^{3} c^{3} \cosh\left(e x + d\right)\right)} \log\left(F\right)^{3} - {\left(3 \, b^{2} c^{2} e \cosh\left(e x + d\right)^{5} + 2 \, b^{2} c^{2} e \cosh\left(e x + d\right)^{3} - b^{2} c^{2} e \cosh\left(e x + d\right)\right)} \log\left(F\right)^{2} - {\left(b c e^{2} \cosh\left(e x + d\right)^{5} + 18 \, b c e^{2} \cosh\left(e x + d\right)^{3} + 9 \, b c e^{2} \cosh\left(e x + d\right)\right)} \log\left(F\right)\right)} \sinh\left(e x + d\right)\right)} \cosh\left({\left(b c x + a c\right)} \log\left(F\right)\right) + {\left(3 \, e^{3} \cosh\left(e x + d\right)^{6} + 27 \, e^{3} \cosh\left(e x + d\right)^{4} + {\left(b^{3} c^{3} \log\left(F\right)^{3} - 3 \, b^{2} c^{2} e \log\left(F\right)^{2} - b c e^{2} \log\left(F\right) + 3 \, e^{3}\right)} \sinh\left(e x + d\right)^{6} + 6 \, {\left(b^{3} c^{3} \cosh\left(e x + d\right) \log\left(F\right)^{3} - 3 \, b^{2} c^{2} e \cosh\left(e x + d\right) \log\left(F\right)^{2} - b c e^{2} \cosh\left(e x + d\right) \log\left(F\right) + 3 \, e^{3} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)^{5} - 27 \, e^{3} \cosh\left(e x + d\right)^{2} + 3 \, {\left(15 \, e^{3} \cosh\left(e x + d\right)^{2} + {\left(5 \, b^{3} c^{3} \cosh\left(e x + d\right)^{2} + b^{3} c^{3}\right)} \log\left(F\right)^{3} + 9 \, e^{3} - {\left(15 \, b^{2} c^{2} e \cosh\left(e x + d\right)^{2} + b^{2} c^{2} e\right)} \log\left(F\right)^{2} - {\left(5 \, b c e^{2} \cosh\left(e x + d\right)^{2} + 9 \, b c e^{2}\right)} \log\left(F\right)\right)} \sinh\left(e x + d\right)^{4} + {\left(b^{3} c^{3} \cosh\left(e x + d\right)^{6} + 3 \, b^{3} c^{3} \cosh\left(e x + d\right)^{4} + 3 \, b^{3} c^{3} \cosh\left(e x + d\right)^{2} + b^{3} c^{3}\right)} \log\left(F\right)^{3} + 4 \, {\left(15 \, e^{3} \cosh\left(e x + d\right)^{3} + 27 \, e^{3} \cosh\left(e x + d\right) + {\left(5 \, b^{3} c^{3} \cosh\left(e x + d\right)^{3} + 3 \, b^{3} c^{3} \cosh\left(e x + d\right)\right)} \log\left(F\right)^{3} - 3 \, {\left(5 \, b^{2} c^{2} e \cosh\left(e x + d\right)^{3} + b^{2} c^{2} e \cosh\left(e x + d\right)\right)} \log\left(F\right)^{2} - {\left(5 \, b c e^{2} \cosh\left(e x + d\right)^{3} + 27 \, b c e^{2} \cosh\left(e x + d\right)\right)} \log\left(F\right)\right)} \sinh\left(e x + d\right)^{3} - 3 \, e^{3} - 3 \, {\left(b^{2} c^{2} e \cosh\left(e x + d\right)^{6} + b^{2} c^{2} e \cosh\left(e x + d\right)^{4} - b^{2} c^{2} e \cosh\left(e x + d\right)^{2} - b^{2} c^{2} e\right)} \log\left(F\right)^{2} + 3 \, {\left(15 \, e^{3} \cosh\left(e x + d\right)^{4} + 54 \, e^{3} \cosh\left(e x + d\right)^{2} + {\left(5 \, b^{3} c^{3} \cosh\left(e x + d\right)^{4} + 6 \, b^{3} c^{3} \cosh\left(e x + d\right)^{2} + b^{3} c^{3}\right)} \log\left(F\right)^{3} - 9 \, e^{3} - {\left(15 \, b^{2} c^{2} e \cosh\left(e x + d\right)^{4} + 6 \, b^{2} c^{2} e \cosh\left(e x + d\right)^{2} - b^{2} c^{2} e\right)} \log\left(F\right)^{2} - {\left(5 \, b c e^{2} \cosh\left(e x + d\right)^{4} + 54 \, b c e^{2} \cosh\left(e x + d\right)^{2} + 9 \, b c e^{2}\right)} \log\left(F\right)\right)} \sinh\left(e x + d\right)^{2} - {\left(b c e^{2} \cosh\left(e x + d\right)^{6} + 27 \, b c e^{2} \cosh\left(e x + d\right)^{4} + 27 \, b c e^{2} \cosh\left(e x + d\right)^{2} + b c e^{2}\right)} \log\left(F\right) + 6 \, {\left(3 \, e^{3} \cosh\left(e x + d\right)^{5} + 18 \, e^{3} \cosh\left(e x + d\right)^{3} - 9 \, e^{3} \cosh\left(e x + d\right) + {\left(b^{3} c^{3} \cosh\left(e x + d\right)^{5} + 2 \, b^{3} c^{3} \cosh\left(e x + d\right)^{3} + b^{3} c^{3} \cosh\left(e x + d\right)\right)} \log\left(F\right)^{3} - {\left(3 \, b^{2} c^{2} e \cosh\left(e x + d\right)^{5} + 2 \, b^{2} c^{2} e \cosh\left(e x + d\right)^{3} - b^{2} c^{2} e \cosh\left(e x + d\right)\right)} \log\left(F\right)^{2} - {\left(b c e^{2} \cosh\left(e x + d\right)^{5} + 18 \, b c e^{2} \cosh\left(e x + d\right)^{3} + 9 \, b c e^{2} \cosh\left(e x + d\right)\right)} \log\left(F\right)\right)} \sinh\left(e x + d\right)\right)} \sinh\left({\left(b c x + a c\right)} \log\left(F\right)\right)}{8 \, {\left(b^{4} c^{4} \cosh\left(e x + d\right)^{3} \log\left(F\right)^{4} - 10 \, b^{2} c^{2} e^{2} \cosh\left(e x + d\right)^{3} \log\left(F\right)^{2} + 9 \, e^{4} \cosh\left(e x + d\right)^{3} + {\left(b^{4} c^{4} \log\left(F\right)^{4} - 10 \, b^{2} c^{2} e^{2} \log\left(F\right)^{2} + 9 \, e^{4}\right)} \sinh\left(e x + d\right)^{3} + 3 \, {\left(b^{4} c^{4} \cosh\left(e x + d\right) \log\left(F\right)^{4} - 10 \, b^{2} c^{2} e^{2} \cosh\left(e x + d\right) \log\left(F\right)^{2} + 9 \, e^{4} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)^{2} + 3 \, {\left(b^{4} c^{4} \cosh\left(e x + d\right)^{2} \log\left(F\right)^{4} - 10 \, b^{2} c^{2} e^{2} \cosh\left(e x + d\right)^{2} \log\left(F\right)^{2} + 9 \, e^{4} \cosh\left(e x + d\right)^{2}\right)} \sinh\left(e x + d\right)\right)}}"," ",0,"1/8*((3*e^3*cosh(e*x + d)^6 + 27*e^3*cosh(e*x + d)^4 + (b^3*c^3*log(F)^3 - 3*b^2*c^2*e*log(F)^2 - b*c*e^2*log(F) + 3*e^3)*sinh(e*x + d)^6 + 6*(b^3*c^3*cosh(e*x + d)*log(F)^3 - 3*b^2*c^2*e*cosh(e*x + d)*log(F)^2 - b*c*e^2*cosh(e*x + d)*log(F) + 3*e^3*cosh(e*x + d))*sinh(e*x + d)^5 - 27*e^3*cosh(e*x + d)^2 + 3*(15*e^3*cosh(e*x + d)^2 + (5*b^3*c^3*cosh(e*x + d)^2 + b^3*c^3)*log(F)^3 + 9*e^3 - (15*b^2*c^2*e*cosh(e*x + d)^2 + b^2*c^2*e)*log(F)^2 - (5*b*c*e^2*cosh(e*x + d)^2 + 9*b*c*e^2)*log(F))*sinh(e*x + d)^4 + (b^3*c^3*cosh(e*x + d)^6 + 3*b^3*c^3*cosh(e*x + d)^4 + 3*b^3*c^3*cosh(e*x + d)^2 + b^3*c^3)*log(F)^3 + 4*(15*e^3*cosh(e*x + d)^3 + 27*e^3*cosh(e*x + d) + (5*b^3*c^3*cosh(e*x + d)^3 + 3*b^3*c^3*cosh(e*x + d))*log(F)^3 - 3*(5*b^2*c^2*e*cosh(e*x + d)^3 + b^2*c^2*e*cosh(e*x + d))*log(F)^2 - (5*b*c*e^2*cosh(e*x + d)^3 + 27*b*c*e^2*cosh(e*x + d))*log(F))*sinh(e*x + d)^3 - 3*e^3 - 3*(b^2*c^2*e*cosh(e*x + d)^6 + b^2*c^2*e*cosh(e*x + d)^4 - b^2*c^2*e*cosh(e*x + d)^2 - b^2*c^2*e)*log(F)^2 + 3*(15*e^3*cosh(e*x + d)^4 + 54*e^3*cosh(e*x + d)^2 + (5*b^3*c^3*cosh(e*x + d)^4 + 6*b^3*c^3*cosh(e*x + d)^2 + b^3*c^3)*log(F)^3 - 9*e^3 - (15*b^2*c^2*e*cosh(e*x + d)^4 + 6*b^2*c^2*e*cosh(e*x + d)^2 - b^2*c^2*e)*log(F)^2 - (5*b*c*e^2*cosh(e*x + d)^4 + 54*b*c*e^2*cosh(e*x + d)^2 + 9*b*c*e^2)*log(F))*sinh(e*x + d)^2 - (b*c*e^2*cosh(e*x + d)^6 + 27*b*c*e^2*cosh(e*x + d)^4 + 27*b*c*e^2*cosh(e*x + d)^2 + b*c*e^2)*log(F) + 6*(3*e^3*cosh(e*x + d)^5 + 18*e^3*cosh(e*x + d)^3 - 9*e^3*cosh(e*x + d) + (b^3*c^3*cosh(e*x + d)^5 + 2*b^3*c^3*cosh(e*x + d)^3 + b^3*c^3*cosh(e*x + d))*log(F)^3 - (3*b^2*c^2*e*cosh(e*x + d)^5 + 2*b^2*c^2*e*cosh(e*x + d)^3 - b^2*c^2*e*cosh(e*x + d))*log(F)^2 - (b*c*e^2*cosh(e*x + d)^5 + 18*b*c*e^2*cosh(e*x + d)^3 + 9*b*c*e^2*cosh(e*x + d))*log(F))*sinh(e*x + d))*cosh((b*c*x + a*c)*log(F)) + (3*e^3*cosh(e*x + d)^6 + 27*e^3*cosh(e*x + d)^4 + (b^3*c^3*log(F)^3 - 3*b^2*c^2*e*log(F)^2 - b*c*e^2*log(F) + 3*e^3)*sinh(e*x + d)^6 + 6*(b^3*c^3*cosh(e*x + d)*log(F)^3 - 3*b^2*c^2*e*cosh(e*x + d)*log(F)^2 - b*c*e^2*cosh(e*x + d)*log(F) + 3*e^3*cosh(e*x + d))*sinh(e*x + d)^5 - 27*e^3*cosh(e*x + d)^2 + 3*(15*e^3*cosh(e*x + d)^2 + (5*b^3*c^3*cosh(e*x + d)^2 + b^3*c^3)*log(F)^3 + 9*e^3 - (15*b^2*c^2*e*cosh(e*x + d)^2 + b^2*c^2*e)*log(F)^2 - (5*b*c*e^2*cosh(e*x + d)^2 + 9*b*c*e^2)*log(F))*sinh(e*x + d)^4 + (b^3*c^3*cosh(e*x + d)^6 + 3*b^3*c^3*cosh(e*x + d)^4 + 3*b^3*c^3*cosh(e*x + d)^2 + b^3*c^3)*log(F)^3 + 4*(15*e^3*cosh(e*x + d)^3 + 27*e^3*cosh(e*x + d) + (5*b^3*c^3*cosh(e*x + d)^3 + 3*b^3*c^3*cosh(e*x + d))*log(F)^3 - 3*(5*b^2*c^2*e*cosh(e*x + d)^3 + b^2*c^2*e*cosh(e*x + d))*log(F)^2 - (5*b*c*e^2*cosh(e*x + d)^3 + 27*b*c*e^2*cosh(e*x + d))*log(F))*sinh(e*x + d)^3 - 3*e^3 - 3*(b^2*c^2*e*cosh(e*x + d)^6 + b^2*c^2*e*cosh(e*x + d)^4 - b^2*c^2*e*cosh(e*x + d)^2 - b^2*c^2*e)*log(F)^2 + 3*(15*e^3*cosh(e*x + d)^4 + 54*e^3*cosh(e*x + d)^2 + (5*b^3*c^3*cosh(e*x + d)^4 + 6*b^3*c^3*cosh(e*x + d)^2 + b^3*c^3)*log(F)^3 - 9*e^3 - (15*b^2*c^2*e*cosh(e*x + d)^4 + 6*b^2*c^2*e*cosh(e*x + d)^2 - b^2*c^2*e)*log(F)^2 - (5*b*c*e^2*cosh(e*x + d)^4 + 54*b*c*e^2*cosh(e*x + d)^2 + 9*b*c*e^2)*log(F))*sinh(e*x + d)^2 - (b*c*e^2*cosh(e*x + d)^6 + 27*b*c*e^2*cosh(e*x + d)^4 + 27*b*c*e^2*cosh(e*x + d)^2 + b*c*e^2)*log(F) + 6*(3*e^3*cosh(e*x + d)^5 + 18*e^3*cosh(e*x + d)^3 - 9*e^3*cosh(e*x + d) + (b^3*c^3*cosh(e*x + d)^5 + 2*b^3*c^3*cosh(e*x + d)^3 + b^3*c^3*cosh(e*x + d))*log(F)^3 - (3*b^2*c^2*e*cosh(e*x + d)^5 + 2*b^2*c^2*e*cosh(e*x + d)^3 - b^2*c^2*e*cosh(e*x + d))*log(F)^2 - (b*c*e^2*cosh(e*x + d)^5 + 18*b*c*e^2*cosh(e*x + d)^3 + 9*b*c*e^2*cosh(e*x + d))*log(F))*sinh(e*x + d))*sinh((b*c*x + a*c)*log(F)))/(b^4*c^4*cosh(e*x + d)^3*log(F)^4 - 10*b^2*c^2*e^2*cosh(e*x + d)^3*log(F)^2 + 9*e^4*cosh(e*x + d)^3 + (b^4*c^4*log(F)^4 - 10*b^2*c^2*e^2*log(F)^2 + 9*e^4)*sinh(e*x + d)^3 + 3*(b^4*c^4*cosh(e*x + d)*log(F)^4 - 10*b^2*c^2*e^2*cosh(e*x + d)*log(F)^2 + 9*e^4*cosh(e*x + d))*sinh(e*x + d)^2 + 3*(b^4*c^4*cosh(e*x + d)^2*log(F)^4 - 10*b^2*c^2*e^2*cosh(e*x + d)^2*log(F)^2 + 9*e^4*cosh(e*x + d)^2)*sinh(e*x + d))","B",0
286,1,699,0,1.134585," ","integrate(F^(c*(b*x+a))*cosh(e*x+d)^2,x, algorithm=""fricas"")","\frac{{\left({\left(b^{2} c^{2} \log\left(F\right)^{2} - 2 \, b c e \log\left(F\right)\right)} \sinh\left(e x + d\right)^{4} - 8 \, e^{2} \cosh\left(e x + d\right)^{2} + 4 \, {\left(b^{2} c^{2} \cosh\left(e x + d\right) \log\left(F\right)^{2} - 2 \, b c e \cosh\left(e x + d\right) \log\left(F\right)\right)} \sinh\left(e x + d\right)^{3} + {\left(b^{2} c^{2} \cosh\left(e x + d\right)^{4} + 2 \, b^{2} c^{2} \cosh\left(e x + d\right)^{2} + b^{2} c^{2}\right)} \log\left(F\right)^{2} - 2 \, {\left(6 \, b c e \cosh\left(e x + d\right)^{2} \log\left(F\right) - {\left(3 \, b^{2} c^{2} \cosh\left(e x + d\right)^{2} + b^{2} c^{2}\right)} \log\left(F\right)^{2} + 4 \, e^{2}\right)} \sinh\left(e x + d\right)^{2} - 2 \, {\left(b c e \cosh\left(e x + d\right)^{4} - b c e\right)} \log\left(F\right) - 4 \, {\left(2 \, b c e \cosh\left(e x + d\right)^{3} \log\left(F\right) + 4 \, e^{2} \cosh\left(e x + d\right) - {\left(b^{2} c^{2} \cosh\left(e x + d\right)^{3} + b^{2} c^{2} \cosh\left(e x + d\right)\right)} \log\left(F\right)^{2}\right)} \sinh\left(e x + d\right)\right)} \cosh\left({\left(b c x + a c\right)} \log\left(F\right)\right) + {\left({\left(b^{2} c^{2} \log\left(F\right)^{2} - 2 \, b c e \log\left(F\right)\right)} \sinh\left(e x + d\right)^{4} - 8 \, e^{2} \cosh\left(e x + d\right)^{2} + 4 \, {\left(b^{2} c^{2} \cosh\left(e x + d\right) \log\left(F\right)^{2} - 2 \, b c e \cosh\left(e x + d\right) \log\left(F\right)\right)} \sinh\left(e x + d\right)^{3} + {\left(b^{2} c^{2} \cosh\left(e x + d\right)^{4} + 2 \, b^{2} c^{2} \cosh\left(e x + d\right)^{2} + b^{2} c^{2}\right)} \log\left(F\right)^{2} - 2 \, {\left(6 \, b c e \cosh\left(e x + d\right)^{2} \log\left(F\right) - {\left(3 \, b^{2} c^{2} \cosh\left(e x + d\right)^{2} + b^{2} c^{2}\right)} \log\left(F\right)^{2} + 4 \, e^{2}\right)} \sinh\left(e x + d\right)^{2} - 2 \, {\left(b c e \cosh\left(e x + d\right)^{4} - b c e\right)} \log\left(F\right) - 4 \, {\left(2 \, b c e \cosh\left(e x + d\right)^{3} \log\left(F\right) + 4 \, e^{2} \cosh\left(e x + d\right) - {\left(b^{2} c^{2} \cosh\left(e x + d\right)^{3} + b^{2} c^{2} \cosh\left(e x + d\right)\right)} \log\left(F\right)^{2}\right)} \sinh\left(e x + d\right)\right)} \sinh\left({\left(b c x + a c\right)} \log\left(F\right)\right)}{4 \, {\left(b^{3} c^{3} \cosh\left(e x + d\right)^{2} \log\left(F\right)^{3} - 4 \, b c e^{2} \cosh\left(e x + d\right)^{2} \log\left(F\right) + {\left(b^{3} c^{3} \log\left(F\right)^{3} - 4 \, b c e^{2} \log\left(F\right)\right)} \sinh\left(e x + d\right)^{2} + 2 \, {\left(b^{3} c^{3} \cosh\left(e x + d\right) \log\left(F\right)^{3} - 4 \, b c e^{2} \cosh\left(e x + d\right) \log\left(F\right)\right)} \sinh\left(e x + d\right)\right)}}"," ",0,"1/4*(((b^2*c^2*log(F)^2 - 2*b*c*e*log(F))*sinh(e*x + d)^4 - 8*e^2*cosh(e*x + d)^2 + 4*(b^2*c^2*cosh(e*x + d)*log(F)^2 - 2*b*c*e*cosh(e*x + d)*log(F))*sinh(e*x + d)^3 + (b^2*c^2*cosh(e*x + d)^4 + 2*b^2*c^2*cosh(e*x + d)^2 + b^2*c^2)*log(F)^2 - 2*(6*b*c*e*cosh(e*x + d)^2*log(F) - (3*b^2*c^2*cosh(e*x + d)^2 + b^2*c^2)*log(F)^2 + 4*e^2)*sinh(e*x + d)^2 - 2*(b*c*e*cosh(e*x + d)^4 - b*c*e)*log(F) - 4*(2*b*c*e*cosh(e*x + d)^3*log(F) + 4*e^2*cosh(e*x + d) - (b^2*c^2*cosh(e*x + d)^3 + b^2*c^2*cosh(e*x + d))*log(F)^2)*sinh(e*x + d))*cosh((b*c*x + a*c)*log(F)) + ((b^2*c^2*log(F)^2 - 2*b*c*e*log(F))*sinh(e*x + d)^4 - 8*e^2*cosh(e*x + d)^2 + 4*(b^2*c^2*cosh(e*x + d)*log(F)^2 - 2*b*c*e*cosh(e*x + d)*log(F))*sinh(e*x + d)^3 + (b^2*c^2*cosh(e*x + d)^4 + 2*b^2*c^2*cosh(e*x + d)^2 + b^2*c^2)*log(F)^2 - 2*(6*b*c*e*cosh(e*x + d)^2*log(F) - (3*b^2*c^2*cosh(e*x + d)^2 + b^2*c^2)*log(F)^2 + 4*e^2)*sinh(e*x + d)^2 - 2*(b*c*e*cosh(e*x + d)^4 - b*c*e)*log(F) - 4*(2*b*c*e*cosh(e*x + d)^3*log(F) + 4*e^2*cosh(e*x + d) - (b^2*c^2*cosh(e*x + d)^3 + b^2*c^2*cosh(e*x + d))*log(F)^2)*sinh(e*x + d))*sinh((b*c*x + a*c)*log(F)))/(b^3*c^3*cosh(e*x + d)^2*log(F)^3 - 4*b*c*e^2*cosh(e*x + d)^2*log(F) + (b^3*c^3*log(F)^3 - 4*b*c*e^2*log(F))*sinh(e*x + d)^2 + 2*(b^3*c^3*cosh(e*x + d)*log(F)^3 - 4*b*c*e^2*cosh(e*x + d)*log(F))*sinh(e*x + d))","B",0
287,1,246,0,0.549326," ","integrate(F^(c*(b*x+a))*cosh(e*x+d),x, algorithm=""fricas"")","-\frac{{\left(e \cosh\left(e x + d\right)^{2} - {\left(b c \log\left(F\right) - e\right)} \sinh\left(e x + d\right)^{2} - {\left(b c \cosh\left(e x + d\right)^{2} + b c\right)} \log\left(F\right) - 2 \, {\left(b c \cosh\left(e x + d\right) \log\left(F\right) - e \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right) - e\right)} \cosh\left({\left(b c x + a c\right)} \log\left(F\right)\right) + {\left(e \cosh\left(e x + d\right)^{2} - {\left(b c \log\left(F\right) - e\right)} \sinh\left(e x + d\right)^{2} - {\left(b c \cosh\left(e x + d\right)^{2} + b c\right)} \log\left(F\right) - 2 \, {\left(b c \cosh\left(e x + d\right) \log\left(F\right) - e \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right) - e\right)} \sinh\left({\left(b c x + a c\right)} \log\left(F\right)\right)}{2 \, {\left(b^{2} c^{2} \cosh\left(e x + d\right) \log\left(F\right)^{2} - e^{2} \cosh\left(e x + d\right) + {\left(b^{2} c^{2} \log\left(F\right)^{2} - e^{2}\right)} \sinh\left(e x + d\right)\right)}}"," ",0,"-1/2*((e*cosh(e*x + d)^2 - (b*c*log(F) - e)*sinh(e*x + d)^2 - (b*c*cosh(e*x + d)^2 + b*c)*log(F) - 2*(b*c*cosh(e*x + d)*log(F) - e*cosh(e*x + d))*sinh(e*x + d) - e)*cosh((b*c*x + a*c)*log(F)) + (e*cosh(e*x + d)^2 - (b*c*log(F) - e)*sinh(e*x + d)^2 - (b*c*cosh(e*x + d)^2 + b*c)*log(F) - 2*(b*c*cosh(e*x + d)*log(F) - e*cosh(e*x + d))*sinh(e*x + d) - e)*sinh((b*c*x + a*c)*log(F)))/(b^2*c^2*cosh(e*x + d)*log(F)^2 - e^2*cosh(e*x + d) + (b^2*c^2*log(F)^2 - e^2)*sinh(e*x + d))","B",0
288,0,0,0,0.469239," ","integrate(F^(c*(b*x+a))*sech(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(F^{b c x + a c} \operatorname{sech}\left(e x + d\right), x\right)"," ",0,"integral(F^(b*c*x + a*c)*sech(e*x + d), x)","F",0
289,0,0,0,0.499991," ","integrate(F^(c*(b*x+a))*sech(e*x+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(F^{b c x + a c} \operatorname{sech}\left(e x + d\right)^{2}, x\right)"," ",0,"integral(F^(b*c*x + a*c)*sech(e*x + d)^2, x)","F",0
290,0,0,0,0.598165," ","integrate(F^(c*(b*x+a))*sech(e*x+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(F^{b c x + a c} \operatorname{sech}\left(e x + d\right)^{3}, x\right)"," ",0,"integral(F^(b*c*x + a*c)*sech(e*x + d)^3, x)","F",0
291,0,0,0,0.607786," ","integrate(F^(c*(b*x+a))*sech(e*x+d)^4,x, algorithm=""fricas"")","{\rm integral}\left(F^{b c x + a c} \operatorname{sech}\left(e x + d\right)^{4}, x\right)"," ",0,"integral(F^(b*c*x + a*c)*sech(e*x + d)^4, x)","F",0
292,1,218,0,0.649103," ","integrate(exp(c*(b*x+a))*(cosh(b*c*x+a*c)^2)^(5/2),x, algorithm=""fricas"")","-\frac{\cosh\left(b c x + a c\right)^{5} + 5 \, \cosh\left(b c x + a c\right) \sinh\left(b c x + a c\right)^{4} - 5 \, \sinh\left(b c x + a c\right)^{5} - 5 \, {\left(10 \, \cosh\left(b c x + a c\right)^{2} + 9\right)} \sinh\left(b c x + a c\right)^{3} + 15 \, \cosh\left(b c x + a c\right)^{3} + 5 \, {\left(2 \, \cosh\left(b c x + a c\right)^{3} + 9 \, \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)^{2} - 60 \, {\left(2 \, b c x + 1\right)} \cosh\left(b c x + a c\right) - 5 \, {\left(5 \, \cosh\left(b c x + a c\right)^{4} - 24 \, b c x + 27 \, \cosh\left(b c x + a c\right)^{2} + 12\right)} \sinh\left(b c x + a c\right)}{384 \, {\left(b c \cosh\left(b c x + a c\right) - b c \sinh\left(b c x + a c\right)\right)}}"," ",0,"-1/384*(cosh(b*c*x + a*c)^5 + 5*cosh(b*c*x + a*c)*sinh(b*c*x + a*c)^4 - 5*sinh(b*c*x + a*c)^5 - 5*(10*cosh(b*c*x + a*c)^2 + 9)*sinh(b*c*x + a*c)^3 + 15*cosh(b*c*x + a*c)^3 + 5*(2*cosh(b*c*x + a*c)^3 + 9*cosh(b*c*x + a*c))*sinh(b*c*x + a*c)^2 - 60*(2*b*c*x + 1)*cosh(b*c*x + a*c) - 5*(5*cosh(b*c*x + a*c)^4 - 24*b*c*x + 27*cosh(b*c*x + a*c)^2 + 12)*sinh(b*c*x + a*c))/(b*c*cosh(b*c*x + a*c) - b*c*sinh(b*c*x + a*c))","A",0
293,1,126,0,0.524197," ","integrate(exp(c*(b*x+a))*(cosh(b*c*x+a*c)^2)^(3/2),x, algorithm=""fricas"")","-\frac{\cosh\left(b c x + a c\right)^{3} + 3 \, \cosh\left(b c x + a c\right) \sinh\left(b c x + a c\right)^{2} - 3 \, \sinh\left(b c x + a c\right)^{3} - 6 \, {\left(2 \, b c x + 1\right)} \cosh\left(b c x + a c\right) + 3 \, {\left(4 \, b c x - 3 \, \cosh\left(b c x + a c\right)^{2} - 2\right)} \sinh\left(b c x + a c\right)}{32 \, {\left(b c \cosh\left(b c x + a c\right) - b c \sinh\left(b c x + a c\right)\right)}}"," ",0,"-1/32*(cosh(b*c*x + a*c)^3 + 3*cosh(b*c*x + a*c)*sinh(b*c*x + a*c)^2 - 3*sinh(b*c*x + a*c)^3 - 6*(2*b*c*x + 1)*cosh(b*c*x + a*c) + 3*(4*b*c*x - 3*cosh(b*c*x + a*c)^2 - 2)*sinh(b*c*x + a*c))/(b*c*cosh(b*c*x + a*c) - b*c*sinh(b*c*x + a*c))","A",0
294,1,66,0,0.518374," ","integrate(exp(c*(b*x+a))*(cosh(b*c*x+a*c)^2)^(1/2),x, algorithm=""fricas"")","\frac{{\left(2 \, b c x + 1\right)} \cosh\left(b c x + a c\right) - {\left(2 \, b c x - 1\right)} \sinh\left(b c x + a c\right)}{4 \, {\left(b c \cosh\left(b c x + a c\right) - b c \sinh\left(b c x + a c\right)\right)}}"," ",0,"1/4*((2*b*c*x + 1)*cosh(b*c*x + a*c) - (2*b*c*x - 1)*sinh(b*c*x + a*c))/(b*c*cosh(b*c*x + a*c) - b*c*sinh(b*c*x + a*c))","A",0
295,1,42,0,0.560335," ","integrate(exp(c*(b*x+a))/(cosh(b*c*x+a*c)^2)^(1/2),x, algorithm=""fricas"")","\frac{\log\left(\frac{2 \, \cosh\left(b c x + a c\right)}{\cosh\left(b c x + a c\right) - \sinh\left(b c x + a c\right)}\right)}{b c}"," ",0,"log(2*cosh(b*c*x + a*c)/(cosh(b*c*x + a*c) - sinh(b*c*x + a*c)))/(b*c)","A",0
296,1,120,0,0.485245," ","integrate(exp(c*(b*x+a))/(cosh(b*c*x+a*c)^2)^(3/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(3 \, \cosh\left(b c x + a c\right) + \sinh\left(b c x + a c\right)\right)}}{b c \cosh\left(b c x + a c\right)^{3} + 3 \, b c \cosh\left(b c x + a c\right) \sinh\left(b c x + a c\right)^{2} + b c \sinh\left(b c x + a c\right)^{3} + 3 \, b c \cosh\left(b c x + a c\right) + {\left(3 \, b c \cosh\left(b c x + a c\right)^{2} + b c\right)} \sinh\left(b c x + a c\right)}"," ",0,"-2*(3*cosh(b*c*x + a*c) + sinh(b*c*x + a*c))/(b*c*cosh(b*c*x + a*c)^3 + 3*b*c*cosh(b*c*x + a*c)*sinh(b*c*x + a*c)^2 + b*c*sinh(b*c*x + a*c)^3 + 3*b*c*cosh(b*c*x + a*c) + (3*b*c*cosh(b*c*x + a*c)^2 + b*c)*sinh(b*c*x + a*c))","B",0
297,1,315,0,0.595956," ","integrate(exp(c*(b*x+a))/(cosh(b*c*x+a*c)^2)^(5/2),x, algorithm=""fricas"")","-\frac{4 \, {\left(7 \, \cosh\left(b c x + a c\right)^{2} + 10 \, \cosh\left(b c x + a c\right) \sinh\left(b c x + a c\right) + 7 \, \sinh\left(b c x + a c\right)^{2} + 4\right)}}{3 \, {\left(b c \cosh\left(b c x + a c\right)^{6} + 6 \, b c \cosh\left(b c x + a c\right) \sinh\left(b c x + a c\right)^{5} + b c \sinh\left(b c x + a c\right)^{6} + 4 \, b c \cosh\left(b c x + a c\right)^{4} + {\left(15 \, b c \cosh\left(b c x + a c\right)^{2} + 4 \, b c\right)} \sinh\left(b c x + a c\right)^{4} + 7 \, b c \cosh\left(b c x + a c\right)^{2} + 4 \, {\left(5 \, b c \cosh\left(b c x + a c\right)^{3} + 4 \, b c \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)^{3} + {\left(15 \, b c \cosh\left(b c x + a c\right)^{4} + 24 \, b c \cosh\left(b c x + a c\right)^{2} + 7 \, b c\right)} \sinh\left(b c x + a c\right)^{2} + 4 \, b c + 2 \, {\left(3 \, b c \cosh\left(b c x + a c\right)^{5} + 8 \, b c \cosh\left(b c x + a c\right)^{3} + 5 \, b c \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)\right)}}"," ",0,"-4/3*(7*cosh(b*c*x + a*c)^2 + 10*cosh(b*c*x + a*c)*sinh(b*c*x + a*c) + 7*sinh(b*c*x + a*c)^2 + 4)/(b*c*cosh(b*c*x + a*c)^6 + 6*b*c*cosh(b*c*x + a*c)*sinh(b*c*x + a*c)^5 + b*c*sinh(b*c*x + a*c)^6 + 4*b*c*cosh(b*c*x + a*c)^4 + (15*b*c*cosh(b*c*x + a*c)^2 + 4*b*c)*sinh(b*c*x + a*c)^4 + 7*b*c*cosh(b*c*x + a*c)^2 + 4*(5*b*c*cosh(b*c*x + a*c)^3 + 4*b*c*cosh(b*c*x + a*c))*sinh(b*c*x + a*c)^3 + (15*b*c*cosh(b*c*x + a*c)^4 + 24*b*c*cosh(b*c*x + a*c)^2 + 7*b*c)*sinh(b*c*x + a*c)^2 + 4*b*c + 2*(3*b*c*cosh(b*c*x + a*c)^5 + 8*b*c*cosh(b*c*x + a*c)^3 + 5*b*c*cosh(b*c*x + a*c))*sinh(b*c*x + a*c))","B",0
298,1,589,0,0.592073," ","integrate(exp(c*(b*x+a))/(cosh(b*c*x+a*c)^2)^(7/2),x, algorithm=""fricas"")","-\frac{16 \, {\left(21 \, \cosh\left(b c x + a c\right)^{3} + 63 \, \cosh\left(b c x + a c\right) \sinh\left(b c x + a c\right)^{2} + 19 \, \sinh\left(b c x + a c\right)^{3} + 3 \, {\left(19 \, \cosh\left(b c x + a c\right)^{2} + 3\right)} \sinh\left(b c x + a c\right) + 21 \, \cosh\left(b c x + a c\right)\right)}}{15 \, {\left(b c \cosh\left(b c x + a c\right)^{9} + 9 \, b c \cosh\left(b c x + a c\right) \sinh\left(b c x + a c\right)^{8} + b c \sinh\left(b c x + a c\right)^{9} + 6 \, b c \cosh\left(b c x + a c\right)^{7} + 6 \, {\left(6 \, b c \cosh\left(b c x + a c\right)^{2} + b c\right)} \sinh\left(b c x + a c\right)^{7} + 15 \, b c \cosh\left(b c x + a c\right)^{5} + 42 \, {\left(2 \, b c \cosh\left(b c x + a c\right)^{3} + b c \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)^{6} + 3 \, {\left(42 \, b c \cosh\left(b c x + a c\right)^{4} + 42 \, b c \cosh\left(b c x + a c\right)^{2} + 5 \, b c\right)} \sinh\left(b c x + a c\right)^{5} + 21 \, b c \cosh\left(b c x + a c\right)^{3} + 3 \, {\left(42 \, b c \cosh\left(b c x + a c\right)^{5} + 70 \, b c \cosh\left(b c x + a c\right)^{3} + 25 \, b c \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)^{4} + {\left(84 \, b c \cosh\left(b c x + a c\right)^{6} + 210 \, b c \cosh\left(b c x + a c\right)^{4} + 150 \, b c \cosh\left(b c x + a c\right)^{2} + 19 \, b c\right)} \sinh\left(b c x + a c\right)^{3} + 21 \, b c \cosh\left(b c x + a c\right) + 3 \, {\left(12 \, b c \cosh\left(b c x + a c\right)^{7} + 42 \, b c \cosh\left(b c x + a c\right)^{5} + 50 \, b c \cosh\left(b c x + a c\right)^{3} + 21 \, b c \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)^{2} + 3 \, {\left(3 \, b c \cosh\left(b c x + a c\right)^{8} + 14 \, b c \cosh\left(b c x + a c\right)^{6} + 25 \, b c \cosh\left(b c x + a c\right)^{4} + 19 \, b c \cosh\left(b c x + a c\right)^{2} + 3 \, b c\right)} \sinh\left(b c x + a c\right)\right)}}"," ",0,"-16/15*(21*cosh(b*c*x + a*c)^3 + 63*cosh(b*c*x + a*c)*sinh(b*c*x + a*c)^2 + 19*sinh(b*c*x + a*c)^3 + 3*(19*cosh(b*c*x + a*c)^2 + 3)*sinh(b*c*x + a*c) + 21*cosh(b*c*x + a*c))/(b*c*cosh(b*c*x + a*c)^9 + 9*b*c*cosh(b*c*x + a*c)*sinh(b*c*x + a*c)^8 + b*c*sinh(b*c*x + a*c)^9 + 6*b*c*cosh(b*c*x + a*c)^7 + 6*(6*b*c*cosh(b*c*x + a*c)^2 + b*c)*sinh(b*c*x + a*c)^7 + 15*b*c*cosh(b*c*x + a*c)^5 + 42*(2*b*c*cosh(b*c*x + a*c)^3 + b*c*cosh(b*c*x + a*c))*sinh(b*c*x + a*c)^6 + 3*(42*b*c*cosh(b*c*x + a*c)^4 + 42*b*c*cosh(b*c*x + a*c)^2 + 5*b*c)*sinh(b*c*x + a*c)^5 + 21*b*c*cosh(b*c*x + a*c)^3 + 3*(42*b*c*cosh(b*c*x + a*c)^5 + 70*b*c*cosh(b*c*x + a*c)^3 + 25*b*c*cosh(b*c*x + a*c))*sinh(b*c*x + a*c)^4 + (84*b*c*cosh(b*c*x + a*c)^6 + 210*b*c*cosh(b*c*x + a*c)^4 + 150*b*c*cosh(b*c*x + a*c)^2 + 19*b*c)*sinh(b*c*x + a*c)^3 + 21*b*c*cosh(b*c*x + a*c) + 3*(12*b*c*cosh(b*c*x + a*c)^7 + 42*b*c*cosh(b*c*x + a*c)^5 + 50*b*c*cosh(b*c*x + a*c)^3 + 21*b*c*cosh(b*c*x + a*c))*sinh(b*c*x + a*c)^2 + 3*(3*b*c*cosh(b*c*x + a*c)^8 + 14*b*c*cosh(b*c*x + a*c)^6 + 25*b*c*cosh(b*c*x + a*c)^4 + 19*b*c*cosh(b*c*x + a*c)^2 + 3*b*c)*sinh(b*c*x + a*c))","B",0
299,1,45,0,0.605474," ","integrate(exp(x)*cosh(b*x+a),x, algorithm=""fricas"")","-\frac{\cosh\left(b x + a\right) \cosh\left(x\right) - {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sinh\left(b x + a\right) + \cosh\left(b x + a\right) \sinh\left(x\right)}{b^{2} - 1}"," ",0,"-(cosh(b*x + a)*cosh(x) - (b*cosh(x) + b*sinh(x))*sinh(b*x + a) + cosh(b*x + a)*sinh(x))/(b^2 - 1)","A",0
300,1,104,0,0.584609," ","integrate(exp(x)*cosh(c*x^2+a),x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-c} {\left(\cosh\left(\frac{4 \, a c - 1}{4 \, c}\right) + \sinh\left(\frac{4 \, a c - 1}{4 \, c}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x + 1\right)} \sqrt{-c}}{2 \, c}\right) - \sqrt{\pi} \sqrt{c} {\left(\cosh\left(\frac{4 \, a c - 1}{4 \, c}\right) - \sinh\left(\frac{4 \, a c - 1}{4 \, c}\right)\right)} \operatorname{erf}\left(\frac{2 \, c x - 1}{2 \, \sqrt{c}}\right)}{4 \, c}"," ",0,"-1/4*(sqrt(pi)*sqrt(-c)*(cosh(1/4*(4*a*c - 1)/c) + sinh(1/4*(4*a*c - 1)/c))*erf(1/2*(2*c*x + 1)*sqrt(-c)/c) - sqrt(pi)*sqrt(c)*(cosh(1/4*(4*a*c - 1)/c) - sinh(1/4*(4*a*c - 1)/c))*erf(1/2*(2*c*x - 1)/sqrt(c)))/c","A",0
301,1,130,0,0.529453," ","integrate(exp(x)*cosh(c*x^2+b*x+a),x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-c} {\left(\cosh\left(-\frac{b^{2} - 4 \, a c + 2 \, b + 1}{4 \, c}\right) + \sinh\left(-\frac{b^{2} - 4 \, a c + 2 \, b + 1}{4 \, c}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x + b + 1\right)} \sqrt{-c}}{2 \, c}\right) - \sqrt{\pi} \sqrt{c} {\left(\cosh\left(-\frac{b^{2} - 4 \, a c - 2 \, b + 1}{4 \, c}\right) - \sinh\left(-\frac{b^{2} - 4 \, a c - 2 \, b + 1}{4 \, c}\right)\right)} \operatorname{erf}\left(\frac{2 \, c x + b - 1}{2 \, \sqrt{c}}\right)}{4 \, c}"," ",0,"-1/4*(sqrt(pi)*sqrt(-c)*(cosh(-1/4*(b^2 - 4*a*c + 2*b + 1)/c) + sinh(-1/4*(b^2 - 4*a*c + 2*b + 1)/c))*erf(1/2*(2*c*x + b + 1)*sqrt(-c)/c) - sqrt(pi)*sqrt(c)*(cosh(-1/4*(b^2 - 4*a*c - 2*b + 1)/c) - sinh(-1/4*(b^2 - 4*a*c - 2*b + 1)/c))*erf(1/2*(2*c*x + b - 1)/sqrt(c)))/c","A",0
302,1,44,0,0.534500," ","integrate(exp(x^2)*cosh(b*x+a),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{\pi} {\left(\operatorname{erfi}\left(\frac{1}{2} \, b + x\right) e^{\left(\frac{1}{4} \, b^{2} + a\right)} + \operatorname{erfi}\left(-\frac{1}{2} \, b + x\right) e^{\left(\frac{1}{4} \, b^{2} - a\right)}\right)} e^{\left(-\frac{1}{2} \, b^{2}\right)}"," ",0,"1/4*sqrt(pi)*(erfi(1/2*b + x)*e^(1/4*b^2 + a) + erfi(-1/2*b + x)*e^(1/4*b^2 - a))*e^(-1/2*b^2)","A",0
303,1,76,0,0.631317," ","integrate(exp(x^2)*cosh(c*x^2+a),x, algorithm=""fricas"")","\frac{\sqrt{\pi} {\left({\left(c + 1\right)} \cosh\left(a\right) - {\left(c + 1\right)} \sinh\left(a\right)\right)} \sqrt{c - 1} \operatorname{erf}\left(\sqrt{c - 1} x\right) - \sqrt{\pi} {\left({\left(c - 1\right)} \cosh\left(a\right) + {\left(c - 1\right)} \sinh\left(a\right)\right)} \sqrt{-c - 1} \operatorname{erf}\left(\sqrt{-c - 1} x\right)}{4 \, {\left(c^{2} - 1\right)}}"," ",0,"1/4*(sqrt(pi)*((c + 1)*cosh(a) - (c + 1)*sinh(a))*sqrt(c - 1)*erf(sqrt(c - 1)*x) - sqrt(pi)*((c - 1)*cosh(a) + (c - 1)*sinh(a))*sqrt(-c - 1)*erf(sqrt(-c - 1)*x))/(c^2 - 1)","A",0
304,1,165,0,0.553888," ","integrate(exp(x^2)*cosh(c*x^2+b*x+a),x, algorithm=""fricas"")","\frac{\sqrt{\pi} {\left({\left(c + 1\right)} \cosh\left(-\frac{b^{2} - 4 \, a c + 4 \, a}{4 \, {\left(c - 1\right)}}\right) - {\left(c + 1\right)} \sinh\left(-\frac{b^{2} - 4 \, a c + 4 \, a}{4 \, {\left(c - 1\right)}}\right)\right)} \sqrt{c - 1} \operatorname{erf}\left(\frac{2 \, {\left(c - 1\right)} x + b}{2 \, \sqrt{c - 1}}\right) - \sqrt{\pi} {\left({\left(c - 1\right)} \cosh\left(-\frac{b^{2} - 4 \, a c - 4 \, a}{4 \, {\left(c + 1\right)}}\right) + {\left(c - 1\right)} \sinh\left(-\frac{b^{2} - 4 \, a c - 4 \, a}{4 \, {\left(c + 1\right)}}\right)\right)} \sqrt{-c - 1} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c + 1\right)} x + b\right)} \sqrt{-c - 1}}{2 \, {\left(c + 1\right)}}\right)}{4 \, {\left(c^{2} - 1\right)}}"," ",0,"1/4*(sqrt(pi)*((c + 1)*cosh(-1/4*(b^2 - 4*a*c + 4*a)/(c - 1)) - (c + 1)*sinh(-1/4*(b^2 - 4*a*c + 4*a)/(c - 1)))*sqrt(c - 1)*erf(1/2*(2*(c - 1)*x + b)/sqrt(c - 1)) - sqrt(pi)*((c - 1)*cosh(-1/4*(b^2 - 4*a*c - 4*a)/(c + 1)) + (c - 1)*sinh(-1/4*(b^2 - 4*a*c - 4*a)/(c + 1)))*sqrt(-c - 1)*erf(1/2*(2*(c + 1)*x + b)*sqrt(-c - 1)/(c + 1)))/(c^2 - 1)","A",0
305,1,211,0,0.468574," ","integrate(f^(b*x+a)*cosh(f*x^2+d),x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-f} \cosh\left(\frac{b^{2} \log\left(f\right)^{2} - 4 \, a f \log\left(f\right) - 4 \, d f}{4 \, f}\right) \operatorname{erf}\left(\frac{{\left(2 \, f x + b \log\left(f\right)\right)} \sqrt{-f}}{2 \, f}\right) + \sqrt{\pi} \sqrt{f} \cosh\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, a f \log\left(f\right) - 4 \, d f}{4 \, f}\right) \operatorname{erf}\left(-\frac{2 \, f x - b \log\left(f\right)}{2 \, \sqrt{f}}\right) + \sqrt{\pi} \sqrt{f} \operatorname{erf}\left(-\frac{2 \, f x - b \log\left(f\right)}{2 \, \sqrt{f}}\right) \sinh\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, a f \log\left(f\right) - 4 \, d f}{4 \, f}\right) - \sqrt{\pi} \sqrt{-f} \operatorname{erf}\left(\frac{{\left(2 \, f x + b \log\left(f\right)\right)} \sqrt{-f}}{2 \, f}\right) \sinh\left(\frac{b^{2} \log\left(f\right)^{2} - 4 \, a f \log\left(f\right) - 4 \, d f}{4 \, f}\right)}{4 \, f}"," ",0,"-1/4*(sqrt(pi)*sqrt(-f)*cosh(1/4*(b^2*log(f)^2 - 4*a*f*log(f) - 4*d*f)/f)*erf(1/2*(2*f*x + b*log(f))*sqrt(-f)/f) + sqrt(pi)*sqrt(f)*cosh(1/4*(b^2*log(f)^2 + 4*a*f*log(f) - 4*d*f)/f)*erf(-1/2*(2*f*x - b*log(f))/sqrt(f)) + sqrt(pi)*sqrt(f)*erf(-1/2*(2*f*x - b*log(f))/sqrt(f))*sinh(1/4*(b^2*log(f)^2 + 4*a*f*log(f) - 4*d*f)/f) - sqrt(pi)*sqrt(-f)*erf(1/2*(2*f*x + b*log(f))*sqrt(-f)/f)*sinh(1/4*(b^2*log(f)^2 - 4*a*f*log(f) - 4*d*f)/f))/f","B",0
306,1,278,0,0.621187," ","integrate(f^(b*x+a)*cosh(f*x^2+d)^2,x, algorithm=""fricas"")","-\frac{\sqrt{2} \sqrt{\pi} b \sqrt{-f} \cosh\left(\frac{b^{2} \log\left(f\right)^{2} - 8 \, a f \log\left(f\right) - 16 \, d f}{8 \, f}\right) \operatorname{erf}\left(\frac{\sqrt{2} {\left(4 \, f x + b \log\left(f\right)\right)} \sqrt{-f}}{4 \, f}\right) \log\left(f\right) + \sqrt{2} \sqrt{\pi} b \sqrt{f} \cosh\left(\frac{b^{2} \log\left(f\right)^{2} + 8 \, a f \log\left(f\right) - 16 \, d f}{8 \, f}\right) \operatorname{erf}\left(-\frac{\sqrt{2} {\left(4 \, f x - b \log\left(f\right)\right)}}{4 \, \sqrt{f}}\right) \log\left(f\right) + \sqrt{2} \sqrt{\pi} b \sqrt{f} \operatorname{erf}\left(-\frac{\sqrt{2} {\left(4 \, f x - b \log\left(f\right)\right)}}{4 \, \sqrt{f}}\right) \log\left(f\right) \sinh\left(\frac{b^{2} \log\left(f\right)^{2} + 8 \, a f \log\left(f\right) - 16 \, d f}{8 \, f}\right) - \sqrt{2} \sqrt{\pi} b \sqrt{-f} \operatorname{erf}\left(\frac{\sqrt{2} {\left(4 \, f x + b \log\left(f\right)\right)} \sqrt{-f}}{4 \, f}\right) \log\left(f\right) \sinh\left(\frac{b^{2} \log\left(f\right)^{2} - 8 \, a f \log\left(f\right) - 16 \, d f}{8 \, f}\right) - 8 \, f \cosh\left({\left(b x + a\right)} \log\left(f\right)\right) - 8 \, f \sinh\left({\left(b x + a\right)} \log\left(f\right)\right)}{16 \, b f \log\left(f\right)}"," ",0,"-1/16*(sqrt(2)*sqrt(pi)*b*sqrt(-f)*cosh(1/8*(b^2*log(f)^2 - 8*a*f*log(f) - 16*d*f)/f)*erf(1/4*sqrt(2)*(4*f*x + b*log(f))*sqrt(-f)/f)*log(f) + sqrt(2)*sqrt(pi)*b*sqrt(f)*cosh(1/8*(b^2*log(f)^2 + 8*a*f*log(f) - 16*d*f)/f)*erf(-1/4*sqrt(2)*(4*f*x - b*log(f))/sqrt(f))*log(f) + sqrt(2)*sqrt(pi)*b*sqrt(f)*erf(-1/4*sqrt(2)*(4*f*x - b*log(f))/sqrt(f))*log(f)*sinh(1/8*(b^2*log(f)^2 + 8*a*f*log(f) - 16*d*f)/f) - sqrt(2)*sqrt(pi)*b*sqrt(-f)*erf(1/4*sqrt(2)*(4*f*x + b*log(f))*sqrt(-f)/f)*log(f)*sinh(1/8*(b^2*log(f)^2 - 8*a*f*log(f) - 16*d*f)/f) - 8*f*cosh((b*x + a)*log(f)) - 8*f*sinh((b*x + a)*log(f)))/(b*f*log(f))","B",0
307,1,443,0,0.453461," ","integrate(f^(b*x+a)*cosh(f*x^2+d)^3,x, algorithm=""fricas"")","-\frac{\sqrt{3} \sqrt{\pi} \sqrt{-f} \cosh\left(\frac{b^{2} \log\left(f\right)^{2} - 12 \, a f \log\left(f\right) - 36 \, d f}{12 \, f}\right) \operatorname{erf}\left(\frac{\sqrt{3} {\left(6 \, f x + b \log\left(f\right)\right)} \sqrt{-f}}{6 \, f}\right) + \sqrt{3} \sqrt{\pi} \sqrt{f} \cosh\left(\frac{b^{2} \log\left(f\right)^{2} + 12 \, a f \log\left(f\right) - 36 \, d f}{12 \, f}\right) \operatorname{erf}\left(-\frac{\sqrt{3} {\left(6 \, f x - b \log\left(f\right)\right)}}{6 \, \sqrt{f}}\right) + \sqrt{3} \sqrt{\pi} \sqrt{f} \operatorname{erf}\left(-\frac{\sqrt{3} {\left(6 \, f x - b \log\left(f\right)\right)}}{6 \, \sqrt{f}}\right) \sinh\left(\frac{b^{2} \log\left(f\right)^{2} + 12 \, a f \log\left(f\right) - 36 \, d f}{12 \, f}\right) - \sqrt{3} \sqrt{\pi} \sqrt{-f} \operatorname{erf}\left(\frac{\sqrt{3} {\left(6 \, f x + b \log\left(f\right)\right)} \sqrt{-f}}{6 \, f}\right) \sinh\left(\frac{b^{2} \log\left(f\right)^{2} - 12 \, a f \log\left(f\right) - 36 \, d f}{12 \, f}\right) + 9 \, \sqrt{\pi} \sqrt{-f} \cosh\left(\frac{b^{2} \log\left(f\right)^{2} - 4 \, a f \log\left(f\right) - 4 \, d f}{4 \, f}\right) \operatorname{erf}\left(\frac{{\left(2 \, f x + b \log\left(f\right)\right)} \sqrt{-f}}{2 \, f}\right) + 9 \, \sqrt{\pi} \sqrt{f} \cosh\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, a f \log\left(f\right) - 4 \, d f}{4 \, f}\right) \operatorname{erf}\left(-\frac{2 \, f x - b \log\left(f\right)}{2 \, \sqrt{f}}\right) + 9 \, \sqrt{\pi} \sqrt{f} \operatorname{erf}\left(-\frac{2 \, f x - b \log\left(f\right)}{2 \, \sqrt{f}}\right) \sinh\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, a f \log\left(f\right) - 4 \, d f}{4 \, f}\right) - 9 \, \sqrt{\pi} \sqrt{-f} \operatorname{erf}\left(\frac{{\left(2 \, f x + b \log\left(f\right)\right)} \sqrt{-f}}{2 \, f}\right) \sinh\left(\frac{b^{2} \log\left(f\right)^{2} - 4 \, a f \log\left(f\right) - 4 \, d f}{4 \, f}\right)}{48 \, f}"," ",0,"-1/48*(sqrt(3)*sqrt(pi)*sqrt(-f)*cosh(1/12*(b^2*log(f)^2 - 12*a*f*log(f) - 36*d*f)/f)*erf(1/6*sqrt(3)*(6*f*x + b*log(f))*sqrt(-f)/f) + sqrt(3)*sqrt(pi)*sqrt(f)*cosh(1/12*(b^2*log(f)^2 + 12*a*f*log(f) - 36*d*f)/f)*erf(-1/6*sqrt(3)*(6*f*x - b*log(f))/sqrt(f)) + sqrt(3)*sqrt(pi)*sqrt(f)*erf(-1/6*sqrt(3)*(6*f*x - b*log(f))/sqrt(f))*sinh(1/12*(b^2*log(f)^2 + 12*a*f*log(f) - 36*d*f)/f) - sqrt(3)*sqrt(pi)*sqrt(-f)*erf(1/6*sqrt(3)*(6*f*x + b*log(f))*sqrt(-f)/f)*sinh(1/12*(b^2*log(f)^2 - 12*a*f*log(f) - 36*d*f)/f) + 9*sqrt(pi)*sqrt(-f)*cosh(1/4*(b^2*log(f)^2 - 4*a*f*log(f) - 4*d*f)/f)*erf(1/2*(2*f*x + b*log(f))*sqrt(-f)/f) + 9*sqrt(pi)*sqrt(f)*cosh(1/4*(b^2*log(f)^2 + 4*a*f*log(f) - 4*d*f)/f)*erf(-1/2*(2*f*x - b*log(f))/sqrt(f)) + 9*sqrt(pi)*sqrt(f)*erf(-1/2*(2*f*x - b*log(f))/sqrt(f))*sinh(1/4*(b^2*log(f)^2 + 4*a*f*log(f) - 4*d*f)/f) - 9*sqrt(pi)*sqrt(-f)*erf(1/2*(2*f*x + b*log(f))*sqrt(-f)/f)*sinh(1/4*(b^2*log(f)^2 - 4*a*f*log(f) - 4*d*f)/f))/f","B",0
308,1,251,0,0.640178," ","integrate(f^(b*x+a)*cosh(f*x^2+e*x+d),x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-f} \cosh\left(\frac{b^{2} \log\left(f\right)^{2} + e^{2} - 4 \, d f + 2 \, {\left(b e - 2 \, a f\right)} \log\left(f\right)}{4 \, f}\right) \operatorname{erf}\left(\frac{{\left(2 \, f x + b \log\left(f\right) + e\right)} \sqrt{-f}}{2 \, f}\right) + \sqrt{\pi} \sqrt{f} \cosh\left(\frac{b^{2} \log\left(f\right)^{2} + e^{2} - 4 \, d f - 2 \, {\left(b e - 2 \, a f\right)} \log\left(f\right)}{4 \, f}\right) \operatorname{erf}\left(-\frac{2 \, f x - b \log\left(f\right) + e}{2 \, \sqrt{f}}\right) - \sqrt{\pi} \sqrt{-f} \operatorname{erf}\left(\frac{{\left(2 \, f x + b \log\left(f\right) + e\right)} \sqrt{-f}}{2 \, f}\right) \sinh\left(\frac{b^{2} \log\left(f\right)^{2} + e^{2} - 4 \, d f + 2 \, {\left(b e - 2 \, a f\right)} \log\left(f\right)}{4 \, f}\right) + \sqrt{\pi} \sqrt{f} \operatorname{erf}\left(-\frac{2 \, f x - b \log\left(f\right) + e}{2 \, \sqrt{f}}\right) \sinh\left(\frac{b^{2} \log\left(f\right)^{2} + e^{2} - 4 \, d f - 2 \, {\left(b e - 2 \, a f\right)} \log\left(f\right)}{4 \, f}\right)}{4 \, f}"," ",0,"-1/4*(sqrt(pi)*sqrt(-f)*cosh(1/4*(b^2*log(f)^2 + e^2 - 4*d*f + 2*(b*e - 2*a*f)*log(f))/f)*erf(1/2*(2*f*x + b*log(f) + e)*sqrt(-f)/f) + sqrt(pi)*sqrt(f)*cosh(1/4*(b^2*log(f)^2 + e^2 - 4*d*f - 2*(b*e - 2*a*f)*log(f))/f)*erf(-1/2*(2*f*x - b*log(f) + e)/sqrt(f)) - sqrt(pi)*sqrt(-f)*erf(1/2*(2*f*x + b*log(f) + e)*sqrt(-f)/f)*sinh(1/4*(b^2*log(f)^2 + e^2 - 4*d*f + 2*(b*e - 2*a*f)*log(f))/f) + sqrt(pi)*sqrt(f)*erf(-1/2*(2*f*x - b*log(f) + e)/sqrt(f))*sinh(1/4*(b^2*log(f)^2 + e^2 - 4*d*f - 2*(b*e - 2*a*f)*log(f))/f))/f","B",0
309,1,334,0,0.643196," ","integrate(f^(b*x+a)*cosh(f*x^2+e*x+d)^2,x, algorithm=""fricas"")","-\frac{\sqrt{2} \sqrt{\pi} b \sqrt{-f} \cosh\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, e^{2} - 16 \, d f + 4 \, {\left(b e - 2 \, a f\right)} \log\left(f\right)}{8 \, f}\right) \operatorname{erf}\left(\frac{\sqrt{2} {\left(4 \, f x + b \log\left(f\right) + 2 \, e\right)} \sqrt{-f}}{4 \, f}\right) \log\left(f\right) + \sqrt{2} \sqrt{\pi} b \sqrt{f} \cosh\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, e^{2} - 16 \, d f - 4 \, {\left(b e - 2 \, a f\right)} \log\left(f\right)}{8 \, f}\right) \operatorname{erf}\left(-\frac{\sqrt{2} {\left(4 \, f x - b \log\left(f\right) + 2 \, e\right)}}{4 \, \sqrt{f}}\right) \log\left(f\right) - \sqrt{2} \sqrt{\pi} b \sqrt{-f} \operatorname{erf}\left(\frac{\sqrt{2} {\left(4 \, f x + b \log\left(f\right) + 2 \, e\right)} \sqrt{-f}}{4 \, f}\right) \log\left(f\right) \sinh\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, e^{2} - 16 \, d f + 4 \, {\left(b e - 2 \, a f\right)} \log\left(f\right)}{8 \, f}\right) + \sqrt{2} \sqrt{\pi} b \sqrt{f} \operatorname{erf}\left(-\frac{\sqrt{2} {\left(4 \, f x - b \log\left(f\right) + 2 \, e\right)}}{4 \, \sqrt{f}}\right) \log\left(f\right) \sinh\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, e^{2} - 16 \, d f - 4 \, {\left(b e - 2 \, a f\right)} \log\left(f\right)}{8 \, f}\right) - 8 \, f \cosh\left({\left(b x + a\right)} \log\left(f\right)\right) - 8 \, f \sinh\left({\left(b x + a\right)} \log\left(f\right)\right)}{16 \, b f \log\left(f\right)}"," ",0,"-1/16*(sqrt(2)*sqrt(pi)*b*sqrt(-f)*cosh(1/8*(b^2*log(f)^2 + 4*e^2 - 16*d*f + 4*(b*e - 2*a*f)*log(f))/f)*erf(1/4*sqrt(2)*(4*f*x + b*log(f) + 2*e)*sqrt(-f)/f)*log(f) + sqrt(2)*sqrt(pi)*b*sqrt(f)*cosh(1/8*(b^2*log(f)^2 + 4*e^2 - 16*d*f - 4*(b*e - 2*a*f)*log(f))/f)*erf(-1/4*sqrt(2)*(4*f*x - b*log(f) + 2*e)/sqrt(f))*log(f) - sqrt(2)*sqrt(pi)*b*sqrt(-f)*erf(1/4*sqrt(2)*(4*f*x + b*log(f) + 2*e)*sqrt(-f)/f)*log(f)*sinh(1/8*(b^2*log(f)^2 + 4*e^2 - 16*d*f + 4*(b*e - 2*a*f)*log(f))/f) + sqrt(2)*sqrt(pi)*b*sqrt(f)*erf(-1/4*sqrt(2)*(4*f*x - b*log(f) + 2*e)/sqrt(f))*log(f)*sinh(1/8*(b^2*log(f)^2 + 4*e^2 - 16*d*f - 4*(b*e - 2*a*f)*log(f))/f) - 8*f*cosh((b*x + a)*log(f)) - 8*f*sinh((b*x + a)*log(f)))/(b*f*log(f))","B",0
310,1,539,0,0.524573," ","integrate(f^(b*x+a)*cosh(f*x^2+e*x+d)^3,x, algorithm=""fricas"")","-\frac{\sqrt{3} \sqrt{\pi} \sqrt{-f} \cosh\left(\frac{b^{2} \log\left(f\right)^{2} + 9 \, e^{2} - 36 \, d f + 6 \, {\left(b e - 2 \, a f\right)} \log\left(f\right)}{12 \, f}\right) \operatorname{erf}\left(\frac{\sqrt{3} {\left(6 \, f x + b \log\left(f\right) + 3 \, e\right)} \sqrt{-f}}{6 \, f}\right) + \sqrt{3} \sqrt{\pi} \sqrt{f} \cosh\left(\frac{b^{2} \log\left(f\right)^{2} + 9 \, e^{2} - 36 \, d f - 6 \, {\left(b e - 2 \, a f\right)} \log\left(f\right)}{12 \, f}\right) \operatorname{erf}\left(-\frac{\sqrt{3} {\left(6 \, f x - b \log\left(f\right) + 3 \, e\right)}}{6 \, \sqrt{f}}\right) - \sqrt{3} \sqrt{\pi} \sqrt{-f} \operatorname{erf}\left(\frac{\sqrt{3} {\left(6 \, f x + b \log\left(f\right) + 3 \, e\right)} \sqrt{-f}}{6 \, f}\right) \sinh\left(\frac{b^{2} \log\left(f\right)^{2} + 9 \, e^{2} - 36 \, d f + 6 \, {\left(b e - 2 \, a f\right)} \log\left(f\right)}{12 \, f}\right) + \sqrt{3} \sqrt{\pi} \sqrt{f} \operatorname{erf}\left(-\frac{\sqrt{3} {\left(6 \, f x - b \log\left(f\right) + 3 \, e\right)}}{6 \, \sqrt{f}}\right) \sinh\left(\frac{b^{2} \log\left(f\right)^{2} + 9 \, e^{2} - 36 \, d f - 6 \, {\left(b e - 2 \, a f\right)} \log\left(f\right)}{12 \, f}\right) + 9 \, \sqrt{\pi} \sqrt{-f} \cosh\left(\frac{b^{2} \log\left(f\right)^{2} + e^{2} - 4 \, d f + 2 \, {\left(b e - 2 \, a f\right)} \log\left(f\right)}{4 \, f}\right) \operatorname{erf}\left(\frac{{\left(2 \, f x + b \log\left(f\right) + e\right)} \sqrt{-f}}{2 \, f}\right) + 9 \, \sqrt{\pi} \sqrt{f} \cosh\left(\frac{b^{2} \log\left(f\right)^{2} + e^{2} - 4 \, d f - 2 \, {\left(b e - 2 \, a f\right)} \log\left(f\right)}{4 \, f}\right) \operatorname{erf}\left(-\frac{2 \, f x - b \log\left(f\right) + e}{2 \, \sqrt{f}}\right) - 9 \, \sqrt{\pi} \sqrt{-f} \operatorname{erf}\left(\frac{{\left(2 \, f x + b \log\left(f\right) + e\right)} \sqrt{-f}}{2 \, f}\right) \sinh\left(\frac{b^{2} \log\left(f\right)^{2} + e^{2} - 4 \, d f + 2 \, {\left(b e - 2 \, a f\right)} \log\left(f\right)}{4 \, f}\right) + 9 \, \sqrt{\pi} \sqrt{f} \operatorname{erf}\left(-\frac{2 \, f x - b \log\left(f\right) + e}{2 \, \sqrt{f}}\right) \sinh\left(\frac{b^{2} \log\left(f\right)^{2} + e^{2} - 4 \, d f - 2 \, {\left(b e - 2 \, a f\right)} \log\left(f\right)}{4 \, f}\right)}{48 \, f}"," ",0,"-1/48*(sqrt(3)*sqrt(pi)*sqrt(-f)*cosh(1/12*(b^2*log(f)^2 + 9*e^2 - 36*d*f + 6*(b*e - 2*a*f)*log(f))/f)*erf(1/6*sqrt(3)*(6*f*x + b*log(f) + 3*e)*sqrt(-f)/f) + sqrt(3)*sqrt(pi)*sqrt(f)*cosh(1/12*(b^2*log(f)^2 + 9*e^2 - 36*d*f - 6*(b*e - 2*a*f)*log(f))/f)*erf(-1/6*sqrt(3)*(6*f*x - b*log(f) + 3*e)/sqrt(f)) - sqrt(3)*sqrt(pi)*sqrt(-f)*erf(1/6*sqrt(3)*(6*f*x + b*log(f) + 3*e)*sqrt(-f)/f)*sinh(1/12*(b^2*log(f)^2 + 9*e^2 - 36*d*f + 6*(b*e - 2*a*f)*log(f))/f) + sqrt(3)*sqrt(pi)*sqrt(f)*erf(-1/6*sqrt(3)*(6*f*x - b*log(f) + 3*e)/sqrt(f))*sinh(1/12*(b^2*log(f)^2 + 9*e^2 - 36*d*f - 6*(b*e - 2*a*f)*log(f))/f) + 9*sqrt(pi)*sqrt(-f)*cosh(1/4*(b^2*log(f)^2 + e^2 - 4*d*f + 2*(b*e - 2*a*f)*log(f))/f)*erf(1/2*(2*f*x + b*log(f) + e)*sqrt(-f)/f) + 9*sqrt(pi)*sqrt(f)*cosh(1/4*(b^2*log(f)^2 + e^2 - 4*d*f - 2*(b*e - 2*a*f)*log(f))/f)*erf(-1/2*(2*f*x - b*log(f) + e)/sqrt(f)) - 9*sqrt(pi)*sqrt(-f)*erf(1/2*(2*f*x + b*log(f) + e)*sqrt(-f)/f)*sinh(1/4*(b^2*log(f)^2 + e^2 - 4*d*f + 2*(b*e - 2*a*f)*log(f))/f) + 9*sqrt(pi)*sqrt(f)*erf(-1/2*(2*f*x - b*log(f) + e)/sqrt(f))*sinh(1/4*(b^2*log(f)^2 + e^2 - 4*d*f - 2*(b*e - 2*a*f)*log(f))/f))/f","B",0
311,1,216,0,0.621007," ","integrate(f^(c*x^2+a)*cosh(e*x+d),x, algorithm=""fricas"")","-\frac{\sqrt{-c \log\left(f\right)} {\left(\sqrt{\pi} \cosh\left(\frac{4 \, a c \log\left(f\right)^{2} + 4 \, c d \log\left(f\right) - e^{2}}{4 \, c \log\left(f\right)}\right) + \sqrt{\pi} \sinh\left(\frac{4 \, a c \log\left(f\right)^{2} + 4 \, c d \log\left(f\right) - e^{2}}{4 \, c \log\left(f\right)}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) + e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right) + \sqrt{-c \log\left(f\right)} {\left(\sqrt{\pi} \cosh\left(\frac{4 \, a c \log\left(f\right)^{2} - 4 \, c d \log\left(f\right) - e^{2}}{4 \, c \log\left(f\right)}\right) + \sqrt{\pi} \sinh\left(\frac{4 \, a c \log\left(f\right)^{2} - 4 \, c d \log\left(f\right) - e^{2}}{4 \, c \log\left(f\right)}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) - e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right)}{4 \, c \log\left(f\right)}"," ",0,"-1/4*(sqrt(-c*log(f))*(sqrt(pi)*cosh(1/4*(4*a*c*log(f)^2 + 4*c*d*log(f) - e^2)/(c*log(f))) + sqrt(pi)*sinh(1/4*(4*a*c*log(f)^2 + 4*c*d*log(f) - e^2)/(c*log(f))))*erf(1/2*(2*c*x*log(f) + e)*sqrt(-c*log(f))/(c*log(f))) + sqrt(-c*log(f))*(sqrt(pi)*cosh(1/4*(4*a*c*log(f)^2 - 4*c*d*log(f) - e^2)/(c*log(f))) + sqrt(pi)*sinh(1/4*(4*a*c*log(f)^2 - 4*c*d*log(f) - e^2)/(c*log(f))))*erf(1/2*(2*c*x*log(f) - e)*sqrt(-c*log(f))/(c*log(f))))/(c*log(f))","B",0
312,1,242,0,0.604310," ","integrate(f^(c*x^2+a)*cosh(e*x+d)^2,x, algorithm=""fricas"")","-\frac{2 \, \sqrt{-c \log\left(f\right)} {\left(\sqrt{\pi} \cosh\left(a \log\left(f\right)\right) + \sqrt{\pi} \sinh\left(a \log\left(f\right)\right)\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x\right) + \sqrt{-c \log\left(f\right)} {\left(\sqrt{\pi} \cosh\left(\frac{a c \log\left(f\right)^{2} + 2 \, c d \log\left(f\right) - e^{2}}{c \log\left(f\right)}\right) + \sqrt{\pi} \sinh\left(\frac{a c \log\left(f\right)^{2} + 2 \, c d \log\left(f\right) - e^{2}}{c \log\left(f\right)}\right)\right)} \operatorname{erf}\left(\frac{{\left(c x \log\left(f\right) + e\right)} \sqrt{-c \log\left(f\right)}}{c \log\left(f\right)}\right) + \sqrt{-c \log\left(f\right)} {\left(\sqrt{\pi} \cosh\left(\frac{a c \log\left(f\right)^{2} - 2 \, c d \log\left(f\right) - e^{2}}{c \log\left(f\right)}\right) + \sqrt{\pi} \sinh\left(\frac{a c \log\left(f\right)^{2} - 2 \, c d \log\left(f\right) - e^{2}}{c \log\left(f\right)}\right)\right)} \operatorname{erf}\left(\frac{{\left(c x \log\left(f\right) - e\right)} \sqrt{-c \log\left(f\right)}}{c \log\left(f\right)}\right)}{8 \, c \log\left(f\right)}"," ",0,"-1/8*(2*sqrt(-c*log(f))*(sqrt(pi)*cosh(a*log(f)) + sqrt(pi)*sinh(a*log(f)))*erf(sqrt(-c*log(f))*x) + sqrt(-c*log(f))*(sqrt(pi)*cosh((a*c*log(f)^2 + 2*c*d*log(f) - e^2)/(c*log(f))) + sqrt(pi)*sinh((a*c*log(f)^2 + 2*c*d*log(f) - e^2)/(c*log(f))))*erf((c*x*log(f) + e)*sqrt(-c*log(f))/(c*log(f))) + sqrt(-c*log(f))*(sqrt(pi)*cosh((a*c*log(f)^2 - 2*c*d*log(f) - e^2)/(c*log(f))) + sqrt(pi)*sinh((a*c*log(f)^2 - 2*c*d*log(f) - e^2)/(c*log(f))))*erf((c*x*log(f) - e)*sqrt(-c*log(f))/(c*log(f))))/(c*log(f))","A",0
313,1,426,0,0.494933," ","integrate(f^(c*x^2+a)*cosh(e*x+d)^3,x, algorithm=""fricas"")","-\frac{\sqrt{-c \log\left(f\right)} {\left(\sqrt{\pi} \cosh\left(\frac{4 \, a c \log\left(f\right)^{2} + 12 \, c d \log\left(f\right) - 9 \, e^{2}}{4 \, c \log\left(f\right)}\right) + \sqrt{\pi} \sinh\left(\frac{4 \, a c \log\left(f\right)^{2} + 12 \, c d \log\left(f\right) - 9 \, e^{2}}{4 \, c \log\left(f\right)}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) + 3 \, e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right) + 3 \, \sqrt{-c \log\left(f\right)} {\left(\sqrt{\pi} \cosh\left(\frac{4 \, a c \log\left(f\right)^{2} + 4 \, c d \log\left(f\right) - e^{2}}{4 \, c \log\left(f\right)}\right) + \sqrt{\pi} \sinh\left(\frac{4 \, a c \log\left(f\right)^{2} + 4 \, c d \log\left(f\right) - e^{2}}{4 \, c \log\left(f\right)}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) + e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right) + 3 \, \sqrt{-c \log\left(f\right)} {\left(\sqrt{\pi} \cosh\left(\frac{4 \, a c \log\left(f\right)^{2} - 4 \, c d \log\left(f\right) - e^{2}}{4 \, c \log\left(f\right)}\right) + \sqrt{\pi} \sinh\left(\frac{4 \, a c \log\left(f\right)^{2} - 4 \, c d \log\left(f\right) - e^{2}}{4 \, c \log\left(f\right)}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) - e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right) + \sqrt{-c \log\left(f\right)} {\left(\sqrt{\pi} \cosh\left(\frac{4 \, a c \log\left(f\right)^{2} - 12 \, c d \log\left(f\right) - 9 \, e^{2}}{4 \, c \log\left(f\right)}\right) + \sqrt{\pi} \sinh\left(\frac{4 \, a c \log\left(f\right)^{2} - 12 \, c d \log\left(f\right) - 9 \, e^{2}}{4 \, c \log\left(f\right)}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) - 3 \, e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right)}{16 \, c \log\left(f\right)}"," ",0,"-1/16*(sqrt(-c*log(f))*(sqrt(pi)*cosh(1/4*(4*a*c*log(f)^2 + 12*c*d*log(f) - 9*e^2)/(c*log(f))) + sqrt(pi)*sinh(1/4*(4*a*c*log(f)^2 + 12*c*d*log(f) - 9*e^2)/(c*log(f))))*erf(1/2*(2*c*x*log(f) + 3*e)*sqrt(-c*log(f))/(c*log(f))) + 3*sqrt(-c*log(f))*(sqrt(pi)*cosh(1/4*(4*a*c*log(f)^2 + 4*c*d*log(f) - e^2)/(c*log(f))) + sqrt(pi)*sinh(1/4*(4*a*c*log(f)^2 + 4*c*d*log(f) - e^2)/(c*log(f))))*erf(1/2*(2*c*x*log(f) + e)*sqrt(-c*log(f))/(c*log(f))) + 3*sqrt(-c*log(f))*(sqrt(pi)*cosh(1/4*(4*a*c*log(f)^2 - 4*c*d*log(f) - e^2)/(c*log(f))) + sqrt(pi)*sinh(1/4*(4*a*c*log(f)^2 - 4*c*d*log(f) - e^2)/(c*log(f))))*erf(1/2*(2*c*x*log(f) - e)*sqrt(-c*log(f))/(c*log(f))) + sqrt(-c*log(f))*(sqrt(pi)*cosh(1/4*(4*a*c*log(f)^2 - 12*c*d*log(f) - 9*e^2)/(c*log(f))) + sqrt(pi)*sinh(1/4*(4*a*c*log(f)^2 - 12*c*d*log(f) - 9*e^2)/(c*log(f))))*erf(1/2*(2*c*x*log(f) - 3*e)*sqrt(-c*log(f))/(c*log(f))))/(c*log(f))","B",0
314,1,145,0,0.434347," ","integrate(f^(c*x^2+a)*cosh(f*x^2+d),x, algorithm=""fricas"")","-\frac{{\left(\sqrt{\pi} {\left(c \log\left(f\right) + f\right)} \cosh\left(a \log\left(f\right) - d\right) + \sqrt{\pi} {\left(c \log\left(f\right) + f\right)} \sinh\left(a \log\left(f\right) - d\right)\right)} \sqrt{-c \log\left(f\right) + f} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + f} x\right) + {\left(\sqrt{\pi} {\left(c \log\left(f\right) - f\right)} \cosh\left(a \log\left(f\right) + d\right) + \sqrt{\pi} {\left(c \log\left(f\right) - f\right)} \sinh\left(a \log\left(f\right) + d\right)\right)} \sqrt{-c \log\left(f\right) - f} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - f} x\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} - f^{2}\right)}}"," ",0,"-1/4*((sqrt(pi)*(c*log(f) + f)*cosh(a*log(f) - d) + sqrt(pi)*(c*log(f) + f)*sinh(a*log(f) - d))*sqrt(-c*log(f) + f)*erf(sqrt(-c*log(f) + f)*x) + (sqrt(pi)*(c*log(f) - f)*cosh(a*log(f) + d) + sqrt(pi)*(c*log(f) - f)*sinh(a*log(f) + d))*sqrt(-c*log(f) - f)*erf(sqrt(-c*log(f) - f)*x))/(c^2*log(f)^2 - f^2)","B",0
315,1,254,0,0.496050," ","integrate(f^(c*x^2+a)*cosh(f*x^2+d)^2,x, algorithm=""fricas"")","-\frac{{\left(\sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} + 2 \, c f \log\left(f\right)\right)} \cosh\left(a \log\left(f\right) - 2 \, d\right) + \sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} + 2 \, c f \log\left(f\right)\right)} \sinh\left(a \log\left(f\right) - 2 \, d\right)\right)} \sqrt{-c \log\left(f\right) + 2 \, f} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + 2 \, f} x\right) + {\left(\sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} - 2 \, c f \log\left(f\right)\right)} \cosh\left(a \log\left(f\right) + 2 \, d\right) + \sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} - 2 \, c f \log\left(f\right)\right)} \sinh\left(a \log\left(f\right) + 2 \, d\right)\right)} \sqrt{-c \log\left(f\right) - 2 \, f} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - 2 \, f} x\right) + 2 \, {\left(\sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} - 4 \, f^{2}\right)} \cosh\left(a \log\left(f\right)\right) + \sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} - 4 \, f^{2}\right)} \sinh\left(a \log\left(f\right)\right)\right)} \sqrt{-c \log\left(f\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x\right)}{8 \, {\left(c^{3} \log\left(f\right)^{3} - 4 \, c f^{2} \log\left(f\right)\right)}}"," ",0,"-1/8*((sqrt(pi)*(c^2*log(f)^2 + 2*c*f*log(f))*cosh(a*log(f) - 2*d) + sqrt(pi)*(c^2*log(f)^2 + 2*c*f*log(f))*sinh(a*log(f) - 2*d))*sqrt(-c*log(f) + 2*f)*erf(sqrt(-c*log(f) + 2*f)*x) + (sqrt(pi)*(c^2*log(f)^2 - 2*c*f*log(f))*cosh(a*log(f) + 2*d) + sqrt(pi)*(c^2*log(f)^2 - 2*c*f*log(f))*sinh(a*log(f) + 2*d))*sqrt(-c*log(f) - 2*f)*erf(sqrt(-c*log(f) - 2*f)*x) + 2*(sqrt(pi)*(c^2*log(f)^2 - 4*f^2)*cosh(a*log(f)) + sqrt(pi)*(c^2*log(f)^2 - 4*f^2)*sinh(a*log(f)))*sqrt(-c*log(f))*erf(sqrt(-c*log(f))*x))/(c^3*log(f)^3 - 4*c*f^2*log(f))","B",0
316,1,491,0,0.689030," ","integrate(f^(c*x^2+a)*cosh(f*x^2+d)^3,x, algorithm=""fricas"")","-\frac{{\left(\sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} + 3 \, c^{2} f \log\left(f\right)^{2} - c f^{2} \log\left(f\right) - 3 \, f^{3}\right)} \cosh\left(a \log\left(f\right) - 3 \, d\right) + \sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} + 3 \, c^{2} f \log\left(f\right)^{2} - c f^{2} \log\left(f\right) - 3 \, f^{3}\right)} \sinh\left(a \log\left(f\right) - 3 \, d\right)\right)} \sqrt{-c \log\left(f\right) + 3 \, f} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + 3 \, f} x\right) + 3 \, {\left(\sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} + c^{2} f \log\left(f\right)^{2} - 9 \, c f^{2} \log\left(f\right) - 9 \, f^{3}\right)} \cosh\left(a \log\left(f\right) - d\right) + \sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} + c^{2} f \log\left(f\right)^{2} - 9 \, c f^{2} \log\left(f\right) - 9 \, f^{3}\right)} \sinh\left(a \log\left(f\right) - d\right)\right)} \sqrt{-c \log\left(f\right) + f} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + f} x\right) + 3 \, {\left(\sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} - c^{2} f \log\left(f\right)^{2} - 9 \, c f^{2} \log\left(f\right) + 9 \, f^{3}\right)} \cosh\left(a \log\left(f\right) + d\right) + \sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} - c^{2} f \log\left(f\right)^{2} - 9 \, c f^{2} \log\left(f\right) + 9 \, f^{3}\right)} \sinh\left(a \log\left(f\right) + d\right)\right)} \sqrt{-c \log\left(f\right) - f} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - f} x\right) + {\left(\sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} - 3 \, c^{2} f \log\left(f\right)^{2} - c f^{2} \log\left(f\right) + 3 \, f^{3}\right)} \cosh\left(a \log\left(f\right) + 3 \, d\right) + \sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} - 3 \, c^{2} f \log\left(f\right)^{2} - c f^{2} \log\left(f\right) + 3 \, f^{3}\right)} \sinh\left(a \log\left(f\right) + 3 \, d\right)\right)} \sqrt{-c \log\left(f\right) - 3 \, f} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - 3 \, f} x\right)}{16 \, {\left(c^{4} \log\left(f\right)^{4} - 10 \, c^{2} f^{2} \log\left(f\right)^{2} + 9 \, f^{4}\right)}}"," ",0,"-1/16*((sqrt(pi)*(c^3*log(f)^3 + 3*c^2*f*log(f)^2 - c*f^2*log(f) - 3*f^3)*cosh(a*log(f) - 3*d) + sqrt(pi)*(c^3*log(f)^3 + 3*c^2*f*log(f)^2 - c*f^2*log(f) - 3*f^3)*sinh(a*log(f) - 3*d))*sqrt(-c*log(f) + 3*f)*erf(sqrt(-c*log(f) + 3*f)*x) + 3*(sqrt(pi)*(c^3*log(f)^3 + c^2*f*log(f)^2 - 9*c*f^2*log(f) - 9*f^3)*cosh(a*log(f) - d) + sqrt(pi)*(c^3*log(f)^3 + c^2*f*log(f)^2 - 9*c*f^2*log(f) - 9*f^3)*sinh(a*log(f) - d))*sqrt(-c*log(f) + f)*erf(sqrt(-c*log(f) + f)*x) + 3*(sqrt(pi)*(c^3*log(f)^3 - c^2*f*log(f)^2 - 9*c*f^2*log(f) + 9*f^3)*cosh(a*log(f) + d) + sqrt(pi)*(c^3*log(f)^3 - c^2*f*log(f)^2 - 9*c*f^2*log(f) + 9*f^3)*sinh(a*log(f) + d))*sqrt(-c*log(f) - f)*erf(sqrt(-c*log(f) - f)*x) + (sqrt(pi)*(c^3*log(f)^3 - 3*c^2*f*log(f)^2 - c*f^2*log(f) + 3*f^3)*cosh(a*log(f) + 3*d) + sqrt(pi)*(c^3*log(f)^3 - 3*c^2*f*log(f)^2 - c*f^2*log(f) + 3*f^3)*sinh(a*log(f) + 3*d))*sqrt(-c*log(f) - 3*f)*erf(sqrt(-c*log(f) - 3*f)*x))/(c^4*log(f)^4 - 10*c^2*f^2*log(f)^2 + 9*f^4)","B",0
317,1,321,0,0.431046," ","integrate(f^(c*x^2+a)*cosh(f*x^2+e*x+d),x, algorithm=""fricas"")","-\frac{{\left(\sqrt{\pi} {\left(c \log\left(f\right) + f\right)} \cosh\left(\frac{4 \, a c \log\left(f\right)^{2} - e^{2} + 4 \, d f - 4 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - f\right)}}\right) + \sqrt{\pi} {\left(c \log\left(f\right) + f\right)} \sinh\left(\frac{4 \, a c \log\left(f\right)^{2} - e^{2} + 4 \, d f - 4 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) + f} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) - 2 \, f x - e\right)} \sqrt{-c \log\left(f\right) + f}}{2 \, {\left(c \log\left(f\right) - f\right)}}\right) + {\left(\sqrt{\pi} {\left(c \log\left(f\right) - f\right)} \cosh\left(\frac{4 \, a c \log\left(f\right)^{2} - e^{2} + 4 \, d f + 4 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + f\right)}}\right) + \sqrt{\pi} {\left(c \log\left(f\right) - f\right)} \sinh\left(\frac{4 \, a c \log\left(f\right)^{2} - e^{2} + 4 \, d f + 4 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) - f} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) + 2 \, f x + e\right)} \sqrt{-c \log\left(f\right) - f}}{2 \, {\left(c \log\left(f\right) + f\right)}}\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} - f^{2}\right)}}"," ",0,"-1/4*((sqrt(pi)*(c*log(f) + f)*cosh(1/4*(4*a*c*log(f)^2 - e^2 + 4*d*f - 4*(c*d + a*f)*log(f))/(c*log(f) - f)) + sqrt(pi)*(c*log(f) + f)*sinh(1/4*(4*a*c*log(f)^2 - e^2 + 4*d*f - 4*(c*d + a*f)*log(f))/(c*log(f) - f)))*sqrt(-c*log(f) + f)*erf(1/2*(2*c*x*log(f) - 2*f*x - e)*sqrt(-c*log(f) + f)/(c*log(f) - f)) + (sqrt(pi)*(c*log(f) - f)*cosh(1/4*(4*a*c*log(f)^2 - e^2 + 4*d*f + 4*(c*d + a*f)*log(f))/(c*log(f) + f)) + sqrt(pi)*(c*log(f) - f)*sinh(1/4*(4*a*c*log(f)^2 - e^2 + 4*d*f + 4*(c*d + a*f)*log(f))/(c*log(f) + f)))*sqrt(-c*log(f) - f)*erf(1/2*(2*c*x*log(f) + 2*f*x + e)*sqrt(-c*log(f) - f)/(c*log(f) + f)))/(c^2*log(f)^2 - f^2)","B",0
318,1,420,0,0.643024," ","integrate(f^(c*x^2+a)*cosh(f*x^2+e*x+d)^2,x, algorithm=""fricas"")","-\frac{2 \, {\left(\sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} - 4 \, f^{2}\right)} \cosh\left(a \log\left(f\right)\right) + \sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} - 4 \, f^{2}\right)} \sinh\left(a \log\left(f\right)\right)\right)} \sqrt{-c \log\left(f\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x\right) + {\left(\sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} + 2 \, c f \log\left(f\right)\right)} \cosh\left(\frac{a c \log\left(f\right)^{2} - e^{2} + 4 \, d f - 2 \, {\left(c d + a f\right)} \log\left(f\right)}{c \log\left(f\right) - 2 \, f}\right) + \sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} + 2 \, c f \log\left(f\right)\right)} \sinh\left(\frac{a c \log\left(f\right)^{2} - e^{2} + 4 \, d f - 2 \, {\left(c d + a f\right)} \log\left(f\right)}{c \log\left(f\right) - 2 \, f}\right)\right)} \sqrt{-c \log\left(f\right) + 2 \, f} \operatorname{erf}\left(\frac{{\left(c x \log\left(f\right) - 2 \, f x - e\right)} \sqrt{-c \log\left(f\right) + 2 \, f}}{c \log\left(f\right) - 2 \, f}\right) + {\left(\sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} - 2 \, c f \log\left(f\right)\right)} \cosh\left(\frac{a c \log\left(f\right)^{2} - e^{2} + 4 \, d f + 2 \, {\left(c d + a f\right)} \log\left(f\right)}{c \log\left(f\right) + 2 \, f}\right) + \sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} - 2 \, c f \log\left(f\right)\right)} \sinh\left(\frac{a c \log\left(f\right)^{2} - e^{2} + 4 \, d f + 2 \, {\left(c d + a f\right)} \log\left(f\right)}{c \log\left(f\right) + 2 \, f}\right)\right)} \sqrt{-c \log\left(f\right) - 2 \, f} \operatorname{erf}\left(\frac{{\left(c x \log\left(f\right) + 2 \, f x + e\right)} \sqrt{-c \log\left(f\right) - 2 \, f}}{c \log\left(f\right) + 2 \, f}\right)}{8 \, {\left(c^{3} \log\left(f\right)^{3} - 4 \, c f^{2} \log\left(f\right)\right)}}"," ",0,"-1/8*(2*(sqrt(pi)*(c^2*log(f)^2 - 4*f^2)*cosh(a*log(f)) + sqrt(pi)*(c^2*log(f)^2 - 4*f^2)*sinh(a*log(f)))*sqrt(-c*log(f))*erf(sqrt(-c*log(f))*x) + (sqrt(pi)*(c^2*log(f)^2 + 2*c*f*log(f))*cosh((a*c*log(f)^2 - e^2 + 4*d*f - 2*(c*d + a*f)*log(f))/(c*log(f) - 2*f)) + sqrt(pi)*(c^2*log(f)^2 + 2*c*f*log(f))*sinh((a*c*log(f)^2 - e^2 + 4*d*f - 2*(c*d + a*f)*log(f))/(c*log(f) - 2*f)))*sqrt(-c*log(f) + 2*f)*erf((c*x*log(f) - 2*f*x - e)*sqrt(-c*log(f) + 2*f)/(c*log(f) - 2*f)) + (sqrt(pi)*(c^2*log(f)^2 - 2*c*f*log(f))*cosh((a*c*log(f)^2 - e^2 + 4*d*f + 2*(c*d + a*f)*log(f))/(c*log(f) + 2*f)) + sqrt(pi)*(c^2*log(f)^2 - 2*c*f*log(f))*sinh((a*c*log(f)^2 - e^2 + 4*d*f + 2*(c*d + a*f)*log(f))/(c*log(f) + 2*f)))*sqrt(-c*log(f) - 2*f)*erf((c*x*log(f) + 2*f*x + e)*sqrt(-c*log(f) - 2*f)/(c*log(f) + 2*f)))/(c^3*log(f)^3 - 4*c*f^2*log(f))","B",0
319,1,847,0,0.529449," ","integrate(f^(c*x^2+a)*cosh(f*x^2+e*x+d)^3,x, algorithm=""fricas"")","-\frac{{\left(\sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} + 3 \, c^{2} f \log\left(f\right)^{2} - c f^{2} \log\left(f\right) - 3 \, f^{3}\right)} \cosh\left(\frac{4 \, a c \log\left(f\right)^{2} - 9 \, e^{2} + 36 \, d f - 12 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - 3 \, f\right)}}\right) + \sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} + 3 \, c^{2} f \log\left(f\right)^{2} - c f^{2} \log\left(f\right) - 3 \, f^{3}\right)} \sinh\left(\frac{4 \, a c \log\left(f\right)^{2} - 9 \, e^{2} + 36 \, d f - 12 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - 3 \, f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) + 3 \, f} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) - 6 \, f x - 3 \, e\right)} \sqrt{-c \log\left(f\right) + 3 \, f}}{2 \, {\left(c \log\left(f\right) - 3 \, f\right)}}\right) + 3 \, {\left(\sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} + c^{2} f \log\left(f\right)^{2} - 9 \, c f^{2} \log\left(f\right) - 9 \, f^{3}\right)} \cosh\left(\frac{4 \, a c \log\left(f\right)^{2} - e^{2} + 4 \, d f - 4 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - f\right)}}\right) + \sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} + c^{2} f \log\left(f\right)^{2} - 9 \, c f^{2} \log\left(f\right) - 9 \, f^{3}\right)} \sinh\left(\frac{4 \, a c \log\left(f\right)^{2} - e^{2} + 4 \, d f - 4 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) + f} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) - 2 \, f x - e\right)} \sqrt{-c \log\left(f\right) + f}}{2 \, {\left(c \log\left(f\right) - f\right)}}\right) + 3 \, {\left(\sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} - c^{2} f \log\left(f\right)^{2} - 9 \, c f^{2} \log\left(f\right) + 9 \, f^{3}\right)} \cosh\left(\frac{4 \, a c \log\left(f\right)^{2} - e^{2} + 4 \, d f + 4 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + f\right)}}\right) + \sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} - c^{2} f \log\left(f\right)^{2} - 9 \, c f^{2} \log\left(f\right) + 9 \, f^{3}\right)} \sinh\left(\frac{4 \, a c \log\left(f\right)^{2} - e^{2} + 4 \, d f + 4 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) - f} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) + 2 \, f x + e\right)} \sqrt{-c \log\left(f\right) - f}}{2 \, {\left(c \log\left(f\right) + f\right)}}\right) + {\left(\sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} - 3 \, c^{2} f \log\left(f\right)^{2} - c f^{2} \log\left(f\right) + 3 \, f^{3}\right)} \cosh\left(\frac{4 \, a c \log\left(f\right)^{2} - 9 \, e^{2} + 36 \, d f + 12 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + 3 \, f\right)}}\right) + \sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} - 3 \, c^{2} f \log\left(f\right)^{2} - c f^{2} \log\left(f\right) + 3 \, f^{3}\right)} \sinh\left(\frac{4 \, a c \log\left(f\right)^{2} - 9 \, e^{2} + 36 \, d f + 12 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + 3 \, f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) - 3 \, f} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) + 6 \, f x + 3 \, e\right)} \sqrt{-c \log\left(f\right) - 3 \, f}}{2 \, {\left(c \log\left(f\right) + 3 \, f\right)}}\right)}{16 \, {\left(c^{4} \log\left(f\right)^{4} - 10 \, c^{2} f^{2} \log\left(f\right)^{2} + 9 \, f^{4}\right)}}"," ",0,"-1/16*((sqrt(pi)*(c^3*log(f)^3 + 3*c^2*f*log(f)^2 - c*f^2*log(f) - 3*f^3)*cosh(1/4*(4*a*c*log(f)^2 - 9*e^2 + 36*d*f - 12*(c*d + a*f)*log(f))/(c*log(f) - 3*f)) + sqrt(pi)*(c^3*log(f)^3 + 3*c^2*f*log(f)^2 - c*f^2*log(f) - 3*f^3)*sinh(1/4*(4*a*c*log(f)^2 - 9*e^2 + 36*d*f - 12*(c*d + a*f)*log(f))/(c*log(f) - 3*f)))*sqrt(-c*log(f) + 3*f)*erf(1/2*(2*c*x*log(f) - 6*f*x - 3*e)*sqrt(-c*log(f) + 3*f)/(c*log(f) - 3*f)) + 3*(sqrt(pi)*(c^3*log(f)^3 + c^2*f*log(f)^2 - 9*c*f^2*log(f) - 9*f^3)*cosh(1/4*(4*a*c*log(f)^2 - e^2 + 4*d*f - 4*(c*d + a*f)*log(f))/(c*log(f) - f)) + sqrt(pi)*(c^3*log(f)^3 + c^2*f*log(f)^2 - 9*c*f^2*log(f) - 9*f^3)*sinh(1/4*(4*a*c*log(f)^2 - e^2 + 4*d*f - 4*(c*d + a*f)*log(f))/(c*log(f) - f)))*sqrt(-c*log(f) + f)*erf(1/2*(2*c*x*log(f) - 2*f*x - e)*sqrt(-c*log(f) + f)/(c*log(f) - f)) + 3*(sqrt(pi)*(c^3*log(f)^3 - c^2*f*log(f)^2 - 9*c*f^2*log(f) + 9*f^3)*cosh(1/4*(4*a*c*log(f)^2 - e^2 + 4*d*f + 4*(c*d + a*f)*log(f))/(c*log(f) + f)) + sqrt(pi)*(c^3*log(f)^3 - c^2*f*log(f)^2 - 9*c*f^2*log(f) + 9*f^3)*sinh(1/4*(4*a*c*log(f)^2 - e^2 + 4*d*f + 4*(c*d + a*f)*log(f))/(c*log(f) + f)))*sqrt(-c*log(f) - f)*erf(1/2*(2*c*x*log(f) + 2*f*x + e)*sqrt(-c*log(f) - f)/(c*log(f) + f)) + (sqrt(pi)*(c^3*log(f)^3 - 3*c^2*f*log(f)^2 - c*f^2*log(f) + 3*f^3)*cosh(1/4*(4*a*c*log(f)^2 - 9*e^2 + 36*d*f + 12*(c*d + a*f)*log(f))/(c*log(f) + 3*f)) + sqrt(pi)*(c^3*log(f)^3 - 3*c^2*f*log(f)^2 - c*f^2*log(f) + 3*f^3)*sinh(1/4*(4*a*c*log(f)^2 - 9*e^2 + 36*d*f + 12*(c*d + a*f)*log(f))/(c*log(f) + 3*f)))*sqrt(-c*log(f) - 3*f)*erf(1/2*(2*c*x*log(f) + 6*f*x + 3*e)*sqrt(-c*log(f) - 3*f)/(c*log(f) + 3*f)))/(c^4*log(f)^4 - 10*c^2*f^2*log(f)^2 + 9*f^4)","B",0
320,1,262,0,0.589831," ","integrate(f^(c*x^2+b*x+a)*cosh(e*x+d),x, algorithm=""fricas"")","-\frac{\sqrt{-c \log\left(f\right)} {\left(\sqrt{\pi} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + e^{2} - 2 \, {\left(2 \, c d - b e\right)} \log\left(f\right)}{4 \, c \log\left(f\right)}\right) + \sqrt{\pi} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + e^{2} - 2 \, {\left(2 \, c d - b e\right)} \log\left(f\right)}{4 \, c \log\left(f\right)}\right)\right)} \operatorname{erf}\left(\frac{{\left({\left(2 \, c x + b\right)} \log\left(f\right) + e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right) + \sqrt{-c \log\left(f\right)} {\left(\sqrt{\pi} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + e^{2} + 2 \, {\left(2 \, c d - b e\right)} \log\left(f\right)}{4 \, c \log\left(f\right)}\right) + \sqrt{\pi} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + e^{2} + 2 \, {\left(2 \, c d - b e\right)} \log\left(f\right)}{4 \, c \log\left(f\right)}\right)\right)} \operatorname{erf}\left(\frac{{\left({\left(2 \, c x + b\right)} \log\left(f\right) - e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right)}{4 \, c \log\left(f\right)}"," ",0,"-1/4*(sqrt(-c*log(f))*(sqrt(pi)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 + e^2 - 2*(2*c*d - b*e)*log(f))/(c*log(f))) + sqrt(pi)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 + e^2 - 2*(2*c*d - b*e)*log(f))/(c*log(f))))*erf(1/2*((2*c*x + b)*log(f) + e)*sqrt(-c*log(f))/(c*log(f))) + sqrt(-c*log(f))*(sqrt(pi)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 + e^2 + 2*(2*c*d - b*e)*log(f))/(c*log(f))) + sqrt(pi)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 + e^2 + 2*(2*c*d - b*e)*log(f))/(c*log(f))))*erf(1/2*((2*c*x + b)*log(f) - e)*sqrt(-c*log(f))/(c*log(f))))/(c*log(f))","B",0
321,1,341,0,0.513045," ","integrate(f^(c*x^2+b*x+a)*cosh(e*x+d)^2,x, algorithm=""fricas"")","-\frac{2 \, \sqrt{-c \log\left(f\right)} {\left(\sqrt{\pi} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)}{4 \, c}\right) + \sqrt{\pi} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)}{4 \, c}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x + b\right)} \sqrt{-c \log\left(f\right)}}{2 \, c}\right) + \sqrt{-c \log\left(f\right)} {\left(\sqrt{\pi} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + 4 \, e^{2} - 4 \, {\left(2 \, c d - b e\right)} \log\left(f\right)}{4 \, c \log\left(f\right)}\right) + \sqrt{\pi} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + 4 \, e^{2} - 4 \, {\left(2 \, c d - b e\right)} \log\left(f\right)}{4 \, c \log\left(f\right)}\right)\right)} \operatorname{erf}\left(\frac{{\left({\left(2 \, c x + b\right)} \log\left(f\right) + 2 \, e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right) + \sqrt{-c \log\left(f\right)} {\left(\sqrt{\pi} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + 4 \, e^{2} + 4 \, {\left(2 \, c d - b e\right)} \log\left(f\right)}{4 \, c \log\left(f\right)}\right) + \sqrt{\pi} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + 4 \, e^{2} + 4 \, {\left(2 \, c d - b e\right)} \log\left(f\right)}{4 \, c \log\left(f\right)}\right)\right)} \operatorname{erf}\left(\frac{{\left({\left(2 \, c x + b\right)} \log\left(f\right) - 2 \, e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right)}{8 \, c \log\left(f\right)}"," ",0,"-1/8*(2*sqrt(-c*log(f))*(sqrt(pi)*cosh(-1/4*(b^2 - 4*a*c)*log(f)/c) + sqrt(pi)*sinh(-1/4*(b^2 - 4*a*c)*log(f)/c))*erf(1/2*(2*c*x + b)*sqrt(-c*log(f))/c) + sqrt(-c*log(f))*(sqrt(pi)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 + 4*e^2 - 4*(2*c*d - b*e)*log(f))/(c*log(f))) + sqrt(pi)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 + 4*e^2 - 4*(2*c*d - b*e)*log(f))/(c*log(f))))*erf(1/2*((2*c*x + b)*log(f) + 2*e)*sqrt(-c*log(f))/(c*log(f))) + sqrt(-c*log(f))*(sqrt(pi)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 + 4*e^2 + 4*(2*c*d - b*e)*log(f))/(c*log(f))) + sqrt(pi)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 + 4*e^2 + 4*(2*c*d - b*e)*log(f))/(c*log(f))))*erf(1/2*((2*c*x + b)*log(f) - 2*e)*sqrt(-c*log(f))/(c*log(f))))/(c*log(f))","B",0
322,1,526,0,0.634645," ","integrate(f^(c*x^2+b*x+a)*cosh(e*x+d)^3,x, algorithm=""fricas"")","-\frac{\sqrt{-c \log\left(f\right)} {\left(\sqrt{\pi} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + 9 \, e^{2} - 6 \, {\left(2 \, c d - b e\right)} \log\left(f\right)}{4 \, c \log\left(f\right)}\right) + \sqrt{\pi} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + 9 \, e^{2} - 6 \, {\left(2 \, c d - b e\right)} \log\left(f\right)}{4 \, c \log\left(f\right)}\right)\right)} \operatorname{erf}\left(\frac{{\left({\left(2 \, c x + b\right)} \log\left(f\right) + 3 \, e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right) + 3 \, \sqrt{-c \log\left(f\right)} {\left(\sqrt{\pi} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + e^{2} - 2 \, {\left(2 \, c d - b e\right)} \log\left(f\right)}{4 \, c \log\left(f\right)}\right) + \sqrt{\pi} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + e^{2} - 2 \, {\left(2 \, c d - b e\right)} \log\left(f\right)}{4 \, c \log\left(f\right)}\right)\right)} \operatorname{erf}\left(\frac{{\left({\left(2 \, c x + b\right)} \log\left(f\right) + e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right) + 3 \, \sqrt{-c \log\left(f\right)} {\left(\sqrt{\pi} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + e^{2} + 2 \, {\left(2 \, c d - b e\right)} \log\left(f\right)}{4 \, c \log\left(f\right)}\right) + \sqrt{\pi} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + e^{2} + 2 \, {\left(2 \, c d - b e\right)} \log\left(f\right)}{4 \, c \log\left(f\right)}\right)\right)} \operatorname{erf}\left(\frac{{\left({\left(2 \, c x + b\right)} \log\left(f\right) - e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right) + \sqrt{-c \log\left(f\right)} {\left(\sqrt{\pi} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + 9 \, e^{2} + 6 \, {\left(2 \, c d - b e\right)} \log\left(f\right)}{4 \, c \log\left(f\right)}\right) + \sqrt{\pi} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + 9 \, e^{2} + 6 \, {\left(2 \, c d - b e\right)} \log\left(f\right)}{4 \, c \log\left(f\right)}\right)\right)} \operatorname{erf}\left(\frac{{\left({\left(2 \, c x + b\right)} \log\left(f\right) - 3 \, e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right)}{16 \, c \log\left(f\right)}"," ",0,"-1/16*(sqrt(-c*log(f))*(sqrt(pi)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 + 9*e^2 - 6*(2*c*d - b*e)*log(f))/(c*log(f))) + sqrt(pi)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 + 9*e^2 - 6*(2*c*d - b*e)*log(f))/(c*log(f))))*erf(1/2*((2*c*x + b)*log(f) + 3*e)*sqrt(-c*log(f))/(c*log(f))) + 3*sqrt(-c*log(f))*(sqrt(pi)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 + e^2 - 2*(2*c*d - b*e)*log(f))/(c*log(f))) + sqrt(pi)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 + e^2 - 2*(2*c*d - b*e)*log(f))/(c*log(f))))*erf(1/2*((2*c*x + b)*log(f) + e)*sqrt(-c*log(f))/(c*log(f))) + 3*sqrt(-c*log(f))*(sqrt(pi)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 + e^2 + 2*(2*c*d - b*e)*log(f))/(c*log(f))) + sqrt(pi)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 + e^2 + 2*(2*c*d - b*e)*log(f))/(c*log(f))))*erf(1/2*((2*c*x + b)*log(f) - e)*sqrt(-c*log(f))/(c*log(f))) + sqrt(-c*log(f))*(sqrt(pi)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 + 9*e^2 + 6*(2*c*d - b*e)*log(f))/(c*log(f))) + sqrt(pi)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 + 9*e^2 + 6*(2*c*d - b*e)*log(f))/(c*log(f))))*erf(1/2*((2*c*x + b)*log(f) - 3*e)*sqrt(-c*log(f))/(c*log(f))))/(c*log(f))","B",0
323,1,324,0,0.541596," ","integrate(f^(c*x^2+b*x+a)*cosh(f*x^2+d),x, algorithm=""fricas"")","-\frac{{\left(\sqrt{\pi} {\left(c \log\left(f\right) + f\right)} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} - 4 \, d f + 4 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - f\right)}}\right) + \sqrt{\pi} {\left(c \log\left(f\right) + f\right)} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} - 4 \, d f + 4 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) + f} \operatorname{erf}\left(-\frac{{\left(2 \, f x - {\left(2 \, c x + b\right)} \log\left(f\right)\right)} \sqrt{-c \log\left(f\right) + f}}{2 \, {\left(c \log\left(f\right) - f\right)}}\right) + {\left(\sqrt{\pi} {\left(c \log\left(f\right) - f\right)} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} - 4 \, d f - 4 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + f\right)}}\right) + \sqrt{\pi} {\left(c \log\left(f\right) - f\right)} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} - 4 \, d f - 4 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) - f} \operatorname{erf}\left(\frac{{\left(2 \, f x + {\left(2 \, c x + b\right)} \log\left(f\right)\right)} \sqrt{-c \log\left(f\right) - f}}{2 \, {\left(c \log\left(f\right) + f\right)}}\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} - f^{2}\right)}}"," ",0,"-1/4*((sqrt(pi)*(c*log(f) + f)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 - 4*d*f + 4*(c*d + a*f)*log(f))/(c*log(f) - f)) + sqrt(pi)*(c*log(f) + f)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 - 4*d*f + 4*(c*d + a*f)*log(f))/(c*log(f) - f)))*sqrt(-c*log(f) + f)*erf(-1/2*(2*f*x - (2*c*x + b)*log(f))*sqrt(-c*log(f) + f)/(c*log(f) - f)) + (sqrt(pi)*(c*log(f) - f)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 - 4*d*f - 4*(c*d + a*f)*log(f))/(c*log(f) + f)) + sqrt(pi)*(c*log(f) - f)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 - 4*d*f - 4*(c*d + a*f)*log(f))/(c*log(f) + f)))*sqrt(-c*log(f) - f)*erf(1/2*(2*f*x + (2*c*x + b)*log(f))*sqrt(-c*log(f) - f)/(c*log(f) + f)))/(c^2*log(f)^2 - f^2)","B",0
324,1,466,0,0.480299," ","integrate(f^(c*x^2+b*x+a)*cosh(f*x^2+d)^2,x, algorithm=""fricas"")","-\frac{{\left(\sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} + 2 \, c f \log\left(f\right)\right)} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} - 16 \, d f + 8 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - 2 \, f\right)}}\right) + \sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} + 2 \, c f \log\left(f\right)\right)} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} - 16 \, d f + 8 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - 2 \, f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) + 2 \, f} \operatorname{erf}\left(-\frac{{\left(4 \, f x - {\left(2 \, c x + b\right)} \log\left(f\right)\right)} \sqrt{-c \log\left(f\right) + 2 \, f}}{2 \, {\left(c \log\left(f\right) - 2 \, f\right)}}\right) + {\left(\sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} - 2 \, c f \log\left(f\right)\right)} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} - 16 \, d f - 8 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + 2 \, f\right)}}\right) + \sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} - 2 \, c f \log\left(f\right)\right)} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} - 16 \, d f - 8 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + 2 \, f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) - 2 \, f} \operatorname{erf}\left(\frac{{\left(4 \, f x + {\left(2 \, c x + b\right)} \log\left(f\right)\right)} \sqrt{-c \log\left(f\right) - 2 \, f}}{2 \, {\left(c \log\left(f\right) + 2 \, f\right)}}\right) + 2 \, {\left(\sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} - 4 \, f^{2}\right)} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)}{4 \, c}\right) + \sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} - 4 \, f^{2}\right)} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)}{4 \, c}\right)\right)} \sqrt{-c \log\left(f\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x + b\right)} \sqrt{-c \log\left(f\right)}}{2 \, c}\right)}{8 \, {\left(c^{3} \log\left(f\right)^{3} - 4 \, c f^{2} \log\left(f\right)\right)}}"," ",0,"-1/8*((sqrt(pi)*(c^2*log(f)^2 + 2*c*f*log(f))*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 - 16*d*f + 8*(c*d + a*f)*log(f))/(c*log(f) - 2*f)) + sqrt(pi)*(c^2*log(f)^2 + 2*c*f*log(f))*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 - 16*d*f + 8*(c*d + a*f)*log(f))/(c*log(f) - 2*f)))*sqrt(-c*log(f) + 2*f)*erf(-1/2*(4*f*x - (2*c*x + b)*log(f))*sqrt(-c*log(f) + 2*f)/(c*log(f) - 2*f)) + (sqrt(pi)*(c^2*log(f)^2 - 2*c*f*log(f))*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 - 16*d*f - 8*(c*d + a*f)*log(f))/(c*log(f) + 2*f)) + sqrt(pi)*(c^2*log(f)^2 - 2*c*f*log(f))*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 - 16*d*f - 8*(c*d + a*f)*log(f))/(c*log(f) + 2*f)))*sqrt(-c*log(f) - 2*f)*erf(1/2*(4*f*x + (2*c*x + b)*log(f))*sqrt(-c*log(f) - 2*f)/(c*log(f) + 2*f)) + 2*(sqrt(pi)*(c^2*log(f)^2 - 4*f^2)*cosh(-1/4*(b^2 - 4*a*c)*log(f)/c) + sqrt(pi)*(c^2*log(f)^2 - 4*f^2)*sinh(-1/4*(b^2 - 4*a*c)*log(f)/c))*sqrt(-c*log(f))*erf(1/2*(2*c*x + b)*sqrt(-c*log(f))/c))/(c^3*log(f)^3 - 4*c*f^2*log(f))","B",0
325,1,851,0,0.634072," ","integrate(f^(c*x^2+b*x+a)*cosh(f*x^2+d)^3,x, algorithm=""fricas"")","-\frac{{\left(\sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} + 3 \, c^{2} f \log\left(f\right)^{2} - c f^{2} \log\left(f\right) - 3 \, f^{3}\right)} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} - 36 \, d f + 12 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - 3 \, f\right)}}\right) + \sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} + 3 \, c^{2} f \log\left(f\right)^{2} - c f^{2} \log\left(f\right) - 3 \, f^{3}\right)} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} - 36 \, d f + 12 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - 3 \, f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) + 3 \, f} \operatorname{erf}\left(-\frac{{\left(6 \, f x - {\left(2 \, c x + b\right)} \log\left(f\right)\right)} \sqrt{-c \log\left(f\right) + 3 \, f}}{2 \, {\left(c \log\left(f\right) - 3 \, f\right)}}\right) + 3 \, {\left(\sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} + c^{2} f \log\left(f\right)^{2} - 9 \, c f^{2} \log\left(f\right) - 9 \, f^{3}\right)} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} - 4 \, d f + 4 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - f\right)}}\right) + \sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} + c^{2} f \log\left(f\right)^{2} - 9 \, c f^{2} \log\left(f\right) - 9 \, f^{3}\right)} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} - 4 \, d f + 4 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) + f} \operatorname{erf}\left(-\frac{{\left(2 \, f x - {\left(2 \, c x + b\right)} \log\left(f\right)\right)} \sqrt{-c \log\left(f\right) + f}}{2 \, {\left(c \log\left(f\right) - f\right)}}\right) + 3 \, {\left(\sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} - c^{2} f \log\left(f\right)^{2} - 9 \, c f^{2} \log\left(f\right) + 9 \, f^{3}\right)} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} - 4 \, d f - 4 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + f\right)}}\right) + \sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} - c^{2} f \log\left(f\right)^{2} - 9 \, c f^{2} \log\left(f\right) + 9 \, f^{3}\right)} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} - 4 \, d f - 4 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) - f} \operatorname{erf}\left(\frac{{\left(2 \, f x + {\left(2 \, c x + b\right)} \log\left(f\right)\right)} \sqrt{-c \log\left(f\right) - f}}{2 \, {\left(c \log\left(f\right) + f\right)}}\right) + {\left(\sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} - 3 \, c^{2} f \log\left(f\right)^{2} - c f^{2} \log\left(f\right) + 3 \, f^{3}\right)} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} - 36 \, d f - 12 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + 3 \, f\right)}}\right) + \sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} - 3 \, c^{2} f \log\left(f\right)^{2} - c f^{2} \log\left(f\right) + 3 \, f^{3}\right)} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} - 36 \, d f - 12 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + 3 \, f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) - 3 \, f} \operatorname{erf}\left(\frac{{\left(6 \, f x + {\left(2 \, c x + b\right)} \log\left(f\right)\right)} \sqrt{-c \log\left(f\right) - 3 \, f}}{2 \, {\left(c \log\left(f\right) + 3 \, f\right)}}\right)}{16 \, {\left(c^{4} \log\left(f\right)^{4} - 10 \, c^{2} f^{2} \log\left(f\right)^{2} + 9 \, f^{4}\right)}}"," ",0,"-1/16*((sqrt(pi)*(c^3*log(f)^3 + 3*c^2*f*log(f)^2 - c*f^2*log(f) - 3*f^3)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 - 36*d*f + 12*(c*d + a*f)*log(f))/(c*log(f) - 3*f)) + sqrt(pi)*(c^3*log(f)^3 + 3*c^2*f*log(f)^2 - c*f^2*log(f) - 3*f^3)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 - 36*d*f + 12*(c*d + a*f)*log(f))/(c*log(f) - 3*f)))*sqrt(-c*log(f) + 3*f)*erf(-1/2*(6*f*x - (2*c*x + b)*log(f))*sqrt(-c*log(f) + 3*f)/(c*log(f) - 3*f)) + 3*(sqrt(pi)*(c^3*log(f)^3 + c^2*f*log(f)^2 - 9*c*f^2*log(f) - 9*f^3)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 - 4*d*f + 4*(c*d + a*f)*log(f))/(c*log(f) - f)) + sqrt(pi)*(c^3*log(f)^3 + c^2*f*log(f)^2 - 9*c*f^2*log(f) - 9*f^3)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 - 4*d*f + 4*(c*d + a*f)*log(f))/(c*log(f) - f)))*sqrt(-c*log(f) + f)*erf(-1/2*(2*f*x - (2*c*x + b)*log(f))*sqrt(-c*log(f) + f)/(c*log(f) - f)) + 3*(sqrt(pi)*(c^3*log(f)^3 - c^2*f*log(f)^2 - 9*c*f^2*log(f) + 9*f^3)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 - 4*d*f - 4*(c*d + a*f)*log(f))/(c*log(f) + f)) + sqrt(pi)*(c^3*log(f)^3 - c^2*f*log(f)^2 - 9*c*f^2*log(f) + 9*f^3)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 - 4*d*f - 4*(c*d + a*f)*log(f))/(c*log(f) + f)))*sqrt(-c*log(f) - f)*erf(1/2*(2*f*x + (2*c*x + b)*log(f))*sqrt(-c*log(f) - f)/(c*log(f) + f)) + (sqrt(pi)*(c^3*log(f)^3 - 3*c^2*f*log(f)^2 - c*f^2*log(f) + 3*f^3)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 - 36*d*f - 12*(c*d + a*f)*log(f))/(c*log(f) + 3*f)) + sqrt(pi)*(c^3*log(f)^3 - 3*c^2*f*log(f)^2 - c*f^2*log(f) + 3*f^3)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 - 36*d*f - 12*(c*d + a*f)*log(f))/(c*log(f) + 3*f)))*sqrt(-c*log(f) - 3*f)*erf(1/2*(6*f*x + (2*c*x + b)*log(f))*sqrt(-c*log(f) - 3*f)/(c*log(f) + 3*f)))/(c^4*log(f)^4 - 10*c^2*f^2*log(f)^2 + 9*f^4)","B",0
326,1,362,0,0.535931," ","integrate(f^(c*x^2+b*x+a)*cosh(f*x^2+e*x+d),x, algorithm=""fricas"")","-\frac{{\left(\sqrt{\pi} {\left(c \log\left(f\right) + f\right)} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + e^{2} - 4 \, d f + 2 \, {\left(2 \, c d - b e + 2 \, a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - f\right)}}\right) + \sqrt{\pi} {\left(c \log\left(f\right) + f\right)} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + e^{2} - 4 \, d f + 2 \, {\left(2 \, c d - b e + 2 \, a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) + f} \operatorname{erf}\left(-\frac{{\left(2 \, f x - {\left(2 \, c x + b\right)} \log\left(f\right) + e\right)} \sqrt{-c \log\left(f\right) + f}}{2 \, {\left(c \log\left(f\right) - f\right)}}\right) + {\left(\sqrt{\pi} {\left(c \log\left(f\right) - f\right)} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + e^{2} - 4 \, d f - 2 \, {\left(2 \, c d - b e + 2 \, a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + f\right)}}\right) + \sqrt{\pi} {\left(c \log\left(f\right) - f\right)} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + e^{2} - 4 \, d f - 2 \, {\left(2 \, c d - b e + 2 \, a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) - f} \operatorname{erf}\left(\frac{{\left(2 \, f x + {\left(2 \, c x + b\right)} \log\left(f\right) + e\right)} \sqrt{-c \log\left(f\right) - f}}{2 \, {\left(c \log\left(f\right) + f\right)}}\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} - f^{2}\right)}}"," ",0,"-1/4*((sqrt(pi)*(c*log(f) + f)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 + e^2 - 4*d*f + 2*(2*c*d - b*e + 2*a*f)*log(f))/(c*log(f) - f)) + sqrt(pi)*(c*log(f) + f)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 + e^2 - 4*d*f + 2*(2*c*d - b*e + 2*a*f)*log(f))/(c*log(f) - f)))*sqrt(-c*log(f) + f)*erf(-1/2*(2*f*x - (2*c*x + b)*log(f) + e)*sqrt(-c*log(f) + f)/(c*log(f) - f)) + (sqrt(pi)*(c*log(f) - f)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 + e^2 - 4*d*f - 2*(2*c*d - b*e + 2*a*f)*log(f))/(c*log(f) + f)) + sqrt(pi)*(c*log(f) - f)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 + e^2 - 4*d*f - 2*(2*c*d - b*e + 2*a*f)*log(f))/(c*log(f) + f)))*sqrt(-c*log(f) - f)*erf(1/2*(2*f*x + (2*c*x + b)*log(f) + e)*sqrt(-c*log(f) - f)/(c*log(f) + f)))/(c^2*log(f)^2 - f^2)","B",0
327,1,516,0,0.473027," ","integrate(f^(c*x^2+b*x+a)*cosh(f*x^2+e*x+d)^2,x, algorithm=""fricas"")","-\frac{{\left(\sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} + 2 \, c f \log\left(f\right)\right)} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + 4 \, e^{2} - 16 \, d f + 4 \, {\left(2 \, c d - b e + 2 \, a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - 2 \, f\right)}}\right) + \sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} + 2 \, c f \log\left(f\right)\right)} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + 4 \, e^{2} - 16 \, d f + 4 \, {\left(2 \, c d - b e + 2 \, a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - 2 \, f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) + 2 \, f} \operatorname{erf}\left(-\frac{{\left(4 \, f x - {\left(2 \, c x + b\right)} \log\left(f\right) + 2 \, e\right)} \sqrt{-c \log\left(f\right) + 2 \, f}}{2 \, {\left(c \log\left(f\right) - 2 \, f\right)}}\right) + {\left(\sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} - 2 \, c f \log\left(f\right)\right)} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + 4 \, e^{2} - 16 \, d f - 4 \, {\left(2 \, c d - b e + 2 \, a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + 2 \, f\right)}}\right) + \sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} - 2 \, c f \log\left(f\right)\right)} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + 4 \, e^{2} - 16 \, d f - 4 \, {\left(2 \, c d - b e + 2 \, a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + 2 \, f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) - 2 \, f} \operatorname{erf}\left(\frac{{\left(4 \, f x + {\left(2 \, c x + b\right)} \log\left(f\right) + 2 \, e\right)} \sqrt{-c \log\left(f\right) - 2 \, f}}{2 \, {\left(c \log\left(f\right) + 2 \, f\right)}}\right) + 2 \, {\left(\sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} - 4 \, f^{2}\right)} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)}{4 \, c}\right) + \sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} - 4 \, f^{2}\right)} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)}{4 \, c}\right)\right)} \sqrt{-c \log\left(f\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x + b\right)} \sqrt{-c \log\left(f\right)}}{2 \, c}\right)}{8 \, {\left(c^{3} \log\left(f\right)^{3} - 4 \, c f^{2} \log\left(f\right)\right)}}"," ",0,"-1/8*((sqrt(pi)*(c^2*log(f)^2 + 2*c*f*log(f))*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 + 4*e^2 - 16*d*f + 4*(2*c*d - b*e + 2*a*f)*log(f))/(c*log(f) - 2*f)) + sqrt(pi)*(c^2*log(f)^2 + 2*c*f*log(f))*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 + 4*e^2 - 16*d*f + 4*(2*c*d - b*e + 2*a*f)*log(f))/(c*log(f) - 2*f)))*sqrt(-c*log(f) + 2*f)*erf(-1/2*(4*f*x - (2*c*x + b)*log(f) + 2*e)*sqrt(-c*log(f) + 2*f)/(c*log(f) - 2*f)) + (sqrt(pi)*(c^2*log(f)^2 - 2*c*f*log(f))*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 + 4*e^2 - 16*d*f - 4*(2*c*d - b*e + 2*a*f)*log(f))/(c*log(f) + 2*f)) + sqrt(pi)*(c^2*log(f)^2 - 2*c*f*log(f))*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 + 4*e^2 - 16*d*f - 4*(2*c*d - b*e + 2*a*f)*log(f))/(c*log(f) + 2*f)))*sqrt(-c*log(f) - 2*f)*erf(1/2*(4*f*x + (2*c*x + b)*log(f) + 2*e)*sqrt(-c*log(f) - 2*f)/(c*log(f) + 2*f)) + 2*(sqrt(pi)*(c^2*log(f)^2 - 4*f^2)*cosh(-1/4*(b^2 - 4*a*c)*log(f)/c) + sqrt(pi)*(c^2*log(f)^2 - 4*f^2)*sinh(-1/4*(b^2 - 4*a*c)*log(f)/c))*sqrt(-c*log(f))*erf(1/2*(2*c*x + b)*sqrt(-c*log(f))/c))/(c^3*log(f)^3 - 4*c*f^2*log(f))","B",0
328,1,939,0,0.478015," ","integrate(f^(c*x^2+b*x+a)*cosh(f*x^2+e*x+d)^3,x, algorithm=""fricas"")","-\frac{{\left(\sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} + 3 \, c^{2} f \log\left(f\right)^{2} - c f^{2} \log\left(f\right) - 3 \, f^{3}\right)} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + 9 \, e^{2} - 36 \, d f + 6 \, {\left(2 \, c d - b e + 2 \, a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - 3 \, f\right)}}\right) + \sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} + 3 \, c^{2} f \log\left(f\right)^{2} - c f^{2} \log\left(f\right) - 3 \, f^{3}\right)} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + 9 \, e^{2} - 36 \, d f + 6 \, {\left(2 \, c d - b e + 2 \, a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - 3 \, f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) + 3 \, f} \operatorname{erf}\left(-\frac{{\left(6 \, f x - {\left(2 \, c x + b\right)} \log\left(f\right) + 3 \, e\right)} \sqrt{-c \log\left(f\right) + 3 \, f}}{2 \, {\left(c \log\left(f\right) - 3 \, f\right)}}\right) + 3 \, {\left(\sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} + c^{2} f \log\left(f\right)^{2} - 9 \, c f^{2} \log\left(f\right) - 9 \, f^{3}\right)} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + e^{2} - 4 \, d f + 2 \, {\left(2 \, c d - b e + 2 \, a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - f\right)}}\right) + \sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} + c^{2} f \log\left(f\right)^{2} - 9 \, c f^{2} \log\left(f\right) - 9 \, f^{3}\right)} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + e^{2} - 4 \, d f + 2 \, {\left(2 \, c d - b e + 2 \, a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) + f} \operatorname{erf}\left(-\frac{{\left(2 \, f x - {\left(2 \, c x + b\right)} \log\left(f\right) + e\right)} \sqrt{-c \log\left(f\right) + f}}{2 \, {\left(c \log\left(f\right) - f\right)}}\right) + 3 \, {\left(\sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} - c^{2} f \log\left(f\right)^{2} - 9 \, c f^{2} \log\left(f\right) + 9 \, f^{3}\right)} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + e^{2} - 4 \, d f - 2 \, {\left(2 \, c d - b e + 2 \, a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + f\right)}}\right) + \sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} - c^{2} f \log\left(f\right)^{2} - 9 \, c f^{2} \log\left(f\right) + 9 \, f^{3}\right)} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + e^{2} - 4 \, d f - 2 \, {\left(2 \, c d - b e + 2 \, a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) - f} \operatorname{erf}\left(\frac{{\left(2 \, f x + {\left(2 \, c x + b\right)} \log\left(f\right) + e\right)} \sqrt{-c \log\left(f\right) - f}}{2 \, {\left(c \log\left(f\right) + f\right)}}\right) + {\left(\sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} - 3 \, c^{2} f \log\left(f\right)^{2} - c f^{2} \log\left(f\right) + 3 \, f^{3}\right)} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + 9 \, e^{2} - 36 \, d f - 6 \, {\left(2 \, c d - b e + 2 \, a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + 3 \, f\right)}}\right) + \sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} - 3 \, c^{2} f \log\left(f\right)^{2} - c f^{2} \log\left(f\right) + 3 \, f^{3}\right)} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + 9 \, e^{2} - 36 \, d f - 6 \, {\left(2 \, c d - b e + 2 \, a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + 3 \, f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) - 3 \, f} \operatorname{erf}\left(\frac{{\left(6 \, f x + {\left(2 \, c x + b\right)} \log\left(f\right) + 3 \, e\right)} \sqrt{-c \log\left(f\right) - 3 \, f}}{2 \, {\left(c \log\left(f\right) + 3 \, f\right)}}\right)}{16 \, {\left(c^{4} \log\left(f\right)^{4} - 10 \, c^{2} f^{2} \log\left(f\right)^{2} + 9 \, f^{4}\right)}}"," ",0,"-1/16*((sqrt(pi)*(c^3*log(f)^3 + 3*c^2*f*log(f)^2 - c*f^2*log(f) - 3*f^3)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 + 9*e^2 - 36*d*f + 6*(2*c*d - b*e + 2*a*f)*log(f))/(c*log(f) - 3*f)) + sqrt(pi)*(c^3*log(f)^3 + 3*c^2*f*log(f)^2 - c*f^2*log(f) - 3*f^3)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 + 9*e^2 - 36*d*f + 6*(2*c*d - b*e + 2*a*f)*log(f))/(c*log(f) - 3*f)))*sqrt(-c*log(f) + 3*f)*erf(-1/2*(6*f*x - (2*c*x + b)*log(f) + 3*e)*sqrt(-c*log(f) + 3*f)/(c*log(f) - 3*f)) + 3*(sqrt(pi)*(c^3*log(f)^3 + c^2*f*log(f)^2 - 9*c*f^2*log(f) - 9*f^3)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 + e^2 - 4*d*f + 2*(2*c*d - b*e + 2*a*f)*log(f))/(c*log(f) - f)) + sqrt(pi)*(c^3*log(f)^3 + c^2*f*log(f)^2 - 9*c*f^2*log(f) - 9*f^3)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 + e^2 - 4*d*f + 2*(2*c*d - b*e + 2*a*f)*log(f))/(c*log(f) - f)))*sqrt(-c*log(f) + f)*erf(-1/2*(2*f*x - (2*c*x + b)*log(f) + e)*sqrt(-c*log(f) + f)/(c*log(f) - f)) + 3*(sqrt(pi)*(c^3*log(f)^3 - c^2*f*log(f)^2 - 9*c*f^2*log(f) + 9*f^3)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 + e^2 - 4*d*f - 2*(2*c*d - b*e + 2*a*f)*log(f))/(c*log(f) + f)) + sqrt(pi)*(c^3*log(f)^3 - c^2*f*log(f)^2 - 9*c*f^2*log(f) + 9*f^3)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 + e^2 - 4*d*f - 2*(2*c*d - b*e + 2*a*f)*log(f))/(c*log(f) + f)))*sqrt(-c*log(f) - f)*erf(1/2*(2*f*x + (2*c*x + b)*log(f) + e)*sqrt(-c*log(f) - f)/(c*log(f) + f)) + (sqrt(pi)*(c^3*log(f)^3 - 3*c^2*f*log(f)^2 - c*f^2*log(f) + 3*f^3)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 + 9*e^2 - 36*d*f - 6*(2*c*d - b*e + 2*a*f)*log(f))/(c*log(f) + 3*f)) + sqrt(pi)*(c^3*log(f)^3 - 3*c^2*f*log(f)^2 - c*f^2*log(f) + 3*f^3)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 + 9*e^2 - 36*d*f - 6*(2*c*d - b*e + 2*a*f)*log(f))/(c*log(f) + 3*f)))*sqrt(-c*log(f) - 3*f)*erf(1/2*(6*f*x + (2*c*x + b)*log(f) + 3*e)*sqrt(-c*log(f) - 3*f)/(c*log(f) + 3*f)))/(c^4*log(f)^4 - 10*c^2*f^2*log(f)^2 + 9*f^4)","B",0
329,-2,0,0,0.000000," ","integrate(x/cosh(x)^(3/2)+x*cosh(x)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
330,1,109,0,0.499246," ","integrate(x/cosh(x)^(5/2)-1/3*x/cosh(x)^(1/2),x, algorithm=""fricas"")","\frac{4 \, {\left({\left(x + 2\right)} \cosh\left(x\right)^{3} + 3 \, {\left(x + 2\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(x + 2\right)} \sinh\left(x\right)^{3} - {\left(x - 2\right)} \cosh\left(x\right) + {\left(3 \, {\left(x + 2\right)} \cosh\left(x\right)^{2} - x + 2\right)} \sinh\left(x\right)\right)} \sqrt{\cosh\left(x\right)}}{3 \, {\left(\cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + 2 \, \cosh\left(x\right)^{2} + 4 \, {\left(\cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)}}"," ",0,"4/3*((x + 2)*cosh(x)^3 + 3*(x + 2)*cosh(x)*sinh(x)^2 + (x + 2)*sinh(x)^3 - (x - 2)*cosh(x) + (3*(x + 2)*cosh(x)^2 - x + 2)*sinh(x))*sqrt(cosh(x))/(cosh(x)^4 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 + 2*(3*cosh(x)^2 + 1)*sinh(x)^2 + 2*cosh(x)^2 + 4*(cosh(x)^3 + cosh(x))*sinh(x) + 1)","B",0
331,-2,0,0,0.000000," ","integrate(x/cosh(x)^(7/2)+3/5*x*cosh(x)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
332,-2,0,0,0.000000," ","integrate(x^2/cosh(x)^(3/2)+x^2*cosh(x)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
333,1,23,0,0.665259," ","integrate((x+cosh(x))^2,x, algorithm=""fricas"")","\frac{1}{3} \, x^{3} + \frac{1}{2} \, {\left(4 \, x + \cosh\left(x\right)\right)} \sinh\left(x\right) + \frac{1}{2} \, x - 2 \, \cosh\left(x\right)"," ",0,"1/3*x^3 + 1/2*(4*x + cosh(x))*sinh(x) + 1/2*x - 2*cosh(x)","A",0
334,1,54,0,0.568311," ","integrate((x+cosh(x))^3,x, algorithm=""fricas"")","\frac{1}{4} \, x^{4} + \frac{1}{12} \, \sinh\left(x\right)^{3} + \frac{3}{4} \, x^{2} - 6 \, x \cosh\left(x\right) - \frac{3}{8} \, \cosh\left(x\right)^{2} + \frac{1}{4} \, {\left(12 \, x^{2} + 6 \, x \cosh\left(x\right) + \cosh\left(x\right)^{2} + 27\right)} \sinh\left(x\right) - \frac{3}{8} \, \sinh\left(x\right)^{2}"," ",0,"1/4*x^4 + 1/12*sinh(x)^3 + 3/4*x^2 - 6*x*cosh(x) - 3/8*cosh(x)^2 + 1/4*(12*x^2 + 6*x*cosh(x) + cosh(x)^2 + 27)*sinh(x) - 3/8*sinh(x)^2","A",0
335,1,316,0,0.517360," ","integrate(cosh(b*x+a)/(d*x^2+c),x, algorithm=""fricas"")","-\frac{{\left(\sqrt{-\frac{b^{2} c}{d}} {\rm Ei}\left(b x - \sqrt{-\frac{b^{2} c}{d}}\right) + \sqrt{-\frac{b^{2} c}{d}} {\rm Ei}\left(-b x + \sqrt{-\frac{b^{2} c}{d}}\right)\right)} \cosh\left(a + \sqrt{-\frac{b^{2} c}{d}}\right) - {\left(\sqrt{-\frac{b^{2} c}{d}} {\rm Ei}\left(b x + \sqrt{-\frac{b^{2} c}{d}}\right) + \sqrt{-\frac{b^{2} c}{d}} {\rm Ei}\left(-b x - \sqrt{-\frac{b^{2} c}{d}}\right)\right)} \cosh\left(-a + \sqrt{-\frac{b^{2} c}{d}}\right) + {\left(\sqrt{-\frac{b^{2} c}{d}} {\rm Ei}\left(b x - \sqrt{-\frac{b^{2} c}{d}}\right) - \sqrt{-\frac{b^{2} c}{d}} {\rm Ei}\left(-b x + \sqrt{-\frac{b^{2} c}{d}}\right)\right)} \sinh\left(a + \sqrt{-\frac{b^{2} c}{d}}\right) + {\left(\sqrt{-\frac{b^{2} c}{d}} {\rm Ei}\left(b x + \sqrt{-\frac{b^{2} c}{d}}\right) - \sqrt{-\frac{b^{2} c}{d}} {\rm Ei}\left(-b x - \sqrt{-\frac{b^{2} c}{d}}\right)\right)} \sinh\left(-a + \sqrt{-\frac{b^{2} c}{d}}\right)}{4 \, b c}"," ",0,"-1/4*((sqrt(-b^2*c/d)*Ei(b*x - sqrt(-b^2*c/d)) + sqrt(-b^2*c/d)*Ei(-b*x + sqrt(-b^2*c/d)))*cosh(a + sqrt(-b^2*c/d)) - (sqrt(-b^2*c/d)*Ei(b*x + sqrt(-b^2*c/d)) + sqrt(-b^2*c/d)*Ei(-b*x - sqrt(-b^2*c/d)))*cosh(-a + sqrt(-b^2*c/d)) + (sqrt(-b^2*c/d)*Ei(b*x - sqrt(-b^2*c/d)) - sqrt(-b^2*c/d)*Ei(-b*x + sqrt(-b^2*c/d)))*sinh(a + sqrt(-b^2*c/d)) + (sqrt(-b^2*c/d)*Ei(b*x + sqrt(-b^2*c/d)) - sqrt(-b^2*c/d)*Ei(-b*x - sqrt(-b^2*c/d)))*sinh(-a + sqrt(-b^2*c/d)))/(b*c)","B",0
336,1,671,0,0.532657," ","integrate(cosh(b*x+a)/(e*x^2+d*x+c),x, algorithm=""fricas"")","-\frac{{\left(e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}} {\rm Ei}\left(\frac{2 \, b e x + b d + e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}}}{2 \, e}\right) + e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}} {\rm Ei}\left(-\frac{2 \, b e x + b d + e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}}}{2 \, e}\right)\right)} \cosh\left(\frac{b d - 2 \, a e + e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}}}{2 \, e}\right) - {\left(e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}} {\rm Ei}\left(\frac{2 \, b e x + b d - e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}}}{2 \, e}\right) + e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}} {\rm Ei}\left(-\frac{2 \, b e x + b d - e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}}}{2 \, e}\right)\right)} \cosh\left(-\frac{b d - 2 \, a e - e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}}}{2 \, e}\right) - {\left(e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}} {\rm Ei}\left(\frac{2 \, b e x + b d + e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}}}{2 \, e}\right) - e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}} {\rm Ei}\left(-\frac{2 \, b e x + b d + e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}}}{2 \, e}\right)\right)} \sinh\left(\frac{b d - 2 \, a e + e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}}}{2 \, e}\right) - {\left(e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}} {\rm Ei}\left(\frac{2 \, b e x + b d - e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}}}{2 \, e}\right) - e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}} {\rm Ei}\left(-\frac{2 \, b e x + b d - e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}}}{2 \, e}\right)\right)} \sinh\left(-\frac{b d - 2 \, a e - e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}}}{2 \, e}\right)}{2 \, {\left(b d^{2} - 4 \, b c e\right)}}"," ",0,"-1/2*((e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2)*Ei(1/2*(2*b*e*x + b*d + e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2))/e) + e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2)*Ei(-1/2*(2*b*e*x + b*d + e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2))/e))*cosh(1/2*(b*d - 2*a*e + e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2))/e) - (e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2)*Ei(1/2*(2*b*e*x + b*d - e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2))/e) + e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2)*Ei(-1/2*(2*b*e*x + b*d - e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2))/e))*cosh(-1/2*(b*d - 2*a*e - e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2))/e) - (e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2)*Ei(1/2*(2*b*e*x + b*d + e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2))/e) - e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2)*Ei(-1/2*(2*b*e*x + b*d + e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2))/e))*sinh(1/2*(b*d - 2*a*e + e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2))/e) - (e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2)*Ei(1/2*(2*b*e*x + b*d - e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2))/e) - e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2)*Ei(-1/2*(2*b*e*x + b*d - e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2))/e))*sinh(-1/2*(b*d - 2*a*e - e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2))/e))/(b*d^2 - 4*b*c*e)","B",0
