1,1,19,0,0.273248," ","integrate(2/(-1+3*cosh(4+6*x)),x)","\frac{\sqrt{2} \operatorname{atan}{\left(\sqrt{2} \tanh{\left(3 x + 2 \right)} \right)}}{6}"," ",0,"sqrt(2)*atan(sqrt(2)*tanh(3*x + 2))/6","A",0
2,1,185,0,7.886717," ","integrate(1/(cosh(2+3*x)**2+2*sinh(2+3*x)**2),x)","\frac{2093258 \sqrt{5 - 2 \sqrt{6}} \operatorname{atan}{\left(\frac{\tanh{\left(\frac{3 x}{2} + 1 \right)}}{\sqrt{5 - 2 \sqrt{6}}} \right)}}{1152360 \sqrt{6} + 2822694} + \frac{854569 \sqrt{6} \sqrt{5 - 2 \sqrt{6}} \operatorname{atan}{\left(\frac{\tanh{\left(\frac{3 x}{2} + 1 \right)}}{\sqrt{5 - 2 \sqrt{6}}} \right)}}{1152360 \sqrt{6} + 2822694} - \frac{86329 \sqrt{6} \sqrt{2 \sqrt{6} + 5} \operatorname{atan}{\left(\frac{\tanh{\left(\frac{3 x}{2} + 1 \right)}}{\sqrt{2 \sqrt{6} + 5}} \right)}}{1152360 \sqrt{6} + 2822694} - \frac{211462 \sqrt{2 \sqrt{6} + 5} \operatorname{atan}{\left(\frac{\tanh{\left(\frac{3 x}{2} + 1 \right)}}{\sqrt{2 \sqrt{6} + 5}} \right)}}{1152360 \sqrt{6} + 2822694}"," ",0,"2093258*sqrt(5 - 2*sqrt(6))*atan(tanh(3*x/2 + 1)/sqrt(5 - 2*sqrt(6)))/(1152360*sqrt(6) + 2822694) + 854569*sqrt(6)*sqrt(5 - 2*sqrt(6))*atan(tanh(3*x/2 + 1)/sqrt(5 - 2*sqrt(6)))/(1152360*sqrt(6) + 2822694) - 86329*sqrt(6)*sqrt(2*sqrt(6) + 5)*atan(tanh(3*x/2 + 1)/sqrt(2*sqrt(6) + 5))/(1152360*sqrt(6) + 2822694) - 211462*sqrt(2*sqrt(6) + 5)*atan(tanh(3*x/2 + 1)/sqrt(2*sqrt(6) + 5))/(1152360*sqrt(6) + 2822694)","B",0
3,0,0,0,0.000000," ","integrate(sech(2+3*x)**2/(1+2*tanh(2+3*x)**2),x)","\int \frac{\operatorname{sech}^{2}{\left(3 x + 2 \right)}}{2 \tanh^{2}{\left(3 x + 2 \right)} + 1}\, dx"," ",0,"Integral(sech(3*x + 2)**2/(2*tanh(3*x + 2)**2 + 1), x)","F",0
4,0,0,0,0.000000," ","integrate(csch(2+3*x)**2/(2+coth(2+3*x)**2),x)","\int \frac{\operatorname{csch}^{2}{\left(3 x + 2 \right)}}{\coth^{2}{\left(3 x + 2 \right)} + 2}\, dx"," ",0,"Integral(csch(3*x + 2)**2/(coth(3*x + 2)**2 + 2), x)","F",0
5,0,0,0,0.000000," ","integrate(csch(2+3*x)**2/(2-coth(2+3*x)**2),x)","- \int \frac{\operatorname{csch}^{2}{\left(3 x + 2 \right)}}{\coth^{2}{\left(3 x + 2 \right)} - 2}\, dx"," ",0,"-Integral(csch(3*x + 2)**2/(coth(3*x + 2)**2 - 2), x)","F",0
6,0,0,0,0.000000," ","integrate(csch(2+3*x)**2/(1+2*coth(2+3*x)**2),x)","\int \frac{\operatorname{csch}^{2}{\left(3 x + 2 \right)}}{2 \coth^{2}{\left(3 x + 2 \right)} + 1}\, dx"," ",0,"Integral(csch(3*x + 2)**2/(2*coth(3*x + 2)**2 + 1), x)","F",0
7,0,0,0,0.000000," ","integrate(csch(2+3*x)**2/(1-2*coth(2+3*x)**2),x)","- \int \frac{\operatorname{csch}^{2}{\left(3 x + 2 \right)}}{2 \coth^{2}{\left(3 x + 2 \right)} - 1}\, dx"," ",0,"-Integral(csch(3*x + 2)**2/(2*coth(3*x + 2)**2 - 1), x)","F",0
8,1,19,0,0.183161," ","integrate(cosh(b*x+a)*sinh(b*x+a),x)","\begin{cases} \frac{\sinh^{2}{\left(a + b x \right)}}{2 b} & \text{for}\: b \neq 0 \\x \sinh{\left(a \right)} \cosh{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((sinh(a + b*x)**2/(2*b), Ne(b, 0)), (x*sinh(a)*cosh(a), True))","A",0
9,1,49,0,1.247851," ","integrate(cosh(b*x+a)*sinh(b*x+a)**n,x)","\begin{cases} \frac{x \cosh{\left(a \right)}}{\sinh{\left(a \right)}} & \text{for}\: b = 0 \wedge n = -1 \\x \sinh^{n}{\left(a \right)} \cosh{\left(a \right)} & \text{for}\: b = 0 \\\frac{\log{\left(\sinh{\left(a + b x \right)} \right)}}{b} & \text{for}\: n = -1 \\\frac{\sinh{\left(a + b x \right)} \sinh^{n}{\left(a + b x \right)}}{b n + b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*cosh(a)/sinh(a), Eq(b, 0) & Eq(n, -1)), (x*sinh(a)**n*cosh(a), Eq(b, 0)), (log(sinh(a + b*x))/b, Eq(n, -1)), (sinh(a + b*x)*sinh(a + b*x)**n/(b*n + b), True))","A",0
10,1,638,0,8.421940," ","integrate(cosh(b*x+a)**3*sinh(b*x+a)**n,x)","\begin{cases} x \sinh^{n}{\left(a \right)} \cosh^{3}{\left(a \right)} & \text{for}\: b = 0 \\\frac{\log{\left(\sinh{\left(a + b x \right)} \right)}}{b} - \frac{\cosh^{2}{\left(a + b x \right)}}{2 b \sinh^{2}{\left(a + b x \right)}} & \text{for}\: n = -3 \\\frac{b x \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 2 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} - \frac{2 b x \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 2 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} + \frac{b x}{b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 2 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} - \frac{2 \log{\left(\tanh{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 1 \right)} \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 2 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} + \frac{4 \log{\left(\tanh{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 1 \right)} \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 2 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} - \frac{2 \log{\left(\tanh{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 1 \right)}}{b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 2 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} + \frac{\log{\left(\tanh{\left(\frac{a}{2} + \frac{b x}{2} \right)} \right)} \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 2 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} - \frac{2 \log{\left(\tanh{\left(\frac{a}{2} + \frac{b x}{2} \right)} \right)} \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 2 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} + \frac{\log{\left(\tanh{\left(\frac{a}{2} + \frac{b x}{2} \right)} \right)}}{b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 2 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} + \frac{2 \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 2 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} & \text{for}\: n = -1 \\\frac{n \sinh{\left(a + b x \right)} \sinh^{n}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{b n^{2} + 4 b n + 3 b} - \frac{2 \sinh^{3}{\left(a + b x \right)} \sinh^{n}{\left(a + b x \right)}}{b n^{2} + 4 b n + 3 b} + \frac{3 \sinh{\left(a + b x \right)} \sinh^{n}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{b n^{2} + 4 b n + 3 b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*sinh(a)**n*cosh(a)**3, Eq(b, 0)), (log(sinh(a + b*x))/b - cosh(a + b*x)**2/(2*b*sinh(a + b*x)**2), Eq(n, -3)), (b*x*tanh(a/2 + b*x/2)**4/(b*tanh(a/2 + b*x/2)**4 - 2*b*tanh(a/2 + b*x/2)**2 + b) - 2*b*x*tanh(a/2 + b*x/2)**2/(b*tanh(a/2 + b*x/2)**4 - 2*b*tanh(a/2 + b*x/2)**2 + b) + b*x/(b*tanh(a/2 + b*x/2)**4 - 2*b*tanh(a/2 + b*x/2)**2 + b) - 2*log(tanh(a/2 + b*x/2) + 1)*tanh(a/2 + b*x/2)**4/(b*tanh(a/2 + b*x/2)**4 - 2*b*tanh(a/2 + b*x/2)**2 + b) + 4*log(tanh(a/2 + b*x/2) + 1)*tanh(a/2 + b*x/2)**2/(b*tanh(a/2 + b*x/2)**4 - 2*b*tanh(a/2 + b*x/2)**2 + b) - 2*log(tanh(a/2 + b*x/2) + 1)/(b*tanh(a/2 + b*x/2)**4 - 2*b*tanh(a/2 + b*x/2)**2 + b) + log(tanh(a/2 + b*x/2))*tanh(a/2 + b*x/2)**4/(b*tanh(a/2 + b*x/2)**4 - 2*b*tanh(a/2 + b*x/2)**2 + b) - 2*log(tanh(a/2 + b*x/2))*tanh(a/2 + b*x/2)**2/(b*tanh(a/2 + b*x/2)**4 - 2*b*tanh(a/2 + b*x/2)**2 + b) + log(tanh(a/2 + b*x/2))/(b*tanh(a/2 + b*x/2)**4 - 2*b*tanh(a/2 + b*x/2)**2 + b) + 2*tanh(a/2 + b*x/2)**2/(b*tanh(a/2 + b*x/2)**4 - 2*b*tanh(a/2 + b*x/2)**2 + b), Eq(n, -1)), (n*sinh(a + b*x)*sinh(a + b*x)**n*cosh(a + b*x)**2/(b*n**2 + 4*b*n + 3*b) - 2*sinh(a + b*x)**3*sinh(a + b*x)**n/(b*n**2 + 4*b*n + 3*b) + 3*sinh(a + b*x)*sinh(a + b*x)**n*cosh(a + b*x)**2/(b*n**2 + 4*b*n + 3*b), True))","A",0
11,1,2574,0,42.556270," ","integrate(cosh(b*x+a)**5*sinh(b*x+a)**n,x)","\begin{cases} x \sinh^{n}{\left(a \right)} \cosh^{5}{\left(a \right)} & \text{for}\: b = 0 \\\frac{\log{\left(\sinh{\left(a + b x \right)} \right)}}{b} - \frac{\cosh^{2}{\left(a + b x \right)}}{2 b \sinh^{2}{\left(a + b x \right)}} - \frac{\cosh^{4}{\left(a + b x \right)}}{4 b \sinh^{4}{\left(a + b x \right)}} & \text{for}\: n = -5 \\\frac{16 b x \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{8 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 16 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 8 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)}} - \frac{32 b x \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{8 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 16 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 8 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)}} + \frac{16 b x \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{8 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 16 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 8 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)}} - \frac{32 \log{\left(\tanh{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 1 \right)} \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{8 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 16 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 8 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)}} + \frac{64 \log{\left(\tanh{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 1 \right)} \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{8 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 16 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 8 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)}} - \frac{32 \log{\left(\tanh{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 1 \right)} \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{8 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 16 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 8 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)}} + \frac{16 \log{\left(\tanh{\left(\frac{a}{2} + \frac{b x}{2} \right)} \right)} \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{8 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 16 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 8 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)}} - \frac{32 \log{\left(\tanh{\left(\frac{a}{2} + \frac{b x}{2} \right)} \right)} \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{8 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 16 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 8 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)}} + \frac{16 \log{\left(\tanh{\left(\frac{a}{2} + \frac{b x}{2} \right)} \right)} \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{8 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 16 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 8 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)}} - \frac{\tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{8 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 16 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 8 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)}} + \frac{18 \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{8 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 16 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 8 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)}} - \frac{1}{8 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 16 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 8 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)}} & \text{for}\: n = -3 \\\frac{b x \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 6 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} - \frac{4 b x \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 6 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} + \frac{6 b x \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 6 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} - \frac{4 b x \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 6 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} + \frac{b x}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 6 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} - \frac{2 \log{\left(\tanh{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 1 \right)} \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 6 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} + \frac{8 \log{\left(\tanh{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 1 \right)} \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 6 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} - \frac{12 \log{\left(\tanh{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 1 \right)} \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 6 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} + \frac{8 \log{\left(\tanh{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 1 \right)} \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 6 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} - \frac{2 \log{\left(\tanh{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 1 \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 6 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} + \frac{\log{\left(\tanh{\left(\frac{a}{2} + \frac{b x}{2} \right)} \right)} \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 6 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} - \frac{4 \log{\left(\tanh{\left(\frac{a}{2} + \frac{b x}{2} \right)} \right)} \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 6 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} + \frac{6 \log{\left(\tanh{\left(\frac{a}{2} + \frac{b x}{2} \right)} \right)} \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 6 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} - \frac{4 \log{\left(\tanh{\left(\frac{a}{2} + \frac{b x}{2} \right)} \right)} \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 6 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} + \frac{\log{\left(\tanh{\left(\frac{a}{2} + \frac{b x}{2} \right)} \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 6 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} + \frac{4 \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 6 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} - \frac{4 \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 6 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} + \frac{4 \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 6 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} & \text{for}\: n = -1 \\\frac{n^{2} \sinh{\left(a + b x \right)} \sinh^{n}{\left(a + b x \right)} \cosh^{4}{\left(a + b x \right)}}{b n^{3} + 9 b n^{2} + 23 b n + 15 b} - \frac{4 n \sinh^{3}{\left(a + b x \right)} \sinh^{n}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{b n^{3} + 9 b n^{2} + 23 b n + 15 b} + \frac{8 n \sinh{\left(a + b x \right)} \sinh^{n}{\left(a + b x \right)} \cosh^{4}{\left(a + b x \right)}}{b n^{3} + 9 b n^{2} + 23 b n + 15 b} + \frac{8 \sinh^{5}{\left(a + b x \right)} \sinh^{n}{\left(a + b x \right)}}{b n^{3} + 9 b n^{2} + 23 b n + 15 b} - \frac{20 \sinh^{3}{\left(a + b x \right)} \sinh^{n}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{b n^{3} + 9 b n^{2} + 23 b n + 15 b} + \frac{15 \sinh{\left(a + b x \right)} \sinh^{n}{\left(a + b x \right)} \cosh^{4}{\left(a + b x \right)}}{b n^{3} + 9 b n^{2} + 23 b n + 15 b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*sinh(a)**n*cosh(a)**5, Eq(b, 0)), (log(sinh(a + b*x))/b - cosh(a + b*x)**2/(2*b*sinh(a + b*x)**2) - cosh(a + b*x)**4/(4*b*sinh(a + b*x)**4), Eq(n, -5)), (16*b*x*tanh(a/2 + b*x/2)**6/(8*b*tanh(a/2 + b*x/2)**6 - 16*b*tanh(a/2 + b*x/2)**4 + 8*b*tanh(a/2 + b*x/2)**2) - 32*b*x*tanh(a/2 + b*x/2)**4/(8*b*tanh(a/2 + b*x/2)**6 - 16*b*tanh(a/2 + b*x/2)**4 + 8*b*tanh(a/2 + b*x/2)**2) + 16*b*x*tanh(a/2 + b*x/2)**2/(8*b*tanh(a/2 + b*x/2)**6 - 16*b*tanh(a/2 + b*x/2)**4 + 8*b*tanh(a/2 + b*x/2)**2) - 32*log(tanh(a/2 + b*x/2) + 1)*tanh(a/2 + b*x/2)**6/(8*b*tanh(a/2 + b*x/2)**6 - 16*b*tanh(a/2 + b*x/2)**4 + 8*b*tanh(a/2 + b*x/2)**2) + 64*log(tanh(a/2 + b*x/2) + 1)*tanh(a/2 + b*x/2)**4/(8*b*tanh(a/2 + b*x/2)**6 - 16*b*tanh(a/2 + b*x/2)**4 + 8*b*tanh(a/2 + b*x/2)**2) - 32*log(tanh(a/2 + b*x/2) + 1)*tanh(a/2 + b*x/2)**2/(8*b*tanh(a/2 + b*x/2)**6 - 16*b*tanh(a/2 + b*x/2)**4 + 8*b*tanh(a/2 + b*x/2)**2) + 16*log(tanh(a/2 + b*x/2))*tanh(a/2 + b*x/2)**6/(8*b*tanh(a/2 + b*x/2)**6 - 16*b*tanh(a/2 + b*x/2)**4 + 8*b*tanh(a/2 + b*x/2)**2) - 32*log(tanh(a/2 + b*x/2))*tanh(a/2 + b*x/2)**4/(8*b*tanh(a/2 + b*x/2)**6 - 16*b*tanh(a/2 + b*x/2)**4 + 8*b*tanh(a/2 + b*x/2)**2) + 16*log(tanh(a/2 + b*x/2))*tanh(a/2 + b*x/2)**2/(8*b*tanh(a/2 + b*x/2)**6 - 16*b*tanh(a/2 + b*x/2)**4 + 8*b*tanh(a/2 + b*x/2)**2) - tanh(a/2 + b*x/2)**8/(8*b*tanh(a/2 + b*x/2)**6 - 16*b*tanh(a/2 + b*x/2)**4 + 8*b*tanh(a/2 + b*x/2)**2) + 18*tanh(a/2 + b*x/2)**4/(8*b*tanh(a/2 + b*x/2)**6 - 16*b*tanh(a/2 + b*x/2)**4 + 8*b*tanh(a/2 + b*x/2)**2) - 1/(8*b*tanh(a/2 + b*x/2)**6 - 16*b*tanh(a/2 + b*x/2)**4 + 8*b*tanh(a/2 + b*x/2)**2), Eq(n, -3)), (b*x*tanh(a/2 + b*x/2)**8/(b*tanh(a/2 + b*x/2)**8 - 4*b*tanh(a/2 + b*x/2)**6 + 6*b*tanh(a/2 + b*x/2)**4 - 4*b*tanh(a/2 + b*x/2)**2 + b) - 4*b*x*tanh(a/2 + b*x/2)**6/(b*tanh(a/2 + b*x/2)**8 - 4*b*tanh(a/2 + b*x/2)**6 + 6*b*tanh(a/2 + b*x/2)**4 - 4*b*tanh(a/2 + b*x/2)**2 + b) + 6*b*x*tanh(a/2 + b*x/2)**4/(b*tanh(a/2 + b*x/2)**8 - 4*b*tanh(a/2 + b*x/2)**6 + 6*b*tanh(a/2 + b*x/2)**4 - 4*b*tanh(a/2 + b*x/2)**2 + b) - 4*b*x*tanh(a/2 + b*x/2)**2/(b*tanh(a/2 + b*x/2)**8 - 4*b*tanh(a/2 + b*x/2)**6 + 6*b*tanh(a/2 + b*x/2)**4 - 4*b*tanh(a/2 + b*x/2)**2 + b) + b*x/(b*tanh(a/2 + b*x/2)**8 - 4*b*tanh(a/2 + b*x/2)**6 + 6*b*tanh(a/2 + b*x/2)**4 - 4*b*tanh(a/2 + b*x/2)**2 + b) - 2*log(tanh(a/2 + b*x/2) + 1)*tanh(a/2 + b*x/2)**8/(b*tanh(a/2 + b*x/2)**8 - 4*b*tanh(a/2 + b*x/2)**6 + 6*b*tanh(a/2 + b*x/2)**4 - 4*b*tanh(a/2 + b*x/2)**2 + b) + 8*log(tanh(a/2 + b*x/2) + 1)*tanh(a/2 + b*x/2)**6/(b*tanh(a/2 + b*x/2)**8 - 4*b*tanh(a/2 + b*x/2)**6 + 6*b*tanh(a/2 + b*x/2)**4 - 4*b*tanh(a/2 + b*x/2)**2 + b) - 12*log(tanh(a/2 + b*x/2) + 1)*tanh(a/2 + b*x/2)**4/(b*tanh(a/2 + b*x/2)**8 - 4*b*tanh(a/2 + b*x/2)**6 + 6*b*tanh(a/2 + b*x/2)**4 - 4*b*tanh(a/2 + b*x/2)**2 + b) + 8*log(tanh(a/2 + b*x/2) + 1)*tanh(a/2 + b*x/2)**2/(b*tanh(a/2 + b*x/2)**8 - 4*b*tanh(a/2 + b*x/2)**6 + 6*b*tanh(a/2 + b*x/2)**4 - 4*b*tanh(a/2 + b*x/2)**2 + b) - 2*log(tanh(a/2 + b*x/2) + 1)/(b*tanh(a/2 + b*x/2)**8 - 4*b*tanh(a/2 + b*x/2)**6 + 6*b*tanh(a/2 + b*x/2)**4 - 4*b*tanh(a/2 + b*x/2)**2 + b) + log(tanh(a/2 + b*x/2))*tanh(a/2 + b*x/2)**8/(b*tanh(a/2 + b*x/2)**8 - 4*b*tanh(a/2 + b*x/2)**6 + 6*b*tanh(a/2 + b*x/2)**4 - 4*b*tanh(a/2 + b*x/2)**2 + b) - 4*log(tanh(a/2 + b*x/2))*tanh(a/2 + b*x/2)**6/(b*tanh(a/2 + b*x/2)**8 - 4*b*tanh(a/2 + b*x/2)**6 + 6*b*tanh(a/2 + b*x/2)**4 - 4*b*tanh(a/2 + b*x/2)**2 + b) + 6*log(tanh(a/2 + b*x/2))*tanh(a/2 + b*x/2)**4/(b*tanh(a/2 + b*x/2)**8 - 4*b*tanh(a/2 + b*x/2)**6 + 6*b*tanh(a/2 + b*x/2)**4 - 4*b*tanh(a/2 + b*x/2)**2 + b) - 4*log(tanh(a/2 + b*x/2))*tanh(a/2 + b*x/2)**2/(b*tanh(a/2 + b*x/2)**8 - 4*b*tanh(a/2 + b*x/2)**6 + 6*b*tanh(a/2 + b*x/2)**4 - 4*b*tanh(a/2 + b*x/2)**2 + b) + log(tanh(a/2 + b*x/2))/(b*tanh(a/2 + b*x/2)**8 - 4*b*tanh(a/2 + b*x/2)**6 + 6*b*tanh(a/2 + b*x/2)**4 - 4*b*tanh(a/2 + b*x/2)**2 + b) + 4*tanh(a/2 + b*x/2)**6/(b*tanh(a/2 + b*x/2)**8 - 4*b*tanh(a/2 + b*x/2)**6 + 6*b*tanh(a/2 + b*x/2)**4 - 4*b*tanh(a/2 + b*x/2)**2 + b) - 4*tanh(a/2 + b*x/2)**4/(b*tanh(a/2 + b*x/2)**8 - 4*b*tanh(a/2 + b*x/2)**6 + 6*b*tanh(a/2 + b*x/2)**4 - 4*b*tanh(a/2 + b*x/2)**2 + b) + 4*tanh(a/2 + b*x/2)**2/(b*tanh(a/2 + b*x/2)**8 - 4*b*tanh(a/2 + b*x/2)**6 + 6*b*tanh(a/2 + b*x/2)**4 - 4*b*tanh(a/2 + b*x/2)**2 + b), Eq(n, -1)), (n**2*sinh(a + b*x)*sinh(a + b*x)**n*cosh(a + b*x)**4/(b*n**3 + 9*b*n**2 + 23*b*n + 15*b) - 4*n*sinh(a + b*x)**3*sinh(a + b*x)**n*cosh(a + b*x)**2/(b*n**3 + 9*b*n**2 + 23*b*n + 15*b) + 8*n*sinh(a + b*x)*sinh(a + b*x)**n*cosh(a + b*x)**4/(b*n**3 + 9*b*n**2 + 23*b*n + 15*b) + 8*sinh(a + b*x)**5*sinh(a + b*x)**n/(b*n**3 + 9*b*n**2 + 23*b*n + 15*b) - 20*sinh(a + b*x)**3*sinh(a + b*x)**n*cosh(a + b*x)**2/(b*n**3 + 9*b*n**2 + 23*b*n + 15*b) + 15*sinh(a + b*x)*sinh(a + b*x)**n*cosh(a + b*x)**4/(b*n**3 + 9*b*n**2 + 23*b*n + 15*b), True))","A",0
12,1,49,0,1.257172," ","integrate(cosh(b*x+a)**m*sinh(b*x+a),x)","\begin{cases} \frac{x \sinh{\left(a \right)}}{\cosh{\left(a \right)}} & \text{for}\: b = 0 \wedge m = -1 \\x \sinh{\left(a \right)} \cosh^{m}{\left(a \right)} & \text{for}\: b = 0 \\\frac{\log{\left(\cosh{\left(a + b x \right)} \right)}}{b} & \text{for}\: m = -1 \\\frac{\cosh{\left(a + b x \right)} \cosh^{m}{\left(a + b x \right)}}{b m + b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*sinh(a)/cosh(a), Eq(b, 0) & Eq(m, -1)), (x*sinh(a)*cosh(a)**m, Eq(b, 0)), (log(cosh(a + b*x))/b, Eq(m, -1)), (cosh(a + b*x)*cosh(a + b*x)**m/(b*m + b), True))","A",0
13,1,648,0,8.551342," ","integrate(cosh(b*x+a)**m*sinh(b*x+a)**3,x)","\begin{cases} x \sinh^{3}{\left(a \right)} \cosh^{m}{\left(a \right)} & \text{for}\: b = 0 \\\frac{\log{\left(\cosh{\left(a + b x \right)} \right)}}{b} - \frac{\sinh^{2}{\left(a + b x \right)}}{2 b \cosh^{2}{\left(a + b x \right)}} & \text{for}\: m = -3 \\- \frac{b x \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 2 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} + \frac{2 b x \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 2 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} - \frac{b x}{b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 2 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} + \frac{2 \log{\left(\tanh{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 1 \right)} \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 2 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} - \frac{4 \log{\left(\tanh{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 1 \right)} \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 2 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} + \frac{2 \log{\left(\tanh{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 1 \right)}}{b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 2 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} - \frac{\log{\left(\tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 1 \right)} \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 2 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} + \frac{2 \log{\left(\tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 1 \right)} \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 2 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} - \frac{\log{\left(\tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 1 \right)}}{b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 2 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} + \frac{2 \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 2 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} & \text{for}\: m = -1 \\\frac{m \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)} \cosh^{m}{\left(a + b x \right)}}{b m^{2} + 4 b m + 3 b} + \frac{3 \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)} \cosh^{m}{\left(a + b x \right)}}{b m^{2} + 4 b m + 3 b} - \frac{2 \cosh^{3}{\left(a + b x \right)} \cosh^{m}{\left(a + b x \right)}}{b m^{2} + 4 b m + 3 b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*sinh(a)**3*cosh(a)**m, Eq(b, 0)), (log(cosh(a + b*x))/b - sinh(a + b*x)**2/(2*b*cosh(a + b*x)**2), Eq(m, -3)), (-b*x*tanh(a/2 + b*x/2)**4/(b*tanh(a/2 + b*x/2)**4 - 2*b*tanh(a/2 + b*x/2)**2 + b) + 2*b*x*tanh(a/2 + b*x/2)**2/(b*tanh(a/2 + b*x/2)**4 - 2*b*tanh(a/2 + b*x/2)**2 + b) - b*x/(b*tanh(a/2 + b*x/2)**4 - 2*b*tanh(a/2 + b*x/2)**2 + b) + 2*log(tanh(a/2 + b*x/2) + 1)*tanh(a/2 + b*x/2)**4/(b*tanh(a/2 + b*x/2)**4 - 2*b*tanh(a/2 + b*x/2)**2 + b) - 4*log(tanh(a/2 + b*x/2) + 1)*tanh(a/2 + b*x/2)**2/(b*tanh(a/2 + b*x/2)**4 - 2*b*tanh(a/2 + b*x/2)**2 + b) + 2*log(tanh(a/2 + b*x/2) + 1)/(b*tanh(a/2 + b*x/2)**4 - 2*b*tanh(a/2 + b*x/2)**2 + b) - log(tanh(a/2 + b*x/2)**2 + 1)*tanh(a/2 + b*x/2)**4/(b*tanh(a/2 + b*x/2)**4 - 2*b*tanh(a/2 + b*x/2)**2 + b) + 2*log(tanh(a/2 + b*x/2)**2 + 1)*tanh(a/2 + b*x/2)**2/(b*tanh(a/2 + b*x/2)**4 - 2*b*tanh(a/2 + b*x/2)**2 + b) - log(tanh(a/2 + b*x/2)**2 + 1)/(b*tanh(a/2 + b*x/2)**4 - 2*b*tanh(a/2 + b*x/2)**2 + b) + 2*tanh(a/2 + b*x/2)**2/(b*tanh(a/2 + b*x/2)**4 - 2*b*tanh(a/2 + b*x/2)**2 + b), Eq(m, -1)), (m*sinh(a + b*x)**2*cosh(a + b*x)*cosh(a + b*x)**m/(b*m**2 + 4*b*m + 3*b) + 3*sinh(a + b*x)**2*cosh(a + b*x)*cosh(a + b*x)**m/(b*m**2 + 4*b*m + 3*b) - 2*cosh(a + b*x)**3*cosh(a + b*x)**m/(b*m**2 + 4*b*m + 3*b), True))","A",0
14,1,2351,0,42.813901," ","integrate(cosh(b*x+a)**m*sinh(b*x+a)**5,x)","\begin{cases} x \sinh^{5}{\left(a \right)} \cosh^{m}{\left(a \right)} & \text{for}\: b = 0 \\\frac{\log{\left(\cosh{\left(a + b x \right)} \right)}}{b} - \frac{\sinh^{4}{\left(a + b x \right)}}{4 b \cosh^{4}{\left(a + b x \right)}} - \frac{\sinh^{2}{\left(a + b x \right)}}{2 b \cosh^{2}{\left(a + b x \right)}} & \text{for}\: m = -5 \\- \frac{2 b x \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 2 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} + \frac{4 b x \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 2 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} - \frac{2 b x}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 2 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} + \frac{4 \log{\left(\tanh{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 1 \right)} \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 2 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} - \frac{8 \log{\left(\tanh{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 1 \right)} \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 2 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} + \frac{4 \log{\left(\tanh{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 1 \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 2 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} - \frac{2 \log{\left(\tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 1 \right)} \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 2 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} + \frac{4 \log{\left(\tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 1 \right)} \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 2 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} - \frac{2 \log{\left(\tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 1 \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 2 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} + \frac{4 \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 2 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} + \frac{4 \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 2 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} & \text{for}\: m = -3 \\\frac{b x \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 6 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} - \frac{4 b x \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 6 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} + \frac{6 b x \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 6 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} - \frac{4 b x \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 6 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} + \frac{b x}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 6 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} - \frac{2 \log{\left(\tanh{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 1 \right)} \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 6 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} + \frac{8 \log{\left(\tanh{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 1 \right)} \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 6 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} - \frac{12 \log{\left(\tanh{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 1 \right)} \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 6 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} + \frac{8 \log{\left(\tanh{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 1 \right)} \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 6 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} - \frac{2 \log{\left(\tanh{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 1 \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 6 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} + \frac{\log{\left(\tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 1 \right)} \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 6 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} - \frac{4 \log{\left(\tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 1 \right)} \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 6 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} + \frac{6 \log{\left(\tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 1 \right)} \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 6 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} - \frac{4 \log{\left(\tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 1 \right)} \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 6 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} + \frac{\log{\left(\tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 1 \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 6 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} - \frac{2 \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 6 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} + \frac{8 \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 6 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} - \frac{2 \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)}}{b \tanh^{8}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{6}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + 6 b \tanh^{4}{\left(\frac{a}{2} + \frac{b x}{2} \right)} - 4 b \tanh^{2}{\left(\frac{a}{2} + \frac{b x}{2} \right)} + b} & \text{for}\: m = -1 \\\frac{m^{2} \sinh^{4}{\left(a + b x \right)} \cosh{\left(a + b x \right)} \cosh^{m}{\left(a + b x \right)}}{b m^{3} + 9 b m^{2} + 23 b m + 15 b} + \frac{8 m \sinh^{4}{\left(a + b x \right)} \cosh{\left(a + b x \right)} \cosh^{m}{\left(a + b x \right)}}{b m^{3} + 9 b m^{2} + 23 b m + 15 b} - \frac{4 m \sinh^{2}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)} \cosh^{m}{\left(a + b x \right)}}{b m^{3} + 9 b m^{2} + 23 b m + 15 b} + \frac{15 \sinh^{4}{\left(a + b x \right)} \cosh{\left(a + b x \right)} \cosh^{m}{\left(a + b x \right)}}{b m^{3} + 9 b m^{2} + 23 b m + 15 b} - \frac{20 \sinh^{2}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)} \cosh^{m}{\left(a + b x \right)}}{b m^{3} + 9 b m^{2} + 23 b m + 15 b} + \frac{8 \cosh^{5}{\left(a + b x \right)} \cosh^{m}{\left(a + b x \right)}}{b m^{3} + 9 b m^{2} + 23 b m + 15 b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*sinh(a)**5*cosh(a)**m, Eq(b, 0)), (log(cosh(a + b*x))/b - sinh(a + b*x)**4/(4*b*cosh(a + b*x)**4) - sinh(a + b*x)**2/(2*b*cosh(a + b*x)**2), Eq(m, -5)), (-2*b*x*tanh(a/2 + b*x/2)**8/(b*tanh(a/2 + b*x/2)**8 - 2*b*tanh(a/2 + b*x/2)**4 + b) + 4*b*x*tanh(a/2 + b*x/2)**4/(b*tanh(a/2 + b*x/2)**8 - 2*b*tanh(a/2 + b*x/2)**4 + b) - 2*b*x/(b*tanh(a/2 + b*x/2)**8 - 2*b*tanh(a/2 + b*x/2)**4 + b) + 4*log(tanh(a/2 + b*x/2) + 1)*tanh(a/2 + b*x/2)**8/(b*tanh(a/2 + b*x/2)**8 - 2*b*tanh(a/2 + b*x/2)**4 + b) - 8*log(tanh(a/2 + b*x/2) + 1)*tanh(a/2 + b*x/2)**4/(b*tanh(a/2 + b*x/2)**8 - 2*b*tanh(a/2 + b*x/2)**4 + b) + 4*log(tanh(a/2 + b*x/2) + 1)/(b*tanh(a/2 + b*x/2)**8 - 2*b*tanh(a/2 + b*x/2)**4 + b) - 2*log(tanh(a/2 + b*x/2)**2 + 1)*tanh(a/2 + b*x/2)**8/(b*tanh(a/2 + b*x/2)**8 - 2*b*tanh(a/2 + b*x/2)**4 + b) + 4*log(tanh(a/2 + b*x/2)**2 + 1)*tanh(a/2 + b*x/2)**4/(b*tanh(a/2 + b*x/2)**8 - 2*b*tanh(a/2 + b*x/2)**4 + b) - 2*log(tanh(a/2 + b*x/2)**2 + 1)/(b*tanh(a/2 + b*x/2)**8 - 2*b*tanh(a/2 + b*x/2)**4 + b) + 4*tanh(a/2 + b*x/2)**6/(b*tanh(a/2 + b*x/2)**8 - 2*b*tanh(a/2 + b*x/2)**4 + b) + 4*tanh(a/2 + b*x/2)**2/(b*tanh(a/2 + b*x/2)**8 - 2*b*tanh(a/2 + b*x/2)**4 + b), Eq(m, -3)), (b*x*tanh(a/2 + b*x/2)**8/(b*tanh(a/2 + b*x/2)**8 - 4*b*tanh(a/2 + b*x/2)**6 + 6*b*tanh(a/2 + b*x/2)**4 - 4*b*tanh(a/2 + b*x/2)**2 + b) - 4*b*x*tanh(a/2 + b*x/2)**6/(b*tanh(a/2 + b*x/2)**8 - 4*b*tanh(a/2 + b*x/2)**6 + 6*b*tanh(a/2 + b*x/2)**4 - 4*b*tanh(a/2 + b*x/2)**2 + b) + 6*b*x*tanh(a/2 + b*x/2)**4/(b*tanh(a/2 + b*x/2)**8 - 4*b*tanh(a/2 + b*x/2)**6 + 6*b*tanh(a/2 + b*x/2)**4 - 4*b*tanh(a/2 + b*x/2)**2 + b) - 4*b*x*tanh(a/2 + b*x/2)**2/(b*tanh(a/2 + b*x/2)**8 - 4*b*tanh(a/2 + b*x/2)**6 + 6*b*tanh(a/2 + b*x/2)**4 - 4*b*tanh(a/2 + b*x/2)**2 + b) + b*x/(b*tanh(a/2 + b*x/2)**8 - 4*b*tanh(a/2 + b*x/2)**6 + 6*b*tanh(a/2 + b*x/2)**4 - 4*b*tanh(a/2 + b*x/2)**2 + b) - 2*log(tanh(a/2 + b*x/2) + 1)*tanh(a/2 + b*x/2)**8/(b*tanh(a/2 + b*x/2)**8 - 4*b*tanh(a/2 + b*x/2)**6 + 6*b*tanh(a/2 + b*x/2)**4 - 4*b*tanh(a/2 + b*x/2)**2 + b) + 8*log(tanh(a/2 + b*x/2) + 1)*tanh(a/2 + b*x/2)**6/(b*tanh(a/2 + b*x/2)**8 - 4*b*tanh(a/2 + b*x/2)**6 + 6*b*tanh(a/2 + b*x/2)**4 - 4*b*tanh(a/2 + b*x/2)**2 + b) - 12*log(tanh(a/2 + b*x/2) + 1)*tanh(a/2 + b*x/2)**4/(b*tanh(a/2 + b*x/2)**8 - 4*b*tanh(a/2 + b*x/2)**6 + 6*b*tanh(a/2 + b*x/2)**4 - 4*b*tanh(a/2 + b*x/2)**2 + b) + 8*log(tanh(a/2 + b*x/2) + 1)*tanh(a/2 + b*x/2)**2/(b*tanh(a/2 + b*x/2)**8 - 4*b*tanh(a/2 + b*x/2)**6 + 6*b*tanh(a/2 + b*x/2)**4 - 4*b*tanh(a/2 + b*x/2)**2 + b) - 2*log(tanh(a/2 + b*x/2) + 1)/(b*tanh(a/2 + b*x/2)**8 - 4*b*tanh(a/2 + b*x/2)**6 + 6*b*tanh(a/2 + b*x/2)**4 - 4*b*tanh(a/2 + b*x/2)**2 + b) + log(tanh(a/2 + b*x/2)**2 + 1)*tanh(a/2 + b*x/2)**8/(b*tanh(a/2 + b*x/2)**8 - 4*b*tanh(a/2 + b*x/2)**6 + 6*b*tanh(a/2 + b*x/2)**4 - 4*b*tanh(a/2 + b*x/2)**2 + b) - 4*log(tanh(a/2 + b*x/2)**2 + 1)*tanh(a/2 + b*x/2)**6/(b*tanh(a/2 + b*x/2)**8 - 4*b*tanh(a/2 + b*x/2)**6 + 6*b*tanh(a/2 + b*x/2)**4 - 4*b*tanh(a/2 + b*x/2)**2 + b) + 6*log(tanh(a/2 + b*x/2)**2 + 1)*tanh(a/2 + b*x/2)**4/(b*tanh(a/2 + b*x/2)**8 - 4*b*tanh(a/2 + b*x/2)**6 + 6*b*tanh(a/2 + b*x/2)**4 - 4*b*tanh(a/2 + b*x/2)**2 + b) - 4*log(tanh(a/2 + b*x/2)**2 + 1)*tanh(a/2 + b*x/2)**2/(b*tanh(a/2 + b*x/2)**8 - 4*b*tanh(a/2 + b*x/2)**6 + 6*b*tanh(a/2 + b*x/2)**4 - 4*b*tanh(a/2 + b*x/2)**2 + b) + log(tanh(a/2 + b*x/2)**2 + 1)/(b*tanh(a/2 + b*x/2)**8 - 4*b*tanh(a/2 + b*x/2)**6 + 6*b*tanh(a/2 + b*x/2)**4 - 4*b*tanh(a/2 + b*x/2)**2 + b) - 2*tanh(a/2 + b*x/2)**6/(b*tanh(a/2 + b*x/2)**8 - 4*b*tanh(a/2 + b*x/2)**6 + 6*b*tanh(a/2 + b*x/2)**4 - 4*b*tanh(a/2 + b*x/2)**2 + b) + 8*tanh(a/2 + b*x/2)**4/(b*tanh(a/2 + b*x/2)**8 - 4*b*tanh(a/2 + b*x/2)**6 + 6*b*tanh(a/2 + b*x/2)**4 - 4*b*tanh(a/2 + b*x/2)**2 + b) - 2*tanh(a/2 + b*x/2)**2/(b*tanh(a/2 + b*x/2)**8 - 4*b*tanh(a/2 + b*x/2)**6 + 6*b*tanh(a/2 + b*x/2)**4 - 4*b*tanh(a/2 + b*x/2)**2 + b), Eq(m, -1)), (m**2*sinh(a + b*x)**4*cosh(a + b*x)*cosh(a + b*x)**m/(b*m**3 + 9*b*m**2 + 23*b*m + 15*b) + 8*m*sinh(a + b*x)**4*cosh(a + b*x)*cosh(a + b*x)**m/(b*m**3 + 9*b*m**2 + 23*b*m + 15*b) - 4*m*sinh(a + b*x)**2*cosh(a + b*x)**3*cosh(a + b*x)**m/(b*m**3 + 9*b*m**2 + 23*b*m + 15*b) + 15*sinh(a + b*x)**4*cosh(a + b*x)*cosh(a + b*x)**m/(b*m**3 + 9*b*m**2 + 23*b*m + 15*b) - 20*sinh(a + b*x)**2*cosh(a + b*x)**3*cosh(a + b*x)**m/(b*m**3 + 9*b*m**2 + 23*b*m + 15*b) + 8*cosh(a + b*x)**5*cosh(a + b*x)**m/(b*m**3 + 9*b*m**2 + 23*b*m + 15*b), True))","A",0
15,1,92,0,0.840954," ","integrate(cosh(b*x+a)**2*sinh(b*x+a)**2,x)","\begin{cases} - \frac{x \sinh^{4}{\left(a + b x \right)}}{8} + \frac{x \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{4} - \frac{x \cosh^{4}{\left(a + b x \right)}}{8} + \frac{\sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{8 b} + \frac{\sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{8 b} & \text{for}\: b \neq 0 \\x \sinh^{2}{\left(a \right)} \cosh^{2}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-x*sinh(a + b*x)**4/8 + x*sinh(a + b*x)**2*cosh(a + b*x)**2/4 - x*cosh(a + b*x)**4/8 + sinh(a + b*x)**3*cosh(a + b*x)/(8*b) + sinh(a + b*x)*cosh(a + b*x)**3/(8*b), Ne(b, 0)), (x*sinh(a)**2*cosh(a)**2, True))","A",0
16,1,136,0,2.908936," ","integrate(cosh(b*x+a)**2*sinh(b*x+a)**4,x)","\begin{cases} - \frac{x \sinh^{6}{\left(a + b x \right)}}{16} + \frac{3 x \sinh^{4}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{16} - \frac{3 x \sinh^{2}{\left(a + b x \right)} \cosh^{4}{\left(a + b x \right)}}{16} + \frac{x \cosh^{6}{\left(a + b x \right)}}{16} + \frac{\sinh^{5}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{16 b} + \frac{\sinh^{3}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{6 b} - \frac{\sinh{\left(a + b x \right)} \cosh^{5}{\left(a + b x \right)}}{16 b} & \text{for}\: b \neq 0 \\x \sinh^{4}{\left(a \right)} \cosh^{2}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-x*sinh(a + b*x)**6/16 + 3*x*sinh(a + b*x)**4*cosh(a + b*x)**2/16 - 3*x*sinh(a + b*x)**2*cosh(a + b*x)**4/16 + x*cosh(a + b*x)**6/16 + sinh(a + b*x)**5*cosh(a + b*x)/(16*b) + sinh(a + b*x)**3*cosh(a + b*x)**3/(6*b) - sinh(a + b*x)*cosh(a + b*x)**5/(16*b), Ne(b, 0)), (x*sinh(a)**4*cosh(a)**2, True))","A",0
17,1,189,0,8.318381," ","integrate(cosh(b*x+a)**2*sinh(b*x+a)**6,x)","\begin{cases} - \frac{5 x \sinh^{8}{\left(a + b x \right)}}{128} + \frac{5 x \sinh^{6}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{32} - \frac{15 x \sinh^{4}{\left(a + b x \right)} \cosh^{4}{\left(a + b x \right)}}{64} + \frac{5 x \sinh^{2}{\left(a + b x \right)} \cosh^{6}{\left(a + b x \right)}}{32} - \frac{5 x \cosh^{8}{\left(a + b x \right)}}{128} + \frac{5 \sinh^{7}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{128 b} + \frac{73 \sinh^{5}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{384 b} - \frac{55 \sinh^{3}{\left(a + b x \right)} \cosh^{5}{\left(a + b x \right)}}{384 b} + \frac{5 \sinh{\left(a + b x \right)} \cosh^{7}{\left(a + b x \right)}}{128 b} & \text{for}\: b \neq 0 \\x \sinh^{6}{\left(a \right)} \cosh^{2}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-5*x*sinh(a + b*x)**8/128 + 5*x*sinh(a + b*x)**6*cosh(a + b*x)**2/32 - 15*x*sinh(a + b*x)**4*cosh(a + b*x)**4/64 + 5*x*sinh(a + b*x)**2*cosh(a + b*x)**6/32 - 5*x*cosh(a + b*x)**8/128 + 5*sinh(a + b*x)**7*cosh(a + b*x)/(128*b) + 73*sinh(a + b*x)**5*cosh(a + b*x)**3/(384*b) - 55*sinh(a + b*x)**3*cosh(a + b*x)**5/(384*b) + 5*sinh(a + b*x)*cosh(a + b*x)**7/(128*b), Ne(b, 0)), (x*sinh(a)**6*cosh(a)**2, True))","A",0
18,1,136,0,2.866770," ","integrate(cosh(b*x+a)**4*sinh(b*x+a)**2,x)","\begin{cases} \frac{x \sinh^{6}{\left(a + b x \right)}}{16} - \frac{3 x \sinh^{4}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{16} + \frac{3 x \sinh^{2}{\left(a + b x \right)} \cosh^{4}{\left(a + b x \right)}}{16} - \frac{x \cosh^{6}{\left(a + b x \right)}}{16} - \frac{\sinh^{5}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{16 b} + \frac{\sinh^{3}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{6 b} + \frac{\sinh{\left(a + b x \right)} \cosh^{5}{\left(a + b x \right)}}{16 b} & \text{for}\: b \neq 0 \\x \sinh^{2}{\left(a \right)} \cosh^{4}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*sinh(a + b*x)**6/16 - 3*x*sinh(a + b*x)**4*cosh(a + b*x)**2/16 + 3*x*sinh(a + b*x)**2*cosh(a + b*x)**4/16 - x*cosh(a + b*x)**6/16 - sinh(a + b*x)**5*cosh(a + b*x)/(16*b) + sinh(a + b*x)**3*cosh(a + b*x)**3/(6*b) + sinh(a + b*x)*cosh(a + b*x)**5/(16*b), Ne(b, 0)), (x*sinh(a)**2*cosh(a)**4, True))","A",0
19,1,189,0,8.288135," ","integrate(cosh(b*x+a)**4*sinh(b*x+a)**4,x)","\begin{cases} \frac{3 x \sinh^{8}{\left(a + b x \right)}}{128} - \frac{3 x \sinh^{6}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{32} + \frac{9 x \sinh^{4}{\left(a + b x \right)} \cosh^{4}{\left(a + b x \right)}}{64} - \frac{3 x \sinh^{2}{\left(a + b x \right)} \cosh^{6}{\left(a + b x \right)}}{32} + \frac{3 x \cosh^{8}{\left(a + b x \right)}}{128} - \frac{3 \sinh^{7}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{128 b} + \frac{11 \sinh^{5}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{128 b} + \frac{11 \sinh^{3}{\left(a + b x \right)} \cosh^{5}{\left(a + b x \right)}}{128 b} - \frac{3 \sinh{\left(a + b x \right)} \cosh^{7}{\left(a + b x \right)}}{128 b} & \text{for}\: b \neq 0 \\x \sinh^{4}{\left(a \right)} \cosh^{4}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((3*x*sinh(a + b*x)**8/128 - 3*x*sinh(a + b*x)**6*cosh(a + b*x)**2/32 + 9*x*sinh(a + b*x)**4*cosh(a + b*x)**4/64 - 3*x*sinh(a + b*x)**2*cosh(a + b*x)**6/32 + 3*x*cosh(a + b*x)**8/128 - 3*sinh(a + b*x)**7*cosh(a + b*x)/(128*b) + 11*sinh(a + b*x)**5*cosh(a + b*x)**3/(128*b) + 11*sinh(a + b*x)**3*cosh(a + b*x)**5/(128*b) - 3*sinh(a + b*x)*cosh(a + b*x)**7/(128*b), Ne(b, 0)), (x*sinh(a)**4*cosh(a)**4, True))","A",0
20,1,231,0,21.040223," ","integrate(cosh(b*x+a)**4*sinh(b*x+a)**6,x)","\begin{cases} \frac{3 x \sinh^{10}{\left(a + b x \right)}}{256} - \frac{15 x \sinh^{8}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{256} + \frac{15 x \sinh^{6}{\left(a + b x \right)} \cosh^{4}{\left(a + b x \right)}}{128} - \frac{15 x \sinh^{4}{\left(a + b x \right)} \cosh^{6}{\left(a + b x \right)}}{128} + \frac{15 x \sinh^{2}{\left(a + b x \right)} \cosh^{8}{\left(a + b x \right)}}{256} - \frac{3 x \cosh^{10}{\left(a + b x \right)}}{256} - \frac{3 \sinh^{9}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{256 b} + \frac{7 \sinh^{7}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{128 b} + \frac{\sinh^{5}{\left(a + b x \right)} \cosh^{5}{\left(a + b x \right)}}{10 b} - \frac{7 \sinh^{3}{\left(a + b x \right)} \cosh^{7}{\left(a + b x \right)}}{128 b} + \frac{3 \sinh{\left(a + b x \right)} \cosh^{9}{\left(a + b x \right)}}{256 b} & \text{for}\: b \neq 0 \\x \sinh^{6}{\left(a \right)} \cosh^{4}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((3*x*sinh(a + b*x)**10/256 - 15*x*sinh(a + b*x)**8*cosh(a + b*x)**2/256 + 15*x*sinh(a + b*x)**6*cosh(a + b*x)**4/128 - 15*x*sinh(a + b*x)**4*cosh(a + b*x)**6/128 + 15*x*sinh(a + b*x)**2*cosh(a + b*x)**8/256 - 3*x*cosh(a + b*x)**10/256 - 3*sinh(a + b*x)**9*cosh(a + b*x)/(256*b) + 7*sinh(a + b*x)**7*cosh(a + b*x)**3/(128*b) + sinh(a + b*x)**5*cosh(a + b*x)**5/(10*b) - 7*sinh(a + b*x)**3*cosh(a + b*x)**7/(128*b) + 3*sinh(a + b*x)*cosh(a + b*x)**9/(256*b), Ne(b, 0)), (x*sinh(a)**6*cosh(a)**4, True))","A",0
21,1,189,0,8.351746," ","integrate(cosh(b*x+a)**6*sinh(b*x+a)**2,x)","\begin{cases} - \frac{5 x \sinh^{8}{\left(a + b x \right)}}{128} + \frac{5 x \sinh^{6}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{32} - \frac{15 x \sinh^{4}{\left(a + b x \right)} \cosh^{4}{\left(a + b x \right)}}{64} + \frac{5 x \sinh^{2}{\left(a + b x \right)} \cosh^{6}{\left(a + b x \right)}}{32} - \frac{5 x \cosh^{8}{\left(a + b x \right)}}{128} + \frac{5 \sinh^{7}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{128 b} - \frac{55 \sinh^{5}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{384 b} + \frac{73 \sinh^{3}{\left(a + b x \right)} \cosh^{5}{\left(a + b x \right)}}{384 b} + \frac{5 \sinh{\left(a + b x \right)} \cosh^{7}{\left(a + b x \right)}}{128 b} & \text{for}\: b \neq 0 \\x \sinh^{2}{\left(a \right)} \cosh^{6}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-5*x*sinh(a + b*x)**8/128 + 5*x*sinh(a + b*x)**6*cosh(a + b*x)**2/32 - 15*x*sinh(a + b*x)**4*cosh(a + b*x)**4/64 + 5*x*sinh(a + b*x)**2*cosh(a + b*x)**6/32 - 5*x*cosh(a + b*x)**8/128 + 5*sinh(a + b*x)**7*cosh(a + b*x)/(128*b) - 55*sinh(a + b*x)**5*cosh(a + b*x)**3/(384*b) + 73*sinh(a + b*x)**3*cosh(a + b*x)**5/(384*b) + 5*sinh(a + b*x)*cosh(a + b*x)**7/(128*b), Ne(b, 0)), (x*sinh(a)**2*cosh(a)**6, True))","A",0
22,1,231,0,21.150176," ","integrate(cosh(b*x+a)**6*sinh(b*x+a)**4,x)","\begin{cases} - \frac{3 x \sinh^{10}{\left(a + b x \right)}}{256} + \frac{15 x \sinh^{8}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{256} - \frac{15 x \sinh^{6}{\left(a + b x \right)} \cosh^{4}{\left(a + b x \right)}}{128} + \frac{15 x \sinh^{4}{\left(a + b x \right)} \cosh^{6}{\left(a + b x \right)}}{128} - \frac{15 x \sinh^{2}{\left(a + b x \right)} \cosh^{8}{\left(a + b x \right)}}{256} + \frac{3 x \cosh^{10}{\left(a + b x \right)}}{256} + \frac{3 \sinh^{9}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{256 b} - \frac{7 \sinh^{7}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{128 b} + \frac{\sinh^{5}{\left(a + b x \right)} \cosh^{5}{\left(a + b x \right)}}{10 b} + \frac{7 \sinh^{3}{\left(a + b x \right)} \cosh^{7}{\left(a + b x \right)}}{128 b} - \frac{3 \sinh{\left(a + b x \right)} \cosh^{9}{\left(a + b x \right)}}{256 b} & \text{for}\: b \neq 0 \\x \sinh^{4}{\left(a \right)} \cosh^{6}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-3*x*sinh(a + b*x)**10/256 + 15*x*sinh(a + b*x)**8*cosh(a + b*x)**2/256 - 15*x*sinh(a + b*x)**6*cosh(a + b*x)**4/128 + 15*x*sinh(a + b*x)**4*cosh(a + b*x)**6/128 - 15*x*sinh(a + b*x)**2*cosh(a + b*x)**8/256 + 3*x*cosh(a + b*x)**10/256 + 3*sinh(a + b*x)**9*cosh(a + b*x)/(256*b) - 7*sinh(a + b*x)**7*cosh(a + b*x)**3/(128*b) + sinh(a + b*x)**5*cosh(a + b*x)**5/(10*b) + 7*sinh(a + b*x)**3*cosh(a + b*x)**7/(128*b) - 3*sinh(a + b*x)*cosh(a + b*x)**9/(256*b), Ne(b, 0)), (x*sinh(a)**4*cosh(a)**6, True))","A",0
23,1,277,0,47.861421," ","integrate(cosh(b*x+a)**6*sinh(b*x+a)**6,x)","\begin{cases} - \frac{5 x \sinh^{12}{\left(a + b x \right)}}{1024} + \frac{15 x \sinh^{10}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{512} - \frac{75 x \sinh^{8}{\left(a + b x \right)} \cosh^{4}{\left(a + b x \right)}}{1024} + \frac{25 x \sinh^{6}{\left(a + b x \right)} \cosh^{6}{\left(a + b x \right)}}{256} - \frac{75 x \sinh^{4}{\left(a + b x \right)} \cosh^{8}{\left(a + b x \right)}}{1024} + \frac{15 x \sinh^{2}{\left(a + b x \right)} \cosh^{10}{\left(a + b x \right)}}{512} - \frac{5 x \cosh^{12}{\left(a + b x \right)}}{1024} + \frac{5 \sinh^{11}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{1024 b} - \frac{85 \sinh^{9}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{3072 b} + \frac{33 \sinh^{7}{\left(a + b x \right)} \cosh^{5}{\left(a + b x \right)}}{512 b} + \frac{33 \sinh^{5}{\left(a + b x \right)} \cosh^{7}{\left(a + b x \right)}}{512 b} - \frac{85 \sinh^{3}{\left(a + b x \right)} \cosh^{9}{\left(a + b x \right)}}{3072 b} + \frac{5 \sinh{\left(a + b x \right)} \cosh^{11}{\left(a + b x \right)}}{1024 b} & \text{for}\: b \neq 0 \\x \sinh^{6}{\left(a \right)} \cosh^{6}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-5*x*sinh(a + b*x)**12/1024 + 15*x*sinh(a + b*x)**10*cosh(a + b*x)**2/512 - 75*x*sinh(a + b*x)**8*cosh(a + b*x)**4/1024 + 25*x*sinh(a + b*x)**6*cosh(a + b*x)**6/256 - 75*x*sinh(a + b*x)**4*cosh(a + b*x)**8/1024 + 15*x*sinh(a + b*x)**2*cosh(a + b*x)**10/512 - 5*x*cosh(a + b*x)**12/1024 + 5*sinh(a + b*x)**11*cosh(a + b*x)/(1024*b) - 85*sinh(a + b*x)**9*cosh(a + b*x)**3/(3072*b) + 33*sinh(a + b*x)**7*cosh(a + b*x)**5/(512*b) + 33*sinh(a + b*x)**5*cosh(a + b*x)**7/(512*b) - 85*sinh(a + b*x)**3*cosh(a + b*x)**9/(3072*b) + 5*sinh(a + b*x)*cosh(a + b*x)**11/(1024*b), Ne(b, 0)), (x*sinh(a)**6*cosh(a)**6, True))","A",0
24,0,0,0,0.000000," ","integrate(csch(b*x+a)*sech(b*x+a),x)","\int \operatorname{csch}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral(csch(a + b*x)*sech(a + b*x), x)","F",0
25,0,0,0,0.000000," ","integrate(csch(b*x+a)*sech(b*x+a)**2,x)","\int \operatorname{csch}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(csch(a + b*x)*sech(a + b*x)**2, x)","F",0
26,0,0,0,0.000000," ","integrate(csch(b*x+a)*sech(b*x+a)**3,x)","\int \operatorname{csch}{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(csch(a + b*x)*sech(a + b*x)**3, x)","F",0
27,0,0,0,0.000000," ","integrate(csch(b*x+a)*sech(b*x+a)**4,x)","\int \operatorname{csch}{\left(a + b x \right)} \operatorname{sech}^{4}{\left(a + b x \right)}\, dx"," ",0,"Integral(csch(a + b*x)*sech(a + b*x)**4, x)","F",0
28,0,0,0,0.000000," ","integrate(csch(b*x+a)*sech(b*x+a)**5,x)","\int \operatorname{csch}{\left(a + b x \right)} \operatorname{sech}^{5}{\left(a + b x \right)}\, dx"," ",0,"Integral(csch(a + b*x)*sech(a + b*x)**5, x)","F",0
29,0,0,0,0.000000," ","integrate(csch(b*x+a)**2*sech(b*x+a),x)","\int \operatorname{csch}^{2}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral(csch(a + b*x)**2*sech(a + b*x), x)","F",0
30,0,0,0,0.000000," ","integrate(csch(b*x+a)**2*sech(b*x+a)**2,x)","\int \operatorname{csch}^{2}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(csch(a + b*x)**2*sech(a + b*x)**2, x)","F",0
31,0,0,0,0.000000," ","integrate(csch(b*x+a)**2*sech(b*x+a)**3,x)","\int \operatorname{csch}^{2}{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(csch(a + b*x)**2*sech(a + b*x)**3, x)","F",0
32,0,0,0,0.000000," ","integrate(csch(b*x+a)**2*sech(b*x+a)**4,x)","\int \operatorname{csch}^{2}{\left(a + b x \right)} \operatorname{sech}^{4}{\left(a + b x \right)}\, dx"," ",0,"Integral(csch(a + b*x)**2*sech(a + b*x)**4, x)","F",0
33,0,0,0,0.000000," ","integrate(csch(b*x+a)**2*sech(b*x+a)**5,x)","\int \operatorname{csch}^{2}{\left(a + b x \right)} \operatorname{sech}^{5}{\left(a + b x \right)}\, dx"," ",0,"Integral(csch(a + b*x)**2*sech(a + b*x)**5, x)","F",0
34,0,0,0,0.000000," ","integrate(csch(b*x+a)**3*sech(b*x+a),x)","\int \operatorname{csch}^{3}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral(csch(a + b*x)**3*sech(a + b*x), x)","F",0
35,0,0,0,0.000000," ","integrate(csch(b*x+a)**3*sech(b*x+a)**2,x)","\int \operatorname{csch}^{3}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(csch(a + b*x)**3*sech(a + b*x)**2, x)","F",0
36,0,0,0,0.000000," ","integrate(csch(b*x+a)**3*sech(b*x+a)**3,x)","\int \operatorname{csch}^{3}{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(csch(a + b*x)**3*sech(a + b*x)**3, x)","F",0
37,0,0,0,0.000000," ","integrate(csch(b*x+a)**3*sech(b*x+a)**4,x)","\int \operatorname{csch}^{3}{\left(a + b x \right)} \operatorname{sech}^{4}{\left(a + b x \right)}\, dx"," ",0,"Integral(csch(a + b*x)**3*sech(a + b*x)**4, x)","F",0
38,0,0,0,0.000000," ","integrate(csch(b*x+a)**3*sech(b*x+a)**5,x)","\int \operatorname{csch}^{3}{\left(a + b x \right)} \operatorname{sech}^{5}{\left(a + b x \right)}\, dx"," ",0,"Integral(csch(a + b*x)**3*sech(a + b*x)**5, x)","F",0
39,0,0,0,0.000000," ","integrate(csch(b*x+a)**4*sech(b*x+a),x)","\int \operatorname{csch}^{4}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral(csch(a + b*x)**4*sech(a + b*x), x)","F",0
40,0,0,0,0.000000," ","integrate(csch(b*x+a)**4*sech(b*x+a)**2,x)","\int \operatorname{csch}^{4}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(csch(a + b*x)**4*sech(a + b*x)**2, x)","F",0
41,0,0,0,0.000000," ","integrate(csch(b*x+a)**4*sech(b*x+a)**3,x)","\int \operatorname{csch}^{4}{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(csch(a + b*x)**4*sech(a + b*x)**3, x)","F",0
42,0,0,0,0.000000," ","integrate(csch(b*x+a)**4*sech(b*x+a)**4,x)","\int \operatorname{csch}^{4}{\left(a + b x \right)} \operatorname{sech}^{4}{\left(a + b x \right)}\, dx"," ",0,"Integral(csch(a + b*x)**4*sech(a + b*x)**4, x)","F",0
43,0,0,0,0.000000," ","integrate(csch(b*x+a)**4*sech(b*x+a)**5,x)","\int \operatorname{csch}^{4}{\left(a + b x \right)} \operatorname{sech}^{5}{\left(a + b x \right)}\, dx"," ",0,"Integral(csch(a + b*x)**4*sech(a + b*x)**5, x)","F",0
44,0,0,0,0.000000," ","integrate(csch(b*x+a)**5*sech(b*x+a),x)","\int \operatorname{csch}^{5}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral(csch(a + b*x)**5*sech(a + b*x), x)","F",0
45,0,0,0,0.000000," ","integrate(csch(b*x+a)**5*sech(b*x+a)**2,x)","\int \operatorname{csch}^{5}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(csch(a + b*x)**5*sech(a + b*x)**2, x)","F",0
46,0,0,0,0.000000," ","integrate(csch(b*x+a)**5*sech(b*x+a)**3,x)","\int \operatorname{csch}^{5}{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(csch(a + b*x)**5*sech(a + b*x)**3, x)","F",0
47,0,0,0,0.000000," ","integrate(csch(b*x+a)**5*sech(b*x+a)**4,x)","\int \operatorname{csch}^{5}{\left(a + b x \right)} \operatorname{sech}^{4}{\left(a + b x \right)}\, dx"," ",0,"Integral(csch(a + b*x)**5*sech(a + b*x)**4, x)","F",0
48,0,0,0,0.000000," ","integrate(csch(b*x+a)**5*sech(b*x+a)**5,x)","\int \operatorname{csch}^{5}{\left(a + b x \right)} \operatorname{sech}^{5}{\left(a + b x \right)}\, dx"," ",0,"Integral(csch(a + b*x)**5*sech(a + b*x)**5, x)","F",0
49,-1,0,0,0.000000," ","integrate(sinh(b*x+a)**(7/2)/cosh(b*x+a)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
50,-1,0,0,0.000000," ","integrate(sinh(b*x+a)**(5/2)/cosh(b*x+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
51,0,0,0,0.000000," ","integrate(sinh(b*x+a)**(3/2)/cosh(b*x+a)**(3/2),x)","\int \frac{\sinh^{\frac{3}{2}}{\left(a + b x \right)}}{\cosh^{\frac{3}{2}}{\left(a + b x \right)}}\, dx"," ",0,"Integral(sinh(a + b*x)**(3/2)/cosh(a + b*x)**(3/2), x)","F",0
52,0,0,0,0.000000," ","integrate(sinh(b*x+a)**(1/2)/cosh(b*x+a)**(1/2),x)","\int \frac{\sqrt{\sinh{\left(a + b x \right)}}}{\sqrt{\cosh{\left(a + b x \right)}}}\, dx"," ",0,"Integral(sqrt(sinh(a + b*x))/sqrt(cosh(a + b*x)), x)","F",0
53,0,0,0,0.000000," ","integrate(cosh(b*x+a)**(1/2)/sinh(b*x+a)**(1/2),x)","\int \frac{\sqrt{\cosh{\left(a + b x \right)}}}{\sqrt{\sinh{\left(a + b x \right)}}}\, dx"," ",0,"Integral(sqrt(cosh(a + b*x))/sqrt(sinh(a + b*x)), x)","F",0
54,0,0,0,0.000000," ","integrate(cosh(b*x+a)**(3/2)/sinh(b*x+a)**(3/2),x)","\int \frac{\cosh^{\frac{3}{2}}{\left(a + b x \right)}}{\sinh^{\frac{3}{2}}{\left(a + b x \right)}}\, dx"," ",0,"Integral(cosh(a + b*x)**(3/2)/sinh(a + b*x)**(3/2), x)","F",0
55,-1,0,0,0.000000," ","integrate(cosh(b*x+a)**(5/2)/sinh(b*x+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
56,-1,0,0,0.000000," ","integrate(cosh(b*x+a)**(7/2)/sinh(b*x+a)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
57,-1,0,0,0.000000," ","integrate(sinh(b*x+a)**(7/3)/cosh(b*x+a)**(7/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
58,-1,0,0,0.000000," ","integrate(sinh(b*x+a)**(5/3)/cosh(b*x+a)**(5/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
59,0,0,0,0.000000," ","integrate(sinh(b*x+a)**(4/3)/cosh(b*x+a)**(4/3),x)","\int \frac{\sinh^{\frac{4}{3}}{\left(a + b x \right)}}{\cosh^{\frac{4}{3}}{\left(a + b x \right)}}\, dx"," ",0,"Integral(sinh(a + b*x)**(4/3)/cosh(a + b*x)**(4/3), x)","F",0
60,0,0,0,0.000000," ","integrate(sinh(b*x+a)**(2/3)/cosh(b*x+a)**(2/3),x)","\int \frac{\sinh^{\frac{2}{3}}{\left(a + b x \right)}}{\cosh^{\frac{2}{3}}{\left(a + b x \right)}}\, dx"," ",0,"Integral(sinh(a + b*x)**(2/3)/cosh(a + b*x)**(2/3), x)","F",0
61,0,0,0,0.000000," ","integrate(sinh(b*x+a)**(1/3)/cosh(b*x+a)**(1/3),x)","\int \frac{\sqrt[3]{\sinh{\left(a + b x \right)}}}{\sqrt[3]{\cosh{\left(a + b x \right)}}}\, dx"," ",0,"Integral(sinh(a + b*x)**(1/3)/cosh(a + b*x)**(1/3), x)","F",0
62,0,0,0,0.000000," ","integrate(cosh(b*x+a)**(1/3)/sinh(b*x+a)**(1/3),x)","\int \frac{\sqrt[3]{\cosh{\left(a + b x \right)}}}{\sqrt[3]{\sinh{\left(a + b x \right)}}}\, dx"," ",0,"Integral(cosh(a + b*x)**(1/3)/sinh(a + b*x)**(1/3), x)","F",0
63,0,0,0,0.000000," ","integrate(cosh(b*x+a)**(2/3)/sinh(b*x+a)**(2/3),x)","\int \frac{\cosh^{\frac{2}{3}}{\left(a + b x \right)}}{\sinh^{\frac{2}{3}}{\left(a + b x \right)}}\, dx"," ",0,"Integral(cosh(a + b*x)**(2/3)/sinh(a + b*x)**(2/3), x)","F",0
64,0,0,0,0.000000," ","integrate(cosh(b*x+a)**(4/3)/sinh(b*x+a)**(4/3),x)","\int \frac{\cosh^{\frac{4}{3}}{\left(a + b x \right)}}{\sinh^{\frac{4}{3}}{\left(a + b x \right)}}\, dx"," ",0,"Integral(cosh(a + b*x)**(4/3)/sinh(a + b*x)**(4/3), x)","F",0
65,-1,0,0,0.000000," ","integrate(cosh(b*x+a)**(5/3)/sinh(b*x+a)**(5/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
66,-1,0,0,0.000000," ","integrate(cosh(b*x+a)**(7/3)/sinh(b*x+a)**(7/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
67,-1,0,0,0.000000," ","integrate(cosh(x)**(2/3)/sinh(x)**(8/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
68,-1,0,0,0.000000," ","integrate(sinh(x)**(2/3)/cosh(x)**(8/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
69,-1,0,0,0.000000," ","integrate(cosh(x)*csch(x)**(7/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
70,0,0,0,0.000000," ","integrate(sinh(b*x+a)*tanh(b*x+a),x)","\int \sinh{\left(a + b x \right)} \tanh{\left(a + b x \right)}\, dx"," ",0,"Integral(sinh(a + b*x)*tanh(a + b*x), x)","F",0
71,0,0,0,0.000000," ","integrate(sinh(b*x+a)*tanh(b*x+a)**2,x)","\int \sinh{\left(a + b x \right)} \tanh^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(sinh(a + b*x)*tanh(a + b*x)**2, x)","F",0
72,0,0,0,0.000000," ","integrate(sinh(b*x+a)*tanh(b*x+a)**3,x)","\int \sinh{\left(a + b x \right)} \tanh^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(sinh(a + b*x)*tanh(a + b*x)**3, x)","F",0
73,0,0,0,0.000000," ","integrate(sinh(b*x+a)*tanh(b*x+a)**4,x)","\int \sinh{\left(a + b x \right)} \tanh^{4}{\left(a + b x \right)}\, dx"," ",0,"Integral(sinh(a + b*x)*tanh(a + b*x)**4, x)","F",0
74,0,0,0,0.000000," ","integrate(sinh(b*x+a)**2*tanh(b*x+a),x)","\int \sinh^{2}{\left(a + b x \right)} \tanh{\left(a + b x \right)}\, dx"," ",0,"Integral(sinh(a + b*x)**2*tanh(a + b*x), x)","F",0
75,0,0,0,0.000000," ","integrate(sinh(b*x+a)**2*tanh(b*x+a)**2,x)","\int \sinh^{2}{\left(a + b x \right)} \tanh^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(sinh(a + b*x)**2*tanh(a + b*x)**2, x)","F",0
76,0,0,0,0.000000," ","integrate(sinh(b*x+a)**2*tanh(b*x+a)**3,x)","\int \sinh^{2}{\left(a + b x \right)} \tanh^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(sinh(a + b*x)**2*tanh(a + b*x)**3, x)","F",0
77,0,0,0,0.000000," ","integrate(sinh(b*x+a)**3*tanh(b*x+a),x)","\int \sinh^{3}{\left(a + b x \right)} \tanh{\left(a + b x \right)}\, dx"," ",0,"Integral(sinh(a + b*x)**3*tanh(a + b*x), x)","F",0
78,0,0,0,0.000000," ","integrate(sinh(b*x+a)**3*tanh(b*x+a)**2,x)","\int \sinh^{3}{\left(a + b x \right)} \tanh^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(sinh(a + b*x)**3*tanh(a + b*x)**2, x)","F",0
79,0,0,0,0.000000," ","integrate(sinh(b*x+a)**3*tanh(b*x+a)**3,x)","\int \sinh^{3}{\left(a + b x \right)} \tanh^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(sinh(a + b*x)**3*tanh(a + b*x)**3, x)","F",0
80,0,0,0,0.000000," ","integrate(sinh(b*x+a)**4*tanh(b*x+a),x)","\int \sinh^{4}{\left(a + b x \right)} \tanh{\left(a + b x \right)}\, dx"," ",0,"Integral(sinh(a + b*x)**4*tanh(a + b*x), x)","F",0
81,1,17,0,0.243875," ","integrate(sech(b*x+a)*tanh(b*x+a),x)","\begin{cases} - \frac{\operatorname{sech}{\left(a + b x \right)}}{b} & \text{for}\: b \neq 0 \\x \tanh{\left(a \right)} \operatorname{sech}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-sech(a + b*x)/b, Ne(b, 0)), (x*tanh(a)*sech(a), True))","A",0
82,1,22,0,0.438887," ","integrate(sech(b*x+a)**2*tanh(b*x+a),x)","\begin{cases} - \frac{\operatorname{sech}^{2}{\left(a + b x \right)}}{2 b} & \text{for}\: b \neq 0 \\x \tanh{\left(a \right)} \operatorname{sech}^{2}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-sech(a + b*x)**2/(2*b), Ne(b, 0)), (x*tanh(a)*sech(a)**2, True))","A",0
83,1,39,0,0.493853," ","integrate(sech(b*x+a)**n*tanh(b*x+a),x)","\begin{cases} x \tanh{\left(a \right)} & \text{for}\: b = 0 \wedge n = 0 \\x \tanh{\left(a \right)} \operatorname{sech}^{n}{\left(a \right)} & \text{for}\: b = 0 \\x - \frac{\log{\left(\tanh{\left(a + b x \right)} + 1 \right)}}{b} & \text{for}\: n = 0 \\- \frac{\operatorname{sech}^{n}{\left(a + b x \right)}}{b n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*tanh(a), Eq(b, 0) & Eq(n, 0)), (x*tanh(a)*sech(a)**n, Eq(b, 0)), (x - log(tanh(a + b*x) + 1)/b, Eq(n, 0)), (-sech(a + b*x)**n/(b*n), True))","A",0
84,0,0,0,0.000000," ","integrate(sech(b*x+a)**2*tanh(b*x+a)**2,x)","\int \tanh^{2}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(tanh(a + b*x)**2*sech(a + b*x)**2, x)","F",0
85,1,44,0,1.527042," ","integrate(sech(b*x+a)**2*tanh(b*x+a)**3,x)","\begin{cases} - \frac{\tanh^{2}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}}{4 b} - \frac{\operatorname{sech}^{2}{\left(a + b x \right)}}{4 b} & \text{for}\: b \neq 0 \\x \tanh^{3}{\left(a \right)} \operatorname{sech}^{2}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-tanh(a + b*x)**2*sech(a + b*x)**2/(4*b) - sech(a + b*x)**2/(4*b), Ne(b, 0)), (x*tanh(a)**3*sech(a)**2, True))","A",0
86,0,0,0,0.000000," ","integrate(sech(b*x+a)**2*tanh(b*x+a)**n,x)","\int \tanh^{n}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(tanh(a + b*x)**n*sech(a + b*x)**2, x)","F",0
87,1,41,0,0.847133," ","integrate(sech(b*x+a)*tanh(b*x+a)**3,x)","\begin{cases} - \frac{\tanh^{2}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}}{3 b} - \frac{2 \operatorname{sech}{\left(a + b x \right)}}{3 b} & \text{for}\: b \neq 0 \\x \tanh^{3}{\left(a \right)} \operatorname{sech}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-tanh(a + b*x)**2*sech(a + b*x)/(3*b) - 2*sech(a + b*x)/(3*b), Ne(b, 0)), (x*tanh(a)**3*sech(a), True))","A",0
88,1,46,0,2.719036," ","integrate(sech(b*x+a)**3*tanh(b*x+a)**3,x)","\begin{cases} - \frac{\tanh^{2}{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}}{5 b} - \frac{2 \operatorname{sech}^{3}{\left(a + b x \right)}}{15 b} & \text{for}\: b \neq 0 \\x \tanh^{3}{\left(a \right)} \operatorname{sech}^{3}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-tanh(a + b*x)**2*sech(a + b*x)**3/(5*b) - 2*sech(a + b*x)**3/(15*b), Ne(b, 0)), (x*tanh(a)**3*sech(a)**3, True))","A",0
89,0,0,0,0.000000," ","integrate(sech(b*x+a)**n*tanh(b*x+a)**3,x)","\begin{cases} x \tanh^{3}{\left(a \right)} \operatorname{sech}^{n}{\left(a \right)} & \text{for}\: b = 0 \\\int \frac{\tanh^{3}{\left(a + b x \right)}}{\operatorname{sech}^{2}{\left(a + b x \right)}}\, dx & \text{for}\: n = -2 \\x - \frac{\log{\left(\tanh{\left(a + b x \right)} + 1 \right)}}{b} - \frac{\tanh^{2}{\left(a + b x \right)}}{2 b} & \text{for}\: n = 0 \\- \frac{n \tanh^{2}{\left(a + b x \right)} \operatorname{sech}^{n}{\left(a + b x \right)}}{b n^{2} + 2 b n} - \frac{2 \operatorname{sech}^{n}{\left(a + b x \right)}}{b n^{2} + 2 b n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*tanh(a)**3*sech(a)**n, Eq(b, 0)), (Integral(tanh(a + b*x)**3/sech(a + b*x)**2, x), Eq(n, -2)), (x - log(tanh(a + b*x) + 1)/b - tanh(a + b*x)**2/(2*b), Eq(n, 0)), (-n*tanh(a + b*x)**2*sech(a + b*x)**n/(b*n**2 + 2*b*n) - 2*sech(a + b*x)**n/(b*n**2 + 2*b*n), True))","F",0
90,0,0,0,0.000000," ","integrate(sech(b*x+a)**4*tanh(b*x+a)**2,x)","\int \tanh^{2}{\left(a + b x \right)} \operatorname{sech}^{4}{\left(a + b x \right)}\, dx"," ",0,"Integral(tanh(a + b*x)**2*sech(a + b*x)**4, x)","F",0
91,0,0,0,0.000000," ","integrate(sech(b*x+a)**4*tanh(b*x+a)**(1/2),x)","\int \sqrt{\tanh{\left(a + b x \right)}} \operatorname{sech}^{4}{\left(a + b x \right)}\, dx"," ",0,"Integral(sqrt(tanh(a + b*x))*sech(a + b*x)**4, x)","F",0
92,0,0,0,0.000000," ","integrate(sech(b*x+a)**4*tanh(b*x+a)**n,x)","\int \tanh^{n}{\left(a + b x \right)} \operatorname{sech}^{4}{\left(a + b x \right)}\, dx"," ",0,"Integral(tanh(a + b*x)**n*sech(a + b*x)**4, x)","F",0
93,0,0,0,0.000000," ","integrate(sech(b*x+a)*tanh(b*x+a)**2,x)","\int \tanh^{2}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral(tanh(a + b*x)**2*sech(a + b*x), x)","F",0
94,0,0,0,0.000000," ","integrate(sech(b*x+a)*tanh(b*x+a)**4,x)","\int \tanh^{4}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral(tanh(a + b*x)**4*sech(a + b*x), x)","F",0
95,0,0,0,0.000000," ","integrate(sech(b*x+a)**3*tanh(b*x+a)**2,x)","\int \tanh^{2}{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(tanh(a + b*x)**2*sech(a + b*x)**3, x)","F",0
96,1,29,0,1.466237," ","integrate(sech(x)*tanh(x)**5,x)","- \frac{\tanh^{4}{\left(x \right)} \operatorname{sech}{\left(x \right)}}{5} - \frac{4 \tanh^{2}{\left(x \right)} \operatorname{sech}{\left(x \right)}}{15} - \frac{8 \operatorname{sech}{\left(x \right)}}{15}"," ",0,"-tanh(x)**4*sech(x)/5 - 4*tanh(x)**2*sech(x)/15 - 8*sech(x)/15","A",0
97,1,34,0,22.408297," ","integrate(sech(x)**7*tanh(x)**5,x)","- \frac{\tanh^{4}{\left(x \right)} \operatorname{sech}^{7}{\left(x \right)}}{11} - \frac{4 \tanh^{2}{\left(x \right)} \operatorname{sech}^{7}{\left(x \right)}}{99} - \frac{8 \operatorname{sech}^{7}{\left(x \right)}}{693}"," ",0,"-tanh(x)**4*sech(x)**7/11 - 4*tanh(x)**2*sech(x)**7/99 - 8*sech(x)**7/693","A",0
98,0,0,0,0.000000," ","integrate(sech(x)**3*tanh(x)**4,x)","\int \tanh^{4}{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)}\, dx"," ",0,"Integral(tanh(x)**4*sech(x)**3, x)","F",0
99,0,0,0,0.000000," ","integrate(sech(x)**5*tanh(x)**2,x)","\int \tanh^{2}{\left(x \right)} \operatorname{sech}^{5}{\left(x \right)}\, dx"," ",0,"Integral(tanh(x)**2*sech(x)**5, x)","F",0
100,0,0,0,0.000000," ","integrate(sech(x)**8*tanh(x)**6,x)","\int \tanh^{6}{\left(x \right)} \operatorname{sech}^{8}{\left(x \right)}\, dx"," ",0,"Integral(tanh(x)**6*sech(x)**8, x)","F",0
101,0,0,0,0.000000," ","integrate(cosh(b*x+a)*coth(b*x+a),x)","\int \cosh{\left(a + b x \right)} \coth{\left(a + b x \right)}\, dx"," ",0,"Integral(cosh(a + b*x)*coth(a + b*x), x)","F",0
102,0,0,0,0.000000," ","integrate(cosh(b*x+a)*coth(b*x+a)**2,x)","\int \cosh{\left(a + b x \right)} \coth^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(cosh(a + b*x)*coth(a + b*x)**2, x)","F",0
103,0,0,0,0.000000," ","integrate(cosh(b*x+a)*coth(b*x+a)**3,x)","\int \cosh{\left(a + b x \right)} \coth^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(cosh(a + b*x)*coth(a + b*x)**3, x)","F",0
104,0,0,0,0.000000," ","integrate(cosh(b*x+a)*coth(b*x+a)**4,x)","\int \cosh{\left(a + b x \right)} \coth^{4}{\left(a + b x \right)}\, dx"," ",0,"Integral(cosh(a + b*x)*coth(a + b*x)**4, x)","F",0
105,1,116,0,11.851212," ","integrate(cosh(b*x+a)**2*coth(b*x+a),x)","\begin{cases} x \cosh^{2}{\left(a \right)} \coth{\left(a \right)} & \text{for}\: b = 0 \\\tilde{\infty} x & \text{for}\: a = \log{\left(- e^{- b x} \right)} \vee a = \log{\left(e^{- b x} \right)} \\- \frac{x \sinh^{2}{\left(a + b x \right)} \coth{\left(a + b x \right)}}{2} + \frac{x \cosh^{2}{\left(a + b x \right)} \coth{\left(a + b x \right)}}{2} - \frac{x \cosh{\left(a + b x \right)}}{2 \sinh{\left(a + b x \right)}} + \frac{\log{\left(\sinh{\left(a + b x \right)} \right)}}{b} + \frac{\sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)} \coth{\left(a + b x \right)}}{2 b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*cosh(a)**2*coth(a), Eq(b, 0)), (zoo*x, Eq(a, log(exp(-b*x))) | Eq(a, log(-exp(-b*x)))), (-x*sinh(a + b*x)**2*coth(a + b*x)/2 + x*cosh(a + b*x)**2*coth(a + b*x)/2 - x*cosh(a + b*x)/(2*sinh(a + b*x)) + log(sinh(a + b*x))/b + sinh(a + b*x)*cosh(a + b*x)*coth(a + b*x)/(2*b), True))","A",0
106,0,0,0,0.000000," ","integrate(cosh(b*x+a)**2*coth(b*x+a)**2,x)","\int \cosh^{2}{\left(a + b x \right)} \coth^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(cosh(a + b*x)**2*coth(a + b*x)**2, x)","F",0
107,0,0,0,0.000000," ","integrate(cosh(b*x+a)**2*coth(b*x+a)**3,x)","\int \cosh^{2}{\left(a + b x \right)} \coth^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(cosh(a + b*x)**2*coth(a + b*x)**3, x)","F",0
108,0,0,0,0.000000," ","integrate(cosh(b*x+a)**3*coth(b*x+a),x)","\int \cosh^{3}{\left(a + b x \right)} \coth{\left(a + b x \right)}\, dx"," ",0,"Integral(cosh(a + b*x)**3*coth(a + b*x), x)","F",0
109,0,0,0,0.000000," ","integrate(cosh(b*x+a)**3*coth(b*x+a)**2,x)","\int \cosh^{3}{\left(a + b x \right)} \coth^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(cosh(a + b*x)**3*coth(a + b*x)**2, x)","F",0
110,0,0,0,0.000000," ","integrate(cosh(b*x+a)**3*coth(b*x+a)**3,x)","\int \cosh^{3}{\left(a + b x \right)} \coth^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(cosh(a + b*x)**3*coth(a + b*x)**3, x)","F",0
111,0,0,0,0.000000," ","integrate(cosh(b*x+a)**4*coth(b*x+a),x)","\int \cosh^{4}{\left(a + b x \right)} \coth{\left(a + b x \right)}\, dx"," ",0,"Integral(cosh(a + b*x)**4*coth(a + b*x), x)","F",0
112,0,0,0,0.000000," ","integrate(coth(b*x+a)*csch(b*x+a),x)","\int \coth{\left(a + b x \right)} \operatorname{csch}{\left(a + b x \right)}\, dx"," ",0,"Integral(coth(a + b*x)*csch(a + b*x), x)","F",0
113,1,22,0,2.615357," ","integrate(coth(b*x+a)*csch(b*x+a)**2,x)","\begin{cases} - \frac{\operatorname{csch}^{2}{\left(a + b x \right)}}{2 b} & \text{for}\: b \neq 0 \\x \coth{\left(a \right)} \operatorname{csch}^{2}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-csch(a + b*x)**2/(2*b), Ne(b, 0)), (x*coth(a)*csch(a)**2, True))","A",0
114,0,0,0,0.000000," ","integrate(coth(b*x+a)*csch(b*x+a)**n,x)","\int \coth{\left(a + b x \right)} \operatorname{csch}^{n}{\left(a + b x \right)}\, dx"," ",0,"Integral(coth(a + b*x)*csch(a + b*x)**n, x)","F",0
115,0,0,0,0.000000," ","integrate(coth(b*x+a)**2*csch(b*x+a)**2,x)","\int \coth^{2}{\left(a + b x \right)} \operatorname{csch}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(coth(a + b*x)**2*csch(a + b*x)**2, x)","F",0
116,0,0,0,0.000000," ","integrate(coth(b*x+a)**3*csch(b*x+a)**2,x)","\int \coth^{3}{\left(a + b x \right)} \operatorname{csch}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(coth(a + b*x)**3*csch(a + b*x)**2, x)","F",0
117,0,0,0,0.000000," ","integrate(coth(b*x+a)**n*csch(b*x+a)**2,x)","\int \coth^{n}{\left(a + b x \right)} \operatorname{csch}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(coth(a + b*x)**n*csch(a + b*x)**2, x)","F",0
118,0,0,0,0.000000," ","integrate(coth(b*x+a)**3*csch(b*x+a),x)","\int \coth^{3}{\left(a + b x \right)} \operatorname{csch}{\left(a + b x \right)}\, dx"," ",0,"Integral(coth(a + b*x)**3*csch(a + b*x), x)","F",0
119,0,0,0,0.000000," ","integrate(coth(b*x+a)**3*csch(b*x+a)**3,x)","\int \coth^{3}{\left(a + b x \right)} \operatorname{csch}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(coth(a + b*x)**3*csch(a + b*x)**3, x)","F",0
120,0,0,0,0.000000," ","integrate(coth(b*x+a)**3*csch(b*x+a)**n,x)","\int \coth^{3}{\left(a + b x \right)} \operatorname{csch}^{n}{\left(a + b x \right)}\, dx"," ",0,"Integral(coth(a + b*x)**3*csch(a + b*x)**n, x)","F",0
121,0,0,0,0.000000," ","integrate(coth(b*x+a)**2*csch(b*x+a),x)","\int \coth^{2}{\left(a + b x \right)} \operatorname{csch}{\left(a + b x \right)}\, dx"," ",0,"Integral(coth(a + b*x)**2*csch(a + b*x), x)","F",0
122,0,0,0,0.000000," ","integrate(coth(b*x+a)**2*csch(b*x+a)**3,x)","\int \coth^{2}{\left(a + b x \right)} \operatorname{csch}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(coth(a + b*x)**2*csch(a + b*x)**3, x)","F",0
123,0,0,0,0.000000," ","integrate(coth(b*x+a)**4*csch(b*x+a),x)","\int \coth^{4}{\left(a + b x \right)} \operatorname{csch}{\left(a + b x \right)}\, dx"," ",0,"Integral(coth(a + b*x)**4*csch(a + b*x), x)","F",0
124,0,0,0,0.000000," ","integrate(coth(x)**2*csch(x)**4,x)","\int \coth^{2}{\left(x \right)} \operatorname{csch}^{4}{\left(x \right)}\, dx"," ",0,"Integral(coth(x)**2*csch(x)**4, x)","F",0
125,0,0,0,0.000000," ","integrate(coth(x)**3*csch(x)**4,x)","\int \coth^{3}{\left(x \right)} \operatorname{csch}^{4}{\left(x \right)}\, dx"," ",0,"Integral(coth(x)**3*csch(x)**4, x)","F",0
126,0,0,0,0.000000," ","integrate(coth(x)**n*csch(x)**4,x)","\int \coth^{n}{\left(x \right)} \operatorname{csch}^{4}{\left(x \right)}\, dx"," ",0,"Integral(coth(x)**n*csch(x)**4, x)","F",0
127,0,0,0,0.000000," ","integrate(coth(x)**4*csch(x)**3,x)","\int \coth^{4}{\left(x \right)} \operatorname{csch}^{3}{\left(x \right)}\, dx"," ",0,"Integral(coth(x)**4*csch(x)**3, x)","F",0
128,0,0,0,0.000000," ","integrate(coth(x)**4*csch(x)**6,x)","\int \coth^{4}{\left(x \right)} \operatorname{csch}^{6}{\left(x \right)}\, dx"," ",0,"Integral(coth(x)**4*csch(x)**6, x)","F",0
129,0,0,0,0.000000," ","integrate(coth(6*x)**5*csch(6*x),x)","\int \coth^{5}{\left(6 x \right)} \operatorname{csch}{\left(6 x \right)}\, dx"," ",0,"Integral(coth(6*x)**5*csch(6*x), x)","F",0
130,0,0,0,0.000000," ","integrate(coth(x)**7*csch(x)**3,x)","\int \coth^{7}{\left(x \right)} \operatorname{csch}^{3}{\left(x \right)}\, dx"," ",0,"Integral(coth(x)**7*csch(x)**3, x)","F",0
131,1,58,0,0.737174," ","integrate(sinh(b*x+a)*sinh(b*x+c),x)","\begin{cases} \frac{x \sinh{\left(a + b x \right)} \sinh{\left(b x + c \right)}}{2} - \frac{x \cosh{\left(a + b x \right)} \cosh{\left(b x + c \right)}}{2} + \frac{\sinh{\left(a + b x \right)} \cosh{\left(b x + c \right)}}{2 b} & \text{for}\: b \neq 0 \\x \sinh{\left(a \right)} \sinh{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*sinh(a + b*x)*sinh(b*x + c)/2 - x*cosh(a + b*x)*cosh(b*x + c)/2 + sinh(a + b*x)*cosh(b*x + c)/(2*b), Ne(b, 0)), (x*sinh(a)*sinh(c), True))","A",0
132,1,61,0,0.746170," ","integrate(-sinh(b*x-c)*sinh(b*x+a),x)","- \begin{cases} \frac{x \sinh{\left(a + b x \right)} \sinh{\left(b x - c \right)}}{2} - \frac{x \cosh{\left(a + b x \right)} \cosh{\left(b x - c \right)}}{2} + \frac{\sinh{\left(b x - c \right)} \cosh{\left(a + b x \right)}}{2 b} & \text{for}\: b \neq 0 \\- x \sinh{\left(a \right)} \sinh{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"-Piecewise((x*sinh(a + b*x)*sinh(b*x - c)/2 - x*cosh(a + b*x)*cosh(b*x - c)/2 + sinh(b*x - c)*cosh(a + b*x)/(2*b), Ne(b, 0)), (-x*sinh(a)*sinh(c), True))","A",0
133,1,58,0,0.738182," ","integrate(cosh(b*x+a)*cosh(b*x+c),x)","\begin{cases} - \frac{x \sinh{\left(a + b x \right)} \sinh{\left(b x + c \right)}}{2} + \frac{x \cosh{\left(a + b x \right)} \cosh{\left(b x + c \right)}}{2} + \frac{\sinh{\left(a + b x \right)} \cosh{\left(b x + c \right)}}{2 b} & \text{for}\: b \neq 0 \\x \cosh{\left(a \right)} \cosh{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-x*sinh(a + b*x)*sinh(b*x + c)/2 + x*cosh(a + b*x)*cosh(b*x + c)/2 + sinh(a + b*x)*cosh(b*x + c)/(2*b), Ne(b, 0)), (x*cosh(a)*cosh(c), True))","A",0
134,1,58,0,0.749658," ","integrate(cosh(b*x-c)*cosh(b*x+a),x)","\begin{cases} - \frac{x \sinh{\left(a + b x \right)} \sinh{\left(b x - c \right)}}{2} + \frac{x \cosh{\left(a + b x \right)} \cosh{\left(b x - c \right)}}{2} + \frac{\sinh{\left(b x - c \right)} \cosh{\left(a + b x \right)}}{2 b} & \text{for}\: b \neq 0 \\x \cosh{\left(a \right)} \cosh{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-x*sinh(a + b*x)*sinh(b*x - c)/2 + x*cosh(a + b*x)*cosh(b*x - c)/2 + sinh(b*x - c)*cosh(a + b*x)/(2*b), Ne(b, 0)), (x*cosh(a)*cosh(c), True))","A",0
135,0,0,0,0.000000," ","integrate(tanh(b*x+a)*tanh(b*x+c),x)","\int \tanh{\left(a + b x \right)} \tanh{\left(b x + c \right)}\, dx"," ",0,"Integral(tanh(a + b*x)*tanh(b*x + c), x)","F",0
136,0,0,0,0.000000," ","integrate(-tanh(b*x-c)*tanh(b*x+a),x)","- \int \tanh{\left(a + b x \right)} \tanh{\left(b x - c \right)}\, dx"," ",0,"-Integral(tanh(a + b*x)*tanh(b*x - c), x)","F",0
137,0,0,0,0.000000," ","integrate(coth(b*x+a)*coth(b*x+c),x)","\int \coth{\left(a + b x \right)} \coth{\left(b x + c \right)}\, dx"," ",0,"Integral(coth(a + b*x)*coth(b*x + c), x)","F",0
138,0,0,0,0.000000," ","integrate(-coth(b*x-c)*coth(b*x+a),x)","- \int \coth{\left(a + b x \right)} \coth{\left(b x - c \right)}\, dx"," ",0,"-Integral(coth(a + b*x)*coth(b*x - c), x)","F",0
139,0,0,0,0.000000," ","integrate(sech(b*x+a)*sech(b*x+c),x)","\int \operatorname{sech}{\left(a + b x \right)} \operatorname{sech}{\left(b x + c \right)}\, dx"," ",0,"Integral(sech(a + b*x)*sech(b*x + c), x)","F",0
140,0,0,0,0.000000," ","integrate(sech(b*x-c)*sech(b*x+a),x)","\int \operatorname{sech}{\left(a + b x \right)} \operatorname{sech}{\left(b x - c \right)}\, dx"," ",0,"Integral(sech(a + b*x)*sech(b*x - c), x)","F",0
141,0,0,0,0.000000," ","integrate(csch(b*x+a)*csch(b*x+c),x)","\int \operatorname{csch}{\left(a + b x \right)} \operatorname{csch}{\left(b x + c \right)}\, dx"," ",0,"Integral(csch(a + b*x)*csch(b*x + c), x)","F",0
142,0,0,0,0.000000," ","integrate(-csch(b*x-c)*csch(b*x+a),x)","- \int \operatorname{csch}{\left(a + b x \right)} \operatorname{csch}{\left(b x - c \right)}\, dx"," ",0,"-Integral(csch(a + b*x)*csch(b*x - c), x)","F",0
143,0,0,0,0.000000," ","integrate(sinh(b*x+a)*tanh(b*x+c),x)","\int \sinh{\left(a + b x \right)} \tanh{\left(b x + c \right)}\, dx"," ",0,"Integral(sinh(a + b*x)*tanh(b*x + c), x)","F",0
144,0,0,0,0.000000," ","integrate(sinh(b*x+a)*tanh(b*x+c)**2,x)","\int \sinh{\left(a + b x \right)} \tanh^{2}{\left(b x + c \right)}\, dx"," ",0,"Integral(sinh(a + b*x)*tanh(b*x + c)**2, x)","F",0
145,0,0,0,0.000000," ","integrate(sinh(b*x+a)*tanh(b*x+c)**3,x)","\int \sinh{\left(a + b x \right)} \tanh^{3}{\left(b x + c \right)}\, dx"," ",0,"Integral(sinh(a + b*x)*tanh(b*x + c)**3, x)","F",0
146,0,0,0,0.000000," ","integrate(coth(b*x+c)*sinh(b*x+a),x)","\int \sinh{\left(a + b x \right)} \coth{\left(b x + c \right)}\, dx"," ",0,"Integral(sinh(a + b*x)*coth(b*x + c), x)","F",0
147,0,0,0,0.000000," ","integrate(coth(b*x+c)**2*sinh(b*x+a),x)","\int \sinh{\left(a + b x \right)} \coth^{2}{\left(b x + c \right)}\, dx"," ",0,"Integral(sinh(a + b*x)*coth(b*x + c)**2, x)","F",0
148,0,0,0,0.000000," ","integrate(coth(b*x+c)**3*sinh(b*x+a),x)","\int \sinh{\left(a + b x \right)} \coth^{3}{\left(b x + c \right)}\, dx"," ",0,"Integral(sinh(a + b*x)*coth(b*x + c)**3, x)","F",0
149,0,0,0,0.000000," ","integrate(sech(b*x+c)*sinh(b*x+a),x)","\int \sinh{\left(a + b x \right)} \operatorname{sech}{\left(b x + c \right)}\, dx"," ",0,"Integral(sinh(a + b*x)*sech(b*x + c), x)","F",0
150,0,0,0,0.000000," ","integrate(sech(b*x+c)**2*sinh(b*x+a),x)","\int \sinh{\left(a + b x \right)} \operatorname{sech}^{2}{\left(b x + c \right)}\, dx"," ",0,"Integral(sinh(a + b*x)*sech(b*x + c)**2, x)","F",0
151,0,0,0,0.000000," ","integrate(sech(b*x+c)**3*sinh(b*x+a),x)","\int \sinh{\left(a + b x \right)} \operatorname{sech}^{3}{\left(b x + c \right)}\, dx"," ",0,"Integral(sinh(a + b*x)*sech(b*x + c)**3, x)","F",0
152,0,0,0,0.000000," ","integrate(csch(b*x+c)*sinh(b*x+a),x)","\int \sinh{\left(a + b x \right)} \operatorname{csch}{\left(b x + c \right)}\, dx"," ",0,"Integral(sinh(a + b*x)*csch(b*x + c), x)","F",0
153,0,0,0,0.000000," ","integrate(csch(b*x+c)**2*sinh(b*x+a),x)","\int \sinh{\left(a + b x \right)} \operatorname{csch}^{2}{\left(b x + c \right)}\, dx"," ",0,"Integral(sinh(a + b*x)*csch(b*x + c)**2, x)","F",0
154,0,0,0,0.000000," ","integrate(csch(b*x+c)**3*sinh(b*x+a),x)","\int \sinh{\left(a + b x \right)} \operatorname{csch}^{3}{\left(b x + c \right)}\, dx"," ",0,"Integral(sinh(a + b*x)*csch(b*x + c)**3, x)","F",0
155,0,0,0,0.000000," ","integrate(cosh(b*x+a)*tanh(b*x+c),x)","\int \cosh{\left(a + b x \right)} \tanh{\left(b x + c \right)}\, dx"," ",0,"Integral(cosh(a + b*x)*tanh(b*x + c), x)","F",0
156,0,0,0,0.000000," ","integrate(cosh(b*x+a)*tanh(b*x+c)**2,x)","\int \cosh{\left(a + b x \right)} \tanh^{2}{\left(b x + c \right)}\, dx"," ",0,"Integral(cosh(a + b*x)*tanh(b*x + c)**2, x)","F",0
157,0,0,0,0.000000," ","integrate(cosh(b*x+a)*tanh(b*x+c)**3,x)","\int \cosh{\left(a + b x \right)} \tanh^{3}{\left(b x + c \right)}\, dx"," ",0,"Integral(cosh(a + b*x)*tanh(b*x + c)**3, x)","F",0
158,0,0,0,0.000000," ","integrate(cosh(b*x+a)*coth(b*x+c),x)","\int \cosh{\left(a + b x \right)} \coth{\left(b x + c \right)}\, dx"," ",0,"Integral(cosh(a + b*x)*coth(b*x + c), x)","F",0
159,0,0,0,0.000000," ","integrate(cosh(b*x+a)*coth(b*x+c)**2,x)","\int \cosh{\left(a + b x \right)} \coth^{2}{\left(b x + c \right)}\, dx"," ",0,"Integral(cosh(a + b*x)*coth(b*x + c)**2, x)","F",0
160,0,0,0,0.000000," ","integrate(cosh(b*x+a)*coth(b*x+c)**3,x)","\int \cosh{\left(a + b x \right)} \coth^{3}{\left(b x + c \right)}\, dx"," ",0,"Integral(cosh(a + b*x)*coth(b*x + c)**3, x)","F",0
161,0,0,0,0.000000," ","integrate(cosh(b*x+a)*sech(b*x+c),x)","\int \cosh{\left(a + b x \right)} \operatorname{sech}{\left(b x + c \right)}\, dx"," ",0,"Integral(cosh(a + b*x)*sech(b*x + c), x)","F",0
162,0,0,0,0.000000," ","integrate(cosh(b*x+a)*sech(b*x+c)**2,x)","\int \cosh{\left(a + b x \right)} \operatorname{sech}^{2}{\left(b x + c \right)}\, dx"," ",0,"Integral(cosh(a + b*x)*sech(b*x + c)**2, x)","F",0
163,0,0,0,0.000000," ","integrate(cosh(b*x+a)*sech(b*x+c)**3,x)","\int \cosh{\left(a + b x \right)} \operatorname{sech}^{3}{\left(b x + c \right)}\, dx"," ",0,"Integral(cosh(a + b*x)*sech(b*x + c)**3, x)","F",0
164,0,0,0,0.000000," ","integrate(cosh(b*x+a)*csch(b*x+c),x)","\int \cosh{\left(a + b x \right)} \operatorname{csch}{\left(b x + c \right)}\, dx"," ",0,"Integral(cosh(a + b*x)*csch(b*x + c), x)","F",0
165,0,0,0,0.000000," ","integrate(cosh(b*x+a)*csch(b*x+c)**2,x)","\int \cosh{\left(a + b x \right)} \operatorname{csch}^{2}{\left(b x + c \right)}\, dx"," ",0,"Integral(cosh(a + b*x)*csch(b*x + c)**2, x)","F",0
166,0,0,0,0.000000," ","integrate(cosh(b*x+a)*csch(b*x+c)**3,x)","\int \cosh{\left(a + b x \right)} \operatorname{csch}^{3}{\left(b x + c \right)}\, dx"," ",0,"Integral(cosh(a + b*x)*csch(b*x + c)**3, x)","F",0
167,1,153,0,1.467865," ","integrate(sinh(b*x+a)*sinh(d*x+c),x)","\begin{cases} x \sinh{\left(a \right)} \sinh{\left(c \right)} & \text{for}\: b = 0 \wedge d = 0 \\\frac{x \sinh{\left(a - d x \right)} \sinh{\left(c + d x \right)}}{2} + \frac{x \cosh{\left(a - d x \right)} \cosh{\left(c + d x \right)}}{2} - \frac{\sinh{\left(c + d x \right)} \cosh{\left(a - d x \right)}}{2 d} & \text{for}\: b = - d \\\frac{x \sinh{\left(a + d x \right)} \sinh{\left(c + d x \right)}}{2} - \frac{x \cosh{\left(a + d x \right)} \cosh{\left(c + d x \right)}}{2} + \frac{\sinh{\left(c + d x \right)} \cosh{\left(a + d x \right)}}{2 d} & \text{for}\: b = d \\\frac{b \sinh{\left(c + d x \right)} \cosh{\left(a + b x \right)}}{b^{2} - d^{2}} - \frac{d \sinh{\left(a + b x \right)} \cosh{\left(c + d x \right)}}{b^{2} - d^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*sinh(a)*sinh(c), Eq(b, 0) & Eq(d, 0)), (x*sinh(a - d*x)*sinh(c + d*x)/2 + x*cosh(a - d*x)*cosh(c + d*x)/2 - sinh(c + d*x)*cosh(a - d*x)/(2*d), Eq(b, -d)), (x*sinh(a + d*x)*sinh(c + d*x)/2 - x*cosh(a + d*x)*cosh(c + d*x)/2 + sinh(c + d*x)*cosh(a + d*x)/(2*d), Eq(b, d)), (b*sinh(c + d*x)*cosh(a + b*x)/(b**2 - d**2) - d*sinh(a + b*x)*cosh(c + d*x)/(b**2 - d**2), True))","A",0
168,1,405,0,6.353908," ","integrate(sinh(b*x+a)*sinh(d*x+c)**2,x)","\begin{cases} x \sinh{\left(a \right)} \sinh^{2}{\left(c \right)} & \text{for}\: b = 0 \wedge d = 0 \\\left(\frac{x \sinh^{2}{\left(c + d x \right)}}{2} - \frac{x \cosh^{2}{\left(c + d x \right)}}{2} + \frac{\sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{2 d}\right) \sinh{\left(a \right)} & \text{for}\: b = 0 \\\frac{x \sinh{\left(a - 2 d x \right)} \sinh^{2}{\left(c + d x \right)}}{4} + \frac{x \sinh{\left(a - 2 d x \right)} \cosh^{2}{\left(c + d x \right)}}{4} + \frac{x \sinh{\left(c + d x \right)} \cosh{\left(a - 2 d x \right)} \cosh{\left(c + d x \right)}}{2} - \frac{\sinh{\left(a - 2 d x \right)} \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{4 d} - \frac{\sinh^{2}{\left(c + d x \right)} \cosh{\left(a - 2 d x \right)}}{2 d} & \text{for}\: b = - 2 d \\\frac{x \sinh{\left(a + 2 d x \right)} \sinh^{2}{\left(c + d x \right)}}{4} + \frac{x \sinh{\left(a + 2 d x \right)} \cosh^{2}{\left(c + d x \right)}}{4} - \frac{x \sinh{\left(c + d x \right)} \cosh{\left(a + 2 d x \right)} \cosh{\left(c + d x \right)}}{2} - \frac{\sinh{\left(a + 2 d x \right)} \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{4 d} + \frac{\sinh^{2}{\left(c + d x \right)} \cosh{\left(a + 2 d x \right)}}{2 d} & \text{for}\: b = 2 d \\\frac{b^{2} \sinh^{2}{\left(c + d x \right)} \cosh{\left(a + b x \right)}}{b^{3} - 4 b d^{2}} - \frac{2 b d \sinh{\left(a + b x \right)} \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{b^{3} - 4 b d^{2}} - \frac{2 d^{2} \sinh^{2}{\left(c + d x \right)} \cosh{\left(a + b x \right)}}{b^{3} - 4 b d^{2}} + \frac{2 d^{2} \cosh{\left(a + b x \right)} \cosh^{2}{\left(c + d x \right)}}{b^{3} - 4 b d^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*sinh(a)*sinh(c)**2, Eq(b, 0) & Eq(d, 0)), ((x*sinh(c + d*x)**2/2 - x*cosh(c + d*x)**2/2 + sinh(c + d*x)*cosh(c + d*x)/(2*d))*sinh(a), Eq(b, 0)), (x*sinh(a - 2*d*x)*sinh(c + d*x)**2/4 + x*sinh(a - 2*d*x)*cosh(c + d*x)**2/4 + x*sinh(c + d*x)*cosh(a - 2*d*x)*cosh(c + d*x)/2 - sinh(a - 2*d*x)*sinh(c + d*x)*cosh(c + d*x)/(4*d) - sinh(c + d*x)**2*cosh(a - 2*d*x)/(2*d), Eq(b, -2*d)), (x*sinh(a + 2*d*x)*sinh(c + d*x)**2/4 + x*sinh(a + 2*d*x)*cosh(c + d*x)**2/4 - x*sinh(c + d*x)*cosh(a + 2*d*x)*cosh(c + d*x)/2 - sinh(a + 2*d*x)*sinh(c + d*x)*cosh(c + d*x)/(4*d) + sinh(c + d*x)**2*cosh(a + 2*d*x)/(2*d), Eq(b, 2*d)), (b**2*sinh(c + d*x)**2*cosh(a + b*x)/(b**3 - 4*b*d**2) - 2*b*d*sinh(a + b*x)*sinh(c + d*x)*cosh(c + d*x)/(b**3 - 4*b*d**2) - 2*d**2*sinh(c + d*x)**2*cosh(a + b*x)/(b**3 - 4*b*d**2) + 2*d**2*cosh(a + b*x)*cosh(c + d*x)**2/(b**3 - 4*b*d**2), True))","A",0
169,1,918,0,30.310590," ","integrate(sinh(b*x+a)*sinh(d*x+c)**3,x)","\begin{cases} x \sinh{\left(a \right)} \sinh^{3}{\left(c \right)} & \text{for}\: b = 0 \wedge d = 0 \\\frac{x \sinh{\left(a - 3 d x \right)} \sinh^{3}{\left(c + d x \right)}}{8} + \frac{3 x \sinh{\left(a - 3 d x \right)} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{8} + \frac{3 x \sinh^{2}{\left(c + d x \right)} \cosh{\left(a - 3 d x \right)} \cosh{\left(c + d x \right)}}{8} + \frac{x \cosh{\left(a - 3 d x \right)} \cosh^{3}{\left(c + d x \right)}}{8} - \frac{\sinh{\left(a - 3 d x \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{4 d} + \frac{\sinh{\left(a - 3 d x \right)} \cosh^{3}{\left(c + d x \right)}}{24 d} - \frac{3 \sinh^{3}{\left(c + d x \right)} \cosh{\left(a - 3 d x \right)}}{8 d} & \text{for}\: b = - 3 d \\\frac{3 x \sinh{\left(a - d x \right)} \sinh^{3}{\left(c + d x \right)}}{8} - \frac{3 x \sinh{\left(a - d x \right)} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{8} + \frac{3 x \sinh^{2}{\left(c + d x \right)} \cosh{\left(a - d x \right)} \cosh{\left(c + d x \right)}}{8} - \frac{3 x \cosh{\left(a - d x \right)} \cosh^{3}{\left(c + d x \right)}}{8} + \frac{3 \sinh{\left(a - d x \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{4 d} - \frac{3 \sinh{\left(a - d x \right)} \cosh^{3}{\left(c + d x \right)}}{8 d} + \frac{\sinh^{3}{\left(c + d x \right)} \cosh{\left(a - d x \right)}}{8 d} & \text{for}\: b = - d \\\frac{3 x \sinh{\left(a + d x \right)} \sinh^{3}{\left(c + d x \right)}}{8} - \frac{3 x \sinh{\left(a + d x \right)} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{8} - \frac{3 x \sinh^{2}{\left(c + d x \right)} \cosh{\left(a + d x \right)} \cosh{\left(c + d x \right)}}{8} + \frac{3 x \cosh{\left(a + d x \right)} \cosh^{3}{\left(c + d x \right)}}{8} + \frac{3 \sinh{\left(a + d x \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{4 d} - \frac{3 \sinh{\left(a + d x \right)} \cosh^{3}{\left(c + d x \right)}}{8 d} - \frac{\sinh^{3}{\left(c + d x \right)} \cosh{\left(a + d x \right)}}{8 d} & \text{for}\: b = d \\\frac{x \sinh{\left(a + 3 d x \right)} \sinh^{3}{\left(c + d x \right)}}{8} + \frac{3 x \sinh{\left(a + 3 d x \right)} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{8} - \frac{3 x \sinh^{2}{\left(c + d x \right)} \cosh{\left(a + 3 d x \right)} \cosh{\left(c + d x \right)}}{8} - \frac{x \cosh{\left(a + 3 d x \right)} \cosh^{3}{\left(c + d x \right)}}{8} - \frac{\sinh{\left(a + 3 d x \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{4 d} + \frac{\sinh{\left(a + 3 d x \right)} \cosh^{3}{\left(c + d x \right)}}{24 d} + \frac{3 \sinh^{3}{\left(c + d x \right)} \cosh{\left(a + 3 d x \right)}}{8 d} & \text{for}\: b = 3 d \\\frac{b^{3} \sinh^{3}{\left(c + d x \right)} \cosh{\left(a + b x \right)}}{b^{4} - 10 b^{2} d^{2} + 9 d^{4}} - \frac{3 b^{2} d \sinh{\left(a + b x \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{b^{4} - 10 b^{2} d^{2} + 9 d^{4}} - \frac{7 b d^{2} \sinh^{3}{\left(c + d x \right)} \cosh{\left(a + b x \right)}}{b^{4} - 10 b^{2} d^{2} + 9 d^{4}} + \frac{6 b d^{2} \sinh{\left(c + d x \right)} \cosh{\left(a + b x \right)} \cosh^{2}{\left(c + d x \right)}}{b^{4} - 10 b^{2} d^{2} + 9 d^{4}} + \frac{9 d^{3} \sinh{\left(a + b x \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{b^{4} - 10 b^{2} d^{2} + 9 d^{4}} - \frac{6 d^{3} \sinh{\left(a + b x \right)} \cosh^{3}{\left(c + d x \right)}}{b^{4} - 10 b^{2} d^{2} + 9 d^{4}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*sinh(a)*sinh(c)**3, Eq(b, 0) & Eq(d, 0)), (x*sinh(a - 3*d*x)*sinh(c + d*x)**3/8 + 3*x*sinh(a - 3*d*x)*sinh(c + d*x)*cosh(c + d*x)**2/8 + 3*x*sinh(c + d*x)**2*cosh(a - 3*d*x)*cosh(c + d*x)/8 + x*cosh(a - 3*d*x)*cosh(c + d*x)**3/8 - sinh(a - 3*d*x)*sinh(c + d*x)**2*cosh(c + d*x)/(4*d) + sinh(a - 3*d*x)*cosh(c + d*x)**3/(24*d) - 3*sinh(c + d*x)**3*cosh(a - 3*d*x)/(8*d), Eq(b, -3*d)), (3*x*sinh(a - d*x)*sinh(c + d*x)**3/8 - 3*x*sinh(a - d*x)*sinh(c + d*x)*cosh(c + d*x)**2/8 + 3*x*sinh(c + d*x)**2*cosh(a - d*x)*cosh(c + d*x)/8 - 3*x*cosh(a - d*x)*cosh(c + d*x)**3/8 + 3*sinh(a - d*x)*sinh(c + d*x)**2*cosh(c + d*x)/(4*d) - 3*sinh(a - d*x)*cosh(c + d*x)**3/(8*d) + sinh(c + d*x)**3*cosh(a - d*x)/(8*d), Eq(b, -d)), (3*x*sinh(a + d*x)*sinh(c + d*x)**3/8 - 3*x*sinh(a + d*x)*sinh(c + d*x)*cosh(c + d*x)**2/8 - 3*x*sinh(c + d*x)**2*cosh(a + d*x)*cosh(c + d*x)/8 + 3*x*cosh(a + d*x)*cosh(c + d*x)**3/8 + 3*sinh(a + d*x)*sinh(c + d*x)**2*cosh(c + d*x)/(4*d) - 3*sinh(a + d*x)*cosh(c + d*x)**3/(8*d) - sinh(c + d*x)**3*cosh(a + d*x)/(8*d), Eq(b, d)), (x*sinh(a + 3*d*x)*sinh(c + d*x)**3/8 + 3*x*sinh(a + 3*d*x)*sinh(c + d*x)*cosh(c + d*x)**2/8 - 3*x*sinh(c + d*x)**2*cosh(a + 3*d*x)*cosh(c + d*x)/8 - x*cosh(a + 3*d*x)*cosh(c + d*x)**3/8 - sinh(a + 3*d*x)*sinh(c + d*x)**2*cosh(c + d*x)/(4*d) + sinh(a + 3*d*x)*cosh(c + d*x)**3/(24*d) + 3*sinh(c + d*x)**3*cosh(a + 3*d*x)/(8*d), Eq(b, 3*d)), (b**3*sinh(c + d*x)**3*cosh(a + b*x)/(b**4 - 10*b**2*d**2 + 9*d**4) - 3*b**2*d*sinh(a + b*x)*sinh(c + d*x)**2*cosh(c + d*x)/(b**4 - 10*b**2*d**2 + 9*d**4) - 7*b*d**2*sinh(c + d*x)**3*cosh(a + b*x)/(b**4 - 10*b**2*d**2 + 9*d**4) + 6*b*d**2*sinh(c + d*x)*cosh(a + b*x)*cosh(c + d*x)**2/(b**4 - 10*b**2*d**2 + 9*d**4) + 9*d**3*sinh(a + b*x)*sinh(c + d*x)**2*cosh(c + d*x)/(b**4 - 10*b**2*d**2 + 9*d**4) - 6*d**3*sinh(a + b*x)*cosh(c + d*x)**3/(b**4 - 10*b**2*d**2 + 9*d**4), True))","A",0
170,1,1027,0,21.615897," ","integrate(sinh(b*x+a)**2*sinh(d*x+c)**2,x)","\begin{cases} x \sinh^{2}{\left(a \right)} \sinh^{2}{\left(c \right)} & \text{for}\: b = 0 \wedge d = 0 \\\left(\frac{x \sinh^{2}{\left(c + d x \right)}}{2} - \frac{x \cosh^{2}{\left(c + d x \right)}}{2} + \frac{\sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{2 d}\right) \sinh^{2}{\left(a \right)} & \text{for}\: b = 0 \\\frac{3 x \sinh^{2}{\left(a - d x \right)} \sinh^{2}{\left(c + d x \right)}}{8} - \frac{x \sinh^{2}{\left(a - d x \right)} \cosh^{2}{\left(c + d x \right)}}{8} + \frac{x \sinh{\left(a - d x \right)} \sinh{\left(c + d x \right)} \cosh{\left(a - d x \right)} \cosh{\left(c + d x \right)}}{2} - \frac{x \sinh^{2}{\left(c + d x \right)} \cosh^{2}{\left(a - d x \right)}}{8} + \frac{3 x \cosh^{2}{\left(a - d x \right)} \cosh^{2}{\left(c + d x \right)}}{8} + \frac{\sinh^{2}{\left(a - d x \right)} \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{8 d} - \frac{\sinh{\left(a - d x \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(a - d x \right)}}{2 d} - \frac{3 \sinh{\left(c + d x \right)} \cosh^{2}{\left(a - d x \right)} \cosh{\left(c + d x \right)}}{8 d} & \text{for}\: b = - d \\\frac{3 x \sinh^{2}{\left(a + d x \right)} \sinh^{2}{\left(c + d x \right)}}{8} - \frac{x \sinh^{2}{\left(a + d x \right)} \cosh^{2}{\left(c + d x \right)}}{8} - \frac{x \sinh{\left(a + d x \right)} \sinh{\left(c + d x \right)} \cosh{\left(a + d x \right)} \cosh{\left(c + d x \right)}}{2} - \frac{x \sinh^{2}{\left(c + d x \right)} \cosh^{2}{\left(a + d x \right)}}{8} + \frac{3 x \cosh^{2}{\left(a + d x \right)} \cosh^{2}{\left(c + d x \right)}}{8} + \frac{5 \sinh{\left(a + d x \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(a + d x \right)}}{8 d} + \frac{\sinh{\left(a + d x \right)} \cosh{\left(a + d x \right)} \cosh^{2}{\left(c + d x \right)}}{8 d} - \frac{\sinh{\left(c + d x \right)} \cosh^{2}{\left(a + d x \right)} \cosh{\left(c + d x \right)}}{2 d} & \text{for}\: b = d \\\left(\frac{x \sinh^{2}{\left(a + b x \right)}}{2} - \frac{x \cosh^{2}{\left(a + b x \right)}}{2} + \frac{\sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{2 b}\right) \sinh^{2}{\left(c \right)} & \text{for}\: d = 0 \\\frac{b^{3} d x \sinh^{2}{\left(a + b x \right)} \sinh^{2}{\left(c + d x \right)}}{4 b^{3} d - 4 b d^{3}} - \frac{b^{3} d x \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(c + d x \right)}}{4 b^{3} d - 4 b d^{3}} - \frac{b^{3} d x \sinh^{2}{\left(c + d x \right)} \cosh^{2}{\left(a + b x \right)}}{4 b^{3} d - 4 b d^{3}} + \frac{b^{3} d x \cosh^{2}{\left(a + b x \right)} \cosh^{2}{\left(c + d x \right)}}{4 b^{3} d - 4 b d^{3}} + \frac{b^{3} \sinh^{2}{\left(a + b x \right)} \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{4 b^{3} d - 4 b d^{3}} - \frac{b^{3} \sinh{\left(c + d x \right)} \cosh^{2}{\left(a + b x \right)} \cosh{\left(c + d x \right)}}{4 b^{3} d - 4 b d^{3}} + \frac{2 b^{2} d \sinh{\left(a + b x \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(a + b x \right)}}{4 b^{3} d - 4 b d^{3}} - \frac{b d^{3} x \sinh^{2}{\left(a + b x \right)} \sinh^{2}{\left(c + d x \right)}}{4 b^{3} d - 4 b d^{3}} + \frac{b d^{3} x \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(c + d x \right)}}{4 b^{3} d - 4 b d^{3}} + \frac{b d^{3} x \sinh^{2}{\left(c + d x \right)} \cosh^{2}{\left(a + b x \right)}}{4 b^{3} d - 4 b d^{3}} - \frac{b d^{3} x \cosh^{2}{\left(a + b x \right)} \cosh^{2}{\left(c + d x \right)}}{4 b^{3} d - 4 b d^{3}} - \frac{2 b d^{2} \sinh^{2}{\left(a + b x \right)} \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{4 b^{3} d - 4 b d^{3}} - \frac{d^{3} \sinh{\left(a + b x \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(a + b x \right)}}{4 b^{3} d - 4 b d^{3}} + \frac{d^{3} \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)} \cosh^{2}{\left(c + d x \right)}}{4 b^{3} d - 4 b d^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*sinh(a)**2*sinh(c)**2, Eq(b, 0) & Eq(d, 0)), ((x*sinh(c + d*x)**2/2 - x*cosh(c + d*x)**2/2 + sinh(c + d*x)*cosh(c + d*x)/(2*d))*sinh(a)**2, Eq(b, 0)), (3*x*sinh(a - d*x)**2*sinh(c + d*x)**2/8 - x*sinh(a - d*x)**2*cosh(c + d*x)**2/8 + x*sinh(a - d*x)*sinh(c + d*x)*cosh(a - d*x)*cosh(c + d*x)/2 - x*sinh(c + d*x)**2*cosh(a - d*x)**2/8 + 3*x*cosh(a - d*x)**2*cosh(c + d*x)**2/8 + sinh(a - d*x)**2*sinh(c + d*x)*cosh(c + d*x)/(8*d) - sinh(a - d*x)*sinh(c + d*x)**2*cosh(a - d*x)/(2*d) - 3*sinh(c + d*x)*cosh(a - d*x)**2*cosh(c + d*x)/(8*d), Eq(b, -d)), (3*x*sinh(a + d*x)**2*sinh(c + d*x)**2/8 - x*sinh(a + d*x)**2*cosh(c + d*x)**2/8 - x*sinh(a + d*x)*sinh(c + d*x)*cosh(a + d*x)*cosh(c + d*x)/2 - x*sinh(c + d*x)**2*cosh(a + d*x)**2/8 + 3*x*cosh(a + d*x)**2*cosh(c + d*x)**2/8 + 5*sinh(a + d*x)*sinh(c + d*x)**2*cosh(a + d*x)/(8*d) + sinh(a + d*x)*cosh(a + d*x)*cosh(c + d*x)**2/(8*d) - sinh(c + d*x)*cosh(a + d*x)**2*cosh(c + d*x)/(2*d), Eq(b, d)), ((x*sinh(a + b*x)**2/2 - x*cosh(a + b*x)**2/2 + sinh(a + b*x)*cosh(a + b*x)/(2*b))*sinh(c)**2, Eq(d, 0)), (b**3*d*x*sinh(a + b*x)**2*sinh(c + d*x)**2/(4*b**3*d - 4*b*d**3) - b**3*d*x*sinh(a + b*x)**2*cosh(c + d*x)**2/(4*b**3*d - 4*b*d**3) - b**3*d*x*sinh(c + d*x)**2*cosh(a + b*x)**2/(4*b**3*d - 4*b*d**3) + b**3*d*x*cosh(a + b*x)**2*cosh(c + d*x)**2/(4*b**3*d - 4*b*d**3) + b**3*sinh(a + b*x)**2*sinh(c + d*x)*cosh(c + d*x)/(4*b**3*d - 4*b*d**3) - b**3*sinh(c + d*x)*cosh(a + b*x)**2*cosh(c + d*x)/(4*b**3*d - 4*b*d**3) + 2*b**2*d*sinh(a + b*x)*sinh(c + d*x)**2*cosh(a + b*x)/(4*b**3*d - 4*b*d**3) - b*d**3*x*sinh(a + b*x)**2*sinh(c + d*x)**2/(4*b**3*d - 4*b*d**3) + b*d**3*x*sinh(a + b*x)**2*cosh(c + d*x)**2/(4*b**3*d - 4*b*d**3) + b*d**3*x*sinh(c + d*x)**2*cosh(a + b*x)**2/(4*b**3*d - 4*b*d**3) - b*d**3*x*cosh(a + b*x)**2*cosh(c + d*x)**2/(4*b**3*d - 4*b*d**3) - 2*b*d**2*sinh(a + b*x)**2*sinh(c + d*x)*cosh(c + d*x)/(4*b**3*d - 4*b*d**3) - d**3*sinh(a + b*x)*sinh(c + d*x)**2*cosh(a + b*x)/(4*b**3*d - 4*b*d**3) + d**3*sinh(a + b*x)*cosh(a + b*x)*cosh(c + d*x)**2/(4*b**3*d - 4*b*d**3), True))","A",0
171,1,2006,0,109.063042," ","integrate(sinh(b*x+a)**2*sinh(d*x+c)**3,x)","\begin{cases} x \sinh^{2}{\left(a \right)} \sinh^{3}{\left(c \right)} & \text{for}\: b = 0 \wedge d = 0 \\\frac{x \sinh^{2}{\left(a - \frac{3 d x}{2} \right)} \sinh^{3}{\left(c + d x \right)}}{16} + \frac{3 x \sinh^{2}{\left(a - \frac{3 d x}{2} \right)} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{16} + \frac{3 x \sinh{\left(a - \frac{3 d x}{2} \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(a - \frac{3 d x}{2} \right)} \cosh{\left(c + d x \right)}}{8} + \frac{x \sinh{\left(a - \frac{3 d x}{2} \right)} \cosh{\left(a - \frac{3 d x}{2} \right)} \cosh^{3}{\left(c + d x \right)}}{8} + \frac{x \sinh^{3}{\left(c + d x \right)} \cosh^{2}{\left(a - \frac{3 d x}{2} \right)}}{16} + \frac{3 x \sinh{\left(c + d x \right)} \cosh^{2}{\left(a - \frac{3 d x}{2} \right)} \cosh^{2}{\left(c + d x \right)}}{16} + \frac{\sinh^{2}{\left(a - \frac{3 d x}{2} \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{d} - \frac{5 \sinh^{2}{\left(a - \frac{3 d x}{2} \right)} \cosh^{3}{\left(c + d x \right)}}{48 d} + \frac{\sinh{\left(a - \frac{3 d x}{2} \right)} \sinh^{3}{\left(c + d x \right)} \cosh{\left(a - \frac{3 d x}{2} \right)}}{24 d} + \frac{5 \sinh{\left(a - \frac{3 d x}{2} \right)} \sinh{\left(c + d x \right)} \cosh{\left(a - \frac{3 d x}{2} \right)} \cosh^{2}{\left(c + d x \right)}}{4 d} + \frac{9 \cosh^{2}{\left(a - \frac{3 d x}{2} \right)} \cosh^{3}{\left(c + d x \right)}}{16 d} & \text{for}\: b = - \frac{3 d}{2} \\\frac{3 x \sinh^{2}{\left(a - \frac{d x}{2} \right)} \sinh^{3}{\left(c + d x \right)}}{16} - \frac{3 x \sinh^{2}{\left(a - \frac{d x}{2} \right)} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{16} + \frac{3 x \sinh{\left(a - \frac{d x}{2} \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(a - \frac{d x}{2} \right)} \cosh{\left(c + d x \right)}}{8} - \frac{3 x \sinh{\left(a - \frac{d x}{2} \right)} \cosh{\left(a - \frac{d x}{2} \right)} \cosh^{3}{\left(c + d x \right)}}{8} + \frac{3 x \sinh^{3}{\left(c + d x \right)} \cosh^{2}{\left(a - \frac{d x}{2} \right)}}{16} - \frac{3 x \sinh{\left(c + d x \right)} \cosh^{2}{\left(a - \frac{d x}{2} \right)} \cosh^{2}{\left(c + d x \right)}}{16} + \frac{17 \sinh^{2}{\left(a - \frac{d x}{2} \right)} \cosh^{3}{\left(c + d x \right)}}{48 d} - \frac{13 \sinh{\left(a - \frac{d x}{2} \right)} \sinh^{3}{\left(c + d x \right)} \cosh{\left(a - \frac{d x}{2} \right)}}{8 d} + \frac{7 \sinh{\left(a - \frac{d x}{2} \right)} \sinh{\left(c + d x \right)} \cosh{\left(a - \frac{d x}{2} \right)} \cosh^{2}{\left(c + d x \right)}}{4 d} - \frac{\sinh^{2}{\left(c + d x \right)} \cosh^{2}{\left(a - \frac{d x}{2} \right)} \cosh{\left(c + d x \right)}}{d} + \frac{49 \cosh^{2}{\left(a - \frac{d x}{2} \right)} \cosh^{3}{\left(c + d x \right)}}{48 d} & \text{for}\: b = - \frac{d}{2} \\\frac{3 x \sinh^{2}{\left(a + \frac{d x}{2} \right)} \sinh^{3}{\left(c + d x \right)}}{16} - \frac{3 x \sinh^{2}{\left(a + \frac{d x}{2} \right)} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{16} - \frac{3 x \sinh{\left(a + \frac{d x}{2} \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(a + \frac{d x}{2} \right)} \cosh{\left(c + d x \right)}}{8} + \frac{3 x \sinh{\left(a + \frac{d x}{2} \right)} \cosh{\left(a + \frac{d x}{2} \right)} \cosh^{3}{\left(c + d x \right)}}{8} + \frac{3 x \sinh^{3}{\left(c + d x \right)} \cosh^{2}{\left(a + \frac{d x}{2} \right)}}{16} - \frac{3 x \sinh{\left(c + d x \right)} \cosh^{2}{\left(a + \frac{d x}{2} \right)} \cosh^{2}{\left(c + d x \right)}}{16} + \frac{17 \sinh^{2}{\left(a + \frac{d x}{2} \right)} \cosh^{3}{\left(c + d x \right)}}{48 d} + \frac{13 \sinh{\left(a + \frac{d x}{2} \right)} \sinh^{3}{\left(c + d x \right)} \cosh{\left(a + \frac{d x}{2} \right)}}{8 d} - \frac{7 \sinh{\left(a + \frac{d x}{2} \right)} \sinh{\left(c + d x \right)} \cosh{\left(a + \frac{d x}{2} \right)} \cosh^{2}{\left(c + d x \right)}}{4 d} - \frac{\sinh^{2}{\left(c + d x \right)} \cosh^{2}{\left(a + \frac{d x}{2} \right)} \cosh{\left(c + d x \right)}}{d} + \frac{49 \cosh^{2}{\left(a + \frac{d x}{2} \right)} \cosh^{3}{\left(c + d x \right)}}{48 d} & \text{for}\: b = \frac{d}{2} \\\frac{x \sinh^{2}{\left(a + \frac{3 d x}{2} \right)} \sinh^{3}{\left(c + d x \right)}}{16} + \frac{3 x \sinh^{2}{\left(a + \frac{3 d x}{2} \right)} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{16} - \frac{3 x \sinh{\left(a + \frac{3 d x}{2} \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(a + \frac{3 d x}{2} \right)} \cosh{\left(c + d x \right)}}{8} - \frac{x \sinh{\left(a + \frac{3 d x}{2} \right)} \cosh{\left(a + \frac{3 d x}{2} \right)} \cosh^{3}{\left(c + d x \right)}}{8} + \frac{x \sinh^{3}{\left(c + d x \right)} \cosh^{2}{\left(a + \frac{3 d x}{2} \right)}}{16} + \frac{3 x \sinh{\left(c + d x \right)} \cosh^{2}{\left(a + \frac{3 d x}{2} \right)} \cosh^{2}{\left(c + d x \right)}}{16} + \frac{\sinh^{2}{\left(a + \frac{3 d x}{2} \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{d} - \frac{5 \sinh^{2}{\left(a + \frac{3 d x}{2} \right)} \cosh^{3}{\left(c + d x \right)}}{48 d} - \frac{\sinh{\left(a + \frac{3 d x}{2} \right)} \sinh^{3}{\left(c + d x \right)} \cosh{\left(a + \frac{3 d x}{2} \right)}}{24 d} - \frac{5 \sinh{\left(a + \frac{3 d x}{2} \right)} \sinh{\left(c + d x \right)} \cosh{\left(a + \frac{3 d x}{2} \right)} \cosh^{2}{\left(c + d x \right)}}{4 d} + \frac{9 \cosh^{2}{\left(a + \frac{3 d x}{2} \right)} \cosh^{3}{\left(c + d x \right)}}{16 d} & \text{for}\: b = \frac{3 d}{2} \\\left(\frac{x \sinh^{2}{\left(a + b x \right)}}{2} - \frac{x \cosh^{2}{\left(a + b x \right)}}{2} + \frac{\sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{2 b}\right) \sinh^{3}{\left(c \right)} & \text{for}\: d = 0 \\\frac{24 b^{4} \sinh^{2}{\left(a + b x \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{48 b^{4} d - 120 b^{2} d^{3} + 27 d^{5}} - \frac{16 b^{4} \sinh^{2}{\left(a + b x \right)} \cosh^{3}{\left(c + d x \right)}}{48 b^{4} d - 120 b^{2} d^{3} + 27 d^{5}} - \frac{24 b^{4} \sinh^{2}{\left(c + d x \right)} \cosh^{2}{\left(a + b x \right)} \cosh{\left(c + d x \right)}}{48 b^{4} d - 120 b^{2} d^{3} + 27 d^{5}} + \frac{16 b^{4} \cosh^{2}{\left(a + b x \right)} \cosh^{3}{\left(c + d x \right)}}{48 b^{4} d - 120 b^{2} d^{3} + 27 d^{5}} + \frac{24 b^{3} d \sinh{\left(a + b x \right)} \sinh^{3}{\left(c + d x \right)} \cosh{\left(a + b x \right)}}{48 b^{4} d - 120 b^{2} d^{3} + 27 d^{5}} - \frac{78 b^{2} d^{2} \sinh^{2}{\left(a + b x \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{48 b^{4} d - 120 b^{2} d^{3} + 27 d^{5}} + \frac{40 b^{2} d^{2} \sinh^{2}{\left(a + b x \right)} \cosh^{3}{\left(c + d x \right)}}{48 b^{4} d - 120 b^{2} d^{3} + 27 d^{5}} + \frac{42 b^{2} d^{2} \sinh^{2}{\left(c + d x \right)} \cosh^{2}{\left(a + b x \right)} \cosh{\left(c + d x \right)}}{48 b^{4} d - 120 b^{2} d^{3} + 27 d^{5}} - \frac{40 b^{2} d^{2} \cosh^{2}{\left(a + b x \right)} \cosh^{3}{\left(c + d x \right)}}{48 b^{4} d - 120 b^{2} d^{3} + 27 d^{5}} - \frac{42 b d^{3} \sinh{\left(a + b x \right)} \sinh^{3}{\left(c + d x \right)} \cosh{\left(a + b x \right)}}{48 b^{4} d - 120 b^{2} d^{3} + 27 d^{5}} + \frac{36 b d^{3} \sinh{\left(a + b x \right)} \sinh{\left(c + d x \right)} \cosh{\left(a + b x \right)} \cosh^{2}{\left(c + d x \right)}}{48 b^{4} d - 120 b^{2} d^{3} + 27 d^{5}} + \frac{27 d^{4} \sinh^{2}{\left(a + b x \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{48 b^{4} d - 120 b^{2} d^{3} + 27 d^{5}} - \frac{18 d^{4} \sinh^{2}{\left(a + b x \right)} \cosh^{3}{\left(c + d x \right)}}{48 b^{4} d - 120 b^{2} d^{3} + 27 d^{5}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*sinh(a)**2*sinh(c)**3, Eq(b, 0) & Eq(d, 0)), (x*sinh(a - 3*d*x/2)**2*sinh(c + d*x)**3/16 + 3*x*sinh(a - 3*d*x/2)**2*sinh(c + d*x)*cosh(c + d*x)**2/16 + 3*x*sinh(a - 3*d*x/2)*sinh(c + d*x)**2*cosh(a - 3*d*x/2)*cosh(c + d*x)/8 + x*sinh(a - 3*d*x/2)*cosh(a - 3*d*x/2)*cosh(c + d*x)**3/8 + x*sinh(c + d*x)**3*cosh(a - 3*d*x/2)**2/16 + 3*x*sinh(c + d*x)*cosh(a - 3*d*x/2)**2*cosh(c + d*x)**2/16 + sinh(a - 3*d*x/2)**2*sinh(c + d*x)**2*cosh(c + d*x)/d - 5*sinh(a - 3*d*x/2)**2*cosh(c + d*x)**3/(48*d) + sinh(a - 3*d*x/2)*sinh(c + d*x)**3*cosh(a - 3*d*x/2)/(24*d) + 5*sinh(a - 3*d*x/2)*sinh(c + d*x)*cosh(a - 3*d*x/2)*cosh(c + d*x)**2/(4*d) + 9*cosh(a - 3*d*x/2)**2*cosh(c + d*x)**3/(16*d), Eq(b, -3*d/2)), (3*x*sinh(a - d*x/2)**2*sinh(c + d*x)**3/16 - 3*x*sinh(a - d*x/2)**2*sinh(c + d*x)*cosh(c + d*x)**2/16 + 3*x*sinh(a - d*x/2)*sinh(c + d*x)**2*cosh(a - d*x/2)*cosh(c + d*x)/8 - 3*x*sinh(a - d*x/2)*cosh(a - d*x/2)*cosh(c + d*x)**3/8 + 3*x*sinh(c + d*x)**3*cosh(a - d*x/2)**2/16 - 3*x*sinh(c + d*x)*cosh(a - d*x/2)**2*cosh(c + d*x)**2/16 + 17*sinh(a - d*x/2)**2*cosh(c + d*x)**3/(48*d) - 13*sinh(a - d*x/2)*sinh(c + d*x)**3*cosh(a - d*x/2)/(8*d) + 7*sinh(a - d*x/2)*sinh(c + d*x)*cosh(a - d*x/2)*cosh(c + d*x)**2/(4*d) - sinh(c + d*x)**2*cosh(a - d*x/2)**2*cosh(c + d*x)/d + 49*cosh(a - d*x/2)**2*cosh(c + d*x)**3/(48*d), Eq(b, -d/2)), (3*x*sinh(a + d*x/2)**2*sinh(c + d*x)**3/16 - 3*x*sinh(a + d*x/2)**2*sinh(c + d*x)*cosh(c + d*x)**2/16 - 3*x*sinh(a + d*x/2)*sinh(c + d*x)**2*cosh(a + d*x/2)*cosh(c + d*x)/8 + 3*x*sinh(a + d*x/2)*cosh(a + d*x/2)*cosh(c + d*x)**3/8 + 3*x*sinh(c + d*x)**3*cosh(a + d*x/2)**2/16 - 3*x*sinh(c + d*x)*cosh(a + d*x/2)**2*cosh(c + d*x)**2/16 + 17*sinh(a + d*x/2)**2*cosh(c + d*x)**3/(48*d) + 13*sinh(a + d*x/2)*sinh(c + d*x)**3*cosh(a + d*x/2)/(8*d) - 7*sinh(a + d*x/2)*sinh(c + d*x)*cosh(a + d*x/2)*cosh(c + d*x)**2/(4*d) - sinh(c + d*x)**2*cosh(a + d*x/2)**2*cosh(c + d*x)/d + 49*cosh(a + d*x/2)**2*cosh(c + d*x)**3/(48*d), Eq(b, d/2)), (x*sinh(a + 3*d*x/2)**2*sinh(c + d*x)**3/16 + 3*x*sinh(a + 3*d*x/2)**2*sinh(c + d*x)*cosh(c + d*x)**2/16 - 3*x*sinh(a + 3*d*x/2)*sinh(c + d*x)**2*cosh(a + 3*d*x/2)*cosh(c + d*x)/8 - x*sinh(a + 3*d*x/2)*cosh(a + 3*d*x/2)*cosh(c + d*x)**3/8 + x*sinh(c + d*x)**3*cosh(a + 3*d*x/2)**2/16 + 3*x*sinh(c + d*x)*cosh(a + 3*d*x/2)**2*cosh(c + d*x)**2/16 + sinh(a + 3*d*x/2)**2*sinh(c + d*x)**2*cosh(c + d*x)/d - 5*sinh(a + 3*d*x/2)**2*cosh(c + d*x)**3/(48*d) - sinh(a + 3*d*x/2)*sinh(c + d*x)**3*cosh(a + 3*d*x/2)/(24*d) - 5*sinh(a + 3*d*x/2)*sinh(c + d*x)*cosh(a + 3*d*x/2)*cosh(c + d*x)**2/(4*d) + 9*cosh(a + 3*d*x/2)**2*cosh(c + d*x)**3/(16*d), Eq(b, 3*d/2)), ((x*sinh(a + b*x)**2/2 - x*cosh(a + b*x)**2/2 + sinh(a + b*x)*cosh(a + b*x)/(2*b))*sinh(c)**3, Eq(d, 0)), (24*b**4*sinh(a + b*x)**2*sinh(c + d*x)**2*cosh(c + d*x)/(48*b**4*d - 120*b**2*d**3 + 27*d**5) - 16*b**4*sinh(a + b*x)**2*cosh(c + d*x)**3/(48*b**4*d - 120*b**2*d**3 + 27*d**5) - 24*b**4*sinh(c + d*x)**2*cosh(a + b*x)**2*cosh(c + d*x)/(48*b**4*d - 120*b**2*d**3 + 27*d**5) + 16*b**4*cosh(a + b*x)**2*cosh(c + d*x)**3/(48*b**4*d - 120*b**2*d**3 + 27*d**5) + 24*b**3*d*sinh(a + b*x)*sinh(c + d*x)**3*cosh(a + b*x)/(48*b**4*d - 120*b**2*d**3 + 27*d**5) - 78*b**2*d**2*sinh(a + b*x)**2*sinh(c + d*x)**2*cosh(c + d*x)/(48*b**4*d - 120*b**2*d**3 + 27*d**5) + 40*b**2*d**2*sinh(a + b*x)**2*cosh(c + d*x)**3/(48*b**4*d - 120*b**2*d**3 + 27*d**5) + 42*b**2*d**2*sinh(c + d*x)**2*cosh(a + b*x)**2*cosh(c + d*x)/(48*b**4*d - 120*b**2*d**3 + 27*d**5) - 40*b**2*d**2*cosh(a + b*x)**2*cosh(c + d*x)**3/(48*b**4*d - 120*b**2*d**3 + 27*d**5) - 42*b*d**3*sinh(a + b*x)*sinh(c + d*x)**3*cosh(a + b*x)/(48*b**4*d - 120*b**2*d**3 + 27*d**5) + 36*b*d**3*sinh(a + b*x)*sinh(c + d*x)*cosh(a + b*x)*cosh(c + d*x)**2/(48*b**4*d - 120*b**2*d**3 + 27*d**5) + 27*d**4*sinh(a + b*x)**2*sinh(c + d*x)**2*cosh(c + d*x)/(48*b**4*d - 120*b**2*d**3 + 27*d**5) - 18*d**4*sinh(a + b*x)**2*cosh(c + d*x)**3/(48*b**4*d - 120*b**2*d**3 + 27*d**5), True))","A",0
172,-1,0,0,0.000000," ","integrate(sinh(b*x+a)**3*sinh(d*x+c)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
173,1,153,0,1.473082," ","integrate(cosh(b*x+a)*cosh(d*x+c),x)","\begin{cases} x \cosh{\left(a \right)} \cosh{\left(c \right)} & \text{for}\: b = 0 \wedge d = 0 \\\frac{x \sinh{\left(a - d x \right)} \sinh{\left(c + d x \right)}}{2} + \frac{x \cosh{\left(a - d x \right)} \cosh{\left(c + d x \right)}}{2} + \frac{\sinh{\left(c + d x \right)} \cosh{\left(a - d x \right)}}{2 d} & \text{for}\: b = - d \\- \frac{x \sinh{\left(a + d x \right)} \sinh{\left(c + d x \right)}}{2} + \frac{x \cosh{\left(a + d x \right)} \cosh{\left(c + d x \right)}}{2} + \frac{\sinh{\left(c + d x \right)} \cosh{\left(a + d x \right)}}{2 d} & \text{for}\: b = d \\\frac{b \sinh{\left(a + b x \right)} \cosh{\left(c + d x \right)}}{b^{2} - d^{2}} - \frac{d \sinh{\left(c + d x \right)} \cosh{\left(a + b x \right)}}{b^{2} - d^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*cosh(a)*cosh(c), Eq(b, 0) & Eq(d, 0)), (x*sinh(a - d*x)*sinh(c + d*x)/2 + x*cosh(a - d*x)*cosh(c + d*x)/2 + sinh(c + d*x)*cosh(a - d*x)/(2*d), Eq(b, -d)), (-x*sinh(a + d*x)*sinh(c + d*x)/2 + x*cosh(a + d*x)*cosh(c + d*x)/2 + sinh(c + d*x)*cosh(a + d*x)/(2*d), Eq(b, d)), (b*sinh(a + b*x)*cosh(c + d*x)/(b**2 - d**2) - d*sinh(c + d*x)*cosh(a + b*x)/(b**2 - d**2), True))","A",0
174,1,408,0,6.293928," ","integrate(cosh(b*x+a)*cosh(d*x+c)**2,x)","\begin{cases} x \cosh{\left(a \right)} \cosh^{2}{\left(c \right)} & \text{for}\: b = 0 \wedge d = 0 \\\left(- \frac{x \sinh^{2}{\left(c + d x \right)}}{2} + \frac{x \cosh^{2}{\left(c + d x \right)}}{2} + \frac{\sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{2 d}\right) \cosh{\left(a \right)} & \text{for}\: b = 0 \\\frac{x \sinh{\left(a - 2 d x \right)} \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{2} + \frac{x \sinh^{2}{\left(c + d x \right)} \cosh{\left(a - 2 d x \right)}}{4} + \frac{x \cosh{\left(a - 2 d x \right)} \cosh^{2}{\left(c + d x \right)}}{4} + \frac{\sinh{\left(a - 2 d x \right)} \sinh^{2}{\left(c + d x \right)}}{2 d} + \frac{3 \sinh{\left(c + d x \right)} \cosh{\left(a - 2 d x \right)} \cosh{\left(c + d x \right)}}{4 d} & \text{for}\: b = - 2 d \\- \frac{x \sinh{\left(a + 2 d x \right)} \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{2} + \frac{x \sinh^{2}{\left(c + d x \right)} \cosh{\left(a + 2 d x \right)}}{4} + \frac{x \cosh{\left(a + 2 d x \right)} \cosh^{2}{\left(c + d x \right)}}{4} - \frac{\sinh{\left(a + 2 d x \right)} \sinh^{2}{\left(c + d x \right)}}{2 d} + \frac{3 \sinh{\left(c + d x \right)} \cosh{\left(a + 2 d x \right)} \cosh{\left(c + d x \right)}}{4 d} & \text{for}\: b = 2 d \\\frac{b^{2} \sinh{\left(a + b x \right)} \cosh^{2}{\left(c + d x \right)}}{b^{3} - 4 b d^{2}} - \frac{2 b d \sinh{\left(c + d x \right)} \cosh{\left(a + b x \right)} \cosh{\left(c + d x \right)}}{b^{3} - 4 b d^{2}} + \frac{2 d^{2} \sinh{\left(a + b x \right)} \sinh^{2}{\left(c + d x \right)}}{b^{3} - 4 b d^{2}} - \frac{2 d^{2} \sinh{\left(a + b x \right)} \cosh^{2}{\left(c + d x \right)}}{b^{3} - 4 b d^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*cosh(a)*cosh(c)**2, Eq(b, 0) & Eq(d, 0)), ((-x*sinh(c + d*x)**2/2 + x*cosh(c + d*x)**2/2 + sinh(c + d*x)*cosh(c + d*x)/(2*d))*cosh(a), Eq(b, 0)), (x*sinh(a - 2*d*x)*sinh(c + d*x)*cosh(c + d*x)/2 + x*sinh(c + d*x)**2*cosh(a - 2*d*x)/4 + x*cosh(a - 2*d*x)*cosh(c + d*x)**2/4 + sinh(a - 2*d*x)*sinh(c + d*x)**2/(2*d) + 3*sinh(c + d*x)*cosh(a - 2*d*x)*cosh(c + d*x)/(4*d), Eq(b, -2*d)), (-x*sinh(a + 2*d*x)*sinh(c + d*x)*cosh(c + d*x)/2 + x*sinh(c + d*x)**2*cosh(a + 2*d*x)/4 + x*cosh(a + 2*d*x)*cosh(c + d*x)**2/4 - sinh(a + 2*d*x)*sinh(c + d*x)**2/(2*d) + 3*sinh(c + d*x)*cosh(a + 2*d*x)*cosh(c + d*x)/(4*d), Eq(b, 2*d)), (b**2*sinh(a + b*x)*cosh(c + d*x)**2/(b**3 - 4*b*d**2) - 2*b*d*sinh(c + d*x)*cosh(a + b*x)*cosh(c + d*x)/(b**3 - 4*b*d**2) + 2*d**2*sinh(a + b*x)*sinh(c + d*x)**2/(b**3 - 4*b*d**2) - 2*d**2*sinh(a + b*x)*cosh(c + d*x)**2/(b**3 - 4*b*d**2), True))","A",0
175,1,921,0,30.703666," ","integrate(cosh(b*x+a)*cosh(d*x+c)**3,x)","\begin{cases} x \cosh{\left(a \right)} \cosh^{3}{\left(c \right)} & \text{for}\: b = 0 \wedge d = 0 \\\frac{x \sinh{\left(a - 3 d x \right)} \sinh^{3}{\left(c + d x \right)}}{8} + \frac{3 x \sinh{\left(a - 3 d x \right)} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{8} + \frac{3 x \sinh^{2}{\left(c + d x \right)} \cosh{\left(a - 3 d x \right)} \cosh{\left(c + d x \right)}}{8} + \frac{x \cosh{\left(a - 3 d x \right)} \cosh^{3}{\left(c + d x \right)}}{8} + \frac{\sinh{\left(a - 3 d x \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{4 d} - \frac{7 \sinh{\left(a - 3 d x \right)} \cosh^{3}{\left(c + d x \right)}}{24 d} + \frac{\sinh^{3}{\left(c + d x \right)} \cosh{\left(a - 3 d x \right)}}{8 d} & \text{for}\: b = - 3 d \\- \frac{3 x \sinh{\left(a - d x \right)} \sinh^{3}{\left(c + d x \right)}}{8} + \frac{3 x \sinh{\left(a - d x \right)} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{8} - \frac{3 x \sinh^{2}{\left(c + d x \right)} \cosh{\left(a - d x \right)} \cosh{\left(c + d x \right)}}{8} + \frac{3 x \cosh{\left(a - d x \right)} \cosh^{3}{\left(c + d x \right)}}{8} + \frac{3 \sinh{\left(a - d x \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{4 d} - \frac{5 \sinh{\left(a - d x \right)} \cosh^{3}{\left(c + d x \right)}}{8 d} + \frac{3 \sinh^{3}{\left(c + d x \right)} \cosh{\left(a - d x \right)}}{8 d} & \text{for}\: b = - d \\\frac{3 x \sinh{\left(a + d x \right)} \sinh^{3}{\left(c + d x \right)}}{8} - \frac{3 x \sinh{\left(a + d x \right)} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{8} - \frac{3 x \sinh^{2}{\left(c + d x \right)} \cosh{\left(a + d x \right)} \cosh{\left(c + d x \right)}}{8} + \frac{3 x \cosh{\left(a + d x \right)} \cosh^{3}{\left(c + d x \right)}}{8} - \frac{3 \sinh{\left(a + d x \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{4 d} + \frac{5 \sinh{\left(a + d x \right)} \cosh^{3}{\left(c + d x \right)}}{8 d} + \frac{3 \sinh^{3}{\left(c + d x \right)} \cosh{\left(a + d x \right)}}{8 d} & \text{for}\: b = d \\- \frac{x \sinh{\left(a + 3 d x \right)} \sinh^{3}{\left(c + d x \right)}}{8} - \frac{3 x \sinh{\left(a + 3 d x \right)} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{8} + \frac{3 x \sinh^{2}{\left(c + d x \right)} \cosh{\left(a + 3 d x \right)} \cosh{\left(c + d x \right)}}{8} + \frac{x \cosh{\left(a + 3 d x \right)} \cosh^{3}{\left(c + d x \right)}}{8} - \frac{\sinh{\left(a + 3 d x \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{4 d} + \frac{7 \sinh{\left(a + 3 d x \right)} \cosh^{3}{\left(c + d x \right)}}{24 d} + \frac{\sinh^{3}{\left(c + d x \right)} \cosh{\left(a + 3 d x \right)}}{8 d} & \text{for}\: b = 3 d \\\frac{b^{3} \sinh{\left(a + b x \right)} \cosh^{3}{\left(c + d x \right)}}{b^{4} - 10 b^{2} d^{2} + 9 d^{4}} - \frac{3 b^{2} d \sinh{\left(c + d x \right)} \cosh{\left(a + b x \right)} \cosh^{2}{\left(c + d x \right)}}{b^{4} - 10 b^{2} d^{2} + 9 d^{4}} + \frac{6 b d^{2} \sinh{\left(a + b x \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{b^{4} - 10 b^{2} d^{2} + 9 d^{4}} - \frac{7 b d^{2} \sinh{\left(a + b x \right)} \cosh^{3}{\left(c + d x \right)}}{b^{4} - 10 b^{2} d^{2} + 9 d^{4}} - \frac{6 d^{3} \sinh^{3}{\left(c + d x \right)} \cosh{\left(a + b x \right)}}{b^{4} - 10 b^{2} d^{2} + 9 d^{4}} + \frac{9 d^{3} \sinh{\left(c + d x \right)} \cosh{\left(a + b x \right)} \cosh^{2}{\left(c + d x \right)}}{b^{4} - 10 b^{2} d^{2} + 9 d^{4}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*cosh(a)*cosh(c)**3, Eq(b, 0) & Eq(d, 0)), (x*sinh(a - 3*d*x)*sinh(c + d*x)**3/8 + 3*x*sinh(a - 3*d*x)*sinh(c + d*x)*cosh(c + d*x)**2/8 + 3*x*sinh(c + d*x)**2*cosh(a - 3*d*x)*cosh(c + d*x)/8 + x*cosh(a - 3*d*x)*cosh(c + d*x)**3/8 + sinh(a - 3*d*x)*sinh(c + d*x)**2*cosh(c + d*x)/(4*d) - 7*sinh(a - 3*d*x)*cosh(c + d*x)**3/(24*d) + sinh(c + d*x)**3*cosh(a - 3*d*x)/(8*d), Eq(b, -3*d)), (-3*x*sinh(a - d*x)*sinh(c + d*x)**3/8 + 3*x*sinh(a - d*x)*sinh(c + d*x)*cosh(c + d*x)**2/8 - 3*x*sinh(c + d*x)**2*cosh(a - d*x)*cosh(c + d*x)/8 + 3*x*cosh(a - d*x)*cosh(c + d*x)**3/8 + 3*sinh(a - d*x)*sinh(c + d*x)**2*cosh(c + d*x)/(4*d) - 5*sinh(a - d*x)*cosh(c + d*x)**3/(8*d) + 3*sinh(c + d*x)**3*cosh(a - d*x)/(8*d), Eq(b, -d)), (3*x*sinh(a + d*x)*sinh(c + d*x)**3/8 - 3*x*sinh(a + d*x)*sinh(c + d*x)*cosh(c + d*x)**2/8 - 3*x*sinh(c + d*x)**2*cosh(a + d*x)*cosh(c + d*x)/8 + 3*x*cosh(a + d*x)*cosh(c + d*x)**3/8 - 3*sinh(a + d*x)*sinh(c + d*x)**2*cosh(c + d*x)/(4*d) + 5*sinh(a + d*x)*cosh(c + d*x)**3/(8*d) + 3*sinh(c + d*x)**3*cosh(a + d*x)/(8*d), Eq(b, d)), (-x*sinh(a + 3*d*x)*sinh(c + d*x)**3/8 - 3*x*sinh(a + 3*d*x)*sinh(c + d*x)*cosh(c + d*x)**2/8 + 3*x*sinh(c + d*x)**2*cosh(a + 3*d*x)*cosh(c + d*x)/8 + x*cosh(a + 3*d*x)*cosh(c + d*x)**3/8 - sinh(a + 3*d*x)*sinh(c + d*x)**2*cosh(c + d*x)/(4*d) + 7*sinh(a + 3*d*x)*cosh(c + d*x)**3/(24*d) + sinh(c + d*x)**3*cosh(a + 3*d*x)/(8*d), Eq(b, 3*d)), (b**3*sinh(a + b*x)*cosh(c + d*x)**3/(b**4 - 10*b**2*d**2 + 9*d**4) - 3*b**2*d*sinh(c + d*x)*cosh(a + b*x)*cosh(c + d*x)**2/(b**4 - 10*b**2*d**2 + 9*d**4) + 6*b*d**2*sinh(a + b*x)*sinh(c + d*x)**2*cosh(c + d*x)/(b**4 - 10*b**2*d**2 + 9*d**4) - 7*b*d**2*sinh(a + b*x)*cosh(c + d*x)**3/(b**4 - 10*b**2*d**2 + 9*d**4) - 6*d**3*sinh(c + d*x)**3*cosh(a + b*x)/(b**4 - 10*b**2*d**2 + 9*d**4) + 9*d**3*sinh(c + d*x)*cosh(a + b*x)*cosh(c + d*x)**2/(b**4 - 10*b**2*d**2 + 9*d**4), True))","A",0
176,1,1027,0,21.548654," ","integrate(cosh(b*x+a)**2*cosh(d*x+c)**2,x)","\begin{cases} x \cosh^{2}{\left(a \right)} \cosh^{2}{\left(c \right)} & \text{for}\: b = 0 \wedge d = 0 \\\left(- \frac{x \sinh^{2}{\left(c + d x \right)}}{2} + \frac{x \cosh^{2}{\left(c + d x \right)}}{2} + \frac{\sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{2 d}\right) \cosh^{2}{\left(a \right)} & \text{for}\: b = 0 \\\frac{3 x \sinh^{2}{\left(a - d x \right)} \sinh^{2}{\left(c + d x \right)}}{8} - \frac{x \sinh^{2}{\left(a - d x \right)} \cosh^{2}{\left(c + d x \right)}}{8} + \frac{x \sinh{\left(a - d x \right)} \sinh{\left(c + d x \right)} \cosh{\left(a - d x \right)} \cosh{\left(c + d x \right)}}{2} - \frac{x \sinh^{2}{\left(c + d x \right)} \cosh^{2}{\left(a - d x \right)}}{8} + \frac{3 x \cosh^{2}{\left(a - d x \right)} \cosh^{2}{\left(c + d x \right)}}{8} + \frac{\sinh^{2}{\left(a - d x \right)} \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{8 d} + \frac{\sinh{\left(a - d x \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(a - d x \right)}}{2 d} + \frac{5 \sinh{\left(c + d x \right)} \cosh^{2}{\left(a - d x \right)} \cosh{\left(c + d x \right)}}{8 d} & \text{for}\: b = - d \\\frac{3 x \sinh^{2}{\left(a + d x \right)} \sinh^{2}{\left(c + d x \right)}}{8} - \frac{x \sinh^{2}{\left(a + d x \right)} \cosh^{2}{\left(c + d x \right)}}{8} - \frac{x \sinh{\left(a + d x \right)} \sinh{\left(c + d x \right)} \cosh{\left(a + d x \right)} \cosh{\left(c + d x \right)}}{2} - \frac{x \sinh^{2}{\left(c + d x \right)} \cosh^{2}{\left(a + d x \right)}}{8} + \frac{3 x \cosh^{2}{\left(a + d x \right)} \cosh^{2}{\left(c + d x \right)}}{8} - \frac{3 \sinh{\left(a + d x \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(a + d x \right)}}{8 d} + \frac{\sinh{\left(a + d x \right)} \cosh{\left(a + d x \right)} \cosh^{2}{\left(c + d x \right)}}{8 d} + \frac{\sinh{\left(c + d x \right)} \cosh^{2}{\left(a + d x \right)} \cosh{\left(c + d x \right)}}{2 d} & \text{for}\: b = d \\\left(- \frac{x \sinh^{2}{\left(a + b x \right)}}{2} + \frac{x \cosh^{2}{\left(a + b x \right)}}{2} + \frac{\sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{2 b}\right) \cosh^{2}{\left(c \right)} & \text{for}\: d = 0 \\\frac{b^{3} d x \sinh^{2}{\left(a + b x \right)} \sinh^{2}{\left(c + d x \right)}}{4 b^{3} d - 4 b d^{3}} - \frac{b^{3} d x \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(c + d x \right)}}{4 b^{3} d - 4 b d^{3}} - \frac{b^{3} d x \sinh^{2}{\left(c + d x \right)} \cosh^{2}{\left(a + b x \right)}}{4 b^{3} d - 4 b d^{3}} + \frac{b^{3} d x \cosh^{2}{\left(a + b x \right)} \cosh^{2}{\left(c + d x \right)}}{4 b^{3} d - 4 b d^{3}} - \frac{b^{3} \sinh^{2}{\left(a + b x \right)} \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{4 b^{3} d - 4 b d^{3}} + \frac{b^{3} \sinh{\left(c + d x \right)} \cosh^{2}{\left(a + b x \right)} \cosh{\left(c + d x \right)}}{4 b^{3} d - 4 b d^{3}} + \frac{2 b^{2} d \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)} \cosh^{2}{\left(c + d x \right)}}{4 b^{3} d - 4 b d^{3}} - \frac{b d^{3} x \sinh^{2}{\left(a + b x \right)} \sinh^{2}{\left(c + d x \right)}}{4 b^{3} d - 4 b d^{3}} + \frac{b d^{3} x \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(c + d x \right)}}{4 b^{3} d - 4 b d^{3}} + \frac{b d^{3} x \sinh^{2}{\left(c + d x \right)} \cosh^{2}{\left(a + b x \right)}}{4 b^{3} d - 4 b d^{3}} - \frac{b d^{3} x \cosh^{2}{\left(a + b x \right)} \cosh^{2}{\left(c + d x \right)}}{4 b^{3} d - 4 b d^{3}} - \frac{2 b d^{2} \sinh{\left(c + d x \right)} \cosh^{2}{\left(a + b x \right)} \cosh{\left(c + d x \right)}}{4 b^{3} d - 4 b d^{3}} + \frac{d^{3} \sinh{\left(a + b x \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(a + b x \right)}}{4 b^{3} d - 4 b d^{3}} - \frac{d^{3} \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)} \cosh^{2}{\left(c + d x \right)}}{4 b^{3} d - 4 b d^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*cosh(a)**2*cosh(c)**2, Eq(b, 0) & Eq(d, 0)), ((-x*sinh(c + d*x)**2/2 + x*cosh(c + d*x)**2/2 + sinh(c + d*x)*cosh(c + d*x)/(2*d))*cosh(a)**2, Eq(b, 0)), (3*x*sinh(a - d*x)**2*sinh(c + d*x)**2/8 - x*sinh(a - d*x)**2*cosh(c + d*x)**2/8 + x*sinh(a - d*x)*sinh(c + d*x)*cosh(a - d*x)*cosh(c + d*x)/2 - x*sinh(c + d*x)**2*cosh(a - d*x)**2/8 + 3*x*cosh(a - d*x)**2*cosh(c + d*x)**2/8 + sinh(a - d*x)**2*sinh(c + d*x)*cosh(c + d*x)/(8*d) + sinh(a - d*x)*sinh(c + d*x)**2*cosh(a - d*x)/(2*d) + 5*sinh(c + d*x)*cosh(a - d*x)**2*cosh(c + d*x)/(8*d), Eq(b, -d)), (3*x*sinh(a + d*x)**2*sinh(c + d*x)**2/8 - x*sinh(a + d*x)**2*cosh(c + d*x)**2/8 - x*sinh(a + d*x)*sinh(c + d*x)*cosh(a + d*x)*cosh(c + d*x)/2 - x*sinh(c + d*x)**2*cosh(a + d*x)**2/8 + 3*x*cosh(a + d*x)**2*cosh(c + d*x)**2/8 - 3*sinh(a + d*x)*sinh(c + d*x)**2*cosh(a + d*x)/(8*d) + sinh(a + d*x)*cosh(a + d*x)*cosh(c + d*x)**2/(8*d) + sinh(c + d*x)*cosh(a + d*x)**2*cosh(c + d*x)/(2*d), Eq(b, d)), ((-x*sinh(a + b*x)**2/2 + x*cosh(a + b*x)**2/2 + sinh(a + b*x)*cosh(a + b*x)/(2*b))*cosh(c)**2, Eq(d, 0)), (b**3*d*x*sinh(a + b*x)**2*sinh(c + d*x)**2/(4*b**3*d - 4*b*d**3) - b**3*d*x*sinh(a + b*x)**2*cosh(c + d*x)**2/(4*b**3*d - 4*b*d**3) - b**3*d*x*sinh(c + d*x)**2*cosh(a + b*x)**2/(4*b**3*d - 4*b*d**3) + b**3*d*x*cosh(a + b*x)**2*cosh(c + d*x)**2/(4*b**3*d - 4*b*d**3) - b**3*sinh(a + b*x)**2*sinh(c + d*x)*cosh(c + d*x)/(4*b**3*d - 4*b*d**3) + b**3*sinh(c + d*x)*cosh(a + b*x)**2*cosh(c + d*x)/(4*b**3*d - 4*b*d**3) + 2*b**2*d*sinh(a + b*x)*cosh(a + b*x)*cosh(c + d*x)**2/(4*b**3*d - 4*b*d**3) - b*d**3*x*sinh(a + b*x)**2*sinh(c + d*x)**2/(4*b**3*d - 4*b*d**3) + b*d**3*x*sinh(a + b*x)**2*cosh(c + d*x)**2/(4*b**3*d - 4*b*d**3) + b*d**3*x*sinh(c + d*x)**2*cosh(a + b*x)**2/(4*b**3*d - 4*b*d**3) - b*d**3*x*cosh(a + b*x)**2*cosh(c + d*x)**2/(4*b**3*d - 4*b*d**3) - 2*b*d**2*sinh(c + d*x)*cosh(a + b*x)**2*cosh(c + d*x)/(4*b**3*d - 4*b*d**3) + d**3*sinh(a + b*x)*sinh(c + d*x)**2*cosh(a + b*x)/(4*b**3*d - 4*b*d**3) - d**3*sinh(a + b*x)*cosh(a + b*x)*cosh(c + d*x)**2/(4*b**3*d - 4*b*d**3), True))","A",0
177,1,2003,0,109.364631," ","integrate(cosh(b*x+a)**2*cosh(d*x+c)**3,x)","\begin{cases} x \cosh^{2}{\left(a \right)} \cosh^{3}{\left(c \right)} & \text{for}\: b = 0 \wedge d = 0 \\\frac{3 x \sinh^{2}{\left(a - \frac{3 d x}{2} \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{16} + \frac{x \sinh^{2}{\left(a - \frac{3 d x}{2} \right)} \cosh^{3}{\left(c + d x \right)}}{16} + \frac{x \sinh{\left(a - \frac{3 d x}{2} \right)} \sinh^{3}{\left(c + d x \right)} \cosh{\left(a - \frac{3 d x}{2} \right)}}{8} + \frac{3 x \sinh{\left(a - \frac{3 d x}{2} \right)} \sinh{\left(c + d x \right)} \cosh{\left(a - \frac{3 d x}{2} \right)} \cosh^{2}{\left(c + d x \right)}}{8} + \frac{3 x \sinh^{2}{\left(c + d x \right)} \cosh^{2}{\left(a - \frac{3 d x}{2} \right)} \cosh{\left(c + d x \right)}}{16} + \frac{x \cosh^{2}{\left(a - \frac{3 d x}{2} \right)} \cosh^{3}{\left(c + d x \right)}}{16} + \frac{11 \sinh^{2}{\left(a - \frac{3 d x}{2} \right)} \sinh^{3}{\left(c + d x \right)}}{48 d} - \frac{\sinh^{2}{\left(a - \frac{3 d x}{2} \right)} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{d} - \frac{3 \sinh{\left(a - \frac{3 d x}{2} \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(a - \frac{3 d x}{2} \right)} \cosh{\left(c + d x \right)}}{4 d} - \frac{5 \sinh{\left(a - \frac{3 d x}{2} \right)} \cosh{\left(a - \frac{3 d x}{2} \right)} \cosh^{3}{\left(c + d x \right)}}{8 d} - \frac{7 \sinh^{3}{\left(c + d x \right)} \cosh^{2}{\left(a - \frac{3 d x}{2} \right)}}{16 d} & \text{for}\: b = - \frac{3 d}{2} \\- \frac{3 x \sinh^{2}{\left(a - \frac{d x}{2} \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{16} + \frac{3 x \sinh^{2}{\left(a - \frac{d x}{2} \right)} \cosh^{3}{\left(c + d x \right)}}{16} - \frac{3 x \sinh{\left(a - \frac{d x}{2} \right)} \sinh^{3}{\left(c + d x \right)} \cosh{\left(a - \frac{d x}{2} \right)}}{8} + \frac{3 x \sinh{\left(a - \frac{d x}{2} \right)} \sinh{\left(c + d x \right)} \cosh{\left(a - \frac{d x}{2} \right)} \cosh^{2}{\left(c + d x \right)}}{8} - \frac{3 x \sinh^{2}{\left(c + d x \right)} \cosh^{2}{\left(a - \frac{d x}{2} \right)} \cosh{\left(c + d x \right)}}{16} + \frac{3 x \cosh^{2}{\left(a - \frac{d x}{2} \right)} \cosh^{3}{\left(c + d x \right)}}{16} + \frac{\sinh^{2}{\left(a - \frac{d x}{2} \right)} \sinh^{3}{\left(c + d x \right)}}{48 d} - \frac{\sinh{\left(a - \frac{d x}{2} \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(a - \frac{d x}{2} \right)} \cosh{\left(c + d x \right)}}{4 d} + \frac{3 \sinh{\left(a - \frac{d x}{2} \right)} \cosh{\left(a - \frac{d x}{2} \right)} \cosh^{3}{\left(c + d x \right)}}{8 d} - \frac{31 \sinh^{3}{\left(c + d x \right)} \cosh^{2}{\left(a - \frac{d x}{2} \right)}}{48 d} + \frac{\sinh{\left(c + d x \right)} \cosh^{2}{\left(a - \frac{d x}{2} \right)} \cosh^{2}{\left(c + d x \right)}}{d} & \text{for}\: b = - \frac{d}{2} \\- \frac{3 x \sinh^{2}{\left(a + \frac{d x}{2} \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{16} + \frac{3 x \sinh^{2}{\left(a + \frac{d x}{2} \right)} \cosh^{3}{\left(c + d x \right)}}{16} + \frac{3 x \sinh{\left(a + \frac{d x}{2} \right)} \sinh^{3}{\left(c + d x \right)} \cosh{\left(a + \frac{d x}{2} \right)}}{8} - \frac{3 x \sinh{\left(a + \frac{d x}{2} \right)} \sinh{\left(c + d x \right)} \cosh{\left(a + \frac{d x}{2} \right)} \cosh^{2}{\left(c + d x \right)}}{8} - \frac{3 x \sinh^{2}{\left(c + d x \right)} \cosh^{2}{\left(a + \frac{d x}{2} \right)} \cosh{\left(c + d x \right)}}{16} + \frac{3 x \cosh^{2}{\left(a + \frac{d x}{2} \right)} \cosh^{3}{\left(c + d x \right)}}{16} + \frac{\sinh^{2}{\left(a + \frac{d x}{2} \right)} \sinh^{3}{\left(c + d x \right)}}{48 d} + \frac{\sinh{\left(a + \frac{d x}{2} \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(a + \frac{d x}{2} \right)} \cosh{\left(c + d x \right)}}{4 d} - \frac{3 \sinh{\left(a + \frac{d x}{2} \right)} \cosh{\left(a + \frac{d x}{2} \right)} \cosh^{3}{\left(c + d x \right)}}{8 d} - \frac{31 \sinh^{3}{\left(c + d x \right)} \cosh^{2}{\left(a + \frac{d x}{2} \right)}}{48 d} + \frac{\sinh{\left(c + d x \right)} \cosh^{2}{\left(a + \frac{d x}{2} \right)} \cosh^{2}{\left(c + d x \right)}}{d} & \text{for}\: b = \frac{d}{2} \\\frac{3 x \sinh^{2}{\left(a + \frac{3 d x}{2} \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{16} + \frac{x \sinh^{2}{\left(a + \frac{3 d x}{2} \right)} \cosh^{3}{\left(c + d x \right)}}{16} - \frac{x \sinh{\left(a + \frac{3 d x}{2} \right)} \sinh^{3}{\left(c + d x \right)} \cosh{\left(a + \frac{3 d x}{2} \right)}}{8} - \frac{3 x \sinh{\left(a + \frac{3 d x}{2} \right)} \sinh{\left(c + d x \right)} \cosh{\left(a + \frac{3 d x}{2} \right)} \cosh^{2}{\left(c + d x \right)}}{8} + \frac{3 x \sinh^{2}{\left(c + d x \right)} \cosh^{2}{\left(a + \frac{3 d x}{2} \right)} \cosh{\left(c + d x \right)}}{16} + \frac{x \cosh^{2}{\left(a + \frac{3 d x}{2} \right)} \cosh^{3}{\left(c + d x \right)}}{16} + \frac{11 \sinh^{2}{\left(a + \frac{3 d x}{2} \right)} \sinh^{3}{\left(c + d x \right)}}{48 d} - \frac{\sinh^{2}{\left(a + \frac{3 d x}{2} \right)} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{d} + \frac{3 \sinh{\left(a + \frac{3 d x}{2} \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(a + \frac{3 d x}{2} \right)} \cosh{\left(c + d x \right)}}{4 d} + \frac{5 \sinh{\left(a + \frac{3 d x}{2} \right)} \cosh{\left(a + \frac{3 d x}{2} \right)} \cosh^{3}{\left(c + d x \right)}}{8 d} - \frac{7 \sinh^{3}{\left(c + d x \right)} \cosh^{2}{\left(a + \frac{3 d x}{2} \right)}}{16 d} & \text{for}\: b = \frac{3 d}{2} \\\left(- \frac{x \sinh^{2}{\left(a + b x \right)}}{2} + \frac{x \cosh^{2}{\left(a + b x \right)}}{2} + \frac{\sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{2 b}\right) \cosh^{3}{\left(c \right)} & \text{for}\: d = 0 \\\frac{16 b^{4} \sinh^{2}{\left(a + b x \right)} \sinh^{3}{\left(c + d x \right)}}{48 b^{4} d - 120 b^{2} d^{3} + 27 d^{5}} - \frac{24 b^{4} \sinh^{2}{\left(a + b x \right)} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{48 b^{4} d - 120 b^{2} d^{3} + 27 d^{5}} - \frac{16 b^{4} \sinh^{3}{\left(c + d x \right)} \cosh^{2}{\left(a + b x \right)}}{48 b^{4} d - 120 b^{2} d^{3} + 27 d^{5}} + \frac{24 b^{4} \sinh{\left(c + d x \right)} \cosh^{2}{\left(a + b x \right)} \cosh^{2}{\left(c + d x \right)}}{48 b^{4} d - 120 b^{2} d^{3} + 27 d^{5}} + \frac{24 b^{3} d \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)} \cosh^{3}{\left(c + d x \right)}}{48 b^{4} d - 120 b^{2} d^{3} + 27 d^{5}} - \frac{40 b^{2} d^{2} \sinh^{2}{\left(a + b x \right)} \sinh^{3}{\left(c + d x \right)}}{48 b^{4} d - 120 b^{2} d^{3} + 27 d^{5}} + \frac{42 b^{2} d^{2} \sinh^{2}{\left(a + b x \right)} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{48 b^{4} d - 120 b^{2} d^{3} + 27 d^{5}} + \frac{40 b^{2} d^{2} \sinh^{3}{\left(c + d x \right)} \cosh^{2}{\left(a + b x \right)}}{48 b^{4} d - 120 b^{2} d^{3} + 27 d^{5}} - \frac{78 b^{2} d^{2} \sinh{\left(c + d x \right)} \cosh^{2}{\left(a + b x \right)} \cosh^{2}{\left(c + d x \right)}}{48 b^{4} d - 120 b^{2} d^{3} + 27 d^{5}} + \frac{36 b d^{3} \sinh{\left(a + b x \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(a + b x \right)} \cosh{\left(c + d x \right)}}{48 b^{4} d - 120 b^{2} d^{3} + 27 d^{5}} - \frac{42 b d^{3} \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)} \cosh^{3}{\left(c + d x \right)}}{48 b^{4} d - 120 b^{2} d^{3} + 27 d^{5}} - \frac{18 d^{4} \sinh^{3}{\left(c + d x \right)} \cosh^{2}{\left(a + b x \right)}}{48 b^{4} d - 120 b^{2} d^{3} + 27 d^{5}} + \frac{27 d^{4} \sinh{\left(c + d x \right)} \cosh^{2}{\left(a + b x \right)} \cosh^{2}{\left(c + d x \right)}}{48 b^{4} d - 120 b^{2} d^{3} + 27 d^{5}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*cosh(a)**2*cosh(c)**3, Eq(b, 0) & Eq(d, 0)), (3*x*sinh(a - 3*d*x/2)**2*sinh(c + d*x)**2*cosh(c + d*x)/16 + x*sinh(a - 3*d*x/2)**2*cosh(c + d*x)**3/16 + x*sinh(a - 3*d*x/2)*sinh(c + d*x)**3*cosh(a - 3*d*x/2)/8 + 3*x*sinh(a - 3*d*x/2)*sinh(c + d*x)*cosh(a - 3*d*x/2)*cosh(c + d*x)**2/8 + 3*x*sinh(c + d*x)**2*cosh(a - 3*d*x/2)**2*cosh(c + d*x)/16 + x*cosh(a - 3*d*x/2)**2*cosh(c + d*x)**3/16 + 11*sinh(a - 3*d*x/2)**2*sinh(c + d*x)**3/(48*d) - sinh(a - 3*d*x/2)**2*sinh(c + d*x)*cosh(c + d*x)**2/d - 3*sinh(a - 3*d*x/2)*sinh(c + d*x)**2*cosh(a - 3*d*x/2)*cosh(c + d*x)/(4*d) - 5*sinh(a - 3*d*x/2)*cosh(a - 3*d*x/2)*cosh(c + d*x)**3/(8*d) - 7*sinh(c + d*x)**3*cosh(a - 3*d*x/2)**2/(16*d), Eq(b, -3*d/2)), (-3*x*sinh(a - d*x/2)**2*sinh(c + d*x)**2*cosh(c + d*x)/16 + 3*x*sinh(a - d*x/2)**2*cosh(c + d*x)**3/16 - 3*x*sinh(a - d*x/2)*sinh(c + d*x)**3*cosh(a - d*x/2)/8 + 3*x*sinh(a - d*x/2)*sinh(c + d*x)*cosh(a - d*x/2)*cosh(c + d*x)**2/8 - 3*x*sinh(c + d*x)**2*cosh(a - d*x/2)**2*cosh(c + d*x)/16 + 3*x*cosh(a - d*x/2)**2*cosh(c + d*x)**3/16 + sinh(a - d*x/2)**2*sinh(c + d*x)**3/(48*d) - sinh(a - d*x/2)*sinh(c + d*x)**2*cosh(a - d*x/2)*cosh(c + d*x)/(4*d) + 3*sinh(a - d*x/2)*cosh(a - d*x/2)*cosh(c + d*x)**3/(8*d) - 31*sinh(c + d*x)**3*cosh(a - d*x/2)**2/(48*d) + sinh(c + d*x)*cosh(a - d*x/2)**2*cosh(c + d*x)**2/d, Eq(b, -d/2)), (-3*x*sinh(a + d*x/2)**2*sinh(c + d*x)**2*cosh(c + d*x)/16 + 3*x*sinh(a + d*x/2)**2*cosh(c + d*x)**3/16 + 3*x*sinh(a + d*x/2)*sinh(c + d*x)**3*cosh(a + d*x/2)/8 - 3*x*sinh(a + d*x/2)*sinh(c + d*x)*cosh(a + d*x/2)*cosh(c + d*x)**2/8 - 3*x*sinh(c + d*x)**2*cosh(a + d*x/2)**2*cosh(c + d*x)/16 + 3*x*cosh(a + d*x/2)**2*cosh(c + d*x)**3/16 + sinh(a + d*x/2)**2*sinh(c + d*x)**3/(48*d) + sinh(a + d*x/2)*sinh(c + d*x)**2*cosh(a + d*x/2)*cosh(c + d*x)/(4*d) - 3*sinh(a + d*x/2)*cosh(a + d*x/2)*cosh(c + d*x)**3/(8*d) - 31*sinh(c + d*x)**3*cosh(a + d*x/2)**2/(48*d) + sinh(c + d*x)*cosh(a + d*x/2)**2*cosh(c + d*x)**2/d, Eq(b, d/2)), (3*x*sinh(a + 3*d*x/2)**2*sinh(c + d*x)**2*cosh(c + d*x)/16 + x*sinh(a + 3*d*x/2)**2*cosh(c + d*x)**3/16 - x*sinh(a + 3*d*x/2)*sinh(c + d*x)**3*cosh(a + 3*d*x/2)/8 - 3*x*sinh(a + 3*d*x/2)*sinh(c + d*x)*cosh(a + 3*d*x/2)*cosh(c + d*x)**2/8 + 3*x*sinh(c + d*x)**2*cosh(a + 3*d*x/2)**2*cosh(c + d*x)/16 + x*cosh(a + 3*d*x/2)**2*cosh(c + d*x)**3/16 + 11*sinh(a + 3*d*x/2)**2*sinh(c + d*x)**3/(48*d) - sinh(a + 3*d*x/2)**2*sinh(c + d*x)*cosh(c + d*x)**2/d + 3*sinh(a + 3*d*x/2)*sinh(c + d*x)**2*cosh(a + 3*d*x/2)*cosh(c + d*x)/(4*d) + 5*sinh(a + 3*d*x/2)*cosh(a + 3*d*x/2)*cosh(c + d*x)**3/(8*d) - 7*sinh(c + d*x)**3*cosh(a + 3*d*x/2)**2/(16*d), Eq(b, 3*d/2)), ((-x*sinh(a + b*x)**2/2 + x*cosh(a + b*x)**2/2 + sinh(a + b*x)*cosh(a + b*x)/(2*b))*cosh(c)**3, Eq(d, 0)), (16*b**4*sinh(a + b*x)**2*sinh(c + d*x)**3/(48*b**4*d - 120*b**2*d**3 + 27*d**5) - 24*b**4*sinh(a + b*x)**2*sinh(c + d*x)*cosh(c + d*x)**2/(48*b**4*d - 120*b**2*d**3 + 27*d**5) - 16*b**4*sinh(c + d*x)**3*cosh(a + b*x)**2/(48*b**4*d - 120*b**2*d**3 + 27*d**5) + 24*b**4*sinh(c + d*x)*cosh(a + b*x)**2*cosh(c + d*x)**2/(48*b**4*d - 120*b**2*d**3 + 27*d**5) + 24*b**3*d*sinh(a + b*x)*cosh(a + b*x)*cosh(c + d*x)**3/(48*b**4*d - 120*b**2*d**3 + 27*d**5) - 40*b**2*d**2*sinh(a + b*x)**2*sinh(c + d*x)**3/(48*b**4*d - 120*b**2*d**3 + 27*d**5) + 42*b**2*d**2*sinh(a + b*x)**2*sinh(c + d*x)*cosh(c + d*x)**2/(48*b**4*d - 120*b**2*d**3 + 27*d**5) + 40*b**2*d**2*sinh(c + d*x)**3*cosh(a + b*x)**2/(48*b**4*d - 120*b**2*d**3 + 27*d**5) - 78*b**2*d**2*sinh(c + d*x)*cosh(a + b*x)**2*cosh(c + d*x)**2/(48*b**4*d - 120*b**2*d**3 + 27*d**5) + 36*b*d**3*sinh(a + b*x)*sinh(c + d*x)**2*cosh(a + b*x)*cosh(c + d*x)/(48*b**4*d - 120*b**2*d**3 + 27*d**5) - 42*b*d**3*sinh(a + b*x)*cosh(a + b*x)*cosh(c + d*x)**3/(48*b**4*d - 120*b**2*d**3 + 27*d**5) - 18*d**4*sinh(c + d*x)**3*cosh(a + b*x)**2/(48*b**4*d - 120*b**2*d**3 + 27*d**5) + 27*d**4*sinh(c + d*x)*cosh(a + b*x)**2*cosh(c + d*x)**2/(48*b**4*d - 120*b**2*d**3 + 27*d**5), True))","A",0
178,-1,0,0,0.000000," ","integrate(cosh(b*x+a)**3*cosh(d*x+c)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
179,1,153,0,1.477463," ","integrate(cosh(d*x+c)*sinh(b*x+a),x)","\begin{cases} x \sinh{\left(a \right)} \cosh{\left(c \right)} & \text{for}\: b = 0 \wedge d = 0 \\\frac{x \sinh{\left(a - d x \right)} \cosh{\left(c + d x \right)}}{2} + \frac{x \sinh{\left(c + d x \right)} \cosh{\left(a - d x \right)}}{2} + \frac{\sinh{\left(a - d x \right)} \sinh{\left(c + d x \right)}}{2 d} & \text{for}\: b = - d \\\frac{x \sinh{\left(a + d x \right)} \cosh{\left(c + d x \right)}}{2} - \frac{x \sinh{\left(c + d x \right)} \cosh{\left(a + d x \right)}}{2} + \frac{\sinh{\left(a + d x \right)} \sinh{\left(c + d x \right)}}{2 d} & \text{for}\: b = d \\\frac{b \cosh{\left(a + b x \right)} \cosh{\left(c + d x \right)}}{b^{2} - d^{2}} - \frac{d \sinh{\left(a + b x \right)} \sinh{\left(c + d x \right)}}{b^{2} - d^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*sinh(a)*cosh(c), Eq(b, 0) & Eq(d, 0)), (x*sinh(a - d*x)*cosh(c + d*x)/2 + x*sinh(c + d*x)*cosh(a - d*x)/2 + sinh(a - d*x)*sinh(c + d*x)/(2*d), Eq(b, -d)), (x*sinh(a + d*x)*cosh(c + d*x)/2 - x*sinh(c + d*x)*cosh(a + d*x)/2 + sinh(a + d*x)*sinh(c + d*x)/(2*d), Eq(b, d)), (b*cosh(a + b*x)*cosh(c + d*x)/(b**2 - d**2) - d*sinh(a + b*x)*sinh(c + d*x)/(b**2 - d**2), True))","A",0
180,1,408,0,6.415251," ","integrate(cosh(d*x+c)**2*sinh(b*x+a),x)","\begin{cases} x \sinh{\left(a \right)} \cosh^{2}{\left(c \right)} & \text{for}\: b = 0 \wedge d = 0 \\\left(- \frac{x \sinh^{2}{\left(c + d x \right)}}{2} + \frac{x \cosh^{2}{\left(c + d x \right)}}{2} + \frac{\sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{2 d}\right) \sinh{\left(a \right)} & \text{for}\: b = 0 \\\frac{x \sinh{\left(a - 2 d x \right)} \sinh^{2}{\left(c + d x \right)}}{4} + \frac{x \sinh{\left(a - 2 d x \right)} \cosh^{2}{\left(c + d x \right)}}{4} + \frac{x \sinh{\left(c + d x \right)} \cosh{\left(a - 2 d x \right)} \cosh{\left(c + d x \right)}}{2} + \frac{3 \sinh{\left(a - 2 d x \right)} \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{4 d} + \frac{\sinh^{2}{\left(c + d x \right)} \cosh{\left(a - 2 d x \right)}}{2 d} & \text{for}\: b = - 2 d \\\frac{x \sinh{\left(a + 2 d x \right)} \sinh^{2}{\left(c + d x \right)}}{4} + \frac{x \sinh{\left(a + 2 d x \right)} \cosh^{2}{\left(c + d x \right)}}{4} - \frac{x \sinh{\left(c + d x \right)} \cosh{\left(a + 2 d x \right)} \cosh{\left(c + d x \right)}}{2} + \frac{3 \sinh{\left(a + 2 d x \right)} \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{4 d} - \frac{\sinh^{2}{\left(c + d x \right)} \cosh{\left(a + 2 d x \right)}}{2 d} & \text{for}\: b = 2 d \\\frac{b^{2} \cosh{\left(a + b x \right)} \cosh^{2}{\left(c + d x \right)}}{b^{3} - 4 b d^{2}} - \frac{2 b d \sinh{\left(a + b x \right)} \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{b^{3} - 4 b d^{2}} + \frac{2 d^{2} \sinh^{2}{\left(c + d x \right)} \cosh{\left(a + b x \right)}}{b^{3} - 4 b d^{2}} - \frac{2 d^{2} \cosh{\left(a + b x \right)} \cosh^{2}{\left(c + d x \right)}}{b^{3} - 4 b d^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*sinh(a)*cosh(c)**2, Eq(b, 0) & Eq(d, 0)), ((-x*sinh(c + d*x)**2/2 + x*cosh(c + d*x)**2/2 + sinh(c + d*x)*cosh(c + d*x)/(2*d))*sinh(a), Eq(b, 0)), (x*sinh(a - 2*d*x)*sinh(c + d*x)**2/4 + x*sinh(a - 2*d*x)*cosh(c + d*x)**2/4 + x*sinh(c + d*x)*cosh(a - 2*d*x)*cosh(c + d*x)/2 + 3*sinh(a - 2*d*x)*sinh(c + d*x)*cosh(c + d*x)/(4*d) + sinh(c + d*x)**2*cosh(a - 2*d*x)/(2*d), Eq(b, -2*d)), (x*sinh(a + 2*d*x)*sinh(c + d*x)**2/4 + x*sinh(a + 2*d*x)*cosh(c + d*x)**2/4 - x*sinh(c + d*x)*cosh(a + 2*d*x)*cosh(c + d*x)/2 + 3*sinh(a + 2*d*x)*sinh(c + d*x)*cosh(c + d*x)/(4*d) - sinh(c + d*x)**2*cosh(a + 2*d*x)/(2*d), Eq(b, 2*d)), (b**2*cosh(a + b*x)*cosh(c + d*x)**2/(b**3 - 4*b*d**2) - 2*b*d*sinh(a + b*x)*sinh(c + d*x)*cosh(c + d*x)/(b**3 - 4*b*d**2) + 2*d**2*sinh(c + d*x)**2*cosh(a + b*x)/(b**3 - 4*b*d**2) - 2*d**2*cosh(a + b*x)*cosh(c + d*x)**2/(b**3 - 4*b*d**2), True))","A",0
181,1,921,0,31.092598," ","integrate(cosh(d*x+c)**3*sinh(b*x+a),x)","\begin{cases} x \sinh{\left(a \right)} \cosh^{3}{\left(c \right)} & \text{for}\: b = 0 \wedge d = 0 \\\frac{3 x \sinh{\left(a - 3 d x \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{8} + \frac{x \sinh{\left(a - 3 d x \right)} \cosh^{3}{\left(c + d x \right)}}{8} + \frac{x \sinh^{3}{\left(c + d x \right)} \cosh{\left(a - 3 d x \right)}}{8} + \frac{3 x \sinh{\left(c + d x \right)} \cosh{\left(a - 3 d x \right)} \cosh^{2}{\left(c + d x \right)}}{8} + \frac{\sinh{\left(a - 3 d x \right)} \sinh^{3}{\left(c + d x \right)}}{8 d} + \frac{\sinh^{2}{\left(c + d x \right)} \cosh{\left(a - 3 d x \right)} \cosh{\left(c + d x \right)}}{4 d} - \frac{7 \cosh{\left(a - 3 d x \right)} \cosh^{3}{\left(c + d x \right)}}{24 d} & \text{for}\: b = - 3 d \\- \frac{3 x \sinh{\left(a - d x \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{8} + \frac{3 x \sinh{\left(a - d x \right)} \cosh^{3}{\left(c + d x \right)}}{8} - \frac{3 x \sinh^{3}{\left(c + d x \right)} \cosh{\left(a - d x \right)}}{8} + \frac{3 x \sinh{\left(c + d x \right)} \cosh{\left(a - d x \right)} \cosh^{2}{\left(c + d x \right)}}{8} + \frac{3 \sinh{\left(a - d x \right)} \sinh^{3}{\left(c + d x \right)}}{8 d} + \frac{3 \sinh^{2}{\left(c + d x \right)} \cosh{\left(a - d x \right)} \cosh{\left(c + d x \right)}}{4 d} - \frac{5 \cosh{\left(a - d x \right)} \cosh^{3}{\left(c + d x \right)}}{8 d} & \text{for}\: b = - d \\- \frac{3 x \sinh{\left(a + d x \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{8} + \frac{3 x \sinh{\left(a + d x \right)} \cosh^{3}{\left(c + d x \right)}}{8} + \frac{3 x \sinh^{3}{\left(c + d x \right)} \cosh{\left(a + d x \right)}}{8} - \frac{3 x \sinh{\left(c + d x \right)} \cosh{\left(a + d x \right)} \cosh^{2}{\left(c + d x \right)}}{8} + \frac{3 \sinh{\left(a + d x \right)} \sinh^{3}{\left(c + d x \right)}}{8 d} - \frac{3 \sinh^{2}{\left(c + d x \right)} \cosh{\left(a + d x \right)} \cosh{\left(c + d x \right)}}{4 d} + \frac{5 \cosh{\left(a + d x \right)} \cosh^{3}{\left(c + d x \right)}}{8 d} & \text{for}\: b = d \\\frac{3 x \sinh{\left(a + 3 d x \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{8} + \frac{x \sinh{\left(a + 3 d x \right)} \cosh^{3}{\left(c + d x \right)}}{8} - \frac{x \sinh^{3}{\left(c + d x \right)} \cosh{\left(a + 3 d x \right)}}{8} - \frac{3 x \sinh{\left(c + d x \right)} \cosh{\left(a + 3 d x \right)} \cosh^{2}{\left(c + d x \right)}}{8} + \frac{\sinh{\left(a + 3 d x \right)} \sinh^{3}{\left(c + d x \right)}}{8 d} - \frac{\sinh^{2}{\left(c + d x \right)} \cosh{\left(a + 3 d x \right)} \cosh{\left(c + d x \right)}}{4 d} + \frac{7 \cosh{\left(a + 3 d x \right)} \cosh^{3}{\left(c + d x \right)}}{24 d} & \text{for}\: b = 3 d \\\frac{b^{3} \cosh{\left(a + b x \right)} \cosh^{3}{\left(c + d x \right)}}{b^{4} - 10 b^{2} d^{2} + 9 d^{4}} - \frac{3 b^{2} d \sinh{\left(a + b x \right)} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{b^{4} - 10 b^{2} d^{2} + 9 d^{4}} + \frac{6 b d^{2} \sinh^{2}{\left(c + d x \right)} \cosh{\left(a + b x \right)} \cosh{\left(c + d x \right)}}{b^{4} - 10 b^{2} d^{2} + 9 d^{4}} - \frac{7 b d^{2} \cosh{\left(a + b x \right)} \cosh^{3}{\left(c + d x \right)}}{b^{4} - 10 b^{2} d^{2} + 9 d^{4}} - \frac{6 d^{3} \sinh{\left(a + b x \right)} \sinh^{3}{\left(c + d x \right)}}{b^{4} - 10 b^{2} d^{2} + 9 d^{4}} + \frac{9 d^{3} \sinh{\left(a + b x \right)} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{b^{4} - 10 b^{2} d^{2} + 9 d^{4}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*sinh(a)*cosh(c)**3, Eq(b, 0) & Eq(d, 0)), (3*x*sinh(a - 3*d*x)*sinh(c + d*x)**2*cosh(c + d*x)/8 + x*sinh(a - 3*d*x)*cosh(c + d*x)**3/8 + x*sinh(c + d*x)**3*cosh(a - 3*d*x)/8 + 3*x*sinh(c + d*x)*cosh(a - 3*d*x)*cosh(c + d*x)**2/8 + sinh(a - 3*d*x)*sinh(c + d*x)**3/(8*d) + sinh(c + d*x)**2*cosh(a - 3*d*x)*cosh(c + d*x)/(4*d) - 7*cosh(a - 3*d*x)*cosh(c + d*x)**3/(24*d), Eq(b, -3*d)), (-3*x*sinh(a - d*x)*sinh(c + d*x)**2*cosh(c + d*x)/8 + 3*x*sinh(a - d*x)*cosh(c + d*x)**3/8 - 3*x*sinh(c + d*x)**3*cosh(a - d*x)/8 + 3*x*sinh(c + d*x)*cosh(a - d*x)*cosh(c + d*x)**2/8 + 3*sinh(a - d*x)*sinh(c + d*x)**3/(8*d) + 3*sinh(c + d*x)**2*cosh(a - d*x)*cosh(c + d*x)/(4*d) - 5*cosh(a - d*x)*cosh(c + d*x)**3/(8*d), Eq(b, -d)), (-3*x*sinh(a + d*x)*sinh(c + d*x)**2*cosh(c + d*x)/8 + 3*x*sinh(a + d*x)*cosh(c + d*x)**3/8 + 3*x*sinh(c + d*x)**3*cosh(a + d*x)/8 - 3*x*sinh(c + d*x)*cosh(a + d*x)*cosh(c + d*x)**2/8 + 3*sinh(a + d*x)*sinh(c + d*x)**3/(8*d) - 3*sinh(c + d*x)**2*cosh(a + d*x)*cosh(c + d*x)/(4*d) + 5*cosh(a + d*x)*cosh(c + d*x)**3/(8*d), Eq(b, d)), (3*x*sinh(a + 3*d*x)*sinh(c + d*x)**2*cosh(c + d*x)/8 + x*sinh(a + 3*d*x)*cosh(c + d*x)**3/8 - x*sinh(c + d*x)**3*cosh(a + 3*d*x)/8 - 3*x*sinh(c + d*x)*cosh(a + 3*d*x)*cosh(c + d*x)**2/8 + sinh(a + 3*d*x)*sinh(c + d*x)**3/(8*d) - sinh(c + d*x)**2*cosh(a + 3*d*x)*cosh(c + d*x)/(4*d) + 7*cosh(a + 3*d*x)*cosh(c + d*x)**3/(24*d), Eq(b, 3*d)), (b**3*cosh(a + b*x)*cosh(c + d*x)**3/(b**4 - 10*b**2*d**2 + 9*d**4) - 3*b**2*d*sinh(a + b*x)*sinh(c + d*x)*cosh(c + d*x)**2/(b**4 - 10*b**2*d**2 + 9*d**4) + 6*b*d**2*sinh(c + d*x)**2*cosh(a + b*x)*cosh(c + d*x)/(b**4 - 10*b**2*d**2 + 9*d**4) - 7*b*d**2*cosh(a + b*x)*cosh(c + d*x)**3/(b**4 - 10*b**2*d**2 + 9*d**4) - 6*d**3*sinh(a + b*x)*sinh(c + d*x)**3/(b**4 - 10*b**2*d**2 + 9*d**4) + 9*d**3*sinh(a + b*x)*sinh(c + d*x)*cosh(c + d*x)**2/(b**4 - 10*b**2*d**2 + 9*d**4), True))","A",0
182,1,411,0,6.535257," ","integrate(cosh(d*x+c)*sinh(b*x+a)**2,x)","\begin{cases} x \sinh^{2}{\left(a \right)} \cosh{\left(c \right)} & \text{for}\: b = 0 \wedge d = 0 \\\frac{x \sinh^{2}{\left(a - \frac{d x}{2} \right)} \cosh{\left(c + d x \right)}}{4} + \frac{x \sinh{\left(a - \frac{d x}{2} \right)} \sinh{\left(c + d x \right)} \cosh{\left(a - \frac{d x}{2} \right)}}{2} + \frac{x \cosh^{2}{\left(a - \frac{d x}{2} \right)} \cosh{\left(c + d x \right)}}{4} - \frac{3 \sinh{\left(a - \frac{d x}{2} \right)} \cosh{\left(a - \frac{d x}{2} \right)} \cosh{\left(c + d x \right)}}{2 d} - \frac{\sinh{\left(c + d x \right)} \cosh^{2}{\left(a - \frac{d x}{2} \right)}}{d} & \text{for}\: b = - \frac{d}{2} \\\frac{x \sinh^{2}{\left(a + \frac{d x}{2} \right)} \cosh{\left(c + d x \right)}}{4} - \frac{x \sinh{\left(a + \frac{d x}{2} \right)} \sinh{\left(c + d x \right)} \cosh{\left(a + \frac{d x}{2} \right)}}{2} + \frac{x \cosh^{2}{\left(a + \frac{d x}{2} \right)} \cosh{\left(c + d x \right)}}{4} + \frac{3 \sinh{\left(a + \frac{d x}{2} \right)} \cosh{\left(a + \frac{d x}{2} \right)} \cosh{\left(c + d x \right)}}{2 d} - \frac{\sinh{\left(c + d x \right)} \cosh^{2}{\left(a + \frac{d x}{2} \right)}}{d} & \text{for}\: b = \frac{d}{2} \\\left(\frac{x \sinh^{2}{\left(a + b x \right)}}{2} - \frac{x \cosh^{2}{\left(a + b x \right)}}{2} + \frac{\sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{2 b}\right) \cosh{\left(c \right)} & \text{for}\: d = 0 \\\frac{2 b^{2} \sinh^{2}{\left(a + b x \right)} \sinh{\left(c + d x \right)}}{4 b^{2} d - d^{3}} - \frac{2 b^{2} \sinh{\left(c + d x \right)} \cosh^{2}{\left(a + b x \right)}}{4 b^{2} d - d^{3}} + \frac{2 b d \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)} \cosh{\left(c + d x \right)}}{4 b^{2} d - d^{3}} - \frac{d^{2} \sinh^{2}{\left(a + b x \right)} \sinh{\left(c + d x \right)}}{4 b^{2} d - d^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*sinh(a)**2*cosh(c), Eq(b, 0) & Eq(d, 0)), (x*sinh(a - d*x/2)**2*cosh(c + d*x)/4 + x*sinh(a - d*x/2)*sinh(c + d*x)*cosh(a - d*x/2)/2 + x*cosh(a - d*x/2)**2*cosh(c + d*x)/4 - 3*sinh(a - d*x/2)*cosh(a - d*x/2)*cosh(c + d*x)/(2*d) - sinh(c + d*x)*cosh(a - d*x/2)**2/d, Eq(b, -d/2)), (x*sinh(a + d*x/2)**2*cosh(c + d*x)/4 - x*sinh(a + d*x/2)*sinh(c + d*x)*cosh(a + d*x/2)/2 + x*cosh(a + d*x/2)**2*cosh(c + d*x)/4 + 3*sinh(a + d*x/2)*cosh(a + d*x/2)*cosh(c + d*x)/(2*d) - sinh(c + d*x)*cosh(a + d*x/2)**2/d, Eq(b, d/2)), ((x*sinh(a + b*x)**2/2 - x*cosh(a + b*x)**2/2 + sinh(a + b*x)*cosh(a + b*x)/(2*b))*cosh(c), Eq(d, 0)), (2*b**2*sinh(a + b*x)**2*sinh(c + d*x)/(4*b**2*d - d**3) - 2*b**2*sinh(c + d*x)*cosh(a + b*x)**2/(4*b**2*d - d**3) + 2*b*d*sinh(a + b*x)*cosh(a + b*x)*cosh(c + d*x)/(4*b**2*d - d**3) - d**2*sinh(a + b*x)**2*sinh(c + d*x)/(4*b**2*d - d**3), True))","A",0
183,1,1027,0,21.977827," ","integrate(cosh(d*x+c)**2*sinh(b*x+a)**2,x)","\begin{cases} x \sinh^{2}{\left(a \right)} \cosh^{2}{\left(c \right)} & \text{for}\: b = 0 \wedge d = 0 \\\left(- \frac{x \sinh^{2}{\left(c + d x \right)}}{2} + \frac{x \cosh^{2}{\left(c + d x \right)}}{2} + \frac{\sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{2 d}\right) \sinh^{2}{\left(a \right)} & \text{for}\: b = 0 \\- \frac{x \sinh^{2}{\left(a - d x \right)} \sinh^{2}{\left(c + d x \right)}}{8} + \frac{3 x \sinh^{2}{\left(a - d x \right)} \cosh^{2}{\left(c + d x \right)}}{8} + \frac{x \sinh{\left(a - d x \right)} \sinh{\left(c + d x \right)} \cosh{\left(a - d x \right)} \cosh{\left(c + d x \right)}}{2} + \frac{3 x \sinh^{2}{\left(c + d x \right)} \cosh^{2}{\left(a - d x \right)}}{8} - \frac{x \cosh^{2}{\left(a - d x \right)} \cosh^{2}{\left(c + d x \right)}}{8} + \frac{5 \sinh^{2}{\left(a - d x \right)} \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{8 d} + \frac{\sinh{\left(a - d x \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(a - d x \right)}}{2 d} + \frac{\sinh{\left(c + d x \right)} \cosh^{2}{\left(a - d x \right)} \cosh{\left(c + d x \right)}}{8 d} & \text{for}\: b = - d \\- \frac{x \sinh^{2}{\left(a + d x \right)} \sinh^{2}{\left(c + d x \right)}}{8} + \frac{3 x \sinh^{2}{\left(a + d x \right)} \cosh^{2}{\left(c + d x \right)}}{8} - \frac{x \sinh{\left(a + d x \right)} \sinh{\left(c + d x \right)} \cosh{\left(a + d x \right)} \cosh{\left(c + d x \right)}}{2} + \frac{3 x \sinh^{2}{\left(c + d x \right)} \cosh^{2}{\left(a + d x \right)}}{8} - \frac{x \cosh^{2}{\left(a + d x \right)} \cosh^{2}{\left(c + d x \right)}}{8} + \frac{\sinh{\left(a + d x \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(a + d x \right)}}{8 d} + \frac{5 \sinh{\left(a + d x \right)} \cosh{\left(a + d x \right)} \cosh^{2}{\left(c + d x \right)}}{8 d} - \frac{\sinh{\left(c + d x \right)} \cosh^{2}{\left(a + d x \right)} \cosh{\left(c + d x \right)}}{2 d} & \text{for}\: b = d \\\left(\frac{x \sinh^{2}{\left(a + b x \right)}}{2} - \frac{x \cosh^{2}{\left(a + b x \right)}}{2} + \frac{\sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{2 b}\right) \cosh^{2}{\left(c \right)} & \text{for}\: d = 0 \\- \frac{b^{3} d x \sinh^{2}{\left(a + b x \right)} \sinh^{2}{\left(c + d x \right)}}{4 b^{3} d - 4 b d^{3}} + \frac{b^{3} d x \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(c + d x \right)}}{4 b^{3} d - 4 b d^{3}} + \frac{b^{3} d x \sinh^{2}{\left(c + d x \right)} \cosh^{2}{\left(a + b x \right)}}{4 b^{3} d - 4 b d^{3}} - \frac{b^{3} d x \cosh^{2}{\left(a + b x \right)} \cosh^{2}{\left(c + d x \right)}}{4 b^{3} d - 4 b d^{3}} + \frac{b^{3} \sinh^{2}{\left(a + b x \right)} \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{4 b^{3} d - 4 b d^{3}} - \frac{b^{3} \sinh{\left(c + d x \right)} \cosh^{2}{\left(a + b x \right)} \cosh{\left(c + d x \right)}}{4 b^{3} d - 4 b d^{3}} + \frac{2 b^{2} d \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)} \cosh^{2}{\left(c + d x \right)}}{4 b^{3} d - 4 b d^{3}} + \frac{b d^{3} x \sinh^{2}{\left(a + b x \right)} \sinh^{2}{\left(c + d x \right)}}{4 b^{3} d - 4 b d^{3}} - \frac{b d^{3} x \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(c + d x \right)}}{4 b^{3} d - 4 b d^{3}} - \frac{b d^{3} x \sinh^{2}{\left(c + d x \right)} \cosh^{2}{\left(a + b x \right)}}{4 b^{3} d - 4 b d^{3}} + \frac{b d^{3} x \cosh^{2}{\left(a + b x \right)} \cosh^{2}{\left(c + d x \right)}}{4 b^{3} d - 4 b d^{3}} - \frac{2 b d^{2} \sinh^{2}{\left(a + b x \right)} \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{4 b^{3} d - 4 b d^{3}} + \frac{d^{3} \sinh{\left(a + b x \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(a + b x \right)}}{4 b^{3} d - 4 b d^{3}} - \frac{d^{3} \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)} \cosh^{2}{\left(c + d x \right)}}{4 b^{3} d - 4 b d^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*sinh(a)**2*cosh(c)**2, Eq(b, 0) & Eq(d, 0)), ((-x*sinh(c + d*x)**2/2 + x*cosh(c + d*x)**2/2 + sinh(c + d*x)*cosh(c + d*x)/(2*d))*sinh(a)**2, Eq(b, 0)), (-x*sinh(a - d*x)**2*sinh(c + d*x)**2/8 + 3*x*sinh(a - d*x)**2*cosh(c + d*x)**2/8 + x*sinh(a - d*x)*sinh(c + d*x)*cosh(a - d*x)*cosh(c + d*x)/2 + 3*x*sinh(c + d*x)**2*cosh(a - d*x)**2/8 - x*cosh(a - d*x)**2*cosh(c + d*x)**2/8 + 5*sinh(a - d*x)**2*sinh(c + d*x)*cosh(c + d*x)/(8*d) + sinh(a - d*x)*sinh(c + d*x)**2*cosh(a - d*x)/(2*d) + sinh(c + d*x)*cosh(a - d*x)**2*cosh(c + d*x)/(8*d), Eq(b, -d)), (-x*sinh(a + d*x)**2*sinh(c + d*x)**2/8 + 3*x*sinh(a + d*x)**2*cosh(c + d*x)**2/8 - x*sinh(a + d*x)*sinh(c + d*x)*cosh(a + d*x)*cosh(c + d*x)/2 + 3*x*sinh(c + d*x)**2*cosh(a + d*x)**2/8 - x*cosh(a + d*x)**2*cosh(c + d*x)**2/8 + sinh(a + d*x)*sinh(c + d*x)**2*cosh(a + d*x)/(8*d) + 5*sinh(a + d*x)*cosh(a + d*x)*cosh(c + d*x)**2/(8*d) - sinh(c + d*x)*cosh(a + d*x)**2*cosh(c + d*x)/(2*d), Eq(b, d)), ((x*sinh(a + b*x)**2/2 - x*cosh(a + b*x)**2/2 + sinh(a + b*x)*cosh(a + b*x)/(2*b))*cosh(c)**2, Eq(d, 0)), (-b**3*d*x*sinh(a + b*x)**2*sinh(c + d*x)**2/(4*b**3*d - 4*b*d**3) + b**3*d*x*sinh(a + b*x)**2*cosh(c + d*x)**2/(4*b**3*d - 4*b*d**3) + b**3*d*x*sinh(c + d*x)**2*cosh(a + b*x)**2/(4*b**3*d - 4*b*d**3) - b**3*d*x*cosh(a + b*x)**2*cosh(c + d*x)**2/(4*b**3*d - 4*b*d**3) + b**3*sinh(a + b*x)**2*sinh(c + d*x)*cosh(c + d*x)/(4*b**3*d - 4*b*d**3) - b**3*sinh(c + d*x)*cosh(a + b*x)**2*cosh(c + d*x)/(4*b**3*d - 4*b*d**3) + 2*b**2*d*sinh(a + b*x)*cosh(a + b*x)*cosh(c + d*x)**2/(4*b**3*d - 4*b*d**3) + b*d**3*x*sinh(a + b*x)**2*sinh(c + d*x)**2/(4*b**3*d - 4*b*d**3) - b*d**3*x*sinh(a + b*x)**2*cosh(c + d*x)**2/(4*b**3*d - 4*b*d**3) - b*d**3*x*sinh(c + d*x)**2*cosh(a + b*x)**2/(4*b**3*d - 4*b*d**3) + b*d**3*x*cosh(a + b*x)**2*cosh(c + d*x)**2/(4*b**3*d - 4*b*d**3) - 2*b*d**2*sinh(a + b*x)**2*sinh(c + d*x)*cosh(c + d*x)/(4*b**3*d - 4*b*d**3) + d**3*sinh(a + b*x)*sinh(c + d*x)**2*cosh(a + b*x)/(4*b**3*d - 4*b*d**3) - d**3*sinh(a + b*x)*cosh(a + b*x)*cosh(c + d*x)**2/(4*b**3*d - 4*b*d**3), True))","A",0
184,1,2006,0,108.484039," ","integrate(cosh(d*x+c)**3*sinh(b*x+a)**2,x)","\begin{cases} x \sinh^{2}{\left(a \right)} \cosh^{3}{\left(c \right)} & \text{for}\: b = 0 \wedge d = 0 \\\frac{3 x \sinh^{2}{\left(a - \frac{3 d x}{2} \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{16} + \frac{x \sinh^{2}{\left(a - \frac{3 d x}{2} \right)} \cosh^{3}{\left(c + d x \right)}}{16} + \frac{x \sinh{\left(a - \frac{3 d x}{2} \right)} \sinh^{3}{\left(c + d x \right)} \cosh{\left(a - \frac{3 d x}{2} \right)}}{8} + \frac{3 x \sinh{\left(a - \frac{3 d x}{2} \right)} \sinh{\left(c + d x \right)} \cosh{\left(a - \frac{3 d x}{2} \right)} \cosh^{2}{\left(c + d x \right)}}{8} + \frac{3 x \sinh^{2}{\left(c + d x \right)} \cosh^{2}{\left(a - \frac{3 d x}{2} \right)} \cosh{\left(c + d x \right)}}{16} + \frac{x \cosh^{2}{\left(a - \frac{3 d x}{2} \right)} \cosh^{3}{\left(c + d x \right)}}{16} - \frac{5 \sinh^{2}{\left(a - \frac{3 d x}{2} \right)} \sinh^{3}{\left(c + d x \right)}}{48 d} + \frac{\sinh^{2}{\left(a - \frac{3 d x}{2} \right)} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{d} + \frac{5 \sinh{\left(a - \frac{3 d x}{2} \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(a - \frac{3 d x}{2} \right)} \cosh{\left(c + d x \right)}}{4 d} + \frac{\sinh{\left(a - \frac{3 d x}{2} \right)} \cosh{\left(a - \frac{3 d x}{2} \right)} \cosh^{3}{\left(c + d x \right)}}{24 d} + \frac{9 \sinh^{3}{\left(c + d x \right)} \cosh^{2}{\left(a - \frac{3 d x}{2} \right)}}{16 d} & \text{for}\: b = - \frac{3 d}{2} \\- \frac{3 x \sinh^{2}{\left(a - \frac{d x}{2} \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{16} + \frac{3 x \sinh^{2}{\left(a - \frac{d x}{2} \right)} \cosh^{3}{\left(c + d x \right)}}{16} - \frac{3 x \sinh{\left(a - \frac{d x}{2} \right)} \sinh^{3}{\left(c + d x \right)} \cosh{\left(a - \frac{d x}{2} \right)}}{8} + \frac{3 x \sinh{\left(a - \frac{d x}{2} \right)} \sinh{\left(c + d x \right)} \cosh{\left(a - \frac{d x}{2} \right)} \cosh^{2}{\left(c + d x \right)}}{8} - \frac{3 x \sinh^{2}{\left(c + d x \right)} \cosh^{2}{\left(a - \frac{d x}{2} \right)} \cosh{\left(c + d x \right)}}{16} + \frac{3 x \cosh^{2}{\left(a - \frac{d x}{2} \right)} \cosh^{3}{\left(c + d x \right)}}{16} + \frac{17 \sinh^{2}{\left(a - \frac{d x}{2} \right)} \sinh^{3}{\left(c + d x \right)}}{48 d} + \frac{7 \sinh{\left(a - \frac{d x}{2} \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(a - \frac{d x}{2} \right)} \cosh{\left(c + d x \right)}}{4 d} - \frac{13 \sinh{\left(a - \frac{d x}{2} \right)} \cosh{\left(a - \frac{d x}{2} \right)} \cosh^{3}{\left(c + d x \right)}}{8 d} + \frac{49 \sinh^{3}{\left(c + d x \right)} \cosh^{2}{\left(a - \frac{d x}{2} \right)}}{48 d} - \frac{\sinh{\left(c + d x \right)} \cosh^{2}{\left(a - \frac{d x}{2} \right)} \cosh^{2}{\left(c + d x \right)}}{d} & \text{for}\: b = - \frac{d}{2} \\- \frac{3 x \sinh^{2}{\left(a + \frac{d x}{2} \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{16} + \frac{3 x \sinh^{2}{\left(a + \frac{d x}{2} \right)} \cosh^{3}{\left(c + d x \right)}}{16} + \frac{3 x \sinh{\left(a + \frac{d x}{2} \right)} \sinh^{3}{\left(c + d x \right)} \cosh{\left(a + \frac{d x}{2} \right)}}{8} - \frac{3 x \sinh{\left(a + \frac{d x}{2} \right)} \sinh{\left(c + d x \right)} \cosh{\left(a + \frac{d x}{2} \right)} \cosh^{2}{\left(c + d x \right)}}{8} - \frac{3 x \sinh^{2}{\left(c + d x \right)} \cosh^{2}{\left(a + \frac{d x}{2} \right)} \cosh{\left(c + d x \right)}}{16} + \frac{3 x \cosh^{2}{\left(a + \frac{d x}{2} \right)} \cosh^{3}{\left(c + d x \right)}}{16} + \frac{17 \sinh^{2}{\left(a + \frac{d x}{2} \right)} \sinh^{3}{\left(c + d x \right)}}{48 d} - \frac{7 \sinh{\left(a + \frac{d x}{2} \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(a + \frac{d x}{2} \right)} \cosh{\left(c + d x \right)}}{4 d} + \frac{13 \sinh{\left(a + \frac{d x}{2} \right)} \cosh{\left(a + \frac{d x}{2} \right)} \cosh^{3}{\left(c + d x \right)}}{8 d} + \frac{49 \sinh^{3}{\left(c + d x \right)} \cosh^{2}{\left(a + \frac{d x}{2} \right)}}{48 d} - \frac{\sinh{\left(c + d x \right)} \cosh^{2}{\left(a + \frac{d x}{2} \right)} \cosh^{2}{\left(c + d x \right)}}{d} & \text{for}\: b = \frac{d}{2} \\\frac{3 x \sinh^{2}{\left(a + \frac{3 d x}{2} \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{16} + \frac{x \sinh^{2}{\left(a + \frac{3 d x}{2} \right)} \cosh^{3}{\left(c + d x \right)}}{16} - \frac{x \sinh{\left(a + \frac{3 d x}{2} \right)} \sinh^{3}{\left(c + d x \right)} \cosh{\left(a + \frac{3 d x}{2} \right)}}{8} - \frac{3 x \sinh{\left(a + \frac{3 d x}{2} \right)} \sinh{\left(c + d x \right)} \cosh{\left(a + \frac{3 d x}{2} \right)} \cosh^{2}{\left(c + d x \right)}}{8} + \frac{3 x \sinh^{2}{\left(c + d x \right)} \cosh^{2}{\left(a + \frac{3 d x}{2} \right)} \cosh{\left(c + d x \right)}}{16} + \frac{x \cosh^{2}{\left(a + \frac{3 d x}{2} \right)} \cosh^{3}{\left(c + d x \right)}}{16} - \frac{5 \sinh^{2}{\left(a + \frac{3 d x}{2} \right)} \sinh^{3}{\left(c + d x \right)}}{48 d} + \frac{\sinh^{2}{\left(a + \frac{3 d x}{2} \right)} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{d} - \frac{5 \sinh{\left(a + \frac{3 d x}{2} \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(a + \frac{3 d x}{2} \right)} \cosh{\left(c + d x \right)}}{4 d} - \frac{\sinh{\left(a + \frac{3 d x}{2} \right)} \cosh{\left(a + \frac{3 d x}{2} \right)} \cosh^{3}{\left(c + d x \right)}}{24 d} + \frac{9 \sinh^{3}{\left(c + d x \right)} \cosh^{2}{\left(a + \frac{3 d x}{2} \right)}}{16 d} & \text{for}\: b = \frac{3 d}{2} \\\left(\frac{x \sinh^{2}{\left(a + b x \right)}}{2} - \frac{x \cosh^{2}{\left(a + b x \right)}}{2} + \frac{\sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{2 b}\right) \cosh^{3}{\left(c \right)} & \text{for}\: d = 0 \\- \frac{16 b^{4} \sinh^{2}{\left(a + b x \right)} \sinh^{3}{\left(c + d x \right)}}{48 b^{4} d - 120 b^{2} d^{3} + 27 d^{5}} + \frac{24 b^{4} \sinh^{2}{\left(a + b x \right)} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{48 b^{4} d - 120 b^{2} d^{3} + 27 d^{5}} + \frac{16 b^{4} \sinh^{3}{\left(c + d x \right)} \cosh^{2}{\left(a + b x \right)}}{48 b^{4} d - 120 b^{2} d^{3} + 27 d^{5}} - \frac{24 b^{4} \sinh{\left(c + d x \right)} \cosh^{2}{\left(a + b x \right)} \cosh^{2}{\left(c + d x \right)}}{48 b^{4} d - 120 b^{2} d^{3} + 27 d^{5}} + \frac{24 b^{3} d \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)} \cosh^{3}{\left(c + d x \right)}}{48 b^{4} d - 120 b^{2} d^{3} + 27 d^{5}} + \frac{40 b^{2} d^{2} \sinh^{2}{\left(a + b x \right)} \sinh^{3}{\left(c + d x \right)}}{48 b^{4} d - 120 b^{2} d^{3} + 27 d^{5}} - \frac{78 b^{2} d^{2} \sinh^{2}{\left(a + b x \right)} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{48 b^{4} d - 120 b^{2} d^{3} + 27 d^{5}} - \frac{40 b^{2} d^{2} \sinh^{3}{\left(c + d x \right)} \cosh^{2}{\left(a + b x \right)}}{48 b^{4} d - 120 b^{2} d^{3} + 27 d^{5}} + \frac{42 b^{2} d^{2} \sinh{\left(c + d x \right)} \cosh^{2}{\left(a + b x \right)} \cosh^{2}{\left(c + d x \right)}}{48 b^{4} d - 120 b^{2} d^{3} + 27 d^{5}} + \frac{36 b d^{3} \sinh{\left(a + b x \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(a + b x \right)} \cosh{\left(c + d x \right)}}{48 b^{4} d - 120 b^{2} d^{3} + 27 d^{5}} - \frac{42 b d^{3} \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)} \cosh^{3}{\left(c + d x \right)}}{48 b^{4} d - 120 b^{2} d^{3} + 27 d^{5}} - \frac{18 d^{4} \sinh^{2}{\left(a + b x \right)} \sinh^{3}{\left(c + d x \right)}}{48 b^{4} d - 120 b^{2} d^{3} + 27 d^{5}} + \frac{27 d^{4} \sinh^{2}{\left(a + b x \right)} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{48 b^{4} d - 120 b^{2} d^{3} + 27 d^{5}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*sinh(a)**2*cosh(c)**3, Eq(b, 0) & Eq(d, 0)), (3*x*sinh(a - 3*d*x/2)**2*sinh(c + d*x)**2*cosh(c + d*x)/16 + x*sinh(a - 3*d*x/2)**2*cosh(c + d*x)**3/16 + x*sinh(a - 3*d*x/2)*sinh(c + d*x)**3*cosh(a - 3*d*x/2)/8 + 3*x*sinh(a - 3*d*x/2)*sinh(c + d*x)*cosh(a - 3*d*x/2)*cosh(c + d*x)**2/8 + 3*x*sinh(c + d*x)**2*cosh(a - 3*d*x/2)**2*cosh(c + d*x)/16 + x*cosh(a - 3*d*x/2)**2*cosh(c + d*x)**3/16 - 5*sinh(a - 3*d*x/2)**2*sinh(c + d*x)**3/(48*d) + sinh(a - 3*d*x/2)**2*sinh(c + d*x)*cosh(c + d*x)**2/d + 5*sinh(a - 3*d*x/2)*sinh(c + d*x)**2*cosh(a - 3*d*x/2)*cosh(c + d*x)/(4*d) + sinh(a - 3*d*x/2)*cosh(a - 3*d*x/2)*cosh(c + d*x)**3/(24*d) + 9*sinh(c + d*x)**3*cosh(a - 3*d*x/2)**2/(16*d), Eq(b, -3*d/2)), (-3*x*sinh(a - d*x/2)**2*sinh(c + d*x)**2*cosh(c + d*x)/16 + 3*x*sinh(a - d*x/2)**2*cosh(c + d*x)**3/16 - 3*x*sinh(a - d*x/2)*sinh(c + d*x)**3*cosh(a - d*x/2)/8 + 3*x*sinh(a - d*x/2)*sinh(c + d*x)*cosh(a - d*x/2)*cosh(c + d*x)**2/8 - 3*x*sinh(c + d*x)**2*cosh(a - d*x/2)**2*cosh(c + d*x)/16 + 3*x*cosh(a - d*x/2)**2*cosh(c + d*x)**3/16 + 17*sinh(a - d*x/2)**2*sinh(c + d*x)**3/(48*d) + 7*sinh(a - d*x/2)*sinh(c + d*x)**2*cosh(a - d*x/2)*cosh(c + d*x)/(4*d) - 13*sinh(a - d*x/2)*cosh(a - d*x/2)*cosh(c + d*x)**3/(8*d) + 49*sinh(c + d*x)**3*cosh(a - d*x/2)**2/(48*d) - sinh(c + d*x)*cosh(a - d*x/2)**2*cosh(c + d*x)**2/d, Eq(b, -d/2)), (-3*x*sinh(a + d*x/2)**2*sinh(c + d*x)**2*cosh(c + d*x)/16 + 3*x*sinh(a + d*x/2)**2*cosh(c + d*x)**3/16 + 3*x*sinh(a + d*x/2)*sinh(c + d*x)**3*cosh(a + d*x/2)/8 - 3*x*sinh(a + d*x/2)*sinh(c + d*x)*cosh(a + d*x/2)*cosh(c + d*x)**2/8 - 3*x*sinh(c + d*x)**2*cosh(a + d*x/2)**2*cosh(c + d*x)/16 + 3*x*cosh(a + d*x/2)**2*cosh(c + d*x)**3/16 + 17*sinh(a + d*x/2)**2*sinh(c + d*x)**3/(48*d) - 7*sinh(a + d*x/2)*sinh(c + d*x)**2*cosh(a + d*x/2)*cosh(c + d*x)/(4*d) + 13*sinh(a + d*x/2)*cosh(a + d*x/2)*cosh(c + d*x)**3/(8*d) + 49*sinh(c + d*x)**3*cosh(a + d*x/2)**2/(48*d) - sinh(c + d*x)*cosh(a + d*x/2)**2*cosh(c + d*x)**2/d, Eq(b, d/2)), (3*x*sinh(a + 3*d*x/2)**2*sinh(c + d*x)**2*cosh(c + d*x)/16 + x*sinh(a + 3*d*x/2)**2*cosh(c + d*x)**3/16 - x*sinh(a + 3*d*x/2)*sinh(c + d*x)**3*cosh(a + 3*d*x/2)/8 - 3*x*sinh(a + 3*d*x/2)*sinh(c + d*x)*cosh(a + 3*d*x/2)*cosh(c + d*x)**2/8 + 3*x*sinh(c + d*x)**2*cosh(a + 3*d*x/2)**2*cosh(c + d*x)/16 + x*cosh(a + 3*d*x/2)**2*cosh(c + d*x)**3/16 - 5*sinh(a + 3*d*x/2)**2*sinh(c + d*x)**3/(48*d) + sinh(a + 3*d*x/2)**2*sinh(c + d*x)*cosh(c + d*x)**2/d - 5*sinh(a + 3*d*x/2)*sinh(c + d*x)**2*cosh(a + 3*d*x/2)*cosh(c + d*x)/(4*d) - sinh(a + 3*d*x/2)*cosh(a + 3*d*x/2)*cosh(c + d*x)**3/(24*d) + 9*sinh(c + d*x)**3*cosh(a + 3*d*x/2)**2/(16*d), Eq(b, 3*d/2)), ((x*sinh(a + b*x)**2/2 - x*cosh(a + b*x)**2/2 + sinh(a + b*x)*cosh(a + b*x)/(2*b))*cosh(c)**3, Eq(d, 0)), (-16*b**4*sinh(a + b*x)**2*sinh(c + d*x)**3/(48*b**4*d - 120*b**2*d**3 + 27*d**5) + 24*b**4*sinh(a + b*x)**2*sinh(c + d*x)*cosh(c + d*x)**2/(48*b**4*d - 120*b**2*d**3 + 27*d**5) + 16*b**4*sinh(c + d*x)**3*cosh(a + b*x)**2/(48*b**4*d - 120*b**2*d**3 + 27*d**5) - 24*b**4*sinh(c + d*x)*cosh(a + b*x)**2*cosh(c + d*x)**2/(48*b**4*d - 120*b**2*d**3 + 27*d**5) + 24*b**3*d*sinh(a + b*x)*cosh(a + b*x)*cosh(c + d*x)**3/(48*b**4*d - 120*b**2*d**3 + 27*d**5) + 40*b**2*d**2*sinh(a + b*x)**2*sinh(c + d*x)**3/(48*b**4*d - 120*b**2*d**3 + 27*d**5) - 78*b**2*d**2*sinh(a + b*x)**2*sinh(c + d*x)*cosh(c + d*x)**2/(48*b**4*d - 120*b**2*d**3 + 27*d**5) - 40*b**2*d**2*sinh(c + d*x)**3*cosh(a + b*x)**2/(48*b**4*d - 120*b**2*d**3 + 27*d**5) + 42*b**2*d**2*sinh(c + d*x)*cosh(a + b*x)**2*cosh(c + d*x)**2/(48*b**4*d - 120*b**2*d**3 + 27*d**5) + 36*b*d**3*sinh(a + b*x)*sinh(c + d*x)**2*cosh(a + b*x)*cosh(c + d*x)/(48*b**4*d - 120*b**2*d**3 + 27*d**5) - 42*b*d**3*sinh(a + b*x)*cosh(a + b*x)*cosh(c + d*x)**3/(48*b**4*d - 120*b**2*d**3 + 27*d**5) - 18*d**4*sinh(a + b*x)**2*sinh(c + d*x)**3/(48*b**4*d - 120*b**2*d**3 + 27*d**5) + 27*d**4*sinh(a + b*x)**2*sinh(c + d*x)*cosh(c + d*x)**2/(48*b**4*d - 120*b**2*d**3 + 27*d**5), True))","A",0
185,1,935,0,30.371897," ","integrate(cosh(d*x+c)*sinh(b*x+a)**3,x)","\begin{cases} x \sinh^{3}{\left(a \right)} \cosh{\left(c \right)} & \text{for}\: b = 0 \wedge d = 0 \\\frac{3 x \sinh^{3}{\left(a - d x \right)} \cosh{\left(c + d x \right)}}{8} + \frac{3 x \sinh^{2}{\left(a - d x \right)} \sinh{\left(c + d x \right)} \cosh{\left(a - d x \right)}}{8} - \frac{3 x \sinh{\left(a - d x \right)} \cosh^{2}{\left(a - d x \right)} \cosh{\left(c + d x \right)}}{8} - \frac{3 x \sinh{\left(c + d x \right)} \cosh^{3}{\left(a - d x \right)}}{8} - \frac{\sinh^{3}{\left(a - d x \right)} \sinh{\left(c + d x \right)}}{8 d} - \frac{3 \sinh^{2}{\left(a - d x \right)} \cosh{\left(a - d x \right)} \cosh{\left(c + d x \right)}}{4 d} + \frac{3 \cosh^{3}{\left(a - d x \right)} \cosh{\left(c + d x \right)}}{8 d} & \text{for}\: b = - d \\\frac{x \sinh^{3}{\left(a - \frac{d x}{3} \right)} \cosh{\left(c + d x \right)}}{8} + \frac{3 x \sinh^{2}{\left(a - \frac{d x}{3} \right)} \sinh{\left(c + d x \right)} \cosh{\left(a - \frac{d x}{3} \right)}}{8} + \frac{3 x \sinh{\left(a - \frac{d x}{3} \right)} \cosh^{2}{\left(a - \frac{d x}{3} \right)} \cosh{\left(c + d x \right)}}{8} + \frac{x \sinh{\left(c + d x \right)} \cosh^{3}{\left(a - \frac{d x}{3} \right)}}{8} + \frac{7 \sinh^{3}{\left(a - \frac{d x}{3} \right)} \sinh{\left(c + d x \right)}}{8 d} - \frac{3 \sinh{\left(a - \frac{d x}{3} \right)} \sinh{\left(c + d x \right)} \cosh^{2}{\left(a - \frac{d x}{3} \right)}}{4 d} - \frac{3 \cosh^{3}{\left(a - \frac{d x}{3} \right)} \cosh{\left(c + d x \right)}}{8 d} & \text{for}\: b = - \frac{d}{3} \\\frac{x \sinh^{3}{\left(a + \frac{d x}{3} \right)} \cosh{\left(c + d x \right)}}{8} - \frac{3 x \sinh^{2}{\left(a + \frac{d x}{3} \right)} \sinh{\left(c + d x \right)} \cosh{\left(a + \frac{d x}{3} \right)}}{8} + \frac{3 x \sinh{\left(a + \frac{d x}{3} \right)} \cosh^{2}{\left(a + \frac{d x}{3} \right)} \cosh{\left(c + d x \right)}}{8} - \frac{x \sinh{\left(c + d x \right)} \cosh^{3}{\left(a + \frac{d x}{3} \right)}}{8} + \frac{9 \sinh^{3}{\left(a + \frac{d x}{3} \right)} \sinh{\left(c + d x \right)}}{8 d} - \frac{3 \sinh^{2}{\left(a + \frac{d x}{3} \right)} \cosh{\left(a + \frac{d x}{3} \right)} \cosh{\left(c + d x \right)}}{4 d} + \frac{\cosh^{3}{\left(a + \frac{d x}{3} \right)} \cosh{\left(c + d x \right)}}{8 d} & \text{for}\: b = \frac{d}{3} \\\frac{3 x \sinh^{3}{\left(a + d x \right)} \cosh{\left(c + d x \right)}}{8} - \frac{3 x \sinh^{2}{\left(a + d x \right)} \sinh{\left(c + d x \right)} \cosh{\left(a + d x \right)}}{8} - \frac{3 x \sinh{\left(a + d x \right)} \cosh^{2}{\left(a + d x \right)} \cosh{\left(c + d x \right)}}{8} + \frac{3 x \sinh{\left(c + d x \right)} \cosh^{3}{\left(a + d x \right)}}{8} + \frac{5 \sinh^{3}{\left(a + d x \right)} \sinh{\left(c + d x \right)}}{8 d} - \frac{3 \sinh{\left(a + d x \right)} \sinh{\left(c + d x \right)} \cosh^{2}{\left(a + d x \right)}}{4 d} + \frac{3 \cosh^{3}{\left(a + d x \right)} \cosh{\left(c + d x \right)}}{8 d} & \text{for}\: b = d \\\frac{9 b^{3} \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)} \cosh{\left(c + d x \right)}}{9 b^{4} - 10 b^{2} d^{2} + d^{4}} - \frac{6 b^{3} \cosh^{3}{\left(a + b x \right)} \cosh{\left(c + d x \right)}}{9 b^{4} - 10 b^{2} d^{2} + d^{4}} - \frac{7 b^{2} d \sinh^{3}{\left(a + b x \right)} \sinh{\left(c + d x \right)}}{9 b^{4} - 10 b^{2} d^{2} + d^{4}} + \frac{6 b^{2} d \sinh{\left(a + b x \right)} \sinh{\left(c + d x \right)} \cosh^{2}{\left(a + b x \right)}}{9 b^{4} - 10 b^{2} d^{2} + d^{4}} - \frac{3 b d^{2} \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)} \cosh{\left(c + d x \right)}}{9 b^{4} - 10 b^{2} d^{2} + d^{4}} + \frac{d^{3} \sinh^{3}{\left(a + b x \right)} \sinh{\left(c + d x \right)}}{9 b^{4} - 10 b^{2} d^{2} + d^{4}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*sinh(a)**3*cosh(c), Eq(b, 0) & Eq(d, 0)), (3*x*sinh(a - d*x)**3*cosh(c + d*x)/8 + 3*x*sinh(a - d*x)**2*sinh(c + d*x)*cosh(a - d*x)/8 - 3*x*sinh(a - d*x)*cosh(a - d*x)**2*cosh(c + d*x)/8 - 3*x*sinh(c + d*x)*cosh(a - d*x)**3/8 - sinh(a - d*x)**3*sinh(c + d*x)/(8*d) - 3*sinh(a - d*x)**2*cosh(a - d*x)*cosh(c + d*x)/(4*d) + 3*cosh(a - d*x)**3*cosh(c + d*x)/(8*d), Eq(b, -d)), (x*sinh(a - d*x/3)**3*cosh(c + d*x)/8 + 3*x*sinh(a - d*x/3)**2*sinh(c + d*x)*cosh(a - d*x/3)/8 + 3*x*sinh(a - d*x/3)*cosh(a - d*x/3)**2*cosh(c + d*x)/8 + x*sinh(c + d*x)*cosh(a - d*x/3)**3/8 + 7*sinh(a - d*x/3)**3*sinh(c + d*x)/(8*d) - 3*sinh(a - d*x/3)*sinh(c + d*x)*cosh(a - d*x/3)**2/(4*d) - 3*cosh(a - d*x/3)**3*cosh(c + d*x)/(8*d), Eq(b, -d/3)), (x*sinh(a + d*x/3)**3*cosh(c + d*x)/8 - 3*x*sinh(a + d*x/3)**2*sinh(c + d*x)*cosh(a + d*x/3)/8 + 3*x*sinh(a + d*x/3)*cosh(a + d*x/3)**2*cosh(c + d*x)/8 - x*sinh(c + d*x)*cosh(a + d*x/3)**3/8 + 9*sinh(a + d*x/3)**3*sinh(c + d*x)/(8*d) - 3*sinh(a + d*x/3)**2*cosh(a + d*x/3)*cosh(c + d*x)/(4*d) + cosh(a + d*x/3)**3*cosh(c + d*x)/(8*d), Eq(b, d/3)), (3*x*sinh(a + d*x)**3*cosh(c + d*x)/8 - 3*x*sinh(a + d*x)**2*sinh(c + d*x)*cosh(a + d*x)/8 - 3*x*sinh(a + d*x)*cosh(a + d*x)**2*cosh(c + d*x)/8 + 3*x*sinh(c + d*x)*cosh(a + d*x)**3/8 + 5*sinh(a + d*x)**3*sinh(c + d*x)/(8*d) - 3*sinh(a + d*x)*sinh(c + d*x)*cosh(a + d*x)**2/(4*d) + 3*cosh(a + d*x)**3*cosh(c + d*x)/(8*d), Eq(b, d)), (9*b**3*sinh(a + b*x)**2*cosh(a + b*x)*cosh(c + d*x)/(9*b**4 - 10*b**2*d**2 + d**4) - 6*b**3*cosh(a + b*x)**3*cosh(c + d*x)/(9*b**4 - 10*b**2*d**2 + d**4) - 7*b**2*d*sinh(a + b*x)**3*sinh(c + d*x)/(9*b**4 - 10*b**2*d**2 + d**4) + 6*b**2*d*sinh(a + b*x)*sinh(c + d*x)*cosh(a + b*x)**2/(9*b**4 - 10*b**2*d**2 + d**4) - 3*b*d**2*sinh(a + b*x)**2*cosh(a + b*x)*cosh(c + d*x)/(9*b**4 - 10*b**2*d**2 + d**4) + d**3*sinh(a + b*x)**3*sinh(c + d*x)/(9*b**4 - 10*b**2*d**2 + d**4), True))","A",0
186,1,2030,0,109.986478," ","integrate(cosh(d*x+c)**2*sinh(b*x+a)**3,x)","\begin{cases} x \sinh^{3}{\left(a \right)} \cosh^{2}{\left(c \right)} & \text{for}\: b = 0 \wedge d = 0 \\\left(- \frac{x \sinh^{2}{\left(c + d x \right)}}{2} + \frac{x \cosh^{2}{\left(c + d x \right)}}{2} + \frac{\sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{2 d}\right) \sinh^{3}{\left(a \right)} & \text{for}\: b = 0 \\\frac{3 x \sinh^{3}{\left(a - 2 d x \right)} \sinh^{2}{\left(c + d x \right)}}{16} + \frac{3 x \sinh^{3}{\left(a - 2 d x \right)} \cosh^{2}{\left(c + d x \right)}}{16} + \frac{3 x \sinh^{2}{\left(a - 2 d x \right)} \sinh{\left(c + d x \right)} \cosh{\left(a - 2 d x \right)} \cosh{\left(c + d x \right)}}{8} - \frac{3 x \sinh{\left(a - 2 d x \right)} \sinh^{2}{\left(c + d x \right)} \cosh^{2}{\left(a - 2 d x \right)}}{16} - \frac{3 x \sinh{\left(a - 2 d x \right)} \cosh^{2}{\left(a - 2 d x \right)} \cosh^{2}{\left(c + d x \right)}}{16} - \frac{3 x \sinh{\left(c + d x \right)} \cosh^{3}{\left(a - 2 d x \right)} \cosh{\left(c + d x \right)}}{8} + \frac{13 \sinh^{3}{\left(a - 2 d x \right)} \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{16 d} + \frac{\sinh^{2}{\left(a - 2 d x \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(a - 2 d x \right)}}{2 d} - \frac{7 \sinh{\left(a - 2 d x \right)} \sinh{\left(c + d x \right)} \cosh^{2}{\left(a - 2 d x \right)} \cosh{\left(c + d x \right)}}{8 d} - \frac{49 \sinh^{2}{\left(c + d x \right)} \cosh^{3}{\left(a - 2 d x \right)}}{96 d} - \frac{17 \cosh^{3}{\left(a - 2 d x \right)} \cosh^{2}{\left(c + d x \right)}}{96 d} & \text{for}\: b = - 2 d \\\frac{x \sinh^{3}{\left(a - \frac{2 d x}{3} \right)} \sinh^{2}{\left(c + d x \right)}}{16} + \frac{x \sinh^{3}{\left(a - \frac{2 d x}{3} \right)} \cosh^{2}{\left(c + d x \right)}}{16} + \frac{3 x \sinh^{2}{\left(a - \frac{2 d x}{3} \right)} \sinh{\left(c + d x \right)} \cosh{\left(a - \frac{2 d x}{3} \right)} \cosh{\left(c + d x \right)}}{8} + \frac{3 x \sinh{\left(a - \frac{2 d x}{3} \right)} \sinh^{2}{\left(c + d x \right)} \cosh^{2}{\left(a - \frac{2 d x}{3} \right)}}{16} + \frac{3 x \sinh{\left(a - \frac{2 d x}{3} \right)} \cosh^{2}{\left(a - \frac{2 d x}{3} \right)} \cosh^{2}{\left(c + d x \right)}}{16} + \frac{x \sinh{\left(c + d x \right)} \cosh^{3}{\left(a - \frac{2 d x}{3} \right)} \cosh{\left(c + d x \right)}}{8} + \frac{15 \sinh^{3}{\left(a - \frac{2 d x}{3} \right)} \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{16 d} + \frac{3 \sinh^{2}{\left(a - \frac{2 d x}{3} \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(a - \frac{2 d x}{3} \right)}}{2 d} + \frac{9 \sinh{\left(a - \frac{2 d x}{3} \right)} \sinh{\left(c + d x \right)} \cosh^{2}{\left(a - \frac{2 d x}{3} \right)} \cosh{\left(c + d x \right)}}{8 d} - \frac{11 \sinh^{2}{\left(c + d x \right)} \cosh^{3}{\left(a - \frac{2 d x}{3} \right)}}{32 d} + \frac{21 \cosh^{3}{\left(a - \frac{2 d x}{3} \right)} \cosh^{2}{\left(c + d x \right)}}{32 d} & \text{for}\: b = - \frac{2 d}{3} \\\frac{x \sinh^{3}{\left(a + \frac{2 d x}{3} \right)} \sinh^{2}{\left(c + d x \right)}}{16} + \frac{x \sinh^{3}{\left(a + \frac{2 d x}{3} \right)} \cosh^{2}{\left(c + d x \right)}}{16} - \frac{3 x \sinh^{2}{\left(a + \frac{2 d x}{3} \right)} \sinh{\left(c + d x \right)} \cosh{\left(a + \frac{2 d x}{3} \right)} \cosh{\left(c + d x \right)}}{8} + \frac{3 x \sinh{\left(a + \frac{2 d x}{3} \right)} \sinh^{2}{\left(c + d x \right)} \cosh^{2}{\left(a + \frac{2 d x}{3} \right)}}{16} + \frac{3 x \sinh{\left(a + \frac{2 d x}{3} \right)} \cosh^{2}{\left(a + \frac{2 d x}{3} \right)} \cosh^{2}{\left(c + d x \right)}}{16} - \frac{x \sinh{\left(c + d x \right)} \cosh^{3}{\left(a + \frac{2 d x}{3} \right)} \cosh{\left(c + d x \right)}}{8} + \frac{15 \sinh^{3}{\left(a + \frac{2 d x}{3} \right)} \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{16 d} - \frac{3 \sinh^{2}{\left(a + \frac{2 d x}{3} \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(a + \frac{2 d x}{3} \right)}}{2 d} + \frac{9 \sinh{\left(a + \frac{2 d x}{3} \right)} \sinh{\left(c + d x \right)} \cosh^{2}{\left(a + \frac{2 d x}{3} \right)} \cosh{\left(c + d x \right)}}{8 d} + \frac{11 \sinh^{2}{\left(c + d x \right)} \cosh^{3}{\left(a + \frac{2 d x}{3} \right)}}{32 d} - \frac{21 \cosh^{3}{\left(a + \frac{2 d x}{3} \right)} \cosh^{2}{\left(c + d x \right)}}{32 d} & \text{for}\: b = \frac{2 d}{3} \\\frac{3 x \sinh^{3}{\left(a + 2 d x \right)} \sinh^{2}{\left(c + d x \right)}}{16} + \frac{3 x \sinh^{3}{\left(a + 2 d x \right)} \cosh^{2}{\left(c + d x \right)}}{16} - \frac{3 x \sinh^{2}{\left(a + 2 d x \right)} \sinh{\left(c + d x \right)} \cosh{\left(a + 2 d x \right)} \cosh{\left(c + d x \right)}}{8} - \frac{3 x \sinh{\left(a + 2 d x \right)} \sinh^{2}{\left(c + d x \right)} \cosh^{2}{\left(a + 2 d x \right)}}{16} - \frac{3 x \sinh{\left(a + 2 d x \right)} \cosh^{2}{\left(a + 2 d x \right)} \cosh^{2}{\left(c + d x \right)}}{16} + \frac{3 x \sinh{\left(c + d x \right)} \cosh^{3}{\left(a + 2 d x \right)} \cosh{\left(c + d x \right)}}{8} + \frac{13 \sinh^{3}{\left(a + 2 d x \right)} \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{16 d} - \frac{\sinh^{2}{\left(a + 2 d x \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(a + 2 d x \right)}}{2 d} - \frac{7 \sinh{\left(a + 2 d x \right)} \sinh{\left(c + d x \right)} \cosh^{2}{\left(a + 2 d x \right)} \cosh{\left(c + d x \right)}}{8 d} + \frac{49 \sinh^{2}{\left(c + d x \right)} \cosh^{3}{\left(a + 2 d x \right)}}{96 d} + \frac{17 \cosh^{3}{\left(a + 2 d x \right)} \cosh^{2}{\left(c + d x \right)}}{96 d} & \text{for}\: b = 2 d \\\frac{27 b^{4} \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)} \cosh^{2}{\left(c + d x \right)}}{27 b^{5} - 120 b^{3} d^{2} + 48 b d^{4}} - \frac{18 b^{4} \cosh^{3}{\left(a + b x \right)} \cosh^{2}{\left(c + d x \right)}}{27 b^{5} - 120 b^{3} d^{2} + 48 b d^{4}} - \frac{42 b^{3} d \sinh^{3}{\left(a + b x \right)} \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{27 b^{5} - 120 b^{3} d^{2} + 48 b d^{4}} + \frac{36 b^{3} d \sinh{\left(a + b x \right)} \sinh{\left(c + d x \right)} \cosh^{2}{\left(a + b x \right)} \cosh{\left(c + d x \right)}}{27 b^{5} - 120 b^{3} d^{2} + 48 b d^{4}} + \frac{42 b^{2} d^{2} \sinh^{2}{\left(a + b x \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(a + b x \right)}}{27 b^{5} - 120 b^{3} d^{2} + 48 b d^{4}} - \frac{78 b^{2} d^{2} \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)} \cosh^{2}{\left(c + d x \right)}}{27 b^{5} - 120 b^{3} d^{2} + 48 b d^{4}} - \frac{40 b^{2} d^{2} \sinh^{2}{\left(c + d x \right)} \cosh^{3}{\left(a + b x \right)}}{27 b^{5} - 120 b^{3} d^{2} + 48 b d^{4}} + \frac{40 b^{2} d^{2} \cosh^{3}{\left(a + b x \right)} \cosh^{2}{\left(c + d x \right)}}{27 b^{5} - 120 b^{3} d^{2} + 48 b d^{4}} + \frac{24 b d^{3} \sinh^{3}{\left(a + b x \right)} \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{27 b^{5} - 120 b^{3} d^{2} + 48 b d^{4}} - \frac{24 d^{4} \sinh^{2}{\left(a + b x \right)} \sinh^{2}{\left(c + d x \right)} \cosh{\left(a + b x \right)}}{27 b^{5} - 120 b^{3} d^{2} + 48 b d^{4}} + \frac{24 d^{4} \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)} \cosh^{2}{\left(c + d x \right)}}{27 b^{5} - 120 b^{3} d^{2} + 48 b d^{4}} + \frac{16 d^{4} \sinh^{2}{\left(c + d x \right)} \cosh^{3}{\left(a + b x \right)}}{27 b^{5} - 120 b^{3} d^{2} + 48 b d^{4}} - \frac{16 d^{4} \cosh^{3}{\left(a + b x \right)} \cosh^{2}{\left(c + d x \right)}}{27 b^{5} - 120 b^{3} d^{2} + 48 b d^{4}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*sinh(a)**3*cosh(c)**2, Eq(b, 0) & Eq(d, 0)), ((-x*sinh(c + d*x)**2/2 + x*cosh(c + d*x)**2/2 + sinh(c + d*x)*cosh(c + d*x)/(2*d))*sinh(a)**3, Eq(b, 0)), (3*x*sinh(a - 2*d*x)**3*sinh(c + d*x)**2/16 + 3*x*sinh(a - 2*d*x)**3*cosh(c + d*x)**2/16 + 3*x*sinh(a - 2*d*x)**2*sinh(c + d*x)*cosh(a - 2*d*x)*cosh(c + d*x)/8 - 3*x*sinh(a - 2*d*x)*sinh(c + d*x)**2*cosh(a - 2*d*x)**2/16 - 3*x*sinh(a - 2*d*x)*cosh(a - 2*d*x)**2*cosh(c + d*x)**2/16 - 3*x*sinh(c + d*x)*cosh(a - 2*d*x)**3*cosh(c + d*x)/8 + 13*sinh(a - 2*d*x)**3*sinh(c + d*x)*cosh(c + d*x)/(16*d) + sinh(a - 2*d*x)**2*sinh(c + d*x)**2*cosh(a - 2*d*x)/(2*d) - 7*sinh(a - 2*d*x)*sinh(c + d*x)*cosh(a - 2*d*x)**2*cosh(c + d*x)/(8*d) - 49*sinh(c + d*x)**2*cosh(a - 2*d*x)**3/(96*d) - 17*cosh(a - 2*d*x)**3*cosh(c + d*x)**2/(96*d), Eq(b, -2*d)), (x*sinh(a - 2*d*x/3)**3*sinh(c + d*x)**2/16 + x*sinh(a - 2*d*x/3)**3*cosh(c + d*x)**2/16 + 3*x*sinh(a - 2*d*x/3)**2*sinh(c + d*x)*cosh(a - 2*d*x/3)*cosh(c + d*x)/8 + 3*x*sinh(a - 2*d*x/3)*sinh(c + d*x)**2*cosh(a - 2*d*x/3)**2/16 + 3*x*sinh(a - 2*d*x/3)*cosh(a - 2*d*x/3)**2*cosh(c + d*x)**2/16 + x*sinh(c + d*x)*cosh(a - 2*d*x/3)**3*cosh(c + d*x)/8 + 15*sinh(a - 2*d*x/3)**3*sinh(c + d*x)*cosh(c + d*x)/(16*d) + 3*sinh(a - 2*d*x/3)**2*sinh(c + d*x)**2*cosh(a - 2*d*x/3)/(2*d) + 9*sinh(a - 2*d*x/3)*sinh(c + d*x)*cosh(a - 2*d*x/3)**2*cosh(c + d*x)/(8*d) - 11*sinh(c + d*x)**2*cosh(a - 2*d*x/3)**3/(32*d) + 21*cosh(a - 2*d*x/3)**3*cosh(c + d*x)**2/(32*d), Eq(b, -2*d/3)), (x*sinh(a + 2*d*x/3)**3*sinh(c + d*x)**2/16 + x*sinh(a + 2*d*x/3)**3*cosh(c + d*x)**2/16 - 3*x*sinh(a + 2*d*x/3)**2*sinh(c + d*x)*cosh(a + 2*d*x/3)*cosh(c + d*x)/8 + 3*x*sinh(a + 2*d*x/3)*sinh(c + d*x)**2*cosh(a + 2*d*x/3)**2/16 + 3*x*sinh(a + 2*d*x/3)*cosh(a + 2*d*x/3)**2*cosh(c + d*x)**2/16 - x*sinh(c + d*x)*cosh(a + 2*d*x/3)**3*cosh(c + d*x)/8 + 15*sinh(a + 2*d*x/3)**3*sinh(c + d*x)*cosh(c + d*x)/(16*d) - 3*sinh(a + 2*d*x/3)**2*sinh(c + d*x)**2*cosh(a + 2*d*x/3)/(2*d) + 9*sinh(a + 2*d*x/3)*sinh(c + d*x)*cosh(a + 2*d*x/3)**2*cosh(c + d*x)/(8*d) + 11*sinh(c + d*x)**2*cosh(a + 2*d*x/3)**3/(32*d) - 21*cosh(a + 2*d*x/3)**3*cosh(c + d*x)**2/(32*d), Eq(b, 2*d/3)), (3*x*sinh(a + 2*d*x)**3*sinh(c + d*x)**2/16 + 3*x*sinh(a + 2*d*x)**3*cosh(c + d*x)**2/16 - 3*x*sinh(a + 2*d*x)**2*sinh(c + d*x)*cosh(a + 2*d*x)*cosh(c + d*x)/8 - 3*x*sinh(a + 2*d*x)*sinh(c + d*x)**2*cosh(a + 2*d*x)**2/16 - 3*x*sinh(a + 2*d*x)*cosh(a + 2*d*x)**2*cosh(c + d*x)**2/16 + 3*x*sinh(c + d*x)*cosh(a + 2*d*x)**3*cosh(c + d*x)/8 + 13*sinh(a + 2*d*x)**3*sinh(c + d*x)*cosh(c + d*x)/(16*d) - sinh(a + 2*d*x)**2*sinh(c + d*x)**2*cosh(a + 2*d*x)/(2*d) - 7*sinh(a + 2*d*x)*sinh(c + d*x)*cosh(a + 2*d*x)**2*cosh(c + d*x)/(8*d) + 49*sinh(c + d*x)**2*cosh(a + 2*d*x)**3/(96*d) + 17*cosh(a + 2*d*x)**3*cosh(c + d*x)**2/(96*d), Eq(b, 2*d)), (27*b**4*sinh(a + b*x)**2*cosh(a + b*x)*cosh(c + d*x)**2/(27*b**5 - 120*b**3*d**2 + 48*b*d**4) - 18*b**4*cosh(a + b*x)**3*cosh(c + d*x)**2/(27*b**5 - 120*b**3*d**2 + 48*b*d**4) - 42*b**3*d*sinh(a + b*x)**3*sinh(c + d*x)*cosh(c + d*x)/(27*b**5 - 120*b**3*d**2 + 48*b*d**4) + 36*b**3*d*sinh(a + b*x)*sinh(c + d*x)*cosh(a + b*x)**2*cosh(c + d*x)/(27*b**5 - 120*b**3*d**2 + 48*b*d**4) + 42*b**2*d**2*sinh(a + b*x)**2*sinh(c + d*x)**2*cosh(a + b*x)/(27*b**5 - 120*b**3*d**2 + 48*b*d**4) - 78*b**2*d**2*sinh(a + b*x)**2*cosh(a + b*x)*cosh(c + d*x)**2/(27*b**5 - 120*b**3*d**2 + 48*b*d**4) - 40*b**2*d**2*sinh(c + d*x)**2*cosh(a + b*x)**3/(27*b**5 - 120*b**3*d**2 + 48*b*d**4) + 40*b**2*d**2*cosh(a + b*x)**3*cosh(c + d*x)**2/(27*b**5 - 120*b**3*d**2 + 48*b*d**4) + 24*b*d**3*sinh(a + b*x)**3*sinh(c + d*x)*cosh(c + d*x)/(27*b**5 - 120*b**3*d**2 + 48*b*d**4) - 24*d**4*sinh(a + b*x)**2*sinh(c + d*x)**2*cosh(a + b*x)/(27*b**5 - 120*b**3*d**2 + 48*b*d**4) + 24*d**4*sinh(a + b*x)**2*cosh(a + b*x)*cosh(c + d*x)**2/(27*b**5 - 120*b**3*d**2 + 48*b*d**4) + 16*d**4*sinh(c + d*x)**2*cosh(a + b*x)**3/(27*b**5 - 120*b**3*d**2 + 48*b*d**4) - 16*d**4*cosh(a + b*x)**3*cosh(c + d*x)**2/(27*b**5 - 120*b**3*d**2 + 48*b*d**4), True))","A",0
187,-1,0,0,0.000000," ","integrate(cosh(d*x+c)**3*sinh(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
188,0,0,0,0.000000," ","integrate(sinh(b*x+a)*tanh(d*x+c),x)","\int \sinh{\left(a + b x \right)} \tanh{\left(c + d x \right)}\, dx"," ",0,"Integral(sinh(a + b*x)*tanh(c + d*x), x)","F",0
189,0,0,0,0.000000," ","integrate(coth(d*x+c)*sinh(b*x+a),x)","\int \sinh{\left(a + b x \right)} \coth{\left(c + d x \right)}\, dx"," ",0,"Integral(sinh(a + b*x)*coth(c + d*x), x)","F",0
190,0,0,0,0.000000," ","integrate(cosh(b*x+a)*coth(d*x+c),x)","\int \cosh{\left(a + b x \right)} \coth{\left(c + d x \right)}\, dx"," ",0,"Integral(cosh(a + b*x)*coth(c + d*x), x)","F",0
191,0,0,0,0.000000," ","integrate(cosh(b*x+a)*tanh(d*x+c),x)","\int \cosh{\left(a + b x \right)} \tanh{\left(c + d x \right)}\, dx"," ",0,"Integral(cosh(a + b*x)*tanh(c + d*x), x)","F",0
192,1,20,0,0.443562," ","integrate(sinh(x)*sinh(2*x),x)","\frac{2 \sinh{\left(x \right)} \cosh{\left(2 x \right)}}{3} - \frac{\sinh{\left(2 x \right)} \cosh{\left(x \right)}}{3}"," ",0,"2*sinh(x)*cosh(2*x)/3 - sinh(2*x)*cosh(x)/3","B",0
193,1,20,0,0.414429," ","integrate(sinh(x)*sinh(3*x),x)","\frac{3 \sinh{\left(x \right)} \cosh{\left(3 x \right)}}{8} - \frac{\sinh{\left(3 x \right)} \cosh{\left(x \right)}}{8}"," ",0,"3*sinh(x)*cosh(3*x)/8 - sinh(3*x)*cosh(x)/8","A",0
194,1,20,0,0.408431," ","integrate(sinh(x)*sinh(4*x),x)","\frac{4 \sinh{\left(x \right)} \cosh{\left(4 x \right)}}{15} - \frac{\sinh{\left(4 x \right)} \cosh{\left(x \right)}}{15}"," ",0,"4*sinh(x)*cosh(4*x)/15 - sinh(4*x)*cosh(x)/15","A",0
195,1,78,0,0.771764," ","integrate(sinh(x)*sinh(m*x),x)","\begin{cases} - \frac{x \sinh^{2}{\left(x \right)}}{2} + \frac{x \cosh^{2}{\left(x \right)}}{2} - \frac{\sinh{\left(x \right)} \cosh{\left(x \right)}}{2} & \text{for}\: m = -1 \\\frac{x \sinh^{2}{\left(x \right)}}{2} - \frac{x \cosh^{2}{\left(x \right)}}{2} + \frac{\sinh{\left(x \right)} \cosh{\left(x \right)}}{2} & \text{for}\: m = 1 \\\frac{m \sinh{\left(x \right)} \cosh{\left(m x \right)}}{m^{2} - 1} - \frac{\sinh{\left(m x \right)} \cosh{\left(x \right)}}{m^{2} - 1} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-x*sinh(x)**2/2 + x*cosh(x)**2/2 - sinh(x)*cosh(x)/2, Eq(m, -1)), (x*sinh(x)**2/2 - x*cosh(x)**2/2 + sinh(x)*cosh(x)/2, Eq(m, 1)), (m*sinh(x)*cosh(m*x)/(m**2 - 1) - sinh(m*x)*cosh(x)/(m**2 - 1), True))","A",0
196,1,20,0,0.448486," ","integrate(cosh(2*x)*sinh(x),x)","\frac{2 \sinh{\left(x \right)} \sinh{\left(2 x \right)}}{3} - \frac{\cosh{\left(x \right)} \cosh{\left(2 x \right)}}{3}"," ",0,"2*sinh(x)*sinh(2*x)/3 - cosh(x)*cosh(2*x)/3","A",0
197,1,20,0,0.407330," ","integrate(cosh(3*x)*sinh(x),x)","\frac{3 \sinh{\left(x \right)} \sinh{\left(3 x \right)}}{8} - \frac{\cosh{\left(x \right)} \cosh{\left(3 x \right)}}{8}"," ",0,"3*sinh(x)*sinh(3*x)/8 - cosh(x)*cosh(3*x)/8","A",0
198,1,20,0,0.411228," ","integrate(cosh(4*x)*sinh(x),x)","\frac{4 \sinh{\left(x \right)} \sinh{\left(4 x \right)}}{15} - \frac{\cosh{\left(x \right)} \cosh{\left(4 x \right)}}{15}"," ",0,"4*sinh(x)*sinh(4*x)/15 - cosh(x)*cosh(4*x)/15","A",0
199,1,37,0,0.904738," ","integrate(cosh(m*x)*sinh(x),x)","\begin{cases} \frac{\cosh^{2}{\left(x \right)}}{2} & \text{for}\: m = -1 \vee m = 1 \\\frac{m \sinh{\left(x \right)} \sinh{\left(m x \right)}}{m^{2} - 1} - \frac{\cosh{\left(x \right)} \cosh{\left(m x \right)}}{m^{2} - 1} & \text{otherwise} \end{cases}"," ",0,"Piecewise((cosh(x)**2/2, Eq(m, -1) | Eq(m, 1)), (m*sinh(x)*sinh(m*x)/(m**2 - 1) - cosh(x)*cosh(m*x)/(m**2 - 1), True))","A",0
200,0,0,0,0.000000," ","integrate(sinh(x)*tanh(2*x),x)","\int \sinh{\left(x \right)} \tanh{\left(2 x \right)}\, dx"," ",0,"Integral(sinh(x)*tanh(2*x), x)","F",0
201,0,0,0,0.000000," ","integrate(sinh(x)*tanh(3*x),x)","\int \sinh{\left(x \right)} \tanh{\left(3 x \right)}\, dx"," ",0,"Integral(sinh(x)*tanh(3*x), x)","F",0
202,0,0,0,0.000000," ","integrate(sinh(x)*tanh(4*x),x)","\int \sinh{\left(x \right)} \tanh{\left(4 x \right)}\, dx"," ",0,"Integral(sinh(x)*tanh(4*x), x)","F",0
203,0,0,0,0.000000," ","integrate(sinh(x)*tanh(5*x),x)","\int \sinh{\left(x \right)} \tanh{\left(5 x \right)}\, dx"," ",0,"Integral(sinh(x)*tanh(5*x), x)","F",0
204,0,0,0,0.000000," ","integrate(sinh(x)*tanh(6*x),x)","\int \sinh{\left(x \right)} \tanh{\left(6 x \right)}\, dx"," ",0,"Integral(sinh(x)*tanh(6*x), x)","F",0
205,0,0,0,0.000000," ","integrate(sinh(x)*tanh(n*x),x)","\int \sinh{\left(x \right)} \tanh{\left(n x \right)}\, dx"," ",0,"Integral(sinh(x)*tanh(n*x), x)","F",0
206,0,0,0,0.000000," ","integrate(coth(2*x)*sinh(x),x)","\int \sinh{\left(x \right)} \coth{\left(2 x \right)}\, dx"," ",0,"Integral(sinh(x)*coth(2*x), x)","F",0
207,0,0,0,0.000000," ","integrate(coth(3*x)*sinh(x),x)","\int \sinh{\left(x \right)} \coth{\left(3 x \right)}\, dx"," ",0,"Integral(sinh(x)*coth(3*x), x)","F",0
208,0,0,0,0.000000," ","integrate(coth(4*x)*sinh(x),x)","\int \sinh{\left(x \right)} \coth{\left(4 x \right)}\, dx"," ",0,"Integral(sinh(x)*coth(4*x), x)","F",0
209,0,0,0,0.000000," ","integrate(coth(5*x)*sinh(x),x)","\int \sinh{\left(x \right)} \coth{\left(5 x \right)}\, dx"," ",0,"Integral(sinh(x)*coth(5*x), x)","F",0
210,0,0,0,0.000000," ","integrate(coth(6*x)*sinh(x),x)","\int \sinh{\left(x \right)} \coth{\left(6 x \right)}\, dx"," ",0,"Integral(sinh(x)*coth(6*x), x)","F",0
211,0,0,0,0.000000," ","integrate(sech(2*x)*sinh(x),x)","\int \sinh{\left(x \right)} \operatorname{sech}{\left(2 x \right)}\, dx"," ",0,"Integral(sinh(x)*sech(2*x), x)","F",0
212,0,0,0,0.000000," ","integrate(sech(3*x)*sinh(x),x)","\int \sinh{\left(x \right)} \operatorname{sech}{\left(3 x \right)}\, dx"," ",0,"Integral(sinh(x)*sech(3*x), x)","F",0
213,0,0,0,0.000000," ","integrate(sech(4*x)*sinh(x),x)","\int \sinh{\left(x \right)} \operatorname{sech}{\left(4 x \right)}\, dx"," ",0,"Integral(sinh(x)*sech(4*x), x)","F",0
214,0,0,0,0.000000," ","integrate(sech(5*x)*sinh(x),x)","\int \sinh{\left(x \right)} \operatorname{sech}{\left(5 x \right)}\, dx"," ",0,"Integral(sinh(x)*sech(5*x), x)","F",0
215,0,0,0,0.000000," ","integrate(sech(6*x)*sinh(x),x)","\int \sinh{\left(x \right)} \operatorname{sech}{\left(6 x \right)}\, dx"," ",0,"Integral(sinh(x)*sech(6*x), x)","F",0
216,0,0,0,0.000000," ","integrate(csch(2*x)*sinh(x),x)","\int \sinh{\left(x \right)} \operatorname{csch}{\left(2 x \right)}\, dx"," ",0,"Integral(sinh(x)*csch(2*x), x)","F",0
217,0,0,0,0.000000," ","integrate(csch(3*x)*sinh(x),x)","\int \sinh{\left(x \right)} \operatorname{csch}{\left(3 x \right)}\, dx"," ",0,"Integral(sinh(x)*csch(3*x), x)","F",0
218,0,0,0,0.000000," ","integrate(csch(4*x)*sinh(x),x)","\int \sinh{\left(x \right)} \operatorname{csch}{\left(4 x \right)}\, dx"," ",0,"Integral(sinh(x)*csch(4*x), x)","F",0
219,0,0,0,0.000000," ","integrate(csch(5*x)*sinh(x),x)","\int \sinh{\left(x \right)} \operatorname{csch}{\left(5 x \right)}\, dx"," ",0,"Integral(sinh(x)*csch(5*x), x)","F",0
220,0,0,0,0.000000," ","integrate(csch(6*x)*sinh(x),x)","\int \sinh{\left(x \right)} \operatorname{csch}{\left(6 x \right)}\, dx"," ",0,"Integral(sinh(x)*csch(6*x), x)","F",0
221,1,20,0,0.451028," ","integrate(cosh(x)*sinh(2*x),x)","- \frac{\sinh{\left(x \right)} \sinh{\left(2 x \right)}}{3} + \frac{2 \cosh{\left(x \right)} \cosh{\left(2 x \right)}}{3}"," ",0,"-sinh(x)*sinh(2*x)/3 + 2*cosh(x)*cosh(2*x)/3","B",0
222,1,20,0,0.414814," ","integrate(cosh(x)*sinh(3*x),x)","- \frac{\sinh{\left(x \right)} \sinh{\left(3 x \right)}}{8} + \frac{3 \cosh{\left(x \right)} \cosh{\left(3 x \right)}}{8}"," ",0,"-sinh(x)*sinh(3*x)/8 + 3*cosh(x)*cosh(3*x)/8","A",0
223,1,20,0,0.408636," ","integrate(cosh(x)*sinh(4*x),x)","- \frac{\sinh{\left(x \right)} \sinh{\left(4 x \right)}}{15} + \frac{4 \cosh{\left(x \right)} \cosh{\left(4 x \right)}}{15}"," ",0,"-sinh(x)*sinh(4*x)/15 + 4*cosh(x)*cosh(4*x)/15","A",0
224,1,42,0,0.756953," ","integrate(cosh(x)*sinh(m*x),x)","\begin{cases} - \frac{\cosh^{2}{\left(x \right)}}{2} & \text{for}\: m = -1 \\\frac{\cosh^{2}{\left(x \right)}}{2} & \text{for}\: m = 1 \\\frac{m \cosh{\left(x \right)} \cosh{\left(m x \right)}}{m^{2} - 1} - \frac{\sinh{\left(x \right)} \sinh{\left(m x \right)}}{m^{2} - 1} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-cosh(x)**2/2, Eq(m, -1)), (cosh(x)**2/2, Eq(m, 1)), (m*cosh(x)*cosh(m*x)/(m**2 - 1) - sinh(x)*sinh(m*x)/(m**2 - 1), True))","A",0
225,1,20,0,0.446615," ","integrate(cosh(x)*cosh(2*x),x)","- \frac{\sinh{\left(x \right)} \cosh{\left(2 x \right)}}{3} + \frac{2 \sinh{\left(2 x \right)} \cosh{\left(x \right)}}{3}"," ",0,"-sinh(x)*cosh(2*x)/3 + 2*sinh(2*x)*cosh(x)/3","A",0
226,1,20,0,0.410104," ","integrate(cosh(x)*cosh(3*x),x)","- \frac{\sinh{\left(x \right)} \cosh{\left(3 x \right)}}{8} + \frac{3 \sinh{\left(3 x \right)} \cosh{\left(x \right)}}{8}"," ",0,"-sinh(x)*cosh(3*x)/8 + 3*sinh(3*x)*cosh(x)/8","A",0
227,1,20,0,0.413350," ","integrate(cosh(x)*cosh(4*x),x)","- \frac{\sinh{\left(x \right)} \cosh{\left(4 x \right)}}{15} + \frac{4 \sinh{\left(4 x \right)} \cosh{\left(x \right)}}{15}"," ",0,"-sinh(x)*cosh(4*x)/15 + 4*sinh(4*x)*cosh(x)/15","A",0
228,1,56,0,0.916484," ","integrate(cosh(x)*cosh(m*x),x)","\begin{cases} - \frac{x \sinh^{2}{\left(x \right)}}{2} + \frac{x \cosh^{2}{\left(x \right)}}{2} + \frac{\sinh{\left(x \right)} \cosh{\left(x \right)}}{2} & \text{for}\: m = -1 \vee m = 1 \\\frac{m \sinh{\left(m x \right)} \cosh{\left(x \right)}}{m^{2} - 1} - \frac{\sinh{\left(x \right)} \cosh{\left(m x \right)}}{m^{2} - 1} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-x*sinh(x)**2/2 + x*cosh(x)**2/2 + sinh(x)*cosh(x)/2, Eq(m, -1) | Eq(m, 1)), (m*sinh(m*x)*cosh(x)/(m**2 - 1) - sinh(x)*cosh(m*x)/(m**2 - 1), True))","A",0
229,0,0,0,0.000000," ","integrate(cosh(x)*tanh(2*x),x)","\int \cosh{\left(x \right)} \tanh{\left(2 x \right)}\, dx"," ",0,"Integral(cosh(x)*tanh(2*x), x)","F",0
230,0,0,0,0.000000," ","integrate(cosh(x)*tanh(3*x),x)","\int \cosh{\left(x \right)} \tanh{\left(3 x \right)}\, dx"," ",0,"Integral(cosh(x)*tanh(3*x), x)","F",0
231,0,0,0,0.000000," ","integrate(cosh(x)*tanh(4*x),x)","\int \cosh{\left(x \right)} \tanh{\left(4 x \right)}\, dx"," ",0,"Integral(cosh(x)*tanh(4*x), x)","F",0
232,0,0,0,0.000000," ","integrate(cosh(x)*tanh(5*x),x)","\int \cosh{\left(x \right)} \tanh{\left(5 x \right)}\, dx"," ",0,"Integral(cosh(x)*tanh(5*x), x)","F",0
233,0,0,0,0.000000," ","integrate(cosh(x)*tanh(6*x),x)","\int \cosh{\left(x \right)} \tanh{\left(6 x \right)}\, dx"," ",0,"Integral(cosh(x)*tanh(6*x), x)","F",0
234,0,0,0,0.000000," ","integrate(cosh(x)*coth(2*x),x)","\int \cosh{\left(x \right)} \coth{\left(2 x \right)}\, dx"," ",0,"Integral(cosh(x)*coth(2*x), x)","F",0
235,0,0,0,0.000000," ","integrate(cosh(x)*coth(3*x),x)","\int \cosh{\left(x \right)} \coth{\left(3 x \right)}\, dx"," ",0,"Integral(cosh(x)*coth(3*x), x)","F",0
236,0,0,0,0.000000," ","integrate(cosh(x)*coth(4*x),x)","\int \cosh{\left(x \right)} \coth{\left(4 x \right)}\, dx"," ",0,"Integral(cosh(x)*coth(4*x), x)","F",0
237,0,0,0,0.000000," ","integrate(cosh(x)*coth(5*x),x)","\int \cosh{\left(x \right)} \coth{\left(5 x \right)}\, dx"," ",0,"Integral(cosh(x)*coth(5*x), x)","F",0
238,0,0,0,0.000000," ","integrate(cosh(x)*coth(6*x),x)","\int \cosh{\left(x \right)} \coth{\left(6 x \right)}\, dx"," ",0,"Integral(cosh(x)*coth(6*x), x)","F",0
239,0,0,0,0.000000," ","integrate(cosh(x)*coth(n*x),x)","\int \cosh{\left(x \right)} \coth{\left(n x \right)}\, dx"," ",0,"Integral(cosh(x)*coth(n*x), x)","F",0
240,0,0,0,0.000000," ","integrate(cosh(x)*sech(2*x),x)","\int \cosh{\left(x \right)} \operatorname{sech}{\left(2 x \right)}\, dx"," ",0,"Integral(cosh(x)*sech(2*x), x)","F",0
241,0,0,0,0.000000," ","integrate(cosh(x)*sech(3*x),x)","\int \cosh{\left(x \right)} \operatorname{sech}{\left(3 x \right)}\, dx"," ",0,"Integral(cosh(x)*sech(3*x), x)","F",0
242,0,0,0,0.000000," ","integrate(cosh(x)*sech(4*x),x)","\int \cosh{\left(x \right)} \operatorname{sech}{\left(4 x \right)}\, dx"," ",0,"Integral(cosh(x)*sech(4*x), x)","F",0
243,0,0,0,0.000000," ","integrate(cosh(x)*sech(5*x),x)","\int \cosh{\left(x \right)} \operatorname{sech}{\left(5 x \right)}\, dx"," ",0,"Integral(cosh(x)*sech(5*x), x)","F",0
244,0,0,0,0.000000," ","integrate(cosh(x)*sech(6*x),x)","\int \cosh{\left(x \right)} \operatorname{sech}{\left(6 x \right)}\, dx"," ",0,"Integral(cosh(x)*sech(6*x), x)","F",0
245,0,0,0,0.000000," ","integrate(cosh(x)*csch(2*x),x)","\int \cosh{\left(x \right)} \operatorname{csch}{\left(2 x \right)}\, dx"," ",0,"Integral(cosh(x)*csch(2*x), x)","F",0
246,0,0,0,0.000000," ","integrate(cosh(x)*csch(3*x),x)","\int \cosh{\left(x \right)} \operatorname{csch}{\left(3 x \right)}\, dx"," ",0,"Integral(cosh(x)*csch(3*x), x)","F",0
247,0,0,0,0.000000," ","integrate(cosh(x)*csch(4*x),x)","\int \cosh{\left(x \right)} \operatorname{csch}{\left(4 x \right)}\, dx"," ",0,"Integral(cosh(x)*csch(4*x), x)","F",0
248,0,0,0,0.000000," ","integrate(cosh(x)*csch(5*x),x)","\int \cosh{\left(x \right)} \operatorname{csch}{\left(5 x \right)}\, dx"," ",0,"Integral(cosh(x)*csch(5*x), x)","F",0
249,0,0,0,0.000000," ","integrate(cosh(x)*csch(6*x),x)","\int \cosh{\left(x \right)} \operatorname{csch}{\left(6 x \right)}\, dx"," ",0,"Integral(cosh(x)*csch(6*x), x)","F",0
250,-2,0,0,0.000000," ","integrate(x**m*cosh(b*x+a)*sinh(b*x+a),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
251,1,119,0,1.726271," ","integrate(x**3*cosh(b*x+a)*sinh(b*x+a),x)","\begin{cases} \frac{x^{3} \sinh^{2}{\left(a + b x \right)}}{4 b} + \frac{x^{3} \cosh^{2}{\left(a + b x \right)}}{4 b} - \frac{3 x^{2} \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{4 b^{2}} + \frac{3 x \sinh^{2}{\left(a + b x \right)}}{8 b^{3}} + \frac{3 x \cosh^{2}{\left(a + b x \right)}}{8 b^{3}} - \frac{3 \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{8 b^{4}} & \text{for}\: b \neq 0 \\\frac{x^{4} \sinh{\left(a \right)} \cosh{\left(a \right)}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**3*sinh(a + b*x)**2/(4*b) + x**3*cosh(a + b*x)**2/(4*b) - 3*x**2*sinh(a + b*x)*cosh(a + b*x)/(4*b**2) + 3*x*sinh(a + b*x)**2/(8*b**3) + 3*x*cosh(a + b*x)**2/(8*b**3) - 3*sinh(a + b*x)*cosh(a + b*x)/(8*b**4), Ne(b, 0)), (x**4*sinh(a)*cosh(a)/4, True))","A",0
252,1,75,0,0.820744," ","integrate(x**2*cosh(b*x+a)*sinh(b*x+a),x)","\begin{cases} \frac{x^{2} \sinh^{2}{\left(a + b x \right)}}{4 b} + \frac{x^{2} \cosh^{2}{\left(a + b x \right)}}{4 b} - \frac{x \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{2 b^{2}} + \frac{\sinh^{2}{\left(a + b x \right)}}{4 b^{3}} & \text{for}\: b \neq 0 \\\frac{x^{3} \sinh{\left(a \right)} \cosh{\left(a \right)}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2*sinh(a + b*x)**2/(4*b) + x**2*cosh(a + b*x)**2/(4*b) - x*sinh(a + b*x)*cosh(a + b*x)/(2*b**2) + sinh(a + b*x)**2/(4*b**3), Ne(b, 0)), (x**3*sinh(a)*cosh(a)/3, True))","A",0
253,1,56,0,0.424905," ","integrate(x*cosh(b*x+a)*sinh(b*x+a),x)","\begin{cases} \frac{x \sinh^{2}{\left(a + b x \right)}}{4 b} + \frac{x \cosh^{2}{\left(a + b x \right)}}{4 b} - \frac{\sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{4 b^{2}} & \text{for}\: b \neq 0 \\\frac{x^{2} \sinh{\left(a \right)} \cosh{\left(a \right)}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*sinh(a + b*x)**2/(4*b) + x*cosh(a + b*x)**2/(4*b) - sinh(a + b*x)*cosh(a + b*x)/(4*b**2), Ne(b, 0)), (x**2*sinh(a)*cosh(a)/2, True))","A",0
254,1,19,0,0.183329," ","integrate(cosh(b*x+a)*sinh(b*x+a),x)","\begin{cases} \frac{\sinh^{2}{\left(a + b x \right)}}{2 b} & \text{for}\: b \neq 0 \\x \sinh{\left(a \right)} \cosh{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((sinh(a + b*x)**2/(2*b), Ne(b, 0)), (x*sinh(a)*cosh(a), True))","A",0
255,0,0,0,0.000000," ","integrate(cosh(b*x+a)*sinh(b*x+a)/x,x)","\int \frac{\sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(sinh(a + b*x)*cosh(a + b*x)/x, x)","F",0
256,0,0,0,0.000000," ","integrate(cosh(b*x+a)*sinh(b*x+a)/x**2,x)","\int \frac{\sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(sinh(a + b*x)*cosh(a + b*x)/x**2, x)","F",0
257,0,0,0,0.000000," ","integrate(cosh(b*x+a)*sinh(b*x+a)/x**3,x)","\int \frac{\sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{x^{3}}\, dx"," ",0,"Integral(sinh(a + b*x)*cosh(a + b*x)/x**3, x)","F",0
258,0,0,0,0.000000," ","integrate(cosh(b*x+a)*sinh(b*x+a)/x**4,x)","\int \frac{\sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{x^{4}}\, dx"," ",0,"Integral(sinh(a + b*x)*cosh(a + b*x)/x**4, x)","F",0
259,0,0,0,0.000000," ","integrate(x**m*cosh(b*x+a)**2*sinh(b*x+a),x)","\int x^{m} \sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**m*sinh(a + b*x)*cosh(a + b*x)**2, x)","F",0
260,1,146,0,2.899504," ","integrate(x**3*cosh(b*x+a)**2*sinh(b*x+a),x)","\begin{cases} \frac{x^{3} \cosh^{3}{\left(a + b x \right)}}{3 b} + \frac{2 x^{2} \sinh^{3}{\left(a + b x \right)}}{3 b^{2}} - \frac{x^{2} \sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{b^{2}} - \frac{4 x \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{3 b^{3}} + \frac{14 x \cosh^{3}{\left(a + b x \right)}}{9 b^{3}} + \frac{40 \sinh^{3}{\left(a + b x \right)}}{27 b^{4}} - \frac{14 \sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{9 b^{4}} & \text{for}\: b \neq 0 \\\frac{x^{4} \sinh{\left(a \right)} \cosh^{2}{\left(a \right)}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**3*cosh(a + b*x)**3/(3*b) + 2*x**2*sinh(a + b*x)**3/(3*b**2) - x**2*sinh(a + b*x)*cosh(a + b*x)**2/b**2 - 4*x*sinh(a + b*x)**2*cosh(a + b*x)/(3*b**3) + 14*x*cosh(a + b*x)**3/(9*b**3) + 40*sinh(a + b*x)**3/(27*b**4) - 14*sinh(a + b*x)*cosh(a + b*x)**2/(9*b**4), Ne(b, 0)), (x**4*sinh(a)*cosh(a)**2/4, True))","A",0
261,1,105,0,1.713268," ","integrate(x**2*cosh(b*x+a)**2*sinh(b*x+a),x)","\begin{cases} \frac{x^{2} \cosh^{3}{\left(a + b x \right)}}{3 b} + \frac{4 x \sinh^{3}{\left(a + b x \right)}}{9 b^{2}} - \frac{2 x \sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{3 b^{2}} - \frac{4 \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{9 b^{3}} + \frac{14 \cosh^{3}{\left(a + b x \right)}}{27 b^{3}} & \text{for}\: b \neq 0 \\\frac{x^{3} \sinh{\left(a \right)} \cosh^{2}{\left(a \right)}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2*cosh(a + b*x)**3/(3*b) + 4*x*sinh(a + b*x)**3/(9*b**2) - 2*x*sinh(a + b*x)*cosh(a + b*x)**2/(3*b**2) - 4*sinh(a + b*x)**2*cosh(a + b*x)/(9*b**3) + 14*cosh(a + b*x)**3/(27*b**3), Ne(b, 0)), (x**3*sinh(a)*cosh(a)**2/3, True))","A",0
262,1,61,0,0.810189," ","integrate(x*cosh(b*x+a)**2*sinh(b*x+a),x)","\begin{cases} \frac{x \cosh^{3}{\left(a + b x \right)}}{3 b} + \frac{2 \sinh^{3}{\left(a + b x \right)}}{9 b^{2}} - \frac{\sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{3 b^{2}} & \text{for}\: b \neq 0 \\\frac{x^{2} \sinh{\left(a \right)} \cosh^{2}{\left(a \right)}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*cosh(a + b*x)**3/(3*b) + 2*sinh(a + b*x)**3/(9*b**2) - sinh(a + b*x)*cosh(a + b*x)**2/(3*b**2), Ne(b, 0)), (x**2*sinh(a)*cosh(a)**2/2, True))","A",0
263,1,20,0,0.375411," ","integrate(cosh(b*x+a)**2*sinh(b*x+a),x)","\begin{cases} \frac{\cosh^{3}{\left(a + b x \right)}}{3 b} & \text{for}\: b \neq 0 \\x \sinh{\left(a \right)} \cosh^{2}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((cosh(a + b*x)**3/(3*b), Ne(b, 0)), (x*sinh(a)*cosh(a)**2, True))","A",0
264,0,0,0,0.000000," ","integrate(cosh(b*x+a)**2*sinh(b*x+a)/x,x)","\int \frac{\sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(sinh(a + b*x)*cosh(a + b*x)**2/x, x)","F",0
265,0,0,0,0.000000," ","integrate(cosh(b*x+a)**2*sinh(b*x+a)/x**2,x)","\int \frac{\sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(sinh(a + b*x)*cosh(a + b*x)**2/x**2, x)","F",0
266,0,0,0,0.000000," ","integrate(cosh(b*x+a)**2*sinh(b*x+a)/x**3,x)","\int \frac{\sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{x^{3}}\, dx"," ",0,"Integral(sinh(a + b*x)*cosh(a + b*x)**2/x**3, x)","F",0
267,0,0,0,0.000000," ","integrate(cosh(b*x+a)**2*sinh(b*x+a)/x**4,x)","\int \frac{\sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{x^{4}}\, dx"," ",0,"Integral(sinh(a + b*x)*cosh(a + b*x)**2/x**4, x)","F",0
268,0,0,0,0.000000," ","integrate(x**m*cosh(b*x+a)**3*sinh(b*x+a),x)","\int x^{m} \sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**m*sinh(a + b*x)*cosh(a + b*x)**3, x)","F",0
269,1,226,0,5.259452," ","integrate(x**3*cosh(b*x+a)**3*sinh(b*x+a),x)","\begin{cases} - \frac{3 x^{3} \sinh^{4}{\left(a + b x \right)}}{32 b} + \frac{3 x^{3} \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{16 b} + \frac{5 x^{3} \cosh^{4}{\left(a + b x \right)}}{32 b} + \frac{9 x^{2} \sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{32 b^{2}} - \frac{15 x^{2} \sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{32 b^{2}} - \frac{45 x \sinh^{4}{\left(a + b x \right)}}{256 b^{3}} + \frac{9 x \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{128 b^{3}} + \frac{51 x \cosh^{4}{\left(a + b x \right)}}{256 b^{3}} + \frac{45 \sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{256 b^{4}} - \frac{51 \sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{256 b^{4}} & \text{for}\: b \neq 0 \\\frac{x^{4} \sinh{\left(a \right)} \cosh^{3}{\left(a \right)}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-3*x**3*sinh(a + b*x)**4/(32*b) + 3*x**3*sinh(a + b*x)**2*cosh(a + b*x)**2/(16*b) + 5*x**3*cosh(a + b*x)**4/(32*b) + 9*x**2*sinh(a + b*x)**3*cosh(a + b*x)/(32*b**2) - 15*x**2*sinh(a + b*x)*cosh(a + b*x)**3/(32*b**2) - 45*x*sinh(a + b*x)**4/(256*b**3) + 9*x*sinh(a + b*x)**2*cosh(a + b*x)**2/(128*b**3) + 51*x*cosh(a + b*x)**4/(256*b**3) + 45*sinh(a + b*x)**3*cosh(a + b*x)/(256*b**4) - 51*sinh(a + b*x)*cosh(a + b*x)**3/(256*b**4), Ne(b, 0)), (x**4*sinh(a)*cosh(a)**3/4, True))","A",0
270,1,150,0,2.922054," ","integrate(x**2*cosh(b*x+a)**3*sinh(b*x+a),x)","\begin{cases} - \frac{3 x^{2} \sinh^{4}{\left(a + b x \right)}}{32 b} + \frac{3 x^{2} \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{16 b} + \frac{5 x^{2} \cosh^{4}{\left(a + b x \right)}}{32 b} + \frac{3 x \sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{16 b^{2}} - \frac{5 x \sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{16 b^{2}} - \frac{3 \sinh^{4}{\left(a + b x \right)}}{64 b^{3}} + \frac{5 \cosh^{4}{\left(a + b x \right)}}{64 b^{3}} & \text{for}\: b \neq 0 \\\frac{x^{3} \sinh{\left(a \right)} \cosh^{3}{\left(a \right)}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-3*x**2*sinh(a + b*x)**4/(32*b) + 3*x**2*sinh(a + b*x)**2*cosh(a + b*x)**2/(16*b) + 5*x**2*cosh(a + b*x)**4/(32*b) + 3*x*sinh(a + b*x)**3*cosh(a + b*x)/(16*b**2) - 5*x*sinh(a + b*x)*cosh(a + b*x)**3/(16*b**2) - 3*sinh(a + b*x)**4/(64*b**3) + 5*cosh(a + b*x)**4/(64*b**3), Ne(b, 0)), (x**3*sinh(a)*cosh(a)**3/3, True))","A",0
271,1,110,0,1.675716," ","integrate(x*cosh(b*x+a)**3*sinh(b*x+a),x)","\begin{cases} - \frac{3 x \sinh^{4}{\left(a + b x \right)}}{32 b} + \frac{3 x \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{16 b} + \frac{5 x \cosh^{4}{\left(a + b x \right)}}{32 b} + \frac{3 \sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{32 b^{2}} - \frac{5 \sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{32 b^{2}} & \text{for}\: b \neq 0 \\\frac{x^{2} \sinh{\left(a \right)} \cosh^{3}{\left(a \right)}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-3*x*sinh(a + b*x)**4/(32*b) + 3*x*sinh(a + b*x)**2*cosh(a + b*x)**2/(16*b) + 5*x*cosh(a + b*x)**4/(32*b) + 3*sinh(a + b*x)**3*cosh(a + b*x)/(32*b**2) - 5*sinh(a + b*x)*cosh(a + b*x)**3/(32*b**2), Ne(b, 0)), (x**2*sinh(a)*cosh(a)**3/2, True))","A",0
272,1,20,0,0.741276," ","integrate(cosh(b*x+a)**3*sinh(b*x+a),x)","\begin{cases} \frac{\cosh^{4}{\left(a + b x \right)}}{4 b} & \text{for}\: b \neq 0 \\x \sinh{\left(a \right)} \cosh^{3}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((cosh(a + b*x)**4/(4*b), Ne(b, 0)), (x*sinh(a)*cosh(a)**3, True))","A",0
273,0,0,0,0.000000," ","integrate(cosh(b*x+a)**3*sinh(b*x+a)/x,x)","\int \frac{\sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(sinh(a + b*x)*cosh(a + b*x)**3/x, x)","F",0
274,0,0,0,0.000000," ","integrate(cosh(b*x+a)**3*sinh(b*x+a)/x**2,x)","\int \frac{\sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(sinh(a + b*x)*cosh(a + b*x)**3/x**2, x)","F",0
275,0,0,0,0.000000," ","integrate(cosh(b*x+a)**3*sinh(b*x+a)/x**3,x)","\int \frac{\sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{x^{3}}\, dx"," ",0,"Integral(sinh(a + b*x)*cosh(a + b*x)**3/x**3, x)","F",0
276,0,0,0,0.000000," ","integrate(cosh(b*x+a)**3*sinh(b*x+a)/x**4,x)","\int \frac{\sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{x^{4}}\, dx"," ",0,"Integral(sinh(a + b*x)*cosh(a + b*x)**3/x**4, x)","F",0
277,0,0,0,0.000000," ","integrate(cosh(x)*sinh(x)/x,x)","\int \frac{\sinh{\left(x \right)} \cosh{\left(x \right)}}{x}\, dx"," ",0,"Integral(sinh(x)*cosh(x)/x, x)","F",0
278,0,0,0,0.000000," ","integrate(cosh(x)*sinh(x)/x**2,x)","\int \frac{\sinh{\left(x \right)} \cosh{\left(x \right)}}{x^{2}}\, dx"," ",0,"Integral(sinh(x)*cosh(x)/x**2, x)","F",0
279,0,0,0,0.000000," ","integrate(cosh(x)*sinh(x)/x**3,x)","\int \frac{\sinh{\left(x \right)} \cosh{\left(x \right)}}{x^{3}}\, dx"," ",0,"Integral(sinh(x)*cosh(x)/x**3, x)","F",0
280,0,0,0,0.000000," ","integrate(x**m*cosh(b*x+a)*sinh(b*x+a)**2,x)","\int x^{m} \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)}\, dx"," ",0,"Integral(x**m*sinh(a + b*x)**2*cosh(a + b*x), x)","F",0
281,1,146,0,2.926581," ","integrate(x**3*cosh(b*x+a)*sinh(b*x+a)**2,x)","\begin{cases} \frac{x^{3} \sinh^{3}{\left(a + b x \right)}}{3 b} - \frac{x^{2} \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{b^{2}} + \frac{2 x^{2} \cosh^{3}{\left(a + b x \right)}}{3 b^{2}} + \frac{14 x \sinh^{3}{\left(a + b x \right)}}{9 b^{3}} - \frac{4 x \sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{3 b^{3}} - \frac{14 \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{9 b^{4}} + \frac{40 \cosh^{3}{\left(a + b x \right)}}{27 b^{4}} & \text{for}\: b \neq 0 \\\frac{x^{4} \sinh^{2}{\left(a \right)} \cosh{\left(a \right)}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**3*sinh(a + b*x)**3/(3*b) - x**2*sinh(a + b*x)**2*cosh(a + b*x)/b**2 + 2*x**2*cosh(a + b*x)**3/(3*b**2) + 14*x*sinh(a + b*x)**3/(9*b**3) - 4*x*sinh(a + b*x)*cosh(a + b*x)**2/(3*b**3) - 14*sinh(a + b*x)**2*cosh(a + b*x)/(9*b**4) + 40*cosh(a + b*x)**3/(27*b**4), Ne(b, 0)), (x**4*sinh(a)**2*cosh(a)/4, True))","A",0
282,1,105,0,1.695765," ","integrate(x**2*cosh(b*x+a)*sinh(b*x+a)**2,x)","\begin{cases} \frac{x^{2} \sinh^{3}{\left(a + b x \right)}}{3 b} - \frac{2 x \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{3 b^{2}} + \frac{4 x \cosh^{3}{\left(a + b x \right)}}{9 b^{2}} + \frac{14 \sinh^{3}{\left(a + b x \right)}}{27 b^{3}} - \frac{4 \sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{9 b^{3}} & \text{for}\: b \neq 0 \\\frac{x^{3} \sinh^{2}{\left(a \right)} \cosh{\left(a \right)}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2*sinh(a + b*x)**3/(3*b) - 2*x*sinh(a + b*x)**2*cosh(a + b*x)/(3*b**2) + 4*x*cosh(a + b*x)**3/(9*b**2) + 14*sinh(a + b*x)**3/(27*b**3) - 4*sinh(a + b*x)*cosh(a + b*x)**2/(9*b**3), Ne(b, 0)), (x**3*sinh(a)**2*cosh(a)/3, True))","A",0
283,1,61,0,0.804790," ","integrate(x*cosh(b*x+a)*sinh(b*x+a)**2,x)","\begin{cases} \frac{x \sinh^{3}{\left(a + b x \right)}}{3 b} - \frac{\sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{3 b^{2}} + \frac{2 \cosh^{3}{\left(a + b x \right)}}{9 b^{2}} & \text{for}\: b \neq 0 \\\frac{x^{2} \sinh^{2}{\left(a \right)} \cosh{\left(a \right)}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*sinh(a + b*x)**3/(3*b) - sinh(a + b*x)**2*cosh(a + b*x)/(3*b**2) + 2*cosh(a + b*x)**3/(9*b**2), Ne(b, 0)), (x**2*sinh(a)**2*cosh(a)/2, True))","A",0
284,1,20,0,0.371644," ","integrate(cosh(b*x+a)*sinh(b*x+a)**2,x)","\begin{cases} \frac{\sinh^{3}{\left(a + b x \right)}}{3 b} & \text{for}\: b \neq 0 \\x \sinh^{2}{\left(a \right)} \cosh{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((sinh(a + b*x)**3/(3*b), Ne(b, 0)), (x*sinh(a)**2*cosh(a), True))","A",0
285,0,0,0,0.000000," ","integrate(cosh(b*x+a)*sinh(b*x+a)**2/x,x)","\int \frac{\sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(sinh(a + b*x)**2*cosh(a + b*x)/x, x)","F",0
286,0,0,0,0.000000," ","integrate(cosh(b*x+a)*sinh(b*x+a)**2/x**2,x)","\int \frac{\sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(sinh(a + b*x)**2*cosh(a + b*x)/x**2, x)","F",0
287,0,0,0,0.000000," ","integrate(cosh(b*x+a)*sinh(b*x+a)**2/x**3,x)","\int \frac{\sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{x^{3}}\, dx"," ",0,"Integral(sinh(a + b*x)**2*cosh(a + b*x)/x**3, x)","F",0
288,0,0,0,0.000000," ","integrate(cosh(b*x+a)*sinh(b*x+a)**2/x**4,x)","\int \frac{\sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{x^{4}}\, dx"," ",0,"Integral(sinh(a + b*x)**2*cosh(a + b*x)/x**4, x)","F",0
289,0,0,0,0.000000," ","integrate(x**m*cosh(b*x+a)**2*sinh(b*x+a)**2,x)","\int x^{m} \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**m*sinh(a + b*x)**2*cosh(a + b*x)**2, x)","F",0
290,1,250,0,5.358833," ","integrate(x**3*cosh(b*x+a)**2*sinh(b*x+a)**2,x)","\begin{cases} - \frac{x^{4} \sinh^{4}{\left(a + b x \right)}}{32} + \frac{x^{4} \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{16} - \frac{x^{4} \cosh^{4}{\left(a + b x \right)}}{32} + \frac{x^{3} \sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{8 b} + \frac{x^{3} \sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{8 b} - \frac{3 x^{2} \sinh^{4}{\left(a + b x \right)}}{128 b^{2}} - \frac{9 x^{2} \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{64 b^{2}} - \frac{3 x^{2} \cosh^{4}{\left(a + b x \right)}}{128 b^{2}} + \frac{3 x \sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{64 b^{3}} + \frac{3 x \sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{64 b^{3}} - \frac{3 \sinh^{4}{\left(a + b x \right)}}{256 b^{4}} - \frac{3 \cosh^{4}{\left(a + b x \right)}}{256 b^{4}} & \text{for}\: b \neq 0 \\\frac{x^{4} \sinh^{2}{\left(a \right)} \cosh^{2}{\left(a \right)}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-x**4*sinh(a + b*x)**4/32 + x**4*sinh(a + b*x)**2*cosh(a + b*x)**2/16 - x**4*cosh(a + b*x)**4/32 + x**3*sinh(a + b*x)**3*cosh(a + b*x)/(8*b) + x**3*sinh(a + b*x)*cosh(a + b*x)**3/(8*b) - 3*x**2*sinh(a + b*x)**4/(128*b**2) - 9*x**2*sinh(a + b*x)**2*cosh(a + b*x)**2/(64*b**2) - 3*x**2*cosh(a + b*x)**4/(128*b**2) + 3*x*sinh(a + b*x)**3*cosh(a + b*x)/(64*b**3) + 3*x*sinh(a + b*x)*cosh(a + b*x)**3/(64*b**3) - 3*sinh(a + b*x)**4/(256*b**4) - 3*cosh(a + b*x)**4/(256*b**4), Ne(b, 0)), (x**4*sinh(a)**2*cosh(a)**2/4, True))","A",0
291,1,204,0,3.049395," ","integrate(x**2*cosh(b*x+a)**2*sinh(b*x+a)**2,x)","\begin{cases} - \frac{x^{3} \sinh^{4}{\left(a + b x \right)}}{24} + \frac{x^{3} \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{12} - \frac{x^{3} \cosh^{4}{\left(a + b x \right)}}{24} + \frac{x^{2} \sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{8 b} + \frac{x^{2} \sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{8 b} - \frac{x \sinh^{4}{\left(a + b x \right)}}{64 b^{2}} - \frac{3 x \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{32 b^{2}} - \frac{x \cosh^{4}{\left(a + b x \right)}}{64 b^{2}} + \frac{\sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{64 b^{3}} + \frac{\sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{64 b^{3}} & \text{for}\: b \neq 0 \\\frac{x^{3} \sinh^{2}{\left(a \right)} \cosh^{2}{\left(a \right)}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-x**3*sinh(a + b*x)**4/24 + x**3*sinh(a + b*x)**2*cosh(a + b*x)**2/12 - x**3*cosh(a + b*x)**4/24 + x**2*sinh(a + b*x)**3*cosh(a + b*x)/(8*b) + x**2*sinh(a + b*x)*cosh(a + b*x)**3/(8*b) - x*sinh(a + b*x)**4/(64*b**2) - 3*x*sinh(a + b*x)**2*cosh(a + b*x)**2/(32*b**2) - x*cosh(a + b*x)**4/(64*b**2) + sinh(a + b*x)**3*cosh(a + b*x)/(64*b**3) + sinh(a + b*x)*cosh(a + b*x)**3/(64*b**3), Ne(b, 0)), (x**3*sinh(a)**2*cosh(a)**2/3, True))","A",0
292,1,131,0,1.706053," ","integrate(x*cosh(b*x+a)**2*sinh(b*x+a)**2,x)","\begin{cases} - \frac{x^{2} \sinh^{4}{\left(a + b x \right)}}{16} + \frac{x^{2} \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{8} - \frac{x^{2} \cosh^{4}{\left(a + b x \right)}}{16} + \frac{x \sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{8 b} + \frac{x \sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{8 b} - \frac{\sinh^{4}{\left(a + b x \right)}}{32 b^{2}} - \frac{\cosh^{4}{\left(a + b x \right)}}{32 b^{2}} & \text{for}\: b \neq 0 \\\frac{x^{2} \sinh^{2}{\left(a \right)} \cosh^{2}{\left(a \right)}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-x**2*sinh(a + b*x)**4/16 + x**2*sinh(a + b*x)**2*cosh(a + b*x)**2/8 - x**2*cosh(a + b*x)**4/16 + x*sinh(a + b*x)**3*cosh(a + b*x)/(8*b) + x*sinh(a + b*x)*cosh(a + b*x)**3/(8*b) - sinh(a + b*x)**4/(32*b**2) - cosh(a + b*x)**4/(32*b**2), Ne(b, 0)), (x**2*sinh(a)**2*cosh(a)**2/2, True))","A",0
293,1,92,0,0.824990," ","integrate(cosh(b*x+a)**2*sinh(b*x+a)**2,x)","\begin{cases} - \frac{x \sinh^{4}{\left(a + b x \right)}}{8} + \frac{x \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{4} - \frac{x \cosh^{4}{\left(a + b x \right)}}{8} + \frac{\sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{8 b} + \frac{\sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{8 b} & \text{for}\: b \neq 0 \\x \sinh^{2}{\left(a \right)} \cosh^{2}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-x*sinh(a + b*x)**4/8 + x*sinh(a + b*x)**2*cosh(a + b*x)**2/4 - x*cosh(a + b*x)**4/8 + sinh(a + b*x)**3*cosh(a + b*x)/(8*b) + sinh(a + b*x)*cosh(a + b*x)**3/(8*b), Ne(b, 0)), (x*sinh(a)**2*cosh(a)**2, True))","A",0
294,0,0,0,0.000000," ","integrate(cosh(b*x+a)**2*sinh(b*x+a)**2/x,x)","\int \frac{\sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(sinh(a + b*x)**2*cosh(a + b*x)**2/x, x)","F",0
295,0,0,0,0.000000," ","integrate(cosh(b*x+a)**2*sinh(b*x+a)**2/x**2,x)","\int \frac{\sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(sinh(a + b*x)**2*cosh(a + b*x)**2/x**2, x)","F",0
296,0,0,0,0.000000," ","integrate(cosh(b*x+a)**2*sinh(b*x+a)**2/x**3,x)","\int \frac{\sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{x^{3}}\, dx"," ",0,"Integral(sinh(a + b*x)**2*cosh(a + b*x)**2/x**3, x)","F",0
297,0,0,0,0.000000," ","integrate(cosh(b*x+a)**2*sinh(b*x+a)**2/x**4,x)","\int \frac{\sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{x^{4}}\, dx"," ",0,"Integral(sinh(a + b*x)**2*cosh(a + b*x)**2/x**4, x)","F",0
298,0,0,0,0.000000," ","integrate(x**m*cosh(b*x+a)**3*sinh(b*x+a)**2,x)","\int x^{m} \sinh^{2}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**m*sinh(a + b*x)**2*cosh(a + b*x)**3, x)","F",0
299,1,253,0,8.501221," ","integrate(x**3*cosh(b*x+a)**3*sinh(b*x+a)**2,x)","\begin{cases} - \frac{2 x^{3} \sinh^{5}{\left(a + b x \right)}}{15 b} + \frac{x^{3} \sinh^{3}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{3 b} + \frac{2 x^{2} \sinh^{4}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{5 b^{2}} - \frac{13 x^{2} \sinh^{2}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{15 b^{2}} + \frac{26 x^{2} \cosh^{5}{\left(a + b x \right)}}{75 b^{2}} - \frac{856 x \sinh^{5}{\left(a + b x \right)}}{1125 b^{3}} + \frac{338 x \sinh^{3}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{225 b^{3}} - \frac{52 x \sinh{\left(a + b x \right)} \cosh^{4}{\left(a + b x \right)}}{75 b^{3}} + \frac{856 \sinh^{4}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{1125 b^{4}} - \frac{5114 \sinh^{2}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{3375 b^{4}} + \frac{12568 \cosh^{5}{\left(a + b x \right)}}{16875 b^{4}} & \text{for}\: b \neq 0 \\\frac{x^{4} \sinh^{2}{\left(a \right)} \cosh^{3}{\left(a \right)}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-2*x**3*sinh(a + b*x)**5/(15*b) + x**3*sinh(a + b*x)**3*cosh(a + b*x)**2/(3*b) + 2*x**2*sinh(a + b*x)**4*cosh(a + b*x)/(5*b**2) - 13*x**2*sinh(a + b*x)**2*cosh(a + b*x)**3/(15*b**2) + 26*x**2*cosh(a + b*x)**5/(75*b**2) - 856*x*sinh(a + b*x)**5/(1125*b**3) + 338*x*sinh(a + b*x)**3*cosh(a + b*x)**2/(225*b**3) - 52*x*sinh(a + b*x)*cosh(a + b*x)**4/(75*b**3) + 856*sinh(a + b*x)**4*cosh(a + b*x)/(1125*b**4) - 5114*sinh(a + b*x)**2*cosh(a + b*x)**3/(3375*b**4) + 12568*cosh(a + b*x)**5/(16875*b**4), Ne(b, 0)), (x**4*sinh(a)**2*cosh(a)**3/4, True))","A",0
300,1,182,0,5.023588," ","integrate(x**2*cosh(b*x+a)**3*sinh(b*x+a)**2,x)","\begin{cases} - \frac{2 x^{2} \sinh^{5}{\left(a + b x \right)}}{15 b} + \frac{x^{2} \sinh^{3}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{3 b} + \frac{4 x \sinh^{4}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{15 b^{2}} - \frac{26 x \sinh^{2}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{45 b^{2}} + \frac{52 x \cosh^{5}{\left(a + b x \right)}}{225 b^{2}} - \frac{856 \sinh^{5}{\left(a + b x \right)}}{3375 b^{3}} + \frac{338 \sinh^{3}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{675 b^{3}} - \frac{52 \sinh{\left(a + b x \right)} \cosh^{4}{\left(a + b x \right)}}{225 b^{3}} & \text{for}\: b \neq 0 \\\frac{x^{3} \sinh^{2}{\left(a \right)} \cosh^{3}{\left(a \right)}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-2*x**2*sinh(a + b*x)**5/(15*b) + x**2*sinh(a + b*x)**3*cosh(a + b*x)**2/(3*b) + 4*x*sinh(a + b*x)**4*cosh(a + b*x)/(15*b**2) - 26*x*sinh(a + b*x)**2*cosh(a + b*x)**3/(45*b**2) + 52*x*cosh(a + b*x)**5/(225*b**2) - 856*sinh(a + b*x)**5/(3375*b**3) + 338*sinh(a + b*x)**3*cosh(a + b*x)**2/(675*b**3) - 52*sinh(a + b*x)*cosh(a + b*x)**4/(225*b**3), Ne(b, 0)), (x**3*sinh(a)**2*cosh(a)**3/3, True))","A",0
301,1,112,0,2.823828," ","integrate(x*cosh(b*x+a)**3*sinh(b*x+a)**2,x)","\begin{cases} - \frac{2 x \sinh^{5}{\left(a + b x \right)}}{15 b} + \frac{x \sinh^{3}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{3 b} + \frac{2 \sinh^{4}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{15 b^{2}} - \frac{13 \sinh^{2}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{45 b^{2}} + \frac{26 \cosh^{5}{\left(a + b x \right)}}{225 b^{2}} & \text{for}\: b \neq 0 \\\frac{x^{2} \sinh^{2}{\left(a \right)} \cosh^{3}{\left(a \right)}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-2*x*sinh(a + b*x)**5/(15*b) + x*sinh(a + b*x)**3*cosh(a + b*x)**2/(3*b) + 2*sinh(a + b*x)**4*cosh(a + b*x)/(15*b**2) - 13*sinh(a + b*x)**2*cosh(a + b*x)**3/(45*b**2) + 26*cosh(a + b*x)**5/(225*b**2), Ne(b, 0)), (x**2*sinh(a)**2*cosh(a)**3/2, True))","A",0
302,1,44,0,1.458160," ","integrate(cosh(b*x+a)**3*sinh(b*x+a)**2,x)","\begin{cases} - \frac{2 \sinh^{5}{\left(a + b x \right)}}{15 b} + \frac{\sinh^{3}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{3 b} & \text{for}\: b \neq 0 \\x \sinh^{2}{\left(a \right)} \cosh^{3}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-2*sinh(a + b*x)**5/(15*b) + sinh(a + b*x)**3*cosh(a + b*x)**2/(3*b), Ne(b, 0)), (x*sinh(a)**2*cosh(a)**3, True))","A",0
303,0,0,0,0.000000," ","integrate(cosh(b*x+a)**3*sinh(b*x+a)**2/x,x)","\int \frac{\sinh^{2}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(sinh(a + b*x)**2*cosh(a + b*x)**3/x, x)","F",0
304,0,0,0,0.000000," ","integrate(cosh(b*x+a)**3*sinh(b*x+a)**2/x**2,x)","\int \frac{\sinh^{2}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(sinh(a + b*x)**2*cosh(a + b*x)**3/x**2, x)","F",0
305,0,0,0,0.000000," ","integrate(cosh(b*x+a)**3*sinh(b*x+a)**2/x**3,x)","\int \frac{\sinh^{2}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{x^{3}}\, dx"," ",0,"Integral(sinh(a + b*x)**2*cosh(a + b*x)**3/x**3, x)","F",0
306,0,0,0,0.000000," ","integrate(cosh(b*x+a)**3*sinh(b*x+a)**2/x**4,x)","\int \frac{\sinh^{2}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{x^{4}}\, dx"," ",0,"Integral(sinh(a + b*x)**2*cosh(a + b*x)**3/x**4, x)","F",0
307,0,0,0,0.000000," ","integrate(x**m*cosh(b*x+a)*sinh(b*x+a)**3,x)","\int x^{m} \sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}\, dx"," ",0,"Integral(x**m*sinh(a + b*x)**3*cosh(a + b*x), x)","F",0
308,1,226,0,5.246675," ","integrate(x**3*cosh(b*x+a)*sinh(b*x+a)**3,x)","\begin{cases} \frac{5 x^{3} \sinh^{4}{\left(a + b x \right)}}{32 b} + \frac{3 x^{3} \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{16 b} - \frac{3 x^{3} \cosh^{4}{\left(a + b x \right)}}{32 b} - \frac{15 x^{2} \sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{32 b^{2}} + \frac{9 x^{2} \sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{32 b^{2}} + \frac{51 x \sinh^{4}{\left(a + b x \right)}}{256 b^{3}} + \frac{9 x \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{128 b^{3}} - \frac{45 x \cosh^{4}{\left(a + b x \right)}}{256 b^{3}} - \frac{51 \sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{256 b^{4}} + \frac{45 \sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{256 b^{4}} & \text{for}\: b \neq 0 \\\frac{x^{4} \sinh^{3}{\left(a \right)} \cosh{\left(a \right)}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((5*x**3*sinh(a + b*x)**4/(32*b) + 3*x**3*sinh(a + b*x)**2*cosh(a + b*x)**2/(16*b) - 3*x**3*cosh(a + b*x)**4/(32*b) - 15*x**2*sinh(a + b*x)**3*cosh(a + b*x)/(32*b**2) + 9*x**2*sinh(a + b*x)*cosh(a + b*x)**3/(32*b**2) + 51*x*sinh(a + b*x)**4/(256*b**3) + 9*x*sinh(a + b*x)**2*cosh(a + b*x)**2/(128*b**3) - 45*x*cosh(a + b*x)**4/(256*b**3) - 51*sinh(a + b*x)**3*cosh(a + b*x)/(256*b**4) + 45*sinh(a + b*x)*cosh(a + b*x)**3/(256*b**4), Ne(b, 0)), (x**4*sinh(a)**3*cosh(a)/4, True))","A",0
309,1,150,0,2.904619," ","integrate(x**2*cosh(b*x+a)*sinh(b*x+a)**3,x)","\begin{cases} \frac{5 x^{2} \sinh^{4}{\left(a + b x \right)}}{32 b} + \frac{3 x^{2} \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{16 b} - \frac{3 x^{2} \cosh^{4}{\left(a + b x \right)}}{32 b} - \frac{5 x \sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{16 b^{2}} + \frac{3 x \sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{16 b^{2}} + \frac{5 \sinh^{4}{\left(a + b x \right)}}{64 b^{3}} - \frac{3 \cosh^{4}{\left(a + b x \right)}}{64 b^{3}} & \text{for}\: b \neq 0 \\\frac{x^{3} \sinh^{3}{\left(a \right)} \cosh{\left(a \right)}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((5*x**2*sinh(a + b*x)**4/(32*b) + 3*x**2*sinh(a + b*x)**2*cosh(a + b*x)**2/(16*b) - 3*x**2*cosh(a + b*x)**4/(32*b) - 5*x*sinh(a + b*x)**3*cosh(a + b*x)/(16*b**2) + 3*x*sinh(a + b*x)*cosh(a + b*x)**3/(16*b**2) + 5*sinh(a + b*x)**4/(64*b**3) - 3*cosh(a + b*x)**4/(64*b**3), Ne(b, 0)), (x**3*sinh(a)**3*cosh(a)/3, True))","A",0
310,1,110,0,1.680552," ","integrate(x*cosh(b*x+a)*sinh(b*x+a)**3,x)","\begin{cases} \frac{5 x \sinh^{4}{\left(a + b x \right)}}{32 b} + \frac{3 x \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{16 b} - \frac{3 x \cosh^{4}{\left(a + b x \right)}}{32 b} - \frac{5 \sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{32 b^{2}} + \frac{3 \sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{32 b^{2}} & \text{for}\: b \neq 0 \\\frac{x^{2} \sinh^{3}{\left(a \right)} \cosh{\left(a \right)}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((5*x*sinh(a + b*x)**4/(32*b) + 3*x*sinh(a + b*x)**2*cosh(a + b*x)**2/(16*b) - 3*x*cosh(a + b*x)**4/(32*b) - 5*sinh(a + b*x)**3*cosh(a + b*x)/(32*b**2) + 3*sinh(a + b*x)*cosh(a + b*x)**3/(32*b**2), Ne(b, 0)), (x**2*sinh(a)**3*cosh(a)/2, True))","A",0
311,1,20,0,0.726622," ","integrate(cosh(b*x+a)*sinh(b*x+a)**3,x)","\begin{cases} \frac{\sinh^{4}{\left(a + b x \right)}}{4 b} & \text{for}\: b \neq 0 \\x \sinh^{3}{\left(a \right)} \cosh{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((sinh(a + b*x)**4/(4*b), Ne(b, 0)), (x*sinh(a)**3*cosh(a), True))","A",0
312,0,0,0,0.000000," ","integrate(cosh(b*x+a)*sinh(b*x+a)**3/x,x)","\int \frac{\sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(sinh(a + b*x)**3*cosh(a + b*x)/x, x)","F",0
313,0,0,0,0.000000," ","integrate(cosh(b*x+a)*sinh(b*x+a)**3/x**2,x)","\int \frac{\sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(sinh(a + b*x)**3*cosh(a + b*x)/x**2, x)","F",0
314,0,0,0,0.000000," ","integrate(cosh(b*x+a)*sinh(b*x+a)**3/x**3,x)","\int \frac{\sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{x^{3}}\, dx"," ",0,"Integral(sinh(a + b*x)**3*cosh(a + b*x)/x**3, x)","F",0
315,0,0,0,0.000000," ","integrate(cosh(b*x+a)*sinh(b*x+a)**3/x**4,x)","\int \frac{\sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{x^{4}}\, dx"," ",0,"Integral(sinh(a + b*x)**3*cosh(a + b*x)/x**4, x)","F",0
316,0,0,0,0.000000," ","integrate(x**m*cosh(b*x+a)**2*sinh(b*x+a)**3,x)","\int x^{m} \sinh^{3}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**m*sinh(a + b*x)**3*cosh(a + b*x)**2, x)","F",0
317,1,253,0,8.506657," ","integrate(x**3*cosh(b*x+a)**2*sinh(b*x+a)**3,x)","\begin{cases} \frac{x^{3} \sinh^{2}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{3 b} - \frac{2 x^{3} \cosh^{5}{\left(a + b x \right)}}{15 b} + \frac{26 x^{2} \sinh^{5}{\left(a + b x \right)}}{75 b^{2}} - \frac{13 x^{2} \sinh^{3}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{15 b^{2}} + \frac{2 x^{2} \sinh{\left(a + b x \right)} \cosh^{4}{\left(a + b x \right)}}{5 b^{2}} - \frac{52 x \sinh^{4}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{75 b^{3}} + \frac{338 x \sinh^{2}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{225 b^{3}} - \frac{856 x \cosh^{5}{\left(a + b x \right)}}{1125 b^{3}} + \frac{12568 \sinh^{5}{\left(a + b x \right)}}{16875 b^{4}} - \frac{5114 \sinh^{3}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{3375 b^{4}} + \frac{856 \sinh{\left(a + b x \right)} \cosh^{4}{\left(a + b x \right)}}{1125 b^{4}} & \text{for}\: b \neq 0 \\\frac{x^{4} \sinh^{3}{\left(a \right)} \cosh^{2}{\left(a \right)}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**3*sinh(a + b*x)**2*cosh(a + b*x)**3/(3*b) - 2*x**3*cosh(a + b*x)**5/(15*b) + 26*x**2*sinh(a + b*x)**5/(75*b**2) - 13*x**2*sinh(a + b*x)**3*cosh(a + b*x)**2/(15*b**2) + 2*x**2*sinh(a + b*x)*cosh(a + b*x)**4/(5*b**2) - 52*x*sinh(a + b*x)**4*cosh(a + b*x)/(75*b**3) + 338*x*sinh(a + b*x)**2*cosh(a + b*x)**3/(225*b**3) - 856*x*cosh(a + b*x)**5/(1125*b**3) + 12568*sinh(a + b*x)**5/(16875*b**4) - 5114*sinh(a + b*x)**3*cosh(a + b*x)**2/(3375*b**4) + 856*sinh(a + b*x)*cosh(a + b*x)**4/(1125*b**4), Ne(b, 0)), (x**4*sinh(a)**3*cosh(a)**2/4, True))","A",0
318,1,182,0,5.062422," ","integrate(x**2*cosh(b*x+a)**2*sinh(b*x+a)**3,x)","\begin{cases} \frac{x^{2} \sinh^{2}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{3 b} - \frac{2 x^{2} \cosh^{5}{\left(a + b x \right)}}{15 b} + \frac{52 x \sinh^{5}{\left(a + b x \right)}}{225 b^{2}} - \frac{26 x \sinh^{3}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{45 b^{2}} + \frac{4 x \sinh{\left(a + b x \right)} \cosh^{4}{\left(a + b x \right)}}{15 b^{2}} - \frac{52 \sinh^{4}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{225 b^{3}} + \frac{338 \sinh^{2}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{675 b^{3}} - \frac{856 \cosh^{5}{\left(a + b x \right)}}{3375 b^{3}} & \text{for}\: b \neq 0 \\\frac{x^{3} \sinh^{3}{\left(a \right)} \cosh^{2}{\left(a \right)}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2*sinh(a + b*x)**2*cosh(a + b*x)**3/(3*b) - 2*x**2*cosh(a + b*x)**5/(15*b) + 52*x*sinh(a + b*x)**5/(225*b**2) - 26*x*sinh(a + b*x)**3*cosh(a + b*x)**2/(45*b**2) + 4*x*sinh(a + b*x)*cosh(a + b*x)**4/(15*b**2) - 52*sinh(a + b*x)**4*cosh(a + b*x)/(225*b**3) + 338*sinh(a + b*x)**2*cosh(a + b*x)**3/(675*b**3) - 856*cosh(a + b*x)**5/(3375*b**3), Ne(b, 0)), (x**3*sinh(a)**3*cosh(a)**2/3, True))","A",0
319,1,112,0,2.772316," ","integrate(x*cosh(b*x+a)**2*sinh(b*x+a)**3,x)","\begin{cases} \frac{x \sinh^{2}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{3 b} - \frac{2 x \cosh^{5}{\left(a + b x \right)}}{15 b} + \frac{26 \sinh^{5}{\left(a + b x \right)}}{225 b^{2}} - \frac{13 \sinh^{3}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{45 b^{2}} + \frac{2 \sinh{\left(a + b x \right)} \cosh^{4}{\left(a + b x \right)}}{15 b^{2}} & \text{for}\: b \neq 0 \\\frac{x^{2} \sinh^{3}{\left(a \right)} \cosh^{2}{\left(a \right)}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*sinh(a + b*x)**2*cosh(a + b*x)**3/(3*b) - 2*x*cosh(a + b*x)**5/(15*b) + 26*sinh(a + b*x)**5/(225*b**2) - 13*sinh(a + b*x)**3*cosh(a + b*x)**2/(45*b**2) + 2*sinh(a + b*x)*cosh(a + b*x)**4/(15*b**2), Ne(b, 0)), (x**2*sinh(a)**3*cosh(a)**2/2, True))","A",0
320,1,44,0,1.469890," ","integrate(cosh(b*x+a)**2*sinh(b*x+a)**3,x)","\begin{cases} \frac{\sinh^{2}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{3 b} - \frac{2 \cosh^{5}{\left(a + b x \right)}}{15 b} & \text{for}\: b \neq 0 \\x \sinh^{3}{\left(a \right)} \cosh^{2}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((sinh(a + b*x)**2*cosh(a + b*x)**3/(3*b) - 2*cosh(a + b*x)**5/(15*b), Ne(b, 0)), (x*sinh(a)**3*cosh(a)**2, True))","A",0
321,0,0,0,0.000000," ","integrate(cosh(b*x+a)**2*sinh(b*x+a)**3/x,x)","\int \frac{\sinh^{3}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(sinh(a + b*x)**3*cosh(a + b*x)**2/x, x)","F",0
322,0,0,0,0.000000," ","integrate(cosh(b*x+a)**2*sinh(b*x+a)**3/x**2,x)","\int \frac{\sinh^{3}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(sinh(a + b*x)**3*cosh(a + b*x)**2/x**2, x)","F",0
323,0,0,0,0.000000," ","integrate(cosh(b*x+a)**2*sinh(b*x+a)**3/x**3,x)","\int \frac{\sinh^{3}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{x^{3}}\, dx"," ",0,"Integral(sinh(a + b*x)**3*cosh(a + b*x)**2/x**3, x)","F",0
324,0,0,0,0.000000," ","integrate(cosh(b*x+a)**2*sinh(b*x+a)**3/x**4,x)","\int \frac{\sinh^{3}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{x^{4}}\, dx"," ",0,"Integral(sinh(a + b*x)**3*cosh(a + b*x)**2/x**4, x)","F",0
325,0,0,0,0.000000," ","integrate(x**m*cosh(b*x+a)**3*sinh(b*x+a)**3,x)","\int x^{m} \sinh^{3}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**m*sinh(a + b*x)**3*cosh(a + b*x)**3, x)","F",0
326,1,314,0,14.185352," ","integrate(x**3*cosh(b*x+a)**3*sinh(b*x+a)**3,x)","\begin{cases} - \frac{x^{3} \sinh^{6}{\left(a + b x \right)}}{24 b} + \frac{x^{3} \sinh^{4}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{8 b} + \frac{x^{3} \sinh^{2}{\left(a + b x \right)} \cosh^{4}{\left(a + b x \right)}}{8 b} - \frac{x^{3} \cosh^{6}{\left(a + b x \right)}}{24 b} + \frac{x^{2} \sinh^{5}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{8 b^{2}} - \frac{x^{2} \sinh^{3}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{3 b^{2}} + \frac{x^{2} \sinh{\left(a + b x \right)} \cosh^{5}{\left(a + b x \right)}}{8 b^{2}} - \frac{5 x \sinh^{6}{\left(a + b x \right)}}{72 b^{3}} + \frac{x \sinh^{4}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{12 b^{3}} + \frac{x \sinh^{2}{\left(a + b x \right)} \cosh^{4}{\left(a + b x \right)}}{12 b^{3}} - \frac{5 x \cosh^{6}{\left(a + b x \right)}}{72 b^{3}} + \frac{5 \sinh^{5}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{72 b^{4}} - \frac{31 \sinh^{3}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{216 b^{4}} + \frac{5 \sinh{\left(a + b x \right)} \cosh^{5}{\left(a + b x \right)}}{72 b^{4}} & \text{for}\: b \neq 0 \\\frac{x^{4} \sinh^{3}{\left(a \right)} \cosh^{3}{\left(a \right)}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-x**3*sinh(a + b*x)**6/(24*b) + x**3*sinh(a + b*x)**4*cosh(a + b*x)**2/(8*b) + x**3*sinh(a + b*x)**2*cosh(a + b*x)**4/(8*b) - x**3*cosh(a + b*x)**6/(24*b) + x**2*sinh(a + b*x)**5*cosh(a + b*x)/(8*b**2) - x**2*sinh(a + b*x)**3*cosh(a + b*x)**3/(3*b**2) + x**2*sinh(a + b*x)*cosh(a + b*x)**5/(8*b**2) - 5*x*sinh(a + b*x)**6/(72*b**3) + x*sinh(a + b*x)**4*cosh(a + b*x)**2/(12*b**3) + x*sinh(a + b*x)**2*cosh(a + b*x)**4/(12*b**3) - 5*x*cosh(a + b*x)**6/(72*b**3) + 5*sinh(a + b*x)**5*cosh(a + b*x)/(72*b**4) - 31*sinh(a + b*x)**3*cosh(a + b*x)**3/(216*b**4) + 5*sinh(a + b*x)*cosh(a + b*x)**5/(72*b**4), Ne(b, 0)), (x**4*sinh(a)**3*cosh(a)**3/4, True))","A",0
327,1,212,0,8.366142," ","integrate(x**2*cosh(b*x+a)**3*sinh(b*x+a)**3,x)","\begin{cases} - \frac{x^{2} \sinh^{6}{\left(a + b x \right)}}{24 b} + \frac{x^{2} \sinh^{4}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{8 b} + \frac{x^{2} \sinh^{2}{\left(a + b x \right)} \cosh^{4}{\left(a + b x \right)}}{8 b} - \frac{x^{2} \cosh^{6}{\left(a + b x \right)}}{24 b} + \frac{x \sinh^{5}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{12 b^{2}} - \frac{2 x \sinh^{3}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{9 b^{2}} + \frac{x \sinh{\left(a + b x \right)} \cosh^{5}{\left(a + b x \right)}}{12 b^{2}} - \frac{\sinh^{6}{\left(a + b x \right)}}{72 b^{3}} + \frac{\sinh^{2}{\left(a + b x \right)} \cosh^{4}{\left(a + b x \right)}}{18 b^{3}} - \frac{7 \cosh^{6}{\left(a + b x \right)}}{216 b^{3}} & \text{for}\: b \neq 0 \\\frac{x^{3} \sinh^{3}{\left(a \right)} \cosh^{3}{\left(a \right)}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-x**2*sinh(a + b*x)**6/(24*b) + x**2*sinh(a + b*x)**4*cosh(a + b*x)**2/(8*b) + x**2*sinh(a + b*x)**2*cosh(a + b*x)**4/(8*b) - x**2*cosh(a + b*x)**6/(24*b) + x*sinh(a + b*x)**5*cosh(a + b*x)/(12*b**2) - 2*x*sinh(a + b*x)**3*cosh(a + b*x)**3/(9*b**2) + x*sinh(a + b*x)*cosh(a + b*x)**5/(12*b**2) - sinh(a + b*x)**6/(72*b**3) + sinh(a + b*x)**2*cosh(a + b*x)**4/(18*b**3) - 7*cosh(a + b*x)**6/(216*b**3), Ne(b, 0)), (x**3*sinh(a)**3*cosh(a)**3/3, True))","A",0
328,1,148,0,4.943985," ","integrate(x*cosh(b*x+a)**3*sinh(b*x+a)**3,x)","\begin{cases} - \frac{x \sinh^{6}{\left(a + b x \right)}}{24 b} + \frac{x \sinh^{4}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{8 b} + \frac{x \sinh^{2}{\left(a + b x \right)} \cosh^{4}{\left(a + b x \right)}}{8 b} - \frac{x \cosh^{6}{\left(a + b x \right)}}{24 b} + \frac{\sinh^{5}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{24 b^{2}} - \frac{\sinh^{3}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{9 b^{2}} + \frac{\sinh{\left(a + b x \right)} \cosh^{5}{\left(a + b x \right)}}{24 b^{2}} & \text{for}\: b \neq 0 \\\frac{x^{2} \sinh^{3}{\left(a \right)} \cosh^{3}{\left(a \right)}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-x*sinh(a + b*x)**6/(24*b) + x*sinh(a + b*x)**4*cosh(a + b*x)**2/(8*b) + x*sinh(a + b*x)**2*cosh(a + b*x)**4/(8*b) - x*cosh(a + b*x)**6/(24*b) + sinh(a + b*x)**5*cosh(a + b*x)/(24*b**2) - sinh(a + b*x)**3*cosh(a + b*x)**3/(9*b**2) + sinh(a + b*x)*cosh(a + b*x)**5/(24*b**2), Ne(b, 0)), (x**2*sinh(a)**3*cosh(a)**3/2, True))","A",0
329,1,42,0,2.589156," ","integrate(cosh(b*x+a)**3*sinh(b*x+a)**3,x)","\begin{cases} \frac{\sinh^{2}{\left(a + b x \right)} \cosh^{4}{\left(a + b x \right)}}{4 b} - \frac{\cosh^{6}{\left(a + b x \right)}}{12 b} & \text{for}\: b \neq 0 \\x \sinh^{3}{\left(a \right)} \cosh^{3}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((sinh(a + b*x)**2*cosh(a + b*x)**4/(4*b) - cosh(a + b*x)**6/(12*b), Ne(b, 0)), (x*sinh(a)**3*cosh(a)**3, True))","A",0
330,0,0,0,0.000000," ","integrate(cosh(b*x+a)**3*sinh(b*x+a)**3/x,x)","\int \frac{\sinh^{3}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(sinh(a + b*x)**3*cosh(a + b*x)**3/x, x)","F",0
331,0,0,0,0.000000," ","integrate(cosh(b*x+a)**3*sinh(b*x+a)**3/x**2,x)","\int \frac{\sinh^{3}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(sinh(a + b*x)**3*cosh(a + b*x)**3/x**2, x)","F",0
332,0,0,0,0.000000," ","integrate(cosh(b*x+a)**3*sinh(b*x+a)**3/x**3,x)","\int \frac{\sinh^{3}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{x^{3}}\, dx"," ",0,"Integral(sinh(a + b*x)**3*cosh(a + b*x)**3/x**3, x)","F",0
333,0,0,0,0.000000," ","integrate(cosh(b*x+a)**3*sinh(b*x+a)**3/x**4,x)","\int \frac{\sinh^{3}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{x^{4}}\, dx"," ",0,"Integral(sinh(a + b*x)**3*cosh(a + b*x)**3/x**4, x)","F",0
334,0,0,0,0.000000," ","integrate(x**m*sech(b*x+a)*sinh(b*x+a),x)","\int x^{m} \sinh{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**m*sinh(a + b*x)*sech(a + b*x), x)","F",0
335,0,0,0,0.000000," ","integrate(x**3*sech(b*x+a)*sinh(b*x+a),x)","\int x^{3} \sinh{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**3*sinh(a + b*x)*sech(a + b*x), x)","F",0
336,0,0,0,0.000000," ","integrate(x**2*sech(b*x+a)*sinh(b*x+a),x)","\int x^{2} \sinh{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**2*sinh(a + b*x)*sech(a + b*x), x)","F",0
337,0,0,0,0.000000," ","integrate(x*sech(b*x+a)*sinh(b*x+a),x)","\int x \sinh{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral(x*sinh(a + b*x)*sech(a + b*x), x)","F",0
338,0,0,0,0.000000," ","integrate(sech(b*x+a)*sinh(b*x+a),x)","\int \sinh{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral(sinh(a + b*x)*sech(a + b*x), x)","F",0
339,0,0,0,0.000000," ","integrate(sech(b*x+a)*sinh(b*x+a)/x,x)","\int \frac{\sinh{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(sinh(a + b*x)*sech(a + b*x)/x, x)","F",0
340,0,0,0,0.000000," ","integrate(sech(b*x+a)*sinh(b*x+a)/x**2,x)","\int \frac{\sinh{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(sinh(a + b*x)*sech(a + b*x)/x**2, x)","F",0
341,0,0,0,0.000000," ","integrate(x**m*sech(b*x+a)**2*sinh(b*x+a),x)","\int x^{m} \sinh{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**m*sinh(a + b*x)*sech(a + b*x)**2, x)","F",0
342,0,0,0,0.000000," ","integrate(x**3*sech(b*x+a)**2*sinh(b*x+a),x)","\int x^{3} \sinh{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**3*sinh(a + b*x)*sech(a + b*x)**2, x)","F",0
343,0,0,0,0.000000," ","integrate(x**2*sech(b*x+a)**2*sinh(b*x+a),x)","\int x^{2} \sinh{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**2*sinh(a + b*x)*sech(a + b*x)**2, x)","F",0
344,0,0,0,0.000000," ","integrate(x*sech(b*x+a)**2*sinh(b*x+a),x)","\int x \sinh{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x*sinh(a + b*x)*sech(a + b*x)**2, x)","F",0
345,0,0,0,0.000000," ","integrate(sech(b*x+a)**2*sinh(b*x+a),x)","\int \sinh{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(sinh(a + b*x)*sech(a + b*x)**2, x)","F",0
346,0,0,0,0.000000," ","integrate(sech(b*x+a)**2*sinh(b*x+a)/x,x)","\int \frac{\sinh{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(sinh(a + b*x)*sech(a + b*x)**2/x, x)","F",0
347,0,0,0,0.000000," ","integrate(sech(b*x+a)**2*sinh(b*x+a)/x**2,x)","\int \frac{\sinh{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(sinh(a + b*x)*sech(a + b*x)**2/x**2, x)","F",0
348,-1,0,0,0.000000," ","integrate(x**m*sech(b*x+a)**3*sinh(b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
349,0,0,0,0.000000," ","integrate(x**3*sech(b*x+a)**3*sinh(b*x+a),x)","\int x^{3} \sinh{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**3*sinh(a + b*x)*sech(a + b*x)**3, x)","F",0
350,0,0,0,0.000000," ","integrate(x**2*sech(b*x+a)**3*sinh(b*x+a),x)","\int x^{2} \sinh{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**2*sinh(a + b*x)*sech(a + b*x)**3, x)","F",0
351,0,0,0,0.000000," ","integrate(x*sech(b*x+a)**3*sinh(b*x+a),x)","\int x \sinh{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(x*sinh(a + b*x)*sech(a + b*x)**3, x)","F",0
352,0,0,0,0.000000," ","integrate(sech(b*x+a)**3*sinh(b*x+a),x)","\int \sinh{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(sinh(a + b*x)*sech(a + b*x)**3, x)","F",0
353,0,0,0,0.000000," ","integrate(sech(b*x+a)**3*sinh(b*x+a)/x,x)","\int \frac{\sinh{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(sinh(a + b*x)*sech(a + b*x)**3/x, x)","F",0
354,0,0,0,0.000000," ","integrate(sech(b*x+a)**3*sinh(b*x+a)/x**2,x)","\int \frac{\sinh{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(sinh(a + b*x)*sech(a + b*x)**3/x**2, x)","F",0
355,0,0,0,0.000000," ","integrate(x**m*sech(b*x+a)*sinh(b*x+a)**2,x)","\int x^{m} \sinh^{2}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**m*sinh(a + b*x)**2*sech(a + b*x), x)","F",0
356,0,0,0,0.000000," ","integrate(x**3*sech(b*x+a)*sinh(b*x+a)**2,x)","\int x^{3} \sinh^{2}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**3*sinh(a + b*x)**2*sech(a + b*x), x)","F",0
357,0,0,0,0.000000," ","integrate(x**2*sech(b*x+a)*sinh(b*x+a)**2,x)","\int x^{2} \sinh^{2}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**2*sinh(a + b*x)**2*sech(a + b*x), x)","F",0
358,0,0,0,0.000000," ","integrate(x*sech(b*x+a)*sinh(b*x+a)**2,x)","\int x \sinh^{2}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral(x*sinh(a + b*x)**2*sech(a + b*x), x)","F",0
359,0,0,0,0.000000," ","integrate(sech(b*x+a)*sinh(b*x+a)**2,x)","\int \sinh^{2}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral(sinh(a + b*x)**2*sech(a + b*x), x)","F",0
360,0,0,0,0.000000," ","integrate(sech(b*x+a)*sinh(b*x+a)**2/x,x)","\int \frac{\sinh^{2}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(sinh(a + b*x)**2*sech(a + b*x)/x, x)","F",0
361,0,0,0,0.000000," ","integrate(sech(b*x+a)*sinh(b*x+a)**2/x**2,x)","\int \frac{\sinh^{2}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(sinh(a + b*x)**2*sech(a + b*x)/x**2, x)","F",0
362,-1,0,0,0.000000," ","integrate(x**m*sech(b*x+a)**2*sinh(b*x+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
363,0,0,0,0.000000," ","integrate(x**3*sech(b*x+a)**2*sinh(b*x+a)**2,x)","\int x^{3} \sinh^{2}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**3*sinh(a + b*x)**2*sech(a + b*x)**2, x)","F",0
364,0,0,0,0.000000," ","integrate(x**2*sech(b*x+a)**2*sinh(b*x+a)**2,x)","\int x^{2} \sinh^{2}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**2*sinh(a + b*x)**2*sech(a + b*x)**2, x)","F",0
365,0,0,0,0.000000," ","integrate(x*sech(b*x+a)**2*sinh(b*x+a)**2,x)","\int x \sinh^{2}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x*sinh(a + b*x)**2*sech(a + b*x)**2, x)","F",0
366,0,0,0,0.000000," ","integrate(sech(b*x+a)**2*sinh(b*x+a)**2,x)","\int \sinh^{2}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(sinh(a + b*x)**2*sech(a + b*x)**2, x)","F",0
367,0,0,0,0.000000," ","integrate(sech(b*x+a)**2*sinh(b*x+a)**2/x,x)","\int \frac{\sinh^{2}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(sinh(a + b*x)**2*sech(a + b*x)**2/x, x)","F",0
368,0,0,0,0.000000," ","integrate(sech(b*x+a)**2*sinh(b*x+a)**2/x**2,x)","\int \frac{\sinh^{2}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(sinh(a + b*x)**2*sech(a + b*x)**2/x**2, x)","F",0
369,-1,0,0,0.000000," ","integrate(x**m*sech(b*x+a)**3*sinh(b*x+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
370,-1,0,0,0.000000," ","integrate(x**3*sech(b*x+a)**3*sinh(b*x+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
371,0,0,0,0.000000," ","integrate(x**2*sech(b*x+a)**3*sinh(b*x+a)**2,x)","\int x^{2} \sinh^{2}{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**2*sinh(a + b*x)**2*sech(a + b*x)**3, x)","F",0
372,0,0,0,0.000000," ","integrate(x*sech(b*x+a)**3*sinh(b*x+a)**2,x)","\int x \sinh^{2}{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(x*sinh(a + b*x)**2*sech(a + b*x)**3, x)","F",0
373,0,0,0,0.000000," ","integrate(sech(b*x+a)**3*sinh(b*x+a)**2,x)","\int \sinh^{2}{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(sinh(a + b*x)**2*sech(a + b*x)**3, x)","F",0
374,0,0,0,0.000000," ","integrate(sech(b*x+a)**3*sinh(b*x+a)**2/x,x)","\int \frac{\sinh^{2}{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(sinh(a + b*x)**2*sech(a + b*x)**3/x, x)","F",0
375,0,0,0,0.000000," ","integrate(sech(b*x+a)**3*sinh(b*x+a)**2/x**2,x)","\int \frac{\sinh^{2}{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(sinh(a + b*x)**2*sech(a + b*x)**3/x**2, x)","F",0
376,-1,0,0,0.000000," ","integrate(x**m*sech(b*x+a)*sinh(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
377,0,0,0,0.000000," ","integrate(x**3*sech(b*x+a)*sinh(b*x+a)**3,x)","\int x^{3} \sinh^{3}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**3*sinh(a + b*x)**3*sech(a + b*x), x)","F",0
378,0,0,0,0.000000," ","integrate(x**2*sech(b*x+a)*sinh(b*x+a)**3,x)","\int x^{2} \sinh^{3}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**2*sinh(a + b*x)**3*sech(a + b*x), x)","F",0
379,0,0,0,0.000000," ","integrate(x*sech(b*x+a)*sinh(b*x+a)**3,x)","\int x \sinh^{3}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral(x*sinh(a + b*x)**3*sech(a + b*x), x)","F",0
380,0,0,0,0.000000," ","integrate(sech(b*x+a)*sinh(b*x+a)**3,x)","\int \sinh^{3}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral(sinh(a + b*x)**3*sech(a + b*x), x)","F",0
381,0,0,0,0.000000," ","integrate(sech(b*x+a)*sinh(b*x+a)**3/x,x)","\int \frac{\sinh^{3}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(sinh(a + b*x)**3*sech(a + b*x)/x, x)","F",0
382,0,0,0,0.000000," ","integrate(sech(b*x+a)*sinh(b*x+a)**3/x**2,x)","\int \frac{\sinh^{3}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(sinh(a + b*x)**3*sech(a + b*x)/x**2, x)","F",0
383,-1,0,0,0.000000," ","integrate(x**m*sech(b*x+a)**2*sinh(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
384,-1,0,0,0.000000," ","integrate(x**3*sech(b*x+a)**2*sinh(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
385,0,0,0,0.000000," ","integrate(x**2*sech(b*x+a)**2*sinh(b*x+a)**3,x)","\int x^{2} \sinh^{3}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**2*sinh(a + b*x)**3*sech(a + b*x)**2, x)","F",0
386,0,0,0,0.000000," ","integrate(x*sech(b*x+a)**2*sinh(b*x+a)**3,x)","\int x \sinh^{3}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x*sinh(a + b*x)**3*sech(a + b*x)**2, x)","F",0
387,0,0,0,0.000000," ","integrate(sech(b*x+a)**2*sinh(b*x+a)**3,x)","\int \sinh^{3}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(sinh(a + b*x)**3*sech(a + b*x)**2, x)","F",0
388,0,0,0,0.000000," ","integrate(sech(b*x+a)**2*sinh(b*x+a)**3/x,x)","\int \frac{\sinh^{3}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(sinh(a + b*x)**3*sech(a + b*x)**2/x, x)","F",0
389,0,0,0,0.000000," ","integrate(sech(b*x+a)**2*sinh(b*x+a)**3/x**2,x)","\int \frac{\sinh^{3}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(sinh(a + b*x)**3*sech(a + b*x)**2/x**2, x)","F",0
390,-1,0,0,0.000000," ","integrate(x**m*sech(b*x+a)**3*sinh(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
391,-1,0,0,0.000000," ","integrate(x**3*sech(b*x+a)**3*sinh(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
392,-1,0,0,0.000000," ","integrate(x**2*sech(b*x+a)**3*sinh(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
393,0,0,0,0.000000," ","integrate(x*sech(b*x+a)**3*sinh(b*x+a)**3,x)","\int x \sinh^{3}{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(x*sinh(a + b*x)**3*sech(a + b*x)**3, x)","F",0
394,0,0,0,0.000000," ","integrate(sech(b*x+a)**3*sinh(b*x+a)**3,x)","\int \sinh^{3}{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(sinh(a + b*x)**3*sech(a + b*x)**3, x)","F",0
395,0,0,0,0.000000," ","integrate(sech(b*x+a)**3*sinh(b*x+a)**3/x,x)","\int \frac{\sinh^{3}{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(sinh(a + b*x)**3*sech(a + b*x)**3/x, x)","F",0
396,0,0,0,0.000000," ","integrate(sech(b*x+a)**3*sinh(b*x+a)**3/x**2,x)","\int \frac{\sinh^{3}{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(sinh(a + b*x)**3*sech(a + b*x)**3/x**2, x)","F",0
397,0,0,0,0.000000," ","integrate(x**m*cosh(b*x+a)*csch(b*x+a),x)","\int x^{m} \cosh{\left(a + b x \right)} \operatorname{csch}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**m*cosh(a + b*x)*csch(a + b*x), x)","F",0
398,0,0,0,0.000000," ","integrate(x**3*cosh(b*x+a)*csch(b*x+a),x)","\int x^{3} \cosh{\left(a + b x \right)} \operatorname{csch}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**3*cosh(a + b*x)*csch(a + b*x), x)","F",0
399,0,0,0,0.000000," ","integrate(x**2*cosh(b*x+a)*csch(b*x+a),x)","\int x^{2} \cosh{\left(a + b x \right)} \operatorname{csch}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**2*cosh(a + b*x)*csch(a + b*x), x)","F",0
400,0,0,0,0.000000," ","integrate(x*cosh(b*x+a)*csch(b*x+a),x)","\int x \cosh{\left(a + b x \right)} \operatorname{csch}{\left(a + b x \right)}\, dx"," ",0,"Integral(x*cosh(a + b*x)*csch(a + b*x), x)","F",0
401,0,0,0,0.000000," ","integrate(cosh(b*x+a)*csch(b*x+a),x)","\int \cosh{\left(a + b x \right)} \operatorname{csch}{\left(a + b x \right)}\, dx"," ",0,"Integral(cosh(a + b*x)*csch(a + b*x), x)","F",0
402,0,0,0,0.000000," ","integrate(cosh(b*x+a)*csch(b*x+a)/x,x)","\int \frac{\cosh{\left(a + b x \right)} \operatorname{csch}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(cosh(a + b*x)*csch(a + b*x)/x, x)","F",0
403,0,0,0,0.000000," ","integrate(cosh(b*x+a)*csch(b*x+a)/x**2,x)","\int \frac{\cosh{\left(a + b x \right)} \operatorname{csch}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(cosh(a + b*x)*csch(a + b*x)/x**2, x)","F",0
404,-1,0,0,0.000000," ","integrate(x**m*cosh(b*x+a)**2*csch(b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
405,0,0,0,0.000000," ","integrate(x**3*cosh(b*x+a)**2*csch(b*x+a),x)","\int x^{3} \cosh^{2}{\left(a + b x \right)} \operatorname{csch}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**3*cosh(a + b*x)**2*csch(a + b*x), x)","F",0
406,0,0,0,0.000000," ","integrate(x**2*cosh(b*x+a)**2*csch(b*x+a),x)","\int x^{2} \cosh^{2}{\left(a + b x \right)} \operatorname{csch}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**2*cosh(a + b*x)**2*csch(a + b*x), x)","F",0
407,0,0,0,0.000000," ","integrate(x*cosh(b*x+a)**2*csch(b*x+a),x)","\int x \cosh^{2}{\left(a + b x \right)} \operatorname{csch}{\left(a + b x \right)}\, dx"," ",0,"Integral(x*cosh(a + b*x)**2*csch(a + b*x), x)","F",0
408,0,0,0,0.000000," ","integrate(cosh(b*x+a)**2*csch(b*x+a),x)","\int \cosh^{2}{\left(a + b x \right)} \operatorname{csch}{\left(a + b x \right)}\, dx"," ",0,"Integral(cosh(a + b*x)**2*csch(a + b*x), x)","F",0
409,0,0,0,0.000000," ","integrate(cosh(b*x+a)**2*csch(b*x+a)/x,x)","\int \frac{\cosh^{2}{\left(a + b x \right)} \operatorname{csch}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(cosh(a + b*x)**2*csch(a + b*x)/x, x)","F",0
410,0,0,0,0.000000," ","integrate(cosh(b*x+a)**2*csch(b*x+a)/x**2,x)","\int \frac{\cosh^{2}{\left(a + b x \right)} \operatorname{csch}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(cosh(a + b*x)**2*csch(a + b*x)/x**2, x)","F",0
411,-1,0,0,0.000000," ","integrate(x**m*cosh(b*x+a)**3*csch(b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
412,-1,0,0,0.000000," ","integrate(x**3*cosh(b*x+a)**3*csch(b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
413,-1,0,0,0.000000," ","integrate(x**2*cosh(b*x+a)**3*csch(b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
414,0,0,0,0.000000," ","integrate(x*cosh(b*x+a)**3*csch(b*x+a),x)","\int x \cosh^{3}{\left(a + b x \right)} \operatorname{csch}{\left(a + b x \right)}\, dx"," ",0,"Integral(x*cosh(a + b*x)**3*csch(a + b*x), x)","F",0
415,0,0,0,0.000000," ","integrate(cosh(b*x+a)**3*csch(b*x+a),x)","\int \cosh^{3}{\left(a + b x \right)} \operatorname{csch}{\left(a + b x \right)}\, dx"," ",0,"Integral(cosh(a + b*x)**3*csch(a + b*x), x)","F",0
416,0,0,0,0.000000," ","integrate(cosh(b*x+a)**3*csch(b*x+a)/x,x)","\int \frac{\cosh^{3}{\left(a + b x \right)} \operatorname{csch}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(cosh(a + b*x)**3*csch(a + b*x)/x, x)","F",0
417,0,0,0,0.000000," ","integrate(cosh(b*x+a)**3*csch(b*x+a)/x**2,x)","\int \frac{\cosh^{3}{\left(a + b x \right)} \operatorname{csch}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(cosh(a + b*x)**3*csch(a + b*x)/x**2, x)","F",0
418,0,0,0,0.000000," ","integrate(x*cosh(x)**2*coth(x)**2,x)","\int x \cosh^{2}{\left(x \right)} \coth^{2}{\left(x \right)}\, dx"," ",0,"Integral(x*cosh(x)**2*coth(x)**2, x)","F",0
419,0,0,0,0.000000," ","integrate(x**2*cosh(x)**2*coth(x)**2,x)","\int x^{2} \cosh^{2}{\left(x \right)} \coth^{2}{\left(x \right)}\, dx"," ",0,"Integral(x**2*cosh(x)**2*coth(x)**2, x)","F",0
420,0,0,0,0.000000," ","integrate(x**3*cosh(x)**2*coth(x)**2,x)","\int x^{3} \cosh^{2}{\left(x \right)} \coth^{2}{\left(x \right)}\, dx"," ",0,"Integral(x**3*cosh(x)**2*coth(x)**2, x)","F",0
421,0,0,0,0.000000," ","integrate(x*cosh(x)**2*coth(x)**3,x)","\int x \cosh^{2}{\left(x \right)} \coth^{3}{\left(x \right)}\, dx"," ",0,"Integral(x*cosh(x)**2*coth(x)**3, x)","F",0
422,0,0,0,0.000000," ","integrate(x**2*cosh(x)**2*coth(x)**3,x)","\int x^{2} \cosh^{2}{\left(x \right)} \coth^{3}{\left(x \right)}\, dx"," ",0,"Integral(x**2*cosh(x)**2*coth(x)**3, x)","F",0
423,0,0,0,0.000000," ","integrate(x**3*cosh(x)**2*coth(x)**3,x)","\int x^{3} \cosh^{2}{\left(x \right)} \coth^{3}{\left(x \right)}\, dx"," ",0,"Integral(x**3*cosh(x)**2*coth(x)**3, x)","F",0
424,-1,0,0,0.000000," ","integrate(x**m*cosh(b*x+a)*csch(b*x+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
425,-1,0,0,0.000000," ","integrate(x**3*cosh(b*x+a)*csch(b*x+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
426,0,0,0,0.000000," ","integrate(x**2*cosh(b*x+a)*csch(b*x+a)**2,x)","\int x^{2} \cosh{\left(a + b x \right)} \operatorname{csch}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**2*cosh(a + b*x)*csch(a + b*x)**2, x)","F",0
427,0,0,0,0.000000," ","integrate(x*cosh(b*x+a)*csch(b*x+a)**2,x)","\int x \cosh{\left(a + b x \right)} \operatorname{csch}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x*cosh(a + b*x)*csch(a + b*x)**2, x)","F",0
428,0,0,0,0.000000," ","integrate(cosh(b*x+a)*csch(b*x+a)**2,x)","\int \cosh{\left(a + b x \right)} \operatorname{csch}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(cosh(a + b*x)*csch(a + b*x)**2, x)","F",0
429,0,0,0,0.000000," ","integrate(cosh(b*x+a)*csch(b*x+a)**2/x,x)","\int \frac{\cosh{\left(a + b x \right)} \operatorname{csch}^{2}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(cosh(a + b*x)*csch(a + b*x)**2/x, x)","F",0
430,0,0,0,0.000000," ","integrate(cosh(b*x+a)*csch(b*x+a)**2/x**2,x)","\int \frac{\cosh{\left(a + b x \right)} \operatorname{csch}^{2}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(cosh(a + b*x)*csch(a + b*x)**2/x**2, x)","F",0
431,-1,0,0,0.000000," ","integrate(x**m*cosh(b*x+a)**2*csch(b*x+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
432,-1,0,0,0.000000," ","integrate(x**3*cosh(b*x+a)**2*csch(b*x+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
433,-1,0,0,0.000000," ","integrate(x**2*cosh(b*x+a)**2*csch(b*x+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
434,0,0,0,0.000000," ","integrate(x*cosh(b*x+a)**2*csch(b*x+a)**2,x)","\int x \cosh^{2}{\left(a + b x \right)} \operatorname{csch}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x*cosh(a + b*x)**2*csch(a + b*x)**2, x)","F",0
435,0,0,0,0.000000," ","integrate(cosh(b*x+a)**2*csch(b*x+a)**2,x)","\int \cosh^{2}{\left(a + b x \right)} \operatorname{csch}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(cosh(a + b*x)**2*csch(a + b*x)**2, x)","F",0
436,0,0,0,0.000000," ","integrate(cosh(b*x+a)**2*csch(b*x+a)**2/x,x)","\int \frac{\cosh^{2}{\left(a + b x \right)} \operatorname{csch}^{2}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(cosh(a + b*x)**2*csch(a + b*x)**2/x, x)","F",0
437,0,0,0,0.000000," ","integrate(cosh(b*x+a)**2*csch(b*x+a)**2/x**2,x)","\int \frac{\cosh^{2}{\left(a + b x \right)} \operatorname{csch}^{2}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(cosh(a + b*x)**2*csch(a + b*x)**2/x**2, x)","F",0
438,-1,0,0,0.000000," ","integrate(x**m*cosh(b*x+a)**3*csch(b*x+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
439,-1,0,0,0.000000," ","integrate(x**3*cosh(b*x+a)**3*csch(b*x+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
440,-1,0,0,0.000000," ","integrate(x**2*cosh(b*x+a)**3*csch(b*x+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
441,-1,0,0,0.000000," ","integrate(x*cosh(b*x+a)**3*csch(b*x+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
442,0,0,0,0.000000," ","integrate(cosh(b*x+a)**3*csch(b*x+a)**2,x)","\int \cosh^{3}{\left(a + b x \right)} \operatorname{csch}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(cosh(a + b*x)**3*csch(a + b*x)**2, x)","F",0
443,0,0,0,0.000000," ","integrate(cosh(b*x+a)**3*csch(b*x+a)**2/x,x)","\int \frac{\cosh^{3}{\left(a + b x \right)} \operatorname{csch}^{2}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(cosh(a + b*x)**3*csch(a + b*x)**2/x, x)","F",0
444,0,0,0,0.000000," ","integrate(cosh(b*x+a)**3*csch(b*x+a)**2/x**2,x)","\int \frac{\cosh^{3}{\left(a + b x \right)} \operatorname{csch}^{2}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(cosh(a + b*x)**3*csch(a + b*x)**2/x**2, x)","F",0
445,-1,0,0,0.000000," ","integrate(x**m*cosh(b*x+a)*csch(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
446,-1,0,0,0.000000," ","integrate(x**3*cosh(b*x+a)*csch(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
447,-1,0,0,0.000000," ","integrate(x**2*cosh(b*x+a)*csch(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
448,0,0,0,0.000000," ","integrate(x*cosh(b*x+a)*csch(b*x+a)**3,x)","\int x \cosh{\left(a + b x \right)} \operatorname{csch}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(x*cosh(a + b*x)*csch(a + b*x)**3, x)","F",0
449,0,0,0,0.000000," ","integrate(cosh(b*x+a)*csch(b*x+a)**3,x)","\int \cosh{\left(a + b x \right)} \operatorname{csch}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(cosh(a + b*x)*csch(a + b*x)**3, x)","F",0
450,0,0,0,0.000000," ","integrate(cosh(b*x+a)*csch(b*x+a)**3/x,x)","\int \frac{\cosh{\left(a + b x \right)} \operatorname{csch}^{3}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(cosh(a + b*x)*csch(a + b*x)**3/x, x)","F",0
451,0,0,0,0.000000," ","integrate(cosh(b*x+a)*csch(b*x+a)**3/x**2,x)","\int \frac{\cosh{\left(a + b x \right)} \operatorname{csch}^{3}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(cosh(a + b*x)*csch(a + b*x)**3/x**2, x)","F",0
452,-1,0,0,0.000000," ","integrate(x**m*cosh(b*x+a)**2*csch(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
453,-1,0,0,0.000000," ","integrate(x**3*cosh(b*x+a)**2*csch(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
454,-1,0,0,0.000000," ","integrate(x**2*cosh(b*x+a)**2*csch(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
455,0,0,0,0.000000," ","integrate(x*cosh(b*x+a)**2*csch(b*x+a)**3,x)","\int x \cosh^{2}{\left(a + b x \right)} \operatorname{csch}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(x*cosh(a + b*x)**2*csch(a + b*x)**3, x)","F",0
456,0,0,0,0.000000," ","integrate(cosh(b*x+a)**2*csch(b*x+a)**3,x)","\int \cosh^{2}{\left(a + b x \right)} \operatorname{csch}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(cosh(a + b*x)**2*csch(a + b*x)**3, x)","F",0
457,0,0,0,0.000000," ","integrate(cosh(b*x+a)**2*csch(b*x+a)**3/x,x)","\int \frac{\cosh^{2}{\left(a + b x \right)} \operatorname{csch}^{3}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(cosh(a + b*x)**2*csch(a + b*x)**3/x, x)","F",0
458,0,0,0,0.000000," ","integrate(cosh(b*x+a)**2*csch(b*x+a)**3/x**2,x)","\int \frac{\cosh^{2}{\left(a + b x \right)} \operatorname{csch}^{3}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(cosh(a + b*x)**2*csch(a + b*x)**3/x**2, x)","F",0
459,-1,0,0,0.000000," ","integrate(x**m*cosh(b*x+a)**3*csch(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
460,-1,0,0,0.000000," ","integrate(x**3*cosh(b*x+a)**3*csch(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
461,-1,0,0,0.000000," ","integrate(x**2*cosh(b*x+a)**3*csch(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
462,-1,0,0,0.000000," ","integrate(x*cosh(b*x+a)**3*csch(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
463,-1,0,0,0.000000," ","integrate(cosh(b*x+a)**3*csch(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
464,0,0,0,0.000000," ","integrate(cosh(b*x+a)**3*csch(b*x+a)**3/x,x)","\int \frac{\cosh^{3}{\left(a + b x \right)} \operatorname{csch}^{3}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(cosh(a + b*x)**3*csch(a + b*x)**3/x, x)","F",0
465,-1,0,0,0.000000," ","integrate(cosh(b*x+a)**3*csch(b*x+a)**3/x**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
466,0,0,0,0.000000," ","integrate(x**m*csch(b*x+a)*sech(b*x+a),x)","\int x^{m} \operatorname{csch}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**m*csch(a + b*x)*sech(a + b*x), x)","F",0
467,0,0,0,0.000000," ","integrate(x**3*csch(b*x+a)*sech(b*x+a),x)","\int x^{3} \operatorname{csch}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**3*csch(a + b*x)*sech(a + b*x), x)","F",0
468,0,0,0,0.000000," ","integrate(x**2*csch(b*x+a)*sech(b*x+a),x)","\int x^{2} \operatorname{csch}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**2*csch(a + b*x)*sech(a + b*x), x)","F",0
469,0,0,0,0.000000," ","integrate(x*csch(b*x+a)*sech(b*x+a),x)","\int x \operatorname{csch}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral(x*csch(a + b*x)*sech(a + b*x), x)","F",0
470,0,0,0,0.000000," ","integrate(csch(b*x+a)*sech(b*x+a),x)","\int \operatorname{csch}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral(csch(a + b*x)*sech(a + b*x), x)","F",0
471,0,0,0,0.000000," ","integrate(csch(b*x+a)*sech(b*x+a)/x,x)","\int \frac{\operatorname{csch}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(csch(a + b*x)*sech(a + b*x)/x, x)","F",0
472,0,0,0,0.000000," ","integrate(csch(b*x+a)*sech(b*x+a)/x**2,x)","\int \frac{\operatorname{csch}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(csch(a + b*x)*sech(a + b*x)/x**2, x)","F",0
473,0,0,0,0.000000," ","integrate(x**m*csch(b*x+a)*sech(b*x+a)**2,x)","\int x^{m} \operatorname{csch}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**m*csch(a + b*x)*sech(a + b*x)**2, x)","F",0
474,0,0,0,0.000000," ","integrate(x**3*csch(b*x+a)*sech(b*x+a)**2,x)","\int x^{3} \operatorname{csch}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**3*csch(a + b*x)*sech(a + b*x)**2, x)","F",0
475,0,0,0,0.000000," ","integrate(x**2*csch(b*x+a)*sech(b*x+a)**2,x)","\int x^{2} \operatorname{csch}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**2*csch(a + b*x)*sech(a + b*x)**2, x)","F",0
476,0,0,0,0.000000," ","integrate(x*csch(b*x+a)*sech(b*x+a)**2,x)","\int x \operatorname{csch}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x*csch(a + b*x)*sech(a + b*x)**2, x)","F",0
477,0,0,0,0.000000," ","integrate(csch(b*x+a)*sech(b*x+a)**2,x)","\int \operatorname{csch}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(csch(a + b*x)*sech(a + b*x)**2, x)","F",0
478,0,0,0,0.000000," ","integrate(csch(b*x+a)*sech(b*x+a)**2/x,x)","\int \frac{\operatorname{csch}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(csch(a + b*x)*sech(a + b*x)**2/x, x)","F",0
479,0,0,0,0.000000," ","integrate(csch(b*x+a)*sech(b*x+a)**2/x**2,x)","\int \frac{\operatorname{csch}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(csch(a + b*x)*sech(a + b*x)**2/x**2, x)","F",0
480,0,0,0,0.000000," ","integrate(x**m*csch(b*x+a)*sech(b*x+a)**3,x)","\int x^{m} \operatorname{csch}{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**m*csch(a + b*x)*sech(a + b*x)**3, x)","F",0
481,0,0,0,0.000000," ","integrate(x**3*csch(b*x+a)*sech(b*x+a)**3,x)","\int x^{3} \operatorname{csch}{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**3*csch(a + b*x)*sech(a + b*x)**3, x)","F",0
482,0,0,0,0.000000," ","integrate(x**2*csch(b*x+a)*sech(b*x+a)**3,x)","\int x^{2} \operatorname{csch}{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**2*csch(a + b*x)*sech(a + b*x)**3, x)","F",0
483,0,0,0,0.000000," ","integrate(x*csch(b*x+a)*sech(b*x+a)**3,x)","\int x \operatorname{csch}{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(x*csch(a + b*x)*sech(a + b*x)**3, x)","F",0
484,0,0,0,0.000000," ","integrate(csch(b*x+a)*sech(b*x+a)**3,x)","\int \operatorname{csch}{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(csch(a + b*x)*sech(a + b*x)**3, x)","F",0
485,0,0,0,0.000000," ","integrate(csch(b*x+a)*sech(b*x+a)**3/x,x)","\int \frac{\operatorname{csch}{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(csch(a + b*x)*sech(a + b*x)**3/x, x)","F",0
486,0,0,0,0.000000," ","integrate(csch(b*x+a)*sech(b*x+a)**3/x**2,x)","\int \frac{\operatorname{csch}{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(csch(a + b*x)*sech(a + b*x)**3/x**2, x)","F",0
487,0,0,0,0.000000," ","integrate(x**m*csch(b*x+a)**2*sech(b*x+a),x)","\int x^{m} \operatorname{csch}^{2}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**m*csch(a + b*x)**2*sech(a + b*x), x)","F",0
488,0,0,0,0.000000," ","integrate(x**3*csch(b*x+a)**2*sech(b*x+a),x)","\int x^{3} \operatorname{csch}^{2}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**3*csch(a + b*x)**2*sech(a + b*x), x)","F",0
489,0,0,0,0.000000," ","integrate(x**2*csch(b*x+a)**2*sech(b*x+a),x)","\int x^{2} \operatorname{csch}^{2}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**2*csch(a + b*x)**2*sech(a + b*x), x)","F",0
490,0,0,0,0.000000," ","integrate(x*csch(b*x+a)**2*sech(b*x+a),x)","\int x \operatorname{csch}^{2}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral(x*csch(a + b*x)**2*sech(a + b*x), x)","F",0
491,0,0,0,0.000000," ","integrate(csch(b*x+a)**2*sech(b*x+a),x)","\int \operatorname{csch}^{2}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral(csch(a + b*x)**2*sech(a + b*x), x)","F",0
492,0,0,0,0.000000," ","integrate(csch(b*x+a)**2*sech(b*x+a)/x,x)","\int \frac{\operatorname{csch}^{2}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(csch(a + b*x)**2*sech(a + b*x)/x, x)","F",0
493,0,0,0,0.000000," ","integrate(csch(b*x+a)**2*sech(b*x+a)/x**2,x)","\int \frac{\operatorname{csch}^{2}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(csch(a + b*x)**2*sech(a + b*x)/x**2, x)","F",0
494,0,0,0,0.000000," ","integrate(x**m*csch(b*x+a)**2*sech(b*x+a)**2,x)","\int x^{m} \operatorname{csch}^{2}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**m*csch(a + b*x)**2*sech(a + b*x)**2, x)","F",0
495,0,0,0,0.000000," ","integrate(x**3*csch(b*x+a)**2*sech(b*x+a)**2,x)","\int x^{3} \operatorname{csch}^{2}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**3*csch(a + b*x)**2*sech(a + b*x)**2, x)","F",0
496,0,0,0,0.000000," ","integrate(x**2*csch(b*x+a)**2*sech(b*x+a)**2,x)","\int x^{2} \operatorname{csch}^{2}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**2*csch(a + b*x)**2*sech(a + b*x)**2, x)","F",0
497,0,0,0,0.000000," ","integrate(x*csch(b*x+a)**2*sech(b*x+a)**2,x)","\int x \operatorname{csch}^{2}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x*csch(a + b*x)**2*sech(a + b*x)**2, x)","F",0
498,0,0,0,0.000000," ","integrate(csch(b*x+a)**2*sech(b*x+a)**2,x)","\int \operatorname{csch}^{2}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(csch(a + b*x)**2*sech(a + b*x)**2, x)","F",0
499,0,0,0,0.000000," ","integrate(csch(b*x+a)**2*sech(b*x+a)**2/x,x)","\int \frac{\operatorname{csch}^{2}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(csch(a + b*x)**2*sech(a + b*x)**2/x, x)","F",0
500,0,0,0,0.000000," ","integrate(csch(b*x+a)**2*sech(b*x+a)**2/x**2,x)","\int \frac{\operatorname{csch}^{2}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(csch(a + b*x)**2*sech(a + b*x)**2/x**2, x)","F",0
501,0,0,0,0.000000," ","integrate(x**m*csch(b*x+a)**2*sech(b*x+a)**3,x)","\int x^{m} \operatorname{csch}^{2}{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**m*csch(a + b*x)**2*sech(a + b*x)**3, x)","F",0
502,0,0,0,0.000000," ","integrate(x**2*csch(b*x+a)**2*sech(b*x+a)**3,x)","\int x^{2} \operatorname{csch}^{2}{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**2*csch(a + b*x)**2*sech(a + b*x)**3, x)","F",0
503,0,0,0,0.000000," ","integrate(x*csch(b*x+a)**2*sech(b*x+a)**3,x)","\int x \operatorname{csch}^{2}{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(x*csch(a + b*x)**2*sech(a + b*x)**3, x)","F",0
504,0,0,0,0.000000," ","integrate(csch(b*x+a)**2*sech(b*x+a)**3,x)","\int \operatorname{csch}^{2}{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(csch(a + b*x)**2*sech(a + b*x)**3, x)","F",0
505,0,0,0,0.000000," ","integrate(csch(b*x+a)**2*sech(b*x+a)**3/x,x)","\int \frac{\operatorname{csch}^{2}{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(csch(a + b*x)**2*sech(a + b*x)**3/x, x)","F",0
506,0,0,0,0.000000," ","integrate(csch(b*x+a)**2*sech(b*x+a)**3/x**2,x)","\int \frac{\operatorname{csch}^{2}{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(csch(a + b*x)**2*sech(a + b*x)**3/x**2, x)","F",0
507,0,0,0,0.000000," ","integrate(x**m*csch(b*x+a)**3*sech(b*x+a),x)","\int x^{m} \operatorname{csch}^{3}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**m*csch(a + b*x)**3*sech(a + b*x), x)","F",0
508,0,0,0,0.000000," ","integrate(x**3*csch(b*x+a)**3*sech(b*x+a),x)","\int x^{3} \operatorname{csch}^{3}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**3*csch(a + b*x)**3*sech(a + b*x), x)","F",0
509,0,0,0,0.000000," ","integrate(x**2*csch(b*x+a)**3*sech(b*x+a),x)","\int x^{2} \operatorname{csch}^{3}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**2*csch(a + b*x)**3*sech(a + b*x), x)","F",0
510,0,0,0,0.000000," ","integrate(x*csch(b*x+a)**3*sech(b*x+a),x)","\int x \operatorname{csch}^{3}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral(x*csch(a + b*x)**3*sech(a + b*x), x)","F",0
511,0,0,0,0.000000," ","integrate(csch(b*x+a)**3*sech(b*x+a),x)","\int \operatorname{csch}^{3}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral(csch(a + b*x)**3*sech(a + b*x), x)","F",0
512,0,0,0,0.000000," ","integrate(csch(b*x+a)**3*sech(b*x+a)/x,x)","\int \frac{\operatorname{csch}^{3}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(csch(a + b*x)**3*sech(a + b*x)/x, x)","F",0
513,0,0,0,0.000000," ","integrate(csch(b*x+a)**3*sech(b*x+a)/x**2,x)","\int \frac{\operatorname{csch}^{3}{\left(a + b x \right)} \operatorname{sech}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(csch(a + b*x)**3*sech(a + b*x)/x**2, x)","F",0
514,0,0,0,0.000000," ","integrate(x**m*csch(b*x+a)**3*sech(b*x+a)**2,x)","\int x^{m} \operatorname{csch}^{3}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**m*csch(a + b*x)**3*sech(a + b*x)**2, x)","F",0
515,0,0,0,0.000000," ","integrate(x**3*csch(b*x+a)**3*sech(b*x+a)**2,x)","\int x^{3} \operatorname{csch}^{3}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**3*csch(a + b*x)**3*sech(a + b*x)**2, x)","F",0
516,0,0,0,0.000000," ","integrate(x**2*csch(b*x+a)**3*sech(b*x+a)**2,x)","\int x^{2} \operatorname{csch}^{3}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**2*csch(a + b*x)**3*sech(a + b*x)**2, x)","F",0
517,0,0,0,0.000000," ","integrate(x*csch(b*x+a)**3*sech(b*x+a)**2,x)","\int x \operatorname{csch}^{3}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x*csch(a + b*x)**3*sech(a + b*x)**2, x)","F",0
518,0,0,0,0.000000," ","integrate(csch(b*x+a)**3*sech(b*x+a)**2,x)","\int \operatorname{csch}^{3}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(csch(a + b*x)**3*sech(a + b*x)**2, x)","F",0
519,0,0,0,0.000000," ","integrate(csch(b*x+a)**3*sech(b*x+a)**2/x,x)","\int \frac{\operatorname{csch}^{3}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(csch(a + b*x)**3*sech(a + b*x)**2/x, x)","F",0
520,0,0,0,0.000000," ","integrate(csch(b*x+a)**3*sech(b*x+a)**2/x**2,x)","\int \frac{\operatorname{csch}^{3}{\left(a + b x \right)} \operatorname{sech}^{2}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(csch(a + b*x)**3*sech(a + b*x)**2/x**2, x)","F",0
521,0,0,0,0.000000," ","integrate(x**m*csch(b*x+a)**3*sech(b*x+a)**3,x)","\int x^{m} \operatorname{csch}^{3}{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**m*csch(a + b*x)**3*sech(a + b*x)**3, x)","F",0
522,0,0,0,0.000000," ","integrate(x**3*csch(b*x+a)**3*sech(b*x+a)**3,x)","\int x^{3} \operatorname{csch}^{3}{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**3*csch(a + b*x)**3*sech(a + b*x)**3, x)","F",0
523,0,0,0,0.000000," ","integrate(x**2*csch(b*x+a)**3*sech(b*x+a)**3,x)","\int x^{2} \operatorname{csch}^{3}{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**2*csch(a + b*x)**3*sech(a + b*x)**3, x)","F",0
524,0,0,0,0.000000," ","integrate(x*csch(b*x+a)**3*sech(b*x+a)**3,x)","\int x \operatorname{csch}^{3}{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(x*csch(a + b*x)**3*sech(a + b*x)**3, x)","F",0
525,0,0,0,0.000000," ","integrate(csch(b*x+a)**3*sech(b*x+a)**3,x)","\int \operatorname{csch}^{3}{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(csch(a + b*x)**3*sech(a + b*x)**3, x)","F",0
526,0,0,0,0.000000," ","integrate(csch(b*x+a)**3*sech(b*x+a)**3/x,x)","\int \frac{\operatorname{csch}^{3}{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(csch(a + b*x)**3*sech(a + b*x)**3/x, x)","F",0
527,0,0,0,0.000000," ","integrate(csch(b*x+a)**3*sech(b*x+a)**3/x**2,x)","\int \frac{\operatorname{csch}^{3}{\left(a + b x \right)} \operatorname{sech}^{3}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(csch(a + b*x)**3*sech(a + b*x)**3/x**2, x)","F",0
528,-1,0,0,0.000000," ","integrate(x*cosh(b*x+a)**(5/2)*sinh(b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
529,-1,0,0,0.000000," ","integrate(x*cosh(b*x+a)**(3/2)*sinh(b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
530,0,0,0,0.000000," ","integrate(x*sinh(b*x+a)*cosh(b*x+a)**(1/2),x)","\int x \sinh{\left(a + b x \right)} \sqrt{\cosh{\left(a + b x \right)}}\, dx"," ",0,"Integral(x*sinh(a + b*x)*sqrt(cosh(a + b*x)), x)","F",0
531,0,0,0,0.000000," ","integrate(x*sinh(b*x+a)/cosh(b*x+a)**(1/2),x)","\int \frac{x \sinh{\left(a + b x \right)}}{\sqrt{\cosh{\left(a + b x \right)}}}\, dx"," ",0,"Integral(x*sinh(a + b*x)/sqrt(cosh(a + b*x)), x)","F",0
532,0,0,0,0.000000," ","integrate(x*sinh(b*x+a)/cosh(b*x+a)**(3/2),x)","\int \frac{x \sinh{\left(a + b x \right)}}{\cosh^{\frac{3}{2}}{\left(a + b x \right)}}\, dx"," ",0,"Integral(x*sinh(a + b*x)/cosh(a + b*x)**(3/2), x)","F",0
533,-1,0,0,0.000000," ","integrate(x*sinh(b*x+a)/cosh(b*x+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
534,-1,0,0,0.000000," ","integrate(x*sinh(b*x+a)/cosh(b*x+a)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
535,-1,0,0,0.000000," ","integrate(x*sinh(b*x+a)/cosh(b*x+a)**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
536,-1,0,0,0.000000," ","integrate(x*sech(b*x+a)**(9/2)*sinh(b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
537,-1,0,0,0.000000," ","integrate(x*sech(b*x+a)**(7/2)*sinh(b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
538,-1,0,0,0.000000," ","integrate(x*sech(b*x+a)**(5/2)*sinh(b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
539,-1,0,0,0.000000," ","integrate(x*sech(b*x+a)**(3/2)*sinh(b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
540,0,0,0,0.000000," ","integrate(x*sech(b*x+a)**(1/2)*sinh(b*x+a),x)","\int x \sinh{\left(a + b x \right)} \sqrt{\operatorname{sech}{\left(a + b x \right)}}\, dx"," ",0,"Integral(x*sinh(a + b*x)*sqrt(sech(a + b*x)), x)","F",0
541,0,0,0,0.000000," ","integrate(x*sinh(b*x+a)/sech(b*x+a)**(1/2),x)","\int \frac{x \sinh{\left(a + b x \right)}}{\sqrt{\operatorname{sech}{\left(a + b x \right)}}}\, dx"," ",0,"Integral(x*sinh(a + b*x)/sqrt(sech(a + b*x)), x)","F",0
542,0,0,0,0.000000," ","integrate(x*sinh(b*x+a)/sech(b*x+a)**(3/2),x)","\int \frac{x \sinh{\left(a + b x \right)}}{\operatorname{sech}^{\frac{3}{2}}{\left(a + b x \right)}}\, dx"," ",0,"Integral(x*sinh(a + b*x)/sech(a + b*x)**(3/2), x)","F",0
543,0,0,0,0.000000," ","integrate(x*sinh(b*x+a)/sech(b*x+a)**(5/2),x)","\int \frac{x \sinh{\left(a + b x \right)}}{\operatorname{sech}^{\frac{5}{2}}{\left(a + b x \right)}}\, dx"," ",0,"Integral(x*sinh(a + b*x)/sech(a + b*x)**(5/2), x)","F",0
544,-1,0,0,0.000000," ","integrate(x*cosh(b*x+a)*sinh(b*x+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
545,0,0,0,0.000000," ","integrate(x*cosh(b*x+a)*sinh(b*x+a)**(3/2),x)","\int x \sinh^{\frac{3}{2}}{\left(a + b x \right)} \cosh{\left(a + b x \right)}\, dx"," ",0,"Integral(x*sinh(a + b*x)**(3/2)*cosh(a + b*x), x)","F",0
546,0,0,0,0.000000," ","integrate(x*cosh(b*x+a)*sinh(b*x+a)**(1/2),x)","\int x \sqrt{\sinh{\left(a + b x \right)}} \cosh{\left(a + b x \right)}\, dx"," ",0,"Integral(x*sqrt(sinh(a + b*x))*cosh(a + b*x), x)","F",0
547,0,0,0,0.000000," ","integrate(x*cosh(b*x+a)/sinh(b*x+a)**(1/2),x)","\int \frac{x \cosh{\left(a + b x \right)}}{\sqrt{\sinh{\left(a + b x \right)}}}\, dx"," ",0,"Integral(x*cosh(a + b*x)/sqrt(sinh(a + b*x)), x)","F",0
548,0,0,0,0.000000," ","integrate(x*cosh(b*x+a)/sinh(b*x+a)**(3/2),x)","\int \frac{x \cosh{\left(a + b x \right)}}{\sinh^{\frac{3}{2}}{\left(a + b x \right)}}\, dx"," ",0,"Integral(x*cosh(a + b*x)/sinh(a + b*x)**(3/2), x)","F",0
549,0,0,0,0.000000," ","integrate(x*cosh(b*x+a)/sinh(b*x+a)**(5/2),x)","\int \frac{x \cosh{\left(a + b x \right)}}{\sinh^{\frac{5}{2}}{\left(a + b x \right)}}\, dx"," ",0,"Integral(x*cosh(a + b*x)/sinh(a + b*x)**(5/2), x)","F",0
550,-1,0,0,0.000000," ","integrate(x*cosh(b*x+a)/sinh(b*x+a)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
551,-1,0,0,0.000000," ","integrate(x*cosh(b*x+a)/sinh(b*x+a)**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
552,-1,0,0,0.000000," ","integrate(x*cosh(b*x+a)*csch(b*x+a)**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
553,-1,0,0,0.000000," ","integrate(x*cosh(b*x+a)*csch(b*x+a)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
554,-1,0,0,0.000000," ","integrate(x*cosh(b*x+a)*csch(b*x+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
555,-1,0,0,0.000000," ","integrate(x*cosh(b*x+a)*csch(b*x+a)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
556,0,0,0,0.000000," ","integrate(x*cosh(b*x+a)*csch(b*x+a)**(1/2),x)","\int x \cosh{\left(a + b x \right)} \sqrt{\operatorname{csch}{\left(a + b x \right)}}\, dx"," ",0,"Integral(x*cosh(a + b*x)*sqrt(csch(a + b*x)), x)","F",0
557,0,0,0,0.000000," ","integrate(x*cosh(b*x+a)/csch(b*x+a)**(1/2),x)","\int \frac{x \cosh{\left(a + b x \right)}}{\sqrt{\operatorname{csch}{\left(a + b x \right)}}}\, dx"," ",0,"Integral(x*cosh(a + b*x)/sqrt(csch(a + b*x)), x)","F",0
558,0,0,0,0.000000," ","integrate(x*cosh(b*x+a)/csch(b*x+a)**(3/2),x)","\int \frac{x \cosh{\left(a + b x \right)}}{\operatorname{csch}^{\frac{3}{2}}{\left(a + b x \right)}}\, dx"," ",0,"Integral(x*cosh(a + b*x)/csch(a + b*x)**(3/2), x)","F",0
559,-1,0,0,0.000000," ","integrate(x*cosh(b*x+a)/csch(b*x+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
560,0,0,0,0.000000," ","integrate((sinh(x)*tanh(x))**(1/2),x)","\int \sqrt{\sinh{\left(x \right)} \tanh{\left(x \right)}}\, dx"," ",0,"Integral(sqrt(sinh(x)*tanh(x)), x)","F",0
561,0,0,0,0.000000," ","integrate((sinh(x)*tanh(x))**(3/2),x)","\int \left(\sinh{\left(x \right)} \tanh{\left(x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((sinh(x)*tanh(x))**(3/2), x)","F",0
562,-1,0,0,0.000000," ","integrate((sinh(x)*tanh(x))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
563,0,0,0,0.000000," ","integrate((cosh(x)*coth(x))**(1/2),x)","\int \sqrt{\cosh{\left(x \right)} \coth{\left(x \right)}}\, dx"," ",0,"Integral(sqrt(cosh(x)*coth(x)), x)","F",0
564,-1,0,0,0.000000," ","integrate((cosh(x)*coth(x))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
565,-1,0,0,0.000000," ","integrate((cosh(x)*coth(x))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
566,1,843,0,88.924390," ","integrate((b+c+cosh(x))/(a+b*sinh(x)),x)","\begin{cases} \tilde{\infty} \left(c \log{\left(\tanh{\left(\frac{x}{2} \right)} \right)} + x - 2 \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} + \log{\left(\tanh{\left(\frac{x}{2} \right)} \right)}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{b \log{\left(\tanh{\left(\frac{x}{2} \right)} \right)} + c \log{\left(\tanh{\left(\frac{x}{2} \right)} \right)} + x - 2 \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} + \log{\left(\tanh{\left(\frac{x}{2} \right)} \right)}}{b} & \text{for}\: a = 0 \\\frac{b x \tanh{\left(\frac{x}{2} \right)}}{b^{2} \tanh{\left(\frac{x}{2} \right)} - i b \sqrt{b^{2}}} + \frac{2 i b \sqrt{b^{2}}}{b^{2} \tanh{\left(\frac{x}{2} \right)} - i b \sqrt{b^{2}}} + \frac{2 b \log{\left(- \frac{i b}{\sqrt{b^{2}}} + \tanh{\left(\frac{x}{2} \right)} \right)} \tanh{\left(\frac{x}{2} \right)}}{b^{2} \tanh{\left(\frac{x}{2} \right)} - i b \sqrt{b^{2}}} - \frac{2 b \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh{\left(\frac{x}{2} \right)}}{b^{2} \tanh{\left(\frac{x}{2} \right)} - i b \sqrt{b^{2}}} + \frac{2 i c \sqrt{b^{2}}}{b^{2} \tanh{\left(\frac{x}{2} \right)} - i b \sqrt{b^{2}}} - \frac{i x \sqrt{b^{2}}}{b^{2} \tanh{\left(\frac{x}{2} \right)} - i b \sqrt{b^{2}}} - \frac{2 i \sqrt{b^{2}} \log{\left(- \frac{i b}{\sqrt{b^{2}}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{b^{2} \tanh{\left(\frac{x}{2} \right)} - i b \sqrt{b^{2}}} + \frac{2 i \sqrt{b^{2}} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{b^{2} \tanh{\left(\frac{x}{2} \right)} - i b \sqrt{b^{2}}} & \text{for}\: a = - \sqrt{- b^{2}} \\\frac{b x \tanh{\left(\frac{x}{2} \right)}}{b^{2} \tanh{\left(\frac{x}{2} \right)} + i b \sqrt{b^{2}}} - \frac{2 i b \sqrt{b^{2}}}{b^{2} \tanh{\left(\frac{x}{2} \right)} + i b \sqrt{b^{2}}} + \frac{2 b \log{\left(\frac{i b}{\sqrt{b^{2}}} + \tanh{\left(\frac{x}{2} \right)} \right)} \tanh{\left(\frac{x}{2} \right)}}{b^{2} \tanh{\left(\frac{x}{2} \right)} + i b \sqrt{b^{2}}} - \frac{2 b \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh{\left(\frac{x}{2} \right)}}{b^{2} \tanh{\left(\frac{x}{2} \right)} + i b \sqrt{b^{2}}} - \frac{2 i c \sqrt{b^{2}}}{b^{2} \tanh{\left(\frac{x}{2} \right)} + i b \sqrt{b^{2}}} + \frac{i x \sqrt{b^{2}}}{b^{2} \tanh{\left(\frac{x}{2} \right)} + i b \sqrt{b^{2}}} + \frac{2 i \sqrt{b^{2}} \log{\left(\frac{i b}{\sqrt{b^{2}}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{b^{2} \tanh{\left(\frac{x}{2} \right)} + i b \sqrt{b^{2}}} - \frac{2 i \sqrt{b^{2}} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{b^{2} \tanh{\left(\frac{x}{2} \right)} + i b \sqrt{b^{2}}} & \text{for}\: a = \sqrt{- b^{2}} \\\frac{c x + \sinh{\left(x \right)}}{a} & \text{for}\: b = 0 \\- \frac{b \log{\left(\tanh{\left(\frac{x}{2} \right)} - \frac{b}{a} - \frac{\sqrt{a^{2} + b^{2}}}{a} \right)}}{\sqrt{a^{2} + b^{2}}} + \frac{b \log{\left(\tanh{\left(\frac{x}{2} \right)} - \frac{b}{a} + \frac{\sqrt{a^{2} + b^{2}}}{a} \right)}}{\sqrt{a^{2} + b^{2}}} - \frac{c \log{\left(\tanh{\left(\frac{x}{2} \right)} - \frac{b}{a} - \frac{\sqrt{a^{2} + b^{2}}}{a} \right)}}{\sqrt{a^{2} + b^{2}}} + \frac{c \log{\left(\tanh{\left(\frac{x}{2} \right)} - \frac{b}{a} + \frac{\sqrt{a^{2} + b^{2}}}{a} \right)}}{\sqrt{a^{2} + b^{2}}} + \frac{x}{b} - \frac{2 \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{b} + \frac{\log{\left(\tanh{\left(\frac{x}{2} \right)} - \frac{b}{a} - \frac{\sqrt{a^{2} + b^{2}}}{a} \right)}}{b} + \frac{\log{\left(\tanh{\left(\frac{x}{2} \right)} - \frac{b}{a} + \frac{\sqrt{a^{2} + b^{2}}}{a} \right)}}{b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(c*log(tanh(x/2)) + x - 2*log(tanh(x/2) + 1) + log(tanh(x/2))), Eq(a, 0) & Eq(b, 0)), ((b*log(tanh(x/2)) + c*log(tanh(x/2)) + x - 2*log(tanh(x/2) + 1) + log(tanh(x/2)))/b, Eq(a, 0)), (b*x*tanh(x/2)/(b**2*tanh(x/2) - I*b*sqrt(b**2)) + 2*I*b*sqrt(b**2)/(b**2*tanh(x/2) - I*b*sqrt(b**2)) + 2*b*log(-I*b/sqrt(b**2) + tanh(x/2))*tanh(x/2)/(b**2*tanh(x/2) - I*b*sqrt(b**2)) - 2*b*log(tanh(x/2) + 1)*tanh(x/2)/(b**2*tanh(x/2) - I*b*sqrt(b**2)) + 2*I*c*sqrt(b**2)/(b**2*tanh(x/2) - I*b*sqrt(b**2)) - I*x*sqrt(b**2)/(b**2*tanh(x/2) - I*b*sqrt(b**2)) - 2*I*sqrt(b**2)*log(-I*b/sqrt(b**2) + tanh(x/2))/(b**2*tanh(x/2) - I*b*sqrt(b**2)) + 2*I*sqrt(b**2)*log(tanh(x/2) + 1)/(b**2*tanh(x/2) - I*b*sqrt(b**2)), Eq(a, -sqrt(-b**2))), (b*x*tanh(x/2)/(b**2*tanh(x/2) + I*b*sqrt(b**2)) - 2*I*b*sqrt(b**2)/(b**2*tanh(x/2) + I*b*sqrt(b**2)) + 2*b*log(I*b/sqrt(b**2) + tanh(x/2))*tanh(x/2)/(b**2*tanh(x/2) + I*b*sqrt(b**2)) - 2*b*log(tanh(x/2) + 1)*tanh(x/2)/(b**2*tanh(x/2) + I*b*sqrt(b**2)) - 2*I*c*sqrt(b**2)/(b**2*tanh(x/2) + I*b*sqrt(b**2)) + I*x*sqrt(b**2)/(b**2*tanh(x/2) + I*b*sqrt(b**2)) + 2*I*sqrt(b**2)*log(I*b/sqrt(b**2) + tanh(x/2))/(b**2*tanh(x/2) + I*b*sqrt(b**2)) - 2*I*sqrt(b**2)*log(tanh(x/2) + 1)/(b**2*tanh(x/2) + I*b*sqrt(b**2)), Eq(a, sqrt(-b**2))), ((c*x + sinh(x))/a, Eq(b, 0)), (-b*log(tanh(x/2) - b/a - sqrt(a**2 + b**2)/a)/sqrt(a**2 + b**2) + b*log(tanh(x/2) - b/a + sqrt(a**2 + b**2)/a)/sqrt(a**2 + b**2) - c*log(tanh(x/2) - b/a - sqrt(a**2 + b**2)/a)/sqrt(a**2 + b**2) + c*log(tanh(x/2) - b/a + sqrt(a**2 + b**2)/a)/sqrt(a**2 + b**2) + x/b - 2*log(tanh(x/2) + 1)/b + log(tanh(x/2) - b/a - sqrt(a**2 + b**2)/a)/b + log(tanh(x/2) - b/a + sqrt(a**2 + b**2)/a)/b, True))","A",0
567,1,845,0,89.168268," ","integrate((b+c+cosh(x))/(a-b*sinh(x)),x)","\begin{cases} \tilde{\infty} \left(c \log{\left(\tanh{\left(\frac{x}{2} \right)} \right)} + x - 2 \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} + \log{\left(\tanh{\left(\frac{x}{2} \right)} \right)}\right) & \text{for}\: a = 0 \wedge b = 0 \\- \frac{b \log{\left(\tanh{\left(\frac{x}{2} \right)} \right)} + c \log{\left(\tanh{\left(\frac{x}{2} \right)} \right)} + x - 2 \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} + \log{\left(\tanh{\left(\frac{x}{2} \right)} \right)}}{b} & \text{for}\: a = 0 \\- \frac{b x \tanh{\left(\frac{x}{2} \right)}}{b^{2} \tanh{\left(\frac{x}{2} \right)} + i b \sqrt{b^{2}}} + \frac{2 i b \sqrt{b^{2}}}{b^{2} \tanh{\left(\frac{x}{2} \right)} + i b \sqrt{b^{2}}} - \frac{2 b \log{\left(\frac{i b}{\sqrt{b^{2}}} + \tanh{\left(\frac{x}{2} \right)} \right)} \tanh{\left(\frac{x}{2} \right)}}{b^{2} \tanh{\left(\frac{x}{2} \right)} + i b \sqrt{b^{2}}} + \frac{2 b \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh{\left(\frac{x}{2} \right)}}{b^{2} \tanh{\left(\frac{x}{2} \right)} + i b \sqrt{b^{2}}} + \frac{2 i c \sqrt{b^{2}}}{b^{2} \tanh{\left(\frac{x}{2} \right)} + i b \sqrt{b^{2}}} - \frac{i x \sqrt{b^{2}}}{b^{2} \tanh{\left(\frac{x}{2} \right)} + i b \sqrt{b^{2}}} - \frac{2 i \sqrt{b^{2}} \log{\left(\frac{i b}{\sqrt{b^{2}}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{b^{2} \tanh{\left(\frac{x}{2} \right)} + i b \sqrt{b^{2}}} + \frac{2 i \sqrt{b^{2}} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{b^{2} \tanh{\left(\frac{x}{2} \right)} + i b \sqrt{b^{2}}} & \text{for}\: a = - \sqrt{- b^{2}} \\- \frac{b x \tanh{\left(\frac{x}{2} \right)}}{b^{2} \tanh{\left(\frac{x}{2} \right)} - i b \sqrt{b^{2}}} - \frac{2 i b \sqrt{b^{2}}}{b^{2} \tanh{\left(\frac{x}{2} \right)} - i b \sqrt{b^{2}}} - \frac{2 b \log{\left(- \frac{i b}{\sqrt{b^{2}}} + \tanh{\left(\frac{x}{2} \right)} \right)} \tanh{\left(\frac{x}{2} \right)}}{b^{2} \tanh{\left(\frac{x}{2} \right)} - i b \sqrt{b^{2}}} + \frac{2 b \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh{\left(\frac{x}{2} \right)}}{b^{2} \tanh{\left(\frac{x}{2} \right)} - i b \sqrt{b^{2}}} - \frac{2 i c \sqrt{b^{2}}}{b^{2} \tanh{\left(\frac{x}{2} \right)} - i b \sqrt{b^{2}}} + \frac{i x \sqrt{b^{2}}}{b^{2} \tanh{\left(\frac{x}{2} \right)} - i b \sqrt{b^{2}}} + \frac{2 i \sqrt{b^{2}} \log{\left(- \frac{i b}{\sqrt{b^{2}}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{b^{2} \tanh{\left(\frac{x}{2} \right)} - i b \sqrt{b^{2}}} - \frac{2 i \sqrt{b^{2}} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{b^{2} \tanh{\left(\frac{x}{2} \right)} - i b \sqrt{b^{2}}} & \text{for}\: a = \sqrt{- b^{2}} \\\frac{c x + \sinh{\left(x \right)}}{a} & \text{for}\: b = 0 \\- \frac{b \log{\left(\tanh{\left(\frac{x}{2} \right)} + \frac{b}{a} - \frac{\sqrt{a^{2} + b^{2}}}{a} \right)}}{\sqrt{a^{2} + b^{2}}} + \frac{b \log{\left(\tanh{\left(\frac{x}{2} \right)} + \frac{b}{a} + \frac{\sqrt{a^{2} + b^{2}}}{a} \right)}}{\sqrt{a^{2} + b^{2}}} - \frac{c \log{\left(\tanh{\left(\frac{x}{2} \right)} + \frac{b}{a} - \frac{\sqrt{a^{2} + b^{2}}}{a} \right)}}{\sqrt{a^{2} + b^{2}}} + \frac{c \log{\left(\tanh{\left(\frac{x}{2} \right)} + \frac{b}{a} + \frac{\sqrt{a^{2} + b^{2}}}{a} \right)}}{\sqrt{a^{2} + b^{2}}} - \frac{x}{b} + \frac{2 \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{b} - \frac{\log{\left(\tanh{\left(\frac{x}{2} \right)} + \frac{b}{a} - \frac{\sqrt{a^{2} + b^{2}}}{a} \right)}}{b} - \frac{\log{\left(\tanh{\left(\frac{x}{2} \right)} + \frac{b}{a} + \frac{\sqrt{a^{2} + b^{2}}}{a} \right)}}{b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(c*log(tanh(x/2)) + x - 2*log(tanh(x/2) + 1) + log(tanh(x/2))), Eq(a, 0) & Eq(b, 0)), (-(b*log(tanh(x/2)) + c*log(tanh(x/2)) + x - 2*log(tanh(x/2) + 1) + log(tanh(x/2)))/b, Eq(a, 0)), (-b*x*tanh(x/2)/(b**2*tanh(x/2) + I*b*sqrt(b**2)) + 2*I*b*sqrt(b**2)/(b**2*tanh(x/2) + I*b*sqrt(b**2)) - 2*b*log(I*b/sqrt(b**2) + tanh(x/2))*tanh(x/2)/(b**2*tanh(x/2) + I*b*sqrt(b**2)) + 2*b*log(tanh(x/2) + 1)*tanh(x/2)/(b**2*tanh(x/2) + I*b*sqrt(b**2)) + 2*I*c*sqrt(b**2)/(b**2*tanh(x/2) + I*b*sqrt(b**2)) - I*x*sqrt(b**2)/(b**2*tanh(x/2) + I*b*sqrt(b**2)) - 2*I*sqrt(b**2)*log(I*b/sqrt(b**2) + tanh(x/2))/(b**2*tanh(x/2) + I*b*sqrt(b**2)) + 2*I*sqrt(b**2)*log(tanh(x/2) + 1)/(b**2*tanh(x/2) + I*b*sqrt(b**2)), Eq(a, -sqrt(-b**2))), (-b*x*tanh(x/2)/(b**2*tanh(x/2) - I*b*sqrt(b**2)) - 2*I*b*sqrt(b**2)/(b**2*tanh(x/2) - I*b*sqrt(b**2)) - 2*b*log(-I*b/sqrt(b**2) + tanh(x/2))*tanh(x/2)/(b**2*tanh(x/2) - I*b*sqrt(b**2)) + 2*b*log(tanh(x/2) + 1)*tanh(x/2)/(b**2*tanh(x/2) - I*b*sqrt(b**2)) - 2*I*c*sqrt(b**2)/(b**2*tanh(x/2) - I*b*sqrt(b**2)) + I*x*sqrt(b**2)/(b**2*tanh(x/2) - I*b*sqrt(b**2)) + 2*I*sqrt(b**2)*log(-I*b/sqrt(b**2) + tanh(x/2))/(b**2*tanh(x/2) - I*b*sqrt(b**2)) - 2*I*sqrt(b**2)*log(tanh(x/2) + 1)/(b**2*tanh(x/2) - I*b*sqrt(b**2)), Eq(a, sqrt(-b**2))), ((c*x + sinh(x))/a, Eq(b, 0)), (-b*log(tanh(x/2) + b/a - sqrt(a**2 + b**2)/a)/sqrt(a**2 + b**2) + b*log(tanh(x/2) + b/a + sqrt(a**2 + b**2)/a)/sqrt(a**2 + b**2) - c*log(tanh(x/2) + b/a - sqrt(a**2 + b**2)/a)/sqrt(a**2 + b**2) + c*log(tanh(x/2) + b/a + sqrt(a**2 + b**2)/a)/sqrt(a**2 + b**2) - x/b + 2*log(tanh(x/2) + 1)/b - log(tanh(x/2) + b/a - sqrt(a**2 + b**2)/a)/b - log(tanh(x/2) + b/a + sqrt(a**2 + b**2)/a)/b, True))","A",0
568,1,840,0,30.817846," ","integrate((b+c+sinh(x))/(a+b*cosh(x)),x)","\begin{cases} \tilde{\infty} \left(2 c \operatorname{atan}{\left(\tanh{\left(\frac{x}{2} \right)} \right)} + x - 2 \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} + \log{\left(\tanh^{2}{\left(\frac{x}{2} \right)} + 1 \right)}\right) & \text{for}\: a = 0 \wedge b = 0 \\- \frac{1}{\tanh{\left(\frac{x}{2} \right)}} - \frac{c}{b \tanh{\left(\frac{x}{2} \right)}} + \frac{x}{b} - \frac{2 \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{b} + \frac{2 \log{\left(\tanh{\left(\frac{x}{2} \right)} \right)}}{b} & \text{for}\: a = - b \\\frac{c x + \cosh{\left(x \right)}}{a} & \text{for}\: b = 0 \\\tanh{\left(\frac{x}{2} \right)} + \frac{c \tanh{\left(\frac{x}{2} \right)}}{b} + \frac{x}{b} - \frac{2 \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{b} & \text{for}\: a = b \\\frac{a x \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}}{a b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} + \frac{a \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \log{\left(- \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{a b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} + \frac{a \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \log{\left(\sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{a b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} - \frac{2 a \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{a b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} - \frac{b^{2} \log{\left(- \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{a b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} + \frac{b^{2} \log{\left(\sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{a b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} - \frac{b c \log{\left(- \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{a b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} + \frac{b c \log{\left(\sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{a b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} - \frac{b x \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}}{a b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} - \frac{b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \log{\left(- \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{a b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} - \frac{b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \log{\left(\sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{a b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} + \frac{2 b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{a b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(2*c*atan(tanh(x/2)) + x - 2*log(tanh(x/2) + 1) + log(tanh(x/2)**2 + 1)), Eq(a, 0) & Eq(b, 0)), (-1/tanh(x/2) - c/(b*tanh(x/2)) + x/b - 2*log(tanh(x/2) + 1)/b + 2*log(tanh(x/2))/b, Eq(a, -b)), ((c*x + cosh(x))/a, Eq(b, 0)), (tanh(x/2) + c*tanh(x/2)/b + x/b - 2*log(tanh(x/2) + 1)/b, Eq(a, b)), (a*x*sqrt(a/(a - b) + b/(a - b))/(a*b*sqrt(a/(a - b) + b/(a - b)) - b**2*sqrt(a/(a - b) + b/(a - b))) + a*sqrt(a/(a - b) + b/(a - b))*log(-sqrt(a/(a - b) + b/(a - b)) + tanh(x/2))/(a*b*sqrt(a/(a - b) + b/(a - b)) - b**2*sqrt(a/(a - b) + b/(a - b))) + a*sqrt(a/(a - b) + b/(a - b))*log(sqrt(a/(a - b) + b/(a - b)) + tanh(x/2))/(a*b*sqrt(a/(a - b) + b/(a - b)) - b**2*sqrt(a/(a - b) + b/(a - b))) - 2*a*sqrt(a/(a - b) + b/(a - b))*log(tanh(x/2) + 1)/(a*b*sqrt(a/(a - b) + b/(a - b)) - b**2*sqrt(a/(a - b) + b/(a - b))) - b**2*log(-sqrt(a/(a - b) + b/(a - b)) + tanh(x/2))/(a*b*sqrt(a/(a - b) + b/(a - b)) - b**2*sqrt(a/(a - b) + b/(a - b))) + b**2*log(sqrt(a/(a - b) + b/(a - b)) + tanh(x/2))/(a*b*sqrt(a/(a - b) + b/(a - b)) - b**2*sqrt(a/(a - b) + b/(a - b))) - b*c*log(-sqrt(a/(a - b) + b/(a - b)) + tanh(x/2))/(a*b*sqrt(a/(a - b) + b/(a - b)) - b**2*sqrt(a/(a - b) + b/(a - b))) + b*c*log(sqrt(a/(a - b) + b/(a - b)) + tanh(x/2))/(a*b*sqrt(a/(a - b) + b/(a - b)) - b**2*sqrt(a/(a - b) + b/(a - b))) - b*x*sqrt(a/(a - b) + b/(a - b))/(a*b*sqrt(a/(a - b) + b/(a - b)) - b**2*sqrt(a/(a - b) + b/(a - b))) - b*sqrt(a/(a - b) + b/(a - b))*log(-sqrt(a/(a - b) + b/(a - b)) + tanh(x/2))/(a*b*sqrt(a/(a - b) + b/(a - b)) - b**2*sqrt(a/(a - b) + b/(a - b))) - b*sqrt(a/(a - b) + b/(a - b))*log(sqrt(a/(a - b) + b/(a - b)) + tanh(x/2))/(a*b*sqrt(a/(a - b) + b/(a - b)) - b**2*sqrt(a/(a - b) + b/(a - b))) + 2*b*sqrt(a/(a - b) + b/(a - b))*log(tanh(x/2) + 1)/(a*b*sqrt(a/(a - b) + b/(a - b)) - b**2*sqrt(a/(a - b) + b/(a - b))), True))","A",0
569,1,840,0,29.672845," ","integrate((b+c+sinh(x))/(a-b*cosh(x)),x)","\begin{cases} \tilde{\infty} \left(2 c \operatorname{atan}{\left(\tanh{\left(\frac{x}{2} \right)} \right)} + x - 2 \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} + \log{\left(\tanh^{2}{\left(\frac{x}{2} \right)} + 1 \right)}\right) & \text{for}\: a = 0 \wedge b = 0 \\- \tanh{\left(\frac{x}{2} \right)} - \frac{c \tanh{\left(\frac{x}{2} \right)}}{b} - \frac{x}{b} + \frac{2 \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{b} & \text{for}\: a = - b \\\frac{1}{\tanh{\left(\frac{x}{2} \right)}} + \frac{c}{b \tanh{\left(\frac{x}{2} \right)}} - \frac{x}{b} + \frac{2 \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{b} - \frac{2 \log{\left(\tanh{\left(\frac{x}{2} \right)} \right)}}{b} & \text{for}\: a = b \\\frac{c x + \cosh{\left(x \right)}}{a} & \text{for}\: b = 0 \\- \frac{a x \sqrt{\frac{a}{a + b} - \frac{b}{a + b}}}{a b \sqrt{\frac{a}{a + b} - \frac{b}{a + b}} + b^{2} \sqrt{\frac{a}{a + b} - \frac{b}{a + b}}} - \frac{a \sqrt{\frac{a}{a + b} - \frac{b}{a + b}} \log{\left(- \sqrt{\frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{a b \sqrt{\frac{a}{a + b} - \frac{b}{a + b}} + b^{2} \sqrt{\frac{a}{a + b} - \frac{b}{a + b}}} - \frac{a \sqrt{\frac{a}{a + b} - \frac{b}{a + b}} \log{\left(\sqrt{\frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{a b \sqrt{\frac{a}{a + b} - \frac{b}{a + b}} + b^{2} \sqrt{\frac{a}{a + b} - \frac{b}{a + b}}} + \frac{2 a \sqrt{\frac{a}{a + b} - \frac{b}{a + b}} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{a b \sqrt{\frac{a}{a + b} - \frac{b}{a + b}} + b^{2} \sqrt{\frac{a}{a + b} - \frac{b}{a + b}}} - \frac{b^{2} \log{\left(- \sqrt{\frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{a b \sqrt{\frac{a}{a + b} - \frac{b}{a + b}} + b^{2} \sqrt{\frac{a}{a + b} - \frac{b}{a + b}}} + \frac{b^{2} \log{\left(\sqrt{\frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{a b \sqrt{\frac{a}{a + b} - \frac{b}{a + b}} + b^{2} \sqrt{\frac{a}{a + b} - \frac{b}{a + b}}} - \frac{b c \log{\left(- \sqrt{\frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{a b \sqrt{\frac{a}{a + b} - \frac{b}{a + b}} + b^{2} \sqrt{\frac{a}{a + b} - \frac{b}{a + b}}} + \frac{b c \log{\left(\sqrt{\frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{a b \sqrt{\frac{a}{a + b} - \frac{b}{a + b}} + b^{2} \sqrt{\frac{a}{a + b} - \frac{b}{a + b}}} - \frac{b x \sqrt{\frac{a}{a + b} - \frac{b}{a + b}}}{a b \sqrt{\frac{a}{a + b} - \frac{b}{a + b}} + b^{2} \sqrt{\frac{a}{a + b} - \frac{b}{a + b}}} - \frac{b \sqrt{\frac{a}{a + b} - \frac{b}{a + b}} \log{\left(- \sqrt{\frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{a b \sqrt{\frac{a}{a + b} - \frac{b}{a + b}} + b^{2} \sqrt{\frac{a}{a + b} - \frac{b}{a + b}}} - \frac{b \sqrt{\frac{a}{a + b} - \frac{b}{a + b}} \log{\left(\sqrt{\frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{a b \sqrt{\frac{a}{a + b} - \frac{b}{a + b}} + b^{2} \sqrt{\frac{a}{a + b} - \frac{b}{a + b}}} + \frac{2 b \sqrt{\frac{a}{a + b} - \frac{b}{a + b}} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{a b \sqrt{\frac{a}{a + b} - \frac{b}{a + b}} + b^{2} \sqrt{\frac{a}{a + b} - \frac{b}{a + b}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(2*c*atan(tanh(x/2)) + x - 2*log(tanh(x/2) + 1) + log(tanh(x/2)**2 + 1)), Eq(a, 0) & Eq(b, 0)), (-tanh(x/2) - c*tanh(x/2)/b - x/b + 2*log(tanh(x/2) + 1)/b, Eq(a, -b)), (1/tanh(x/2) + c/(b*tanh(x/2)) - x/b + 2*log(tanh(x/2) + 1)/b - 2*log(tanh(x/2))/b, Eq(a, b)), ((c*x + cosh(x))/a, Eq(b, 0)), (-a*x*sqrt(a/(a + b) - b/(a + b))/(a*b*sqrt(a/(a + b) - b/(a + b)) + b**2*sqrt(a/(a + b) - b/(a + b))) - a*sqrt(a/(a + b) - b/(a + b))*log(-sqrt(a/(a + b) - b/(a + b)) + tanh(x/2))/(a*b*sqrt(a/(a + b) - b/(a + b)) + b**2*sqrt(a/(a + b) - b/(a + b))) - a*sqrt(a/(a + b) - b/(a + b))*log(sqrt(a/(a + b) - b/(a + b)) + tanh(x/2))/(a*b*sqrt(a/(a + b) - b/(a + b)) + b**2*sqrt(a/(a + b) - b/(a + b))) + 2*a*sqrt(a/(a + b) - b/(a + b))*log(tanh(x/2) + 1)/(a*b*sqrt(a/(a + b) - b/(a + b)) + b**2*sqrt(a/(a + b) - b/(a + b))) - b**2*log(-sqrt(a/(a + b) - b/(a + b)) + tanh(x/2))/(a*b*sqrt(a/(a + b) - b/(a + b)) + b**2*sqrt(a/(a + b) - b/(a + b))) + b**2*log(sqrt(a/(a + b) - b/(a + b)) + tanh(x/2))/(a*b*sqrt(a/(a + b) - b/(a + b)) + b**2*sqrt(a/(a + b) - b/(a + b))) - b*c*log(-sqrt(a/(a + b) - b/(a + b)) + tanh(x/2))/(a*b*sqrt(a/(a + b) - b/(a + b)) + b**2*sqrt(a/(a + b) - b/(a + b))) + b*c*log(sqrt(a/(a + b) - b/(a + b)) + tanh(x/2))/(a*b*sqrt(a/(a + b) - b/(a + b)) + b**2*sqrt(a/(a + b) - b/(a + b))) - b*x*sqrt(a/(a + b) - b/(a + b))/(a*b*sqrt(a/(a + b) - b/(a + b)) + b**2*sqrt(a/(a + b) - b/(a + b))) - b*sqrt(a/(a + b) - b/(a + b))*log(-sqrt(a/(a + b) - b/(a + b)) + tanh(x/2))/(a*b*sqrt(a/(a + b) - b/(a + b)) + b**2*sqrt(a/(a + b) - b/(a + b))) - b*sqrt(a/(a + b) - b/(a + b))*log(sqrt(a/(a + b) - b/(a + b)) + tanh(x/2))/(a*b*sqrt(a/(a + b) - b/(a + b)) + b**2*sqrt(a/(a + b) - b/(a + b))) + 2*b*sqrt(a/(a + b) - b/(a + b))*log(tanh(x/2) + 1)/(a*b*sqrt(a/(a + b) - b/(a + b)) + b**2*sqrt(a/(a + b) - b/(a + b))), True))","A",0
570,-1,0,0,0.000000," ","integrate(x*(b-a*sinh(x))/(a+b*sinh(x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
571,-1,0,0,0.000000," ","integrate(x*(b+a*cosh(x))/(a+b*cosh(x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
572,0,0,0,0.000000," ","integrate((a+b*sech(x))/(c+d*cosh(x)),x)","\int \frac{a + b \operatorname{sech}{\left(x \right)}}{c + d \cosh{\left(x \right)}}\, dx"," ",0,"Integral((a + b*sech(x))/(c + d*cosh(x)), x)","F",0
573,0,0,0,0.000000," ","integrate((a+b*csch(x))/(c+d*sinh(x)),x)","\int \frac{a + b \operatorname{csch}{\left(x \right)}}{c + d \sinh{\left(x \right)}}\, dx"," ",0,"Integral((a + b*csch(x))/(c + d*sinh(x)), x)","F",0
574,1,238,0,6.541362," ","integrate((1+sinh(x)**2)/(1-sinh(x)**2),x)","- \frac{1331714 x}{941664 \sqrt{2} + 1331714} - \frac{941664 \sqrt{2} x}{941664 \sqrt{2} + 1331714} + \frac{941664 \log{\left(\tanh{\left(\frac{x}{2} \right)} - 1 + \sqrt{2} \right)}}{941664 \sqrt{2} + 1331714} + \frac{665857 \sqrt{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} - 1 + \sqrt{2} \right)}}{941664 \sqrt{2} + 1331714} + \frac{941664 \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 + \sqrt{2} \right)}}{941664 \sqrt{2} + 1331714} + \frac{665857 \sqrt{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 + \sqrt{2} \right)}}{941664 \sqrt{2} + 1331714} - \frac{665857 \sqrt{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} - \sqrt{2} - 1 \right)}}{941664 \sqrt{2} + 1331714} - \frac{941664 \log{\left(\tanh{\left(\frac{x}{2} \right)} - \sqrt{2} - 1 \right)}}{941664 \sqrt{2} + 1331714} - \frac{665857 \sqrt{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} - \sqrt{2} + 1 \right)}}{941664 \sqrt{2} + 1331714} - \frac{941664 \log{\left(\tanh{\left(\frac{x}{2} \right)} - \sqrt{2} + 1 \right)}}{941664 \sqrt{2} + 1331714}"," ",0,"-1331714*x/(941664*sqrt(2) + 1331714) - 941664*sqrt(2)*x/(941664*sqrt(2) + 1331714) + 941664*log(tanh(x/2) - 1 + sqrt(2))/(941664*sqrt(2) + 1331714) + 665857*sqrt(2)*log(tanh(x/2) - 1 + sqrt(2))/(941664*sqrt(2) + 1331714) + 941664*log(tanh(x/2) + 1 + sqrt(2))/(941664*sqrt(2) + 1331714) + 665857*sqrt(2)*log(tanh(x/2) + 1 + sqrt(2))/(941664*sqrt(2) + 1331714) - 665857*sqrt(2)*log(tanh(x/2) - sqrt(2) - 1)/(941664*sqrt(2) + 1331714) - 941664*log(tanh(x/2) - sqrt(2) - 1)/(941664*sqrt(2) + 1331714) - 665857*sqrt(2)*log(tanh(x/2) - sqrt(2) + 1)/(941664*sqrt(2) + 1331714) - 941664*log(tanh(x/2) - sqrt(2) + 1)/(941664*sqrt(2) + 1331714)","B",0
575,1,41,0,1.032101," ","integrate((1-sinh(x)**2)/(1+sinh(x)**2),x)","- \frac{x \tanh^{2}{\left(\frac{x}{2} \right)}}{\tanh^{2}{\left(\frac{x}{2} \right)} + 1} - \frac{x}{\tanh^{2}{\left(\frac{x}{2} \right)} + 1} + \frac{4 \tanh{\left(\frac{x}{2} \right)}}{\tanh^{2}{\left(\frac{x}{2} \right)} + 1}"," ",0,"-x*tanh(x/2)**2/(tanh(x/2)**2 + 1) - x/(tanh(x/2)**2 + 1) + 4*tanh(x/2)/(tanh(x/2)**2 + 1)","B",0
576,1,12,0,0.905719," ","integrate((1+cosh(x)**2)/(1-cosh(x)**2),x)","- x + \tanh{\left(\frac{x}{2} \right)} + \frac{1}{\tanh{\left(\frac{x}{2} \right)}}"," ",0,"-x + tanh(x/2) + 1/tanh(x/2)","B",0
577,1,61,0,3.022210," ","integrate((1-cosh(x)**2)/(1+cosh(x)**2),x)","- x - \frac{\sqrt{2} \log{\left(4 \tanh^{2}{\left(\frac{x}{2} \right)} - 4 \sqrt{2} \tanh{\left(\frac{x}{2} \right)} + 4 \right)}}{2} + \frac{\sqrt{2} \log{\left(4 \tanh^{2}{\left(\frac{x}{2} \right)} + 4 \sqrt{2} \tanh{\left(\frac{x}{2} \right)} + 4 \right)}}{2}"," ",0,"-x - sqrt(2)*log(4*tanh(x/2)**2 - 4*sqrt(2)*tanh(x/2) + 4)/2 + sqrt(2)*log(4*tanh(x/2)**2 + 4*sqrt(2)*tanh(x/2) + 4)/2","B",0
578,0,0,0,0.000000," ","integrate((a+b*sech(x)**2)/(c+d*cosh(x)),x)","\int \frac{a + b \operatorname{sech}^{2}{\left(x \right)}}{c + d \cosh{\left(x \right)}}\, dx"," ",0,"Integral((a + b*sech(x)**2)/(c + d*cosh(x)), x)","F",0
579,0,0,0,0.000000," ","integrate((a+b*csch(x)**2)/(c+d*sinh(x)),x)","\int \frac{a + b \operatorname{csch}^{2}{\left(x \right)}}{c + d \sinh{\left(x \right)}}\, dx"," ",0,"Integral((a + b*csch(x)**2)/(c + d*sinh(x)), x)","F",0
580,1,8,0,0.112737," ","integrate(a*cosh(x)+b*sinh(x),x)","a \sinh{\left(x \right)} + b \cosh{\left(x \right)}"," ",0,"a*sinh(x) + b*cosh(x)","A",0
581,1,78,0,0.194240," ","integrate((a*cosh(x)+b*sinh(x))**2,x)","- \frac{a^{2} x \sinh^{2}{\left(x \right)}}{2} + \frac{a^{2} x \cosh^{2}{\left(x \right)}}{2} + \frac{a^{2} \sinh{\left(x \right)} \cosh{\left(x \right)}}{2} + a b \cosh^{2}{\left(x \right)} + \frac{b^{2} x \sinh^{2}{\left(x \right)}}{2} - \frac{b^{2} x \cosh^{2}{\left(x \right)}}{2} + \frac{b^{2} \sinh{\left(x \right)} \cosh{\left(x \right)}}{2}"," ",0,"-a**2*x*sinh(x)**2/2 + a**2*x*cosh(x)**2/2 + a**2*sinh(x)*cosh(x)/2 + a*b*cosh(x)**2 + b**2*x*sinh(x)**2/2 - b**2*x*cosh(x)**2/2 + b**2*sinh(x)*cosh(x)/2","B",0
582,1,66,0,0.326513," ","integrate((a*cosh(x)+b*sinh(x))**3,x)","- \frac{2 a^{3} \sinh^{3}{\left(x \right)}}{3} + a^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)} + a^{2} b \cosh^{3}{\left(x \right)} + a b^{2} \sinh^{3}{\left(x \right)} + b^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)} - \frac{2 b^{3} \cosh^{3}{\left(x \right)}}{3}"," ",0,"-2*a**3*sinh(x)**3/3 + a**3*sinh(x)*cosh(x)**2 + a**2*b*cosh(x)**3 + a*b**2*sinh(x)**3 + b**3*sinh(x)**2*cosh(x) - 2*b**3*cosh(x)**3/3","B",0
583,1,265,0,0.694932," ","integrate((a*cosh(x)+b*sinh(x))**4,x)","\frac{3 a^{4} x \sinh^{4}{\left(x \right)}}{8} - \frac{3 a^{4} x \sinh^{2}{\left(x \right)} \cosh^{2}{\left(x \right)}}{4} + \frac{3 a^{4} x \cosh^{4}{\left(x \right)}}{8} - \frac{3 a^{4} \sinh^{3}{\left(x \right)} \cosh{\left(x \right)}}{8} + \frac{5 a^{4} \sinh{\left(x \right)} \cosh^{3}{\left(x \right)}}{8} + a^{3} b \cosh^{4}{\left(x \right)} - \frac{3 a^{2} b^{2} x \sinh^{4}{\left(x \right)}}{4} + \frac{3 a^{2} b^{2} x \sinh^{2}{\left(x \right)} \cosh^{2}{\left(x \right)}}{2} - \frac{3 a^{2} b^{2} x \cosh^{4}{\left(x \right)}}{4} + \frac{3 a^{2} b^{2} \sinh^{3}{\left(x \right)} \cosh{\left(x \right)}}{4} + \frac{3 a^{2} b^{2} \sinh{\left(x \right)} \cosh^{3}{\left(x \right)}}{4} + a b^{3} \sinh^{4}{\left(x \right)} + \frac{3 b^{4} x \sinh^{4}{\left(x \right)}}{8} - \frac{3 b^{4} x \sinh^{2}{\left(x \right)} \cosh^{2}{\left(x \right)}}{4} + \frac{3 b^{4} x \cosh^{4}{\left(x \right)}}{8} + \frac{5 b^{4} \sinh^{3}{\left(x \right)} \cosh{\left(x \right)}}{8} - \frac{3 b^{4} \sinh{\left(x \right)} \cosh^{3}{\left(x \right)}}{8}"," ",0,"3*a**4*x*sinh(x)**4/8 - 3*a**4*x*sinh(x)**2*cosh(x)**2/4 + 3*a**4*x*cosh(x)**4/8 - 3*a**4*sinh(x)**3*cosh(x)/8 + 5*a**4*sinh(x)*cosh(x)**3/8 + a**3*b*cosh(x)**4 - 3*a**2*b**2*x*sinh(x)**4/4 + 3*a**2*b**2*x*sinh(x)**2*cosh(x)**2/2 - 3*a**2*b**2*x*cosh(x)**4/4 + 3*a**2*b**2*sinh(x)**3*cosh(x)/4 + 3*a**2*b**2*sinh(x)*cosh(x)**3/4 + a*b**3*sinh(x)**4 + 3*b**4*x*sinh(x)**4/8 - 3*b**4*x*sinh(x)**2*cosh(x)**2/4 + 3*b**4*x*cosh(x)**4/8 + 5*b**4*sinh(x)**3*cosh(x)/8 - 3*b**4*sinh(x)*cosh(x)**3/8","B",0
584,1,172,0,1.177224," ","integrate((a*cosh(x)+b*sinh(x))**5,x)","\frac{8 a^{5} \sinh^{5}{\left(x \right)}}{15} - \frac{4 a^{5} \sinh^{3}{\left(x \right)} \cosh^{2}{\left(x \right)}}{3} + a^{5} \sinh{\left(x \right)} \cosh^{4}{\left(x \right)} + a^{4} b \cosh^{5}{\left(x \right)} - \frac{4 a^{3} b^{2} \sinh^{5}{\left(x \right)}}{3} + \frac{10 a^{3} b^{2} \sinh^{3}{\left(x \right)} \cosh^{2}{\left(x \right)}}{3} + \frac{10 a^{2} b^{3} \sinh^{2}{\left(x \right)} \cosh^{3}{\left(x \right)}}{3} - \frac{4 a^{2} b^{3} \cosh^{5}{\left(x \right)}}{3} + a b^{4} \sinh^{5}{\left(x \right)} + b^{5} \sinh^{4}{\left(x \right)} \cosh{\left(x \right)} - \frac{4 b^{5} \sinh^{2}{\left(x \right)} \cosh^{3}{\left(x \right)}}{3} + \frac{8 b^{5} \cosh^{5}{\left(x \right)}}{15}"," ",0,"8*a**5*sinh(x)**5/15 - 4*a**5*sinh(x)**3*cosh(x)**2/3 + a**5*sinh(x)*cosh(x)**4 + a**4*b*cosh(x)**5 - 4*a**3*b**2*sinh(x)**5/3 + 10*a**3*b**2*sinh(x)**3*cosh(x)**2/3 + 10*a**2*b**3*sinh(x)**2*cosh(x)**3/3 - 4*a**2*b**3*cosh(x)**5/3 + a*b**4*sinh(x)**5 + b**5*sinh(x)**4*cosh(x) - 4*b**5*sinh(x)**2*cosh(x)**3/3 + 8*b**5*cosh(x)**5/15","B",0
585,-2,0,0,0.000000," ","integrate(1/(a*cosh(x)+b*sinh(x)),x)","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError","F(-2)",0
586,-1,0,0,0.000000," ","integrate(1/(a*cosh(x)+b*sinh(x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
587,-1,0,0,0.000000," ","integrate(1/(a*cosh(x)+b*sinh(x))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
588,-1,0,0,0.000000," ","integrate(1/(a*cosh(x)+b*sinh(x))**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
589,-1,0,0,0.000000," ","integrate(1/(a*cosh(x)+b*sinh(x))**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
590,0,0,0,0.000000," ","integrate((a*cosh(x)+b*sinh(x))**(1/2),x)","\int \sqrt{a \cosh{\left(x \right)} + b \sinh{\left(x \right)}}\, dx"," ",0,"Integral(sqrt(a*cosh(x) + b*sinh(x)), x)","F",0
591,0,0,0,0.000000," ","integrate((a*cosh(x)+b*sinh(x))**(3/2),x)","\int \left(a \cosh{\left(x \right)} + b \sinh{\left(x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((a*cosh(x) + b*sinh(x))**(3/2), x)","F",0
592,-1,0,0,0.000000," ","integrate((a*cosh(x)+b*sinh(x))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
593,0,0,0,0.000000," ","integrate(1/(a*cosh(x)+b*sinh(x))**(1/2),x)","\int \frac{1}{\sqrt{a \cosh{\left(x \right)} + b \sinh{\left(x \right)}}}\, dx"," ",0,"Integral(1/sqrt(a*cosh(x) + b*sinh(x)), x)","F",0
594,0,0,0,0.000000," ","integrate(1/(a*cosh(x)+b*sinh(x))**(3/2),x)","\int \frac{1}{\left(a \cosh{\left(x \right)} + b \sinh{\left(x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a*cosh(x) + b*sinh(x))**(-3/2), x)","F",0
595,-1,0,0,0.000000," ","integrate(1/(a*cosh(x)+b*sinh(x))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
596,1,29,0,0.155760," ","integrate(a*cosh(d*x+c)+a*sinh(d*x+c),x)","a \left(\begin{cases} \frac{\sinh{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \cosh{\left(c \right)} & \text{otherwise} \end{cases}\right) + a \left(\begin{cases} \frac{\cosh{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \sinh{\left(c \right)} & \text{otherwise} \end{cases}\right)"," ",0,"a*Piecewise((sinh(c + d*x)/d, Ne(d, 0)), (x*cosh(c), True)) + a*Piecewise((cosh(c + d*x)/d, Ne(d, 0)), (x*sinh(c), True))","A",0
597,1,44,0,0.207445," ","integrate((a*cosh(d*x+c)+a*sinh(d*x+c))**2,x)","\begin{cases} \frac{a^{2} \sinh^{2}{\left(c + d x \right)}}{d} + \frac{a^{2} \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \left(a \sinh{\left(c \right)} + a \cosh{\left(c \right)}\right)^{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*sinh(c + d*x)**2/d + a**2*sinh(c + d*x)*cosh(c + d*x)/d, Ne(d, 0)), (x*(a*sinh(c) + a*cosh(c))**2, True))","A",0
598,1,83,0,0.461568," ","integrate((a*cosh(d*x+c)+a*sinh(d*x+c))**3,x)","\begin{cases} \frac{a^{3} \sinh^{3}{\left(c + d x \right)}}{3 d} + \frac{a^{3} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{d} + \frac{a^{3} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{d} + \frac{a^{3} \cosh^{3}{\left(c + d x \right)}}{3 d} & \text{for}\: d \neq 0 \\x \left(a \sinh{\left(c \right)} + a \cosh{\left(c \right)}\right)^{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**3*sinh(c + d*x)**3/(3*d) + a**3*sinh(c + d*x)**2*cosh(c + d*x)/d + a**3*sinh(c + d*x)*cosh(c + d*x)**2/d + a**3*cosh(c + d*x)**3/(3*d), Ne(d, 0)), (x*(a*sinh(c) + a*cosh(c))**3, True))","A",0
599,1,36,0,0.186662," ","integrate((a*cosh(d*x+c)+a*sinh(d*x+c))**n,x)","\begin{cases} x & \text{for}\: d = 0 \wedge n = 0 \\x \left(a \sinh{\left(c \right)} + a \cosh{\left(c \right)}\right)^{n} & \text{for}\: d = 0 \\x & \text{for}\: n = 0 \\\frac{\left(a \sinh{\left(c + d x \right)} + a \cosh{\left(c + d x \right)}\right)^{n}}{d n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x, Eq(d, 0) & Eq(n, 0)), (x*(a*sinh(c) + a*cosh(c))**n, Eq(d, 0)), (x, Eq(n, 0)), ((a*sinh(c + d*x) + a*cosh(c + d*x))**n/(d*n), True))","A",0
600,1,34,0,0.446826," ","integrate(1/(a*cosh(d*x+c)+a*sinh(d*x+c)),x)","\begin{cases} - \frac{1}{a d \sinh{\left(c + d x \right)} + a d \cosh{\left(c + d x \right)}} & \text{for}\: d \neq 0 \\\frac{x}{a \sinh{\left(c \right)} + a \cosh{\left(c \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-1/(a*d*sinh(c + d*x) + a*d*cosh(c + d*x)), Ne(d, 0)), (x/(a*sinh(c) + a*cosh(c)), True))","A",0
601,1,66,0,0.819499," ","integrate(1/(a*cosh(d*x+c)+a*sinh(d*x+c))**2,x)","\begin{cases} - \frac{1}{2 a^{2} d \sinh^{2}{\left(c + d x \right)} + 4 a^{2} d \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)} + 2 a^{2} d \cosh^{2}{\left(c + d x \right)}} & \text{for}\: d \neq 0 \\\frac{x}{\left(a \sinh{\left(c \right)} + a \cosh{\left(c \right)}\right)^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-1/(2*a**2*d*sinh(c + d*x)**2 + 4*a**2*d*sinh(c + d*x)*cosh(c + d*x) + 2*a**2*d*cosh(c + d*x)**2), Ne(d, 0)), (x/(a*sinh(c) + a*cosh(c))**2, True))","A",0
602,1,90,0,1.418289," ","integrate(1/(a*cosh(d*x+c)+a*sinh(d*x+c))**3,x)","\begin{cases} - \frac{1}{3 a^{3} d \sinh^{3}{\left(c + d x \right)} + 9 a^{3} d \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)} + 9 a^{3} d \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)} + 3 a^{3} d \cosh^{3}{\left(c + d x \right)}} & \text{for}\: d \neq 0 \\\frac{x}{\left(a \sinh{\left(c \right)} + a \cosh{\left(c \right)}\right)^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-1/(3*a**3*d*sinh(c + d*x)**3 + 9*a**3*d*sinh(c + d*x)**2*cosh(c + d*x) + 9*a**3*d*sinh(c + d*x)*cosh(c + d*x)**2 + 3*a**3*d*cosh(c + d*x)**3), Ne(d, 0)), (x/(a*sinh(c) + a*cosh(c))**3, True))","A",0
603,0,0,0,0.000000," ","integrate((a*cosh(d*x+c)+a*sinh(d*x+c))**(1/2),x)","\int \sqrt{a \sinh{\left(c + d x \right)} + a \cosh{\left(c + d x \right)}}\, dx"," ",0,"Integral(sqrt(a*sinh(c + d*x) + a*cosh(c + d*x)), x)","F",0
604,0,0,0,0.000000," ","integrate(1/(a*cosh(d*x+c)+a*sinh(d*x+c))**(1/2),x)","\int \frac{1}{\sqrt{a \sinh{\left(c + d x \right)} + a \cosh{\left(c + d x \right)}}}\, dx"," ",0,"Integral(1/sqrt(a*sinh(c + d*x) + a*cosh(c + d*x)), x)","F",0
605,1,29,0,0.150639," ","integrate(a*cosh(d*x+c)-a*sinh(d*x+c),x)","a \left(\begin{cases} \frac{\sinh{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \cosh{\left(c \right)} & \text{otherwise} \end{cases}\right) - a \left(\begin{cases} \frac{\cosh{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \sinh{\left(c \right)} & \text{otherwise} \end{cases}\right)"," ",0,"a*Piecewise((sinh(c + d*x)/d, Ne(d, 0)), (x*cosh(c), True)) - a*Piecewise((cosh(c + d*x)/d, Ne(d, 0)), (x*sinh(c), True))","A",0
606,1,44,0,0.210541," ","integrate((a*cosh(d*x+c)-a*sinh(d*x+c))**2,x)","\begin{cases} - \frac{a^{2} \sinh^{2}{\left(c + d x \right)}}{d} + \frac{a^{2} \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \left(- a \sinh{\left(c \right)} + a \cosh{\left(c \right)}\right)^{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**2*sinh(c + d*x)**2/d + a**2*sinh(c + d*x)*cosh(c + d*x)/d, Ne(d, 0)), (x*(-a*sinh(c) + a*cosh(c))**2, True))","A",0
607,1,83,0,0.468135," ","integrate((a*cosh(d*x+c)-a*sinh(d*x+c))**3,x)","\begin{cases} \frac{a^{3} \sinh^{3}{\left(c + d x \right)}}{3 d} - \frac{a^{3} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{d} + \frac{a^{3} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{d} - \frac{a^{3} \cosh^{3}{\left(c + d x \right)}}{3 d} & \text{for}\: d \neq 0 \\x \left(- a \sinh{\left(c \right)} + a \cosh{\left(c \right)}\right)^{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**3*sinh(c + d*x)**3/(3*d) - a**3*sinh(c + d*x)**2*cosh(c + d*x)/d + a**3*sinh(c + d*x)*cosh(c + d*x)**2/d - a**3*cosh(c + d*x)**3/(3*d), Ne(d, 0)), (x*(-a*sinh(c) + a*cosh(c))**3, True))","A",0
608,1,37,0,0.194737," ","integrate((a*cosh(d*x+c)-a*sinh(d*x+c))**n,x)","\begin{cases} x & \text{for}\: d = 0 \wedge n = 0 \\x \left(- a \sinh{\left(c \right)} + a \cosh{\left(c \right)}\right)^{n} & \text{for}\: d = 0 \\x & \text{for}\: n = 0 \\- \frac{\left(- a \sinh{\left(c + d x \right)} + a \cosh{\left(c + d x \right)}\right)^{n}}{d n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x, Eq(d, 0) & Eq(n, 0)), (x*(-a*sinh(c) + a*cosh(c))**n, Eq(d, 0)), (x, Eq(n, 0)), (-(-a*sinh(c + d*x) + a*cosh(c + d*x))**n/(d*n), True))","A",0
609,1,32,0,0.352680," ","integrate(1/(a*cosh(d*x+c)-a*sinh(d*x+c)),x)","\begin{cases} \frac{1}{- a d \sinh{\left(c + d x \right)} + a d \cosh{\left(c + d x \right)}} & \text{for}\: d \neq 0 \\\frac{x}{- a \sinh{\left(c \right)} + a \cosh{\left(c \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((1/(-a*d*sinh(c + d*x) + a*d*cosh(c + d*x)), Ne(d, 0)), (x/(-a*sinh(c) + a*cosh(c)), True))","A",0
610,1,65,0,0.620036," ","integrate(1/(a*cosh(d*x+c)-a*sinh(d*x+c))**2,x)","\begin{cases} \frac{1}{2 a^{2} d \sinh^{2}{\left(c + d x \right)} - 4 a^{2} d \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)} + 2 a^{2} d \cosh^{2}{\left(c + d x \right)}} & \text{for}\: d \neq 0 \\\frac{x}{\left(- a \sinh{\left(c \right)} + a \cosh{\left(c \right)}\right)^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((1/(2*a**2*d*sinh(c + d*x)**2 - 4*a**2*d*sinh(c + d*x)*cosh(c + d*x) + 2*a**2*d*cosh(c + d*x)**2), Ne(d, 0)), (x/(-a*sinh(c) + a*cosh(c))**2, True))","A",0
611,1,88,0,1.122775," ","integrate(1/(a*cosh(d*x+c)-a*sinh(d*x+c))**3,x)","\begin{cases} \frac{1}{- 3 a^{3} d \sinh^{3}{\left(c + d x \right)} + 9 a^{3} d \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)} - 9 a^{3} d \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)} + 3 a^{3} d \cosh^{3}{\left(c + d x \right)}} & \text{for}\: d \neq 0 \\\frac{x}{\left(- a \sinh{\left(c \right)} + a \cosh{\left(c \right)}\right)^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((1/(-3*a**3*d*sinh(c + d*x)**3 + 9*a**3*d*sinh(c + d*x)**2*cosh(c + d*x) - 9*a**3*d*sinh(c + d*x)*cosh(c + d*x)**2 + 3*a**3*d*cosh(c + d*x)**3), Ne(d, 0)), (x/(-a*sinh(c) + a*cosh(c))**3, True))","A",0
612,0,0,0,0.000000," ","integrate((a*cosh(d*x+c)-a*sinh(d*x+c))**(1/2),x)","\int \sqrt{- a \sinh{\left(c + d x \right)} + a \cosh{\left(c + d x \right)}}\, dx"," ",0,"Integral(sqrt(-a*sinh(c + d*x) + a*cosh(c + d*x)), x)","F",0
613,0,0,0,0.000000," ","integrate(1/(a*cosh(d*x+c)-a*sinh(d*x+c))**(1/2),x)","\int \frac{1}{\sqrt{- a \sinh{\left(c + d x \right)} + a \cosh{\left(c + d x \right)}}}\, dx"," ",0,"Integral(1/sqrt(-a*sinh(c + d*x) + a*cosh(c + d*x)), x)","F",0
614,0,0,0,0.000000," ","integrate((a*sech(x)+b*tanh(x))**5,x)","\int \left(a \operatorname{sech}{\left(x \right)} + b \tanh{\left(x \right)}\right)^{5}\, dx"," ",0,"Integral((a*sech(x) + b*tanh(x))**5, x)","F",0
615,0,0,0,0.000000," ","integrate((a*sech(x)+b*tanh(x))**4,x)","\int \left(a \operatorname{sech}{\left(x \right)} + b \tanh{\left(x \right)}\right)^{4}\, dx"," ",0,"Integral((a*sech(x) + b*tanh(x))**4, x)","F",0
616,0,0,0,0.000000," ","integrate((a*sech(x)+b*tanh(x))**3,x)","\int \left(a \operatorname{sech}{\left(x \right)} + b \tanh{\left(x \right)}\right)^{3}\, dx"," ",0,"Integral((a*sech(x) + b*tanh(x))**3, x)","F",0
617,0,0,0,0.000000," ","integrate((a*sech(x)+b*tanh(x))**2,x)","\int \left(a \operatorname{sech}{\left(x \right)} + b \tanh{\left(x \right)}\right)^{2}\, dx"," ",0,"Integral((a*sech(x) + b*tanh(x))**2, x)","F",0
618,0,0,0,0.000000," ","integrate(a*sech(x)+b*tanh(x),x)","\int \left(a \operatorname{sech}{\left(x \right)} + b \tanh{\left(x \right)}\right)\, dx"," ",0,"Integral(a*sech(x) + b*tanh(x), x)","F",0
619,1,32,0,0.441624," ","integrate(1/(a*sech(x)+b*tanh(x)),x)","\begin{cases} \frac{x}{b} + \frac{\log{\left(\frac{a \operatorname{sech}{\left(x \right)}}{b} + \tanh{\left(x \right)} \right)}}{b} - \frac{\log{\left(\tanh{\left(x \right)} + 1 \right)}}{b} & \text{for}\: b \neq 0 \\\frac{\tanh{\left(x \right)}}{a \operatorname{sech}{\left(x \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x/b + log(a*sech(x)/b + tanh(x))/b - log(tanh(x) + 1)/b, Ne(b, 0)), (tanh(x)/(a*sech(x)), True))","A",0
620,0,0,0,0.000000," ","integrate(1/(a*sech(x)+b*tanh(x))**2,x)","\int \frac{1}{\left(a \operatorname{sech}{\left(x \right)} + b \tanh{\left(x \right)}\right)^{2}}\, dx"," ",0,"Integral((a*sech(x) + b*tanh(x))**(-2), x)","F",0
621,1,651,0,2.886976," ","integrate(1/(a*sech(x)+b*tanh(x))**3,x)","\begin{cases} \frac{2 a^{2} x \operatorname{sech}^{2}{\left(x \right)}}{2 a^{2} b^{3} \operatorname{sech}^{2}{\left(x \right)} + 4 a b^{4} \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)} + 2 b^{5} \tanh^{2}{\left(x \right)}} + \frac{2 a^{2} \log{\left(\frac{a \operatorname{sech}{\left(x \right)}}{b} + \tanh{\left(x \right)} \right)} \operatorname{sech}^{2}{\left(x \right)}}{2 a^{2} b^{3} \operatorname{sech}^{2}{\left(x \right)} + 4 a b^{4} \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)} + 2 b^{5} \tanh^{2}{\left(x \right)}} - \frac{2 a^{2} \log{\left(\tanh{\left(x \right)} + 1 \right)} \operatorname{sech}^{2}{\left(x \right)}}{2 a^{2} b^{3} \operatorname{sech}^{2}{\left(x \right)} + 4 a b^{4} \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)} + 2 b^{5} \tanh^{2}{\left(x \right)}} + \frac{a^{2} \operatorname{sech}^{2}{\left(x \right)}}{2 a^{2} b^{3} \operatorname{sech}^{2}{\left(x \right)} + 4 a b^{4} \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)} + 2 b^{5} \tanh^{2}{\left(x \right)}} + \frac{4 a b x \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)}}{2 a^{2} b^{3} \operatorname{sech}^{2}{\left(x \right)} + 4 a b^{4} \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)} + 2 b^{5} \tanh^{2}{\left(x \right)}} + \frac{4 a b \log{\left(\frac{a \operatorname{sech}{\left(x \right)}}{b} + \tanh{\left(x \right)} \right)} \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)}}{2 a^{2} b^{3} \operatorname{sech}^{2}{\left(x \right)} + 4 a b^{4} \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)} + 2 b^{5} \tanh^{2}{\left(x \right)}} - \frac{4 a b \log{\left(\tanh{\left(x \right)} + 1 \right)} \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)}}{2 a^{2} b^{3} \operatorname{sech}^{2}{\left(x \right)} + 4 a b^{4} \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)} + 2 b^{5} \tanh^{2}{\left(x \right)}} + \frac{2 b^{2} x \tanh^{2}{\left(x \right)}}{2 a^{2} b^{3} \operatorname{sech}^{2}{\left(x \right)} + 4 a b^{4} \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)} + 2 b^{5} \tanh^{2}{\left(x \right)}} + \frac{2 b^{2} \log{\left(\frac{a \operatorname{sech}{\left(x \right)}}{b} + \tanh{\left(x \right)} \right)} \tanh^{2}{\left(x \right)}}{2 a^{2} b^{3} \operatorname{sech}^{2}{\left(x \right)} + 4 a b^{4} \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)} + 2 b^{5} \tanh^{2}{\left(x \right)}} - \frac{2 b^{2} \log{\left(\tanh{\left(x \right)} + 1 \right)} \tanh^{2}{\left(x \right)}}{2 a^{2} b^{3} \operatorname{sech}^{2}{\left(x \right)} + 4 a b^{4} \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)} + 2 b^{5} \tanh^{2}{\left(x \right)}} - \frac{b^{2} \tanh^{2}{\left(x \right)}}{2 a^{2} b^{3} \operatorname{sech}^{2}{\left(x \right)} + 4 a b^{4} \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)} + 2 b^{5} \tanh^{2}{\left(x \right)}} - \frac{b^{2}}{2 a^{2} b^{3} \operatorname{sech}^{2}{\left(x \right)} + 4 a b^{4} \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)} + 2 b^{5} \tanh^{2}{\left(x \right)}} & \text{for}\: b \neq 0 \\\frac{- \frac{2 \tanh^{3}{\left(x \right)}}{3 \operatorname{sech}^{3}{\left(x \right)}} + \frac{\tanh{\left(x \right)}}{\operatorname{sech}^{3}{\left(x \right)}}}{a^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*a**2*x*sech(x)**2/(2*a**2*b**3*sech(x)**2 + 4*a*b**4*tanh(x)*sech(x) + 2*b**5*tanh(x)**2) + 2*a**2*log(a*sech(x)/b + tanh(x))*sech(x)**2/(2*a**2*b**3*sech(x)**2 + 4*a*b**4*tanh(x)*sech(x) + 2*b**5*tanh(x)**2) - 2*a**2*log(tanh(x) + 1)*sech(x)**2/(2*a**2*b**3*sech(x)**2 + 4*a*b**4*tanh(x)*sech(x) + 2*b**5*tanh(x)**2) + a**2*sech(x)**2/(2*a**2*b**3*sech(x)**2 + 4*a*b**4*tanh(x)*sech(x) + 2*b**5*tanh(x)**2) + 4*a*b*x*tanh(x)*sech(x)/(2*a**2*b**3*sech(x)**2 + 4*a*b**4*tanh(x)*sech(x) + 2*b**5*tanh(x)**2) + 4*a*b*log(a*sech(x)/b + tanh(x))*tanh(x)*sech(x)/(2*a**2*b**3*sech(x)**2 + 4*a*b**4*tanh(x)*sech(x) + 2*b**5*tanh(x)**2) - 4*a*b*log(tanh(x) + 1)*tanh(x)*sech(x)/(2*a**2*b**3*sech(x)**2 + 4*a*b**4*tanh(x)*sech(x) + 2*b**5*tanh(x)**2) + 2*b**2*x*tanh(x)**2/(2*a**2*b**3*sech(x)**2 + 4*a*b**4*tanh(x)*sech(x) + 2*b**5*tanh(x)**2) + 2*b**2*log(a*sech(x)/b + tanh(x))*tanh(x)**2/(2*a**2*b**3*sech(x)**2 + 4*a*b**4*tanh(x)*sech(x) + 2*b**5*tanh(x)**2) - 2*b**2*log(tanh(x) + 1)*tanh(x)**2/(2*a**2*b**3*sech(x)**2 + 4*a*b**4*tanh(x)*sech(x) + 2*b**5*tanh(x)**2) - b**2*tanh(x)**2/(2*a**2*b**3*sech(x)**2 + 4*a*b**4*tanh(x)*sech(x) + 2*b**5*tanh(x)**2) - b**2/(2*a**2*b**3*sech(x)**2 + 4*a*b**4*tanh(x)*sech(x) + 2*b**5*tanh(x)**2), Ne(b, 0)), ((-2*tanh(x)**3/(3*sech(x)**3) + tanh(x)/sech(x)**3)/a**3, True))","A",0
622,0,0,0,0.000000," ","integrate(1/(a*sech(x)+b*tanh(x))**4,x)","\int \frac{1}{\left(a \operatorname{sech}{\left(x \right)} + b \tanh{\left(x \right)}\right)^{4}}\, dx"," ",0,"Integral((a*sech(x) + b*tanh(x))**(-4), x)","F",0
623,1,2162,0,16.636031," ","integrate(1/(a*sech(x)+b*tanh(x))**5,x)","\begin{cases} \frac{36 a^{4} x \operatorname{sech}^{4}{\left(x \right)}}{36 a^{4} b^{5} \operatorname{sech}^{4}{\left(x \right)} + 144 a^{3} b^{6} \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 216 a^{2} b^{7} \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 a b^{8} \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} + 36 b^{9} \tanh^{4}{\left(x \right)}} + \frac{36 a^{4} \log{\left(\frac{a \operatorname{sech}{\left(x \right)}}{b} + \tanh{\left(x \right)} \right)} \operatorname{sech}^{4}{\left(x \right)}}{36 a^{4} b^{5} \operatorname{sech}^{4}{\left(x \right)} + 144 a^{3} b^{6} \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 216 a^{2} b^{7} \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 a b^{8} \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} + 36 b^{9} \tanh^{4}{\left(x \right)}} - \frac{36 a^{4} \log{\left(\tanh{\left(x \right)} + 1 \right)} \operatorname{sech}^{4}{\left(x \right)}}{36 a^{4} b^{5} \operatorname{sech}^{4}{\left(x \right)} + 144 a^{3} b^{6} \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 216 a^{2} b^{7} \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 a b^{8} \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} + 36 b^{9} \tanh^{4}{\left(x \right)}} + \frac{20 a^{4} \operatorname{sech}^{4}{\left(x \right)}}{36 a^{4} b^{5} \operatorname{sech}^{4}{\left(x \right)} + 144 a^{3} b^{6} \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 216 a^{2} b^{7} \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 a b^{8} \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} + 36 b^{9} \tanh^{4}{\left(x \right)}} + \frac{144 a^{3} b x \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)}}{36 a^{4} b^{5} \operatorname{sech}^{4}{\left(x \right)} + 144 a^{3} b^{6} \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 216 a^{2} b^{7} \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 a b^{8} \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} + 36 b^{9} \tanh^{4}{\left(x \right)}} + \frac{144 a^{3} b \log{\left(\frac{a \operatorname{sech}{\left(x \right)}}{b} + \tanh{\left(x \right)} \right)} \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)}}{36 a^{4} b^{5} \operatorname{sech}^{4}{\left(x \right)} + 144 a^{3} b^{6} \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 216 a^{2} b^{7} \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 a b^{8} \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} + 36 b^{9} \tanh^{4}{\left(x \right)}} - \frac{144 a^{3} b \log{\left(\tanh{\left(x \right)} + 1 \right)} \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)}}{36 a^{4} b^{5} \operatorname{sech}^{4}{\left(x \right)} + 144 a^{3} b^{6} \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 216 a^{2} b^{7} \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 a b^{8} \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} + 36 b^{9} \tanh^{4}{\left(x \right)}} + \frac{44 a^{3} b \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)}}{36 a^{4} b^{5} \operatorname{sech}^{4}{\left(x \right)} + 144 a^{3} b^{6} \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 216 a^{2} b^{7} \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 a b^{8} \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} + 36 b^{9} \tanh^{4}{\left(x \right)}} + \frac{216 a^{2} b^{2} x \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)}}{36 a^{4} b^{5} \operatorname{sech}^{4}{\left(x \right)} + 144 a^{3} b^{6} \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 216 a^{2} b^{7} \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 a b^{8} \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} + 36 b^{9} \tanh^{4}{\left(x \right)}} + \frac{216 a^{2} b^{2} \log{\left(\frac{a \operatorname{sech}{\left(x \right)}}{b} + \tanh{\left(x \right)} \right)} \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)}}{36 a^{4} b^{5} \operatorname{sech}^{4}{\left(x \right)} + 144 a^{3} b^{6} \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 216 a^{2} b^{7} \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 a b^{8} \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} + 36 b^{9} \tanh^{4}{\left(x \right)}} - \frac{216 a^{2} b^{2} \log{\left(\tanh{\left(x \right)} + 1 \right)} \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)}}{36 a^{4} b^{5} \operatorname{sech}^{4}{\left(x \right)} + 144 a^{3} b^{6} \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 216 a^{2} b^{7} \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 a b^{8} \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} + 36 b^{9} \tanh^{4}{\left(x \right)}} - \frac{6 a^{2} b^{2} \operatorname{sech}^{2}{\left(x \right)}}{36 a^{4} b^{5} \operatorname{sech}^{4}{\left(x \right)} + 144 a^{3} b^{6} \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 216 a^{2} b^{7} \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 a b^{8} \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} + 36 b^{9} \tanh^{4}{\left(x \right)}} + \frac{144 a b^{3} x \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)}}{36 a^{4} b^{5} \operatorname{sech}^{4}{\left(x \right)} + 144 a^{3} b^{6} \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 216 a^{2} b^{7} \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 a b^{8} \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} + 36 b^{9} \tanh^{4}{\left(x \right)}} + \frac{144 a b^{3} \log{\left(\frac{a \operatorname{sech}{\left(x \right)}}{b} + \tanh{\left(x \right)} \right)} \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)}}{36 a^{4} b^{5} \operatorname{sech}^{4}{\left(x \right)} + 144 a^{3} b^{6} \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 216 a^{2} b^{7} \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 a b^{8} \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} + 36 b^{9} \tanh^{4}{\left(x \right)}} - \frac{144 a b^{3} \log{\left(\tanh{\left(x \right)} + 1 \right)} \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)}}{36 a^{4} b^{5} \operatorname{sech}^{4}{\left(x \right)} + 144 a^{3} b^{6} \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 216 a^{2} b^{7} \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 a b^{8} \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} + 36 b^{9} \tanh^{4}{\left(x \right)}} - \frac{52 a b^{3} \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)}}{36 a^{4} b^{5} \operatorname{sech}^{4}{\left(x \right)} + 144 a^{3} b^{6} \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 216 a^{2} b^{7} \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 a b^{8} \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} + 36 b^{9} \tanh^{4}{\left(x \right)}} - \frac{24 a b^{3} \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)}}{36 a^{4} b^{5} \operatorname{sech}^{4}{\left(x \right)} + 144 a^{3} b^{6} \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 216 a^{2} b^{7} \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 a b^{8} \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} + 36 b^{9} \tanh^{4}{\left(x \right)}} + \frac{36 b^{4} x \tanh^{4}{\left(x \right)}}{36 a^{4} b^{5} \operatorname{sech}^{4}{\left(x \right)} + 144 a^{3} b^{6} \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 216 a^{2} b^{7} \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 a b^{8} \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} + 36 b^{9} \tanh^{4}{\left(x \right)}} + \frac{36 b^{4} \log{\left(\frac{a \operatorname{sech}{\left(x \right)}}{b} + \tanh{\left(x \right)} \right)} \tanh^{4}{\left(x \right)}}{36 a^{4} b^{5} \operatorname{sech}^{4}{\left(x \right)} + 144 a^{3} b^{6} \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 216 a^{2} b^{7} \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 a b^{8} \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} + 36 b^{9} \tanh^{4}{\left(x \right)}} - \frac{36 b^{4} \log{\left(\tanh{\left(x \right)} + 1 \right)} \tanh^{4}{\left(x \right)}}{36 a^{4} b^{5} \operatorname{sech}^{4}{\left(x \right)} + 144 a^{3} b^{6} \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 216 a^{2} b^{7} \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 a b^{8} \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} + 36 b^{9} \tanh^{4}{\left(x \right)}} - \frac{28 b^{4} \tanh^{4}{\left(x \right)}}{36 a^{4} b^{5} \operatorname{sech}^{4}{\left(x \right)} + 144 a^{3} b^{6} \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 216 a^{2} b^{7} \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 a b^{8} \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} + 36 b^{9} \tanh^{4}{\left(x \right)}} - \frac{18 b^{4} \tanh^{2}{\left(x \right)}}{36 a^{4} b^{5} \operatorname{sech}^{4}{\left(x \right)} + 144 a^{3} b^{6} \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 216 a^{2} b^{7} \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 a b^{8} \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} + 36 b^{9} \tanh^{4}{\left(x \right)}} - \frac{9 b^{4}}{36 a^{4} b^{5} \operatorname{sech}^{4}{\left(x \right)} + 144 a^{3} b^{6} \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 216 a^{2} b^{7} \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 a b^{8} \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} + 36 b^{9} \tanh^{4}{\left(x \right)}} & \text{for}\: b \neq 0 \\\frac{\frac{8 \tanh^{5}{\left(x \right)}}{15 \operatorname{sech}^{5}{\left(x \right)}} - \frac{4 \tanh^{3}{\left(x \right)}}{3 \operatorname{sech}^{5}{\left(x \right)}} + \frac{\tanh{\left(x \right)}}{\operatorname{sech}^{5}{\left(x \right)}}}{a^{5}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((36*a**4*x*sech(x)**4/(36*a**4*b**5*sech(x)**4 + 144*a**3*b**6*tanh(x)*sech(x)**3 + 216*a**2*b**7*tanh(x)**2*sech(x)**2 + 144*a*b**8*tanh(x)**3*sech(x) + 36*b**9*tanh(x)**4) + 36*a**4*log(a*sech(x)/b + tanh(x))*sech(x)**4/(36*a**4*b**5*sech(x)**4 + 144*a**3*b**6*tanh(x)*sech(x)**3 + 216*a**2*b**7*tanh(x)**2*sech(x)**2 + 144*a*b**8*tanh(x)**3*sech(x) + 36*b**9*tanh(x)**4) - 36*a**4*log(tanh(x) + 1)*sech(x)**4/(36*a**4*b**5*sech(x)**4 + 144*a**3*b**6*tanh(x)*sech(x)**3 + 216*a**2*b**7*tanh(x)**2*sech(x)**2 + 144*a*b**8*tanh(x)**3*sech(x) + 36*b**9*tanh(x)**4) + 20*a**4*sech(x)**4/(36*a**4*b**5*sech(x)**4 + 144*a**3*b**6*tanh(x)*sech(x)**3 + 216*a**2*b**7*tanh(x)**2*sech(x)**2 + 144*a*b**8*tanh(x)**3*sech(x) + 36*b**9*tanh(x)**4) + 144*a**3*b*x*tanh(x)*sech(x)**3/(36*a**4*b**5*sech(x)**4 + 144*a**3*b**6*tanh(x)*sech(x)**3 + 216*a**2*b**7*tanh(x)**2*sech(x)**2 + 144*a*b**8*tanh(x)**3*sech(x) + 36*b**9*tanh(x)**4) + 144*a**3*b*log(a*sech(x)/b + tanh(x))*tanh(x)*sech(x)**3/(36*a**4*b**5*sech(x)**4 + 144*a**3*b**6*tanh(x)*sech(x)**3 + 216*a**2*b**7*tanh(x)**2*sech(x)**2 + 144*a*b**8*tanh(x)**3*sech(x) + 36*b**9*tanh(x)**4) - 144*a**3*b*log(tanh(x) + 1)*tanh(x)*sech(x)**3/(36*a**4*b**5*sech(x)**4 + 144*a**3*b**6*tanh(x)*sech(x)**3 + 216*a**2*b**7*tanh(x)**2*sech(x)**2 + 144*a*b**8*tanh(x)**3*sech(x) + 36*b**9*tanh(x)**4) + 44*a**3*b*tanh(x)*sech(x)**3/(36*a**4*b**5*sech(x)**4 + 144*a**3*b**6*tanh(x)*sech(x)**3 + 216*a**2*b**7*tanh(x)**2*sech(x)**2 + 144*a*b**8*tanh(x)**3*sech(x) + 36*b**9*tanh(x)**4) + 216*a**2*b**2*x*tanh(x)**2*sech(x)**2/(36*a**4*b**5*sech(x)**4 + 144*a**3*b**6*tanh(x)*sech(x)**3 + 216*a**2*b**7*tanh(x)**2*sech(x)**2 + 144*a*b**8*tanh(x)**3*sech(x) + 36*b**9*tanh(x)**4) + 216*a**2*b**2*log(a*sech(x)/b + tanh(x))*tanh(x)**2*sech(x)**2/(36*a**4*b**5*sech(x)**4 + 144*a**3*b**6*tanh(x)*sech(x)**3 + 216*a**2*b**7*tanh(x)**2*sech(x)**2 + 144*a*b**8*tanh(x)**3*sech(x) + 36*b**9*tanh(x)**4) - 216*a**2*b**2*log(tanh(x) + 1)*tanh(x)**2*sech(x)**2/(36*a**4*b**5*sech(x)**4 + 144*a**3*b**6*tanh(x)*sech(x)**3 + 216*a**2*b**7*tanh(x)**2*sech(x)**2 + 144*a*b**8*tanh(x)**3*sech(x) + 36*b**9*tanh(x)**4) - 6*a**2*b**2*sech(x)**2/(36*a**4*b**5*sech(x)**4 + 144*a**3*b**6*tanh(x)*sech(x)**3 + 216*a**2*b**7*tanh(x)**2*sech(x)**2 + 144*a*b**8*tanh(x)**3*sech(x) + 36*b**9*tanh(x)**4) + 144*a*b**3*x*tanh(x)**3*sech(x)/(36*a**4*b**5*sech(x)**4 + 144*a**3*b**6*tanh(x)*sech(x)**3 + 216*a**2*b**7*tanh(x)**2*sech(x)**2 + 144*a*b**8*tanh(x)**3*sech(x) + 36*b**9*tanh(x)**4) + 144*a*b**3*log(a*sech(x)/b + tanh(x))*tanh(x)**3*sech(x)/(36*a**4*b**5*sech(x)**4 + 144*a**3*b**6*tanh(x)*sech(x)**3 + 216*a**2*b**7*tanh(x)**2*sech(x)**2 + 144*a*b**8*tanh(x)**3*sech(x) + 36*b**9*tanh(x)**4) - 144*a*b**3*log(tanh(x) + 1)*tanh(x)**3*sech(x)/(36*a**4*b**5*sech(x)**4 + 144*a**3*b**6*tanh(x)*sech(x)**3 + 216*a**2*b**7*tanh(x)**2*sech(x)**2 + 144*a*b**8*tanh(x)**3*sech(x) + 36*b**9*tanh(x)**4) - 52*a*b**3*tanh(x)**3*sech(x)/(36*a**4*b**5*sech(x)**4 + 144*a**3*b**6*tanh(x)*sech(x)**3 + 216*a**2*b**7*tanh(x)**2*sech(x)**2 + 144*a*b**8*tanh(x)**3*sech(x) + 36*b**9*tanh(x)**4) - 24*a*b**3*tanh(x)*sech(x)/(36*a**4*b**5*sech(x)**4 + 144*a**3*b**6*tanh(x)*sech(x)**3 + 216*a**2*b**7*tanh(x)**2*sech(x)**2 + 144*a*b**8*tanh(x)**3*sech(x) + 36*b**9*tanh(x)**4) + 36*b**4*x*tanh(x)**4/(36*a**4*b**5*sech(x)**4 + 144*a**3*b**6*tanh(x)*sech(x)**3 + 216*a**2*b**7*tanh(x)**2*sech(x)**2 + 144*a*b**8*tanh(x)**3*sech(x) + 36*b**9*tanh(x)**4) + 36*b**4*log(a*sech(x)/b + tanh(x))*tanh(x)**4/(36*a**4*b**5*sech(x)**4 + 144*a**3*b**6*tanh(x)*sech(x)**3 + 216*a**2*b**7*tanh(x)**2*sech(x)**2 + 144*a*b**8*tanh(x)**3*sech(x) + 36*b**9*tanh(x)**4) - 36*b**4*log(tanh(x) + 1)*tanh(x)**4/(36*a**4*b**5*sech(x)**4 + 144*a**3*b**6*tanh(x)*sech(x)**3 + 216*a**2*b**7*tanh(x)**2*sech(x)**2 + 144*a*b**8*tanh(x)**3*sech(x) + 36*b**9*tanh(x)**4) - 28*b**4*tanh(x)**4/(36*a**4*b**5*sech(x)**4 + 144*a**3*b**6*tanh(x)*sech(x)**3 + 216*a**2*b**7*tanh(x)**2*sech(x)**2 + 144*a*b**8*tanh(x)**3*sech(x) + 36*b**9*tanh(x)**4) - 18*b**4*tanh(x)**2/(36*a**4*b**5*sech(x)**4 + 144*a**3*b**6*tanh(x)*sech(x)**3 + 216*a**2*b**7*tanh(x)**2*sech(x)**2 + 144*a*b**8*tanh(x)**3*sech(x) + 36*b**9*tanh(x)**4) - 9*b**4/(36*a**4*b**5*sech(x)**4 + 144*a**3*b**6*tanh(x)*sech(x)**3 + 216*a**2*b**7*tanh(x)**2*sech(x)**2 + 144*a*b**8*tanh(x)**3*sech(x) + 36*b**9*tanh(x)**4), Ne(b, 0)), ((8*tanh(x)**5/(15*sech(x)**5) - 4*tanh(x)**3/(3*sech(x)**5) + tanh(x)/sech(x)**5)/a**5, True))","A",0
624,0,0,0,0.000000," ","integrate((sech(x)+I*tanh(x))**5,x)","\int \left(i \tanh{\left(x \right)} + \operatorname{sech}{\left(x \right)}\right)^{5}\, dx"," ",0,"Integral((I*tanh(x) + sech(x))**5, x)","F",0
625,0,0,0,0.000000," ","integrate((sech(x)+I*tanh(x))**4,x)","\int \left(i \tanh{\left(x \right)} + \operatorname{sech}{\left(x \right)}\right)^{4}\, dx"," ",0,"Integral((I*tanh(x) + sech(x))**4, x)","F",0
626,0,0,0,0.000000," ","integrate((sech(x)+I*tanh(x))**3,x)","\int \left(i \tanh{\left(x \right)} + \operatorname{sech}{\left(x \right)}\right)^{3}\, dx"," ",0,"Integral((I*tanh(x) + sech(x))**3, x)","F",0
627,0,0,0,0.000000," ","integrate((sech(x)+I*tanh(x))**2,x)","\int \left(i \tanh{\left(x \right)} + \operatorname{sech}{\left(x \right)}\right)^{2}\, dx"," ",0,"Integral((I*tanh(x) + sech(x))**2, x)","F",0
628,0,0,0,0.000000," ","integrate(sech(x)+I*tanh(x),x)","\int \left(i \tanh{\left(x \right)} + \operatorname{sech}{\left(x \right)}\right)\, dx"," ",0,"Integral(I*tanh(x) + sech(x), x)","F",0
629,1,22,0,0.211904," ","integrate(1/(sech(x)+I*tanh(x)),x)","- i x - i \log{\left(i \tanh{\left(x \right)} + \operatorname{sech}{\left(x \right)} \right)} + i \log{\left(\tanh{\left(x \right)} + 1 \right)}"," ",0,"-I*x - I*log(I*tanh(x) + sech(x)) + I*log(tanh(x) + 1)","B",0
630,0,0,0,0.000000," ","integrate(1/(sech(x)+I*tanh(x))**2,x)","\int \frac{1}{\left(i \tanh{\left(x \right)} + \operatorname{sech}{\left(x \right)}\right)^{2}}\, dx"," ",0,"Integral((I*tanh(x) + sech(x))**(-2), x)","F",0
631,1,432,0,1.800977," ","integrate(1/(sech(x)+I*tanh(x))**3,x)","- \frac{2 i x \tanh^{2}{\left(x \right)}}{- 2 \tanh^{2}{\left(x \right)} + 4 i \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)} + 2 \operatorname{sech}^{2}{\left(x \right)}} - \frac{4 x \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)}}{- 2 \tanh^{2}{\left(x \right)} + 4 i \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)} + 2 \operatorname{sech}^{2}{\left(x \right)}} + \frac{2 i x \operatorname{sech}^{2}{\left(x \right)}}{- 2 \tanh^{2}{\left(x \right)} + 4 i \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)} + 2 \operatorname{sech}^{2}{\left(x \right)}} - \frac{2 i \log{\left(i \tanh{\left(x \right)} + \operatorname{sech}{\left(x \right)} \right)} \tanh^{2}{\left(x \right)}}{- 2 \tanh^{2}{\left(x \right)} + 4 i \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)} + 2 \operatorname{sech}^{2}{\left(x \right)}} - \frac{4 \log{\left(i \tanh{\left(x \right)} + \operatorname{sech}{\left(x \right)} \right)} \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)}}{- 2 \tanh^{2}{\left(x \right)} + 4 i \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)} + 2 \operatorname{sech}^{2}{\left(x \right)}} + \frac{2 i \log{\left(i \tanh{\left(x \right)} + \operatorname{sech}{\left(x \right)} \right)} \operatorname{sech}^{2}{\left(x \right)}}{- 2 \tanh^{2}{\left(x \right)} + 4 i \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)} + 2 \operatorname{sech}^{2}{\left(x \right)}} + \frac{2 i \log{\left(\tanh{\left(x \right)} + 1 \right)} \tanh^{2}{\left(x \right)}}{- 2 \tanh^{2}{\left(x \right)} + 4 i \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)} + 2 \operatorname{sech}^{2}{\left(x \right)}} + \frac{4 \log{\left(\tanh{\left(x \right)} + 1 \right)} \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)}}{- 2 \tanh^{2}{\left(x \right)} + 4 i \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)} + 2 \operatorname{sech}^{2}{\left(x \right)}} - \frac{2 i \log{\left(\tanh{\left(x \right)} + 1 \right)} \operatorname{sech}^{2}{\left(x \right)}}{- 2 \tanh^{2}{\left(x \right)} + 4 i \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)} + 2 \operatorname{sech}^{2}{\left(x \right)}} + \frac{i \tanh^{2}{\left(x \right)}}{- 2 \tanh^{2}{\left(x \right)} + 4 i \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)} + 2 \operatorname{sech}^{2}{\left(x \right)}} + \frac{i \operatorname{sech}^{2}{\left(x \right)}}{- 2 \tanh^{2}{\left(x \right)} + 4 i \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)} + 2 \operatorname{sech}^{2}{\left(x \right)}} + \frac{i}{- 2 \tanh^{2}{\left(x \right)} + 4 i \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)} + 2 \operatorname{sech}^{2}{\left(x \right)}}"," ",0,"-2*I*x*tanh(x)**2/(-2*tanh(x)**2 + 4*I*tanh(x)*sech(x) + 2*sech(x)**2) - 4*x*tanh(x)*sech(x)/(-2*tanh(x)**2 + 4*I*tanh(x)*sech(x) + 2*sech(x)**2) + 2*I*x*sech(x)**2/(-2*tanh(x)**2 + 4*I*tanh(x)*sech(x) + 2*sech(x)**2) - 2*I*log(I*tanh(x) + sech(x))*tanh(x)**2/(-2*tanh(x)**2 + 4*I*tanh(x)*sech(x) + 2*sech(x)**2) - 4*log(I*tanh(x) + sech(x))*tanh(x)*sech(x)/(-2*tanh(x)**2 + 4*I*tanh(x)*sech(x) + 2*sech(x)**2) + 2*I*log(I*tanh(x) + sech(x))*sech(x)**2/(-2*tanh(x)**2 + 4*I*tanh(x)*sech(x) + 2*sech(x)**2) + 2*I*log(tanh(x) + 1)*tanh(x)**2/(-2*tanh(x)**2 + 4*I*tanh(x)*sech(x) + 2*sech(x)**2) + 4*log(tanh(x) + 1)*tanh(x)*sech(x)/(-2*tanh(x)**2 + 4*I*tanh(x)*sech(x) + 2*sech(x)**2) - 2*I*log(tanh(x) + 1)*sech(x)**2/(-2*tanh(x)**2 + 4*I*tanh(x)*sech(x) + 2*sech(x)**2) + I*tanh(x)**2/(-2*tanh(x)**2 + 4*I*tanh(x)*sech(x) + 2*sech(x)**2) + I*sech(x)**2/(-2*tanh(x)**2 + 4*I*tanh(x)*sech(x) + 2*sech(x)**2) + I/(-2*tanh(x)**2 + 4*I*tanh(x)*sech(x) + 2*sech(x)**2)","B",0
632,0,0,0,0.000000," ","integrate(1/(sech(x)+I*tanh(x))**4,x)","\int \frac{1}{\left(i \tanh{\left(x \right)} + \operatorname{sech}{\left(x \right)}\right)^{4}}\, dx"," ",0,"Integral((I*tanh(x) + sech(x))**(-4), x)","F",0
633,1,1445,0,8.422633," ","integrate(1/(sech(x)+I*tanh(x))**5,x)","- \frac{36 i x \tanh^{4}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} - 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} - \frac{144 x \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} - 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} + \frac{216 i x \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} - 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} + \frac{144 x \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} - 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} - \frac{36 i x \operatorname{sech}^{4}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} - 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} - \frac{36 i \log{\left(i \tanh{\left(x \right)} + \operatorname{sech}{\left(x \right)} \right)} \tanh^{4}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} - 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} - \frac{144 \log{\left(i \tanh{\left(x \right)} + \operatorname{sech}{\left(x \right)} \right)} \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} - 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} + \frac{216 i \log{\left(i \tanh{\left(x \right)} + \operatorname{sech}{\left(x \right)} \right)} \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} - 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} + \frac{144 \log{\left(i \tanh{\left(x \right)} + \operatorname{sech}{\left(x \right)} \right)} \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} - 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} - \frac{36 i \log{\left(i \tanh{\left(x \right)} + \operatorname{sech}{\left(x \right)} \right)} \operatorname{sech}^{4}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} - 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} + \frac{36 i \log{\left(\tanh{\left(x \right)} + 1 \right)} \tanh^{4}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} - 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} + \frac{144 \log{\left(\tanh{\left(x \right)} + 1 \right)} \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} - 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} - \frac{216 i \log{\left(\tanh{\left(x \right)} + 1 \right)} \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} - 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} - \frac{144 \log{\left(\tanh{\left(x \right)} + 1 \right)} \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} - 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} + \frac{36 i \log{\left(\tanh{\left(x \right)} + 1 \right)} \operatorname{sech}^{4}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} - 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} + \frac{28 i \tanh^{4}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} - 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} + \frac{52 \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} - 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} + \frac{18 i \tanh^{2}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} - 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} + \frac{44 \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} - 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} + \frac{24 \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} - 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} - \frac{20 i \operatorname{sech}^{4}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} - 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} - \frac{6 i \operatorname{sech}^{2}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} - 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} + \frac{9 i}{36 \tanh^{4}{\left(x \right)} - 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} + 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}}"," ",0,"-36*I*x*tanh(x)**4/(36*tanh(x)**4 - 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 + 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) - 144*x*tanh(x)**3*sech(x)/(36*tanh(x)**4 - 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 + 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) + 216*I*x*tanh(x)**2*sech(x)**2/(36*tanh(x)**4 - 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 + 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) + 144*x*tanh(x)*sech(x)**3/(36*tanh(x)**4 - 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 + 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) - 36*I*x*sech(x)**4/(36*tanh(x)**4 - 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 + 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) - 36*I*log(I*tanh(x) + sech(x))*tanh(x)**4/(36*tanh(x)**4 - 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 + 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) - 144*log(I*tanh(x) + sech(x))*tanh(x)**3*sech(x)/(36*tanh(x)**4 - 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 + 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) + 216*I*log(I*tanh(x) + sech(x))*tanh(x)**2*sech(x)**2/(36*tanh(x)**4 - 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 + 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) + 144*log(I*tanh(x) + sech(x))*tanh(x)*sech(x)**3/(36*tanh(x)**4 - 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 + 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) - 36*I*log(I*tanh(x) + sech(x))*sech(x)**4/(36*tanh(x)**4 - 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 + 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) + 36*I*log(tanh(x) + 1)*tanh(x)**4/(36*tanh(x)**4 - 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 + 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) + 144*log(tanh(x) + 1)*tanh(x)**3*sech(x)/(36*tanh(x)**4 - 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 + 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) - 216*I*log(tanh(x) + 1)*tanh(x)**2*sech(x)**2/(36*tanh(x)**4 - 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 + 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) - 144*log(tanh(x) + 1)*tanh(x)*sech(x)**3/(36*tanh(x)**4 - 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 + 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) + 36*I*log(tanh(x) + 1)*sech(x)**4/(36*tanh(x)**4 - 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 + 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) + 28*I*tanh(x)**4/(36*tanh(x)**4 - 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 + 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) + 52*tanh(x)**3*sech(x)/(36*tanh(x)**4 - 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 + 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) + 18*I*tanh(x)**2/(36*tanh(x)**4 - 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 + 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) + 44*tanh(x)*sech(x)**3/(36*tanh(x)**4 - 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 + 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) + 24*tanh(x)*sech(x)/(36*tanh(x)**4 - 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 + 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) - 20*I*sech(x)**4/(36*tanh(x)**4 - 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 + 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) - 6*I*sech(x)**2/(36*tanh(x)**4 - 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 + 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) + 9*I/(36*tanh(x)**4 - 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 + 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4)","B",0
634,0,0,0,0.000000," ","integrate((sech(x)-I*tanh(x))**5,x)","\int \left(- i \tanh{\left(x \right)} + \operatorname{sech}{\left(x \right)}\right)^{5}\, dx"," ",0,"Integral((-I*tanh(x) + sech(x))**5, x)","F",0
635,0,0,0,0.000000," ","integrate((sech(x)-I*tanh(x))**4,x)","\int \left(- i \tanh{\left(x \right)} + \operatorname{sech}{\left(x \right)}\right)^{4}\, dx"," ",0,"Integral((-I*tanh(x) + sech(x))**4, x)","F",0
636,0,0,0,0.000000," ","integrate((sech(x)-I*tanh(x))**3,x)","\int \left(- i \tanh{\left(x \right)} + \operatorname{sech}{\left(x \right)}\right)^{3}\, dx"," ",0,"Integral((-I*tanh(x) + sech(x))**3, x)","F",0
637,0,0,0,0.000000," ","integrate((sech(x)-I*tanh(x))**2,x)","\int \left(- i \tanh{\left(x \right)} + \operatorname{sech}{\left(x \right)}\right)^{2}\, dx"," ",0,"Integral((-I*tanh(x) + sech(x))**2, x)","F",0
638,0,0,0,0.000000," ","integrate(sech(x)-I*tanh(x),x)","\int \left(- i \tanh{\left(x \right)} + \operatorname{sech}{\left(x \right)}\right)\, dx"," ",0,"Integral(-I*tanh(x) + sech(x), x)","F",0
639,1,22,0,0.321423," ","integrate(1/(sech(x)-I*tanh(x)),x)","i x + i \log{\left(- i \tanh{\left(x \right)} + \operatorname{sech}{\left(x \right)} \right)} - i \log{\left(\tanh{\left(x \right)} + 1 \right)}"," ",0,"I*x + I*log(-I*tanh(x) + sech(x)) - I*log(tanh(x) + 1)","B",0
640,0,0,0,0.000000," ","integrate(1/(sech(x)-I*tanh(x))**2,x)","\int \frac{1}{\left(- i \tanh{\left(x \right)} + \operatorname{sech}{\left(x \right)}\right)^{2}}\, dx"," ",0,"Integral((-I*tanh(x) + sech(x))**(-2), x)","F",0
641,1,432,0,1.789052," ","integrate(1/(sech(x)-I*tanh(x))**3,x)","\frac{2 i x \tanh^{2}{\left(x \right)}}{- 2 \tanh^{2}{\left(x \right)} - 4 i \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)} + 2 \operatorname{sech}^{2}{\left(x \right)}} - \frac{4 x \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)}}{- 2 \tanh^{2}{\left(x \right)} - 4 i \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)} + 2 \operatorname{sech}^{2}{\left(x \right)}} - \frac{2 i x \operatorname{sech}^{2}{\left(x \right)}}{- 2 \tanh^{2}{\left(x \right)} - 4 i \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)} + 2 \operatorname{sech}^{2}{\left(x \right)}} + \frac{2 i \log{\left(- i \tanh{\left(x \right)} + \operatorname{sech}{\left(x \right)} \right)} \tanh^{2}{\left(x \right)}}{- 2 \tanh^{2}{\left(x \right)} - 4 i \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)} + 2 \operatorname{sech}^{2}{\left(x \right)}} - \frac{4 \log{\left(- i \tanh{\left(x \right)} + \operatorname{sech}{\left(x \right)} \right)} \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)}}{- 2 \tanh^{2}{\left(x \right)} - 4 i \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)} + 2 \operatorname{sech}^{2}{\left(x \right)}} - \frac{2 i \log{\left(- i \tanh{\left(x \right)} + \operatorname{sech}{\left(x \right)} \right)} \operatorname{sech}^{2}{\left(x \right)}}{- 2 \tanh^{2}{\left(x \right)} - 4 i \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)} + 2 \operatorname{sech}^{2}{\left(x \right)}} - \frac{2 i \log{\left(\tanh{\left(x \right)} + 1 \right)} \tanh^{2}{\left(x \right)}}{- 2 \tanh^{2}{\left(x \right)} - 4 i \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)} + 2 \operatorname{sech}^{2}{\left(x \right)}} + \frac{4 \log{\left(\tanh{\left(x \right)} + 1 \right)} \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)}}{- 2 \tanh^{2}{\left(x \right)} - 4 i \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)} + 2 \operatorname{sech}^{2}{\left(x \right)}} + \frac{2 i \log{\left(\tanh{\left(x \right)} + 1 \right)} \operatorname{sech}^{2}{\left(x \right)}}{- 2 \tanh^{2}{\left(x \right)} - 4 i \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)} + 2 \operatorname{sech}^{2}{\left(x \right)}} - \frac{i \tanh^{2}{\left(x \right)}}{- 2 \tanh^{2}{\left(x \right)} - 4 i \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)} + 2 \operatorname{sech}^{2}{\left(x \right)}} - \frac{i \operatorname{sech}^{2}{\left(x \right)}}{- 2 \tanh^{2}{\left(x \right)} - 4 i \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)} + 2 \operatorname{sech}^{2}{\left(x \right)}} - \frac{i}{- 2 \tanh^{2}{\left(x \right)} - 4 i \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)} + 2 \operatorname{sech}^{2}{\left(x \right)}}"," ",0,"2*I*x*tanh(x)**2/(-2*tanh(x)**2 - 4*I*tanh(x)*sech(x) + 2*sech(x)**2) - 4*x*tanh(x)*sech(x)/(-2*tanh(x)**2 - 4*I*tanh(x)*sech(x) + 2*sech(x)**2) - 2*I*x*sech(x)**2/(-2*tanh(x)**2 - 4*I*tanh(x)*sech(x) + 2*sech(x)**2) + 2*I*log(-I*tanh(x) + sech(x))*tanh(x)**2/(-2*tanh(x)**2 - 4*I*tanh(x)*sech(x) + 2*sech(x)**2) - 4*log(-I*tanh(x) + sech(x))*tanh(x)*sech(x)/(-2*tanh(x)**2 - 4*I*tanh(x)*sech(x) + 2*sech(x)**2) - 2*I*log(-I*tanh(x) + sech(x))*sech(x)**2/(-2*tanh(x)**2 - 4*I*tanh(x)*sech(x) + 2*sech(x)**2) - 2*I*log(tanh(x) + 1)*tanh(x)**2/(-2*tanh(x)**2 - 4*I*tanh(x)*sech(x) + 2*sech(x)**2) + 4*log(tanh(x) + 1)*tanh(x)*sech(x)/(-2*tanh(x)**2 - 4*I*tanh(x)*sech(x) + 2*sech(x)**2) + 2*I*log(tanh(x) + 1)*sech(x)**2/(-2*tanh(x)**2 - 4*I*tanh(x)*sech(x) + 2*sech(x)**2) - I*tanh(x)**2/(-2*tanh(x)**2 - 4*I*tanh(x)*sech(x) + 2*sech(x)**2) - I*sech(x)**2/(-2*tanh(x)**2 - 4*I*tanh(x)*sech(x) + 2*sech(x)**2) - I/(-2*tanh(x)**2 - 4*I*tanh(x)*sech(x) + 2*sech(x)**2)","B",0
642,0,0,0,0.000000," ","integrate(1/(sech(x)-I*tanh(x))**4,x)","\int \frac{1}{\left(- i \tanh{\left(x \right)} + \operatorname{sech}{\left(x \right)}\right)^{4}}\, dx"," ",0,"Integral((-I*tanh(x) + sech(x))**(-4), x)","F",0
643,1,1445,0,8.385213," ","integrate(1/(sech(x)-I*tanh(x))**5,x)","\frac{36 i x \tanh^{4}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} + 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} - 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} - \frac{144 x \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} + 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} - 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} - \frac{216 i x \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} + 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} - 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} + \frac{144 x \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} + 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} - 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} + \frac{36 i x \operatorname{sech}^{4}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} + 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} - 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} + \frac{36 i \log{\left(- i \tanh{\left(x \right)} + \operatorname{sech}{\left(x \right)} \right)} \tanh^{4}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} + 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} - 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} - \frac{144 \log{\left(- i \tanh{\left(x \right)} + \operatorname{sech}{\left(x \right)} \right)} \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} + 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} - 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} - \frac{216 i \log{\left(- i \tanh{\left(x \right)} + \operatorname{sech}{\left(x \right)} \right)} \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} + 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} - 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} + \frac{144 \log{\left(- i \tanh{\left(x \right)} + \operatorname{sech}{\left(x \right)} \right)} \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} + 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} - 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} + \frac{36 i \log{\left(- i \tanh{\left(x \right)} + \operatorname{sech}{\left(x \right)} \right)} \operatorname{sech}^{4}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} + 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} - 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} - \frac{36 i \log{\left(\tanh{\left(x \right)} + 1 \right)} \tanh^{4}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} + 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} - 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} + \frac{144 \log{\left(\tanh{\left(x \right)} + 1 \right)} \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} + 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} - 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} + \frac{216 i \log{\left(\tanh{\left(x \right)} + 1 \right)} \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} + 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} - 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} - \frac{144 \log{\left(\tanh{\left(x \right)} + 1 \right)} \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} + 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} - 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} - \frac{36 i \log{\left(\tanh{\left(x \right)} + 1 \right)} \operatorname{sech}^{4}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} + 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} - 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} - \frac{28 i \tanh^{4}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} + 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} - 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} + \frac{52 \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} + 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} - 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} - \frac{18 i \tanh^{2}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} + 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} - 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} + \frac{44 \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} + 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} - 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} + \frac{24 \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} + 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} - 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} + \frac{20 i \operatorname{sech}^{4}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} + 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} - 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} + \frac{6 i \operatorname{sech}^{2}{\left(x \right)}}{36 \tanh^{4}{\left(x \right)} + 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} - 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}} - \frac{9 i}{36 \tanh^{4}{\left(x \right)} + 144 i \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)} - 216 \tanh^{2}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)} - 144 i \tanh{\left(x \right)} \operatorname{sech}^{3}{\left(x \right)} + 36 \operatorname{sech}^{4}{\left(x \right)}}"," ",0,"36*I*x*tanh(x)**4/(36*tanh(x)**4 + 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 - 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) - 144*x*tanh(x)**3*sech(x)/(36*tanh(x)**4 + 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 - 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) - 216*I*x*tanh(x)**2*sech(x)**2/(36*tanh(x)**4 + 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 - 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) + 144*x*tanh(x)*sech(x)**3/(36*tanh(x)**4 + 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 - 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) + 36*I*x*sech(x)**4/(36*tanh(x)**4 + 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 - 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) + 36*I*log(-I*tanh(x) + sech(x))*tanh(x)**4/(36*tanh(x)**4 + 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 - 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) - 144*log(-I*tanh(x) + sech(x))*tanh(x)**3*sech(x)/(36*tanh(x)**4 + 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 - 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) - 216*I*log(-I*tanh(x) + sech(x))*tanh(x)**2*sech(x)**2/(36*tanh(x)**4 + 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 - 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) + 144*log(-I*tanh(x) + sech(x))*tanh(x)*sech(x)**3/(36*tanh(x)**4 + 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 - 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) + 36*I*log(-I*tanh(x) + sech(x))*sech(x)**4/(36*tanh(x)**4 + 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 - 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) - 36*I*log(tanh(x) + 1)*tanh(x)**4/(36*tanh(x)**4 + 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 - 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) + 144*log(tanh(x) + 1)*tanh(x)**3*sech(x)/(36*tanh(x)**4 + 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 - 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) + 216*I*log(tanh(x) + 1)*tanh(x)**2*sech(x)**2/(36*tanh(x)**4 + 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 - 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) - 144*log(tanh(x) + 1)*tanh(x)*sech(x)**3/(36*tanh(x)**4 + 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 - 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) - 36*I*log(tanh(x) + 1)*sech(x)**4/(36*tanh(x)**4 + 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 - 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) - 28*I*tanh(x)**4/(36*tanh(x)**4 + 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 - 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) + 52*tanh(x)**3*sech(x)/(36*tanh(x)**4 + 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 - 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) - 18*I*tanh(x)**2/(36*tanh(x)**4 + 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 - 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) + 44*tanh(x)*sech(x)**3/(36*tanh(x)**4 + 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 - 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) + 24*tanh(x)*sech(x)/(36*tanh(x)**4 + 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 - 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) + 20*I*sech(x)**4/(36*tanh(x)**4 + 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 - 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) + 6*I*sech(x)**2/(36*tanh(x)**4 + 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 - 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4) - 9*I/(36*tanh(x)**4 + 144*I*tanh(x)**3*sech(x) - 216*tanh(x)**2*sech(x)**2 - 144*I*tanh(x)*sech(x)**3 + 36*sech(x)**4)","B",0
644,0,0,0,0.000000," ","integrate((a*coth(x)+b*csch(x))**5,x)","\int \left(a \coth{\left(x \right)} + b \operatorname{csch}{\left(x \right)}\right)^{5}\, dx"," ",0,"Integral((a*coth(x) + b*csch(x))**5, x)","F",0
645,0,0,0,0.000000," ","integrate((a*coth(x)+b*csch(x))**4,x)","\int \left(a \coth{\left(x \right)} + b \operatorname{csch}{\left(x \right)}\right)^{4}\, dx"," ",0,"Integral((a*coth(x) + b*csch(x))**4, x)","F",0
646,0,0,0,0.000000," ","integrate((a*coth(x)+b*csch(x))**3,x)","\int \left(a \coth{\left(x \right)} + b \operatorname{csch}{\left(x \right)}\right)^{3}\, dx"," ",0,"Integral((a*coth(x) + b*csch(x))**3, x)","F",0
647,0,0,0,0.000000," ","integrate((a*coth(x)+b*csch(x))**2,x)","\int \left(a \coth{\left(x \right)} + b \operatorname{csch}{\left(x \right)}\right)^{2}\, dx"," ",0,"Integral((a*coth(x) + b*csch(x))**2, x)","F",0
648,0,0,0,0.000000," ","integrate(a*coth(x)+b*csch(x),x)","\int \left(a \coth{\left(x \right)} + b \operatorname{csch}{\left(x \right)}\right)\, dx"," ",0,"Integral(a*coth(x) + b*csch(x), x)","F",0
649,0,0,0,0.000000," ","integrate(1/(a*coth(x)+b*csch(x)),x)","\int \frac{1}{a \coth{\left(x \right)} + b \operatorname{csch}{\left(x \right)}}\, dx"," ",0,"Integral(1/(a*coth(x) + b*csch(x)), x)","F",0
650,0,0,0,0.000000," ","integrate(1/(a*coth(x)+b*csch(x))**2,x)","\int \frac{1}{\left(a \coth{\left(x \right)} + b \operatorname{csch}{\left(x \right)}\right)^{2}}\, dx"," ",0,"Integral((a*coth(x) + b*csch(x))**(-2), x)","F",0
651,0,0,0,0.000000," ","integrate(1/(a*coth(x)+b*csch(x))**3,x)","\int \frac{1}{\left(a \coth{\left(x \right)} + b \operatorname{csch}{\left(x \right)}\right)^{3}}\, dx"," ",0,"Integral((a*coth(x) + b*csch(x))**(-3), x)","F",0
652,0,0,0,0.000000," ","integrate(1/(a*coth(x)+b*csch(x))**4,x)","\int \frac{1}{\left(a \coth{\left(x \right)} + b \operatorname{csch}{\left(x \right)}\right)^{4}}\, dx"," ",0,"Integral((a*coth(x) + b*csch(x))**(-4), x)","F",0
653,0,0,0,0.000000," ","integrate(1/(a*coth(x)+b*csch(x))**5,x)","\int \frac{1}{\left(a \coth{\left(x \right)} + b \operatorname{csch}{\left(x \right)}\right)^{5}}\, dx"," ",0,"Integral((a*coth(x) + b*csch(x))**(-5), x)","F",0
654,0,0,0,0.000000," ","integrate((coth(x)+csch(x))**5,x)","\int \left(\coth{\left(x \right)} + \operatorname{csch}{\left(x \right)}\right)^{5}\, dx"," ",0,"Integral((coth(x) + csch(x))**5, x)","F",0
655,0,0,0,0.000000," ","integrate((coth(x)+csch(x))**4,x)","\int \left(\coth{\left(x \right)} + \operatorname{csch}{\left(x \right)}\right)^{4}\, dx"," ",0,"Integral((coth(x) + csch(x))**4, x)","F",0
656,0,0,0,0.000000," ","integrate((coth(x)+csch(x))**3,x)","\int \left(\coth{\left(x \right)} + \operatorname{csch}{\left(x \right)}\right)^{3}\, dx"," ",0,"Integral((coth(x) + csch(x))**3, x)","F",0
657,0,0,0,0.000000," ","integrate((coth(x)+csch(x))**2,x)","\int \left(\coth{\left(x \right)} + \operatorname{csch}{\left(x \right)}\right)^{2}\, dx"," ",0,"Integral((coth(x) + csch(x))**2, x)","F",0
658,0,0,0,0.000000," ","integrate(coth(x)+csch(x),x)","\int \left(\coth{\left(x \right)} + \operatorname{csch}{\left(x \right)}\right)\, dx"," ",0,"Integral(coth(x) + csch(x), x)","F",0
659,0,0,0,0.000000," ","integrate(1/(coth(x)+csch(x)),x)","\int \frac{1}{\coth{\left(x \right)} + \operatorname{csch}{\left(x \right)}}\, dx"," ",0,"Integral(1/(coth(x) + csch(x)), x)","F",0
660,0,0,0,0.000000," ","integrate(1/(coth(x)+csch(x))**2,x)","\int \frac{1}{\left(\coth{\left(x \right)} + \operatorname{csch}{\left(x \right)}\right)^{2}}\, dx"," ",0,"Integral((coth(x) + csch(x))**(-2), x)","F",0
661,0,0,0,0.000000," ","integrate(1/(coth(x)+csch(x))**3,x)","\int \frac{1}{\left(\coth{\left(x \right)} + \operatorname{csch}{\left(x \right)}\right)^{3}}\, dx"," ",0,"Integral((coth(x) + csch(x))**(-3), x)","F",0
662,0,0,0,0.000000," ","integrate(1/(coth(x)+csch(x))**4,x)","\int \frac{1}{\left(\coth{\left(x \right)} + \operatorname{csch}{\left(x \right)}\right)^{4}}\, dx"," ",0,"Integral((coth(x) + csch(x))**(-4), x)","F",0
663,0,0,0,0.000000," ","integrate(1/(coth(x)+csch(x))**5,x)","\int \frac{1}{\left(\coth{\left(x \right)} + \operatorname{csch}{\left(x \right)}\right)^{5}}\, dx"," ",0,"Integral((coth(x) + csch(x))**(-5), x)","F",0
664,0,0,0,0.000000," ","integrate((-coth(x)+csch(x))**5,x)","- \int 5 \coth{\left(x \right)} \operatorname{csch}^{4}{\left(x \right)}\, dx - \int \left(- 10 \coth^{2}{\left(x \right)} \operatorname{csch}^{3}{\left(x \right)}\right)\, dx - \int 10 \coth^{3}{\left(x \right)} \operatorname{csch}^{2}{\left(x \right)}\, dx - \int \left(- 5 \coth^{4}{\left(x \right)} \operatorname{csch}{\left(x \right)}\right)\, dx - \int \coth^{5}{\left(x \right)}\, dx - \int \left(- \operatorname{csch}^{5}{\left(x \right)}\right)\, dx"," ",0,"-Integral(5*coth(x)*csch(x)**4, x) - Integral(-10*coth(x)**2*csch(x)**3, x) - Integral(10*coth(x)**3*csch(x)**2, x) - Integral(-5*coth(x)**4*csch(x), x) - Integral(coth(x)**5, x) - Integral(-csch(x)**5, x)","F",0
665,0,0,0,0.000000," ","integrate((-coth(x)+csch(x))**4,x)","\int \left(- \coth{\left(x \right)} + \operatorname{csch}{\left(x \right)}\right)^{4}\, dx"," ",0,"Integral((-coth(x) + csch(x))**4, x)","F",0
666,0,0,0,0.000000," ","integrate((-coth(x)+csch(x))**3,x)","- \int 3 \coth{\left(x \right)} \operatorname{csch}^{2}{\left(x \right)}\, dx - \int \left(- 3 \coth^{2}{\left(x \right)} \operatorname{csch}{\left(x \right)}\right)\, dx - \int \coth^{3}{\left(x \right)}\, dx - \int \left(- \operatorname{csch}^{3}{\left(x \right)}\right)\, dx"," ",0,"-Integral(3*coth(x)*csch(x)**2, x) - Integral(-3*coth(x)**2*csch(x), x) - Integral(coth(x)**3, x) - Integral(-csch(x)**3, x)","F",0
667,0,0,0,0.000000," ","integrate((-coth(x)+csch(x))**2,x)","\int \left(- \coth{\left(x \right)} + \operatorname{csch}{\left(x \right)}\right)^{2}\, dx"," ",0,"Integral((-coth(x) + csch(x))**2, x)","F",0
668,0,0,0,0.000000," ","integrate(-coth(x)+csch(x),x)","\int \left(- \coth{\left(x \right)} + \operatorname{csch}{\left(x \right)}\right)\, dx"," ",0,"Integral(-coth(x) + csch(x), x)","F",0
669,0,0,0,0.000000," ","integrate(1/(-coth(x)+csch(x)),x)","- \int \frac{1}{\coth{\left(x \right)} - \operatorname{csch}{\left(x \right)}}\, dx"," ",0,"-Integral(1/(coth(x) - csch(x)), x)","F",0
670,0,0,0,0.000000," ","integrate(1/(-coth(x)+csch(x))**2,x)","\int \frac{1}{\left(- \coth{\left(x \right)} + \operatorname{csch}{\left(x \right)}\right)^{2}}\, dx"," ",0,"Integral((-coth(x) + csch(x))**(-2), x)","F",0
671,0,0,0,0.000000," ","integrate(1/(-coth(x)+csch(x))**3,x)","- \int \frac{1}{\coth^{3}{\left(x \right)} - 3 \coth^{2}{\left(x \right)} \operatorname{csch}{\left(x \right)} + 3 \coth{\left(x \right)} \operatorname{csch}^{2}{\left(x \right)} - \operatorname{csch}^{3}{\left(x \right)}}\, dx"," ",0,"-Integral(1/(coth(x)**3 - 3*coth(x)**2*csch(x) + 3*coth(x)*csch(x)**2 - csch(x)**3), x)","F",0
672,0,0,0,0.000000," ","integrate(1/(-coth(x)+csch(x))**4,x)","\int \frac{1}{\left(- \coth{\left(x \right)} + \operatorname{csch}{\left(x \right)}\right)^{4}}\, dx"," ",0,"Integral((-coth(x) + csch(x))**(-4), x)","F",0
673,0,0,0,0.000000," ","integrate(1/(-coth(x)+csch(x))**5,x)","- \int \frac{1}{\coth^{5}{\left(x \right)} - 5 \coth^{4}{\left(x \right)} \operatorname{csch}{\left(x \right)} + 10 \coth^{3}{\left(x \right)} \operatorname{csch}^{2}{\left(x \right)} - 10 \coth^{2}{\left(x \right)} \operatorname{csch}^{3}{\left(x \right)} + 5 \coth{\left(x \right)} \operatorname{csch}^{4}{\left(x \right)} - \operatorname{csch}^{5}{\left(x \right)}}\, dx"," ",0,"-Integral(1/(coth(x)**5 - 5*coth(x)**4*csch(x) + 10*coth(x)**3*csch(x)**2 - 10*coth(x)**2*csch(x)**3 + 5*coth(x)*csch(x)**4 - csch(x)**5), x)","F",0
674,0,0,0,0.000000," ","integrate(csch(x)+sinh(x),x)","\int \left(\sinh{\left(x \right)} + \operatorname{csch}{\left(x \right)}\right)\, dx"," ",0,"Integral(sinh(x) + csch(x), x)","F",0
675,0,0,0,0.000000," ","integrate((csch(x)+sinh(x))**2,x)","\int \left(\sinh{\left(x \right)} + \operatorname{csch}{\left(x \right)}\right)^{2}\, dx"," ",0,"Integral((sinh(x) + csch(x))**2, x)","F",0
676,0,0,0,0.000000," ","integrate((csch(x)+sinh(x))**3,x)","\int \left(\sinh{\left(x \right)} + \operatorname{csch}{\left(x \right)}\right)^{3}\, dx"," ",0,"Integral((sinh(x) + csch(x))**3, x)","F",0
677,0,0,0,0.000000," ","integrate((csch(x)+sinh(x))**(1/2),x)","\int \sqrt{\sinh{\left(x \right)} + \operatorname{csch}{\left(x \right)}}\, dx"," ",0,"Integral(sqrt(sinh(x) + csch(x)), x)","F",0
678,-1,0,0,0.000000," ","integrate((csch(x)+sinh(x))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
679,-1,0,0,0.000000," ","integrate((csch(x)+sinh(x))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
680,0,0,0,0.000000," ","integrate(-cosh(x)+sech(x),x)","\int \left(- \cosh{\left(x \right)} + \operatorname{sech}{\left(x \right)}\right)\, dx"," ",0,"Integral(-cosh(x) + sech(x), x)","F",0
681,0,0,0,0.000000," ","integrate((-cosh(x)+sech(x))**2,x)","\int \left(- \cosh{\left(x \right)} + \operatorname{sech}{\left(x \right)}\right)^{2}\, dx"," ",0,"Integral((-cosh(x) + sech(x))**2, x)","F",0
682,0,0,0,0.000000," ","integrate((-cosh(x)+sech(x))**3,x)","- \int 3 \cosh{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)}\, dx - \int \left(- 3 \cosh^{2}{\left(x \right)} \operatorname{sech}{\left(x \right)}\right)\, dx - \int \cosh^{3}{\left(x \right)}\, dx - \int \left(- \operatorname{sech}^{3}{\left(x \right)}\right)\, dx"," ",0,"-Integral(3*cosh(x)*sech(x)**2, x) - Integral(-3*cosh(x)**2*sech(x), x) - Integral(cosh(x)**3, x) - Integral(-sech(x)**3, x)","F",0
683,0,0,0,0.000000," ","integrate((-cosh(x)+sech(x))**(1/2),x)","\int \sqrt{- \cosh{\left(x \right)} + \operatorname{sech}{\left(x \right)}}\, dx"," ",0,"Integral(sqrt(-cosh(x) + sech(x)), x)","F",0
684,0,0,0,0.000000," ","integrate((-cosh(x)+sech(x))**(3/2),x)","\int \left(- \cosh{\left(x \right)} + \operatorname{sech}{\left(x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((-cosh(x) + sech(x))**(3/2), x)","F",0
685,-1,0,0,0.000000," ","integrate((-cosh(x)+sech(x))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
686,0,0,0,0.000000," ","integrate(1/(sinh(x)+tanh(x)),x)","\int \frac{1}{\sinh{\left(x \right)} + \tanh{\left(x \right)}}\, dx"," ",0,"Integral(1/(sinh(x) + tanh(x)), x)","F",0
687,0,0,0,0.000000," ","integrate(1/(sinh(x)-tanh(x)),x)","\int \frac{1}{\sinh{\left(x \right)} - \tanh{\left(x \right)}}\, dx"," ",0,"Integral(1/(sinh(x) - tanh(x)), x)","F",0
688,1,143,0,0.552025," ","integrate(sinh(x)/(a*cosh(x)+b*sinh(x)),x)","\begin{cases} \tilde{\infty} x & \text{for}\: a = 0 \wedge b = 0 \\\frac{x}{b} & \text{for}\: a = 0 \\- \frac{x \sinh{\left(x \right)}}{- 2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} + \frac{x \cosh{\left(x \right)}}{- 2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} - \frac{\cosh{\left(x \right)}}{- 2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} & \text{for}\: a = - b \\\frac{x \sinh{\left(x \right)}}{2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} + \frac{x \cosh{\left(x \right)}}{2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} + \frac{\cosh{\left(x \right)}}{2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} & \text{for}\: a = b \\\frac{a \log{\left(\cosh{\left(x \right)} + \frac{b \sinh{\left(x \right)}}{a} \right)}}{a^{2} - b^{2}} - \frac{b x}{a^{2} - b^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x, Eq(a, 0) & Eq(b, 0)), (x/b, Eq(a, 0)), (-x*sinh(x)/(-2*b*sinh(x) + 2*b*cosh(x)) + x*cosh(x)/(-2*b*sinh(x) + 2*b*cosh(x)) - cosh(x)/(-2*b*sinh(x) + 2*b*cosh(x)), Eq(a, -b)), (x*sinh(x)/(2*b*sinh(x) + 2*b*cosh(x)) + x*cosh(x)/(2*b*sinh(x) + 2*b*cosh(x)) + cosh(x)/(2*b*sinh(x) + 2*b*cosh(x)), Eq(a, b)), (a*log(cosh(x) + b*sinh(x)/a)/(a**2 - b**2) - b*x/(a**2 - b**2), True))","A",0
689,-1,0,0,0.000000," ","integrate(sinh(x)**2/(a*cosh(x)+b*sinh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
690,-1,0,0,0.000000," ","integrate(sinh(x)**3/(a*cosh(x)+b*sinh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
691,1,150,0,0.577815," ","integrate(cosh(x)/(a*cosh(x)+b*sinh(x)),x)","\begin{cases} \tilde{\infty} \log{\left(\sinh{\left(x \right)} \right)} & \text{for}\: a = 0 \wedge b = 0 \\\frac{\log{\left(\sinh{\left(x \right)} \right)}}{b} & \text{for}\: a = 0 \\\frac{x \sinh{\left(x \right)}}{- 2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} - \frac{x \cosh{\left(x \right)}}{- 2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} - \frac{\cosh{\left(x \right)}}{- 2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} & \text{for}\: a = - b \\\frac{x \sinh{\left(x \right)}}{2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} + \frac{x \cosh{\left(x \right)}}{2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} - \frac{\cosh{\left(x \right)}}{2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} & \text{for}\: a = b \\\frac{a x}{a^{2} - b^{2}} - \frac{b \log{\left(\cosh{\left(x \right)} + \frac{b \sinh{\left(x \right)}}{a} \right)}}{a^{2} - b^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*log(sinh(x)), Eq(a, 0) & Eq(b, 0)), (log(sinh(x))/b, Eq(a, 0)), (x*sinh(x)/(-2*b*sinh(x) + 2*b*cosh(x)) - x*cosh(x)/(-2*b*sinh(x) + 2*b*cosh(x)) - cosh(x)/(-2*b*sinh(x) + 2*b*cosh(x)), Eq(a, -b)), (x*sinh(x)/(2*b*sinh(x) + 2*b*cosh(x)) + x*cosh(x)/(2*b*sinh(x) + 2*b*cosh(x)) - cosh(x)/(2*b*sinh(x) + 2*b*cosh(x)), Eq(a, b)), (a*x/(a**2 - b**2) - b*log(cosh(x) + b*sinh(x)/a)/(a**2 - b**2), True))","A",0
692,-1,0,0,0.000000," ","integrate(cosh(x)**2/(a*cosh(x)+b*sinh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
693,-1,0,0,0.000000," ","integrate(cosh(x)**3/(a*cosh(x)+b*sinh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
694,0,0,0,0.000000," ","integrate(tanh(x)/(b*cosh(x)+a*sinh(x)),x)","\int \frac{\tanh{\left(x \right)}}{a \sinh{\left(x \right)} + b \cosh{\left(x \right)}}\, dx"," ",0,"Integral(tanh(x)/(a*sinh(x) + b*cosh(x)), x)","F",0
695,0,0,0,0.000000," ","integrate(coth(x)/(b*cosh(x)+a*sinh(x)),x)","\int \frac{\coth{\left(x \right)}}{a \sinh{\left(x \right)} + b \cosh{\left(x \right)}}\, dx"," ",0,"Integral(coth(x)/(a*sinh(x) + b*cosh(x)), x)","F",0
696,-1,0,0,0.000000," ","integrate(sinh(x)/(a*cosh(x)+b*sinh(x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
697,1,983,0,1.424444," ","integrate(sinh(x)**2/(a*cosh(x)+b*sinh(x))**2,x)","\begin{cases} \tilde{\infty} x & \text{for}\: a = 0 \wedge b = 0 \\\frac{2 x \sinh^{2}{\left(x \right)}}{8 b^{2} \sinh^{2}{\left(x \right)} - 16 b^{2} \sinh{\left(x \right)} \cosh{\left(x \right)} + 8 b^{2} \cosh^{2}{\left(x \right)}} - \frac{4 x \sinh{\left(x \right)} \cosh{\left(x \right)}}{8 b^{2} \sinh^{2}{\left(x \right)} - 16 b^{2} \sinh{\left(x \right)} \cosh{\left(x \right)} + 8 b^{2} \cosh^{2}{\left(x \right)}} + \frac{2 x \cosh^{2}{\left(x \right)}}{8 b^{2} \sinh^{2}{\left(x \right)} - 16 b^{2} \sinh{\left(x \right)} \cosh{\left(x \right)} + 8 b^{2} \cosh^{2}{\left(x \right)}} + \frac{3 \sinh^{2}{\left(x \right)}}{8 b^{2} \sinh^{2}{\left(x \right)} - 16 b^{2} \sinh{\left(x \right)} \cosh{\left(x \right)} + 8 b^{2} \cosh^{2}{\left(x \right)}} - \frac{\cosh^{2}{\left(x \right)}}{8 b^{2} \sinh^{2}{\left(x \right)} - 16 b^{2} \sinh{\left(x \right)} \cosh{\left(x \right)} + 8 b^{2} \cosh^{2}{\left(x \right)}} & \text{for}\: a = - b \\\frac{2 x \sinh^{2}{\left(x \right)}}{8 b^{2} \sinh^{2}{\left(x \right)} + 16 b^{2} \sinh{\left(x \right)} \cosh{\left(x \right)} + 8 b^{2} \cosh^{2}{\left(x \right)}} + \frac{4 x \sinh{\left(x \right)} \cosh{\left(x \right)}}{8 b^{2} \sinh^{2}{\left(x \right)} + 16 b^{2} \sinh{\left(x \right)} \cosh{\left(x \right)} + 8 b^{2} \cosh^{2}{\left(x \right)}} + \frac{2 x \cosh^{2}{\left(x \right)}}{8 b^{2} \sinh^{2}{\left(x \right)} + 16 b^{2} \sinh{\left(x \right)} \cosh{\left(x \right)} + 8 b^{2} \cosh^{2}{\left(x \right)}} - \frac{3 \sinh^{2}{\left(x \right)}}{8 b^{2} \sinh^{2}{\left(x \right)} + 16 b^{2} \sinh{\left(x \right)} \cosh{\left(x \right)} + 8 b^{2} \cosh^{2}{\left(x \right)}} + \frac{\cosh^{2}{\left(x \right)}}{8 b^{2} \sinh^{2}{\left(x \right)} + 16 b^{2} \sinh{\left(x \right)} \cosh{\left(x \right)} + 8 b^{2} \cosh^{2}{\left(x \right)}} & \text{for}\: a = b \\\frac{x - \frac{\sinh{\left(x \right)}}{\cosh{\left(x \right)}}}{a^{2}} & \text{for}\: b = 0 \\\frac{x}{b^{2}} & \text{for}\: a = 0 \\\frac{a^{4} \cosh{\left(x \right)}}{a^{5} b \cosh{\left(x \right)} + a^{4} b^{2} \sinh{\left(x \right)} - 2 a^{3} b^{3} \cosh{\left(x \right)} - 2 a^{2} b^{4} \sinh{\left(x \right)} + a b^{5} \cosh{\left(x \right)} + b^{6} \sinh{\left(x \right)}} + \frac{a^{3} b x \cosh{\left(x \right)}}{a^{5} b \cosh{\left(x \right)} + a^{4} b^{2} \sinh{\left(x \right)} - 2 a^{3} b^{3} \cosh{\left(x \right)} - 2 a^{2} b^{4} \sinh{\left(x \right)} + a b^{5} \cosh{\left(x \right)} + b^{6} \sinh{\left(x \right)}} + \frac{a^{2} b^{2} x \sinh{\left(x \right)}}{a^{5} b \cosh{\left(x \right)} + a^{4} b^{2} \sinh{\left(x \right)} - 2 a^{3} b^{3} \cosh{\left(x \right)} - 2 a^{2} b^{4} \sinh{\left(x \right)} + a b^{5} \cosh{\left(x \right)} + b^{6} \sinh{\left(x \right)}} - \frac{2 a^{2} b^{2} \log{\left(\cosh{\left(x \right)} + \frac{b \sinh{\left(x \right)}}{a} \right)} \cosh{\left(x \right)}}{a^{5} b \cosh{\left(x \right)} + a^{4} b^{2} \sinh{\left(x \right)} - 2 a^{3} b^{3} \cosh{\left(x \right)} - 2 a^{2} b^{4} \sinh{\left(x \right)} + a b^{5} \cosh{\left(x \right)} + b^{6} \sinh{\left(x \right)}} - \frac{a^{2} b^{2} \cosh{\left(x \right)}}{a^{5} b \cosh{\left(x \right)} + a^{4} b^{2} \sinh{\left(x \right)} - 2 a^{3} b^{3} \cosh{\left(x \right)} - 2 a^{2} b^{4} \sinh{\left(x \right)} + a b^{5} \cosh{\left(x \right)} + b^{6} \sinh{\left(x \right)}} + \frac{a b^{3} x \cosh{\left(x \right)}}{a^{5} b \cosh{\left(x \right)} + a^{4} b^{2} \sinh{\left(x \right)} - 2 a^{3} b^{3} \cosh{\left(x \right)} - 2 a^{2} b^{4} \sinh{\left(x \right)} + a b^{5} \cosh{\left(x \right)} + b^{6} \sinh{\left(x \right)}} - \frac{2 a b^{3} \log{\left(\cosh{\left(x \right)} + \frac{b \sinh{\left(x \right)}}{a} \right)} \sinh{\left(x \right)}}{a^{5} b \cosh{\left(x \right)} + a^{4} b^{2} \sinh{\left(x \right)} - 2 a^{3} b^{3} \cosh{\left(x \right)} - 2 a^{2} b^{4} \sinh{\left(x \right)} + a b^{5} \cosh{\left(x \right)} + b^{6} \sinh{\left(x \right)}} + \frac{b^{4} x \sinh{\left(x \right)}}{a^{5} b \cosh{\left(x \right)} + a^{4} b^{2} \sinh{\left(x \right)} - 2 a^{3} b^{3} \cosh{\left(x \right)} - 2 a^{2} b^{4} \sinh{\left(x \right)} + a b^{5} \cosh{\left(x \right)} + b^{6} \sinh{\left(x \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x, Eq(a, 0) & Eq(b, 0)), (2*x*sinh(x)**2/(8*b**2*sinh(x)**2 - 16*b**2*sinh(x)*cosh(x) + 8*b**2*cosh(x)**2) - 4*x*sinh(x)*cosh(x)/(8*b**2*sinh(x)**2 - 16*b**2*sinh(x)*cosh(x) + 8*b**2*cosh(x)**2) + 2*x*cosh(x)**2/(8*b**2*sinh(x)**2 - 16*b**2*sinh(x)*cosh(x) + 8*b**2*cosh(x)**2) + 3*sinh(x)**2/(8*b**2*sinh(x)**2 - 16*b**2*sinh(x)*cosh(x) + 8*b**2*cosh(x)**2) - cosh(x)**2/(8*b**2*sinh(x)**2 - 16*b**2*sinh(x)*cosh(x) + 8*b**2*cosh(x)**2), Eq(a, -b)), (2*x*sinh(x)**2/(8*b**2*sinh(x)**2 + 16*b**2*sinh(x)*cosh(x) + 8*b**2*cosh(x)**2) + 4*x*sinh(x)*cosh(x)/(8*b**2*sinh(x)**2 + 16*b**2*sinh(x)*cosh(x) + 8*b**2*cosh(x)**2) + 2*x*cosh(x)**2/(8*b**2*sinh(x)**2 + 16*b**2*sinh(x)*cosh(x) + 8*b**2*cosh(x)**2) - 3*sinh(x)**2/(8*b**2*sinh(x)**2 + 16*b**2*sinh(x)*cosh(x) + 8*b**2*cosh(x)**2) + cosh(x)**2/(8*b**2*sinh(x)**2 + 16*b**2*sinh(x)*cosh(x) + 8*b**2*cosh(x)**2), Eq(a, b)), ((x - sinh(x)/cosh(x))/a**2, Eq(b, 0)), (x/b**2, Eq(a, 0)), (a**4*cosh(x)/(a**5*b*cosh(x) + a**4*b**2*sinh(x) - 2*a**3*b**3*cosh(x) - 2*a**2*b**4*sinh(x) + a*b**5*cosh(x) + b**6*sinh(x)) + a**3*b*x*cosh(x)/(a**5*b*cosh(x) + a**4*b**2*sinh(x) - 2*a**3*b**3*cosh(x) - 2*a**2*b**4*sinh(x) + a*b**5*cosh(x) + b**6*sinh(x)) + a**2*b**2*x*sinh(x)/(a**5*b*cosh(x) + a**4*b**2*sinh(x) - 2*a**3*b**3*cosh(x) - 2*a**2*b**4*sinh(x) + a*b**5*cosh(x) + b**6*sinh(x)) - 2*a**2*b**2*log(cosh(x) + b*sinh(x)/a)*cosh(x)/(a**5*b*cosh(x) + a**4*b**2*sinh(x) - 2*a**3*b**3*cosh(x) - 2*a**2*b**4*sinh(x) + a*b**5*cosh(x) + b**6*sinh(x)) - a**2*b**2*cosh(x)/(a**5*b*cosh(x) + a**4*b**2*sinh(x) - 2*a**3*b**3*cosh(x) - 2*a**2*b**4*sinh(x) + a*b**5*cosh(x) + b**6*sinh(x)) + a*b**3*x*cosh(x)/(a**5*b*cosh(x) + a**4*b**2*sinh(x) - 2*a**3*b**3*cosh(x) - 2*a**2*b**4*sinh(x) + a*b**5*cosh(x) + b**6*sinh(x)) - 2*a*b**3*log(cosh(x) + b*sinh(x)/a)*sinh(x)/(a**5*b*cosh(x) + a**4*b**2*sinh(x) - 2*a**3*b**3*cosh(x) - 2*a**2*b**4*sinh(x) + a*b**5*cosh(x) + b**6*sinh(x)) + b**4*x*sinh(x)/(a**5*b*cosh(x) + a**4*b**2*sinh(x) - 2*a**3*b**3*cosh(x) - 2*a**2*b**4*sinh(x) + a*b**5*cosh(x) + b**6*sinh(x)), True))","A",0
698,-1,0,0,0.000000," ","integrate(sinh(x)**3/(a*cosh(x)+b*sinh(x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
699,-1,0,0,0.000000," ","integrate(cosh(x)/(a*cosh(x)+b*sinh(x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
700,1,952,0,1.487848," ","integrate(cosh(x)**2/(a*cosh(x)+b*sinh(x))**2,x)","\begin{cases} \tilde{\infty} \left(x - \frac{\cosh{\left(x \right)}}{\sinh{\left(x \right)}}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{2 x \sinh^{2}{\left(x \right)}}{8 b^{2} \sinh^{2}{\left(x \right)} - 16 b^{2} \sinh{\left(x \right)} \cosh{\left(x \right)} + 8 b^{2} \cosh^{2}{\left(x \right)}} - \frac{4 x \sinh{\left(x \right)} \cosh{\left(x \right)}}{8 b^{2} \sinh^{2}{\left(x \right)} - 16 b^{2} \sinh{\left(x \right)} \cosh{\left(x \right)} + 8 b^{2} \cosh^{2}{\left(x \right)}} + \frac{2 x \cosh^{2}{\left(x \right)}}{8 b^{2} \sinh^{2}{\left(x \right)} - 16 b^{2} \sinh{\left(x \right)} \cosh{\left(x \right)} + 8 b^{2} \cosh^{2}{\left(x \right)}} - \frac{\sinh^{2}{\left(x \right)}}{8 b^{2} \sinh^{2}{\left(x \right)} - 16 b^{2} \sinh{\left(x \right)} \cosh{\left(x \right)} + 8 b^{2} \cosh^{2}{\left(x \right)}} + \frac{3 \cosh^{2}{\left(x \right)}}{8 b^{2} \sinh^{2}{\left(x \right)} - 16 b^{2} \sinh{\left(x \right)} \cosh{\left(x \right)} + 8 b^{2} \cosh^{2}{\left(x \right)}} & \text{for}\: a = - b \\\frac{2 x \sinh^{2}{\left(x \right)}}{8 b^{2} \sinh^{2}{\left(x \right)} + 16 b^{2} \sinh{\left(x \right)} \cosh{\left(x \right)} + 8 b^{2} \cosh^{2}{\left(x \right)}} + \frac{4 x \sinh{\left(x \right)} \cosh{\left(x \right)}}{8 b^{2} \sinh^{2}{\left(x \right)} + 16 b^{2} \sinh{\left(x \right)} \cosh{\left(x \right)} + 8 b^{2} \cosh^{2}{\left(x \right)}} + \frac{2 x \cosh^{2}{\left(x \right)}}{8 b^{2} \sinh^{2}{\left(x \right)} + 16 b^{2} \sinh{\left(x \right)} \cosh{\left(x \right)} + 8 b^{2} \cosh^{2}{\left(x \right)}} + \frac{\sinh^{2}{\left(x \right)}}{8 b^{2} \sinh^{2}{\left(x \right)} + 16 b^{2} \sinh{\left(x \right)} \cosh{\left(x \right)} + 8 b^{2} \cosh^{2}{\left(x \right)}} - \frac{3 \cosh^{2}{\left(x \right)}}{8 b^{2} \sinh^{2}{\left(x \right)} + 16 b^{2} \sinh{\left(x \right)} \cosh{\left(x \right)} + 8 b^{2} \cosh^{2}{\left(x \right)}} & \text{for}\: a = b \\\frac{x - \frac{\cosh{\left(x \right)}}{\sinh{\left(x \right)}}}{b^{2}} & \text{for}\: a = 0 \\\frac{a^{3} x \cosh{\left(x \right)}}{a^{5} \cosh{\left(x \right)} + a^{4} b \sinh{\left(x \right)} - 2 a^{3} b^{2} \cosh{\left(x \right)} - 2 a^{2} b^{3} \sinh{\left(x \right)} + a b^{4} \cosh{\left(x \right)} + b^{5} \sinh{\left(x \right)}} + \frac{a^{2} b x \sinh{\left(x \right)}}{a^{5} \cosh{\left(x \right)} + a^{4} b \sinh{\left(x \right)} - 2 a^{3} b^{2} \cosh{\left(x \right)} - 2 a^{2} b^{3} \sinh{\left(x \right)} + a b^{4} \cosh{\left(x \right)} + b^{5} \sinh{\left(x \right)}} - \frac{2 a^{2} b \log{\left(\cosh{\left(x \right)} + \frac{b \sinh{\left(x \right)}}{a} \right)} \cosh{\left(x \right)}}{a^{5} \cosh{\left(x \right)} + a^{4} b \sinh{\left(x \right)} - 2 a^{3} b^{2} \cosh{\left(x \right)} - 2 a^{2} b^{3} \sinh{\left(x \right)} + a b^{4} \cosh{\left(x \right)} + b^{5} \sinh{\left(x \right)}} + \frac{a^{2} b \cosh{\left(x \right)}}{a^{5} \cosh{\left(x \right)} + a^{4} b \sinh{\left(x \right)} - 2 a^{3} b^{2} \cosh{\left(x \right)} - 2 a^{2} b^{3} \sinh{\left(x \right)} + a b^{4} \cosh{\left(x \right)} + b^{5} \sinh{\left(x \right)}} + \frac{a b^{2} x \cosh{\left(x \right)}}{a^{5} \cosh{\left(x \right)} + a^{4} b \sinh{\left(x \right)} - 2 a^{3} b^{2} \cosh{\left(x \right)} - 2 a^{2} b^{3} \sinh{\left(x \right)} + a b^{4} \cosh{\left(x \right)} + b^{5} \sinh{\left(x \right)}} - \frac{2 a b^{2} \log{\left(\cosh{\left(x \right)} + \frac{b \sinh{\left(x \right)}}{a} \right)} \sinh{\left(x \right)}}{a^{5} \cosh{\left(x \right)} + a^{4} b \sinh{\left(x \right)} - 2 a^{3} b^{2} \cosh{\left(x \right)} - 2 a^{2} b^{3} \sinh{\left(x \right)} + a b^{4} \cosh{\left(x \right)} + b^{5} \sinh{\left(x \right)}} + \frac{b^{3} x \sinh{\left(x \right)}}{a^{5} \cosh{\left(x \right)} + a^{4} b \sinh{\left(x \right)} - 2 a^{3} b^{2} \cosh{\left(x \right)} - 2 a^{2} b^{3} \sinh{\left(x \right)} + a b^{4} \cosh{\left(x \right)} + b^{5} \sinh{\left(x \right)}} - \frac{b^{3} \cosh{\left(x \right)}}{a^{5} \cosh{\left(x \right)} + a^{4} b \sinh{\left(x \right)} - 2 a^{3} b^{2} \cosh{\left(x \right)} - 2 a^{2} b^{3} \sinh{\left(x \right)} + a b^{4} \cosh{\left(x \right)} + b^{5} \sinh{\left(x \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(x - cosh(x)/sinh(x)), Eq(a, 0) & Eq(b, 0)), (2*x*sinh(x)**2/(8*b**2*sinh(x)**2 - 16*b**2*sinh(x)*cosh(x) + 8*b**2*cosh(x)**2) - 4*x*sinh(x)*cosh(x)/(8*b**2*sinh(x)**2 - 16*b**2*sinh(x)*cosh(x) + 8*b**2*cosh(x)**2) + 2*x*cosh(x)**2/(8*b**2*sinh(x)**2 - 16*b**2*sinh(x)*cosh(x) + 8*b**2*cosh(x)**2) - sinh(x)**2/(8*b**2*sinh(x)**2 - 16*b**2*sinh(x)*cosh(x) + 8*b**2*cosh(x)**2) + 3*cosh(x)**2/(8*b**2*sinh(x)**2 - 16*b**2*sinh(x)*cosh(x) + 8*b**2*cosh(x)**2), Eq(a, -b)), (2*x*sinh(x)**2/(8*b**2*sinh(x)**2 + 16*b**2*sinh(x)*cosh(x) + 8*b**2*cosh(x)**2) + 4*x*sinh(x)*cosh(x)/(8*b**2*sinh(x)**2 + 16*b**2*sinh(x)*cosh(x) + 8*b**2*cosh(x)**2) + 2*x*cosh(x)**2/(8*b**2*sinh(x)**2 + 16*b**2*sinh(x)*cosh(x) + 8*b**2*cosh(x)**2) + sinh(x)**2/(8*b**2*sinh(x)**2 + 16*b**2*sinh(x)*cosh(x) + 8*b**2*cosh(x)**2) - 3*cosh(x)**2/(8*b**2*sinh(x)**2 + 16*b**2*sinh(x)*cosh(x) + 8*b**2*cosh(x)**2), Eq(a, b)), ((x - cosh(x)/sinh(x))/b**2, Eq(a, 0)), (a**3*x*cosh(x)/(a**5*cosh(x) + a**4*b*sinh(x) - 2*a**3*b**2*cosh(x) - 2*a**2*b**3*sinh(x) + a*b**4*cosh(x) + b**5*sinh(x)) + a**2*b*x*sinh(x)/(a**5*cosh(x) + a**4*b*sinh(x) - 2*a**3*b**2*cosh(x) - 2*a**2*b**3*sinh(x) + a*b**4*cosh(x) + b**5*sinh(x)) - 2*a**2*b*log(cosh(x) + b*sinh(x)/a)*cosh(x)/(a**5*cosh(x) + a**4*b*sinh(x) - 2*a**3*b**2*cosh(x) - 2*a**2*b**3*sinh(x) + a*b**4*cosh(x) + b**5*sinh(x)) + a**2*b*cosh(x)/(a**5*cosh(x) + a**4*b*sinh(x) - 2*a**3*b**2*cosh(x) - 2*a**2*b**3*sinh(x) + a*b**4*cosh(x) + b**5*sinh(x)) + a*b**2*x*cosh(x)/(a**5*cosh(x) + a**4*b*sinh(x) - 2*a**3*b**2*cosh(x) - 2*a**2*b**3*sinh(x) + a*b**4*cosh(x) + b**5*sinh(x)) - 2*a*b**2*log(cosh(x) + b*sinh(x)/a)*sinh(x)/(a**5*cosh(x) + a**4*b*sinh(x) - 2*a**3*b**2*cosh(x) - 2*a**2*b**3*sinh(x) + a*b**4*cosh(x) + b**5*sinh(x)) + b**3*x*sinh(x)/(a**5*cosh(x) + a**4*b*sinh(x) - 2*a**3*b**2*cosh(x) - 2*a**2*b**3*sinh(x) + a*b**4*cosh(x) + b**5*sinh(x)) - b**3*cosh(x)/(a**5*cosh(x) + a**4*b*sinh(x) - 2*a**3*b**2*cosh(x) - 2*a**2*b**3*sinh(x) + a*b**4*cosh(x) + b**5*sinh(x)), True))","A",0
701,-1,0,0,0.000000," ","integrate(cosh(x)**3/(a*cosh(x)+b*sinh(x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
702,-1,0,0,0.000000," ","integrate(sinh(x)/(a*cosh(x)+b*sinh(x))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
703,1,3813,0,4.090847," ","integrate(sinh(x)**3/(a*cosh(x)+b*sinh(x))**3,x)","\begin{cases} \tilde{\infty} x & \text{for}\: a = 0 \wedge b = 0 \\- \frac{3 x \sinh^{3}{\left(x \right)}}{- 24 b^{3} \sinh^{3}{\left(x \right)} + 72 b^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)} - 72 b^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)} + 24 b^{3} \cosh^{3}{\left(x \right)}} + \frac{9 x \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{- 24 b^{3} \sinh^{3}{\left(x \right)} + 72 b^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)} - 72 b^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)} + 24 b^{3} \cosh^{3}{\left(x \right)}} - \frac{9 x \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{- 24 b^{3} \sinh^{3}{\left(x \right)} + 72 b^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)} - 72 b^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)} + 24 b^{3} \cosh^{3}{\left(x \right)}} + \frac{3 x \cosh^{3}{\left(x \right)}}{- 24 b^{3} \sinh^{3}{\left(x \right)} + 72 b^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)} - 72 b^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)} + 24 b^{3} \cosh^{3}{\left(x \right)}} - \frac{7 \sinh^{3}{\left(x \right)}}{- 24 b^{3} \sinh^{3}{\left(x \right)} + 72 b^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)} - 72 b^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)} + 24 b^{3} \cosh^{3}{\left(x \right)}} + \frac{6 \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{- 24 b^{3} \sinh^{3}{\left(x \right)} + 72 b^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)} - 72 b^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)} + 24 b^{3} \cosh^{3}{\left(x \right)}} - \frac{3 \cosh^{3}{\left(x \right)}}{- 24 b^{3} \sinh^{3}{\left(x \right)} + 72 b^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)} - 72 b^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)} + 24 b^{3} \cosh^{3}{\left(x \right)}} & \text{for}\: a = - b \\\frac{3 x \sinh^{3}{\left(x \right)}}{24 b^{3} \sinh^{3}{\left(x \right)} + 72 b^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)} + 72 b^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)} + 24 b^{3} \cosh^{3}{\left(x \right)}} + \frac{9 x \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{24 b^{3} \sinh^{3}{\left(x \right)} + 72 b^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)} + 72 b^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)} + 24 b^{3} \cosh^{3}{\left(x \right)}} + \frac{9 x \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{24 b^{3} \sinh^{3}{\left(x \right)} + 72 b^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)} + 72 b^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)} + 24 b^{3} \cosh^{3}{\left(x \right)}} + \frac{3 x \cosh^{3}{\left(x \right)}}{24 b^{3} \sinh^{3}{\left(x \right)} + 72 b^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)} + 72 b^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)} + 24 b^{3} \cosh^{3}{\left(x \right)}} - \frac{7 \sinh^{3}{\left(x \right)}}{24 b^{3} \sinh^{3}{\left(x \right)} + 72 b^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)} + 72 b^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)} + 24 b^{3} \cosh^{3}{\left(x \right)}} + \frac{6 \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{24 b^{3} \sinh^{3}{\left(x \right)} + 72 b^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)} + 72 b^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)} + 24 b^{3} \cosh^{3}{\left(x \right)}} + \frac{3 \cosh^{3}{\left(x \right)}}{24 b^{3} \sinh^{3}{\left(x \right)} + 72 b^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)} + 72 b^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)} + 24 b^{3} \cosh^{3}{\left(x \right)}} & \text{for}\: a = b \\\frac{x}{b^{3}} & \text{for}\: a = 0 \\\frac{2 a^{5} \log{\left(\cosh{\left(x \right)} + \frac{b \sinh{\left(x \right)}}{a} \right)} \cosh^{2}{\left(x \right)}}{2 a^{8} \cosh^{2}{\left(x \right)} + 4 a^{7} b \sinh{\left(x \right)} \cosh{\left(x \right)} + 2 a^{6} b^{2} \sinh^{2}{\left(x \right)} - 6 a^{6} b^{2} \cosh^{2}{\left(x \right)} - 12 a^{5} b^{3} \sinh{\left(x \right)} \cosh{\left(x \right)} - 6 a^{4} b^{4} \sinh^{2}{\left(x \right)} + 6 a^{4} b^{4} \cosh^{2}{\left(x \right)} + 12 a^{3} b^{5} \sinh{\left(x \right)} \cosh{\left(x \right)} + 6 a^{2} b^{6} \sinh^{2}{\left(x \right)} - 2 a^{2} b^{6} \cosh^{2}{\left(x \right)} - 4 a b^{7} \sinh{\left(x \right)} \cosh{\left(x \right)} - 2 b^{8} \sinh^{2}{\left(x \right)}} - \frac{a^{5} \sinh^{2}{\left(x \right)}}{2 a^{8} \cosh^{2}{\left(x \right)} + 4 a^{7} b \sinh{\left(x \right)} \cosh{\left(x \right)} + 2 a^{6} b^{2} \sinh^{2}{\left(x \right)} - 6 a^{6} b^{2} \cosh^{2}{\left(x \right)} - 12 a^{5} b^{3} \sinh{\left(x \right)} \cosh{\left(x \right)} - 6 a^{4} b^{4} \sinh^{2}{\left(x \right)} + 6 a^{4} b^{4} \cosh^{2}{\left(x \right)} + 12 a^{3} b^{5} \sinh{\left(x \right)} \cosh{\left(x \right)} + 6 a^{2} b^{6} \sinh^{2}{\left(x \right)} - 2 a^{2} b^{6} \cosh^{2}{\left(x \right)} - 4 a b^{7} \sinh{\left(x \right)} \cosh{\left(x \right)} - 2 b^{8} \sinh^{2}{\left(x \right)}} - \frac{2 a^{5} \cosh^{2}{\left(x \right)}}{2 a^{8} \cosh^{2}{\left(x \right)} + 4 a^{7} b \sinh{\left(x \right)} \cosh{\left(x \right)} + 2 a^{6} b^{2} \sinh^{2}{\left(x \right)} - 6 a^{6} b^{2} \cosh^{2}{\left(x \right)} - 12 a^{5} b^{3} \sinh{\left(x \right)} \cosh{\left(x \right)} - 6 a^{4} b^{4} \sinh^{2}{\left(x \right)} + 6 a^{4} b^{4} \cosh^{2}{\left(x \right)} + 12 a^{3} b^{5} \sinh{\left(x \right)} \cosh{\left(x \right)} + 6 a^{2} b^{6} \sinh^{2}{\left(x \right)} - 2 a^{2} b^{6} \cosh^{2}{\left(x \right)} - 4 a b^{7} \sinh{\left(x \right)} \cosh{\left(x \right)} - 2 b^{8} \sinh^{2}{\left(x \right)}} - \frac{6 a^{4} b x \cosh^{2}{\left(x \right)}}{2 a^{8} \cosh^{2}{\left(x \right)} + 4 a^{7} b \sinh{\left(x \right)} \cosh{\left(x \right)} + 2 a^{6} b^{2} \sinh^{2}{\left(x \right)} - 6 a^{6} b^{2} \cosh^{2}{\left(x \right)} - 12 a^{5} b^{3} \sinh{\left(x \right)} \cosh{\left(x \right)} - 6 a^{4} b^{4} \sinh^{2}{\left(x \right)} + 6 a^{4} b^{4} \cosh^{2}{\left(x \right)} + 12 a^{3} b^{5} \sinh{\left(x \right)} \cosh{\left(x \right)} + 6 a^{2} b^{6} \sinh^{2}{\left(x \right)} - 2 a^{2} b^{6} \cosh^{2}{\left(x \right)} - 4 a b^{7} \sinh{\left(x \right)} \cosh{\left(x \right)} - 2 b^{8} \sinh^{2}{\left(x \right)}} + \frac{4 a^{4} b \log{\left(\cosh{\left(x \right)} + \frac{b \sinh{\left(x \right)}}{a} \right)} \sinh{\left(x \right)} \cosh{\left(x \right)}}{2 a^{8} \cosh^{2}{\left(x \right)} + 4 a^{7} b \sinh{\left(x \right)} \cosh{\left(x \right)} + 2 a^{6} b^{2} \sinh^{2}{\left(x \right)} - 6 a^{6} b^{2} \cosh^{2}{\left(x \right)} - 12 a^{5} b^{3} \sinh{\left(x \right)} \cosh{\left(x \right)} - 6 a^{4} b^{4} \sinh^{2}{\left(x \right)} + 6 a^{4} b^{4} \cosh^{2}{\left(x \right)} + 12 a^{3} b^{5} \sinh{\left(x \right)} \cosh{\left(x \right)} + 6 a^{2} b^{6} \sinh^{2}{\left(x \right)} - 2 a^{2} b^{6} \cosh^{2}{\left(x \right)} - 4 a b^{7} \sinh{\left(x \right)} \cosh{\left(x \right)} - 2 b^{8} \sinh^{2}{\left(x \right)}} - \frac{12 a^{3} b^{2} x \sinh{\left(x \right)} \cosh{\left(x \right)}}{2 a^{8} \cosh^{2}{\left(x \right)} + 4 a^{7} b \sinh{\left(x \right)} \cosh{\left(x \right)} + 2 a^{6} b^{2} \sinh^{2}{\left(x \right)} - 6 a^{6} b^{2} \cosh^{2}{\left(x \right)} - 12 a^{5} b^{3} \sinh{\left(x \right)} \cosh{\left(x \right)} - 6 a^{4} b^{4} \sinh^{2}{\left(x \right)} + 6 a^{4} b^{4} \cosh^{2}{\left(x \right)} + 12 a^{3} b^{5} \sinh{\left(x \right)} \cosh{\left(x \right)} + 6 a^{2} b^{6} \sinh^{2}{\left(x \right)} - 2 a^{2} b^{6} \cosh^{2}{\left(x \right)} - 4 a b^{7} \sinh{\left(x \right)} \cosh{\left(x \right)} - 2 b^{8} \sinh^{2}{\left(x \right)}} + \frac{2 a^{3} b^{2} \log{\left(\cosh{\left(x \right)} + \frac{b \sinh{\left(x \right)}}{a} \right)} \sinh^{2}{\left(x \right)}}{2 a^{8} \cosh^{2}{\left(x \right)} + 4 a^{7} b \sinh{\left(x \right)} \cosh{\left(x \right)} + 2 a^{6} b^{2} \sinh^{2}{\left(x \right)} - 6 a^{6} b^{2} \cosh^{2}{\left(x \right)} - 12 a^{5} b^{3} \sinh{\left(x \right)} \cosh{\left(x \right)} - 6 a^{4} b^{4} \sinh^{2}{\left(x \right)} + 6 a^{4} b^{4} \cosh^{2}{\left(x \right)} + 12 a^{3} b^{5} \sinh{\left(x \right)} \cosh{\left(x \right)} + 6 a^{2} b^{6} \sinh^{2}{\left(x \right)} - 2 a^{2} b^{6} \cosh^{2}{\left(x \right)} - 4 a b^{7} \sinh{\left(x \right)} \cosh{\left(x \right)} - 2 b^{8} \sinh^{2}{\left(x \right)}} + \frac{6 a^{3} b^{2} \log{\left(\cosh{\left(x \right)} + \frac{b \sinh{\left(x \right)}}{a} \right)} \cosh^{2}{\left(x \right)}}{2 a^{8} \cosh^{2}{\left(x \right)} + 4 a^{7} b \sinh{\left(x \right)} \cosh{\left(x \right)} + 2 a^{6} b^{2} \sinh^{2}{\left(x \right)} - 6 a^{6} b^{2} \cosh^{2}{\left(x \right)} - 12 a^{5} b^{3} \sinh{\left(x \right)} \cosh{\left(x \right)} - 6 a^{4} b^{4} \sinh^{2}{\left(x \right)} + 6 a^{4} b^{4} \cosh^{2}{\left(x \right)} + 12 a^{3} b^{5} \sinh{\left(x \right)} \cosh{\left(x \right)} + 6 a^{2} b^{6} \sinh^{2}{\left(x \right)} - 2 a^{2} b^{6} \cosh^{2}{\left(x \right)} - 4 a b^{7} \sinh{\left(x \right)} \cosh{\left(x \right)} - 2 b^{8} \sinh^{2}{\left(x \right)}} + \frac{4 a^{3} b^{2} \sinh^{2}{\left(x \right)}}{2 a^{8} \cosh^{2}{\left(x \right)} + 4 a^{7} b \sinh{\left(x \right)} \cosh{\left(x \right)} + 2 a^{6} b^{2} \sinh^{2}{\left(x \right)} - 6 a^{6} b^{2} \cosh^{2}{\left(x \right)} - 12 a^{5} b^{3} \sinh{\left(x \right)} \cosh{\left(x \right)} - 6 a^{4} b^{4} \sinh^{2}{\left(x \right)} + 6 a^{4} b^{4} \cosh^{2}{\left(x \right)} + 12 a^{3} b^{5} \sinh{\left(x \right)} \cosh{\left(x \right)} + 6 a^{2} b^{6} \sinh^{2}{\left(x \right)} - 2 a^{2} b^{6} \cosh^{2}{\left(x \right)} - 4 a b^{7} \sinh{\left(x \right)} \cosh{\left(x \right)} - 2 b^{8} \sinh^{2}{\left(x \right)}} + \frac{2 a^{3} b^{2} \cosh^{2}{\left(x \right)}}{2 a^{8} \cosh^{2}{\left(x \right)} + 4 a^{7} b \sinh{\left(x \right)} \cosh{\left(x \right)} + 2 a^{6} b^{2} \sinh^{2}{\left(x \right)} - 6 a^{6} b^{2} \cosh^{2}{\left(x \right)} - 12 a^{5} b^{3} \sinh{\left(x \right)} \cosh{\left(x \right)} - 6 a^{4} b^{4} \sinh^{2}{\left(x \right)} + 6 a^{4} b^{4} \cosh^{2}{\left(x \right)} + 12 a^{3} b^{5} \sinh{\left(x \right)} \cosh{\left(x \right)} + 6 a^{2} b^{6} \sinh^{2}{\left(x \right)} - 2 a^{2} b^{6} \cosh^{2}{\left(x \right)} - 4 a b^{7} \sinh{\left(x \right)} \cosh{\left(x \right)} - 2 b^{8} \sinh^{2}{\left(x \right)}} - \frac{6 a^{2} b^{3} x \sinh^{2}{\left(x \right)}}{2 a^{8} \cosh^{2}{\left(x \right)} + 4 a^{7} b \sinh{\left(x \right)} \cosh{\left(x \right)} + 2 a^{6} b^{2} \sinh^{2}{\left(x \right)} - 6 a^{6} b^{2} \cosh^{2}{\left(x \right)} - 12 a^{5} b^{3} \sinh{\left(x \right)} \cosh{\left(x \right)} - 6 a^{4} b^{4} \sinh^{2}{\left(x \right)} + 6 a^{4} b^{4} \cosh^{2}{\left(x \right)} + 12 a^{3} b^{5} \sinh{\left(x \right)} \cosh{\left(x \right)} + 6 a^{2} b^{6} \sinh^{2}{\left(x \right)} - 2 a^{2} b^{6} \cosh^{2}{\left(x \right)} - 4 a b^{7} \sinh{\left(x \right)} \cosh{\left(x \right)} - 2 b^{8} \sinh^{2}{\left(x \right)}} - \frac{2 a^{2} b^{3} x \cosh^{2}{\left(x \right)}}{2 a^{8} \cosh^{2}{\left(x \right)} + 4 a^{7} b \sinh{\left(x \right)} \cosh{\left(x \right)} + 2 a^{6} b^{2} \sinh^{2}{\left(x \right)} - 6 a^{6} b^{2} \cosh^{2}{\left(x \right)} - 12 a^{5} b^{3} \sinh{\left(x \right)} \cosh{\left(x \right)} - 6 a^{4} b^{4} \sinh^{2}{\left(x \right)} + 6 a^{4} b^{4} \cosh^{2}{\left(x \right)} + 12 a^{3} b^{5} \sinh{\left(x \right)} \cosh{\left(x \right)} + 6 a^{2} b^{6} \sinh^{2}{\left(x \right)} - 2 a^{2} b^{6} \cosh^{2}{\left(x \right)} - 4 a b^{7} \sinh{\left(x \right)} \cosh{\left(x \right)} - 2 b^{8} \sinh^{2}{\left(x \right)}} + \frac{12 a^{2} b^{3} \log{\left(\cosh{\left(x \right)} + \frac{b \sinh{\left(x \right)}}{a} \right)} \sinh{\left(x \right)} \cosh{\left(x \right)}}{2 a^{8} \cosh^{2}{\left(x \right)} + 4 a^{7} b \sinh{\left(x \right)} \cosh{\left(x \right)} + 2 a^{6} b^{2} \sinh^{2}{\left(x \right)} - 6 a^{6} b^{2} \cosh^{2}{\left(x \right)} - 12 a^{5} b^{3} \sinh{\left(x \right)} \cosh{\left(x \right)} - 6 a^{4} b^{4} \sinh^{2}{\left(x \right)} + 6 a^{4} b^{4} \cosh^{2}{\left(x \right)} + 12 a^{3} b^{5} \sinh{\left(x \right)} \cosh{\left(x \right)} + 6 a^{2} b^{6} \sinh^{2}{\left(x \right)} - 2 a^{2} b^{6} \cosh^{2}{\left(x \right)} - 4 a b^{7} \sinh{\left(x \right)} \cosh{\left(x \right)} - 2 b^{8} \sinh^{2}{\left(x \right)}} - \frac{4 a b^{4} x \sinh{\left(x \right)} \cosh{\left(x \right)}}{2 a^{8} \cosh^{2}{\left(x \right)} + 4 a^{7} b \sinh{\left(x \right)} \cosh{\left(x \right)} + 2 a^{6} b^{2} \sinh^{2}{\left(x \right)} - 6 a^{6} b^{2} \cosh^{2}{\left(x \right)} - 12 a^{5} b^{3} \sinh{\left(x \right)} \cosh{\left(x \right)} - 6 a^{4} b^{4} \sinh^{2}{\left(x \right)} + 6 a^{4} b^{4} \cosh^{2}{\left(x \right)} + 12 a^{3} b^{5} \sinh{\left(x \right)} \cosh{\left(x \right)} + 6 a^{2} b^{6} \sinh^{2}{\left(x \right)} - 2 a^{2} b^{6} \cosh^{2}{\left(x \right)} - 4 a b^{7} \sinh{\left(x \right)} \cosh{\left(x \right)} - 2 b^{8} \sinh^{2}{\left(x \right)}} + \frac{6 a b^{4} \log{\left(\cosh{\left(x \right)} + \frac{b \sinh{\left(x \right)}}{a} \right)} \sinh^{2}{\left(x \right)}}{2 a^{8} \cosh^{2}{\left(x \right)} + 4 a^{7} b \sinh{\left(x \right)} \cosh{\left(x \right)} + 2 a^{6} b^{2} \sinh^{2}{\left(x \right)} - 6 a^{6} b^{2} \cosh^{2}{\left(x \right)} - 12 a^{5} b^{3} \sinh{\left(x \right)} \cosh{\left(x \right)} - 6 a^{4} b^{4} \sinh^{2}{\left(x \right)} + 6 a^{4} b^{4} \cosh^{2}{\left(x \right)} + 12 a^{3} b^{5} \sinh{\left(x \right)} \cosh{\left(x \right)} + 6 a^{2} b^{6} \sinh^{2}{\left(x \right)} - 2 a^{2} b^{6} \cosh^{2}{\left(x \right)} - 4 a b^{7} \sinh{\left(x \right)} \cosh{\left(x \right)} - 2 b^{8} \sinh^{2}{\left(x \right)}} - \frac{3 a b^{4} \sinh^{2}{\left(x \right)}}{2 a^{8} \cosh^{2}{\left(x \right)} + 4 a^{7} b \sinh{\left(x \right)} \cosh{\left(x \right)} + 2 a^{6} b^{2} \sinh^{2}{\left(x \right)} - 6 a^{6} b^{2} \cosh^{2}{\left(x \right)} - 12 a^{5} b^{3} \sinh{\left(x \right)} \cosh{\left(x \right)} - 6 a^{4} b^{4} \sinh^{2}{\left(x \right)} + 6 a^{4} b^{4} \cosh^{2}{\left(x \right)} + 12 a^{3} b^{5} \sinh{\left(x \right)} \cosh{\left(x \right)} + 6 a^{2} b^{6} \sinh^{2}{\left(x \right)} - 2 a^{2} b^{6} \cosh^{2}{\left(x \right)} - 4 a b^{7} \sinh{\left(x \right)} \cosh{\left(x \right)} - 2 b^{8} \sinh^{2}{\left(x \right)}} - \frac{2 b^{5} x \sinh^{2}{\left(x \right)}}{2 a^{8} \cosh^{2}{\left(x \right)} + 4 a^{7} b \sinh{\left(x \right)} \cosh{\left(x \right)} + 2 a^{6} b^{2} \sinh^{2}{\left(x \right)} - 6 a^{6} b^{2} \cosh^{2}{\left(x \right)} - 12 a^{5} b^{3} \sinh{\left(x \right)} \cosh{\left(x \right)} - 6 a^{4} b^{4} \sinh^{2}{\left(x \right)} + 6 a^{4} b^{4} \cosh^{2}{\left(x \right)} + 12 a^{3} b^{5} \sinh{\left(x \right)} \cosh{\left(x \right)} + 6 a^{2} b^{6} \sinh^{2}{\left(x \right)} - 2 a^{2} b^{6} \cosh^{2}{\left(x \right)} - 4 a b^{7} \sinh{\left(x \right)} \cosh{\left(x \right)} - 2 b^{8} \sinh^{2}{\left(x \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x, Eq(a, 0) & Eq(b, 0)), (-3*x*sinh(x)**3/(-24*b**3*sinh(x)**3 + 72*b**3*sinh(x)**2*cosh(x) - 72*b**3*sinh(x)*cosh(x)**2 + 24*b**3*cosh(x)**3) + 9*x*sinh(x)**2*cosh(x)/(-24*b**3*sinh(x)**3 + 72*b**3*sinh(x)**2*cosh(x) - 72*b**3*sinh(x)*cosh(x)**2 + 24*b**3*cosh(x)**3) - 9*x*sinh(x)*cosh(x)**2/(-24*b**3*sinh(x)**3 + 72*b**3*sinh(x)**2*cosh(x) - 72*b**3*sinh(x)*cosh(x)**2 + 24*b**3*cosh(x)**3) + 3*x*cosh(x)**3/(-24*b**3*sinh(x)**3 + 72*b**3*sinh(x)**2*cosh(x) - 72*b**3*sinh(x)*cosh(x)**2 + 24*b**3*cosh(x)**3) - 7*sinh(x)**3/(-24*b**3*sinh(x)**3 + 72*b**3*sinh(x)**2*cosh(x) - 72*b**3*sinh(x)*cosh(x)**2 + 24*b**3*cosh(x)**3) + 6*sinh(x)*cosh(x)**2/(-24*b**3*sinh(x)**3 + 72*b**3*sinh(x)**2*cosh(x) - 72*b**3*sinh(x)*cosh(x)**2 + 24*b**3*cosh(x)**3) - 3*cosh(x)**3/(-24*b**3*sinh(x)**3 + 72*b**3*sinh(x)**2*cosh(x) - 72*b**3*sinh(x)*cosh(x)**2 + 24*b**3*cosh(x)**3), Eq(a, -b)), (3*x*sinh(x)**3/(24*b**3*sinh(x)**3 + 72*b**3*sinh(x)**2*cosh(x) + 72*b**3*sinh(x)*cosh(x)**2 + 24*b**3*cosh(x)**3) + 9*x*sinh(x)**2*cosh(x)/(24*b**3*sinh(x)**3 + 72*b**3*sinh(x)**2*cosh(x) + 72*b**3*sinh(x)*cosh(x)**2 + 24*b**3*cosh(x)**3) + 9*x*sinh(x)*cosh(x)**2/(24*b**3*sinh(x)**3 + 72*b**3*sinh(x)**2*cosh(x) + 72*b**3*sinh(x)*cosh(x)**2 + 24*b**3*cosh(x)**3) + 3*x*cosh(x)**3/(24*b**3*sinh(x)**3 + 72*b**3*sinh(x)**2*cosh(x) + 72*b**3*sinh(x)*cosh(x)**2 + 24*b**3*cosh(x)**3) - 7*sinh(x)**3/(24*b**3*sinh(x)**3 + 72*b**3*sinh(x)**2*cosh(x) + 72*b**3*sinh(x)*cosh(x)**2 + 24*b**3*cosh(x)**3) + 6*sinh(x)*cosh(x)**2/(24*b**3*sinh(x)**3 + 72*b**3*sinh(x)**2*cosh(x) + 72*b**3*sinh(x)*cosh(x)**2 + 24*b**3*cosh(x)**3) + 3*cosh(x)**3/(24*b**3*sinh(x)**3 + 72*b**3*sinh(x)**2*cosh(x) + 72*b**3*sinh(x)*cosh(x)**2 + 24*b**3*cosh(x)**3), Eq(a, b)), (x/b**3, Eq(a, 0)), (2*a**5*log(cosh(x) + b*sinh(x)/a)*cosh(x)**2/(2*a**8*cosh(x)**2 + 4*a**7*b*sinh(x)*cosh(x) + 2*a**6*b**2*sinh(x)**2 - 6*a**6*b**2*cosh(x)**2 - 12*a**5*b**3*sinh(x)*cosh(x) - 6*a**4*b**4*sinh(x)**2 + 6*a**4*b**4*cosh(x)**2 + 12*a**3*b**5*sinh(x)*cosh(x) + 6*a**2*b**6*sinh(x)**2 - 2*a**2*b**6*cosh(x)**2 - 4*a*b**7*sinh(x)*cosh(x) - 2*b**8*sinh(x)**2) - a**5*sinh(x)**2/(2*a**8*cosh(x)**2 + 4*a**7*b*sinh(x)*cosh(x) + 2*a**6*b**2*sinh(x)**2 - 6*a**6*b**2*cosh(x)**2 - 12*a**5*b**3*sinh(x)*cosh(x) - 6*a**4*b**4*sinh(x)**2 + 6*a**4*b**4*cosh(x)**2 + 12*a**3*b**5*sinh(x)*cosh(x) + 6*a**2*b**6*sinh(x)**2 - 2*a**2*b**6*cosh(x)**2 - 4*a*b**7*sinh(x)*cosh(x) - 2*b**8*sinh(x)**2) - 2*a**5*cosh(x)**2/(2*a**8*cosh(x)**2 + 4*a**7*b*sinh(x)*cosh(x) + 2*a**6*b**2*sinh(x)**2 - 6*a**6*b**2*cosh(x)**2 - 12*a**5*b**3*sinh(x)*cosh(x) - 6*a**4*b**4*sinh(x)**2 + 6*a**4*b**4*cosh(x)**2 + 12*a**3*b**5*sinh(x)*cosh(x) + 6*a**2*b**6*sinh(x)**2 - 2*a**2*b**6*cosh(x)**2 - 4*a*b**7*sinh(x)*cosh(x) - 2*b**8*sinh(x)**2) - 6*a**4*b*x*cosh(x)**2/(2*a**8*cosh(x)**2 + 4*a**7*b*sinh(x)*cosh(x) + 2*a**6*b**2*sinh(x)**2 - 6*a**6*b**2*cosh(x)**2 - 12*a**5*b**3*sinh(x)*cosh(x) - 6*a**4*b**4*sinh(x)**2 + 6*a**4*b**4*cosh(x)**2 + 12*a**3*b**5*sinh(x)*cosh(x) + 6*a**2*b**6*sinh(x)**2 - 2*a**2*b**6*cosh(x)**2 - 4*a*b**7*sinh(x)*cosh(x) - 2*b**8*sinh(x)**2) + 4*a**4*b*log(cosh(x) + b*sinh(x)/a)*sinh(x)*cosh(x)/(2*a**8*cosh(x)**2 + 4*a**7*b*sinh(x)*cosh(x) + 2*a**6*b**2*sinh(x)**2 - 6*a**6*b**2*cosh(x)**2 - 12*a**5*b**3*sinh(x)*cosh(x) - 6*a**4*b**4*sinh(x)**2 + 6*a**4*b**4*cosh(x)**2 + 12*a**3*b**5*sinh(x)*cosh(x) + 6*a**2*b**6*sinh(x)**2 - 2*a**2*b**6*cosh(x)**2 - 4*a*b**7*sinh(x)*cosh(x) - 2*b**8*sinh(x)**2) - 12*a**3*b**2*x*sinh(x)*cosh(x)/(2*a**8*cosh(x)**2 + 4*a**7*b*sinh(x)*cosh(x) + 2*a**6*b**2*sinh(x)**2 - 6*a**6*b**2*cosh(x)**2 - 12*a**5*b**3*sinh(x)*cosh(x) - 6*a**4*b**4*sinh(x)**2 + 6*a**4*b**4*cosh(x)**2 + 12*a**3*b**5*sinh(x)*cosh(x) + 6*a**2*b**6*sinh(x)**2 - 2*a**2*b**6*cosh(x)**2 - 4*a*b**7*sinh(x)*cosh(x) - 2*b**8*sinh(x)**2) + 2*a**3*b**2*log(cosh(x) + b*sinh(x)/a)*sinh(x)**2/(2*a**8*cosh(x)**2 + 4*a**7*b*sinh(x)*cosh(x) + 2*a**6*b**2*sinh(x)**2 - 6*a**6*b**2*cosh(x)**2 - 12*a**5*b**3*sinh(x)*cosh(x) - 6*a**4*b**4*sinh(x)**2 + 6*a**4*b**4*cosh(x)**2 + 12*a**3*b**5*sinh(x)*cosh(x) + 6*a**2*b**6*sinh(x)**2 - 2*a**2*b**6*cosh(x)**2 - 4*a*b**7*sinh(x)*cosh(x) - 2*b**8*sinh(x)**2) + 6*a**3*b**2*log(cosh(x) + b*sinh(x)/a)*cosh(x)**2/(2*a**8*cosh(x)**2 + 4*a**7*b*sinh(x)*cosh(x) + 2*a**6*b**2*sinh(x)**2 - 6*a**6*b**2*cosh(x)**2 - 12*a**5*b**3*sinh(x)*cosh(x) - 6*a**4*b**4*sinh(x)**2 + 6*a**4*b**4*cosh(x)**2 + 12*a**3*b**5*sinh(x)*cosh(x) + 6*a**2*b**6*sinh(x)**2 - 2*a**2*b**6*cosh(x)**2 - 4*a*b**7*sinh(x)*cosh(x) - 2*b**8*sinh(x)**2) + 4*a**3*b**2*sinh(x)**2/(2*a**8*cosh(x)**2 + 4*a**7*b*sinh(x)*cosh(x) + 2*a**6*b**2*sinh(x)**2 - 6*a**6*b**2*cosh(x)**2 - 12*a**5*b**3*sinh(x)*cosh(x) - 6*a**4*b**4*sinh(x)**2 + 6*a**4*b**4*cosh(x)**2 + 12*a**3*b**5*sinh(x)*cosh(x) + 6*a**2*b**6*sinh(x)**2 - 2*a**2*b**6*cosh(x)**2 - 4*a*b**7*sinh(x)*cosh(x) - 2*b**8*sinh(x)**2) + 2*a**3*b**2*cosh(x)**2/(2*a**8*cosh(x)**2 + 4*a**7*b*sinh(x)*cosh(x) + 2*a**6*b**2*sinh(x)**2 - 6*a**6*b**2*cosh(x)**2 - 12*a**5*b**3*sinh(x)*cosh(x) - 6*a**4*b**4*sinh(x)**2 + 6*a**4*b**4*cosh(x)**2 + 12*a**3*b**5*sinh(x)*cosh(x) + 6*a**2*b**6*sinh(x)**2 - 2*a**2*b**6*cosh(x)**2 - 4*a*b**7*sinh(x)*cosh(x) - 2*b**8*sinh(x)**2) - 6*a**2*b**3*x*sinh(x)**2/(2*a**8*cosh(x)**2 + 4*a**7*b*sinh(x)*cosh(x) + 2*a**6*b**2*sinh(x)**2 - 6*a**6*b**2*cosh(x)**2 - 12*a**5*b**3*sinh(x)*cosh(x) - 6*a**4*b**4*sinh(x)**2 + 6*a**4*b**4*cosh(x)**2 + 12*a**3*b**5*sinh(x)*cosh(x) + 6*a**2*b**6*sinh(x)**2 - 2*a**2*b**6*cosh(x)**2 - 4*a*b**7*sinh(x)*cosh(x) - 2*b**8*sinh(x)**2) - 2*a**2*b**3*x*cosh(x)**2/(2*a**8*cosh(x)**2 + 4*a**7*b*sinh(x)*cosh(x) + 2*a**6*b**2*sinh(x)**2 - 6*a**6*b**2*cosh(x)**2 - 12*a**5*b**3*sinh(x)*cosh(x) - 6*a**4*b**4*sinh(x)**2 + 6*a**4*b**4*cosh(x)**2 + 12*a**3*b**5*sinh(x)*cosh(x) + 6*a**2*b**6*sinh(x)**2 - 2*a**2*b**6*cosh(x)**2 - 4*a*b**7*sinh(x)*cosh(x) - 2*b**8*sinh(x)**2) + 12*a**2*b**3*log(cosh(x) + b*sinh(x)/a)*sinh(x)*cosh(x)/(2*a**8*cosh(x)**2 + 4*a**7*b*sinh(x)*cosh(x) + 2*a**6*b**2*sinh(x)**2 - 6*a**6*b**2*cosh(x)**2 - 12*a**5*b**3*sinh(x)*cosh(x) - 6*a**4*b**4*sinh(x)**2 + 6*a**4*b**4*cosh(x)**2 + 12*a**3*b**5*sinh(x)*cosh(x) + 6*a**2*b**6*sinh(x)**2 - 2*a**2*b**6*cosh(x)**2 - 4*a*b**7*sinh(x)*cosh(x) - 2*b**8*sinh(x)**2) - 4*a*b**4*x*sinh(x)*cosh(x)/(2*a**8*cosh(x)**2 + 4*a**7*b*sinh(x)*cosh(x) + 2*a**6*b**2*sinh(x)**2 - 6*a**6*b**2*cosh(x)**2 - 12*a**5*b**3*sinh(x)*cosh(x) - 6*a**4*b**4*sinh(x)**2 + 6*a**4*b**4*cosh(x)**2 + 12*a**3*b**5*sinh(x)*cosh(x) + 6*a**2*b**6*sinh(x)**2 - 2*a**2*b**6*cosh(x)**2 - 4*a*b**7*sinh(x)*cosh(x) - 2*b**8*sinh(x)**2) + 6*a*b**4*log(cosh(x) + b*sinh(x)/a)*sinh(x)**2/(2*a**8*cosh(x)**2 + 4*a**7*b*sinh(x)*cosh(x) + 2*a**6*b**2*sinh(x)**2 - 6*a**6*b**2*cosh(x)**2 - 12*a**5*b**3*sinh(x)*cosh(x) - 6*a**4*b**4*sinh(x)**2 + 6*a**4*b**4*cosh(x)**2 + 12*a**3*b**5*sinh(x)*cosh(x) + 6*a**2*b**6*sinh(x)**2 - 2*a**2*b**6*cosh(x)**2 - 4*a*b**7*sinh(x)*cosh(x) - 2*b**8*sinh(x)**2) - 3*a*b**4*sinh(x)**2/(2*a**8*cosh(x)**2 + 4*a**7*b*sinh(x)*cosh(x) + 2*a**6*b**2*sinh(x)**2 - 6*a**6*b**2*cosh(x)**2 - 12*a**5*b**3*sinh(x)*cosh(x) - 6*a**4*b**4*sinh(x)**2 + 6*a**4*b**4*cosh(x)**2 + 12*a**3*b**5*sinh(x)*cosh(x) + 6*a**2*b**6*sinh(x)**2 - 2*a**2*b**6*cosh(x)**2 - 4*a*b**7*sinh(x)*cosh(x) - 2*b**8*sinh(x)**2) - 2*b**5*x*sinh(x)**2/(2*a**8*cosh(x)**2 + 4*a**7*b*sinh(x)*cosh(x) + 2*a**6*b**2*sinh(x)**2 - 6*a**6*b**2*cosh(x)**2 - 12*a**5*b**3*sinh(x)*cosh(x) - 6*a**4*b**4*sinh(x)**2 + 6*a**4*b**4*cosh(x)**2 + 12*a**3*b**5*sinh(x)*cosh(x) + 6*a**2*b**6*sinh(x)**2 - 2*a**2*b**6*cosh(x)**2 - 4*a*b**7*sinh(x)*cosh(x) - 2*b**8*sinh(x)**2), True))","A",0
704,-1,0,0,0.000000," ","integrate(cosh(x)/(a*cosh(x)+b*sinh(x))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
705,1,3840,0,4.387644," ","integrate(cosh(x)**3/(a*cosh(x)+b*sinh(x))**3,x)","\begin{cases} \tilde{\infty} \left(\log{\left(\sinh{\left(x \right)} \right)} - \frac{\cosh^{2}{\left(x \right)}}{2 \sinh^{2}{\left(x \right)}}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{3 x \sinh^{3}{\left(x \right)}}{- 24 b^{3} \sinh^{3}{\left(x \right)} + 72 b^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)} - 72 b^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)} + 24 b^{3} \cosh^{3}{\left(x \right)}} - \frac{9 x \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{- 24 b^{3} \sinh^{3}{\left(x \right)} + 72 b^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)} - 72 b^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)} + 24 b^{3} \cosh^{3}{\left(x \right)}} + \frac{9 x \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{- 24 b^{3} \sinh^{3}{\left(x \right)} + 72 b^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)} - 72 b^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)} + 24 b^{3} \cosh^{3}{\left(x \right)}} - \frac{3 x \cosh^{3}{\left(x \right)}}{- 24 b^{3} \sinh^{3}{\left(x \right)} + 72 b^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)} - 72 b^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)} + 24 b^{3} \cosh^{3}{\left(x \right)}} - \frac{\sinh^{3}{\left(x \right)}}{- 24 b^{3} \sinh^{3}{\left(x \right)} + 72 b^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)} - 72 b^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)} + 24 b^{3} \cosh^{3}{\left(x \right)}} + \frac{6 \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{- 24 b^{3} \sinh^{3}{\left(x \right)} + 72 b^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)} - 72 b^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)} + 24 b^{3} \cosh^{3}{\left(x \right)}} - \frac{9 \cosh^{3}{\left(x \right)}}{- 24 b^{3} \sinh^{3}{\left(x \right)} + 72 b^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)} - 72 b^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)} + 24 b^{3} \cosh^{3}{\left(x \right)}} & \text{for}\: a = - b \\\frac{3 x \sinh^{3}{\left(x \right)}}{24 b^{3} \sinh^{3}{\left(x \right)} + 72 b^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)} + 72 b^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)} + 24 b^{3} \cosh^{3}{\left(x \right)}} + \frac{9 x \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{24 b^{3} \sinh^{3}{\left(x \right)} + 72 b^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)} + 72 b^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)} + 24 b^{3} \cosh^{3}{\left(x \right)}} + \frac{9 x \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{24 b^{3} \sinh^{3}{\left(x \right)} + 72 b^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)} + 72 b^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)} + 24 b^{3} \cosh^{3}{\left(x \right)}} + \frac{3 x \cosh^{3}{\left(x \right)}}{24 b^{3} \sinh^{3}{\left(x \right)} + 72 b^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)} + 72 b^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)} + 24 b^{3} \cosh^{3}{\left(x \right)}} + \frac{\sinh^{3}{\left(x \right)}}{24 b^{3} \sinh^{3}{\left(x \right)} + 72 b^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)} + 72 b^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)} + 24 b^{3} \cosh^{3}{\left(x \right)}} - \frac{6 \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{24 b^{3} \sinh^{3}{\left(x \right)} + 72 b^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)} + 72 b^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)} + 24 b^{3} \cosh^{3}{\left(x \right)}} - \frac{9 \cosh^{3}{\left(x \right)}}{24 b^{3} \sinh^{3}{\left(x \right)} + 72 b^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)} + 72 b^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)} + 24 b^{3} \cosh^{3}{\left(x \right)}} & \text{for}\: a = b \\\frac{\log{\left(\sinh{\left(x \right)} \right)} - \frac{\cosh^{2}{\left(x \right)}}{2 \sinh^{2}{\left(x \right)}}}{b^{3}} & \text{for}\: a = 0 \\\frac{2 a^{5} x \cosh^{2}{\left(x \right)}}{2 a^{8} \cosh^{2}{\left(x \right)} + 4 a^{7} b \sinh{\left(x \right)} \cosh{\left(x \right)} + 2 a^{6} b^{2} \sinh^{2}{\left(x \right)} - 6 a^{6} b^{2} \cosh^{2}{\left(x \right)} - 12 a^{5} b^{3} \sinh{\left(x \right)} \cosh{\left(x \right)} - 6 a^{4} b^{4} \sinh^{2}{\left(x \right)} + 6 a^{4} b^{4} \cosh^{2}{\left(x \right)} + 12 a^{3} b^{5} \sinh{\left(x \right)} \cosh{\left(x \right)} + 6 a^{2} b^{6} \sinh^{2}{\left(x \right)} - 2 a^{2} b^{6} \cosh^{2}{\left(x \right)} - 4 a b^{7} \sinh{\left(x \right)} \cosh{\left(x \right)} - 2 b^{8} \sinh^{2}{\left(x \right)}} + \frac{4 a^{4} b x \sinh{\left(x \right)} \cosh{\left(x \right)}}{2 a^{8} \cosh^{2}{\left(x \right)} + 4 a^{7} b \sinh{\left(x \right)} \cosh{\left(x \right)} + 2 a^{6} b^{2} \sinh^{2}{\left(x \right)} - 6 a^{6} b^{2} \cosh^{2}{\left(x \right)} - 12 a^{5} b^{3} \sinh{\left(x \right)} \cosh{\left(x \right)} - 6 a^{4} b^{4} \sinh^{2}{\left(x \right)} + 6 a^{4} b^{4} \cosh^{2}{\left(x \right)} + 12 a^{3} b^{5} \sinh{\left(x \right)} \cosh{\left(x \right)} + 6 a^{2} b^{6} \sinh^{2}{\left(x \right)} - 2 a^{2} b^{6} \cosh^{2}{\left(x \right)} - 4 a b^{7} \sinh{\left(x \right)} \cosh{\left(x \right)} - 2 b^{8} \sinh^{2}{\left(x \right)}} - \frac{6 a^{4} b \log{\left(\cosh{\left(x \right)} + \frac{b \sinh{\left(x \right)}}{a} \right)} \cosh^{2}{\left(x \right)}}{2 a^{8} \cosh^{2}{\left(x \right)} + 4 a^{7} b \sinh{\left(x \right)} \cosh{\left(x \right)} + 2 a^{6} b^{2} \sinh^{2}{\left(x \right)} - 6 a^{6} b^{2} \cosh^{2}{\left(x \right)} - 12 a^{5} b^{3} \sinh{\left(x \right)} \cosh{\left(x \right)} - 6 a^{4} b^{4} \sinh^{2}{\left(x \right)} + 6 a^{4} b^{4} \cosh^{2}{\left(x \right)} + 12 a^{3} b^{5} \sinh{\left(x \right)} \cosh{\left(x \right)} + 6 a^{2} b^{6} \sinh^{2}{\left(x \right)} - 2 a^{2} b^{6} \cosh^{2}{\left(x \right)} - 4 a b^{7} \sinh{\left(x \right)} \cosh{\left(x \right)} - 2 b^{8} \sinh^{2}{\left(x \right)}} + \frac{3 a^{4} b \cosh^{2}{\left(x \right)}}{2 a^{8} \cosh^{2}{\left(x \right)} + 4 a^{7} b \sinh{\left(x \right)} \cosh{\left(x \right)} + 2 a^{6} b^{2} \sinh^{2}{\left(x \right)} - 6 a^{6} b^{2} \cosh^{2}{\left(x \right)} - 12 a^{5} b^{3} \sinh{\left(x \right)} \cosh{\left(x \right)} - 6 a^{4} b^{4} \sinh^{2}{\left(x \right)} + 6 a^{4} b^{4} \cosh^{2}{\left(x \right)} + 12 a^{3} b^{5} \sinh{\left(x \right)} \cosh{\left(x \right)} + 6 a^{2} b^{6} \sinh^{2}{\left(x \right)} - 2 a^{2} b^{6} \cosh^{2}{\left(x \right)} - 4 a b^{7} \sinh{\left(x \right)} \cosh{\left(x \right)} - 2 b^{8} \sinh^{2}{\left(x \right)}} + \frac{2 a^{3} b^{2} x \sinh^{2}{\left(x \right)}}{2 a^{8} \cosh^{2}{\left(x \right)} + 4 a^{7} b \sinh{\left(x \right)} \cosh{\left(x \right)} + 2 a^{6} b^{2} \sinh^{2}{\left(x \right)} - 6 a^{6} b^{2} \cosh^{2}{\left(x \right)} - 12 a^{5} b^{3} \sinh{\left(x \right)} \cosh{\left(x \right)} - 6 a^{4} b^{4} \sinh^{2}{\left(x \right)} + 6 a^{4} b^{4} \cosh^{2}{\left(x \right)} + 12 a^{3} b^{5} \sinh{\left(x \right)} \cosh{\left(x \right)} + 6 a^{2} b^{6} \sinh^{2}{\left(x \right)} - 2 a^{2} b^{6} \cosh^{2}{\left(x \right)} - 4 a b^{7} \sinh{\left(x \right)} \cosh{\left(x \right)} - 2 b^{8} \sinh^{2}{\left(x \right)}} + \frac{6 a^{3} b^{2} x \cosh^{2}{\left(x \right)}}{2 a^{8} \cosh^{2}{\left(x \right)} + 4 a^{7} b \sinh{\left(x \right)} \cosh{\left(x \right)} + 2 a^{6} b^{2} \sinh^{2}{\left(x \right)} - 6 a^{6} b^{2} \cosh^{2}{\left(x \right)} - 12 a^{5} b^{3} \sinh{\left(x \right)} \cosh{\left(x \right)} - 6 a^{4} b^{4} \sinh^{2}{\left(x \right)} + 6 a^{4} b^{4} \cosh^{2}{\left(x \right)} + 12 a^{3} b^{5} \sinh{\left(x \right)} \cosh{\left(x \right)} + 6 a^{2} b^{6} \sinh^{2}{\left(x \right)} - 2 a^{2} b^{6} \cosh^{2}{\left(x \right)} - 4 a b^{7} \sinh{\left(x \right)} \cosh{\left(x \right)} - 2 b^{8} \sinh^{2}{\left(x \right)}} - \frac{12 a^{3} b^{2} \log{\left(\cosh{\left(x \right)} + \frac{b \sinh{\left(x \right)}}{a} \right)} \sinh{\left(x \right)} \cosh{\left(x \right)}}{2 a^{8} \cosh^{2}{\left(x \right)} + 4 a^{7} b \sinh{\left(x \right)} \cosh{\left(x \right)} + 2 a^{6} b^{2} \sinh^{2}{\left(x \right)} - 6 a^{6} b^{2} \cosh^{2}{\left(x \right)} - 12 a^{5} b^{3} \sinh{\left(x \right)} \cosh{\left(x \right)} - 6 a^{4} b^{4} \sinh^{2}{\left(x \right)} + 6 a^{4} b^{4} \cosh^{2}{\left(x \right)} + 12 a^{3} b^{5} \sinh{\left(x \right)} \cosh{\left(x \right)} + 6 a^{2} b^{6} \sinh^{2}{\left(x \right)} - 2 a^{2} b^{6} \cosh^{2}{\left(x \right)} - 4 a b^{7} \sinh{\left(x \right)} \cosh{\left(x \right)} - 2 b^{8} \sinh^{2}{\left(x \right)}} + \frac{12 a^{2} b^{3} x \sinh{\left(x \right)} \cosh{\left(x \right)}}{2 a^{8} \cosh^{2}{\left(x \right)} + 4 a^{7} b \sinh{\left(x \right)} \cosh{\left(x \right)} + 2 a^{6} b^{2} \sinh^{2}{\left(x \right)} - 6 a^{6} b^{2} \cosh^{2}{\left(x \right)} - 12 a^{5} b^{3} \sinh{\left(x \right)} \cosh{\left(x \right)} - 6 a^{4} b^{4} \sinh^{2}{\left(x \right)} + 6 a^{4} b^{4} \cosh^{2}{\left(x \right)} + 12 a^{3} b^{5} \sinh{\left(x \right)} \cosh{\left(x \right)} + 6 a^{2} b^{6} \sinh^{2}{\left(x \right)} - 2 a^{2} b^{6} \cosh^{2}{\left(x \right)} - 4 a b^{7} \sinh{\left(x \right)} \cosh{\left(x \right)} - 2 b^{8} \sinh^{2}{\left(x \right)}} - \frac{6 a^{2} b^{3} \log{\left(\cosh{\left(x \right)} + \frac{b \sinh{\left(x \right)}}{a} \right)} \sinh^{2}{\left(x \right)}}{2 a^{8} \cosh^{2}{\left(x \right)} + 4 a^{7} b \sinh{\left(x \right)} \cosh{\left(x \right)} + 2 a^{6} b^{2} \sinh^{2}{\left(x \right)} - 6 a^{6} b^{2} \cosh^{2}{\left(x \right)} - 12 a^{5} b^{3} \sinh{\left(x \right)} \cosh{\left(x \right)} - 6 a^{4} b^{4} \sinh^{2}{\left(x \right)} + 6 a^{4} b^{4} \cosh^{2}{\left(x \right)} + 12 a^{3} b^{5} \sinh{\left(x \right)} \cosh{\left(x \right)} + 6 a^{2} b^{6} \sinh^{2}{\left(x \right)} - 2 a^{2} b^{6} \cosh^{2}{\left(x \right)} - 4 a b^{7} \sinh{\left(x \right)} \cosh{\left(x \right)} - 2 b^{8} \sinh^{2}{\left(x \right)}} - \frac{2 a^{2} b^{3} \log{\left(\cosh{\left(x \right)} + \frac{b \sinh{\left(x \right)}}{a} \right)} \cosh^{2}{\left(x \right)}}{2 a^{8} \cosh^{2}{\left(x \right)} + 4 a^{7} b \sinh{\left(x \right)} \cosh{\left(x \right)} + 2 a^{6} b^{2} \sinh^{2}{\left(x \right)} - 6 a^{6} b^{2} \cosh^{2}{\left(x \right)} - 12 a^{5} b^{3} \sinh{\left(x \right)} \cosh{\left(x \right)} - 6 a^{4} b^{4} \sinh^{2}{\left(x \right)} + 6 a^{4} b^{4} \cosh^{2}{\left(x \right)} + 12 a^{3} b^{5} \sinh{\left(x \right)} \cosh{\left(x \right)} + 6 a^{2} b^{6} \sinh^{2}{\left(x \right)} - 2 a^{2} b^{6} \cosh^{2}{\left(x \right)} - 4 a b^{7} \sinh{\left(x \right)} \cosh{\left(x \right)} - 2 b^{8} \sinh^{2}{\left(x \right)}} - \frac{2 a^{2} b^{3} \sinh^{2}{\left(x \right)}}{2 a^{8} \cosh^{2}{\left(x \right)} + 4 a^{7} b \sinh{\left(x \right)} \cosh{\left(x \right)} + 2 a^{6} b^{2} \sinh^{2}{\left(x \right)} - 6 a^{6} b^{2} \cosh^{2}{\left(x \right)} - 12 a^{5} b^{3} \sinh{\left(x \right)} \cosh{\left(x \right)} - 6 a^{4} b^{4} \sinh^{2}{\left(x \right)} + 6 a^{4} b^{4} \cosh^{2}{\left(x \right)} + 12 a^{3} b^{5} \sinh{\left(x \right)} \cosh{\left(x \right)} + 6 a^{2} b^{6} \sinh^{2}{\left(x \right)} - 2 a^{2} b^{6} \cosh^{2}{\left(x \right)} - 4 a b^{7} \sinh{\left(x \right)} \cosh{\left(x \right)} - 2 b^{8} \sinh^{2}{\left(x \right)}} - \frac{4 a^{2} b^{3} \cosh^{2}{\left(x \right)}}{2 a^{8} \cosh^{2}{\left(x \right)} + 4 a^{7} b \sinh{\left(x \right)} \cosh{\left(x \right)} + 2 a^{6} b^{2} \sinh^{2}{\left(x \right)} - 6 a^{6} b^{2} \cosh^{2}{\left(x \right)} - 12 a^{5} b^{3} \sinh{\left(x \right)} \cosh{\left(x \right)} - 6 a^{4} b^{4} \sinh^{2}{\left(x \right)} + 6 a^{4} b^{4} \cosh^{2}{\left(x \right)} + 12 a^{3} b^{5} \sinh{\left(x \right)} \cosh{\left(x \right)} + 6 a^{2} b^{6} \sinh^{2}{\left(x \right)} - 2 a^{2} b^{6} \cosh^{2}{\left(x \right)} - 4 a b^{7} \sinh{\left(x \right)} \cosh{\left(x \right)} - 2 b^{8} \sinh^{2}{\left(x \right)}} + \frac{6 a b^{4} x \sinh^{2}{\left(x \right)}}{2 a^{8} \cosh^{2}{\left(x \right)} + 4 a^{7} b \sinh{\left(x \right)} \cosh{\left(x \right)} + 2 a^{6} b^{2} \sinh^{2}{\left(x \right)} - 6 a^{6} b^{2} \cosh^{2}{\left(x \right)} - 12 a^{5} b^{3} \sinh{\left(x \right)} \cosh{\left(x \right)} - 6 a^{4} b^{4} \sinh^{2}{\left(x \right)} + 6 a^{4} b^{4} \cosh^{2}{\left(x \right)} + 12 a^{3} b^{5} \sinh{\left(x \right)} \cosh{\left(x \right)} + 6 a^{2} b^{6} \sinh^{2}{\left(x \right)} - 2 a^{2} b^{6} \cosh^{2}{\left(x \right)} - 4 a b^{7} \sinh{\left(x \right)} \cosh{\left(x \right)} - 2 b^{8} \sinh^{2}{\left(x \right)}} - \frac{4 a b^{4} \log{\left(\cosh{\left(x \right)} + \frac{b \sinh{\left(x \right)}}{a} \right)} \sinh{\left(x \right)} \cosh{\left(x \right)}}{2 a^{8} \cosh^{2}{\left(x \right)} + 4 a^{7} b \sinh{\left(x \right)} \cosh{\left(x \right)} + 2 a^{6} b^{2} \sinh^{2}{\left(x \right)} - 6 a^{6} b^{2} \cosh^{2}{\left(x \right)} - 12 a^{5} b^{3} \sinh{\left(x \right)} \cosh{\left(x \right)} - 6 a^{4} b^{4} \sinh^{2}{\left(x \right)} + 6 a^{4} b^{4} \cosh^{2}{\left(x \right)} + 12 a^{3} b^{5} \sinh{\left(x \right)} \cosh{\left(x \right)} + 6 a^{2} b^{6} \sinh^{2}{\left(x \right)} - 2 a^{2} b^{6} \cosh^{2}{\left(x \right)} - 4 a b^{7} \sinh{\left(x \right)} \cosh{\left(x \right)} - 2 b^{8} \sinh^{2}{\left(x \right)}} - \frac{2 b^{5} \log{\left(\cosh{\left(x \right)} + \frac{b \sinh{\left(x \right)}}{a} \right)} \sinh^{2}{\left(x \right)}}{2 a^{8} \cosh^{2}{\left(x \right)} + 4 a^{7} b \sinh{\left(x \right)} \cosh{\left(x \right)} + 2 a^{6} b^{2} \sinh^{2}{\left(x \right)} - 6 a^{6} b^{2} \cosh^{2}{\left(x \right)} - 12 a^{5} b^{3} \sinh{\left(x \right)} \cosh{\left(x \right)} - 6 a^{4} b^{4} \sinh^{2}{\left(x \right)} + 6 a^{4} b^{4} \cosh^{2}{\left(x \right)} + 12 a^{3} b^{5} \sinh{\left(x \right)} \cosh{\left(x \right)} + 6 a^{2} b^{6} \sinh^{2}{\left(x \right)} - 2 a^{2} b^{6} \cosh^{2}{\left(x \right)} - 4 a b^{7} \sinh{\left(x \right)} \cosh{\left(x \right)} - 2 b^{8} \sinh^{2}{\left(x \right)}} + \frac{2 b^{5} \sinh^{2}{\left(x \right)}}{2 a^{8} \cosh^{2}{\left(x \right)} + 4 a^{7} b \sinh{\left(x \right)} \cosh{\left(x \right)} + 2 a^{6} b^{2} \sinh^{2}{\left(x \right)} - 6 a^{6} b^{2} \cosh^{2}{\left(x \right)} - 12 a^{5} b^{3} \sinh{\left(x \right)} \cosh{\left(x \right)} - 6 a^{4} b^{4} \sinh^{2}{\left(x \right)} + 6 a^{4} b^{4} \cosh^{2}{\left(x \right)} + 12 a^{3} b^{5} \sinh{\left(x \right)} \cosh{\left(x \right)} + 6 a^{2} b^{6} \sinh^{2}{\left(x \right)} - 2 a^{2} b^{6} \cosh^{2}{\left(x \right)} - 4 a b^{7} \sinh{\left(x \right)} \cosh{\left(x \right)} - 2 b^{8} \sinh^{2}{\left(x \right)}} + \frac{b^{5} \cosh^{2}{\left(x \right)}}{2 a^{8} \cosh^{2}{\left(x \right)} + 4 a^{7} b \sinh{\left(x \right)} \cosh{\left(x \right)} + 2 a^{6} b^{2} \sinh^{2}{\left(x \right)} - 6 a^{6} b^{2} \cosh^{2}{\left(x \right)} - 12 a^{5} b^{3} \sinh{\left(x \right)} \cosh{\left(x \right)} - 6 a^{4} b^{4} \sinh^{2}{\left(x \right)} + 6 a^{4} b^{4} \cosh^{2}{\left(x \right)} + 12 a^{3} b^{5} \sinh{\left(x \right)} \cosh{\left(x \right)} + 6 a^{2} b^{6} \sinh^{2}{\left(x \right)} - 2 a^{2} b^{6} \cosh^{2}{\left(x \right)} - 4 a b^{7} \sinh{\left(x \right)} \cosh{\left(x \right)} - 2 b^{8} \sinh^{2}{\left(x \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(log(sinh(x)) - cosh(x)**2/(2*sinh(x)**2)), Eq(a, 0) & Eq(b, 0)), (3*x*sinh(x)**3/(-24*b**3*sinh(x)**3 + 72*b**3*sinh(x)**2*cosh(x) - 72*b**3*sinh(x)*cosh(x)**2 + 24*b**3*cosh(x)**3) - 9*x*sinh(x)**2*cosh(x)/(-24*b**3*sinh(x)**3 + 72*b**3*sinh(x)**2*cosh(x) - 72*b**3*sinh(x)*cosh(x)**2 + 24*b**3*cosh(x)**3) + 9*x*sinh(x)*cosh(x)**2/(-24*b**3*sinh(x)**3 + 72*b**3*sinh(x)**2*cosh(x) - 72*b**3*sinh(x)*cosh(x)**2 + 24*b**3*cosh(x)**3) - 3*x*cosh(x)**3/(-24*b**3*sinh(x)**3 + 72*b**3*sinh(x)**2*cosh(x) - 72*b**3*sinh(x)*cosh(x)**2 + 24*b**3*cosh(x)**3) - sinh(x)**3/(-24*b**3*sinh(x)**3 + 72*b**3*sinh(x)**2*cosh(x) - 72*b**3*sinh(x)*cosh(x)**2 + 24*b**3*cosh(x)**3) + 6*sinh(x)*cosh(x)**2/(-24*b**3*sinh(x)**3 + 72*b**3*sinh(x)**2*cosh(x) - 72*b**3*sinh(x)*cosh(x)**2 + 24*b**3*cosh(x)**3) - 9*cosh(x)**3/(-24*b**3*sinh(x)**3 + 72*b**3*sinh(x)**2*cosh(x) - 72*b**3*sinh(x)*cosh(x)**2 + 24*b**3*cosh(x)**3), Eq(a, -b)), (3*x*sinh(x)**3/(24*b**3*sinh(x)**3 + 72*b**3*sinh(x)**2*cosh(x) + 72*b**3*sinh(x)*cosh(x)**2 + 24*b**3*cosh(x)**3) + 9*x*sinh(x)**2*cosh(x)/(24*b**3*sinh(x)**3 + 72*b**3*sinh(x)**2*cosh(x) + 72*b**3*sinh(x)*cosh(x)**2 + 24*b**3*cosh(x)**3) + 9*x*sinh(x)*cosh(x)**2/(24*b**3*sinh(x)**3 + 72*b**3*sinh(x)**2*cosh(x) + 72*b**3*sinh(x)*cosh(x)**2 + 24*b**3*cosh(x)**3) + 3*x*cosh(x)**3/(24*b**3*sinh(x)**3 + 72*b**3*sinh(x)**2*cosh(x) + 72*b**3*sinh(x)*cosh(x)**2 + 24*b**3*cosh(x)**3) + sinh(x)**3/(24*b**3*sinh(x)**3 + 72*b**3*sinh(x)**2*cosh(x) + 72*b**3*sinh(x)*cosh(x)**2 + 24*b**3*cosh(x)**3) - 6*sinh(x)*cosh(x)**2/(24*b**3*sinh(x)**3 + 72*b**3*sinh(x)**2*cosh(x) + 72*b**3*sinh(x)*cosh(x)**2 + 24*b**3*cosh(x)**3) - 9*cosh(x)**3/(24*b**3*sinh(x)**3 + 72*b**3*sinh(x)**2*cosh(x) + 72*b**3*sinh(x)*cosh(x)**2 + 24*b**3*cosh(x)**3), Eq(a, b)), ((log(sinh(x)) - cosh(x)**2/(2*sinh(x)**2))/b**3, Eq(a, 0)), (2*a**5*x*cosh(x)**2/(2*a**8*cosh(x)**2 + 4*a**7*b*sinh(x)*cosh(x) + 2*a**6*b**2*sinh(x)**2 - 6*a**6*b**2*cosh(x)**2 - 12*a**5*b**3*sinh(x)*cosh(x) - 6*a**4*b**4*sinh(x)**2 + 6*a**4*b**4*cosh(x)**2 + 12*a**3*b**5*sinh(x)*cosh(x) + 6*a**2*b**6*sinh(x)**2 - 2*a**2*b**6*cosh(x)**2 - 4*a*b**7*sinh(x)*cosh(x) - 2*b**8*sinh(x)**2) + 4*a**4*b*x*sinh(x)*cosh(x)/(2*a**8*cosh(x)**2 + 4*a**7*b*sinh(x)*cosh(x) + 2*a**6*b**2*sinh(x)**2 - 6*a**6*b**2*cosh(x)**2 - 12*a**5*b**3*sinh(x)*cosh(x) - 6*a**4*b**4*sinh(x)**2 + 6*a**4*b**4*cosh(x)**2 + 12*a**3*b**5*sinh(x)*cosh(x) + 6*a**2*b**6*sinh(x)**2 - 2*a**2*b**6*cosh(x)**2 - 4*a*b**7*sinh(x)*cosh(x) - 2*b**8*sinh(x)**2) - 6*a**4*b*log(cosh(x) + b*sinh(x)/a)*cosh(x)**2/(2*a**8*cosh(x)**2 + 4*a**7*b*sinh(x)*cosh(x) + 2*a**6*b**2*sinh(x)**2 - 6*a**6*b**2*cosh(x)**2 - 12*a**5*b**3*sinh(x)*cosh(x) - 6*a**4*b**4*sinh(x)**2 + 6*a**4*b**4*cosh(x)**2 + 12*a**3*b**5*sinh(x)*cosh(x) + 6*a**2*b**6*sinh(x)**2 - 2*a**2*b**6*cosh(x)**2 - 4*a*b**7*sinh(x)*cosh(x) - 2*b**8*sinh(x)**2) + 3*a**4*b*cosh(x)**2/(2*a**8*cosh(x)**2 + 4*a**7*b*sinh(x)*cosh(x) + 2*a**6*b**2*sinh(x)**2 - 6*a**6*b**2*cosh(x)**2 - 12*a**5*b**3*sinh(x)*cosh(x) - 6*a**4*b**4*sinh(x)**2 + 6*a**4*b**4*cosh(x)**2 + 12*a**3*b**5*sinh(x)*cosh(x) + 6*a**2*b**6*sinh(x)**2 - 2*a**2*b**6*cosh(x)**2 - 4*a*b**7*sinh(x)*cosh(x) - 2*b**8*sinh(x)**2) + 2*a**3*b**2*x*sinh(x)**2/(2*a**8*cosh(x)**2 + 4*a**7*b*sinh(x)*cosh(x) + 2*a**6*b**2*sinh(x)**2 - 6*a**6*b**2*cosh(x)**2 - 12*a**5*b**3*sinh(x)*cosh(x) - 6*a**4*b**4*sinh(x)**2 + 6*a**4*b**4*cosh(x)**2 + 12*a**3*b**5*sinh(x)*cosh(x) + 6*a**2*b**6*sinh(x)**2 - 2*a**2*b**6*cosh(x)**2 - 4*a*b**7*sinh(x)*cosh(x) - 2*b**8*sinh(x)**2) + 6*a**3*b**2*x*cosh(x)**2/(2*a**8*cosh(x)**2 + 4*a**7*b*sinh(x)*cosh(x) + 2*a**6*b**2*sinh(x)**2 - 6*a**6*b**2*cosh(x)**2 - 12*a**5*b**3*sinh(x)*cosh(x) - 6*a**4*b**4*sinh(x)**2 + 6*a**4*b**4*cosh(x)**2 + 12*a**3*b**5*sinh(x)*cosh(x) + 6*a**2*b**6*sinh(x)**2 - 2*a**2*b**6*cosh(x)**2 - 4*a*b**7*sinh(x)*cosh(x) - 2*b**8*sinh(x)**2) - 12*a**3*b**2*log(cosh(x) + b*sinh(x)/a)*sinh(x)*cosh(x)/(2*a**8*cosh(x)**2 + 4*a**7*b*sinh(x)*cosh(x) + 2*a**6*b**2*sinh(x)**2 - 6*a**6*b**2*cosh(x)**2 - 12*a**5*b**3*sinh(x)*cosh(x) - 6*a**4*b**4*sinh(x)**2 + 6*a**4*b**4*cosh(x)**2 + 12*a**3*b**5*sinh(x)*cosh(x) + 6*a**2*b**6*sinh(x)**2 - 2*a**2*b**6*cosh(x)**2 - 4*a*b**7*sinh(x)*cosh(x) - 2*b**8*sinh(x)**2) + 12*a**2*b**3*x*sinh(x)*cosh(x)/(2*a**8*cosh(x)**2 + 4*a**7*b*sinh(x)*cosh(x) + 2*a**6*b**2*sinh(x)**2 - 6*a**6*b**2*cosh(x)**2 - 12*a**5*b**3*sinh(x)*cosh(x) - 6*a**4*b**4*sinh(x)**2 + 6*a**4*b**4*cosh(x)**2 + 12*a**3*b**5*sinh(x)*cosh(x) + 6*a**2*b**6*sinh(x)**2 - 2*a**2*b**6*cosh(x)**2 - 4*a*b**7*sinh(x)*cosh(x) - 2*b**8*sinh(x)**2) - 6*a**2*b**3*log(cosh(x) + b*sinh(x)/a)*sinh(x)**2/(2*a**8*cosh(x)**2 + 4*a**7*b*sinh(x)*cosh(x) + 2*a**6*b**2*sinh(x)**2 - 6*a**6*b**2*cosh(x)**2 - 12*a**5*b**3*sinh(x)*cosh(x) - 6*a**4*b**4*sinh(x)**2 + 6*a**4*b**4*cosh(x)**2 + 12*a**3*b**5*sinh(x)*cosh(x) + 6*a**2*b**6*sinh(x)**2 - 2*a**2*b**6*cosh(x)**2 - 4*a*b**7*sinh(x)*cosh(x) - 2*b**8*sinh(x)**2) - 2*a**2*b**3*log(cosh(x) + b*sinh(x)/a)*cosh(x)**2/(2*a**8*cosh(x)**2 + 4*a**7*b*sinh(x)*cosh(x) + 2*a**6*b**2*sinh(x)**2 - 6*a**6*b**2*cosh(x)**2 - 12*a**5*b**3*sinh(x)*cosh(x) - 6*a**4*b**4*sinh(x)**2 + 6*a**4*b**4*cosh(x)**2 + 12*a**3*b**5*sinh(x)*cosh(x) + 6*a**2*b**6*sinh(x)**2 - 2*a**2*b**6*cosh(x)**2 - 4*a*b**7*sinh(x)*cosh(x) - 2*b**8*sinh(x)**2) - 2*a**2*b**3*sinh(x)**2/(2*a**8*cosh(x)**2 + 4*a**7*b*sinh(x)*cosh(x) + 2*a**6*b**2*sinh(x)**2 - 6*a**6*b**2*cosh(x)**2 - 12*a**5*b**3*sinh(x)*cosh(x) - 6*a**4*b**4*sinh(x)**2 + 6*a**4*b**4*cosh(x)**2 + 12*a**3*b**5*sinh(x)*cosh(x) + 6*a**2*b**6*sinh(x)**2 - 2*a**2*b**6*cosh(x)**2 - 4*a*b**7*sinh(x)*cosh(x) - 2*b**8*sinh(x)**2) - 4*a**2*b**3*cosh(x)**2/(2*a**8*cosh(x)**2 + 4*a**7*b*sinh(x)*cosh(x) + 2*a**6*b**2*sinh(x)**2 - 6*a**6*b**2*cosh(x)**2 - 12*a**5*b**3*sinh(x)*cosh(x) - 6*a**4*b**4*sinh(x)**2 + 6*a**4*b**4*cosh(x)**2 + 12*a**3*b**5*sinh(x)*cosh(x) + 6*a**2*b**6*sinh(x)**2 - 2*a**2*b**6*cosh(x)**2 - 4*a*b**7*sinh(x)*cosh(x) - 2*b**8*sinh(x)**2) + 6*a*b**4*x*sinh(x)**2/(2*a**8*cosh(x)**2 + 4*a**7*b*sinh(x)*cosh(x) + 2*a**6*b**2*sinh(x)**2 - 6*a**6*b**2*cosh(x)**2 - 12*a**5*b**3*sinh(x)*cosh(x) - 6*a**4*b**4*sinh(x)**2 + 6*a**4*b**4*cosh(x)**2 + 12*a**3*b**5*sinh(x)*cosh(x) + 6*a**2*b**6*sinh(x)**2 - 2*a**2*b**6*cosh(x)**2 - 4*a*b**7*sinh(x)*cosh(x) - 2*b**8*sinh(x)**2) - 4*a*b**4*log(cosh(x) + b*sinh(x)/a)*sinh(x)*cosh(x)/(2*a**8*cosh(x)**2 + 4*a**7*b*sinh(x)*cosh(x) + 2*a**6*b**2*sinh(x)**2 - 6*a**6*b**2*cosh(x)**2 - 12*a**5*b**3*sinh(x)*cosh(x) - 6*a**4*b**4*sinh(x)**2 + 6*a**4*b**4*cosh(x)**2 + 12*a**3*b**5*sinh(x)*cosh(x) + 6*a**2*b**6*sinh(x)**2 - 2*a**2*b**6*cosh(x)**2 - 4*a*b**7*sinh(x)*cosh(x) - 2*b**8*sinh(x)**2) - 2*b**5*log(cosh(x) + b*sinh(x)/a)*sinh(x)**2/(2*a**8*cosh(x)**2 + 4*a**7*b*sinh(x)*cosh(x) + 2*a**6*b**2*sinh(x)**2 - 6*a**6*b**2*cosh(x)**2 - 12*a**5*b**3*sinh(x)*cosh(x) - 6*a**4*b**4*sinh(x)**2 + 6*a**4*b**4*cosh(x)**2 + 12*a**3*b**5*sinh(x)*cosh(x) + 6*a**2*b**6*sinh(x)**2 - 2*a**2*b**6*cosh(x)**2 - 4*a*b**7*sinh(x)*cosh(x) - 2*b**8*sinh(x)**2) + 2*b**5*sinh(x)**2/(2*a**8*cosh(x)**2 + 4*a**7*b*sinh(x)*cosh(x) + 2*a**6*b**2*sinh(x)**2 - 6*a**6*b**2*cosh(x)**2 - 12*a**5*b**3*sinh(x)*cosh(x) - 6*a**4*b**4*sinh(x)**2 + 6*a**4*b**4*cosh(x)**2 + 12*a**3*b**5*sinh(x)*cosh(x) + 6*a**2*b**6*sinh(x)**2 - 2*a**2*b**6*cosh(x)**2 - 4*a*b**7*sinh(x)*cosh(x) - 2*b**8*sinh(x)**2) + b**5*cosh(x)**2/(2*a**8*cosh(x)**2 + 4*a**7*b*sinh(x)*cosh(x) + 2*a**6*b**2*sinh(x)**2 - 6*a**6*b**2*cosh(x)**2 - 12*a**5*b**3*sinh(x)*cosh(x) - 6*a**4*b**4*sinh(x)**2 + 6*a**4*b**4*cosh(x)**2 + 12*a**3*b**5*sinh(x)*cosh(x) + 6*a**2*b**6*sinh(x)**2 - 2*a**2*b**6*cosh(x)**2 - 4*a*b**7*sinh(x)*cosh(x) - 2*b**8*sinh(x)**2), True))","A",0
706,-1,0,0,0.000000," ","integrate(cosh(x)*sinh(x)/(a*cosh(x)+b*sinh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
707,-1,0,0,0.000000," ","integrate(cosh(x)*sinh(x)**2/(a*cosh(x)+b*sinh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
708,-1,0,0,0.000000," ","integrate(cosh(x)*sinh(x)**3/(a*cosh(x)+b*sinh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
709,-1,0,0,0.000000," ","integrate(cosh(x)**2*sinh(x)/(a*cosh(x)+b*sinh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
710,-1,0,0,0.000000," ","integrate(cosh(x)**2*sinh(x)**2/(a*cosh(x)+b*sinh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
711,-1,0,0,0.000000," ","integrate(cosh(x)**2*sinh(x)**3/(a*cosh(x)+b*sinh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
712,-1,0,0,0.000000," ","integrate(cosh(x)**3*sinh(x)/(a*cosh(x)+b*sinh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
713,-1,0,0,0.000000," ","integrate(cosh(x)**3*sinh(x)**2/(a*cosh(x)+b*sinh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
714,-1,0,0,0.000000," ","integrate(cosh(x)**3*sinh(x)**3/(a*cosh(x)+b*sinh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
715,1,962,0,1.386121," ","integrate(cosh(x)*sinh(x)/(a*cosh(x)+b*sinh(x))**2,x)","\begin{cases} \tilde{\infty} \log{\left(\sinh{\left(x \right)} \right)} & \text{for}\: a = 0 \wedge b = 0 \\- \frac{2 x \sinh^{2}{\left(x \right)}}{8 b^{2} \sinh^{2}{\left(x \right)} - 16 b^{2} \sinh{\left(x \right)} \cosh{\left(x \right)} + 8 b^{2} \cosh^{2}{\left(x \right)}} + \frac{4 x \sinh{\left(x \right)} \cosh{\left(x \right)}}{8 b^{2} \sinh^{2}{\left(x \right)} - 16 b^{2} \sinh{\left(x \right)} \cosh{\left(x \right)} + 8 b^{2} \cosh^{2}{\left(x \right)}} - \frac{2 x \cosh^{2}{\left(x \right)}}{8 b^{2} \sinh^{2}{\left(x \right)} - 16 b^{2} \sinh{\left(x \right)} \cosh{\left(x \right)} + 8 b^{2} \cosh^{2}{\left(x \right)}} + \frac{\sinh^{2}{\left(x \right)}}{8 b^{2} \sinh^{2}{\left(x \right)} - 16 b^{2} \sinh{\left(x \right)} \cosh{\left(x \right)} + 8 b^{2} \cosh^{2}{\left(x \right)}} + \frac{\cosh^{2}{\left(x \right)}}{8 b^{2} \sinh^{2}{\left(x \right)} - 16 b^{2} \sinh{\left(x \right)} \cosh{\left(x \right)} + 8 b^{2} \cosh^{2}{\left(x \right)}} & \text{for}\: a = - b \\\frac{2 x \sinh^{2}{\left(x \right)}}{8 b^{2} \sinh^{2}{\left(x \right)} + 16 b^{2} \sinh{\left(x \right)} \cosh{\left(x \right)} + 8 b^{2} \cosh^{2}{\left(x \right)}} + \frac{4 x \sinh{\left(x \right)} \cosh{\left(x \right)}}{8 b^{2} \sinh^{2}{\left(x \right)} + 16 b^{2} \sinh{\left(x \right)} \cosh{\left(x \right)} + 8 b^{2} \cosh^{2}{\left(x \right)}} + \frac{2 x \cosh^{2}{\left(x \right)}}{8 b^{2} \sinh^{2}{\left(x \right)} + 16 b^{2} \sinh{\left(x \right)} \cosh{\left(x \right)} + 8 b^{2} \cosh^{2}{\left(x \right)}} + \frac{\sinh^{2}{\left(x \right)}}{8 b^{2} \sinh^{2}{\left(x \right)} + 16 b^{2} \sinh{\left(x \right)} \cosh{\left(x \right)} + 8 b^{2} \cosh^{2}{\left(x \right)}} + \frac{\cosh^{2}{\left(x \right)}}{8 b^{2} \sinh^{2}{\left(x \right)} + 16 b^{2} \sinh{\left(x \right)} \cosh{\left(x \right)} + 8 b^{2} \cosh^{2}{\left(x \right)}} & \text{for}\: a = b \\\frac{\log{\left(\sinh{\left(x \right)} \right)}}{b^{2}} & \text{for}\: a = 0 \\\frac{a^{3} \log{\left(\cosh{\left(x \right)} + \frac{b \sinh{\left(x \right)}}{a} \right)} \cosh{\left(x \right)}}{a^{5} \cosh{\left(x \right)} + a^{4} b \sinh{\left(x \right)} - 2 a^{3} b^{2} \cosh{\left(x \right)} - 2 a^{2} b^{3} \sinh{\left(x \right)} + a b^{4} \cosh{\left(x \right)} + b^{5} \sinh{\left(x \right)}} - \frac{a^{3} \cosh{\left(x \right)}}{a^{5} \cosh{\left(x \right)} + a^{4} b \sinh{\left(x \right)} - 2 a^{3} b^{2} \cosh{\left(x \right)} - 2 a^{2} b^{3} \sinh{\left(x \right)} + a b^{4} \cosh{\left(x \right)} + b^{5} \sinh{\left(x \right)}} - \frac{2 a^{2} b x \cosh{\left(x \right)}}{a^{5} \cosh{\left(x \right)} + a^{4} b \sinh{\left(x \right)} - 2 a^{3} b^{2} \cosh{\left(x \right)} - 2 a^{2} b^{3} \sinh{\left(x \right)} + a b^{4} \cosh{\left(x \right)} + b^{5} \sinh{\left(x \right)}} + \frac{a^{2} b \log{\left(\cosh{\left(x \right)} + \frac{b \sinh{\left(x \right)}}{a} \right)} \sinh{\left(x \right)}}{a^{5} \cosh{\left(x \right)} + a^{4} b \sinh{\left(x \right)} - 2 a^{3} b^{2} \cosh{\left(x \right)} - 2 a^{2} b^{3} \sinh{\left(x \right)} + a b^{4} \cosh{\left(x \right)} + b^{5} \sinh{\left(x \right)}} - \frac{2 a b^{2} x \sinh{\left(x \right)}}{a^{5} \cosh{\left(x \right)} + a^{4} b \sinh{\left(x \right)} - 2 a^{3} b^{2} \cosh{\left(x \right)} - 2 a^{2} b^{3} \sinh{\left(x \right)} + a b^{4} \cosh{\left(x \right)} + b^{5} \sinh{\left(x \right)}} + \frac{a b^{2} \log{\left(\cosh{\left(x \right)} + \frac{b \sinh{\left(x \right)}}{a} \right)} \cosh{\left(x \right)}}{a^{5} \cosh{\left(x \right)} + a^{4} b \sinh{\left(x \right)} - 2 a^{3} b^{2} \cosh{\left(x \right)} - 2 a^{2} b^{3} \sinh{\left(x \right)} + a b^{4} \cosh{\left(x \right)} + b^{5} \sinh{\left(x \right)}} + \frac{a b^{2} \cosh{\left(x \right)}}{a^{5} \cosh{\left(x \right)} + a^{4} b \sinh{\left(x \right)} - 2 a^{3} b^{2} \cosh{\left(x \right)} - 2 a^{2} b^{3} \sinh{\left(x \right)} + a b^{4} \cosh{\left(x \right)} + b^{5} \sinh{\left(x \right)}} + \frac{b^{3} \log{\left(\cosh{\left(x \right)} + \frac{b \sinh{\left(x \right)}}{a} \right)} \sinh{\left(x \right)}}{a^{5} \cosh{\left(x \right)} + a^{4} b \sinh{\left(x \right)} - 2 a^{3} b^{2} \cosh{\left(x \right)} - 2 a^{2} b^{3} \sinh{\left(x \right)} + a b^{4} \cosh{\left(x \right)} + b^{5} \sinh{\left(x \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*log(sinh(x)), Eq(a, 0) & Eq(b, 0)), (-2*x*sinh(x)**2/(8*b**2*sinh(x)**2 - 16*b**2*sinh(x)*cosh(x) + 8*b**2*cosh(x)**2) + 4*x*sinh(x)*cosh(x)/(8*b**2*sinh(x)**2 - 16*b**2*sinh(x)*cosh(x) + 8*b**2*cosh(x)**2) - 2*x*cosh(x)**2/(8*b**2*sinh(x)**2 - 16*b**2*sinh(x)*cosh(x) + 8*b**2*cosh(x)**2) + sinh(x)**2/(8*b**2*sinh(x)**2 - 16*b**2*sinh(x)*cosh(x) + 8*b**2*cosh(x)**2) + cosh(x)**2/(8*b**2*sinh(x)**2 - 16*b**2*sinh(x)*cosh(x) + 8*b**2*cosh(x)**2), Eq(a, -b)), (2*x*sinh(x)**2/(8*b**2*sinh(x)**2 + 16*b**2*sinh(x)*cosh(x) + 8*b**2*cosh(x)**2) + 4*x*sinh(x)*cosh(x)/(8*b**2*sinh(x)**2 + 16*b**2*sinh(x)*cosh(x) + 8*b**2*cosh(x)**2) + 2*x*cosh(x)**2/(8*b**2*sinh(x)**2 + 16*b**2*sinh(x)*cosh(x) + 8*b**2*cosh(x)**2) + sinh(x)**2/(8*b**2*sinh(x)**2 + 16*b**2*sinh(x)*cosh(x) + 8*b**2*cosh(x)**2) + cosh(x)**2/(8*b**2*sinh(x)**2 + 16*b**2*sinh(x)*cosh(x) + 8*b**2*cosh(x)**2), Eq(a, b)), (log(sinh(x))/b**2, Eq(a, 0)), (a**3*log(cosh(x) + b*sinh(x)/a)*cosh(x)/(a**5*cosh(x) + a**4*b*sinh(x) - 2*a**3*b**2*cosh(x) - 2*a**2*b**3*sinh(x) + a*b**4*cosh(x) + b**5*sinh(x)) - a**3*cosh(x)/(a**5*cosh(x) + a**4*b*sinh(x) - 2*a**3*b**2*cosh(x) - 2*a**2*b**3*sinh(x) + a*b**4*cosh(x) + b**5*sinh(x)) - 2*a**2*b*x*cosh(x)/(a**5*cosh(x) + a**4*b*sinh(x) - 2*a**3*b**2*cosh(x) - 2*a**2*b**3*sinh(x) + a*b**4*cosh(x) + b**5*sinh(x)) + a**2*b*log(cosh(x) + b*sinh(x)/a)*sinh(x)/(a**5*cosh(x) + a**4*b*sinh(x) - 2*a**3*b**2*cosh(x) - 2*a**2*b**3*sinh(x) + a*b**4*cosh(x) + b**5*sinh(x)) - 2*a*b**2*x*sinh(x)/(a**5*cosh(x) + a**4*b*sinh(x) - 2*a**3*b**2*cosh(x) - 2*a**2*b**3*sinh(x) + a*b**4*cosh(x) + b**5*sinh(x)) + a*b**2*log(cosh(x) + b*sinh(x)/a)*cosh(x)/(a**5*cosh(x) + a**4*b*sinh(x) - 2*a**3*b**2*cosh(x) - 2*a**2*b**3*sinh(x) + a*b**4*cosh(x) + b**5*sinh(x)) + a*b**2*cosh(x)/(a**5*cosh(x) + a**4*b*sinh(x) - 2*a**3*b**2*cosh(x) - 2*a**2*b**3*sinh(x) + a*b**4*cosh(x) + b**5*sinh(x)) + b**3*log(cosh(x) + b*sinh(x)/a)*sinh(x)/(a**5*cosh(x) + a**4*b*sinh(x) - 2*a**3*b**2*cosh(x) - 2*a**2*b**3*sinh(x) + a*b**4*cosh(x) + b**5*sinh(x)), True))","A",0
716,-1,0,0,0.000000," ","integrate(cosh(x)*sinh(x)**2/(a*cosh(x)+b*sinh(x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
717,-1,0,0,0.000000," ","integrate(cosh(x)*sinh(x)**3/(a*cosh(x)+b*sinh(x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
718,-1,0,0,0.000000," ","integrate(cosh(x)**2*sinh(x)/(a*cosh(x)+b*sinh(x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
719,-1,0,0,0.000000," ","integrate(cosh(x)**2*sinh(x)**2/(a*cosh(x)+b*sinh(x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
720,-1,0,0,0.000000," ","integrate(cosh(x)**2*sinh(x)**3/(a*cosh(x)+b*sinh(x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
721,-1,0,0,0.000000," ","integrate(cosh(x)**3*sinh(x)/(a*cosh(x)+b*sinh(x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
722,-1,0,0,0.000000," ","integrate(cosh(x)**3*sinh(x)**2/(a*cosh(x)+b*sinh(x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
723,-1,0,0,0.000000," ","integrate(cosh(x)**3*sinh(x)**3/(a*cosh(x)+b*sinh(x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
724,1,367,0,53.135868," ","integrate((A+C*sinh(x))/(b*cosh(x)+c*sinh(x)),x)","\begin{cases} \tilde{\infty} \left(A \log{\left(\tanh{\left(\frac{x}{2} \right)} \right)} + C x\right) & \text{for}\: b = 0 \wedge c = 0 \\- \frac{2 A}{- 2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} - \frac{C x \sinh{\left(x \right)}}{- 2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} + \frac{C x \cosh{\left(x \right)}}{- 2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} - \frac{C \cosh{\left(x \right)}}{- 2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} & \text{for}\: b = - c \\- \frac{2 A}{2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} + \frac{C x \sinh{\left(x \right)}}{2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} + \frac{C x \cosh{\left(x \right)}}{2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} + \frac{C \cosh{\left(x \right)}}{2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} & \text{for}\: b = c \\\frac{A \log{\left(\tanh{\left(\frac{x}{2} \right)} \right)} + C x}{c} & \text{for}\: b = 0 \\- \frac{A \sqrt{- b^{2} + c^{2}} \log{\left(\tanh{\left(\frac{x}{2} \right)} + \frac{c}{b} - \frac{\sqrt{- b^{2} + c^{2}}}{b} \right)}}{b^{2} - c^{2}} + \frac{A \sqrt{- b^{2} + c^{2}} \log{\left(\tanh{\left(\frac{x}{2} \right)} + \frac{c}{b} + \frac{\sqrt{- b^{2} + c^{2}}}{b} \right)}}{b^{2} - c^{2}} + \frac{C b x}{b^{2} - c^{2}} - \frac{2 C b \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{b^{2} - c^{2}} + \frac{C b \log{\left(\tanh{\left(\frac{x}{2} \right)} + \frac{c}{b} - \frac{\sqrt{- b^{2} + c^{2}}}{b} \right)}}{b^{2} - c^{2}} + \frac{C b \log{\left(\tanh{\left(\frac{x}{2} \right)} + \frac{c}{b} + \frac{\sqrt{- b^{2} + c^{2}}}{b} \right)}}{b^{2} - c^{2}} - \frac{C c x}{b^{2} - c^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(A*log(tanh(x/2)) + C*x), Eq(b, 0) & Eq(c, 0)), (-2*A/(-2*c*sinh(x) + 2*c*cosh(x)) - C*x*sinh(x)/(-2*c*sinh(x) + 2*c*cosh(x)) + C*x*cosh(x)/(-2*c*sinh(x) + 2*c*cosh(x)) - C*cosh(x)/(-2*c*sinh(x) + 2*c*cosh(x)), Eq(b, -c)), (-2*A/(2*c*sinh(x) + 2*c*cosh(x)) + C*x*sinh(x)/(2*c*sinh(x) + 2*c*cosh(x)) + C*x*cosh(x)/(2*c*sinh(x) + 2*c*cosh(x)) + C*cosh(x)/(2*c*sinh(x) + 2*c*cosh(x)), Eq(b, c)), ((A*log(tanh(x/2)) + C*x)/c, Eq(b, 0)), (-A*sqrt(-b**2 + c**2)*log(tanh(x/2) + c/b - sqrt(-b**2 + c**2)/b)/(b**2 - c**2) + A*sqrt(-b**2 + c**2)*log(tanh(x/2) + c/b + sqrt(-b**2 + c**2)/b)/(b**2 - c**2) + C*b*x/(b**2 - c**2) - 2*C*b*log(tanh(x/2) + 1)/(b**2 - c**2) + C*b*log(tanh(x/2) + c/b - sqrt(-b**2 + c**2)/b)/(b**2 - c**2) + C*b*log(tanh(x/2) + c/b + sqrt(-b**2 + c**2)/b)/(b**2 - c**2) - C*c*x/(b**2 - c**2), True))","A",0
725,-1,0,0,0.000000," ","integrate((A+C*sinh(x))/(b*cosh(x)+c*sinh(x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
726,-1,0,0,0.000000," ","integrate((A+C*sinh(x))/(b*cosh(x)+c*sinh(x))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
727,1,697,0,50.439661," ","integrate((A+B*cosh(x))/(b*cosh(x)+c*sinh(x)),x)","\begin{cases} \tilde{\infty} \left(A \log{\left(\tanh{\left(\frac{x}{2} \right)} \right)} + B x - 2 B \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} + B \log{\left(\tanh{\left(\frac{x}{2} \right)} \right)}\right) & \text{for}\: b = 0 \wedge c = 0 \\\frac{A \log{\left(\tanh{\left(\frac{x}{2} \right)} \right)} + B x - 2 B \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} + B \log{\left(\tanh{\left(\frac{x}{2} \right)} \right)}}{c} & \text{for}\: b = 0 \\- \frac{2 A}{- 2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} + \frac{B x \sinh{\left(x \right)}}{- 2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} - \frac{B x \cosh{\left(x \right)}}{- 2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} - \frac{B \cosh{\left(x \right)}}{- 2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} & \text{for}\: b = - c \\- \frac{2 A}{2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} + \frac{B x \sinh{\left(x \right)}}{2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} + \frac{B x \cosh{\left(x \right)}}{2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} - \frac{B \cosh{\left(x \right)}}{2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} & \text{for}\: b = c \\\frac{A b^{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} + \frac{c}{b} - \frac{\sqrt{- b^{2} + c^{2}}}{b} \right)}}{b^{2} \sqrt{- b^{2} + c^{2}} - c^{2} \sqrt{- b^{2} + c^{2}}} - \frac{A b^{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} + \frac{c}{b} + \frac{\sqrt{- b^{2} + c^{2}}}{b} \right)}}{b^{2} \sqrt{- b^{2} + c^{2}} - c^{2} \sqrt{- b^{2} + c^{2}}} - \frac{A c^{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} + \frac{c}{b} - \frac{\sqrt{- b^{2} + c^{2}}}{b} \right)}}{b^{2} \sqrt{- b^{2} + c^{2}} - c^{2} \sqrt{- b^{2} + c^{2}}} + \frac{A c^{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} + \frac{c}{b} + \frac{\sqrt{- b^{2} + c^{2}}}{b} \right)}}{b^{2} \sqrt{- b^{2} + c^{2}} - c^{2} \sqrt{- b^{2} + c^{2}}} + \frac{B b x \sqrt{- b^{2} + c^{2}}}{b^{2} \sqrt{- b^{2} + c^{2}} - c^{2} \sqrt{- b^{2} + c^{2}}} - \frac{B c x \sqrt{- b^{2} + c^{2}}}{b^{2} \sqrt{- b^{2} + c^{2}} - c^{2} \sqrt{- b^{2} + c^{2}}} + \frac{2 B c \sqrt{- b^{2} + c^{2}} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{b^{2} \sqrt{- b^{2} + c^{2}} - c^{2} \sqrt{- b^{2} + c^{2}}} - \frac{B c \sqrt{- b^{2} + c^{2}} \log{\left(\tanh{\left(\frac{x}{2} \right)} + \frac{c}{b} - \frac{\sqrt{- b^{2} + c^{2}}}{b} \right)}}{b^{2} \sqrt{- b^{2} + c^{2}} - c^{2} \sqrt{- b^{2} + c^{2}}} - \frac{B c \sqrt{- b^{2} + c^{2}} \log{\left(\tanh{\left(\frac{x}{2} \right)} + \frac{c}{b} + \frac{\sqrt{- b^{2} + c^{2}}}{b} \right)}}{b^{2} \sqrt{- b^{2} + c^{2}} - c^{2} \sqrt{- b^{2} + c^{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(A*log(tanh(x/2)) + B*x - 2*B*log(tanh(x/2) + 1) + B*log(tanh(x/2))), Eq(b, 0) & Eq(c, 0)), ((A*log(tanh(x/2)) + B*x - 2*B*log(tanh(x/2) + 1) + B*log(tanh(x/2)))/c, Eq(b, 0)), (-2*A/(-2*c*sinh(x) + 2*c*cosh(x)) + B*x*sinh(x)/(-2*c*sinh(x) + 2*c*cosh(x)) - B*x*cosh(x)/(-2*c*sinh(x) + 2*c*cosh(x)) - B*cosh(x)/(-2*c*sinh(x) + 2*c*cosh(x)), Eq(b, -c)), (-2*A/(2*c*sinh(x) + 2*c*cosh(x)) + B*x*sinh(x)/(2*c*sinh(x) + 2*c*cosh(x)) + B*x*cosh(x)/(2*c*sinh(x) + 2*c*cosh(x)) - B*cosh(x)/(2*c*sinh(x) + 2*c*cosh(x)), Eq(b, c)), (A*b**2*log(tanh(x/2) + c/b - sqrt(-b**2 + c**2)/b)/(b**2*sqrt(-b**2 + c**2) - c**2*sqrt(-b**2 + c**2)) - A*b**2*log(tanh(x/2) + c/b + sqrt(-b**2 + c**2)/b)/(b**2*sqrt(-b**2 + c**2) - c**2*sqrt(-b**2 + c**2)) - A*c**2*log(tanh(x/2) + c/b - sqrt(-b**2 + c**2)/b)/(b**2*sqrt(-b**2 + c**2) - c**2*sqrt(-b**2 + c**2)) + A*c**2*log(tanh(x/2) + c/b + sqrt(-b**2 + c**2)/b)/(b**2*sqrt(-b**2 + c**2) - c**2*sqrt(-b**2 + c**2)) + B*b*x*sqrt(-b**2 + c**2)/(b**2*sqrt(-b**2 + c**2) - c**2*sqrt(-b**2 + c**2)) - B*c*x*sqrt(-b**2 + c**2)/(b**2*sqrt(-b**2 + c**2) - c**2*sqrt(-b**2 + c**2)) + 2*B*c*sqrt(-b**2 + c**2)*log(tanh(x/2) + 1)/(b**2*sqrt(-b**2 + c**2) - c**2*sqrt(-b**2 + c**2)) - B*c*sqrt(-b**2 + c**2)*log(tanh(x/2) + c/b - sqrt(-b**2 + c**2)/b)/(b**2*sqrt(-b**2 + c**2) - c**2*sqrt(-b**2 + c**2)) - B*c*sqrt(-b**2 + c**2)*log(tanh(x/2) + c/b + sqrt(-b**2 + c**2)/b)/(b**2*sqrt(-b**2 + c**2) - c**2*sqrt(-b**2 + c**2)), True))","A",0
728,-1,0,0,0.000000," ","integrate((A+B*cosh(x))/(b*cosh(x)+c*sinh(x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
729,-1,0,0,0.000000," ","integrate((A+B*cosh(x))/(b*cosh(x)+c*sinh(x))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
730,1,8,0,0.351022," ","integrate((cosh(x)+sinh(x))/(cosh(x)-sinh(x)),x)","\frac{\cosh{\left(x \right)}}{- \sinh{\left(x \right)} + \cosh{\left(x \right)}}"," ",0,"cosh(x)/(-sinh(x) + cosh(x))","A",0
731,1,10,0,0.310566," ","integrate((cosh(x)-sinh(x))/(cosh(x)+sinh(x)),x)","- \frac{\cosh{\left(x \right)}}{\sinh{\left(x \right)} + \cosh{\left(x \right)}}"," ",0,"-cosh(x)/(sinh(x) + cosh(x))","A",0
732,1,14,0,0.123850," ","integrate((cosh(x)-I*sinh(x))/(cosh(x)+I*sinh(x)),x)","x \left(-2 - i\right) + \log{\left(e^{2 x} - i \right)}"," ",0,"x*(-2 - I) + log(exp(2*x) - I)","A",0
733,1,326,0,0.705165," ","integrate((B*cosh(x)+C*sinh(x))/(b*cosh(x)+c*sinh(x)),x)","\begin{cases} \tilde{\infty} \left(B \log{\left(\sinh{\left(x \right)} \right)} + C x\right) & \text{for}\: b = 0 \wedge c = 0 \\\frac{B x \sinh{\left(x \right)}}{- 2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} - \frac{B x \cosh{\left(x \right)}}{- 2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} - \frac{B \cosh{\left(x \right)}}{- 2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} - \frac{C x \sinh{\left(x \right)}}{- 2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} + \frac{C x \cosh{\left(x \right)}}{- 2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} - \frac{C \cosh{\left(x \right)}}{- 2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} & \text{for}\: b = - c \\\frac{B x \sinh{\left(x \right)}}{2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} + \frac{B x \cosh{\left(x \right)}}{2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} - \frac{B \cosh{\left(x \right)}}{2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} + \frac{C x \sinh{\left(x \right)}}{2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} + \frac{C x \cosh{\left(x \right)}}{2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} + \frac{C \cosh{\left(x \right)}}{2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} & \text{for}\: b = c \\\frac{B \log{\left(\sinh{\left(x \right)} \right)} + C x}{c} & \text{for}\: b = 0 \\\frac{B b x}{b^{2} - c^{2}} - \frac{B c \log{\left(\cosh{\left(x \right)} + \frac{c \sinh{\left(x \right)}}{b} \right)}}{b^{2} - c^{2}} + \frac{C b \log{\left(\cosh{\left(x \right)} + \frac{c \sinh{\left(x \right)}}{b} \right)}}{b^{2} - c^{2}} - \frac{C c x}{b^{2} - c^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(B*log(sinh(x)) + C*x), Eq(b, 0) & Eq(c, 0)), (B*x*sinh(x)/(-2*c*sinh(x) + 2*c*cosh(x)) - B*x*cosh(x)/(-2*c*sinh(x) + 2*c*cosh(x)) - B*cosh(x)/(-2*c*sinh(x) + 2*c*cosh(x)) - C*x*sinh(x)/(-2*c*sinh(x) + 2*c*cosh(x)) + C*x*cosh(x)/(-2*c*sinh(x) + 2*c*cosh(x)) - C*cosh(x)/(-2*c*sinh(x) + 2*c*cosh(x)), Eq(b, -c)), (B*x*sinh(x)/(2*c*sinh(x) + 2*c*cosh(x)) + B*x*cosh(x)/(2*c*sinh(x) + 2*c*cosh(x)) - B*cosh(x)/(2*c*sinh(x) + 2*c*cosh(x)) + C*x*sinh(x)/(2*c*sinh(x) + 2*c*cosh(x)) + C*x*cosh(x)/(2*c*sinh(x) + 2*c*cosh(x)) + C*cosh(x)/(2*c*sinh(x) + 2*c*cosh(x)), Eq(b, c)), ((B*log(sinh(x)) + C*x)/c, Eq(b, 0)), (B*b*x/(b**2 - c**2) - B*c*log(cosh(x) + c*sinh(x)/b)/(b**2 - c**2) + C*b*log(cosh(x) + c*sinh(x)/b)/(b**2 - c**2) - C*c*x/(b**2 - c**2), True))","A",0
734,-1,0,0,0.000000," ","integrate((B*cosh(x)+C*sinh(x))/(b*cosh(x)+c*sinh(x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
735,-1,0,0,0.000000," ","integrate((B*cosh(x)+C*sinh(x))/(b*cosh(x)+c*sinh(x))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
736,1,643,0,49.361868," ","integrate((A+B*cosh(x)+C*sinh(x))/(b*cosh(x)+c*sinh(x)),x)","\begin{cases} \tilde{\infty} \left(A \log{\left(\tanh{\left(\frac{x}{2} \right)} \right)} + B x - 2 B \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} + B \log{\left(\tanh{\left(\frac{x}{2} \right)} \right)} + C x\right) & \text{for}\: b = 0 \wedge c = 0 \\- \frac{2 A}{- 2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} + \frac{B x \sinh{\left(x \right)}}{- 2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} - \frac{B x \cosh{\left(x \right)}}{- 2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} - \frac{B \cosh{\left(x \right)}}{- 2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} - \frac{C x \sinh{\left(x \right)}}{- 2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} + \frac{C x \cosh{\left(x \right)}}{- 2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} - \frac{C \cosh{\left(x \right)}}{- 2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} & \text{for}\: b = - c \\- \frac{2 A}{2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} + \frac{B x \sinh{\left(x \right)}}{2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} + \frac{B x \cosh{\left(x \right)}}{2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} - \frac{B \cosh{\left(x \right)}}{2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} + \frac{C x \sinh{\left(x \right)}}{2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} + \frac{C x \cosh{\left(x \right)}}{2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} + \frac{C \cosh{\left(x \right)}}{2 c \sinh{\left(x \right)} + 2 c \cosh{\left(x \right)}} & \text{for}\: b = c \\\frac{A \log{\left(\tanh{\left(\frac{x}{2} \right)} \right)} + B x - 2 B \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} + B \log{\left(\tanh{\left(\frac{x}{2} \right)} \right)} + C x}{c} & \text{for}\: b = 0 \\- \frac{A \sqrt{- b^{2} + c^{2}} \log{\left(\tanh{\left(\frac{x}{2} \right)} + \frac{c}{b} - \frac{\sqrt{- b^{2} + c^{2}}}{b} \right)}}{b^{2} - c^{2}} + \frac{A \sqrt{- b^{2} + c^{2}} \log{\left(\tanh{\left(\frac{x}{2} \right)} + \frac{c}{b} + \frac{\sqrt{- b^{2} + c^{2}}}{b} \right)}}{b^{2} - c^{2}} + \frac{B b x}{b^{2} - c^{2}} - \frac{B c x}{b^{2} - c^{2}} + \frac{2 B c \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{b^{2} - c^{2}} - \frac{B c \log{\left(\tanh{\left(\frac{x}{2} \right)} + \frac{c}{b} - \frac{\sqrt{- b^{2} + c^{2}}}{b} \right)}}{b^{2} - c^{2}} - \frac{B c \log{\left(\tanh{\left(\frac{x}{2} \right)} + \frac{c}{b} + \frac{\sqrt{- b^{2} + c^{2}}}{b} \right)}}{b^{2} - c^{2}} + \frac{C b x}{b^{2} - c^{2}} - \frac{2 C b \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{b^{2} - c^{2}} + \frac{C b \log{\left(\tanh{\left(\frac{x}{2} \right)} + \frac{c}{b} - \frac{\sqrt{- b^{2} + c^{2}}}{b} \right)}}{b^{2} - c^{2}} + \frac{C b \log{\left(\tanh{\left(\frac{x}{2} \right)} + \frac{c}{b} + \frac{\sqrt{- b^{2} + c^{2}}}{b} \right)}}{b^{2} - c^{2}} - \frac{C c x}{b^{2} - c^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(A*log(tanh(x/2)) + B*x - 2*B*log(tanh(x/2) + 1) + B*log(tanh(x/2)) + C*x), Eq(b, 0) & Eq(c, 0)), (-2*A/(-2*c*sinh(x) + 2*c*cosh(x)) + B*x*sinh(x)/(-2*c*sinh(x) + 2*c*cosh(x)) - B*x*cosh(x)/(-2*c*sinh(x) + 2*c*cosh(x)) - B*cosh(x)/(-2*c*sinh(x) + 2*c*cosh(x)) - C*x*sinh(x)/(-2*c*sinh(x) + 2*c*cosh(x)) + C*x*cosh(x)/(-2*c*sinh(x) + 2*c*cosh(x)) - C*cosh(x)/(-2*c*sinh(x) + 2*c*cosh(x)), Eq(b, -c)), (-2*A/(2*c*sinh(x) + 2*c*cosh(x)) + B*x*sinh(x)/(2*c*sinh(x) + 2*c*cosh(x)) + B*x*cosh(x)/(2*c*sinh(x) + 2*c*cosh(x)) - B*cosh(x)/(2*c*sinh(x) + 2*c*cosh(x)) + C*x*sinh(x)/(2*c*sinh(x) + 2*c*cosh(x)) + C*x*cosh(x)/(2*c*sinh(x) + 2*c*cosh(x)) + C*cosh(x)/(2*c*sinh(x) + 2*c*cosh(x)), Eq(b, c)), ((A*log(tanh(x/2)) + B*x - 2*B*log(tanh(x/2) + 1) + B*log(tanh(x/2)) + C*x)/c, Eq(b, 0)), (-A*sqrt(-b**2 + c**2)*log(tanh(x/2) + c/b - sqrt(-b**2 + c**2)/b)/(b**2 - c**2) + A*sqrt(-b**2 + c**2)*log(tanh(x/2) + c/b + sqrt(-b**2 + c**2)/b)/(b**2 - c**2) + B*b*x/(b**2 - c**2) - B*c*x/(b**2 - c**2) + 2*B*c*log(tanh(x/2) + 1)/(b**2 - c**2) - B*c*log(tanh(x/2) + c/b - sqrt(-b**2 + c**2)/b)/(b**2 - c**2) - B*c*log(tanh(x/2) + c/b + sqrt(-b**2 + c**2)/b)/(b**2 - c**2) + C*b*x/(b**2 - c**2) - 2*C*b*log(tanh(x/2) + 1)/(b**2 - c**2) + C*b*log(tanh(x/2) + c/b - sqrt(-b**2 + c**2)/b)/(b**2 - c**2) + C*b*log(tanh(x/2) + c/b + sqrt(-b**2 + c**2)/b)/(b**2 - c**2) - C*c*x/(b**2 - c**2), True))","A",0
737,-1,0,0,0.000000," ","integrate((A+B*cosh(x)+C*sinh(x))/(b*cosh(x)+c*sinh(x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
738,-1,0,0,0.000000," ","integrate((A+B*cosh(x)+C*sinh(x))/(b*cosh(x)+c*sinh(x))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
739,1,196,0,0.424591," ","integrate((a+b*cosh(x)+c*sinh(x))**3,x)","a^{3} x + 3 a^{2} b \sinh{\left(x \right)} + 3 a^{2} c \cosh{\left(x \right)} - \frac{3 a b^{2} x \sinh^{2}{\left(x \right)}}{2} + \frac{3 a b^{2} x \cosh^{2}{\left(x \right)}}{2} + \frac{3 a b^{2} \sinh{\left(x \right)} \cosh{\left(x \right)}}{2} + 3 a b c \cosh^{2}{\left(x \right)} + \frac{3 a c^{2} x \sinh^{2}{\left(x \right)}}{2} - \frac{3 a c^{2} x \cosh^{2}{\left(x \right)}}{2} + \frac{3 a c^{2} \sinh{\left(x \right)} \cosh{\left(x \right)}}{2} - \frac{2 b^{3} \sinh^{3}{\left(x \right)}}{3} + b^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)} + b^{2} c \cosh^{3}{\left(x \right)} + b c^{2} \sinh^{3}{\left(x \right)} + c^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)} - \frac{2 c^{3} \cosh^{3}{\left(x \right)}}{3}"," ",0,"a**3*x + 3*a**2*b*sinh(x) + 3*a**2*c*cosh(x) - 3*a*b**2*x*sinh(x)**2/2 + 3*a*b**2*x*cosh(x)**2/2 + 3*a*b**2*sinh(x)*cosh(x)/2 + 3*a*b*c*cosh(x)**2 + 3*a*c**2*x*sinh(x)**2/2 - 3*a*c**2*x*cosh(x)**2/2 + 3*a*c**2*sinh(x)*cosh(x)/2 - 2*b**3*sinh(x)**3/3 + b**3*sinh(x)*cosh(x)**2 + b**2*c*cosh(x)**3 + b*c**2*sinh(x)**3 + c**3*sinh(x)**2*cosh(x) - 2*c**3*cosh(x)**3/3","A",0
740,1,100,0,0.211969," ","integrate((a+b*cosh(x)+c*sinh(x))**2,x)","a^{2} x + 2 a b \sinh{\left(x \right)} + 2 a c \cosh{\left(x \right)} - \frac{b^{2} x \sinh^{2}{\left(x \right)}}{2} + \frac{b^{2} x \cosh^{2}{\left(x \right)}}{2} + \frac{b^{2} \sinh{\left(x \right)} \cosh{\left(x \right)}}{2} + b c \cosh^{2}{\left(x \right)} + \frac{c^{2} x \sinh^{2}{\left(x \right)}}{2} - \frac{c^{2} x \cosh^{2}{\left(x \right)}}{2} + \frac{c^{2} \sinh{\left(x \right)} \cosh{\left(x \right)}}{2}"," ",0,"a**2*x + 2*a*b*sinh(x) + 2*a*c*cosh(x) - b**2*x*sinh(x)**2/2 + b**2*x*cosh(x)**2/2 + b**2*sinh(x)*cosh(x)/2 + b*c*cosh(x)**2 + c**2*x*sinh(x)**2/2 - c**2*x*cosh(x)**2/2 + c**2*sinh(x)*cosh(x)/2","A",0
741,1,12,0,0.107988," ","integrate(a+b*cosh(x)+c*sinh(x),x)","a x + b \sinh{\left(x \right)} + c \cosh{\left(x \right)}"," ",0,"a*x + b*sinh(x) + c*cosh(x)","A",0
742,-1,0,0,0.000000," ","integrate(1/(a+b*cosh(x)+c*sinh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
743,-1,0,0,0.000000," ","integrate(1/(a+b*cosh(x)+c*sinh(x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
744,-1,0,0,0.000000," ","integrate(1/(a+b*cosh(x)+c*sinh(x))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
745,-1,0,0,0.000000," ","integrate(1/(a+b*cosh(x)+c*sinh(x))**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
746,1,189,0,0.424454," ","integrate((a+a*cosh(x)+c*sinh(x))**3,x)","- \frac{3 a^{3} x \sinh^{2}{\left(x \right)}}{2} + \frac{3 a^{3} x \cosh^{2}{\left(x \right)}}{2} + a^{3} x - \frac{2 a^{3} \sinh^{3}{\left(x \right)}}{3} + a^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)} + \frac{3 a^{3} \sinh{\left(x \right)} \cosh{\left(x \right)}}{2} + 3 a^{3} \sinh{\left(x \right)} + a^{2} c \cosh^{3}{\left(x \right)} + 3 a^{2} c \cosh^{2}{\left(x \right)} + 3 a^{2} c \cosh{\left(x \right)} + \frac{3 a c^{2} x \sinh^{2}{\left(x \right)}}{2} - \frac{3 a c^{2} x \cosh^{2}{\left(x \right)}}{2} + a c^{2} \sinh^{3}{\left(x \right)} + \frac{3 a c^{2} \sinh{\left(x \right)} \cosh{\left(x \right)}}{2} + c^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)} - \frac{2 c^{3} \cosh^{3}{\left(x \right)}}{3}"," ",0,"-3*a**3*x*sinh(x)**2/2 + 3*a**3*x*cosh(x)**2/2 + a**3*x - 2*a**3*sinh(x)**3/3 + a**3*sinh(x)*cosh(x)**2 + 3*a**3*sinh(x)*cosh(x)/2 + 3*a**3*sinh(x) + a**2*c*cosh(x)**3 + 3*a**2*c*cosh(x)**2 + 3*a**2*c*cosh(x) + 3*a*c**2*x*sinh(x)**2/2 - 3*a*c**2*x*cosh(x)**2/2 + a*c**2*sinh(x)**3 + 3*a*c**2*sinh(x)*cosh(x)/2 + c**3*sinh(x)**2*cosh(x) - 2*c**3*cosh(x)**3/3","A",0
747,1,100,0,0.217719," ","integrate((a+a*cosh(x)+c*sinh(x))**2,x)","- \frac{a^{2} x \sinh^{2}{\left(x \right)}}{2} + \frac{a^{2} x \cosh^{2}{\left(x \right)}}{2} + a^{2} x + \frac{a^{2} \sinh{\left(x \right)} \cosh{\left(x \right)}}{2} + 2 a^{2} \sinh{\left(x \right)} + a c \cosh^{2}{\left(x \right)} + 2 a c \cosh{\left(x \right)} + \frac{c^{2} x \sinh^{2}{\left(x \right)}}{2} - \frac{c^{2} x \cosh^{2}{\left(x \right)}}{2} + \frac{c^{2} \sinh{\left(x \right)} \cosh{\left(x \right)}}{2}"," ",0,"-a**2*x*sinh(x)**2/2 + a**2*x*cosh(x)**2/2 + a**2*x + a**2*sinh(x)*cosh(x)/2 + 2*a**2*sinh(x) + a*c*cosh(x)**2 + 2*a*c*cosh(x) + c**2*x*sinh(x)**2/2 - c**2*x*cosh(x)**2/2 + c**2*sinh(x)*cosh(x)/2","A",0
748,1,12,0,0.113511," ","integrate(a+a*cosh(x)+c*sinh(x),x)","a x + a \sinh{\left(x \right)} + c \cosh{\left(x \right)}"," ",0,"a*x + a*sinh(x) + c*cosh(x)","A",0
749,1,17,0,0.715347," ","integrate(1/(a+a*cosh(x)+c*sinh(x)),x)","\begin{cases} \frac{\log{\left(\frac{a}{c} + \tanh{\left(\frac{x}{2} \right)} \right)}}{c} & \text{for}\: c \neq 0 \\\frac{\tanh{\left(\frac{x}{2} \right)}}{a} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(a/c + tanh(x/2))/c, Ne(c, 0)), (tanh(x/2)/a, True))","A",0
750,-1,0,0,0.000000," ","integrate(1/(a+a*cosh(x)+c*sinh(x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
751,-1,0,0,0.000000," ","integrate(1/(a+a*cosh(x)+c*sinh(x))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
752,-1,0,0,0.000000," ","integrate(1/(a+a*cosh(x)+c*sinh(x))**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
753,1,626,0,1.466480," ","integrate((b*cosh(x)+c*sinh(x)+(b**2-c**2)**(1/2))**4,x)","\frac{3 b^{4} x \sinh^{4}{\left(x \right)}}{8} - \frac{3 b^{4} x \sinh^{2}{\left(x \right)} \cosh^{2}{\left(x \right)}}{4} - 3 b^{4} x \sinh^{2}{\left(x \right)} + \frac{3 b^{4} x \cosh^{4}{\left(x \right)}}{8} + 3 b^{4} x \cosh^{2}{\left(x \right)} + b^{4} x - \frac{3 b^{4} \sinh^{3}{\left(x \right)} \cosh{\left(x \right)}}{8} + \frac{5 b^{4} \sinh{\left(x \right)} \cosh^{3}{\left(x \right)}}{8} + 3 b^{4} \sinh{\left(x \right)} \cosh{\left(x \right)} + b^{3} c \cosh^{4}{\left(x \right)} + 6 b^{3} c \cosh^{2}{\left(x \right)} - \frac{8 b^{3} \sqrt{b^{2} - c^{2}} \sinh^{3}{\left(x \right)}}{3} + 4 b^{3} \sqrt{b^{2} - c^{2}} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)} + 4 b^{3} \sqrt{b^{2} - c^{2}} \sinh{\left(x \right)} - \frac{3 b^{2} c^{2} x \sinh^{4}{\left(x \right)}}{4} + \frac{3 b^{2} c^{2} x \sinh^{2}{\left(x \right)} \cosh^{2}{\left(x \right)}}{2} + 6 b^{2} c^{2} x \sinh^{2}{\left(x \right)} - \frac{3 b^{2} c^{2} x \cosh^{4}{\left(x \right)}}{4} - 6 b^{2} c^{2} x \cosh^{2}{\left(x \right)} - 2 b^{2} c^{2} x + \frac{3 b^{2} c^{2} \sinh^{3}{\left(x \right)} \cosh{\left(x \right)}}{4} + \frac{3 b^{2} c^{2} \sinh{\left(x \right)} \cosh^{3}{\left(x \right)}}{4} + 4 b^{2} c \sqrt{b^{2} - c^{2}} \cosh^{3}{\left(x \right)} + 4 b^{2} c \sqrt{b^{2} - c^{2}} \cosh{\left(x \right)} + b c^{3} \sinh^{4}{\left(x \right)} - 6 b c^{3} \cosh^{2}{\left(x \right)} + 4 b c^{2} \sqrt{b^{2} - c^{2}} \sinh^{3}{\left(x \right)} - 4 b c^{2} \sqrt{b^{2} - c^{2}} \sinh{\left(x \right)} + \frac{3 c^{4} x \sinh^{4}{\left(x \right)}}{8} - \frac{3 c^{4} x \sinh^{2}{\left(x \right)} \cosh^{2}{\left(x \right)}}{4} - 3 c^{4} x \sinh^{2}{\left(x \right)} + \frac{3 c^{4} x \cosh^{4}{\left(x \right)}}{8} + 3 c^{4} x \cosh^{2}{\left(x \right)} + c^{4} x + \frac{5 c^{4} \sinh^{3}{\left(x \right)} \cosh{\left(x \right)}}{8} - \frac{3 c^{4} \sinh{\left(x \right)} \cosh^{3}{\left(x \right)}}{8} - 3 c^{4} \sinh{\left(x \right)} \cosh{\left(x \right)} + 4 c^{3} \sqrt{b^{2} - c^{2}} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)} - \frac{8 c^{3} \sqrt{b^{2} - c^{2}} \cosh^{3}{\left(x \right)}}{3} - 4 c^{3} \sqrt{b^{2} - c^{2}} \cosh{\left(x \right)}"," ",0,"3*b**4*x*sinh(x)**4/8 - 3*b**4*x*sinh(x)**2*cosh(x)**2/4 - 3*b**4*x*sinh(x)**2 + 3*b**4*x*cosh(x)**4/8 + 3*b**4*x*cosh(x)**2 + b**4*x - 3*b**4*sinh(x)**3*cosh(x)/8 + 5*b**4*sinh(x)*cosh(x)**3/8 + 3*b**4*sinh(x)*cosh(x) + b**3*c*cosh(x)**4 + 6*b**3*c*cosh(x)**2 - 8*b**3*sqrt(b**2 - c**2)*sinh(x)**3/3 + 4*b**3*sqrt(b**2 - c**2)*sinh(x)*cosh(x)**2 + 4*b**3*sqrt(b**2 - c**2)*sinh(x) - 3*b**2*c**2*x*sinh(x)**4/4 + 3*b**2*c**2*x*sinh(x)**2*cosh(x)**2/2 + 6*b**2*c**2*x*sinh(x)**2 - 3*b**2*c**2*x*cosh(x)**4/4 - 6*b**2*c**2*x*cosh(x)**2 - 2*b**2*c**2*x + 3*b**2*c**2*sinh(x)**3*cosh(x)/4 + 3*b**2*c**2*sinh(x)*cosh(x)**3/4 + 4*b**2*c*sqrt(b**2 - c**2)*cosh(x)**3 + 4*b**2*c*sqrt(b**2 - c**2)*cosh(x) + b*c**3*sinh(x)**4 - 6*b*c**3*cosh(x)**2 + 4*b*c**2*sqrt(b**2 - c**2)*sinh(x)**3 - 4*b*c**2*sqrt(b**2 - c**2)*sinh(x) + 3*c**4*x*sinh(x)**4/8 - 3*c**4*x*sinh(x)**2*cosh(x)**2/4 - 3*c**4*x*sinh(x)**2 + 3*c**4*x*cosh(x)**4/8 + 3*c**4*x*cosh(x)**2 + c**4*x + 5*c**4*sinh(x)**3*cosh(x)/8 - 3*c**4*sinh(x)*cosh(x)**3/8 - 3*c**4*sinh(x)*cosh(x) + 4*c**3*sqrt(b**2 - c**2)*sinh(x)**2*cosh(x) - 8*c**3*sqrt(b**2 - c**2)*cosh(x)**3/3 - 4*c**3*sqrt(b**2 - c**2)*cosh(x)","B",0
754,1,298,0,0.693814," ","integrate((b*cosh(x)+c*sinh(x)+(b**2-c**2)**(1/2))**3,x)","- \frac{2 b^{3} \sinh^{3}{\left(x \right)}}{3} + b^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)} + 3 b^{3} \sinh{\left(x \right)} + b^{2} c \cosh^{3}{\left(x \right)} + 3 b^{2} c \cosh{\left(x \right)} - \frac{3 b^{2} x \sqrt{b^{2} - c^{2}} \sinh^{2}{\left(x \right)}}{2} + \frac{3 b^{2} x \sqrt{b^{2} - c^{2}} \cosh^{2}{\left(x \right)}}{2} + b^{2} x \sqrt{b^{2} - c^{2}} + \frac{3 b^{2} \sqrt{b^{2} - c^{2}} \sinh{\left(x \right)} \cosh{\left(x \right)}}{2} + b c^{2} \sinh^{3}{\left(x \right)} - 3 b c^{2} \sinh{\left(x \right)} + 3 b c \sqrt{b^{2} - c^{2}} \cosh^{2}{\left(x \right)} + c^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)} - \frac{2 c^{3} \cosh^{3}{\left(x \right)}}{3} - 3 c^{3} \cosh{\left(x \right)} + \frac{3 c^{2} x \sqrt{b^{2} - c^{2}} \sinh^{2}{\left(x \right)}}{2} - \frac{3 c^{2} x \sqrt{b^{2} - c^{2}} \cosh^{2}{\left(x \right)}}{2} - c^{2} x \sqrt{b^{2} - c^{2}} + \frac{3 c^{2} \sqrt{b^{2} - c^{2}} \sinh{\left(x \right)} \cosh{\left(x \right)}}{2}"," ",0,"-2*b**3*sinh(x)**3/3 + b**3*sinh(x)*cosh(x)**2 + 3*b**3*sinh(x) + b**2*c*cosh(x)**3 + 3*b**2*c*cosh(x) - 3*b**2*x*sqrt(b**2 - c**2)*sinh(x)**2/2 + 3*b**2*x*sqrt(b**2 - c**2)*cosh(x)**2/2 + b**2*x*sqrt(b**2 - c**2) + 3*b**2*sqrt(b**2 - c**2)*sinh(x)*cosh(x)/2 + b*c**2*sinh(x)**3 - 3*b*c**2*sinh(x) + 3*b*c*sqrt(b**2 - c**2)*cosh(x)**2 + c**3*sinh(x)**2*cosh(x) - 2*c**3*cosh(x)**3/3 - 3*c**3*cosh(x) + 3*c**2*x*sqrt(b**2 - c**2)*sinh(x)**2/2 - 3*c**2*x*sqrt(b**2 - c**2)*cosh(x)**2/2 - c**2*x*sqrt(b**2 - c**2) + 3*c**2*sqrt(b**2 - c**2)*sinh(x)*cosh(x)/2","B",0
755,1,122,0,0.287273," ","integrate((b*cosh(x)+c*sinh(x)+(b**2-c**2)**(1/2))**2,x)","- \frac{b^{2} x \sinh^{2}{\left(x \right)}}{2} + \frac{b^{2} x \cosh^{2}{\left(x \right)}}{2} + b^{2} x + \frac{b^{2} \sinh{\left(x \right)} \cosh{\left(x \right)}}{2} + b c \cosh^{2}{\left(x \right)} + 2 b \sqrt{b^{2} - c^{2}} \sinh{\left(x \right)} + \frac{c^{2} x \sinh^{2}{\left(x \right)}}{2} - \frac{c^{2} x \cosh^{2}{\left(x \right)}}{2} - c^{2} x + \frac{c^{2} \sinh{\left(x \right)} \cosh{\left(x \right)}}{2} + 2 c \sqrt{b^{2} - c^{2}} \cosh{\left(x \right)}"," ",0,"-b**2*x*sinh(x)**2/2 + b**2*x*cosh(x)**2/2 + b**2*x + b**2*sinh(x)*cosh(x)/2 + b*c*cosh(x)**2 + 2*b*sqrt(b**2 - c**2)*sinh(x) + c**2*x*sinh(x)**2/2 - c**2*x*cosh(x)**2/2 - c**2*x + c**2*sinh(x)*cosh(x)/2 + 2*c*sqrt(b**2 - c**2)*cosh(x)","A",0
756,1,20,0,0.124714," ","integrate(b*cosh(x)+c*sinh(x)+(b**2-c**2)**(1/2),x)","b \sinh{\left(x \right)} + c \cosh{\left(x \right)} + x \sqrt{b^{2} - c^{2}}"," ",0,"b*sinh(x) + c*cosh(x) + x*sqrt(b**2 - c**2)","A",0
757,-1,0,0,0.000000," ","integrate(1/(b*cosh(x)+c*sinh(x)+(b**2-c**2)**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
758,-1,0,0,0.000000," ","integrate(1/(b*cosh(x)+c*sinh(x)+(b**2-c**2)**(1/2))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
759,-1,0,0,0.000000," ","integrate(1/(b*cosh(x)+c*sinh(x)+(b**2-c**2)**(1/2))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
760,-1,0,0,0.000000," ","integrate(1/(b*cosh(x)+c*sinh(x)+(b**2-c**2)**(1/2))**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
761,-1,0,0,0.000000," ","integrate((a+b*cosh(x)+c*sinh(x))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
762,0,0,0,0.000000," ","integrate((a+b*cosh(x)+c*sinh(x))**(3/2),x)","\int \left(a + b \cosh{\left(x \right)} + c \sinh{\left(x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((a + b*cosh(x) + c*sinh(x))**(3/2), x)","F",0
763,0,0,0,0.000000," ","integrate((a+b*cosh(x)+c*sinh(x))**(1/2),x)","\int \sqrt{a + b \cosh{\left(x \right)} + c \sinh{\left(x \right)}}\, dx"," ",0,"Integral(sqrt(a + b*cosh(x) + c*sinh(x)), x)","F",0
764,0,0,0,0.000000," ","integrate(1/(a+b*cosh(x)+c*sinh(x))**(1/2),x)","\int \frac{1}{\sqrt{a + b \cosh{\left(x \right)} + c \sinh{\left(x \right)}}}\, dx"," ",0,"Integral(1/sqrt(a + b*cosh(x) + c*sinh(x)), x)","F",0
765,0,0,0,0.000000," ","integrate(1/(a+b*cosh(x)+c*sinh(x))**(3/2),x)","\int \frac{1}{\left(a + b \cosh{\left(x \right)} + c \sinh{\left(x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*cosh(x) + c*sinh(x))**(-3/2), x)","F",0
766,-1,0,0,0.000000," ","integrate(1/(a+b*cosh(x)+c*sinh(x))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
767,-1,0,0,0.000000," ","integrate(1/(a+b*cosh(x)+c*sinh(x))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
768,-1,0,0,0.000000," ","integrate((b*cosh(x)+c*sinh(x)+(b**2-c**2)**(1/2))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
769,0,0,0,0.000000," ","integrate((b*cosh(x)+c*sinh(x)+(b**2-c**2)**(1/2))**(3/2),x)","\int \left(b \cosh{\left(x \right)} + c \sinh{\left(x \right)} + \sqrt{b^{2} - c^{2}}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((b*cosh(x) + c*sinh(x) + sqrt(b**2 - c**2))**(3/2), x)","F",0
770,0,0,0,0.000000," ","integrate((b*cosh(x)+c*sinh(x)+(b**2-c**2)**(1/2))**(1/2),x)","\int \sqrt{b \cosh{\left(x \right)} + c \sinh{\left(x \right)} + \sqrt{b^{2} - c^{2}}}\, dx"," ",0,"Integral(sqrt(b*cosh(x) + c*sinh(x) + sqrt(b**2 - c**2)), x)","F",0
771,0,0,0,0.000000," ","integrate(1/(b*cosh(x)+c*sinh(x)+(b**2-c**2)**(1/2))**(1/2),x)","\int \frac{1}{\sqrt{b \cosh{\left(x \right)} + c \sinh{\left(x \right)} + \sqrt{b^{2} - c^{2}}}}\, dx"," ",0,"Integral(1/sqrt(b*cosh(x) + c*sinh(x) + sqrt(b**2 - c**2)), x)","F",0
772,0,0,0,0.000000," ","integrate(1/(b*cosh(x)+c*sinh(x)+(b**2-c**2)**(1/2))**(3/2),x)","\int \frac{1}{\left(b \cosh{\left(x \right)} + c \sinh{\left(x \right)} + \sqrt{b^{2} - c^{2}}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((b*cosh(x) + c*sinh(x) + sqrt(b**2 - c**2))**(-3/2), x)","F",0
773,-1,0,0,0.000000," ","integrate(1/(b*cosh(x)+c*sinh(x)+(b**2-c**2)**(1/2))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
774,-1,0,0,0.000000," ","integrate((b*cosh(x)+c*sinh(x)-(b**2-c**2)**(1/2))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
775,0,0,0,0.000000," ","integrate((b*cosh(x)+c*sinh(x)-(b**2-c**2)**(1/2))**(3/2),x)","\int \left(b \cosh{\left(x \right)} + c \sinh{\left(x \right)} - \sqrt{b^{2} - c^{2}}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((b*cosh(x) + c*sinh(x) - sqrt(b**2 - c**2))**(3/2), x)","F",0
776,0,0,0,0.000000," ","integrate((b*cosh(x)+c*sinh(x)-(b**2-c**2)**(1/2))**(1/2),x)","\int \sqrt{b \cosh{\left(x \right)} + c \sinh{\left(x \right)} - \sqrt{b^{2} - c^{2}}}\, dx"," ",0,"Integral(sqrt(b*cosh(x) + c*sinh(x) - sqrt(b**2 - c**2)), x)","F",0
777,0,0,0,0.000000," ","integrate(1/(b*cosh(x)+c*sinh(x)-(b**2-c**2)**(1/2))**(1/2),x)","\int \frac{1}{\sqrt{b \cosh{\left(x \right)} + c \sinh{\left(x \right)} - \sqrt{b^{2} - c^{2}}}}\, dx"," ",0,"Integral(1/sqrt(b*cosh(x) + c*sinh(x) - sqrt(b**2 - c**2)), x)","F",0
778,0,0,0,0.000000," ","integrate(1/(b*cosh(x)+c*sinh(x)-(b**2-c**2)**(1/2))**(3/2),x)","\int \frac{1}{\left(b \cosh{\left(x \right)} + c \sinh{\left(x \right)} - \sqrt{b^{2} - c^{2}}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((b*cosh(x) + c*sinh(x) - sqrt(b**2 - c**2))**(-3/2), x)","F",0
779,0,0,0,0.000000," ","integrate(1/(b*cosh(x)+c*sinh(x)-(b**2-c**2)**(1/2))**(5/2),x)","\int \frac{1}{\left(b \cosh{\left(x \right)} + c \sinh{\left(x \right)} - \sqrt{b^{2} - c^{2}}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((b*cosh(x) + c*sinh(x) - sqrt(b**2 - c**2))**(-5/2), x)","F",0
780,0,0,0,0.000000," ","integrate(1/(a+c*sech(x)+b*tanh(x)),x)","\int \frac{1}{a + b \tanh{\left(x \right)} + c \operatorname{sech}{\left(x \right)}}\, dx"," ",0,"Integral(1/(a + b*tanh(x) + c*sech(x)), x)","F",0
781,0,0,0,0.000000," ","integrate(1/(a+b*coth(x)+c*csch(x)),x)","\int \frac{1}{a + b \coth{\left(x \right)} + c \operatorname{csch}{\left(x \right)}}\, dx"," ",0,"Integral(1/(a + b*coth(x) + c*csch(x)), x)","F",0
782,-1,0,0,0.000000," ","integrate(sinh(x)/(a+b*cosh(x)+c*sinh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
783,1,34,0,0.561397," ","integrate(sinh(x)/(1+cosh(x)+sinh(x)),x)","\frac{x \tanh{\left(\frac{x}{2} \right)}}{2 \tanh{\left(\frac{x}{2} \right)} + 2} + \frac{x}{2 \tanh{\left(\frac{x}{2} \right)} + 2} + \frac{2}{2 \tanh{\left(\frac{x}{2} \right)} + 2}"," ",0,"x*tanh(x/2)/(2*tanh(x/2) + 2) + x/(2*tanh(x/2) + 2) + 2/(2*tanh(x/2) + 2)","B",0
784,0,0,0,0.000000," ","integrate(sech(x)/(a+c*sech(x)+b*tanh(x)),x)","\int \frac{\operatorname{sech}{\left(x \right)}}{a + b \tanh{\left(x \right)} + c \operatorname{sech}{\left(x \right)}}\, dx"," ",0,"Integral(sech(x)/(a + b*tanh(x) + c*sech(x)), x)","F",0
785,0,0,0,0.000000," ","integrate(sech(x)**2/(a+c*sech(x)+b*tanh(x)),x)","\int \frac{\operatorname{sech}^{2}{\left(x \right)}}{a + b \tanh{\left(x \right)} + c \operatorname{sech}{\left(x \right)}}\, dx"," ",0,"Integral(sech(x)**2/(a + b*tanh(x) + c*sech(x)), x)","F",0
786,0,0,0,0.000000," ","integrate(csch(x)/(2+2*coth(x)+3*csch(x)),x)","\int \frac{\operatorname{csch}{\left(x \right)}}{2 \coth{\left(x \right)} + 3 \operatorname{csch}{\left(x \right)} + 2}\, dx"," ",0,"Integral(csch(x)/(2*coth(x) + 3*csch(x) + 2), x)","F",0
787,0,0,0,0.000000," ","integrate(csch(x)/(a+b*coth(x)+c*csch(x)),x)","\int \frac{\operatorname{csch}{\left(x \right)}}{a + b \coth{\left(x \right)} + c \operatorname{csch}{\left(x \right)}}\, dx"," ",0,"Integral(csch(x)/(a + b*coth(x) + c*csch(x)), x)","F",0
788,0,0,0,0.000000," ","integrate(csch(x)**2/(a+b*coth(x)+c*csch(x)),x)","\int \frac{\operatorname{csch}^{2}{\left(x \right)}}{a + b \coth{\left(x \right)} + c \operatorname{csch}{\left(x \right)}}\, dx"," ",0,"Integral(csch(x)**2/(a + b*coth(x) + c*csch(x)), x)","F",0
789,-1,0,0,0.000000," ","integrate((A+C*sinh(x))/(a+b*cosh(x)+c*sinh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
790,-1,0,0,0.000000," ","integrate((A+C*sinh(x))/(a+b*cosh(x)+c*sinh(x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
791,-1,0,0,0.000000," ","integrate((A+C*sinh(x))/(a+b*cosh(x)+c*sinh(x))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
792,-1,0,0,0.000000," ","integrate((A+B*cosh(x))/(a+b*cosh(x)+c*sinh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
793,-1,0,0,0.000000," ","integrate((A+B*cosh(x))/(a+b*cosh(x)+c*sinh(x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
794,-1,0,0,0.000000," ","integrate((A+B*cosh(x))/(a+b*cosh(x)+c*sinh(x))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
795,-1,0,0,0.000000," ","integrate((B*cosh(x)+C*sinh(x))/(a+b*cosh(x)+c*sinh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
796,-1,0,0,0.000000," ","integrate((B*cosh(x)+C*sinh(x))/(a+b*cosh(x)+c*sinh(x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
797,-1,0,0,0.000000," ","integrate((B*cosh(x)+C*sinh(x))/(a+b*cosh(x)+c*sinh(x))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
798,-1,0,0,0.000000," ","integrate((A+B*cosh(x)+C*sinh(x))/(a+b*cosh(x)+c*sinh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
799,-1,0,0,0.000000," ","integrate((A+B*cosh(x)+C*sinh(x))/(a+b*cosh(x)+c*sinh(x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
800,-1,0,0,0.000000," ","integrate((A+B*cosh(x)+C*sinh(x))/(a+b*cosh(x)+c*sinh(x))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
801,-1,0,0,0.000000," ","integrate((b**2-c**2+a*b*cosh(x)+a*c*sinh(x))/(a+b*cosh(x)+c*sinh(x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
802,1,753,0,5.113483," ","integrate((A+C*sinh(x))/(a+b*cosh(x)+b*sinh(x)),x)","\begin{cases} \tilde{\infty} \left(A x + C \cosh{\left(x \right)}\right) & \text{for}\: a = 0 \wedge b = 0 \\- \frac{2 A}{2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} + \frac{C x \sinh{\left(x \right)}}{2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} + \frac{C x \cosh{\left(x \right)}}{2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} + \frac{C \cosh{\left(x \right)}}{2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} & \text{for}\: a = 0 \\\frac{A x + C \cosh{\left(x \right)}}{a} & \text{for}\: b = 0 \\\frac{2 A \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh{\left(\frac{x}{2} \right)}}{2 b \tanh{\left(\frac{x}{2} \right)} + 2 b} + \frac{2 A \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{2 b \tanh{\left(\frac{x}{2} \right)} + 2 b} + \frac{C x \tanh{\left(\frac{x}{2} \right)}}{2 b \tanh{\left(\frac{x}{2} \right)} + 2 b} + \frac{C x}{2 b \tanh{\left(\frac{x}{2} \right)} + 2 b} + \frac{2 C}{2 b \tanh{\left(\frac{x}{2} \right)} + 2 b} & \text{for}\: a = b \\\frac{2 A a b \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} + \frac{2 A a b \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} - \frac{2 A a b \log{\left(- \frac{a}{a - b} - \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} - \frac{2 A a b \log{\left(- \frac{a}{a - b} - \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} + \frac{C a^{2} x \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} + \frac{C a^{2} x}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} - \frac{C a^{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} - \frac{C a^{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} + \frac{C a^{2} \log{\left(- \frac{a}{a - b} - \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} + \frac{C a^{2} \log{\left(- \frac{a}{a - b} - \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} + \frac{2 C a b}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} + \frac{C b^{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} + \frac{C b^{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} - \frac{C b^{2} \log{\left(- \frac{a}{a - b} - \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} - \frac{C b^{2} \log{\left(- \frac{a}{a - b} - \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(A*x + C*cosh(x)), Eq(a, 0) & Eq(b, 0)), (-2*A/(2*b*sinh(x) + 2*b*cosh(x)) + C*x*sinh(x)/(2*b*sinh(x) + 2*b*cosh(x)) + C*x*cosh(x)/(2*b*sinh(x) + 2*b*cosh(x)) + C*cosh(x)/(2*b*sinh(x) + 2*b*cosh(x)), Eq(a, 0)), ((A*x + C*cosh(x))/a, Eq(b, 0)), (2*A*log(tanh(x/2) + 1)*tanh(x/2)/(2*b*tanh(x/2) + 2*b) + 2*A*log(tanh(x/2) + 1)/(2*b*tanh(x/2) + 2*b) + C*x*tanh(x/2)/(2*b*tanh(x/2) + 2*b) + C*x/(2*b*tanh(x/2) + 2*b) + 2*C/(2*b*tanh(x/2) + 2*b), Eq(a, b)), (2*A*a*b*log(tanh(x/2) + 1)*tanh(x/2)/(2*a**2*b*tanh(x/2) + 2*a**2*b) + 2*A*a*b*log(tanh(x/2) + 1)/(2*a**2*b*tanh(x/2) + 2*a**2*b) - 2*A*a*b*log(-a/(a - b) - b/(a - b) + tanh(x/2))*tanh(x/2)/(2*a**2*b*tanh(x/2) + 2*a**2*b) - 2*A*a*b*log(-a/(a - b) - b/(a - b) + tanh(x/2))/(2*a**2*b*tanh(x/2) + 2*a**2*b) + C*a**2*x*tanh(x/2)/(2*a**2*b*tanh(x/2) + 2*a**2*b) + C*a**2*x/(2*a**2*b*tanh(x/2) + 2*a**2*b) - C*a**2*log(tanh(x/2) + 1)*tanh(x/2)/(2*a**2*b*tanh(x/2) + 2*a**2*b) - C*a**2*log(tanh(x/2) + 1)/(2*a**2*b*tanh(x/2) + 2*a**2*b) + C*a**2*log(-a/(a - b) - b/(a - b) + tanh(x/2))*tanh(x/2)/(2*a**2*b*tanh(x/2) + 2*a**2*b) + C*a**2*log(-a/(a - b) - b/(a - b) + tanh(x/2))/(2*a**2*b*tanh(x/2) + 2*a**2*b) + 2*C*a*b/(2*a**2*b*tanh(x/2) + 2*a**2*b) + C*b**2*log(tanh(x/2) + 1)*tanh(x/2)/(2*a**2*b*tanh(x/2) + 2*a**2*b) + C*b**2*log(tanh(x/2) + 1)/(2*a**2*b*tanh(x/2) + 2*a**2*b) - C*b**2*log(-a/(a - b) - b/(a - b) + tanh(x/2))*tanh(x/2)/(2*a**2*b*tanh(x/2) + 2*a**2*b) - C*b**2*log(-a/(a - b) - b/(a - b) + tanh(x/2))/(2*a**2*b*tanh(x/2) + 2*a**2*b), True))","A",0
803,1,806,0,5.154725," ","integrate((A+B*cosh(x))/(a+b*cosh(x)+b*sinh(x)),x)","\begin{cases} \tilde{\infty} \left(A x + B \sinh{\left(x \right)}\right) & \text{for}\: a = 0 \wedge b = 0 \\- \frac{2 A}{2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} + \frac{B x \sinh{\left(x \right)}}{2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} + \frac{B x \cosh{\left(x \right)}}{2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} - \frac{B \cosh{\left(x \right)}}{2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} & \text{for}\: a = 0 \\\frac{A x + B \sinh{\left(x \right)}}{a} & \text{for}\: b = 0 \\\frac{2 A \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh{\left(\frac{x}{2} \right)}}{2 b \tanh{\left(\frac{x}{2} \right)} + 2 b} + \frac{2 A \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{2 b \tanh{\left(\frac{x}{2} \right)} + 2 b} + \frac{B x \tanh{\left(\frac{x}{2} \right)}}{2 b \tanh{\left(\frac{x}{2} \right)} + 2 b} + \frac{B x}{2 b \tanh{\left(\frac{x}{2} \right)} + 2 b} - \frac{2 B \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh{\left(\frac{x}{2} \right)}}{2 b \tanh{\left(\frac{x}{2} \right)} + 2 b} - \frac{2 B \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{2 b \tanh{\left(\frac{x}{2} \right)} + 2 b} - \frac{2 B}{2 b \tanh{\left(\frac{x}{2} \right)} + 2 b} & \text{for}\: a = b \\\frac{2 A a b \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} + \frac{2 A a b \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} - \frac{2 A a b \log{\left(- \frac{a}{a - b} - \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} - \frac{2 A a b \log{\left(- \frac{a}{a - b} - \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} + \frac{B a^{2} x \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} + \frac{B a^{2} x}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} - \frac{B a^{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} - \frac{B a^{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} + \frac{B a^{2} \log{\left(- \frac{a}{a - b} - \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} + \frac{B a^{2} \log{\left(- \frac{a}{a - b} - \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} - \frac{2 B a b}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} - \frac{B b^{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} - \frac{B b^{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} + \frac{B b^{2} \log{\left(- \frac{a}{a - b} - \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} + \frac{B b^{2} \log{\left(- \frac{a}{a - b} - \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(A*x + B*sinh(x)), Eq(a, 0) & Eq(b, 0)), (-2*A/(2*b*sinh(x) + 2*b*cosh(x)) + B*x*sinh(x)/(2*b*sinh(x) + 2*b*cosh(x)) + B*x*cosh(x)/(2*b*sinh(x) + 2*b*cosh(x)) - B*cosh(x)/(2*b*sinh(x) + 2*b*cosh(x)), Eq(a, 0)), ((A*x + B*sinh(x))/a, Eq(b, 0)), (2*A*log(tanh(x/2) + 1)*tanh(x/2)/(2*b*tanh(x/2) + 2*b) + 2*A*log(tanh(x/2) + 1)/(2*b*tanh(x/2) + 2*b) + B*x*tanh(x/2)/(2*b*tanh(x/2) + 2*b) + B*x/(2*b*tanh(x/2) + 2*b) - 2*B*log(tanh(x/2) + 1)*tanh(x/2)/(2*b*tanh(x/2) + 2*b) - 2*B*log(tanh(x/2) + 1)/(2*b*tanh(x/2) + 2*b) - 2*B/(2*b*tanh(x/2) + 2*b), Eq(a, b)), (2*A*a*b*log(tanh(x/2) + 1)*tanh(x/2)/(2*a**2*b*tanh(x/2) + 2*a**2*b) + 2*A*a*b*log(tanh(x/2) + 1)/(2*a**2*b*tanh(x/2) + 2*a**2*b) - 2*A*a*b*log(-a/(a - b) - b/(a - b) + tanh(x/2))*tanh(x/2)/(2*a**2*b*tanh(x/2) + 2*a**2*b) - 2*A*a*b*log(-a/(a - b) - b/(a - b) + tanh(x/2))/(2*a**2*b*tanh(x/2) + 2*a**2*b) + B*a**2*x*tanh(x/2)/(2*a**2*b*tanh(x/2) + 2*a**2*b) + B*a**2*x/(2*a**2*b*tanh(x/2) + 2*a**2*b) - B*a**2*log(tanh(x/2) + 1)*tanh(x/2)/(2*a**2*b*tanh(x/2) + 2*a**2*b) - B*a**2*log(tanh(x/2) + 1)/(2*a**2*b*tanh(x/2) + 2*a**2*b) + B*a**2*log(-a/(a - b) - b/(a - b) + tanh(x/2))*tanh(x/2)/(2*a**2*b*tanh(x/2) + 2*a**2*b) + B*a**2*log(-a/(a - b) - b/(a - b) + tanh(x/2))/(2*a**2*b*tanh(x/2) + 2*a**2*b) - 2*B*a*b/(2*a**2*b*tanh(x/2) + 2*a**2*b) - B*b**2*log(tanh(x/2) + 1)*tanh(x/2)/(2*a**2*b*tanh(x/2) + 2*a**2*b) - B*b**2*log(tanh(x/2) + 1)/(2*a**2*b*tanh(x/2) + 2*a**2*b) + B*b**2*log(-a/(a - b) - b/(a - b) + tanh(x/2))*tanh(x/2)/(2*a**2*b*tanh(x/2) + 2*a**2*b) + B*b**2*log(-a/(a - b) - b/(a - b) + tanh(x/2))/(2*a**2*b*tanh(x/2) + 2*a**2*b), True))","A",0
804,1,1321,0,5.936148," ","integrate((A+B*cosh(x)+C*sinh(x))/(a+b*cosh(x)+b*sinh(x)),x)","\begin{cases} \tilde{\infty} \left(A x + B \sinh{\left(x \right)} + C \cosh{\left(x \right)}\right) & \text{for}\: a = 0 \wedge b = 0 \\- \frac{2 A}{2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} + \frac{B x \sinh{\left(x \right)}}{2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} + \frac{B x \cosh{\left(x \right)}}{2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} - \frac{B \cosh{\left(x \right)}}{2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} + \frac{C x \sinh{\left(x \right)}}{2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} + \frac{C x \cosh{\left(x \right)}}{2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} + \frac{C \cosh{\left(x \right)}}{2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} & \text{for}\: a = 0 \\\frac{A x + B \sinh{\left(x \right)} + C \cosh{\left(x \right)}}{a} & \text{for}\: b = 0 \\\frac{2 A \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh{\left(\frac{x}{2} \right)}}{2 b \tanh{\left(\frac{x}{2} \right)} + 2 b} + \frac{2 A \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{2 b \tanh{\left(\frac{x}{2} \right)} + 2 b} + \frac{B x \tanh{\left(\frac{x}{2} \right)}}{2 b \tanh{\left(\frac{x}{2} \right)} + 2 b} + \frac{B x}{2 b \tanh{\left(\frac{x}{2} \right)} + 2 b} - \frac{2 B \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh{\left(\frac{x}{2} \right)}}{2 b \tanh{\left(\frac{x}{2} \right)} + 2 b} - \frac{2 B \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{2 b \tanh{\left(\frac{x}{2} \right)} + 2 b} - \frac{2 B}{2 b \tanh{\left(\frac{x}{2} \right)} + 2 b} + \frac{C x \tanh{\left(\frac{x}{2} \right)}}{2 b \tanh{\left(\frac{x}{2} \right)} + 2 b} + \frac{C x}{2 b \tanh{\left(\frac{x}{2} \right)} + 2 b} + \frac{2 C}{2 b \tanh{\left(\frac{x}{2} \right)} + 2 b} & \text{for}\: a = b \\\frac{2 A a b \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} + \frac{2 A a b \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} - \frac{2 A a b \log{\left(- \frac{a}{a - b} - \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} - \frac{2 A a b \log{\left(- \frac{a}{a - b} - \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} + \frac{B a^{2} x \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} + \frac{B a^{2} x}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} - \frac{B a^{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} - \frac{B a^{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} + \frac{B a^{2} \log{\left(- \frac{a}{a - b} - \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} + \frac{B a^{2} \log{\left(- \frac{a}{a - b} - \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} - \frac{2 B a b}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} - \frac{B b^{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} - \frac{B b^{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} + \frac{B b^{2} \log{\left(- \frac{a}{a - b} - \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} + \frac{B b^{2} \log{\left(- \frac{a}{a - b} - \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} + \frac{C a^{2} x \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} + \frac{C a^{2} x}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} - \frac{C a^{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} - \frac{C a^{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} + \frac{C a^{2} \log{\left(- \frac{a}{a - b} - \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} + \frac{C a^{2} \log{\left(- \frac{a}{a - b} - \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} + \frac{2 C a b}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} + \frac{C b^{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} + \frac{C b^{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} - \frac{C b^{2} \log{\left(- \frac{a}{a - b} - \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} - \frac{C b^{2} \log{\left(- \frac{a}{a - b} - \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} + 2 a^{2} b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(A*x + B*sinh(x) + C*cosh(x)), Eq(a, 0) & Eq(b, 0)), (-2*A/(2*b*sinh(x) + 2*b*cosh(x)) + B*x*sinh(x)/(2*b*sinh(x) + 2*b*cosh(x)) + B*x*cosh(x)/(2*b*sinh(x) + 2*b*cosh(x)) - B*cosh(x)/(2*b*sinh(x) + 2*b*cosh(x)) + C*x*sinh(x)/(2*b*sinh(x) + 2*b*cosh(x)) + C*x*cosh(x)/(2*b*sinh(x) + 2*b*cosh(x)) + C*cosh(x)/(2*b*sinh(x) + 2*b*cosh(x)), Eq(a, 0)), ((A*x + B*sinh(x) + C*cosh(x))/a, Eq(b, 0)), (2*A*log(tanh(x/2) + 1)*tanh(x/2)/(2*b*tanh(x/2) + 2*b) + 2*A*log(tanh(x/2) + 1)/(2*b*tanh(x/2) + 2*b) + B*x*tanh(x/2)/(2*b*tanh(x/2) + 2*b) + B*x/(2*b*tanh(x/2) + 2*b) - 2*B*log(tanh(x/2) + 1)*tanh(x/2)/(2*b*tanh(x/2) + 2*b) - 2*B*log(tanh(x/2) + 1)/(2*b*tanh(x/2) + 2*b) - 2*B/(2*b*tanh(x/2) + 2*b) + C*x*tanh(x/2)/(2*b*tanh(x/2) + 2*b) + C*x/(2*b*tanh(x/2) + 2*b) + 2*C/(2*b*tanh(x/2) + 2*b), Eq(a, b)), (2*A*a*b*log(tanh(x/2) + 1)*tanh(x/2)/(2*a**2*b*tanh(x/2) + 2*a**2*b) + 2*A*a*b*log(tanh(x/2) + 1)/(2*a**2*b*tanh(x/2) + 2*a**2*b) - 2*A*a*b*log(-a/(a - b) - b/(a - b) + tanh(x/2))*tanh(x/2)/(2*a**2*b*tanh(x/2) + 2*a**2*b) - 2*A*a*b*log(-a/(a - b) - b/(a - b) + tanh(x/2))/(2*a**2*b*tanh(x/2) + 2*a**2*b) + B*a**2*x*tanh(x/2)/(2*a**2*b*tanh(x/2) + 2*a**2*b) + B*a**2*x/(2*a**2*b*tanh(x/2) + 2*a**2*b) - B*a**2*log(tanh(x/2) + 1)*tanh(x/2)/(2*a**2*b*tanh(x/2) + 2*a**2*b) - B*a**2*log(tanh(x/2) + 1)/(2*a**2*b*tanh(x/2) + 2*a**2*b) + B*a**2*log(-a/(a - b) - b/(a - b) + tanh(x/2))*tanh(x/2)/(2*a**2*b*tanh(x/2) + 2*a**2*b) + B*a**2*log(-a/(a - b) - b/(a - b) + tanh(x/2))/(2*a**2*b*tanh(x/2) + 2*a**2*b) - 2*B*a*b/(2*a**2*b*tanh(x/2) + 2*a**2*b) - B*b**2*log(tanh(x/2) + 1)*tanh(x/2)/(2*a**2*b*tanh(x/2) + 2*a**2*b) - B*b**2*log(tanh(x/2) + 1)/(2*a**2*b*tanh(x/2) + 2*a**2*b) + B*b**2*log(-a/(a - b) - b/(a - b) + tanh(x/2))*tanh(x/2)/(2*a**2*b*tanh(x/2) + 2*a**2*b) + B*b**2*log(-a/(a - b) - b/(a - b) + tanh(x/2))/(2*a**2*b*tanh(x/2) + 2*a**2*b) + C*a**2*x*tanh(x/2)/(2*a**2*b*tanh(x/2) + 2*a**2*b) + C*a**2*x/(2*a**2*b*tanh(x/2) + 2*a**2*b) - C*a**2*log(tanh(x/2) + 1)*tanh(x/2)/(2*a**2*b*tanh(x/2) + 2*a**2*b) - C*a**2*log(tanh(x/2) + 1)/(2*a**2*b*tanh(x/2) + 2*a**2*b) + C*a**2*log(-a/(a - b) - b/(a - b) + tanh(x/2))*tanh(x/2)/(2*a**2*b*tanh(x/2) + 2*a**2*b) + C*a**2*log(-a/(a - b) - b/(a - b) + tanh(x/2))/(2*a**2*b*tanh(x/2) + 2*a**2*b) + 2*C*a*b/(2*a**2*b*tanh(x/2) + 2*a**2*b) + C*b**2*log(tanh(x/2) + 1)*tanh(x/2)/(2*a**2*b*tanh(x/2) + 2*a**2*b) + C*b**2*log(tanh(x/2) + 1)/(2*a**2*b*tanh(x/2) + 2*a**2*b) - C*b**2*log(-a/(a - b) - b/(a - b) + tanh(x/2))*tanh(x/2)/(2*a**2*b*tanh(x/2) + 2*a**2*b) - C*b**2*log(-a/(a - b) - b/(a - b) + tanh(x/2))/(2*a**2*b*tanh(x/2) + 2*a**2*b), True))","A",0
805,1,852,0,5.256227," ","integrate((A+C*sinh(x))/(a+b*cosh(x)-b*sinh(x)),x)","\begin{cases} \tilde{\infty} \left(A x + C \cosh{\left(x \right)}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{2 A}{- 2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} + \frac{C x \sinh{\left(x \right)}}{- 2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} - \frac{C x \cosh{\left(x \right)}}{- 2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} + \frac{C \cosh{\left(x \right)}}{- 2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} & \text{for}\: a = 0 \\\frac{A x + C \cosh{\left(x \right)}}{a} & \text{for}\: b = 0 \\\frac{2 A x \tanh{\left(\frac{x}{2} \right)}}{2 b \tanh{\left(\frac{x}{2} \right)} - 2 b} - \frac{2 A x}{2 b \tanh{\left(\frac{x}{2} \right)} - 2 b} - \frac{2 A \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh{\left(\frac{x}{2} \right)}}{2 b \tanh{\left(\frac{x}{2} \right)} - 2 b} + \frac{2 A \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{2 b \tanh{\left(\frac{x}{2} \right)} - 2 b} - \frac{C x \tanh{\left(\frac{x}{2} \right)}}{2 b \tanh{\left(\frac{x}{2} \right)} - 2 b} + \frac{C x}{2 b \tanh{\left(\frac{x}{2} \right)} - 2 b} - \frac{2 C}{2 b \tanh{\left(\frac{x}{2} \right)} - 2 b} & \text{for}\: a = b \\\frac{2 A a b x \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} - \frac{2 A a b x}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} - \frac{2 A a b \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} + \frac{2 A a b \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} + \frac{2 A a b \log{\left(\frac{a}{a - b} + \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} - \frac{2 A a b \log{\left(\frac{a}{a - b} + \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} - \frac{C a^{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} + \frac{C a^{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} + \frac{C a^{2} \log{\left(\frac{a}{a - b} + \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} - \frac{C a^{2} \log{\left(\frac{a}{a - b} + \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} - \frac{2 C a b}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} - \frac{C b^{2} x \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} + \frac{C b^{2} x}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} + \frac{C b^{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} - \frac{C b^{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} - \frac{C b^{2} \log{\left(\frac{a}{a - b} + \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} + \frac{C b^{2} \log{\left(\frac{a}{a - b} + \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(A*x + C*cosh(x)), Eq(a, 0) & Eq(b, 0)), (2*A/(-2*b*sinh(x) + 2*b*cosh(x)) + C*x*sinh(x)/(-2*b*sinh(x) + 2*b*cosh(x)) - C*x*cosh(x)/(-2*b*sinh(x) + 2*b*cosh(x)) + C*cosh(x)/(-2*b*sinh(x) + 2*b*cosh(x)), Eq(a, 0)), ((A*x + C*cosh(x))/a, Eq(b, 0)), (2*A*x*tanh(x/2)/(2*b*tanh(x/2) - 2*b) - 2*A*x/(2*b*tanh(x/2) - 2*b) - 2*A*log(tanh(x/2) + 1)*tanh(x/2)/(2*b*tanh(x/2) - 2*b) + 2*A*log(tanh(x/2) + 1)/(2*b*tanh(x/2) - 2*b) - C*x*tanh(x/2)/(2*b*tanh(x/2) - 2*b) + C*x/(2*b*tanh(x/2) - 2*b) - 2*C/(2*b*tanh(x/2) - 2*b), Eq(a, b)), (2*A*a*b*x*tanh(x/2)/(2*a**2*b*tanh(x/2) - 2*a**2*b) - 2*A*a*b*x/(2*a**2*b*tanh(x/2) - 2*a**2*b) - 2*A*a*b*log(tanh(x/2) + 1)*tanh(x/2)/(2*a**2*b*tanh(x/2) - 2*a**2*b) + 2*A*a*b*log(tanh(x/2) + 1)/(2*a**2*b*tanh(x/2) - 2*a**2*b) + 2*A*a*b*log(a/(a - b) + b/(a - b) + tanh(x/2))*tanh(x/2)/(2*a**2*b*tanh(x/2) - 2*a**2*b) - 2*A*a*b*log(a/(a - b) + b/(a - b) + tanh(x/2))/(2*a**2*b*tanh(x/2) - 2*a**2*b) - C*a**2*log(tanh(x/2) + 1)*tanh(x/2)/(2*a**2*b*tanh(x/2) - 2*a**2*b) + C*a**2*log(tanh(x/2) + 1)/(2*a**2*b*tanh(x/2) - 2*a**2*b) + C*a**2*log(a/(a - b) + b/(a - b) + tanh(x/2))*tanh(x/2)/(2*a**2*b*tanh(x/2) - 2*a**2*b) - C*a**2*log(a/(a - b) + b/(a - b) + tanh(x/2))/(2*a**2*b*tanh(x/2) - 2*a**2*b) - 2*C*a*b/(2*a**2*b*tanh(x/2) - 2*a**2*b) - C*b**2*x*tanh(x/2)/(2*a**2*b*tanh(x/2) - 2*a**2*b) + C*b**2*x/(2*a**2*b*tanh(x/2) - 2*a**2*b) + C*b**2*log(tanh(x/2) + 1)*tanh(x/2)/(2*a**2*b*tanh(x/2) - 2*a**2*b) - C*b**2*log(tanh(x/2) + 1)/(2*a**2*b*tanh(x/2) - 2*a**2*b) - C*b**2*log(a/(a - b) + b/(a - b) + tanh(x/2))*tanh(x/2)/(2*a**2*b*tanh(x/2) - 2*a**2*b) + C*b**2*log(a/(a - b) + b/(a - b) + tanh(x/2))/(2*a**2*b*tanh(x/2) - 2*a**2*b), True))","A",0
806,1,904,0,5.262925," ","integrate((A+B*cosh(x))/(a+b*cosh(x)-b*sinh(x)),x)","\begin{cases} \tilde{\infty} \left(A x + B \sinh{\left(x \right)}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{2 A}{- 2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} - \frac{B x \sinh{\left(x \right)}}{- 2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} + \frac{B x \cosh{\left(x \right)}}{- 2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} + \frac{B \cosh{\left(x \right)}}{- 2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} & \text{for}\: a = 0 \\\frac{A x + B \sinh{\left(x \right)}}{a} & \text{for}\: b = 0 \\\frac{2 A x \tanh{\left(\frac{x}{2} \right)}}{2 b \tanh{\left(\frac{x}{2} \right)} - 2 b} - \frac{2 A x}{2 b \tanh{\left(\frac{x}{2} \right)} - 2 b} - \frac{2 A \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh{\left(\frac{x}{2} \right)}}{2 b \tanh{\left(\frac{x}{2} \right)} - 2 b} + \frac{2 A \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{2 b \tanh{\left(\frac{x}{2} \right)} - 2 b} - \frac{B x \tanh{\left(\frac{x}{2} \right)}}{2 b \tanh{\left(\frac{x}{2} \right)} - 2 b} + \frac{B x}{2 b \tanh{\left(\frac{x}{2} \right)} - 2 b} + \frac{2 B \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh{\left(\frac{x}{2} \right)}}{2 b \tanh{\left(\frac{x}{2} \right)} - 2 b} - \frac{2 B \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{2 b \tanh{\left(\frac{x}{2} \right)} - 2 b} - \frac{2 B}{2 b \tanh{\left(\frac{x}{2} \right)} - 2 b} & \text{for}\: a = b \\\frac{2 A a b x \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} - \frac{2 A a b x}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} - \frac{2 A a b \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} + \frac{2 A a b \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} + \frac{2 A a b \log{\left(\frac{a}{a - b} + \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} - \frac{2 A a b \log{\left(\frac{a}{a - b} + \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} + \frac{B a^{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} - \frac{B a^{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} - \frac{B a^{2} \log{\left(\frac{a}{a - b} + \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} + \frac{B a^{2} \log{\left(\frac{a}{a - b} + \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} - \frac{2 B a b}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} - \frac{B b^{2} x \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} + \frac{B b^{2} x}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} + \frac{B b^{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} - \frac{B b^{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} - \frac{B b^{2} \log{\left(\frac{a}{a - b} + \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} + \frac{B b^{2} \log{\left(\frac{a}{a - b} + \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(A*x + B*sinh(x)), Eq(a, 0) & Eq(b, 0)), (2*A/(-2*b*sinh(x) + 2*b*cosh(x)) - B*x*sinh(x)/(-2*b*sinh(x) + 2*b*cosh(x)) + B*x*cosh(x)/(-2*b*sinh(x) + 2*b*cosh(x)) + B*cosh(x)/(-2*b*sinh(x) + 2*b*cosh(x)), Eq(a, 0)), ((A*x + B*sinh(x))/a, Eq(b, 0)), (2*A*x*tanh(x/2)/(2*b*tanh(x/2) - 2*b) - 2*A*x/(2*b*tanh(x/2) - 2*b) - 2*A*log(tanh(x/2) + 1)*tanh(x/2)/(2*b*tanh(x/2) - 2*b) + 2*A*log(tanh(x/2) + 1)/(2*b*tanh(x/2) - 2*b) - B*x*tanh(x/2)/(2*b*tanh(x/2) - 2*b) + B*x/(2*b*tanh(x/2) - 2*b) + 2*B*log(tanh(x/2) + 1)*tanh(x/2)/(2*b*tanh(x/2) - 2*b) - 2*B*log(tanh(x/2) + 1)/(2*b*tanh(x/2) - 2*b) - 2*B/(2*b*tanh(x/2) - 2*b), Eq(a, b)), (2*A*a*b*x*tanh(x/2)/(2*a**2*b*tanh(x/2) - 2*a**2*b) - 2*A*a*b*x/(2*a**2*b*tanh(x/2) - 2*a**2*b) - 2*A*a*b*log(tanh(x/2) + 1)*tanh(x/2)/(2*a**2*b*tanh(x/2) - 2*a**2*b) + 2*A*a*b*log(tanh(x/2) + 1)/(2*a**2*b*tanh(x/2) - 2*a**2*b) + 2*A*a*b*log(a/(a - b) + b/(a - b) + tanh(x/2))*tanh(x/2)/(2*a**2*b*tanh(x/2) - 2*a**2*b) - 2*A*a*b*log(a/(a - b) + b/(a - b) + tanh(x/2))/(2*a**2*b*tanh(x/2) - 2*a**2*b) + B*a**2*log(tanh(x/2) + 1)*tanh(x/2)/(2*a**2*b*tanh(x/2) - 2*a**2*b) - B*a**2*log(tanh(x/2) + 1)/(2*a**2*b*tanh(x/2) - 2*a**2*b) - B*a**2*log(a/(a - b) + b/(a - b) + tanh(x/2))*tanh(x/2)/(2*a**2*b*tanh(x/2) - 2*a**2*b) + B*a**2*log(a/(a - b) + b/(a - b) + tanh(x/2))/(2*a**2*b*tanh(x/2) - 2*a**2*b) - 2*B*a*b/(2*a**2*b*tanh(x/2) - 2*a**2*b) - B*b**2*x*tanh(x/2)/(2*a**2*b*tanh(x/2) - 2*a**2*b) + B*b**2*x/(2*a**2*b*tanh(x/2) - 2*a**2*b) + B*b**2*log(tanh(x/2) + 1)*tanh(x/2)/(2*a**2*b*tanh(x/2) - 2*a**2*b) - B*b**2*log(tanh(x/2) + 1)/(2*a**2*b*tanh(x/2) - 2*a**2*b) - B*b**2*log(a/(a - b) + b/(a - b) + tanh(x/2))*tanh(x/2)/(2*a**2*b*tanh(x/2) - 2*a**2*b) + B*b**2*log(a/(a - b) + b/(a - b) + tanh(x/2))/(2*a**2*b*tanh(x/2) - 2*a**2*b), True))","A",0
807,1,1420,0,5.972804," ","integrate((A+B*cosh(x)+C*sinh(x))/(a+b*cosh(x)-b*sinh(x)),x)","\begin{cases} \tilde{\infty} \left(A x + B \sinh{\left(x \right)} + C \cosh{\left(x \right)}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{2 A}{- 2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} - \frac{B x \sinh{\left(x \right)}}{- 2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} + \frac{B x \cosh{\left(x \right)}}{- 2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} + \frac{B \cosh{\left(x \right)}}{- 2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} + \frac{C x \sinh{\left(x \right)}}{- 2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} - \frac{C x \cosh{\left(x \right)}}{- 2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} + \frac{C \cosh{\left(x \right)}}{- 2 b \sinh{\left(x \right)} + 2 b \cosh{\left(x \right)}} & \text{for}\: a = 0 \\\frac{A x + B \sinh{\left(x \right)} + C \cosh{\left(x \right)}}{a} & \text{for}\: b = 0 \\\frac{2 A x \tanh{\left(\frac{x}{2} \right)}}{2 b \tanh{\left(\frac{x}{2} \right)} - 2 b} - \frac{2 A x}{2 b \tanh{\left(\frac{x}{2} \right)} - 2 b} - \frac{2 A \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh{\left(\frac{x}{2} \right)}}{2 b \tanh{\left(\frac{x}{2} \right)} - 2 b} + \frac{2 A \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{2 b \tanh{\left(\frac{x}{2} \right)} - 2 b} - \frac{B x \tanh{\left(\frac{x}{2} \right)}}{2 b \tanh{\left(\frac{x}{2} \right)} - 2 b} + \frac{B x}{2 b \tanh{\left(\frac{x}{2} \right)} - 2 b} + \frac{2 B \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh{\left(\frac{x}{2} \right)}}{2 b \tanh{\left(\frac{x}{2} \right)} - 2 b} - \frac{2 B \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{2 b \tanh{\left(\frac{x}{2} \right)} - 2 b} - \frac{2 B}{2 b \tanh{\left(\frac{x}{2} \right)} - 2 b} - \frac{C x \tanh{\left(\frac{x}{2} \right)}}{2 b \tanh{\left(\frac{x}{2} \right)} - 2 b} + \frac{C x}{2 b \tanh{\left(\frac{x}{2} \right)} - 2 b} - \frac{2 C}{2 b \tanh{\left(\frac{x}{2} \right)} - 2 b} & \text{for}\: a = b \\\frac{2 A a b x \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} - \frac{2 A a b x}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} - \frac{2 A a b \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} + \frac{2 A a b \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} + \frac{2 A a b \log{\left(\frac{a}{a - b} + \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} - \frac{2 A a b \log{\left(\frac{a}{a - b} + \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} + \frac{B a^{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} - \frac{B a^{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} - \frac{B a^{2} \log{\left(\frac{a}{a - b} + \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} + \frac{B a^{2} \log{\left(\frac{a}{a - b} + \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} - \frac{2 B a b}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} - \frac{B b^{2} x \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} + \frac{B b^{2} x}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} + \frac{B b^{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} - \frac{B b^{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} - \frac{B b^{2} \log{\left(\frac{a}{a - b} + \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} + \frac{B b^{2} \log{\left(\frac{a}{a - b} + \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} - \frac{C a^{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} + \frac{C a^{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} + \frac{C a^{2} \log{\left(\frac{a}{a - b} + \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} - \frac{C a^{2} \log{\left(\frac{a}{a - b} + \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} - \frac{2 C a b}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} - \frac{C b^{2} x \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} + \frac{C b^{2} x}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} + \frac{C b^{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} - \frac{C b^{2} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} - \frac{C b^{2} \log{\left(\frac{a}{a - b} + \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)} \tanh{\left(\frac{x}{2} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} + \frac{C b^{2} \log{\left(\frac{a}{a - b} + \frac{b}{a - b} + \tanh{\left(\frac{x}{2} \right)} \right)}}{2 a^{2} b \tanh{\left(\frac{x}{2} \right)} - 2 a^{2} b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(A*x + B*sinh(x) + C*cosh(x)), Eq(a, 0) & Eq(b, 0)), (2*A/(-2*b*sinh(x) + 2*b*cosh(x)) - B*x*sinh(x)/(-2*b*sinh(x) + 2*b*cosh(x)) + B*x*cosh(x)/(-2*b*sinh(x) + 2*b*cosh(x)) + B*cosh(x)/(-2*b*sinh(x) + 2*b*cosh(x)) + C*x*sinh(x)/(-2*b*sinh(x) + 2*b*cosh(x)) - C*x*cosh(x)/(-2*b*sinh(x) + 2*b*cosh(x)) + C*cosh(x)/(-2*b*sinh(x) + 2*b*cosh(x)), Eq(a, 0)), ((A*x + B*sinh(x) + C*cosh(x))/a, Eq(b, 0)), (2*A*x*tanh(x/2)/(2*b*tanh(x/2) - 2*b) - 2*A*x/(2*b*tanh(x/2) - 2*b) - 2*A*log(tanh(x/2) + 1)*tanh(x/2)/(2*b*tanh(x/2) - 2*b) + 2*A*log(tanh(x/2) + 1)/(2*b*tanh(x/2) - 2*b) - B*x*tanh(x/2)/(2*b*tanh(x/2) - 2*b) + B*x/(2*b*tanh(x/2) - 2*b) + 2*B*log(tanh(x/2) + 1)*tanh(x/2)/(2*b*tanh(x/2) - 2*b) - 2*B*log(tanh(x/2) + 1)/(2*b*tanh(x/2) - 2*b) - 2*B/(2*b*tanh(x/2) - 2*b) - C*x*tanh(x/2)/(2*b*tanh(x/2) - 2*b) + C*x/(2*b*tanh(x/2) - 2*b) - 2*C/(2*b*tanh(x/2) - 2*b), Eq(a, b)), (2*A*a*b*x*tanh(x/2)/(2*a**2*b*tanh(x/2) - 2*a**2*b) - 2*A*a*b*x/(2*a**2*b*tanh(x/2) - 2*a**2*b) - 2*A*a*b*log(tanh(x/2) + 1)*tanh(x/2)/(2*a**2*b*tanh(x/2) - 2*a**2*b) + 2*A*a*b*log(tanh(x/2) + 1)/(2*a**2*b*tanh(x/2) - 2*a**2*b) + 2*A*a*b*log(a/(a - b) + b/(a - b) + tanh(x/2))*tanh(x/2)/(2*a**2*b*tanh(x/2) - 2*a**2*b) - 2*A*a*b*log(a/(a - b) + b/(a - b) + tanh(x/2))/(2*a**2*b*tanh(x/2) - 2*a**2*b) + B*a**2*log(tanh(x/2) + 1)*tanh(x/2)/(2*a**2*b*tanh(x/2) - 2*a**2*b) - B*a**2*log(tanh(x/2) + 1)/(2*a**2*b*tanh(x/2) - 2*a**2*b) - B*a**2*log(a/(a - b) + b/(a - b) + tanh(x/2))*tanh(x/2)/(2*a**2*b*tanh(x/2) - 2*a**2*b) + B*a**2*log(a/(a - b) + b/(a - b) + tanh(x/2))/(2*a**2*b*tanh(x/2) - 2*a**2*b) - 2*B*a*b/(2*a**2*b*tanh(x/2) - 2*a**2*b) - B*b**2*x*tanh(x/2)/(2*a**2*b*tanh(x/2) - 2*a**2*b) + B*b**2*x/(2*a**2*b*tanh(x/2) - 2*a**2*b) + B*b**2*log(tanh(x/2) + 1)*tanh(x/2)/(2*a**2*b*tanh(x/2) - 2*a**2*b) - B*b**2*log(tanh(x/2) + 1)/(2*a**2*b*tanh(x/2) - 2*a**2*b) - B*b**2*log(a/(a - b) + b/(a - b) + tanh(x/2))*tanh(x/2)/(2*a**2*b*tanh(x/2) - 2*a**2*b) + B*b**2*log(a/(a - b) + b/(a - b) + tanh(x/2))/(2*a**2*b*tanh(x/2) - 2*a**2*b) - C*a**2*log(tanh(x/2) + 1)*tanh(x/2)/(2*a**2*b*tanh(x/2) - 2*a**2*b) + C*a**2*log(tanh(x/2) + 1)/(2*a**2*b*tanh(x/2) - 2*a**2*b) + C*a**2*log(a/(a - b) + b/(a - b) + tanh(x/2))*tanh(x/2)/(2*a**2*b*tanh(x/2) - 2*a**2*b) - C*a**2*log(a/(a - b) + b/(a - b) + tanh(x/2))/(2*a**2*b*tanh(x/2) - 2*a**2*b) - 2*C*a*b/(2*a**2*b*tanh(x/2) - 2*a**2*b) - C*b**2*x*tanh(x/2)/(2*a**2*b*tanh(x/2) - 2*a**2*b) + C*b**2*x/(2*a**2*b*tanh(x/2) - 2*a**2*b) + C*b**2*log(tanh(x/2) + 1)*tanh(x/2)/(2*a**2*b*tanh(x/2) - 2*a**2*b) - C*b**2*log(tanh(x/2) + 1)/(2*a**2*b*tanh(x/2) - 2*a**2*b) - C*b**2*log(a/(a - b) + b/(a - b) + tanh(x/2))*tanh(x/2)/(2*a**2*b*tanh(x/2) - 2*a**2*b) + C*b**2*log(a/(a - b) + b/(a - b) + tanh(x/2))/(2*a**2*b*tanh(x/2) - 2*a**2*b), True))","A",0
808,1,172,0,7.664121," ","integrate(1/(cosh(x)**2+sinh(x)**2),x)","\frac{47321 \sqrt{3 - 2 \sqrt{2}} \operatorname{atan}{\left(\frac{\tanh{\left(\frac{x}{2} \right)}}{\sqrt{3 - 2 \sqrt{2}}} \right)}}{13860 \sqrt{2} + 19601} + \frac{33461 \sqrt{2} \sqrt{3 - 2 \sqrt{2}} \operatorname{atan}{\left(\frac{\tanh{\left(\frac{x}{2} \right)}}{\sqrt{3 - 2 \sqrt{2}}} \right)}}{13860 \sqrt{2} + 19601} - \frac{5741 \sqrt{2} \sqrt{2 \sqrt{2} + 3} \operatorname{atan}{\left(\frac{\tanh{\left(\frac{x}{2} \right)}}{\sqrt{2 \sqrt{2} + 3}} \right)}}{13860 \sqrt{2} + 19601} - \frac{8119 \sqrt{2 \sqrt{2} + 3} \operatorname{atan}{\left(\frac{\tanh{\left(\frac{x}{2} \right)}}{\sqrt{2 \sqrt{2} + 3}} \right)}}{13860 \sqrt{2} + 19601}"," ",0,"47321*sqrt(3 - 2*sqrt(2))*atan(tanh(x/2)/sqrt(3 - 2*sqrt(2)))/(13860*sqrt(2) + 19601) + 33461*sqrt(2)*sqrt(3 - 2*sqrt(2))*atan(tanh(x/2)/sqrt(3 - 2*sqrt(2)))/(13860*sqrt(2) + 19601) - 5741*sqrt(2)*sqrt(2*sqrt(2) + 3)*atan(tanh(x/2)/sqrt(2*sqrt(2) + 3))/(13860*sqrt(2) + 19601) - 8119*sqrt(2*sqrt(2) + 3)*atan(tanh(x/2)/sqrt(2*sqrt(2) + 3))/(13860*sqrt(2) + 19601)","B",0
809,1,48,0,1.368218," ","integrate(1/(cosh(x)**2+sinh(x)**2)**2,x)","\frac{2 \tanh^{3}{\left(\frac{x}{2} \right)}}{\tanh^{4}{\left(\frac{x}{2} \right)} + 6 \tanh^{2}{\left(\frac{x}{2} \right)} + 1} + \frac{2 \tanh{\left(\frac{x}{2} \right)}}{\tanh^{4}{\left(\frac{x}{2} \right)} + 6 \tanh^{2}{\left(\frac{x}{2} \right)} + 1}"," ",0,"2*tanh(x/2)**3/(tanh(x/2)**4 + 6*tanh(x/2)**2 + 1) + 2*tanh(x/2)/(tanh(x/2)**4 + 6*tanh(x/2)**2 + 1)","B",0
810,-1,0,0,0.000000," ","integrate(1/(cosh(x)**2+sinh(x)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
811,1,10,0,0.392752," ","integrate(1/(cosh(x)**2-sinh(x)**2),x)","\frac{x}{- \sinh^{2}{\left(x \right)} + \cosh^{2}{\left(x \right)}}"," ",0,"x/(-sinh(x)**2 + cosh(x)**2)","B",0
812,1,22,0,1.110270," ","integrate(1/(cosh(x)**2-sinh(x)**2)**2,x)","\frac{x}{\sinh^{4}{\left(x \right)} - 2 \sinh^{2}{\left(x \right)} \cosh^{2}{\left(x \right)} + \cosh^{4}{\left(x \right)}}"," ",0,"x/(sinh(x)**4 - 2*sinh(x)**2*cosh(x)**2 + cosh(x)**4)","B",0
813,1,34,0,2.312423," ","integrate(1/(cosh(x)**2-sinh(x)**2)**3,x)","\frac{x}{- \sinh^{6}{\left(x \right)} + 3 \sinh^{4}{\left(x \right)} \cosh^{2}{\left(x \right)} - 3 \sinh^{2}{\left(x \right)} \cosh^{4}{\left(x \right)} + \cosh^{6}{\left(x \right)}}"," ",0,"x/(-sinh(x)**6 + 3*sinh(x)**4*cosh(x)**2 - 3*sinh(x)**2*cosh(x)**4 + cosh(x)**6)","B",0
814,0,0,0,0.000000," ","integrate(1/(sech(x)**2+tanh(x)**2),x)","\int \frac{1}{\tanh^{2}{\left(x \right)} + \operatorname{sech}^{2}{\left(x \right)}}\, dx"," ",0,"Integral(1/(tanh(x)**2 + sech(x)**2), x)","F",0
815,0,0,0,0.000000," ","integrate(1/(sech(x)**2+tanh(x)**2)**2,x)","\int \frac{1}{\left(\tanh^{2}{\left(x \right)} + \operatorname{sech}^{2}{\left(x \right)}\right)^{2}}\, dx"," ",0,"Integral((tanh(x)**2 + sech(x)**2)**(-2), x)","F",0
816,0,0,0,0.000000," ","integrate(1/(sech(x)**2+tanh(x)**2)**3,x)","\int \frac{1}{\left(\tanh^{2}{\left(x \right)} + \operatorname{sech}^{2}{\left(x \right)}\right)^{3}}\, dx"," ",0,"Integral((tanh(x)**2 + sech(x)**2)**(-3), x)","F",0
817,0,0,0,0.000000," ","integrate(1/(sech(x)**2-tanh(x)**2),x)","\int \frac{1}{\left(- \tanh{\left(x \right)} + \operatorname{sech}{\left(x \right)}\right) \left(\tanh{\left(x \right)} + \operatorname{sech}{\left(x \right)}\right)}\, dx"," ",0,"Integral(1/((-tanh(x) + sech(x))*(tanh(x) + sech(x))), x)","F",0
818,0,0,0,0.000000," ","integrate(1/(sech(x)**2-tanh(x)**2)**2,x)","\int \frac{1}{\left(- \tanh{\left(x \right)} + \operatorname{sech}{\left(x \right)}\right)^{2} \left(\tanh{\left(x \right)} + \operatorname{sech}{\left(x \right)}\right)^{2}}\, dx"," ",0,"Integral(1/((-tanh(x) + sech(x))**2*(tanh(x) + sech(x))**2), x)","F",0
819,0,0,0,0.000000," ","integrate(1/(sech(x)**2-tanh(x)**2)**3,x)","\int \frac{1}{\left(- \tanh{\left(x \right)} + \operatorname{sech}{\left(x \right)}\right)^{3} \left(\tanh{\left(x \right)} + \operatorname{sech}{\left(x \right)}\right)^{3}}\, dx"," ",0,"Integral(1/((-tanh(x) + sech(x))**3*(tanh(x) + sech(x))**3), x)","F",0
820,0,0,0,0.000000," ","integrate(1/(coth(x)**2+csch(x)**2),x)","\int \frac{1}{\coth^{2}{\left(x \right)} + \operatorname{csch}^{2}{\left(x \right)}}\, dx"," ",0,"Integral(1/(coth(x)**2 + csch(x)**2), x)","F",0
821,0,0,0,0.000000," ","integrate(1/(coth(x)**2+csch(x)**2)**2,x)","\int \frac{1}{\left(\coth^{2}{\left(x \right)} + \operatorname{csch}^{2}{\left(x \right)}\right)^{2}}\, dx"," ",0,"Integral((coth(x)**2 + csch(x)**2)**(-2), x)","F",0
822,0,0,0,0.000000," ","integrate(1/(coth(x)**2+csch(x)**2)**3,x)","\int \frac{1}{\left(\coth^{2}{\left(x \right)} + \operatorname{csch}^{2}{\left(x \right)}\right)^{3}}\, dx"," ",0,"Integral((coth(x)**2 + csch(x)**2)**(-3), x)","F",0
823,0,0,0,0.000000," ","integrate(1/(coth(x)**2-csch(x)**2),x)","\int \frac{1}{\left(\coth{\left(x \right)} - \operatorname{csch}{\left(x \right)}\right) \left(\coth{\left(x \right)} + \operatorname{csch}{\left(x \right)}\right)}\, dx"," ",0,"Integral(1/((coth(x) - csch(x))*(coth(x) + csch(x))), x)","F",0
824,0,0,0,0.000000," ","integrate(1/(coth(x)**2-csch(x)**2)**2,x)","\int \frac{1}{\left(\coth{\left(x \right)} - \operatorname{csch}{\left(x \right)}\right)^{2} \left(\coth{\left(x \right)} + \operatorname{csch}{\left(x \right)}\right)^{2}}\, dx"," ",0,"Integral(1/((coth(x) - csch(x))**2*(coth(x) + csch(x))**2), x)","F",0
825,0,0,0,0.000000," ","integrate(1/(coth(x)**2-csch(x)**2)**3,x)","\int \frac{1}{\left(\coth{\left(x \right)} - \operatorname{csch}{\left(x \right)}\right)^{3} \left(\coth{\left(x \right)} + \operatorname{csch}{\left(x \right)}\right)^{3}}\, dx"," ",0,"Integral(1/((coth(x) - csch(x))**3*(coth(x) + csch(x))**3), x)","F",0
826,-1,0,0,0.000000," ","integrate(1/(a+b*sinh(x)+c*sinh(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
827,-1,0,0,0.000000," ","integrate(sinh(x)/(a+b*sinh(x)+c*sinh(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
828,-1,0,0,0.000000," ","integrate(sinh(x)**2/(a+b*sinh(x)+c*sinh(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
829,-1,0,0,0.000000," ","integrate(sinh(x)**3/(a+b*sinh(x)+c*sinh(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
830,-1,0,0,0.000000," ","integrate((a+b*sinh(x))/(b**2-2*a*b*sinh(x)+a**2*sinh(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
831,-1,0,0,0.000000," ","integrate((d+e*sinh(x))/(a+b*sinh(x)+c*sinh(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
832,-1,0,0,0.000000," ","integrate(1/(a+b*cosh(x)+c*cosh(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
833,-1,0,0,0.000000," ","integrate(cosh(x)/(a+b*cosh(x)+c*cosh(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
834,-1,0,0,0.000000," ","integrate(cosh(x)**2/(a+b*cosh(x)+c*cosh(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
835,-1,0,0,0.000000," ","integrate(cosh(x)**3/(a+b*cosh(x)+c*cosh(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
836,-1,0,0,0.000000," ","integrate((a+b*cosh(x))/(b**2+2*a*b*cosh(x)+a**2*cosh(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
837,-1,0,0,0.000000," ","integrate((d+e*cosh(x))/(a+b*cosh(x)+c*cosh(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
838,1,243,0,1.538806," ","integrate(sinh(x)**2/(a*cosh(x)**2+b*sinh(x)**2),x)","\begin{cases} \tilde{\infty} x & \text{for}\: a = 0 \wedge b = 0 \\\frac{x}{b} & \text{for}\: a = 0 \\- \frac{x \sinh^{2}{\left(x \right)}}{- 2 b \sinh^{2}{\left(x \right)} + 2 b \cosh^{2}{\left(x \right)}} + \frac{x \cosh^{2}{\left(x \right)}}{- 2 b \sinh^{2}{\left(x \right)} + 2 b \cosh^{2}{\left(x \right)}} - \frac{\sinh{\left(x \right)} \cosh{\left(x \right)}}{- 2 b \sinh^{2}{\left(x \right)} + 2 b \cosh^{2}{\left(x \right)}} & \text{for}\: a = - b \\\frac{x - \frac{\sinh{\left(x \right)}}{\cosh{\left(x \right)}}}{a} & \text{for}\: b = 0 \\\frac{2 i \sqrt{b} x \sqrt{\frac{1}{a}}}{2 i a \sqrt{b} \sqrt{\frac{1}{a}} + 2 i b^{\frac{3}{2}} \sqrt{\frac{1}{a}}} + \frac{\log{\left(- i \sqrt{b} \sqrt{\frac{1}{a}} \sinh{\left(x \right)} + \cosh{\left(x \right)} \right)}}{2 i a \sqrt{b} \sqrt{\frac{1}{a}} + 2 i b^{\frac{3}{2}} \sqrt{\frac{1}{a}}} - \frac{\log{\left(i \sqrt{b} \sqrt{\frac{1}{a}} \sinh{\left(x \right)} + \cosh{\left(x \right)} \right)}}{2 i a \sqrt{b} \sqrt{\frac{1}{a}} + 2 i b^{\frac{3}{2}} \sqrt{\frac{1}{a}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x, Eq(a, 0) & Eq(b, 0)), (x/b, Eq(a, 0)), (-x*sinh(x)**2/(-2*b*sinh(x)**2 + 2*b*cosh(x)**2) + x*cosh(x)**2/(-2*b*sinh(x)**2 + 2*b*cosh(x)**2) - sinh(x)*cosh(x)/(-2*b*sinh(x)**2 + 2*b*cosh(x)**2), Eq(a, -b)), ((x - sinh(x)/cosh(x))/a, Eq(b, 0)), (2*I*sqrt(b)*x*sqrt(1/a)/(2*I*a*sqrt(b)*sqrt(1/a) + 2*I*b**(3/2)*sqrt(1/a)) + log(-I*sqrt(b)*sqrt(1/a)*sinh(x) + cosh(x))/(2*I*a*sqrt(b)*sqrt(1/a) + 2*I*b**(3/2)*sqrt(1/a)) - log(I*sqrt(b)*sqrt(1/a)*sinh(x) + cosh(x))/(2*I*a*sqrt(b)*sqrt(1/a) + 2*I*b**(3/2)*sqrt(1/a)), True))","A",0
839,1,265,0,1.693786," ","integrate(cosh(x)**2/(a*cosh(x)**2+b*sinh(x)**2),x)","\begin{cases} \tilde{\infty} \left(x - \frac{\cosh{\left(x \right)}}{\sinh{\left(x \right)}}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{x - \frac{\cosh{\left(x \right)}}{\sinh{\left(x \right)}}}{b} & \text{for}\: a = 0 \\\frac{x \sinh^{2}{\left(x \right)}}{- 2 b \sinh^{2}{\left(x \right)} + 2 b \cosh^{2}{\left(x \right)}} - \frac{x \cosh^{2}{\left(x \right)}}{- 2 b \sinh^{2}{\left(x \right)} + 2 b \cosh^{2}{\left(x \right)}} - \frac{\sinh{\left(x \right)} \cosh{\left(x \right)}}{- 2 b \sinh^{2}{\left(x \right)} + 2 b \cosh^{2}{\left(x \right)}} & \text{for}\: a = - b \\\frac{x}{a} & \text{for}\: b = 0 \\\frac{2 i a \sqrt{b} x \sqrt{\frac{1}{a}}}{2 i a^{2} \sqrt{b} \sqrt{\frac{1}{a}} + 2 i a b^{\frac{3}{2}} \sqrt{\frac{1}{a}}} - \frac{b \log{\left(- i \sqrt{b} \sqrt{\frac{1}{a}} \sinh{\left(x \right)} + \cosh{\left(x \right)} \right)}}{2 i a^{2} \sqrt{b} \sqrt{\frac{1}{a}} + 2 i a b^{\frac{3}{2}} \sqrt{\frac{1}{a}}} + \frac{b \log{\left(i \sqrt{b} \sqrt{\frac{1}{a}} \sinh{\left(x \right)} + \cosh{\left(x \right)} \right)}}{2 i a^{2} \sqrt{b} \sqrt{\frac{1}{a}} + 2 i a b^{\frac{3}{2}} \sqrt{\frac{1}{a}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(x - cosh(x)/sinh(x)), Eq(a, 0) & Eq(b, 0)), ((x - cosh(x)/sinh(x))/b, Eq(a, 0)), (x*sinh(x)**2/(-2*b*sinh(x)**2 + 2*b*cosh(x)**2) - x*cosh(x)**2/(-2*b*sinh(x)**2 + 2*b*cosh(x)**2) - sinh(x)*cosh(x)/(-2*b*sinh(x)**2 + 2*b*cosh(x)**2), Eq(a, -b)), (x/a, Eq(b, 0)), (2*I*a*sqrt(b)*x*sqrt(1/a)/(2*I*a**2*sqrt(b)*sqrt(1/a) + 2*I*a*b**(3/2)*sqrt(1/a)) - b*log(-I*sqrt(b)*sqrt(1/a)*sinh(x) + cosh(x))/(2*I*a**2*sqrt(b)*sqrt(1/a) + 2*I*a*b**(3/2)*sqrt(1/a)) + b*log(I*sqrt(b)*sqrt(1/a)*sinh(x) + cosh(x))/(2*I*a**2*sqrt(b)*sqrt(1/a) + 2*I*a*b**(3/2)*sqrt(1/a)), True))","A",0
840,1,136,0,1.545283," ","integrate(sinh(x)**3/(cosh(x)**3+sinh(x)**3),x)","\frac{9 x \sinh{\left(x \right)}}{18 \sinh{\left(x \right)} + 18 \cosh{\left(x \right)}} + \frac{9 x \cosh{\left(x \right)}}{18 \sinh{\left(x \right)} + 18 \cosh{\left(x \right)}} - \frac{4 \sqrt{3} \sinh{\left(x \right)} \operatorname{atan}{\left(\frac{\sqrt{3}}{3} - \frac{2 \sqrt{3} \cosh{\left(x \right)}}{3 \sinh{\left(x \right)}} \right)}}{18 \sinh{\left(x \right)} + 18 \cosh{\left(x \right)}} - \frac{4 \sqrt{3} \cosh{\left(x \right)} \operatorname{atan}{\left(\frac{\sqrt{3}}{3} - \frac{2 \sqrt{3} \cosh{\left(x \right)}}{3 \sinh{\left(x \right)}} \right)}}{18 \sinh{\left(x \right)} + 18 \cosh{\left(x \right)}} + \frac{3 \cosh{\left(x \right)}}{18 \sinh{\left(x \right)} + 18 \cosh{\left(x \right)}}"," ",0,"9*x*sinh(x)/(18*sinh(x) + 18*cosh(x)) + 9*x*cosh(x)/(18*sinh(x) + 18*cosh(x)) - 4*sqrt(3)*sinh(x)*atan(sqrt(3)/3 - 2*sqrt(3)*cosh(x)/(3*sinh(x)))/(18*sinh(x) + 18*cosh(x)) - 4*sqrt(3)*cosh(x)*atan(sqrt(3)/3 - 2*sqrt(3)*cosh(x)/(3*sinh(x)))/(18*sinh(x) + 18*cosh(x)) + 3*cosh(x)/(18*sinh(x) + 18*cosh(x))","B",0
841,1,136,0,1.526883," ","integrate(cosh(x)**3/(cosh(x)**3+sinh(x)**3),x)","\frac{9 x \sinh{\left(x \right)}}{18 \sinh{\left(x \right)} + 18 \cosh{\left(x \right)}} + \frac{9 x \cosh{\left(x \right)}}{18 \sinh{\left(x \right)} + 18 \cosh{\left(x \right)}} + \frac{4 \sqrt{3} \sinh{\left(x \right)} \operatorname{atan}{\left(\frac{\sqrt{3}}{3} - \frac{2 \sqrt{3} \cosh{\left(x \right)}}{3 \sinh{\left(x \right)}} \right)}}{18 \sinh{\left(x \right)} + 18 \cosh{\left(x \right)}} + \frac{4 \sqrt{3} \cosh{\left(x \right)} \operatorname{atan}{\left(\frac{\sqrt{3}}{3} - \frac{2 \sqrt{3} \cosh{\left(x \right)}}{3 \sinh{\left(x \right)}} \right)}}{18 \sinh{\left(x \right)} + 18 \cosh{\left(x \right)}} - \frac{3 \cosh{\left(x \right)}}{18 \sinh{\left(x \right)} + 18 \cosh{\left(x \right)}}"," ",0,"9*x*sinh(x)/(18*sinh(x) + 18*cosh(x)) + 9*x*cosh(x)/(18*sinh(x) + 18*cosh(x)) + 4*sqrt(3)*sinh(x)*atan(sqrt(3)/3 - 2*sqrt(3)*cosh(x)/(3*sinh(x)))/(18*sinh(x) + 18*cosh(x)) + 4*sqrt(3)*cosh(x)*atan(sqrt(3)/3 - 2*sqrt(3)*cosh(x)/(3*sinh(x)))/(18*sinh(x) + 18*cosh(x)) - 3*cosh(x)/(18*sinh(x) + 18*cosh(x))","B",0
842,0,0,0,0.000000," ","integrate(x*csch(x)*sech(x)/(a*sech(x)**2)**(1/2),x)","\int \frac{x \operatorname{csch}{\left(x \right)} \operatorname{sech}{\left(x \right)}}{\sqrt{a \operatorname{sech}^{2}{\left(x \right)}}}\, dx"," ",0,"Integral(x*csch(x)*sech(x)/sqrt(a*sech(x)**2), x)","F",0
843,0,0,0,0.000000," ","integrate(x**2*csch(x)*sech(x)/(a*sech(x)**2)**(1/2),x)","\int \frac{x^{2} \operatorname{csch}{\left(x \right)} \operatorname{sech}{\left(x \right)}}{\sqrt{a \operatorname{sech}^{2}{\left(x \right)}}}\, dx"," ",0,"Integral(x**2*csch(x)*sech(x)/sqrt(a*sech(x)**2), x)","F",0
844,0,0,0,0.000000," ","integrate(x**3*csch(x)*sech(x)/(a*sech(x)**2)**(1/2),x)","\int \frac{x^{3} \operatorname{csch}{\left(x \right)} \operatorname{sech}{\left(x \right)}}{\sqrt{a \operatorname{sech}^{2}{\left(x \right)}}}\, dx"," ",0,"Integral(x**3*csch(x)*sech(x)/sqrt(a*sech(x)**2), x)","F",0
845,0,0,0,0.000000," ","integrate(x*csch(x)*sech(x)/(a*sech(x)**4)**(1/2),x)","\int \frac{x \operatorname{csch}{\left(x \right)} \operatorname{sech}{\left(x \right)}}{\sqrt{a \operatorname{sech}^{4}{\left(x \right)}}}\, dx"," ",0,"Integral(x*csch(x)*sech(x)/sqrt(a*sech(x)**4), x)","F",0
846,0,0,0,0.000000," ","integrate(x**2*csch(x)*sech(x)/(a*sech(x)**4)**(1/2),x)","\int \frac{x^{2} \operatorname{csch}{\left(x \right)} \operatorname{sech}{\left(x \right)}}{\sqrt{a \operatorname{sech}^{4}{\left(x \right)}}}\, dx"," ",0,"Integral(x**2*csch(x)*sech(x)/sqrt(a*sech(x)**4), x)","F",0
847,0,0,0,0.000000," ","integrate(x**3*csch(x)*sech(x)/(a*sech(x)**4)**(1/2),x)","\int \frac{x^{3} \operatorname{csch}{\left(x \right)} \operatorname{sech}{\left(x \right)}}{\sqrt{a \operatorname{sech}^{4}{\left(x \right)}}}\, dx"," ",0,"Integral(x**3*csch(x)*sech(x)/sqrt(a*sech(x)**4), x)","F",0
848,0,0,0,0.000000," ","integrate(x*csch(x)*sech(x)*(a*sech(x)**2)**(1/2),x)","\int x \sqrt{a \operatorname{sech}^{2}{\left(x \right)}} \operatorname{csch}{\left(x \right)} \operatorname{sech}{\left(x \right)}\, dx"," ",0,"Integral(x*sqrt(a*sech(x)**2)*csch(x)*sech(x), x)","F",0
849,0,0,0,0.000000," ","integrate(x**2*csch(x)*sech(x)*(a*sech(x)**2)**(1/2),x)","\int x^{2} \sqrt{a \operatorname{sech}^{2}{\left(x \right)}} \operatorname{csch}{\left(x \right)} \operatorname{sech}{\left(x \right)}\, dx"," ",0,"Integral(x**2*sqrt(a*sech(x)**2)*csch(x)*sech(x), x)","F",0
850,0,0,0,0.000000," ","integrate(x**3*csch(x)*sech(x)*(a*sech(x)**2)**(1/2),x)","\int x^{3} \sqrt{a \operatorname{sech}^{2}{\left(x \right)}} \operatorname{csch}{\left(x \right)} \operatorname{sech}{\left(x \right)}\, dx"," ",0,"Integral(x**3*sqrt(a*sech(x)**2)*csch(x)*sech(x), x)","F",0
851,0,0,0,0.000000," ","integrate(x*csch(x)*sech(x)*(a*sech(x)**4)**(1/2),x)","\int x \sqrt{a \operatorname{sech}^{4}{\left(x \right)}} \operatorname{csch}{\left(x \right)} \operatorname{sech}{\left(x \right)}\, dx"," ",0,"Integral(x*sqrt(a*sech(x)**4)*csch(x)*sech(x), x)","F",0
852,0,0,0,0.000000," ","integrate(x**2*csch(x)*sech(x)*(a*sech(x)**4)**(1/2),x)","\int x^{2} \sqrt{a \operatorname{sech}^{4}{\left(x \right)}} \operatorname{csch}{\left(x \right)} \operatorname{sech}{\left(x \right)}\, dx"," ",0,"Integral(x**2*sqrt(a*sech(x)**4)*csch(x)*sech(x), x)","F",0
853,0,0,0,0.000000," ","integrate(x**3*csch(x)*sech(x)*(a*sech(x)**4)**(1/2),x)","\int x^{3} \sqrt{a \operatorname{sech}^{4}{\left(x \right)}} \operatorname{csch}{\left(x \right)} \operatorname{sech}{\left(x \right)}\, dx"," ",0,"Integral(x**3*sqrt(a*sech(x)**4)*csch(x)*sech(x), x)","F",0
854,-1,0,0,0.000000," ","integrate((a+b*cosh(d*x+c)*sinh(d*x+c))**m,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
855,1,190,0,3.245306," ","integrate((a+b*cosh(d*x+c)*sinh(d*x+c))**3,x)","\begin{cases} a^{3} x + \frac{3 a^{2} b \sinh^{2}{\left(c + d x \right)}}{2 d} - \frac{3 a b^{2} x \sinh^{4}{\left(c + d x \right)}}{8} + \frac{3 a b^{2} x \sinh^{2}{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{4} - \frac{3 a b^{2} x \cosh^{4}{\left(c + d x \right)}}{8} + \frac{3 a b^{2} \sinh^{3}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{8 d} + \frac{3 a b^{2} \sinh{\left(c + d x \right)} \cosh^{3}{\left(c + d x \right)}}{8 d} + \frac{b^{3} \sinh^{2}{\left(c + d x \right)} \cosh^{4}{\left(c + d x \right)}}{4 d} - \frac{b^{3} \cosh^{6}{\left(c + d x \right)}}{12 d} & \text{for}\: d \neq 0 \\x \left(a + b \sinh{\left(c \right)} \cosh{\left(c \right)}\right)^{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**3*x + 3*a**2*b*sinh(c + d*x)**2/(2*d) - 3*a*b**2*x*sinh(c + d*x)**4/8 + 3*a*b**2*x*sinh(c + d*x)**2*cosh(c + d*x)**2/4 - 3*a*b**2*x*cosh(c + d*x)**4/8 + 3*a*b**2*sinh(c + d*x)**3*cosh(c + d*x)/(8*d) + 3*a*b**2*sinh(c + d*x)*cosh(c + d*x)**3/(8*d) + b**3*sinh(c + d*x)**2*cosh(c + d*x)**4/(4*d) - b**3*cosh(c + d*x)**6/(12*d), Ne(d, 0)), (x*(a + b*sinh(c)*cosh(c))**3, True))","A",0
856,1,129,0,0.927639," ","integrate((a+b*cosh(d*x+c)*sinh(d*x+c))**2,x)","\begin{cases} a^{2} x + \frac{a b \sinh^{2}{\left(c + d x \right)}}{d} - \frac{b^{2} x \sinh^{4}{\left(c + d x \right)}}{8} + \frac{b^{2} x \sinh^{2}{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{4} - \frac{b^{2} x \cosh^{4}{\left(c + d x \right)}}{8} + \frac{b^{2} \sinh^{3}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{8 d} + \frac{b^{2} \sinh{\left(c + d x \right)} \cosh^{3}{\left(c + d x \right)}}{8 d} & \text{for}\: d \neq 0 \\x \left(a + b \sinh{\left(c \right)} \cosh{\left(c \right)}\right)^{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*x + a*b*sinh(c + d*x)**2/d - b**2*x*sinh(c + d*x)**4/8 + b**2*x*sinh(c + d*x)**2*cosh(c + d*x)**2/4 - b**2*x*cosh(c + d*x)**4/8 + b**2*sinh(c + d*x)**3*cosh(c + d*x)/(8*d) + b**2*sinh(c + d*x)*cosh(c + d*x)**3/(8*d), Ne(d, 0)), (x*(a + b*sinh(c)*cosh(c))**2, True))","A",0
857,1,24,0,0.186461," ","integrate(a+b*cosh(d*x+c)*sinh(d*x+c),x)","a x + b \left(\begin{cases} \frac{\sinh^{2}{\left(c + d x \right)}}{2 d} & \text{for}\: d \neq 0 \\x \sinh{\left(c \right)} \cosh{\left(c \right)} & \text{otherwise} \end{cases}\right)"," ",0,"a*x + b*Piecewise((sinh(c + d*x)**2/(2*d), Ne(d, 0)), (x*sinh(c)*cosh(c), True))","A",0
858,-1,0,0,0.000000," ","integrate(1/(a+b*cosh(d*x+c)*sinh(d*x+c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
859,-1,0,0,0.000000," ","integrate(1/(a+b*cosh(d*x+c)*sinh(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
860,-1,0,0,0.000000," ","integrate(1/(a+b*cosh(d*x+c)*sinh(d*x+c))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
861,-1,0,0,0.000000," ","integrate((a+b*cosh(d*x+c)*sinh(d*x+c))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
862,-1,0,0,0.000000," ","integrate((a+b*cosh(d*x+c)*sinh(d*x+c))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
863,0,0,0,0.000000," ","integrate((a+b*cosh(d*x+c)*sinh(d*x+c))**(1/2),x)","\int \sqrt{a + b \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}\, dx"," ",0,"Integral(sqrt(a + b*sinh(c + d*x)*cosh(c + d*x)), x)","F",0
864,0,0,0,0.000000," ","integrate(1/(a+b*cosh(d*x+c)*sinh(d*x+c))**(1/2),x)","\int \frac{1}{\sqrt{a + b \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}}\, dx"," ",0,"Integral(1/sqrt(a + b*sinh(c + d*x)*cosh(c + d*x)), x)","F",0
865,0,0,0,0.000000," ","integrate(1/(a+b*cosh(d*x+c)*sinh(d*x+c))**(3/2),x)","\int \frac{1}{\left(a + b \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*sinh(c + d*x)*cosh(c + d*x))**(-3/2), x)","F",0
866,-1,0,0,0.000000," ","integrate(1/(a+b*cosh(d*x+c)*sinh(d*x+c))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
867,-1,0,0,0.000000," ","integrate(x**3/(a+b*cosh(x)*sinh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
868,-1,0,0,0.000000," ","integrate(x**2/(a+b*cosh(x)*sinh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
869,0,0,0,0.000000," ","integrate(x/(a+b*cosh(x)*sinh(x)),x)","\int \frac{x}{a + b \sinh{\left(x \right)} \cosh{\left(x \right)}}\, dx"," ",0,"Integral(x/(a + b*sinh(x)*cosh(x)), x)","F",0
870,0,0,0,0.000000," ","integrate(1/x/(a+b*cosh(x)*sinh(x)),x)","\int \frac{1}{x \left(a + b \sinh{\left(x \right)} \cosh{\left(x \right)}\right)}\, dx"," ",0,"Integral(1/(x*(a + b*sinh(x)*cosh(x))), x)","F",0
871,0,0,0,0.000000," ","integrate(F**(c*(b*x+a))*sinh(e*x+d)**n,x)","\int F^{c \left(a + b x\right)} \sinh^{n}{\left(d + e x \right)}\, dx"," ",0,"Integral(F**(c*(a + b*x))*sinh(d + e*x)**n, x)","F",0
872,1,124,0,16.576318," ","integrate(exp(2*b*x+2*a)*sinh(b*x+a)**3,x)","\begin{cases} \frac{2 e^{2 a} e^{2 b x} \sinh^{3}{\left(a + b x \right)}}{5 b} + \frac{e^{2 a} e^{2 b x} \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{5 b} - \frac{4 e^{2 a} e^{2 b x} \sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{5 b} + \frac{2 e^{2 a} e^{2 b x} \cosh^{3}{\left(a + b x \right)}}{5 b} & \text{for}\: b \neq 0 \\x e^{2 a} \sinh^{3}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*exp(2*a)*exp(2*b*x)*sinh(a + b*x)**3/(5*b) + exp(2*a)*exp(2*b*x)*sinh(a + b*x)**2*cosh(a + b*x)/(5*b) - 4*exp(2*a)*exp(2*b*x)*sinh(a + b*x)*cosh(a + b*x)**2/(5*b) + 2*exp(2*a)*exp(2*b*x)*cosh(a + b*x)**3/(5*b), Ne(b, 0)), (x*exp(2*a)*sinh(a)**3, True))","A",0
873,1,139,0,4.584714," ","integrate(exp(2*b*x+2*a)*sinh(b*x+a)**2,x)","\begin{cases} \frac{x e^{2 a} e^{2 b x} \sinh^{2}{\left(a + b x \right)}}{4} - \frac{x e^{2 a} e^{2 b x} \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{2} + \frac{x e^{2 a} e^{2 b x} \cosh^{2}{\left(a + b x \right)}}{4} + \frac{e^{2 a} e^{2 b x} \sinh^{2}{\left(a + b x \right)}}{2 b} - \frac{e^{2 a} e^{2 b x} \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{4 b} & \text{for}\: b \neq 0 \\x e^{2 a} \sinh^{2}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*exp(2*a)*exp(2*b*x)*sinh(a + b*x)**2/4 - x*exp(2*a)*exp(2*b*x)*sinh(a + b*x)*cosh(a + b*x)/2 + x*exp(2*a)*exp(2*b*x)*cosh(a + b*x)**2/4 + exp(2*a)*exp(2*b*x)*sinh(a + b*x)**2/(2*b) - exp(2*a)*exp(2*b*x)*sinh(a + b*x)*cosh(a + b*x)/(4*b), Ne(b, 0)), (x*exp(2*a)*sinh(a)**2, True))","A",0
874,1,54,0,1.075213," ","integrate(exp(2*b*x+2*a)*sinh(b*x+a),x)","\begin{cases} \frac{2 e^{2 a} e^{2 b x} \sinh{\left(a + b x \right)}}{3 b} - \frac{e^{2 a} e^{2 b x} \cosh{\left(a + b x \right)}}{3 b} & \text{for}\: b \neq 0 \\x e^{2 a} \sinh{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*exp(2*a)*exp(2*b*x)*sinh(a + b*x)/(3*b) - exp(2*a)*exp(2*b*x)*cosh(a + b*x)/(3*b), Ne(b, 0)), (x*exp(2*a)*sinh(a), True))","A",0
875,0,0,0,0.000000," ","integrate(exp(2*b*x+2*a)*csch(b*x+a),x)","e^{2 a} \int e^{2 b x} \operatorname{csch}{\left(a + b x \right)}\, dx"," ",0,"exp(2*a)*Integral(exp(2*b*x)*csch(a + b*x), x)","F",0
876,0,0,0,0.000000," ","integrate(exp(2*b*x+2*a)*csch(b*x+a)**2,x)","e^{2 a} \int e^{2 b x} \operatorname{csch}^{2}{\left(a + b x \right)}\, dx"," ",0,"exp(2*a)*Integral(exp(2*b*x)*csch(a + b*x)**2, x)","F",0
877,0,0,0,0.000000," ","integrate(exp(2*b*x+2*a)*csch(b*x+a)**3,x)","e^{2 a} \int e^{2 b x} \operatorname{csch}^{3}{\left(a + b x \right)}\, dx"," ",0,"exp(2*a)*Integral(exp(2*b*x)*csch(a + b*x)**3, x)","F",0
878,1,976,0,44.606638," ","integrate(exp(b*x+a)*sinh(d*x+c)**3,x)","\begin{cases} x e^{a} \sinh^{3}{\left(c \right)} & \text{for}\: b = 0 \wedge d = 0 \\\frac{x e^{a} e^{- 3 d x} \sinh^{3}{\left(c + d x \right)}}{8} + \frac{3 x e^{a} e^{- 3 d x} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{8} + \frac{3 x e^{a} e^{- 3 d x} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{8} + \frac{x e^{a} e^{- 3 d x} \cosh^{3}{\left(c + d x \right)}}{8} - \frac{3 e^{a} e^{- 3 d x} \sinh^{3}{\left(c + d x \right)}}{8 d} - \frac{e^{a} e^{- 3 d x} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{4 d} + \frac{e^{a} e^{- 3 d x} \cosh^{3}{\left(c + d x \right)}}{24 d} & \text{for}\: b = - 3 d \\\frac{3 x e^{a} e^{- d x} \sinh^{3}{\left(c + d x \right)}}{8} + \frac{3 x e^{a} e^{- d x} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{8} - \frac{3 x e^{a} e^{- d x} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{8} - \frac{3 x e^{a} e^{- d x} \cosh^{3}{\left(c + d x \right)}}{8} + \frac{e^{a} e^{- d x} \sinh^{3}{\left(c + d x \right)}}{8 d} + \frac{3 e^{a} e^{- d x} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{4 d} - \frac{3 e^{a} e^{- d x} \cosh^{3}{\left(c + d x \right)}}{8 d} & \text{for}\: b = - d \\\frac{3 x e^{a} e^{d x} \sinh^{3}{\left(c + d x \right)}}{8} - \frac{3 x e^{a} e^{d x} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{8} - \frac{3 x e^{a} e^{d x} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{8} + \frac{3 x e^{a} e^{d x} \cosh^{3}{\left(c + d x \right)}}{8} - \frac{e^{a} e^{d x} \sinh^{3}{\left(c + d x \right)}}{8 d} + \frac{3 e^{a} e^{d x} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{4 d} - \frac{3 e^{a} e^{d x} \cosh^{3}{\left(c + d x \right)}}{8 d} & \text{for}\: b = d \\\frac{x e^{a} e^{3 d x} \sinh^{3}{\left(c + d x \right)}}{8} - \frac{3 x e^{a} e^{3 d x} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{8} + \frac{3 x e^{a} e^{3 d x} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{8} - \frac{x e^{a} e^{3 d x} \cosh^{3}{\left(c + d x \right)}}{8} + \frac{3 e^{a} e^{3 d x} \sinh^{3}{\left(c + d x \right)}}{8 d} - \frac{e^{a} e^{3 d x} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{4 d} + \frac{e^{a} e^{3 d x} \cosh^{3}{\left(c + d x \right)}}{24 d} & \text{for}\: b = 3 d \\\frac{b^{3} e^{a} e^{b x} \sinh^{3}{\left(c + d x \right)}}{b^{4} - 10 b^{2} d^{2} + 9 d^{4}} - \frac{3 b^{2} d e^{a} e^{b x} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{b^{4} - 10 b^{2} d^{2} + 9 d^{4}} - \frac{7 b d^{2} e^{a} e^{b x} \sinh^{3}{\left(c + d x \right)}}{b^{4} - 10 b^{2} d^{2} + 9 d^{4}} + \frac{6 b d^{2} e^{a} e^{b x} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{b^{4} - 10 b^{2} d^{2} + 9 d^{4}} + \frac{9 d^{3} e^{a} e^{b x} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{b^{4} - 10 b^{2} d^{2} + 9 d^{4}} - \frac{6 d^{3} e^{a} e^{b x} \cosh^{3}{\left(c + d x \right)}}{b^{4} - 10 b^{2} d^{2} + 9 d^{4}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*exp(a)*sinh(c)**3, Eq(b, 0) & Eq(d, 0)), (x*exp(a)*exp(-3*d*x)*sinh(c + d*x)**3/8 + 3*x*exp(a)*exp(-3*d*x)*sinh(c + d*x)**2*cosh(c + d*x)/8 + 3*x*exp(a)*exp(-3*d*x)*sinh(c + d*x)*cosh(c + d*x)**2/8 + x*exp(a)*exp(-3*d*x)*cosh(c + d*x)**3/8 - 3*exp(a)*exp(-3*d*x)*sinh(c + d*x)**3/(8*d) - exp(a)*exp(-3*d*x)*sinh(c + d*x)**2*cosh(c + d*x)/(4*d) + exp(a)*exp(-3*d*x)*cosh(c + d*x)**3/(24*d), Eq(b, -3*d)), (3*x*exp(a)*exp(-d*x)*sinh(c + d*x)**3/8 + 3*x*exp(a)*exp(-d*x)*sinh(c + d*x)**2*cosh(c + d*x)/8 - 3*x*exp(a)*exp(-d*x)*sinh(c + d*x)*cosh(c + d*x)**2/8 - 3*x*exp(a)*exp(-d*x)*cosh(c + d*x)**3/8 + exp(a)*exp(-d*x)*sinh(c + d*x)**3/(8*d) + 3*exp(a)*exp(-d*x)*sinh(c + d*x)**2*cosh(c + d*x)/(4*d) - 3*exp(a)*exp(-d*x)*cosh(c + d*x)**3/(8*d), Eq(b, -d)), (3*x*exp(a)*exp(d*x)*sinh(c + d*x)**3/8 - 3*x*exp(a)*exp(d*x)*sinh(c + d*x)**2*cosh(c + d*x)/8 - 3*x*exp(a)*exp(d*x)*sinh(c + d*x)*cosh(c + d*x)**2/8 + 3*x*exp(a)*exp(d*x)*cosh(c + d*x)**3/8 - exp(a)*exp(d*x)*sinh(c + d*x)**3/(8*d) + 3*exp(a)*exp(d*x)*sinh(c + d*x)**2*cosh(c + d*x)/(4*d) - 3*exp(a)*exp(d*x)*cosh(c + d*x)**3/(8*d), Eq(b, d)), (x*exp(a)*exp(3*d*x)*sinh(c + d*x)**3/8 - 3*x*exp(a)*exp(3*d*x)*sinh(c + d*x)**2*cosh(c + d*x)/8 + 3*x*exp(a)*exp(3*d*x)*sinh(c + d*x)*cosh(c + d*x)**2/8 - x*exp(a)*exp(3*d*x)*cosh(c + d*x)**3/8 + 3*exp(a)*exp(3*d*x)*sinh(c + d*x)**3/(8*d) - exp(a)*exp(3*d*x)*sinh(c + d*x)**2*cosh(c + d*x)/(4*d) + exp(a)*exp(3*d*x)*cosh(c + d*x)**3/(24*d), Eq(b, 3*d)), (b**3*exp(a)*exp(b*x)*sinh(c + d*x)**3/(b**4 - 10*b**2*d**2 + 9*d**4) - 3*b**2*d*exp(a)*exp(b*x)*sinh(c + d*x)**2*cosh(c + d*x)/(b**4 - 10*b**2*d**2 + 9*d**4) - 7*b*d**2*exp(a)*exp(b*x)*sinh(c + d*x)**3/(b**4 - 10*b**2*d**2 + 9*d**4) + 6*b*d**2*exp(a)*exp(b*x)*sinh(c + d*x)*cosh(c + d*x)**2/(b**4 - 10*b**2*d**2 + 9*d**4) + 9*d**3*exp(a)*exp(b*x)*sinh(c + d*x)**2*cosh(c + d*x)/(b**4 - 10*b**2*d**2 + 9*d**4) - 6*d**3*exp(a)*exp(b*x)*cosh(c + d*x)**3/(b**4 - 10*b**2*d**2 + 9*d**4), True))","A",0
879,1,428,0,9.118338," ","integrate(exp(b*x+a)*sinh(d*x+c)**2,x)","\begin{cases} x e^{a} \sinh^{2}{\left(c \right)} & \text{for}\: b = 0 \wedge d = 0 \\\left(\frac{x \sinh^{2}{\left(c + d x \right)}}{2} - \frac{x \cosh^{2}{\left(c + d x \right)}}{2} + \frac{\sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{2 d}\right) e^{a} & \text{for}\: b = 0 \\\frac{x e^{a} e^{- 2 d x} \sinh^{2}{\left(c + d x \right)}}{4} + \frac{x e^{a} e^{- 2 d x} \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{2} + \frac{x e^{a} e^{- 2 d x} \cosh^{2}{\left(c + d x \right)}}{4} - \frac{e^{a} e^{- 2 d x} \sinh^{2}{\left(c + d x \right)}}{2 d} - \frac{e^{a} e^{- 2 d x} \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{4 d} & \text{for}\: b = - 2 d \\\frac{x e^{a} e^{2 d x} \sinh^{2}{\left(c + d x \right)}}{4} - \frac{x e^{a} e^{2 d x} \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{2} + \frac{x e^{a} e^{2 d x} \cosh^{2}{\left(c + d x \right)}}{4} + \frac{e^{a} e^{2 d x} \sinh^{2}{\left(c + d x \right)}}{2 d} - \frac{e^{a} e^{2 d x} \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{4 d} & \text{for}\: b = 2 d \\\frac{b^{2} e^{a} e^{b x} \sinh^{2}{\left(c + d x \right)}}{b^{3} - 4 b d^{2}} - \frac{2 b d e^{a} e^{b x} \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{b^{3} - 4 b d^{2}} - \frac{2 d^{2} e^{a} e^{b x} \sinh^{2}{\left(c + d x \right)}}{b^{3} - 4 b d^{2}} + \frac{2 d^{2} e^{a} e^{b x} \cosh^{2}{\left(c + d x \right)}}{b^{3} - 4 b d^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*exp(a)*sinh(c)**2, Eq(b, 0) & Eq(d, 0)), ((x*sinh(c + d*x)**2/2 - x*cosh(c + d*x)**2/2 + sinh(c + d*x)*cosh(c + d*x)/(2*d))*exp(a), Eq(b, 0)), (x*exp(a)*exp(-2*d*x)*sinh(c + d*x)**2/4 + x*exp(a)*exp(-2*d*x)*sinh(c + d*x)*cosh(c + d*x)/2 + x*exp(a)*exp(-2*d*x)*cosh(c + d*x)**2/4 - exp(a)*exp(-2*d*x)*sinh(c + d*x)**2/(2*d) - exp(a)*exp(-2*d*x)*sinh(c + d*x)*cosh(c + d*x)/(4*d), Eq(b, -2*d)), (x*exp(a)*exp(2*d*x)*sinh(c + d*x)**2/4 - x*exp(a)*exp(2*d*x)*sinh(c + d*x)*cosh(c + d*x)/2 + x*exp(a)*exp(2*d*x)*cosh(c + d*x)**2/4 + exp(a)*exp(2*d*x)*sinh(c + d*x)**2/(2*d) - exp(a)*exp(2*d*x)*sinh(c + d*x)*cosh(c + d*x)/(4*d), Eq(b, 2*d)), (b**2*exp(a)*exp(b*x)*sinh(c + d*x)**2/(b**3 - 4*b*d**2) - 2*b*d*exp(a)*exp(b*x)*sinh(c + d*x)*cosh(c + d*x)/(b**3 - 4*b*d**2) - 2*d**2*exp(a)*exp(b*x)*sinh(c + d*x)**2/(b**3 - 4*b*d**2) + 2*d**2*exp(a)*exp(b*x)*cosh(c + d*x)**2/(b**3 - 4*b*d**2), True))","A",0
880,1,201,0,2.311375," ","integrate(exp(b*x+a)*sinh(d*x+c),x)","\begin{cases} x e^{a} \sinh{\left(c \right)} & \text{for}\: b = 0 \wedge d = 0 \\\frac{x e^{a} e^{- d x} \sinh{\left(c + d x \right)}}{2} + \frac{x e^{a} e^{- d x} \cosh{\left(c + d x \right)}}{2} + \frac{e^{a} e^{- d x} \sinh{\left(c + d x \right)}}{2 d} + \frac{e^{a} e^{- d x} \cosh{\left(c + d x \right)}}{d} & \text{for}\: b = - d \\\frac{x e^{a} e^{d x} \sinh{\left(c + d x \right)}}{2} - \frac{x e^{a} e^{d x} \cosh{\left(c + d x \right)}}{2} - \frac{e^{a} e^{d x} \sinh{\left(c + d x \right)}}{2 d} + \frac{e^{a} e^{d x} \cosh{\left(c + d x \right)}}{d} & \text{for}\: b = d \\\frac{b e^{a} e^{b x} \sinh{\left(c + d x \right)}}{b^{2} - d^{2}} - \frac{d e^{a} e^{b x} \cosh{\left(c + d x \right)}}{b^{2} - d^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*exp(a)*sinh(c), Eq(b, 0) & Eq(d, 0)), (x*exp(a)*exp(-d*x)*sinh(c + d*x)/2 + x*exp(a)*exp(-d*x)*cosh(c + d*x)/2 + exp(a)*exp(-d*x)*sinh(c + d*x)/(2*d) + exp(a)*exp(-d*x)*cosh(c + d*x)/d, Eq(b, -d)), (x*exp(a)*exp(d*x)*sinh(c + d*x)/2 - x*exp(a)*exp(d*x)*cosh(c + d*x)/2 - exp(a)*exp(d*x)*sinh(c + d*x)/(2*d) + exp(a)*exp(d*x)*cosh(c + d*x)/d, Eq(b, d)), (b*exp(a)*exp(b*x)*sinh(c + d*x)/(b**2 - d**2) - d*exp(a)*exp(b*x)*cosh(c + d*x)/(b**2 - d**2), True))","A",0
881,0,0,0,0.000000," ","integrate(exp(b*x+a)*csch(d*x+c),x)","e^{a} \int e^{b x} \operatorname{csch}{\left(c + d x \right)}\, dx"," ",0,"exp(a)*Integral(exp(b*x)*csch(c + d*x), x)","F",0
882,0,0,0,0.000000," ","integrate(exp(d*x+c)*csch(b*x+a)**2,x)","e^{c} \int e^{d x} \operatorname{csch}^{2}{\left(a + b x \right)}\, dx"," ",0,"exp(c)*Integral(exp(d*x)*csch(a + b*x)**2, x)","F",0
883,0,0,0,0.000000," ","integrate(exp(d*x+c)*csch(b*x+a)**3,x)","e^{c} \int e^{d x} \operatorname{csch}^{3}{\left(a + b x \right)}\, dx"," ",0,"exp(c)*Integral(exp(d*x)*csch(a + b*x)**3, x)","F",0
884,0,0,0,0.000000," ","integrate(F**(c*(b*x+a))*cosh(e*x+d)**n,x)","\int F^{c \left(a + b x\right)} \cosh^{n}{\left(d + e x \right)}\, dx"," ",0,"Integral(F**(c*(a + b*x))*cosh(d + e*x)**n, x)","F",0
885,1,1085,0,45.781632," ","integrate(exp(b*x+a)*cosh(d*x+c)**3,x)","\begin{cases} x e^{a} \cosh^{3}{\left(c \right)} & \text{for}\: b = 0 \wedge d = 0 \\\frac{x e^{a} e^{- 3 d x} \sinh^{3}{\left(c + d x \right)}}{8} + \frac{3 x e^{a} e^{- 3 d x} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{8} + \frac{3 x e^{a} e^{- 3 d x} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{8} + \frac{x e^{a} e^{- 3 d x} \cosh^{3}{\left(c + d x \right)}}{8} + \frac{11 e^{a} e^{- 3 d x} \sinh^{3}{\left(c + d x \right)}}{24 d} + \frac{5 e^{a} e^{- 3 d x} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{4 d} + \frac{e^{a} e^{- 3 d x} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{d} + \frac{e^{a} e^{- 3 d x} \cosh^{3}{\left(c + d x \right)}}{24 d} & \text{for}\: b = - 3 d \\- \frac{3 x e^{a} e^{- d x} \sinh^{3}{\left(c + d x \right)}}{8} - \frac{3 x e^{a} e^{- d x} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{8} + \frac{3 x e^{a} e^{- d x} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{8} + \frac{3 x e^{a} e^{- d x} \cosh^{3}{\left(c + d x \right)}}{8} - \frac{5 e^{a} e^{- d x} \sinh^{3}{\left(c + d x \right)}}{8 d} - \frac{e^{a} e^{- d x} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{4 d} + \frac{e^{a} e^{- d x} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{d} + \frac{3 e^{a} e^{- d x} \cosh^{3}{\left(c + d x \right)}}{8 d} & \text{for}\: b = - d \\\frac{3 x e^{a} e^{d x} \sinh^{3}{\left(c + d x \right)}}{8} - \frac{3 x e^{a} e^{d x} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{8} - \frac{3 x e^{a} e^{d x} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{8} + \frac{3 x e^{a} e^{d x} \cosh^{3}{\left(c + d x \right)}}{8} - \frac{5 e^{a} e^{d x} \sinh^{3}{\left(c + d x \right)}}{8 d} + \frac{e^{a} e^{d x} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{4 d} + \frac{e^{a} e^{d x} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{d} - \frac{3 e^{a} e^{d x} \cosh^{3}{\left(c + d x \right)}}{8 d} & \text{for}\: b = d \\- \frac{x e^{a} e^{3 d x} \sinh^{3}{\left(c + d x \right)}}{8} + \frac{3 x e^{a} e^{3 d x} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{8} - \frac{3 x e^{a} e^{3 d x} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{8} + \frac{x e^{a} e^{3 d x} \cosh^{3}{\left(c + d x \right)}}{8} + \frac{11 e^{a} e^{3 d x} \sinh^{3}{\left(c + d x \right)}}{24 d} - \frac{5 e^{a} e^{3 d x} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{4 d} + \frac{e^{a} e^{3 d x} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{d} - \frac{e^{a} e^{3 d x} \cosh^{3}{\left(c + d x \right)}}{24 d} & \text{for}\: b = 3 d \\\frac{b^{3} e^{a} e^{b x} \cosh^{3}{\left(c + d x \right)}}{b^{4} - 10 b^{2} d^{2} + 9 d^{4}} - \frac{3 b^{2} d e^{a} e^{b x} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{b^{4} - 10 b^{2} d^{2} + 9 d^{4}} + \frac{6 b d^{2} e^{a} e^{b x} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{b^{4} - 10 b^{2} d^{2} + 9 d^{4}} - \frac{7 b d^{2} e^{a} e^{b x} \cosh^{3}{\left(c + d x \right)}}{b^{4} - 10 b^{2} d^{2} + 9 d^{4}} - \frac{6 d^{3} e^{a} e^{b x} \sinh^{3}{\left(c + d x \right)}}{b^{4} - 10 b^{2} d^{2} + 9 d^{4}} + \frac{9 d^{3} e^{a} e^{b x} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{b^{4} - 10 b^{2} d^{2} + 9 d^{4}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*exp(a)*cosh(c)**3, Eq(b, 0) & Eq(d, 0)), (x*exp(a)*exp(-3*d*x)*sinh(c + d*x)**3/8 + 3*x*exp(a)*exp(-3*d*x)*sinh(c + d*x)**2*cosh(c + d*x)/8 + 3*x*exp(a)*exp(-3*d*x)*sinh(c + d*x)*cosh(c + d*x)**2/8 + x*exp(a)*exp(-3*d*x)*cosh(c + d*x)**3/8 + 11*exp(a)*exp(-3*d*x)*sinh(c + d*x)**3/(24*d) + 5*exp(a)*exp(-3*d*x)*sinh(c + d*x)**2*cosh(c + d*x)/(4*d) + exp(a)*exp(-3*d*x)*sinh(c + d*x)*cosh(c + d*x)**2/d + exp(a)*exp(-3*d*x)*cosh(c + d*x)**3/(24*d), Eq(b, -3*d)), (-3*x*exp(a)*exp(-d*x)*sinh(c + d*x)**3/8 - 3*x*exp(a)*exp(-d*x)*sinh(c + d*x)**2*cosh(c + d*x)/8 + 3*x*exp(a)*exp(-d*x)*sinh(c + d*x)*cosh(c + d*x)**2/8 + 3*x*exp(a)*exp(-d*x)*cosh(c + d*x)**3/8 - 5*exp(a)*exp(-d*x)*sinh(c + d*x)**3/(8*d) - exp(a)*exp(-d*x)*sinh(c + d*x)**2*cosh(c + d*x)/(4*d) + exp(a)*exp(-d*x)*sinh(c + d*x)*cosh(c + d*x)**2/d + 3*exp(a)*exp(-d*x)*cosh(c + d*x)**3/(8*d), Eq(b, -d)), (3*x*exp(a)*exp(d*x)*sinh(c + d*x)**3/8 - 3*x*exp(a)*exp(d*x)*sinh(c + d*x)**2*cosh(c + d*x)/8 - 3*x*exp(a)*exp(d*x)*sinh(c + d*x)*cosh(c + d*x)**2/8 + 3*x*exp(a)*exp(d*x)*cosh(c + d*x)**3/8 - 5*exp(a)*exp(d*x)*sinh(c + d*x)**3/(8*d) + exp(a)*exp(d*x)*sinh(c + d*x)**2*cosh(c + d*x)/(4*d) + exp(a)*exp(d*x)*sinh(c + d*x)*cosh(c + d*x)**2/d - 3*exp(a)*exp(d*x)*cosh(c + d*x)**3/(8*d), Eq(b, d)), (-x*exp(a)*exp(3*d*x)*sinh(c + d*x)**3/8 + 3*x*exp(a)*exp(3*d*x)*sinh(c + d*x)**2*cosh(c + d*x)/8 - 3*x*exp(a)*exp(3*d*x)*sinh(c + d*x)*cosh(c + d*x)**2/8 + x*exp(a)*exp(3*d*x)*cosh(c + d*x)**3/8 + 11*exp(a)*exp(3*d*x)*sinh(c + d*x)**3/(24*d) - 5*exp(a)*exp(3*d*x)*sinh(c + d*x)**2*cosh(c + d*x)/(4*d) + exp(a)*exp(3*d*x)*sinh(c + d*x)*cosh(c + d*x)**2/d - exp(a)*exp(3*d*x)*cosh(c + d*x)**3/(24*d), Eq(b, 3*d)), (b**3*exp(a)*exp(b*x)*cosh(c + d*x)**3/(b**4 - 10*b**2*d**2 + 9*d**4) - 3*b**2*d*exp(a)*exp(b*x)*sinh(c + d*x)*cosh(c + d*x)**2/(b**4 - 10*b**2*d**2 + 9*d**4) + 6*b*d**2*exp(a)*exp(b*x)*sinh(c + d*x)**2*cosh(c + d*x)/(b**4 - 10*b**2*d**2 + 9*d**4) - 7*b*d**2*exp(a)*exp(b*x)*cosh(c + d*x)**3/(b**4 - 10*b**2*d**2 + 9*d**4) - 6*d**3*exp(a)*exp(b*x)*sinh(c + d*x)**3/(b**4 - 10*b**2*d**2 + 9*d**4) + 9*d**3*exp(a)*exp(b*x)*sinh(c + d*x)*cosh(c + d*x)**2/(b**4 - 10*b**2*d**2 + 9*d**4), True))","A",0
886,1,432,0,9.018062," ","integrate(exp(b*x+a)*cosh(d*x+c)**2,x)","\begin{cases} x e^{a} \cosh^{2}{\left(c \right)} & \text{for}\: b = 0 \wedge d = 0 \\\left(- \frac{x \sinh^{2}{\left(c + d x \right)}}{2} + \frac{x \cosh^{2}{\left(c + d x \right)}}{2} + \frac{\sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{2 d}\right) e^{a} & \text{for}\: b = 0 \\\frac{x e^{a} e^{- 2 d x} \sinh^{2}{\left(c + d x \right)}}{4} + \frac{x e^{a} e^{- 2 d x} \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{2} + \frac{x e^{a} e^{- 2 d x} \cosh^{2}{\left(c + d x \right)}}{4} + \frac{e^{a} e^{- 2 d x} \sinh^{2}{\left(c + d x \right)}}{2 d} + \frac{3 e^{a} e^{- 2 d x} \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{4 d} & \text{for}\: b = - 2 d \\\frac{x e^{a} e^{2 d x} \sinh^{2}{\left(c + d x \right)}}{4} - \frac{x e^{a} e^{2 d x} \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{2} + \frac{x e^{a} e^{2 d x} \cosh^{2}{\left(c + d x \right)}}{4} - \frac{e^{a} e^{2 d x} \sinh^{2}{\left(c + d x \right)}}{2 d} + \frac{3 e^{a} e^{2 d x} \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{4 d} & \text{for}\: b = 2 d \\\frac{b^{2} e^{a} e^{b x} \cosh^{2}{\left(c + d x \right)}}{b^{3} - 4 b d^{2}} - \frac{2 b d e^{a} e^{b x} \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{b^{3} - 4 b d^{2}} + \frac{2 d^{2} e^{a} e^{b x} \sinh^{2}{\left(c + d x \right)}}{b^{3} - 4 b d^{2}} - \frac{2 d^{2} e^{a} e^{b x} \cosh^{2}{\left(c + d x \right)}}{b^{3} - 4 b d^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*exp(a)*cosh(c)**2, Eq(b, 0) & Eq(d, 0)), ((-x*sinh(c + d*x)**2/2 + x*cosh(c + d*x)**2/2 + sinh(c + d*x)*cosh(c + d*x)/(2*d))*exp(a), Eq(b, 0)), (x*exp(a)*exp(-2*d*x)*sinh(c + d*x)**2/4 + x*exp(a)*exp(-2*d*x)*sinh(c + d*x)*cosh(c + d*x)/2 + x*exp(a)*exp(-2*d*x)*cosh(c + d*x)**2/4 + exp(a)*exp(-2*d*x)*sinh(c + d*x)**2/(2*d) + 3*exp(a)*exp(-2*d*x)*sinh(c + d*x)*cosh(c + d*x)/(4*d), Eq(b, -2*d)), (x*exp(a)*exp(2*d*x)*sinh(c + d*x)**2/4 - x*exp(a)*exp(2*d*x)*sinh(c + d*x)*cosh(c + d*x)/2 + x*exp(a)*exp(2*d*x)*cosh(c + d*x)**2/4 - exp(a)*exp(2*d*x)*sinh(c + d*x)**2/(2*d) + 3*exp(a)*exp(2*d*x)*sinh(c + d*x)*cosh(c + d*x)/(4*d), Eq(b, 2*d)), (b**2*exp(a)*exp(b*x)*cosh(c + d*x)**2/(b**3 - 4*b*d**2) - 2*b*d*exp(a)*exp(b*x)*sinh(c + d*x)*cosh(c + d*x)/(b**3 - 4*b*d**2) + 2*d**2*exp(a)*exp(b*x)*sinh(c + d*x)**2/(b**3 - 4*b*d**2) - 2*d**2*exp(a)*exp(b*x)*cosh(c + d*x)**2/(b**3 - 4*b*d**2), True))","A",0
887,1,167,0,2.095379," ","integrate(exp(b*x+a)*cosh(d*x+c),x)","\begin{cases} x e^{a} \cosh{\left(c \right)} & \text{for}\: b = 0 \wedge d = 0 \\\frac{x e^{a} e^{- d x} \sinh{\left(c + d x \right)}}{2} + \frac{x e^{a} e^{- d x} \cosh{\left(c + d x \right)}}{2} + \frac{e^{a} e^{- d x} \sinh{\left(c + d x \right)}}{2 d} & \text{for}\: b = - d \\- \frac{x e^{a} e^{d x} \sinh{\left(c + d x \right)}}{2} + \frac{x e^{a} e^{d x} \cosh{\left(c + d x \right)}}{2} + \frac{e^{a} e^{d x} \sinh{\left(c + d x \right)}}{2 d} & \text{for}\: b = d \\\frac{b e^{a} e^{b x} \cosh{\left(c + d x \right)}}{b^{2} - d^{2}} - \frac{d e^{a} e^{b x} \sinh{\left(c + d x \right)}}{b^{2} - d^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*exp(a)*cosh(c), Eq(b, 0) & Eq(d, 0)), (x*exp(a)*exp(-d*x)*sinh(c + d*x)/2 + x*exp(a)*exp(-d*x)*cosh(c + d*x)/2 + exp(a)*exp(-d*x)*sinh(c + d*x)/(2*d), Eq(b, -d)), (-x*exp(a)*exp(d*x)*sinh(c + d*x)/2 + x*exp(a)*exp(d*x)*cosh(c + d*x)/2 + exp(a)*exp(d*x)*sinh(c + d*x)/(2*d), Eq(b, d)), (b*exp(a)*exp(b*x)*cosh(c + d*x)/(b**2 - d**2) - d*exp(a)*exp(b*x)*sinh(c + d*x)/(b**2 - d**2), True))","A",0
888,0,0,0,0.000000," ","integrate(exp(b*x+a)*sech(d*x+c),x)","e^{a} \int e^{b x} \operatorname{sech}{\left(c + d x \right)}\, dx"," ",0,"exp(a)*Integral(exp(b*x)*sech(c + d*x), x)","F",0
889,0,0,0,0.000000," ","integrate(exp(b*x+a)*sech(d*x+c)**2,x)","e^{a} \int e^{b x} \operatorname{sech}^{2}{\left(c + d x \right)}\, dx"," ",0,"exp(a)*Integral(exp(b*x)*sech(c + d*x)**2, x)","F",0
890,0,0,0,0.000000," ","integrate(exp(b*x+a)*sech(d*x+c)**3,x)","e^{a} \int e^{b x} \operatorname{sech}^{3}{\left(c + d x \right)}\, dx"," ",0,"exp(a)*Integral(exp(b*x)*sech(c + d*x)**3, x)","F",0
891,0,0,0,0.000000," ","integrate(F**(c*(b*x+a))*sech(e*x+d)**n,x)","\int F^{c \left(a + b x\right)} \operatorname{sech}^{n}{\left(d + e x \right)}\, dx"," ",0,"Integral(F**(c*(a + b*x))*sech(d + e*x)**n, x)","F",0
892,0,0,0,0.000000," ","integrate(F**(c*(b*x+a))*csch(e*x+d)**n,x)","\int F^{c \left(a + b x\right)} \operatorname{csch}^{n}{\left(d + e x \right)}\, dx"," ",0,"Integral(F**(c*(a + b*x))*csch(d + e*x)**n, x)","F",0
893,1,1731,0,119.102352," ","integrate(F**(c*(b*x+a))*(f+I*f*sinh(e*x+d))**2,x)","\begin{cases} - \frac{f^{2} x \sinh^{2}{\left(d + e x \right)}}{2} + \frac{f^{2} x \cosh^{2}{\left(d + e x \right)}}{2} + f^{2} x - \frac{f^{2} \sinh{\left(d + e x \right)} \cosh{\left(d + e x \right)}}{2 e} + \frac{2 i f^{2} \cosh{\left(d + e x \right)}}{e} & \text{for}\: F = 1 \\\tilde{\infty} e^{4} f^{2} \left(e^{- \frac{2 e}{b c}}\right)^{a c} \left(e^{- \frac{2 e}{b c}}\right)^{b c x} \sinh^{2}{\left(d + e x \right)} + \tilde{\infty} e^{4} f^{2} \left(e^{- \frac{2 e}{b c}}\right)^{a c} \left(e^{- \frac{2 e}{b c}}\right)^{b c x} \sinh{\left(d + e x \right)} \cosh{\left(d + e x \right)} + \tilde{\infty} e^{4} f^{2} \left(e^{- \frac{2 e}{b c}}\right)^{a c} \left(e^{- \frac{2 e}{b c}}\right)^{b c x} \cosh^{2}{\left(d + e x \right)} & \text{for}\: F = e^{- \frac{2 e}{b c}} \\\tilde{\infty} e^{4} f^{2} \left(e^{- \frac{e}{b c}}\right)^{a c} \left(e^{- \frac{e}{b c}}\right)^{b c x} \sinh{\left(d + e x \right)} + \tilde{\infty} e^{4} f^{2} \left(e^{- \frac{e}{b c}}\right)^{a c} \left(e^{- \frac{e}{b c}}\right)^{b c x} \cosh{\left(d + e x \right)} & \text{for}\: F = e^{- \frac{e}{b c}} \\\tilde{\infty} e^{4} f^{2} \left(e^{\frac{e}{b c}}\right)^{a c} \left(e^{\frac{e}{b c}}\right)^{b c x} \sinh{\left(d + e x \right)} + \tilde{\infty} e^{4} f^{2} \left(e^{\frac{e}{b c}}\right)^{a c} \left(e^{\frac{e}{b c}}\right)^{b c x} \cosh{\left(d + e x \right)} & \text{for}\: F = e^{\frac{e}{b c}} \\\tilde{\infty} e^{4} f^{2} \left(e^{\frac{2 e}{b c}}\right)^{a c} \left(e^{\frac{2 e}{b c}}\right)^{b c x} \sinh^{2}{\left(d + e x \right)} + \tilde{\infty} e^{4} f^{2} \left(e^{\frac{2 e}{b c}}\right)^{a c} \left(e^{\frac{2 e}{b c}}\right)^{b c x} \sinh{\left(d + e x \right)} \cosh{\left(d + e x \right)} + \tilde{\infty} e^{4} f^{2} \left(e^{\frac{2 e}{b c}}\right)^{a c} \left(e^{\frac{2 e}{b c}}\right)^{b c x} \cosh^{2}{\left(d + e x \right)} & \text{for}\: F = e^{\frac{2 e}{b c}} \\F^{a c} \left(- \frac{f^{2} x \sinh^{2}{\left(d + e x \right)}}{2} + \frac{f^{2} x \cosh^{2}{\left(d + e x \right)}}{2} + f^{2} x - \frac{f^{2} \sinh{\left(d + e x \right)} \cosh{\left(d + e x \right)}}{2 e} + \frac{2 i f^{2} \cosh{\left(d + e x \right)}}{e}\right) & \text{for}\: b = 0 \\- \frac{f^{2} x \sinh^{2}{\left(d + e x \right)}}{2} + \frac{f^{2} x \cosh^{2}{\left(d + e x \right)}}{2} + f^{2} x - \frac{f^{2} \sinh{\left(d + e x \right)} \cosh{\left(d + e x \right)}}{2 e} + \frac{2 i f^{2} \cosh{\left(d + e x \right)}}{e} & \text{for}\: c = 0 \\- \frac{F^{a c} F^{b c x} b^{4} c^{4} f^{2} \log{\left(F \right)}^{4} \sinh^{2}{\left(d + e x \right)}}{b^{5} c^{5} \log{\left(F \right)}^{5} - 5 b^{3} c^{3} e^{2} \log{\left(F \right)}^{3} + 4 b c e^{4} \log{\left(F \right)}} + \frac{2 i F^{a c} F^{b c x} b^{4} c^{4} f^{2} \log{\left(F \right)}^{4} \sinh{\left(d + e x \right)}}{b^{5} c^{5} \log{\left(F \right)}^{5} - 5 b^{3} c^{3} e^{2} \log{\left(F \right)}^{3} + 4 b c e^{4} \log{\left(F \right)}} + \frac{F^{a c} F^{b c x} b^{4} c^{4} f^{2} \log{\left(F \right)}^{4}}{b^{5} c^{5} \log{\left(F \right)}^{5} - 5 b^{3} c^{3} e^{2} \log{\left(F \right)}^{3} + 4 b c e^{4} \log{\left(F \right)}} + \frac{2 F^{a c} F^{b c x} b^{3} c^{3} e f^{2} \log{\left(F \right)}^{3} \sinh{\left(d + e x \right)} \cosh{\left(d + e x \right)}}{b^{5} c^{5} \log{\left(F \right)}^{5} - 5 b^{3} c^{3} e^{2} \log{\left(F \right)}^{3} + 4 b c e^{4} \log{\left(F \right)}} - \frac{2 i F^{a c} F^{b c x} b^{3} c^{3} e f^{2} \log{\left(F \right)}^{3} \cosh{\left(d + e x \right)}}{b^{5} c^{5} \log{\left(F \right)}^{5} - 5 b^{3} c^{3} e^{2} \log{\left(F \right)}^{3} + 4 b c e^{4} \log{\left(F \right)}} + \frac{3 F^{a c} F^{b c x} b^{2} c^{2} e^{2} f^{2} \log{\left(F \right)}^{2} \sinh^{2}{\left(d + e x \right)}}{b^{5} c^{5} \log{\left(F \right)}^{5} - 5 b^{3} c^{3} e^{2} \log{\left(F \right)}^{3} + 4 b c e^{4} \log{\left(F \right)}} - \frac{8 i F^{a c} F^{b c x} b^{2} c^{2} e^{2} f^{2} \log{\left(F \right)}^{2} \sinh{\left(d + e x \right)}}{b^{5} c^{5} \log{\left(F \right)}^{5} - 5 b^{3} c^{3} e^{2} \log{\left(F \right)}^{3} + 4 b c e^{4} \log{\left(F \right)}} - \frac{2 F^{a c} F^{b c x} b^{2} c^{2} e^{2} f^{2} \log{\left(F \right)}^{2} \cosh^{2}{\left(d + e x \right)}}{b^{5} c^{5} \log{\left(F \right)}^{5} - 5 b^{3} c^{3} e^{2} \log{\left(F \right)}^{3} + 4 b c e^{4} \log{\left(F \right)}} - \frac{5 F^{a c} F^{b c x} b^{2} c^{2} e^{2} f^{2} \log{\left(F \right)}^{2}}{b^{5} c^{5} \log{\left(F \right)}^{5} - 5 b^{3} c^{3} e^{2} \log{\left(F \right)}^{3} + 4 b c e^{4} \log{\left(F \right)}} - \frac{2 F^{a c} F^{b c x} b c e^{3} f^{2} \log{\left(F \right)} \sinh{\left(d + e x \right)} \cosh{\left(d + e x \right)}}{b^{5} c^{5} \log{\left(F \right)}^{5} - 5 b^{3} c^{3} e^{2} \log{\left(F \right)}^{3} + 4 b c e^{4} \log{\left(F \right)}} + \frac{8 i F^{a c} F^{b c x} b c e^{3} f^{2} \log{\left(F \right)} \cosh{\left(d + e x \right)}}{b^{5} c^{5} \log{\left(F \right)}^{5} - 5 b^{3} c^{3} e^{2} \log{\left(F \right)}^{3} + 4 b c e^{4} \log{\left(F \right)}} - \frac{2 F^{a c} F^{b c x} e^{4} f^{2} \sinh^{2}{\left(d + e x \right)}}{b^{5} c^{5} \log{\left(F \right)}^{5} - 5 b^{3} c^{3} e^{2} \log{\left(F \right)}^{3} + 4 b c e^{4} \log{\left(F \right)}} + \frac{2 F^{a c} F^{b c x} e^{4} f^{2} \cosh^{2}{\left(d + e x \right)}}{b^{5} c^{5} \log{\left(F \right)}^{5} - 5 b^{3} c^{3} e^{2} \log{\left(F \right)}^{3} + 4 b c e^{4} \log{\left(F \right)}} + \frac{4 F^{a c} F^{b c x} e^{4} f^{2}}{b^{5} c^{5} \log{\left(F \right)}^{5} - 5 b^{3} c^{3} e^{2} \log{\left(F \right)}^{3} + 4 b c e^{4} \log{\left(F \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-f**2*x*sinh(d + e*x)**2/2 + f**2*x*cosh(d + e*x)**2/2 + f**2*x - f**2*sinh(d + e*x)*cosh(d + e*x)/(2*e) + 2*I*f**2*cosh(d + e*x)/e, Eq(F, 1)), (zoo*e**4*f**2*exp(-2*e/(b*c))**(a*c)*exp(-2*e/(b*c))**(b*c*x)*sinh(d + e*x)**2 + zoo*e**4*f**2*exp(-2*e/(b*c))**(a*c)*exp(-2*e/(b*c))**(b*c*x)*sinh(d + e*x)*cosh(d + e*x) + zoo*e**4*f**2*exp(-2*e/(b*c))**(a*c)*exp(-2*e/(b*c))**(b*c*x)*cosh(d + e*x)**2, Eq(F, exp(-2*e/(b*c)))), (zoo*e**4*f**2*exp(-e/(b*c))**(a*c)*exp(-e/(b*c))**(b*c*x)*sinh(d + e*x) + zoo*e**4*f**2*exp(-e/(b*c))**(a*c)*exp(-e/(b*c))**(b*c*x)*cosh(d + e*x), Eq(F, exp(-e/(b*c)))), (zoo*e**4*f**2*exp(e/(b*c))**(a*c)*exp(e/(b*c))**(b*c*x)*sinh(d + e*x) + zoo*e**4*f**2*exp(e/(b*c))**(a*c)*exp(e/(b*c))**(b*c*x)*cosh(d + e*x), Eq(F, exp(e/(b*c)))), (zoo*e**4*f**2*exp(2*e/(b*c))**(a*c)*exp(2*e/(b*c))**(b*c*x)*sinh(d + e*x)**2 + zoo*e**4*f**2*exp(2*e/(b*c))**(a*c)*exp(2*e/(b*c))**(b*c*x)*sinh(d + e*x)*cosh(d + e*x) + zoo*e**4*f**2*exp(2*e/(b*c))**(a*c)*exp(2*e/(b*c))**(b*c*x)*cosh(d + e*x)**2, Eq(F, exp(2*e/(b*c)))), (F**(a*c)*(-f**2*x*sinh(d + e*x)**2/2 + f**2*x*cosh(d + e*x)**2/2 + f**2*x - f**2*sinh(d + e*x)*cosh(d + e*x)/(2*e) + 2*I*f**2*cosh(d + e*x)/e), Eq(b, 0)), (-f**2*x*sinh(d + e*x)**2/2 + f**2*x*cosh(d + e*x)**2/2 + f**2*x - f**2*sinh(d + e*x)*cosh(d + e*x)/(2*e) + 2*I*f**2*cosh(d + e*x)/e, Eq(c, 0)), (-F**(a*c)*F**(b*c*x)*b**4*c**4*f**2*log(F)**4*sinh(d + e*x)**2/(b**5*c**5*log(F)**5 - 5*b**3*c**3*e**2*log(F)**3 + 4*b*c*e**4*log(F)) + 2*I*F**(a*c)*F**(b*c*x)*b**4*c**4*f**2*log(F)**4*sinh(d + e*x)/(b**5*c**5*log(F)**5 - 5*b**3*c**3*e**2*log(F)**3 + 4*b*c*e**4*log(F)) + F**(a*c)*F**(b*c*x)*b**4*c**4*f**2*log(F)**4/(b**5*c**5*log(F)**5 - 5*b**3*c**3*e**2*log(F)**3 + 4*b*c*e**4*log(F)) + 2*F**(a*c)*F**(b*c*x)*b**3*c**3*e*f**2*log(F)**3*sinh(d + e*x)*cosh(d + e*x)/(b**5*c**5*log(F)**5 - 5*b**3*c**3*e**2*log(F)**3 + 4*b*c*e**4*log(F)) - 2*I*F**(a*c)*F**(b*c*x)*b**3*c**3*e*f**2*log(F)**3*cosh(d + e*x)/(b**5*c**5*log(F)**5 - 5*b**3*c**3*e**2*log(F)**3 + 4*b*c*e**4*log(F)) + 3*F**(a*c)*F**(b*c*x)*b**2*c**2*e**2*f**2*log(F)**2*sinh(d + e*x)**2/(b**5*c**5*log(F)**5 - 5*b**3*c**3*e**2*log(F)**3 + 4*b*c*e**4*log(F)) - 8*I*F**(a*c)*F**(b*c*x)*b**2*c**2*e**2*f**2*log(F)**2*sinh(d + e*x)/(b**5*c**5*log(F)**5 - 5*b**3*c**3*e**2*log(F)**3 + 4*b*c*e**4*log(F)) - 2*F**(a*c)*F**(b*c*x)*b**2*c**2*e**2*f**2*log(F)**2*cosh(d + e*x)**2/(b**5*c**5*log(F)**5 - 5*b**3*c**3*e**2*log(F)**3 + 4*b*c*e**4*log(F)) - 5*F**(a*c)*F**(b*c*x)*b**2*c**2*e**2*f**2*log(F)**2/(b**5*c**5*log(F)**5 - 5*b**3*c**3*e**2*log(F)**3 + 4*b*c*e**4*log(F)) - 2*F**(a*c)*F**(b*c*x)*b*c*e**3*f**2*log(F)*sinh(d + e*x)*cosh(d + e*x)/(b**5*c**5*log(F)**5 - 5*b**3*c**3*e**2*log(F)**3 + 4*b*c*e**4*log(F)) + 8*I*F**(a*c)*F**(b*c*x)*b*c*e**3*f**2*log(F)*cosh(d + e*x)/(b**5*c**5*log(F)**5 - 5*b**3*c**3*e**2*log(F)**3 + 4*b*c*e**4*log(F)) - 2*F**(a*c)*F**(b*c*x)*e**4*f**2*sinh(d + e*x)**2/(b**5*c**5*log(F)**5 - 5*b**3*c**3*e**2*log(F)**3 + 4*b*c*e**4*log(F)) + 2*F**(a*c)*F**(b*c*x)*e**4*f**2*cosh(d + e*x)**2/(b**5*c**5*log(F)**5 - 5*b**3*c**3*e**2*log(F)**3 + 4*b*c*e**4*log(F)) + 4*F**(a*c)*F**(b*c*x)*e**4*f**2/(b**5*c**5*log(F)**5 - 5*b**3*c**3*e**2*log(F)**3 + 4*b*c*e**4*log(F)), True))","A",0
894,1,400,0,9.895465," ","integrate(F**(c*(b*x+a))*(f+I*f*sinh(e*x+d)),x)","\begin{cases} f x + \frac{i f \cosh{\left(d + e x \right)}}{e} & \text{for}\: F = 1 \\\tilde{\infty} e^{2} f \left(e^{- \frac{e}{b c}}\right)^{a c} \left(e^{- \frac{e}{b c}}\right)^{b c x} \sinh{\left(d + e x \right)} + \tilde{\infty} e^{2} f \left(e^{- \frac{e}{b c}}\right)^{a c} \left(e^{- \frac{e}{b c}}\right)^{b c x} \cosh{\left(d + e x \right)} & \text{for}\: F = e^{- \frac{e}{b c}} \\\tilde{\infty} e^{2} f \left(e^{\frac{e}{b c}}\right)^{a c} \left(e^{\frac{e}{b c}}\right)^{b c x} \sinh{\left(d + e x \right)} + \tilde{\infty} e^{2} f \left(e^{\frac{e}{b c}}\right)^{a c} \left(e^{\frac{e}{b c}}\right)^{b c x} \cosh{\left(d + e x \right)} & \text{for}\: F = e^{\frac{e}{b c}} \\F^{a c} \left(f x + \frac{i f \cosh{\left(d + e x \right)}}{e}\right) & \text{for}\: b = 0 \\f x + \frac{i f \cosh{\left(d + e x \right)}}{e} & \text{for}\: c = 0 \\- \frac{i F^{a c} F^{b c x} b^{2} c^{2} f \log{\left(F \right)}^{2} \sinh{\left(d + e x \right)}}{- b^{3} c^{3} \log{\left(F \right)}^{3} + b c e^{2} \log{\left(F \right)}} - \frac{F^{a c} F^{b c x} b^{2} c^{2} f \log{\left(F \right)}^{2}}{- b^{3} c^{3} \log{\left(F \right)}^{3} + b c e^{2} \log{\left(F \right)}} + \frac{i F^{a c} F^{b c x} b c e f \log{\left(F \right)} \cosh{\left(d + e x \right)}}{- b^{3} c^{3} \log{\left(F \right)}^{3} + b c e^{2} \log{\left(F \right)}} + \frac{F^{a c} F^{b c x} e^{2} f}{- b^{3} c^{3} \log{\left(F \right)}^{3} + b c e^{2} \log{\left(F \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((f*x + I*f*cosh(d + e*x)/e, Eq(F, 1)), (zoo*e**2*f*exp(-e/(b*c))**(a*c)*exp(-e/(b*c))**(b*c*x)*sinh(d + e*x) + zoo*e**2*f*exp(-e/(b*c))**(a*c)*exp(-e/(b*c))**(b*c*x)*cosh(d + e*x), Eq(F, exp(-e/(b*c)))), (zoo*e**2*f*exp(e/(b*c))**(a*c)*exp(e/(b*c))**(b*c*x)*sinh(d + e*x) + zoo*e**2*f*exp(e/(b*c))**(a*c)*exp(e/(b*c))**(b*c*x)*cosh(d + e*x), Eq(F, exp(e/(b*c)))), (F**(a*c)*(f*x + I*f*cosh(d + e*x)/e), Eq(b, 0)), (f*x + I*f*cosh(d + e*x)/e, Eq(c, 0)), (-I*F**(a*c)*F**(b*c*x)*b**2*c**2*f*log(F)**2*sinh(d + e*x)/(-b**3*c**3*log(F)**3 + b*c*e**2*log(F)) - F**(a*c)*F**(b*c*x)*b**2*c**2*f*log(F)**2/(-b**3*c**3*log(F)**3 + b*c*e**2*log(F)) + I*F**(a*c)*F**(b*c*x)*b*c*e*f*log(F)*cosh(d + e*x)/(-b**3*c**3*log(F)**3 + b*c*e**2*log(F)) + F**(a*c)*F**(b*c*x)*e**2*f/(-b**3*c**3*log(F)**3 + b*c*e**2*log(F)), True))","A",0
895,0,0,0,0.000000," ","integrate(F**(c*(b*x+a))/(f+I*f*sinh(e*x+d)),x)","- \frac{i \int \frac{F^{a c} F^{b c x}}{\sinh{\left(d + e x \right)} - i}\, dx}{f}"," ",0,"-I*Integral(F**(a*c)*F**(b*c*x)/(sinh(d + e*x) - I), x)/f","F",0
896,0,0,0,0.000000," ","integrate(F**(c*(b*x+a))/(f+I*f*sinh(e*x+d))**2,x)","- \frac{\int \frac{F^{a c} F^{b c x}}{\sinh^{2}{\left(d + e x \right)} - 2 i \sinh{\left(d + e x \right)} - 1}\, dx}{f^{2}}"," ",0,"-Integral(F**(a*c)*F**(b*c*x)/(sinh(d + e*x)**2 - 2*I*sinh(d + e*x) - 1), x)/f**2","F",0
897,1,1719,0,61.569684," ","integrate(F**(c*(b*x+a))*(f+f*cosh(e*x+d))**2,x)","\begin{cases} - \frac{f^{2} x \sinh^{2}{\left(d + e x \right)}}{2} + \frac{f^{2} x \cosh^{2}{\left(d + e x \right)}}{2} + f^{2} x + \frac{f^{2} \sinh{\left(d + e x \right)} \cosh{\left(d + e x \right)}}{2 e} + \frac{2 f^{2} \sinh{\left(d + e x \right)}}{e} & \text{for}\: F = 1 \\\tilde{\infty} e^{4} f^{2} \left(e^{- \frac{2 e}{b c}}\right)^{a c} \left(e^{- \frac{2 e}{b c}}\right)^{b c x} \sinh^{2}{\left(d + e x \right)} + \tilde{\infty} e^{4} f^{2} \left(e^{- \frac{2 e}{b c}}\right)^{a c} \left(e^{- \frac{2 e}{b c}}\right)^{b c x} \sinh{\left(d + e x \right)} \cosh{\left(d + e x \right)} + \tilde{\infty} e^{4} f^{2} \left(e^{- \frac{2 e}{b c}}\right)^{a c} \left(e^{- \frac{2 e}{b c}}\right)^{b c x} \cosh^{2}{\left(d + e x \right)} & \text{for}\: F = e^{- \frac{2 e}{b c}} \\\tilde{\infty} e^{4} f^{2} \left(e^{- \frac{e}{b c}}\right)^{a c} \left(e^{- \frac{e}{b c}}\right)^{b c x} \sinh{\left(d + e x \right)} + \tilde{\infty} e^{4} f^{2} \left(e^{- \frac{e}{b c}}\right)^{a c} \left(e^{- \frac{e}{b c}}\right)^{b c x} \cosh{\left(d + e x \right)} & \text{for}\: F = e^{- \frac{e}{b c}} \\\tilde{\infty} e^{4} f^{2} \left(e^{\frac{e}{b c}}\right)^{a c} \left(e^{\frac{e}{b c}}\right)^{b c x} \sinh{\left(d + e x \right)} + \tilde{\infty} e^{4} f^{2} \left(e^{\frac{e}{b c}}\right)^{a c} \left(e^{\frac{e}{b c}}\right)^{b c x} \cosh{\left(d + e x \right)} & \text{for}\: F = e^{\frac{e}{b c}} \\\tilde{\infty} e^{4} f^{2} \left(e^{\frac{2 e}{b c}}\right)^{a c} \left(e^{\frac{2 e}{b c}}\right)^{b c x} \sinh^{2}{\left(d + e x \right)} + \tilde{\infty} e^{4} f^{2} \left(e^{\frac{2 e}{b c}}\right)^{a c} \left(e^{\frac{2 e}{b c}}\right)^{b c x} \sinh{\left(d + e x \right)} \cosh{\left(d + e x \right)} + \tilde{\infty} e^{4} f^{2} \left(e^{\frac{2 e}{b c}}\right)^{a c} \left(e^{\frac{2 e}{b c}}\right)^{b c x} \cosh^{2}{\left(d + e x \right)} & \text{for}\: F = e^{\frac{2 e}{b c}} \\F^{a c} \left(- \frac{f^{2} x \sinh^{2}{\left(d + e x \right)}}{2} + \frac{f^{2} x \cosh^{2}{\left(d + e x \right)}}{2} + f^{2} x + \frac{f^{2} \sinh{\left(d + e x \right)} \cosh{\left(d + e x \right)}}{2 e} + \frac{2 f^{2} \sinh{\left(d + e x \right)}}{e}\right) & \text{for}\: b = 0 \\- \frac{f^{2} x \sinh^{2}{\left(d + e x \right)}}{2} + \frac{f^{2} x \cosh^{2}{\left(d + e x \right)}}{2} + f^{2} x + \frac{f^{2} \sinh{\left(d + e x \right)} \cosh{\left(d + e x \right)}}{2 e} + \frac{2 f^{2} \sinh{\left(d + e x \right)}}{e} & \text{for}\: c = 0 \\\frac{F^{a c} F^{b c x} b^{4} c^{4} f^{2} \log{\left(F \right)}^{4} \cosh^{2}{\left(d + e x \right)}}{b^{5} c^{5} \log{\left(F \right)}^{5} - 5 b^{3} c^{3} e^{2} \log{\left(F \right)}^{3} + 4 b c e^{4} \log{\left(F \right)}} + \frac{2 F^{a c} F^{b c x} b^{4} c^{4} f^{2} \log{\left(F \right)}^{4} \cosh{\left(d + e x \right)}}{b^{5} c^{5} \log{\left(F \right)}^{5} - 5 b^{3} c^{3} e^{2} \log{\left(F \right)}^{3} + 4 b c e^{4} \log{\left(F \right)}} + \frac{F^{a c} F^{b c x} b^{4} c^{4} f^{2} \log{\left(F \right)}^{4}}{b^{5} c^{5} \log{\left(F \right)}^{5} - 5 b^{3} c^{3} e^{2} \log{\left(F \right)}^{3} + 4 b c e^{4} \log{\left(F \right)}} - \frac{2 F^{a c} F^{b c x} b^{3} c^{3} e f^{2} \log{\left(F \right)}^{3} \sinh{\left(d + e x \right)} \cosh{\left(d + e x \right)}}{b^{5} c^{5} \log{\left(F \right)}^{5} - 5 b^{3} c^{3} e^{2} \log{\left(F \right)}^{3} + 4 b c e^{4} \log{\left(F \right)}} - \frac{2 F^{a c} F^{b c x} b^{3} c^{3} e f^{2} \log{\left(F \right)}^{3} \sinh{\left(d + e x \right)}}{b^{5} c^{5} \log{\left(F \right)}^{5} - 5 b^{3} c^{3} e^{2} \log{\left(F \right)}^{3} + 4 b c e^{4} \log{\left(F \right)}} + \frac{2 F^{a c} F^{b c x} b^{2} c^{2} e^{2} f^{2} \log{\left(F \right)}^{2} \sinh^{2}{\left(d + e x \right)}}{b^{5} c^{5} \log{\left(F \right)}^{5} - 5 b^{3} c^{3} e^{2} \log{\left(F \right)}^{3} + 4 b c e^{4} \log{\left(F \right)}} - \frac{3 F^{a c} F^{b c x} b^{2} c^{2} e^{2} f^{2} \log{\left(F \right)}^{2} \cosh^{2}{\left(d + e x \right)}}{b^{5} c^{5} \log{\left(F \right)}^{5} - 5 b^{3} c^{3} e^{2} \log{\left(F \right)}^{3} + 4 b c e^{4} \log{\left(F \right)}} - \frac{8 F^{a c} F^{b c x} b^{2} c^{2} e^{2} f^{2} \log{\left(F \right)}^{2} \cosh{\left(d + e x \right)}}{b^{5} c^{5} \log{\left(F \right)}^{5} - 5 b^{3} c^{3} e^{2} \log{\left(F \right)}^{3} + 4 b c e^{4} \log{\left(F \right)}} - \frac{5 F^{a c} F^{b c x} b^{2} c^{2} e^{2} f^{2} \log{\left(F \right)}^{2}}{b^{5} c^{5} \log{\left(F \right)}^{5} - 5 b^{3} c^{3} e^{2} \log{\left(F \right)}^{3} + 4 b c e^{4} \log{\left(F \right)}} + \frac{2 F^{a c} F^{b c x} b c e^{3} f^{2} \log{\left(F \right)} \sinh{\left(d + e x \right)} \cosh{\left(d + e x \right)}}{b^{5} c^{5} \log{\left(F \right)}^{5} - 5 b^{3} c^{3} e^{2} \log{\left(F \right)}^{3} + 4 b c e^{4} \log{\left(F \right)}} + \frac{8 F^{a c} F^{b c x} b c e^{3} f^{2} \log{\left(F \right)} \sinh{\left(d + e x \right)}}{b^{5} c^{5} \log{\left(F \right)}^{5} - 5 b^{3} c^{3} e^{2} \log{\left(F \right)}^{3} + 4 b c e^{4} \log{\left(F \right)}} - \frac{2 F^{a c} F^{b c x} e^{4} f^{2} \sinh^{2}{\left(d + e x \right)}}{b^{5} c^{5} \log{\left(F \right)}^{5} - 5 b^{3} c^{3} e^{2} \log{\left(F \right)}^{3} + 4 b c e^{4} \log{\left(F \right)}} + \frac{2 F^{a c} F^{b c x} e^{4} f^{2} \cosh^{2}{\left(d + e x \right)}}{b^{5} c^{5} \log{\left(F \right)}^{5} - 5 b^{3} c^{3} e^{2} \log{\left(F \right)}^{3} + 4 b c e^{4} \log{\left(F \right)}} + \frac{4 F^{a c} F^{b c x} e^{4} f^{2}}{b^{5} c^{5} \log{\left(F \right)}^{5} - 5 b^{3} c^{3} e^{2} \log{\left(F \right)}^{3} + 4 b c e^{4} \log{\left(F \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-f**2*x*sinh(d + e*x)**2/2 + f**2*x*cosh(d + e*x)**2/2 + f**2*x + f**2*sinh(d + e*x)*cosh(d + e*x)/(2*e) + 2*f**2*sinh(d + e*x)/e, Eq(F, 1)), (zoo*e**4*f**2*exp(-2*e/(b*c))**(a*c)*exp(-2*e/(b*c))**(b*c*x)*sinh(d + e*x)**2 + zoo*e**4*f**2*exp(-2*e/(b*c))**(a*c)*exp(-2*e/(b*c))**(b*c*x)*sinh(d + e*x)*cosh(d + e*x) + zoo*e**4*f**2*exp(-2*e/(b*c))**(a*c)*exp(-2*e/(b*c))**(b*c*x)*cosh(d + e*x)**2, Eq(F, exp(-2*e/(b*c)))), (zoo*e**4*f**2*exp(-e/(b*c))**(a*c)*exp(-e/(b*c))**(b*c*x)*sinh(d + e*x) + zoo*e**4*f**2*exp(-e/(b*c))**(a*c)*exp(-e/(b*c))**(b*c*x)*cosh(d + e*x), Eq(F, exp(-e/(b*c)))), (zoo*e**4*f**2*exp(e/(b*c))**(a*c)*exp(e/(b*c))**(b*c*x)*sinh(d + e*x) + zoo*e**4*f**2*exp(e/(b*c))**(a*c)*exp(e/(b*c))**(b*c*x)*cosh(d + e*x), Eq(F, exp(e/(b*c)))), (zoo*e**4*f**2*exp(2*e/(b*c))**(a*c)*exp(2*e/(b*c))**(b*c*x)*sinh(d + e*x)**2 + zoo*e**4*f**2*exp(2*e/(b*c))**(a*c)*exp(2*e/(b*c))**(b*c*x)*sinh(d + e*x)*cosh(d + e*x) + zoo*e**4*f**2*exp(2*e/(b*c))**(a*c)*exp(2*e/(b*c))**(b*c*x)*cosh(d + e*x)**2, Eq(F, exp(2*e/(b*c)))), (F**(a*c)*(-f**2*x*sinh(d + e*x)**2/2 + f**2*x*cosh(d + e*x)**2/2 + f**2*x + f**2*sinh(d + e*x)*cosh(d + e*x)/(2*e) + 2*f**2*sinh(d + e*x)/e), Eq(b, 0)), (-f**2*x*sinh(d + e*x)**2/2 + f**2*x*cosh(d + e*x)**2/2 + f**2*x + f**2*sinh(d + e*x)*cosh(d + e*x)/(2*e) + 2*f**2*sinh(d + e*x)/e, Eq(c, 0)), (F**(a*c)*F**(b*c*x)*b**4*c**4*f**2*log(F)**4*cosh(d + e*x)**2/(b**5*c**5*log(F)**5 - 5*b**3*c**3*e**2*log(F)**3 + 4*b*c*e**4*log(F)) + 2*F**(a*c)*F**(b*c*x)*b**4*c**4*f**2*log(F)**4*cosh(d + e*x)/(b**5*c**5*log(F)**5 - 5*b**3*c**3*e**2*log(F)**3 + 4*b*c*e**4*log(F)) + F**(a*c)*F**(b*c*x)*b**4*c**4*f**2*log(F)**4/(b**5*c**5*log(F)**5 - 5*b**3*c**3*e**2*log(F)**3 + 4*b*c*e**4*log(F)) - 2*F**(a*c)*F**(b*c*x)*b**3*c**3*e*f**2*log(F)**3*sinh(d + e*x)*cosh(d + e*x)/(b**5*c**5*log(F)**5 - 5*b**3*c**3*e**2*log(F)**3 + 4*b*c*e**4*log(F)) - 2*F**(a*c)*F**(b*c*x)*b**3*c**3*e*f**2*log(F)**3*sinh(d + e*x)/(b**5*c**5*log(F)**5 - 5*b**3*c**3*e**2*log(F)**3 + 4*b*c*e**4*log(F)) + 2*F**(a*c)*F**(b*c*x)*b**2*c**2*e**2*f**2*log(F)**2*sinh(d + e*x)**2/(b**5*c**5*log(F)**5 - 5*b**3*c**3*e**2*log(F)**3 + 4*b*c*e**4*log(F)) - 3*F**(a*c)*F**(b*c*x)*b**2*c**2*e**2*f**2*log(F)**2*cosh(d + e*x)**2/(b**5*c**5*log(F)**5 - 5*b**3*c**3*e**2*log(F)**3 + 4*b*c*e**4*log(F)) - 8*F**(a*c)*F**(b*c*x)*b**2*c**2*e**2*f**2*log(F)**2*cosh(d + e*x)/(b**5*c**5*log(F)**5 - 5*b**3*c**3*e**2*log(F)**3 + 4*b*c*e**4*log(F)) - 5*F**(a*c)*F**(b*c*x)*b**2*c**2*e**2*f**2*log(F)**2/(b**5*c**5*log(F)**5 - 5*b**3*c**3*e**2*log(F)**3 + 4*b*c*e**4*log(F)) + 2*F**(a*c)*F**(b*c*x)*b*c*e**3*f**2*log(F)*sinh(d + e*x)*cosh(d + e*x)/(b**5*c**5*log(F)**5 - 5*b**3*c**3*e**2*log(F)**3 + 4*b*c*e**4*log(F)) + 8*F**(a*c)*F**(b*c*x)*b*c*e**3*f**2*log(F)*sinh(d + e*x)/(b**5*c**5*log(F)**5 - 5*b**3*c**3*e**2*log(F)**3 + 4*b*c*e**4*log(F)) - 2*F**(a*c)*F**(b*c*x)*e**4*f**2*sinh(d + e*x)**2/(b**5*c**5*log(F)**5 - 5*b**3*c**3*e**2*log(F)**3 + 4*b*c*e**4*log(F)) + 2*F**(a*c)*F**(b*c*x)*e**4*f**2*cosh(d + e*x)**2/(b**5*c**5*log(F)**5 - 5*b**3*c**3*e**2*log(F)**3 + 4*b*c*e**4*log(F)) + 4*F**(a*c)*F**(b*c*x)*e**4*f**2/(b**5*c**5*log(F)**5 - 5*b**3*c**3*e**2*log(F)**3 + 4*b*c*e**4*log(F)), True))","A",0
898,1,391,0,8.458444," ","integrate(F**(c*(b*x+a))*(f+f*cosh(e*x+d)),x)","\begin{cases} f x + \frac{f \sinh{\left(d + e x \right)}}{e} & \text{for}\: F = 1 \\\tilde{\infty} e^{2} f \left(e^{- \frac{e}{b c}}\right)^{a c} \left(e^{- \frac{e}{b c}}\right)^{b c x} \sinh{\left(d + e x \right)} + \tilde{\infty} e^{2} f \left(e^{- \frac{e}{b c}}\right)^{a c} \left(e^{- \frac{e}{b c}}\right)^{b c x} \cosh{\left(d + e x \right)} & \text{for}\: F = e^{- \frac{e}{b c}} \\\tilde{\infty} e^{2} f \left(e^{\frac{e}{b c}}\right)^{a c} \left(e^{\frac{e}{b c}}\right)^{b c x} \sinh{\left(d + e x \right)} + \tilde{\infty} e^{2} f \left(e^{\frac{e}{b c}}\right)^{a c} \left(e^{\frac{e}{b c}}\right)^{b c x} \cosh{\left(d + e x \right)} & \text{for}\: F = e^{\frac{e}{b c}} \\F^{a c} \left(f x + \frac{f \sinh{\left(d + e x \right)}}{e}\right) & \text{for}\: b = 0 \\f x + \frac{f \sinh{\left(d + e x \right)}}{e} & \text{for}\: c = 0 \\\frac{F^{a c} F^{b c x} b^{2} c^{2} f \log{\left(F \right)}^{2} \cosh{\left(d + e x \right)}}{b^{3} c^{3} \log{\left(F \right)}^{3} - b c e^{2} \log{\left(F \right)}} + \frac{F^{a c} F^{b c x} b^{2} c^{2} f \log{\left(F \right)}^{2}}{b^{3} c^{3} \log{\left(F \right)}^{3} - b c e^{2} \log{\left(F \right)}} - \frac{F^{a c} F^{b c x} b c e f \log{\left(F \right)} \sinh{\left(d + e x \right)}}{b^{3} c^{3} \log{\left(F \right)}^{3} - b c e^{2} \log{\left(F \right)}} - \frac{F^{a c} F^{b c x} e^{2} f}{b^{3} c^{3} \log{\left(F \right)}^{3} - b c e^{2} \log{\left(F \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((f*x + f*sinh(d + e*x)/e, Eq(F, 1)), (zoo*e**2*f*exp(-e/(b*c))**(a*c)*exp(-e/(b*c))**(b*c*x)*sinh(d + e*x) + zoo*e**2*f*exp(-e/(b*c))**(a*c)*exp(-e/(b*c))**(b*c*x)*cosh(d + e*x), Eq(F, exp(-e/(b*c)))), (zoo*e**2*f*exp(e/(b*c))**(a*c)*exp(e/(b*c))**(b*c*x)*sinh(d + e*x) + zoo*e**2*f*exp(e/(b*c))**(a*c)*exp(e/(b*c))**(b*c*x)*cosh(d + e*x), Eq(F, exp(e/(b*c)))), (F**(a*c)*(f*x + f*sinh(d + e*x)/e), Eq(b, 0)), (f*x + f*sinh(d + e*x)/e, Eq(c, 0)), (F**(a*c)*F**(b*c*x)*b**2*c**2*f*log(F)**2*cosh(d + e*x)/(b**3*c**3*log(F)**3 - b*c*e**2*log(F)) + F**(a*c)*F**(b*c*x)*b**2*c**2*f*log(F)**2/(b**3*c**3*log(F)**3 - b*c*e**2*log(F)) - F**(a*c)*F**(b*c*x)*b*c*e*f*log(F)*sinh(d + e*x)/(b**3*c**3*log(F)**3 - b*c*e**2*log(F)) - F**(a*c)*F**(b*c*x)*e**2*f/(b**3*c**3*log(F)**3 - b*c*e**2*log(F)), True))","A",0
899,0,0,0,0.000000," ","integrate(F**(c*(b*x+a))/(f+f*cosh(e*x+d)),x)","\frac{\int \frac{F^{a c} F^{b c x}}{\cosh{\left(d + e x \right)} + 1}\, dx}{f}"," ",0,"Integral(F**(a*c)*F**(b*c*x)/(cosh(d + e*x) + 1), x)/f","F",0
900,0,0,0,0.000000," ","integrate(F**(c*(b*x+a))/(f+f*cosh(e*x+d))**2,x)","\frac{\int \frac{F^{a c} F^{b c x}}{\cosh^{2}{\left(d + e x \right)} + 2 \cosh{\left(d + e x \right)} + 1}\, dx}{f^{2}}"," ",0,"Integral(F**(a*c)*F**(b*c*x)/(cosh(d + e*x)**2 + 2*cosh(d + e*x) + 1), x)/f**2","F",0
901,1,139,0,60.111723," ","integrate(exp(b*x+a)*cosh(b*x+a)*sinh(b*x+a)**3,x)","\begin{cases} \frac{e^{a} e^{b x} \sinh^{4}{\left(a + b x \right)}}{5 b} - \frac{e^{a} e^{b x} \sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{5 b} + \frac{e^{a} e^{b x} \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{5 b} + \frac{2 e^{a} e^{b x} \sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{15 b} - \frac{2 e^{a} e^{b x} \cosh^{4}{\left(a + b x \right)}}{15 b} & \text{for}\: b \neq 0 \\x e^{a} \sinh^{3}{\left(a \right)} \cosh{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((exp(a)*exp(b*x)*sinh(a + b*x)**4/(5*b) - exp(a)*exp(b*x)*sinh(a + b*x)**3*cosh(a + b*x)/(5*b) + exp(a)*exp(b*x)*sinh(a + b*x)**2*cosh(a + b*x)**2/(5*b) + 2*exp(a)*exp(b*x)*sinh(a + b*x)*cosh(a + b*x)**3/(15*b) - 2*exp(a)*exp(b*x)*cosh(a + b*x)**4/(15*b), Ne(b, 0)), (x*exp(a)*sinh(a)**3*cosh(a), True))","A",0
902,1,177,0,18.392630," ","integrate(exp(b*x+a)*cosh(b*x+a)*sinh(b*x+a)**2,x)","\begin{cases} - \frac{x e^{a} e^{b x} \sinh^{3}{\left(a + b x \right)}}{8} + \frac{x e^{a} e^{b x} \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{8} + \frac{x e^{a} e^{b x} \sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{8} - \frac{x e^{a} e^{b x} \cosh^{3}{\left(a + b x \right)}}{8} + \frac{3 e^{a} e^{b x} \sinh^{3}{\left(a + b x \right)}}{8 b} - \frac{e^{a} e^{b x} \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{4 b} + \frac{e^{a} e^{b x} \cosh^{3}{\left(a + b x \right)}}{8 b} & \text{for}\: b \neq 0 \\x e^{a} \sinh^{2}{\left(a \right)} \cosh{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-x*exp(a)*exp(b*x)*sinh(a + b*x)**3/8 + x*exp(a)*exp(b*x)*sinh(a + b*x)**2*cosh(a + b*x)/8 + x*exp(a)*exp(b*x)*sinh(a + b*x)*cosh(a + b*x)**2/8 - x*exp(a)*exp(b*x)*cosh(a + b*x)**3/8 + 3*exp(a)*exp(b*x)*sinh(a + b*x)**3/(8*b) - exp(a)*exp(b*x)*sinh(a + b*x)**2*cosh(a + b*x)/(4*b) + exp(a)*exp(b*x)*cosh(a + b*x)**3/(8*b), Ne(b, 0)), (x*exp(a)*sinh(a)**2*cosh(a), True))","A",0
903,1,76,0,4.986764," ","integrate(exp(b*x+a)*cosh(b*x+a)*sinh(b*x+a),x)","\begin{cases} \frac{e^{a} e^{b x} \sinh^{2}{\left(a + b x \right)}}{3 b} - \frac{e^{a} e^{b x} \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{3 b} + \frac{e^{a} e^{b x} \cosh^{2}{\left(a + b x \right)}}{3 b} & \text{for}\: b \neq 0 \\x e^{a} \sinh{\left(a \right)} \cosh{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((exp(a)*exp(b*x)*sinh(a + b*x)**2/(3*b) - exp(a)*exp(b*x)*sinh(a + b*x)*cosh(a + b*x)/(3*b) + exp(a)*exp(b*x)*cosh(a + b*x)**2/(3*b), Ne(b, 0)), (x*exp(a)*sinh(a)*cosh(a), True))","A",0
904,0,0,0,0.000000," ","integrate(exp(b*x+a)*cosh(b*x+a)*csch(b*x+a),x)","e^{a} \int e^{b x} \cosh{\left(a + b x \right)} \operatorname{csch}{\left(a + b x \right)}\, dx"," ",0,"exp(a)*Integral(exp(b*x)*cosh(a + b*x)*csch(a + b*x), x)","F",0
905,-1,0,0,0.000000," ","integrate(exp(b*x+a)*cosh(b*x+a)*csch(b*x+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
906,-1,0,0,0.000000," ","integrate(exp(b*x+a)*cosh(b*x+a)*csch(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
907,1,294,0,176.089307," ","integrate(exp(b*x+a)*cosh(b*x+a)**2*sinh(b*x+a)**3,x)","\begin{cases} - \frac{x e^{a} e^{b x} \sinh^{5}{\left(a + b x \right)}}{16} + \frac{x e^{a} e^{b x} \sinh^{4}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{16} + \frac{x e^{a} e^{b x} \sinh^{3}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{8} - \frac{x e^{a} e^{b x} \sinh^{2}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{8} - \frac{x e^{a} e^{b x} \sinh{\left(a + b x \right)} \cosh^{4}{\left(a + b x \right)}}{16} + \frac{x e^{a} e^{b x} \cosh^{5}{\left(a + b x \right)}}{16} - \frac{e^{a} e^{b x} \sinh^{5}{\left(a + b x \right)}}{32 b} + \frac{3 e^{a} e^{b x} \sinh^{4}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{32 b} + \frac{e^{a} e^{b x} \sinh^{2}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{6 b} - \frac{e^{a} e^{b x} \sinh{\left(a + b x \right)} \cosh^{4}{\left(a + b x \right)}}{96 b} - \frac{5 e^{a} e^{b x} \cosh^{5}{\left(a + b x \right)}}{96 b} & \text{for}\: b \neq 0 \\x e^{a} \sinh^{3}{\left(a \right)} \cosh^{2}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-x*exp(a)*exp(b*x)*sinh(a + b*x)**5/16 + x*exp(a)*exp(b*x)*sinh(a + b*x)**4*cosh(a + b*x)/16 + x*exp(a)*exp(b*x)*sinh(a + b*x)**3*cosh(a + b*x)**2/8 - x*exp(a)*exp(b*x)*sinh(a + b*x)**2*cosh(a + b*x)**3/8 - x*exp(a)*exp(b*x)*sinh(a + b*x)*cosh(a + b*x)**4/16 + x*exp(a)*exp(b*x)*cosh(a + b*x)**5/16 - exp(a)*exp(b*x)*sinh(a + b*x)**5/(32*b) + 3*exp(a)*exp(b*x)*sinh(a + b*x)**4*cosh(a + b*x)/(32*b) + exp(a)*exp(b*x)*sinh(a + b*x)**2*cosh(a + b*x)**3/(6*b) - exp(a)*exp(b*x)*sinh(a + b*x)*cosh(a + b*x)**4/(96*b) - 5*exp(a)*exp(b*x)*cosh(a + b*x)**5/(96*b), Ne(b, 0)), (x*exp(a)*sinh(a)**3*cosh(a)**2, True))","A",0
908,1,144,0,62.531709," ","integrate(exp(b*x+a)*cosh(b*x+a)**2*sinh(b*x+a)**2,x)","\begin{cases} - \frac{2 e^{a} e^{b x} \sinh^{4}{\left(a + b x \right)}}{15 b} + \frac{2 e^{a} e^{b x} \sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{15 b} + \frac{e^{a} e^{b x} \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{5 b} + \frac{2 e^{a} e^{b x} \sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{15 b} - \frac{2 e^{a} e^{b x} \cosh^{4}{\left(a + b x \right)}}{15 b} & \text{for}\: b \neq 0 \\x e^{a} \sinh^{2}{\left(a \right)} \cosh^{2}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-2*exp(a)*exp(b*x)*sinh(a + b*x)**4/(15*b) + 2*exp(a)*exp(b*x)*sinh(a + b*x)**3*cosh(a + b*x)/(15*b) + exp(a)*exp(b*x)*sinh(a + b*x)**2*cosh(a + b*x)**2/(5*b) + 2*exp(a)*exp(b*x)*sinh(a + b*x)*cosh(a + b*x)**3/(15*b) - 2*exp(a)*exp(b*x)*cosh(a + b*x)**4/(15*b), Ne(b, 0)), (x*exp(a)*sinh(a)**2*cosh(a)**2, True))","A",0
909,1,175,0,18.658647," ","integrate(exp(b*x+a)*cosh(b*x+a)**2*sinh(b*x+a),x)","\begin{cases} - \frac{x e^{a} e^{b x} \sinh^{3}{\left(a + b x \right)}}{8} + \frac{x e^{a} e^{b x} \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{8} + \frac{x e^{a} e^{b x} \sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{8} - \frac{x e^{a} e^{b x} \cosh^{3}{\left(a + b x \right)}}{8} - \frac{e^{a} e^{b x} \sinh^{3}{\left(a + b x \right)}}{8 b} + \frac{e^{a} e^{b x} \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{4 b} + \frac{e^{a} e^{b x} \cosh^{3}{\left(a + b x \right)}}{8 b} & \text{for}\: b \neq 0 \\x e^{a} \sinh{\left(a \right)} \cosh^{2}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-x*exp(a)*exp(b*x)*sinh(a + b*x)**3/8 + x*exp(a)*exp(b*x)*sinh(a + b*x)**2*cosh(a + b*x)/8 + x*exp(a)*exp(b*x)*sinh(a + b*x)*cosh(a + b*x)**2/8 - x*exp(a)*exp(b*x)*cosh(a + b*x)**3/8 - exp(a)*exp(b*x)*sinh(a + b*x)**3/(8*b) + exp(a)*exp(b*x)*sinh(a + b*x)**2*cosh(a + b*x)/(4*b) + exp(a)*exp(b*x)*cosh(a + b*x)**3/(8*b), Ne(b, 0)), (x*exp(a)*sinh(a)*cosh(a)**2, True))","A",0
910,-1,0,0,0.000000," ","integrate(exp(b*x+a)*cosh(b*x+a)**2*csch(b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
911,-1,0,0,0.000000," ","integrate(exp(b*x+a)*cosh(b*x+a)**2*csch(b*x+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
912,-1,0,0,0.000000," ","integrate(exp(b*x+a)*cosh(b*x+a)**2*csch(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
913,-1,0,0,0.000000," ","integrate(exp(b*x+a)*cosh(b*x+a)**3*sinh(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
914,1,325,0,170.925771," ","integrate(exp(b*x+a)*cosh(b*x+a)**3*sinh(b*x+a)**2,x)","\begin{cases} \frac{x e^{a} e^{b x} \sinh^{5}{\left(a + b x \right)}}{16} - \frac{x e^{a} e^{b x} \sinh^{4}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{16} - \frac{x e^{a} e^{b x} \sinh^{3}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{8} + \frac{x e^{a} e^{b x} \sinh^{2}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{8} + \frac{x e^{a} e^{b x} \sinh{\left(a + b x \right)} \cosh^{4}{\left(a + b x \right)}}{16} - \frac{x e^{a} e^{b x} \cosh^{5}{\left(a + b x \right)}}{16} - \frac{13 e^{a} e^{b x} \sinh^{5}{\left(a + b x \right)}}{96 b} + \frac{7 e^{a} e^{b x} \sinh^{4}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{96 b} + \frac{e^{a} e^{b x} \sinh^{3}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{3 b} - \frac{e^{a} e^{b x} \sinh^{2}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{6 b} + \frac{e^{a} e^{b x} \sinh{\left(a + b x \right)} \cosh^{4}{\left(a + b x \right)}}{96 b} + \frac{5 e^{a} e^{b x} \cosh^{5}{\left(a + b x \right)}}{96 b} & \text{for}\: b \neq 0 \\x e^{a} \sinh^{2}{\left(a \right)} \cosh^{3}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*exp(a)*exp(b*x)*sinh(a + b*x)**5/16 - x*exp(a)*exp(b*x)*sinh(a + b*x)**4*cosh(a + b*x)/16 - x*exp(a)*exp(b*x)*sinh(a + b*x)**3*cosh(a + b*x)**2/8 + x*exp(a)*exp(b*x)*sinh(a + b*x)**2*cosh(a + b*x)**3/8 + x*exp(a)*exp(b*x)*sinh(a + b*x)*cosh(a + b*x)**4/16 - x*exp(a)*exp(b*x)*cosh(a + b*x)**5/16 - 13*exp(a)*exp(b*x)*sinh(a + b*x)**5/(96*b) + 7*exp(a)*exp(b*x)*sinh(a + b*x)**4*cosh(a + b*x)/(96*b) + exp(a)*exp(b*x)*sinh(a + b*x)**3*cosh(a + b*x)**2/(3*b) - exp(a)*exp(b*x)*sinh(a + b*x)**2*cosh(a + b*x)**3/(6*b) + exp(a)*exp(b*x)*sinh(a + b*x)*cosh(a + b*x)**4/(96*b) + 5*exp(a)*exp(b*x)*cosh(a + b*x)**5/(96*b), Ne(b, 0)), (x*exp(a)*sinh(a)**2*cosh(a)**3, True))","A",0
915,1,139,0,59.475249," ","integrate(exp(b*x+a)*cosh(b*x+a)**3*sinh(b*x+a),x)","\begin{cases} - \frac{2 e^{a} e^{b x} \sinh^{4}{\left(a + b x \right)}}{15 b} + \frac{2 e^{a} e^{b x} \sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{15 b} + \frac{e^{a} e^{b x} \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{5 b} - \frac{e^{a} e^{b x} \sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{5 b} + \frac{e^{a} e^{b x} \cosh^{4}{\left(a + b x \right)}}{5 b} & \text{for}\: b \neq 0 \\x e^{a} \sinh{\left(a \right)} \cosh^{3}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-2*exp(a)*exp(b*x)*sinh(a + b*x)**4/(15*b) + 2*exp(a)*exp(b*x)*sinh(a + b*x)**3*cosh(a + b*x)/(15*b) + exp(a)*exp(b*x)*sinh(a + b*x)**2*cosh(a + b*x)**2/(5*b) - exp(a)*exp(b*x)*sinh(a + b*x)*cosh(a + b*x)**3/(5*b) + exp(a)*exp(b*x)*cosh(a + b*x)**4/(5*b), Ne(b, 0)), (x*exp(a)*sinh(a)*cosh(a)**3, True))","A",0
916,-1,0,0,0.000000," ","integrate(exp(b*x+a)*cosh(b*x+a)**3*csch(b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
917,-1,0,0,0.000000," ","integrate(exp(b*x+a)*cosh(b*x+a)**3*csch(b*x+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
918,-1,0,0,0.000000," ","integrate(exp(b*x+a)*cosh(b*x+a)**3*csch(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
919,1,235,0,58.177239," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)*sinh(b*x+a)**3,x)","\begin{cases} - \frac{x e^{2 a} e^{2 b x} \sinh^{4}{\left(a + b x \right)}}{8} + \frac{x e^{2 a} e^{2 b x} \sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{4} - \frac{x e^{2 a} e^{2 b x} \sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{4} + \frac{x e^{2 a} e^{2 b x} \cosh^{4}{\left(a + b x \right)}}{8} + \frac{7 e^{2 a} e^{2 b x} \sinh^{4}{\left(a + b x \right)}}{48 b} - \frac{e^{2 a} e^{2 b x} \sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{6 b} + \frac{e^{2 a} e^{2 b x} \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{4 b} - \frac{e^{2 a} e^{2 b x} \cosh^{4}{\left(a + b x \right)}}{16 b} & \text{for}\: b \neq 0 \\x e^{2 a} \sinh^{3}{\left(a \right)} \cosh{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-x*exp(2*a)*exp(2*b*x)*sinh(a + b*x)**4/8 + x*exp(2*a)*exp(2*b*x)*sinh(a + b*x)**3*cosh(a + b*x)/4 - x*exp(2*a)*exp(2*b*x)*sinh(a + b*x)*cosh(a + b*x)**3/4 + x*exp(2*a)*exp(2*b*x)*cosh(a + b*x)**4/8 + 7*exp(2*a)*exp(2*b*x)*sinh(a + b*x)**4/(48*b) - exp(2*a)*exp(2*b*x)*sinh(a + b*x)**3*cosh(a + b*x)/(6*b) + exp(2*a)*exp(2*b*x)*sinh(a + b*x)**2*cosh(a + b*x)**2/(4*b) - exp(2*a)*exp(2*b*x)*cosh(a + b*x)**4/(16*b), Ne(b, 0)), (x*exp(2*a)*sinh(a)**3*cosh(a), True))","A",0
920,1,128,0,16.530423," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)*sinh(b*x+a)**2,x)","\begin{cases} \frac{e^{2 a} e^{2 b x} \sinh^{3}{\left(a + b x \right)}}{15 b} - \frac{2 e^{2 a} e^{2 b x} \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{15 b} + \frac{8 e^{2 a} e^{2 b x} \sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{15 b} - \frac{4 e^{2 a} e^{2 b x} \cosh^{3}{\left(a + b x \right)}}{15 b} & \text{for}\: b \neq 0 \\x e^{2 a} \sinh^{2}{\left(a \right)} \cosh{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((exp(2*a)*exp(2*b*x)*sinh(a + b*x)**3/(15*b) - 2*exp(2*a)*exp(2*b*x)*sinh(a + b*x)**2*cosh(a + b*x)/(15*b) + 8*exp(2*a)*exp(2*b*x)*sinh(a + b*x)*cosh(a + b*x)**2/(15*b) - 4*exp(2*a)*exp(2*b*x)*cosh(a + b*x)**3/(15*b), Ne(b, 0)), (x*exp(2*a)*sinh(a)**2*cosh(a), True))","A",0
921,1,117,0,4.559434," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)*sinh(b*x+a),x)","\begin{cases} - \frac{x e^{2 a} e^{2 b x} \sinh^{2}{\left(a + b x \right)}}{4} + \frac{x e^{2 a} e^{2 b x} \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{2} - \frac{x e^{2 a} e^{2 b x} \cosh^{2}{\left(a + b x \right)}}{4} + \frac{e^{2 a} e^{2 b x} \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{4 b} & \text{for}\: b \neq 0 \\x e^{2 a} \sinh{\left(a \right)} \cosh{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-x*exp(2*a)*exp(2*b*x)*sinh(a + b*x)**2/4 + x*exp(2*a)*exp(2*b*x)*sinh(a + b*x)*cosh(a + b*x)/2 - x*exp(2*a)*exp(2*b*x)*cosh(a + b*x)**2/4 + exp(2*a)*exp(2*b*x)*sinh(a + b*x)*cosh(a + b*x)/(4*b), Ne(b, 0)), (x*exp(2*a)*sinh(a)*cosh(a), True))","A",0
922,-1,0,0,0.000000," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)*csch(b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
923,-1,0,0,0.000000," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)*csch(b*x+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
924,-1,0,0,0.000000," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)*csch(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
925,1,197,0,163.245654," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)**2*sinh(b*x+a)**3,x)","\begin{cases} - \frac{4 e^{2 a} e^{2 b x} \sinh^{5}{\left(a + b x \right)}}{35 b} + \frac{8 e^{2 a} e^{2 b x} \sinh^{4}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{35 b} + \frac{2 e^{2 a} e^{2 b x} \sinh^{3}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{35 b} - \frac{e^{2 a} e^{2 b x} \sinh^{2}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{105 b} - \frac{4 e^{2 a} e^{2 b x} \sinh{\left(a + b x \right)} \cosh^{4}{\left(a + b x \right)}}{105 b} + \frac{2 e^{2 a} e^{2 b x} \cosh^{5}{\left(a + b x \right)}}{105 b} & \text{for}\: b \neq 0 \\x e^{2 a} \sinh^{3}{\left(a \right)} \cosh^{2}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-4*exp(2*a)*exp(2*b*x)*sinh(a + b*x)**5/(35*b) + 8*exp(2*a)*exp(2*b*x)*sinh(a + b*x)**4*cosh(a + b*x)/(35*b) + 2*exp(2*a)*exp(2*b*x)*sinh(a + b*x)**3*cosh(a + b*x)**2/(35*b) - exp(2*a)*exp(2*b*x)*sinh(a + b*x)**2*cosh(a + b*x)**3/(105*b) - 4*exp(2*a)*exp(2*b*x)*sinh(a + b*x)*cosh(a + b*x)**4/(105*b) + 2*exp(2*a)*exp(2*b*x)*cosh(a + b*x)**5/(105*b), Ne(b, 0)), (x*exp(2*a)*sinh(a)**3*cosh(a)**2, True))","A",0
926,1,128,0,57.102506," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)**2*sinh(b*x+a)**2,x)","\begin{cases} - \frac{5 e^{2 a} e^{2 b x} \sinh^{4}{\left(a + b x \right)}}{48 b} + \frac{5 e^{2 a} e^{2 b x} \sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{24 b} + \frac{e^{2 a} e^{2 b x} \sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{8 b} - \frac{e^{2 a} e^{2 b x} \cosh^{4}{\left(a + b x \right)}}{16 b} & \text{for}\: b \neq 0 \\x e^{2 a} \sinh^{2}{\left(a \right)} \cosh^{2}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-5*exp(2*a)*exp(2*b*x)*sinh(a + b*x)**4/(48*b) + 5*exp(2*a)*exp(2*b*x)*sinh(a + b*x)**3*cosh(a + b*x)/(24*b) + exp(2*a)*exp(2*b*x)*sinh(a + b*x)*cosh(a + b*x)**3/(8*b) - exp(2*a)*exp(2*b*x)*cosh(a + b*x)**4/(16*b), Ne(b, 0)), (x*exp(2*a)*sinh(a)**2*cosh(a)**2, True))","A",0
927,1,128,0,16.234672," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)**2*sinh(b*x+a),x)","\begin{cases} - \frac{4 e^{2 a} e^{2 b x} \sinh^{3}{\left(a + b x \right)}}{15 b} + \frac{8 e^{2 a} e^{2 b x} \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{15 b} - \frac{2 e^{2 a} e^{2 b x} \sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{15 b} + \frac{e^{2 a} e^{2 b x} \cosh^{3}{\left(a + b x \right)}}{15 b} & \text{for}\: b \neq 0 \\x e^{2 a} \sinh{\left(a \right)} \cosh^{2}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-4*exp(2*a)*exp(2*b*x)*sinh(a + b*x)**3/(15*b) + 8*exp(2*a)*exp(2*b*x)*sinh(a + b*x)**2*cosh(a + b*x)/(15*b) - 2*exp(2*a)*exp(2*b*x)*sinh(a + b*x)*cosh(a + b*x)**2/(15*b) + exp(2*a)*exp(2*b*x)*cosh(a + b*x)**3/(15*b), Ne(b, 0)), (x*exp(2*a)*sinh(a)*cosh(a)**2, True))","A",0
928,-1,0,0,0.000000," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)**2*csch(b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
929,-1,0,0,0.000000," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)**2*csch(b*x+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
930,-1,0,0,0.000000," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)**2*csch(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
931,-1,0,0,0.000000," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)**3*sinh(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
932,1,197,0,159.705919," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)**3*sinh(b*x+a)**2,x)","\begin{cases} \frac{2 e^{2 a} e^{2 b x} \sinh^{5}{\left(a + b x \right)}}{105 b} - \frac{4 e^{2 a} e^{2 b x} \sinh^{4}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{105 b} - \frac{e^{2 a} e^{2 b x} \sinh^{3}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{105 b} + \frac{2 e^{2 a} e^{2 b x} \sinh^{2}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{35 b} + \frac{8 e^{2 a} e^{2 b x} \sinh{\left(a + b x \right)} \cosh^{4}{\left(a + b x \right)}}{35 b} - \frac{4 e^{2 a} e^{2 b x} \cosh^{5}{\left(a + b x \right)}}{35 b} & \text{for}\: b \neq 0 \\x e^{2 a} \sinh^{2}{\left(a \right)} \cosh^{3}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*exp(2*a)*exp(2*b*x)*sinh(a + b*x)**5/(105*b) - 4*exp(2*a)*exp(2*b*x)*sinh(a + b*x)**4*cosh(a + b*x)/(105*b) - exp(2*a)*exp(2*b*x)*sinh(a + b*x)**3*cosh(a + b*x)**2/(105*b) + 2*exp(2*a)*exp(2*b*x)*sinh(a + b*x)**2*cosh(a + b*x)**3/(35*b) + 8*exp(2*a)*exp(2*b*x)*sinh(a + b*x)*cosh(a + b*x)**4/(35*b) - 4*exp(2*a)*exp(2*b*x)*cosh(a + b*x)**5/(35*b), Ne(b, 0)), (x*exp(2*a)*sinh(a)**2*cosh(a)**3, True))","A",0
933,1,233,0,52.941791," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)**3*sinh(b*x+a),x)","\begin{cases} \frac{x e^{2 a} e^{2 b x} \sinh^{4}{\left(a + b x \right)}}{8} - \frac{x e^{2 a} e^{2 b x} \sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{4} + \frac{x e^{2 a} e^{2 b x} \sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{4} - \frac{x e^{2 a} e^{2 b x} \cosh^{4}{\left(a + b x \right)}}{8} + \frac{e^{2 a} e^{2 b x} \sinh^{4}{\left(a + b x \right)}}{48 b} - \frac{e^{2 a} e^{2 b x} \sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{6 b} + \frac{e^{2 a} e^{2 b x} \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{4 b} + \frac{e^{2 a} e^{2 b x} \cosh^{4}{\left(a + b x \right)}}{16 b} & \text{for}\: b \neq 0 \\x e^{2 a} \sinh{\left(a \right)} \cosh^{3}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*exp(2*a)*exp(2*b*x)*sinh(a + b*x)**4/8 - x*exp(2*a)*exp(2*b*x)*sinh(a + b*x)**3*cosh(a + b*x)/4 + x*exp(2*a)*exp(2*b*x)*sinh(a + b*x)*cosh(a + b*x)**3/4 - x*exp(2*a)*exp(2*b*x)*cosh(a + b*x)**4/8 + exp(2*a)*exp(2*b*x)*sinh(a + b*x)**4/(48*b) - exp(2*a)*exp(2*b*x)*sinh(a + b*x)**3*cosh(a + b*x)/(6*b) + exp(2*a)*exp(2*b*x)*sinh(a + b*x)**2*cosh(a + b*x)**2/(4*b) + exp(2*a)*exp(2*b*x)*cosh(a + b*x)**4/(16*b), Ne(b, 0)), (x*exp(2*a)*sinh(a)*cosh(a)**3, True))","A",0
934,-1,0,0,0.000000," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)**3*csch(b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
935,-1,0,0,0.000000," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)**3*csch(b*x+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
936,-1,0,0,0.000000," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)**3*csch(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
937,0,0,0,0.000000," ","integrate(exp(x)*sech(2*x)*tanh(2*x),x)","\int e^{x} \tanh{\left(2 x \right)} \operatorname{sech}{\left(2 x \right)}\, dx"," ",0,"Integral(exp(x)*tanh(2*x)*sech(2*x), x)","F",0
938,0,0,0,0.000000," ","integrate(exp(x)*sech(2*x)**2*tanh(2*x),x)","\int e^{x} \tanh{\left(2 x \right)} \operatorname{sech}^{2}{\left(2 x \right)}\, dx"," ",0,"Integral(exp(x)*tanh(2*x)*sech(2*x)**2, x)","F",0
939,0,0,0,0.000000," ","integrate(exp(x)*sech(2*x)*tanh(2*x)**2,x)","\int e^{x} \tanh^{2}{\left(2 x \right)} \operatorname{sech}{\left(2 x \right)}\, dx"," ",0,"Integral(exp(x)*tanh(2*x)**2*sech(2*x), x)","F",0
940,0,0,0,0.000000," ","integrate(exp(x)*sech(2*x)**2*tanh(2*x)**2,x)","\int e^{x} \tanh^{2}{\left(2 x \right)} \operatorname{sech}^{2}{\left(2 x \right)}\, dx"," ",0,"Integral(exp(x)*tanh(2*x)**2*sech(2*x)**2, x)","F",0
941,0,0,0,0.000000," ","integrate(exp(x)*coth(2*x)*csch(2*x),x)","\int e^{x} \coth{\left(2 x \right)} \operatorname{csch}{\left(2 x \right)}\, dx"," ",0,"Integral(exp(x)*coth(2*x)*csch(2*x), x)","F",0
942,0,0,0,0.000000," ","integrate(exp(x)*coth(2*x)*csch(2*x)**2,x)","\int e^{x} \coth{\left(2 x \right)} \operatorname{csch}^{2}{\left(2 x \right)}\, dx"," ",0,"Integral(exp(x)*coth(2*x)*csch(2*x)**2, x)","F",0
943,0,0,0,0.000000," ","integrate(exp(x)*coth(2*x)**2*csch(2*x),x)","\int e^{x} \coth^{2}{\left(2 x \right)} \operatorname{csch}{\left(2 x \right)}\, dx"," ",0,"Integral(exp(x)*coth(2*x)**2*csch(2*x), x)","F",0
944,0,0,0,0.000000," ","integrate(exp(x)*coth(2*x)**2*csch(2*x)**2,x)","\int e^{x} \coth^{2}{\left(2 x \right)} \operatorname{csch}^{2}{\left(2 x \right)}\, dx"," ",0,"Integral(exp(x)*coth(2*x)**2*csch(2*x)**2, x)","F",0
945,1,1292,0,142.132731," ","integrate(exp(d*x+c)*cosh(b*x+a)*sinh(b*x+a)**3,x)","\begin{cases} x e^{c} \sinh^{3}{\left(a \right)} \cosh{\left(a \right)} & \text{for}\: b = 0 \wedge d = 0 \\\frac{x e^{c} e^{d x} \sinh^{4}{\left(a - \frac{d x}{2} \right)}}{8} + \frac{x e^{c} e^{d x} \sinh^{3}{\left(a - \frac{d x}{2} \right)} \cosh{\left(a - \frac{d x}{2} \right)}}{4} - \frac{x e^{c} e^{d x} \sinh{\left(a - \frac{d x}{2} \right)} \cosh^{3}{\left(a - \frac{d x}{2} \right)}}{4} - \frac{x e^{c} e^{d x} \cosh^{4}{\left(a - \frac{d x}{2} \right)}}{8} - \frac{e^{c} e^{d x} \sinh^{4}{\left(a - \frac{d x}{2} \right)}}{8 d} - \frac{e^{c} e^{d x} \sinh^{2}{\left(a - \frac{d x}{2} \right)} \cosh^{2}{\left(a - \frac{d x}{2} \right)}}{2 d} - \frac{e^{c} e^{d x} \sinh{\left(a - \frac{d x}{2} \right)} \cosh^{3}{\left(a - \frac{d x}{2} \right)}}{3 d} - \frac{e^{c} e^{d x} \cosh^{4}{\left(a - \frac{d x}{2} \right)}}{24 d} & \text{for}\: b = - \frac{d}{2} \\\frac{x e^{c} e^{d x} \sinh^{4}{\left(a - \frac{d x}{4} \right)}}{16} + \frac{x e^{c} e^{d x} \sinh^{3}{\left(a - \frac{d x}{4} \right)} \cosh{\left(a - \frac{d x}{4} \right)}}{4} + \frac{3 x e^{c} e^{d x} \sinh^{2}{\left(a - \frac{d x}{4} \right)} \cosh^{2}{\left(a - \frac{d x}{4} \right)}}{8} + \frac{x e^{c} e^{d x} \sinh{\left(a - \frac{d x}{4} \right)} \cosh^{3}{\left(a - \frac{d x}{4} \right)}}{4} + \frac{x e^{c} e^{d x} \cosh^{4}{\left(a - \frac{d x}{4} \right)}}{16} + \frac{e^{c} e^{d x} \sinh^{4}{\left(a - \frac{d x}{4} \right)}}{6 d} + \frac{11 e^{c} e^{d x} \sinh^{3}{\left(a - \frac{d x}{4} \right)} \cosh{\left(a - \frac{d x}{4} \right)}}{12 d} - \frac{5 e^{c} e^{d x} \sinh{\left(a - \frac{d x}{4} \right)} \cosh^{3}{\left(a - \frac{d x}{4} \right)}}{12 d} - \frac{e^{c} e^{d x} \cosh^{4}{\left(a - \frac{d x}{4} \right)}}{6 d} & \text{for}\: b = - \frac{d}{4} \\- \frac{x e^{c} e^{d x} \sinh^{4}{\left(a + \frac{d x}{4} \right)}}{16} + \frac{x e^{c} e^{d x} \sinh^{3}{\left(a + \frac{d x}{4} \right)} \cosh{\left(a + \frac{d x}{4} \right)}}{4} - \frac{3 x e^{c} e^{d x} \sinh^{2}{\left(a + \frac{d x}{4} \right)} \cosh^{2}{\left(a + \frac{d x}{4} \right)}}{8} + \frac{x e^{c} e^{d x} \sinh{\left(a + \frac{d x}{4} \right)} \cosh^{3}{\left(a + \frac{d x}{4} \right)}}{4} - \frac{x e^{c} e^{d x} \cosh^{4}{\left(a + \frac{d x}{4} \right)}}{16} - \frac{e^{c} e^{d x} \sinh^{4}{\left(a + \frac{d x}{4} \right)}}{6 d} + \frac{11 e^{c} e^{d x} \sinh^{3}{\left(a + \frac{d x}{4} \right)} \cosh{\left(a + \frac{d x}{4} \right)}}{12 d} - \frac{5 e^{c} e^{d x} \sinh{\left(a + \frac{d x}{4} \right)} \cosh^{3}{\left(a + \frac{d x}{4} \right)}}{12 d} + \frac{e^{c} e^{d x} \cosh^{4}{\left(a + \frac{d x}{4} \right)}}{6 d} & \text{for}\: b = \frac{d}{4} \\- \frac{x e^{c} e^{d x} \sinh^{4}{\left(a + \frac{d x}{2} \right)}}{8} + \frac{x e^{c} e^{d x} \sinh^{3}{\left(a + \frac{d x}{2} \right)} \cosh{\left(a + \frac{d x}{2} \right)}}{4} - \frac{x e^{c} e^{d x} \sinh{\left(a + \frac{d x}{2} \right)} \cosh^{3}{\left(a + \frac{d x}{2} \right)}}{4} + \frac{x e^{c} e^{d x} \cosh^{4}{\left(a + \frac{d x}{2} \right)}}{8} + \frac{e^{c} e^{d x} \sinh^{4}{\left(a + \frac{d x}{2} \right)}}{8 d} + \frac{e^{c} e^{d x} \sinh^{2}{\left(a + \frac{d x}{2} \right)} \cosh^{2}{\left(a + \frac{d x}{2} \right)}}{2 d} - \frac{e^{c} e^{d x} \sinh{\left(a + \frac{d x}{2} \right)} \cosh^{3}{\left(a + \frac{d x}{2} \right)}}{3 d} + \frac{e^{c} e^{d x} \cosh^{4}{\left(a + \frac{d x}{2} \right)}}{24 d} & \text{for}\: b = \frac{d}{2} \\\frac{10 b^{3} e^{c} e^{d x} \sinh^{4}{\left(a + b x \right)}}{64 b^{4} - 20 b^{2} d^{2} + d^{4}} + \frac{12 b^{3} e^{c} e^{d x} \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{64 b^{4} - 20 b^{2} d^{2} + d^{4}} - \frac{6 b^{3} e^{c} e^{d x} \cosh^{4}{\left(a + b x \right)}}{64 b^{4} - 20 b^{2} d^{2} + d^{4}} - \frac{10 b^{2} d e^{c} e^{d x} \sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{64 b^{4} - 20 b^{2} d^{2} + d^{4}} + \frac{6 b^{2} d e^{c} e^{d x} \sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{64 b^{4} - 20 b^{2} d^{2} + d^{4}} - \frac{b d^{2} e^{c} e^{d x} \sinh^{4}{\left(a + b x \right)}}{64 b^{4} - 20 b^{2} d^{2} + d^{4}} - \frac{3 b d^{2} e^{c} e^{d x} \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{64 b^{4} - 20 b^{2} d^{2} + d^{4}} + \frac{d^{3} e^{c} e^{d x} \sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{64 b^{4} - 20 b^{2} d^{2} + d^{4}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*exp(c)*sinh(a)**3*cosh(a), Eq(b, 0) & Eq(d, 0)), (x*exp(c)*exp(d*x)*sinh(a - d*x/2)**4/8 + x*exp(c)*exp(d*x)*sinh(a - d*x/2)**3*cosh(a - d*x/2)/4 - x*exp(c)*exp(d*x)*sinh(a - d*x/2)*cosh(a - d*x/2)**3/4 - x*exp(c)*exp(d*x)*cosh(a - d*x/2)**4/8 - exp(c)*exp(d*x)*sinh(a - d*x/2)**4/(8*d) - exp(c)*exp(d*x)*sinh(a - d*x/2)**2*cosh(a - d*x/2)**2/(2*d) - exp(c)*exp(d*x)*sinh(a - d*x/2)*cosh(a - d*x/2)**3/(3*d) - exp(c)*exp(d*x)*cosh(a - d*x/2)**4/(24*d), Eq(b, -d/2)), (x*exp(c)*exp(d*x)*sinh(a - d*x/4)**4/16 + x*exp(c)*exp(d*x)*sinh(a - d*x/4)**3*cosh(a - d*x/4)/4 + 3*x*exp(c)*exp(d*x)*sinh(a - d*x/4)**2*cosh(a - d*x/4)**2/8 + x*exp(c)*exp(d*x)*sinh(a - d*x/4)*cosh(a - d*x/4)**3/4 + x*exp(c)*exp(d*x)*cosh(a - d*x/4)**4/16 + exp(c)*exp(d*x)*sinh(a - d*x/4)**4/(6*d) + 11*exp(c)*exp(d*x)*sinh(a - d*x/4)**3*cosh(a - d*x/4)/(12*d) - 5*exp(c)*exp(d*x)*sinh(a - d*x/4)*cosh(a - d*x/4)**3/(12*d) - exp(c)*exp(d*x)*cosh(a - d*x/4)**4/(6*d), Eq(b, -d/4)), (-x*exp(c)*exp(d*x)*sinh(a + d*x/4)**4/16 + x*exp(c)*exp(d*x)*sinh(a + d*x/4)**3*cosh(a + d*x/4)/4 - 3*x*exp(c)*exp(d*x)*sinh(a + d*x/4)**2*cosh(a + d*x/4)**2/8 + x*exp(c)*exp(d*x)*sinh(a + d*x/4)*cosh(a + d*x/4)**3/4 - x*exp(c)*exp(d*x)*cosh(a + d*x/4)**4/16 - exp(c)*exp(d*x)*sinh(a + d*x/4)**4/(6*d) + 11*exp(c)*exp(d*x)*sinh(a + d*x/4)**3*cosh(a + d*x/4)/(12*d) - 5*exp(c)*exp(d*x)*sinh(a + d*x/4)*cosh(a + d*x/4)**3/(12*d) + exp(c)*exp(d*x)*cosh(a + d*x/4)**4/(6*d), Eq(b, d/4)), (-x*exp(c)*exp(d*x)*sinh(a + d*x/2)**4/8 + x*exp(c)*exp(d*x)*sinh(a + d*x/2)**3*cosh(a + d*x/2)/4 - x*exp(c)*exp(d*x)*sinh(a + d*x/2)*cosh(a + d*x/2)**3/4 + x*exp(c)*exp(d*x)*cosh(a + d*x/2)**4/8 + exp(c)*exp(d*x)*sinh(a + d*x/2)**4/(8*d) + exp(c)*exp(d*x)*sinh(a + d*x/2)**2*cosh(a + d*x/2)**2/(2*d) - exp(c)*exp(d*x)*sinh(a + d*x/2)*cosh(a + d*x/2)**3/(3*d) + exp(c)*exp(d*x)*cosh(a + d*x/2)**4/(24*d), Eq(b, d/2)), (10*b**3*exp(c)*exp(d*x)*sinh(a + b*x)**4/(64*b**4 - 20*b**2*d**2 + d**4) + 12*b**3*exp(c)*exp(d*x)*sinh(a + b*x)**2*cosh(a + b*x)**2/(64*b**4 - 20*b**2*d**2 + d**4) - 6*b**3*exp(c)*exp(d*x)*cosh(a + b*x)**4/(64*b**4 - 20*b**2*d**2 + d**4) - 10*b**2*d*exp(c)*exp(d*x)*sinh(a + b*x)**3*cosh(a + b*x)/(64*b**4 - 20*b**2*d**2 + d**4) + 6*b**2*d*exp(c)*exp(d*x)*sinh(a + b*x)*cosh(a + b*x)**3/(64*b**4 - 20*b**2*d**2 + d**4) - b*d**2*exp(c)*exp(d*x)*sinh(a + b*x)**4/(64*b**4 - 20*b**2*d**2 + d**4) - 3*b*d**2*exp(c)*exp(d*x)*sinh(a + b*x)**2*cosh(a + b*x)**2/(64*b**4 - 20*b**2*d**2 + d**4) + d**3*exp(c)*exp(d*x)*sinh(a + b*x)**3*cosh(a + b*x)/(64*b**4 - 20*b**2*d**2 + d**4), True))","A",0
946,1,972,0,43.495648," ","integrate(exp(d*x+c)*cosh(b*x+a)*sinh(b*x+a)**2,x)","\begin{cases} x e^{c} \sinh^{2}{\left(a \right)} \cosh{\left(a \right)} & \text{for}\: b = 0 \wedge d = 0 \\\frac{x e^{c} e^{d x} \sinh^{3}{\left(a - d x \right)}}{8} + \frac{x e^{c} e^{d x} \sinh^{2}{\left(a - d x \right)} \cosh{\left(a - d x \right)}}{8} - \frac{x e^{c} e^{d x} \sinh{\left(a - d x \right)} \cosh^{2}{\left(a - d x \right)}}{8} - \frac{x e^{c} e^{d x} \cosh^{3}{\left(a - d x \right)}}{8} - \frac{3 e^{c} e^{d x} \sinh^{3}{\left(a - d x \right)}}{8 d} - \frac{e^{c} e^{d x} \sinh^{2}{\left(a - d x \right)} \cosh{\left(a - d x \right)}}{4 d} + \frac{e^{c} e^{d x} \cosh^{3}{\left(a - d x \right)}}{8 d} & \text{for}\: b = - d \\\frac{x e^{c} e^{d x} \sinh^{3}{\left(a - \frac{d x}{3} \right)}}{8} + \frac{3 x e^{c} e^{d x} \sinh^{2}{\left(a - \frac{d x}{3} \right)} \cosh{\left(a - \frac{d x}{3} \right)}}{8} + \frac{3 x e^{c} e^{d x} \sinh{\left(a - \frac{d x}{3} \right)} \cosh^{2}{\left(a - \frac{d x}{3} \right)}}{8} + \frac{x e^{c} e^{d x} \cosh^{3}{\left(a - \frac{d x}{3} \right)}}{8} - \frac{e^{c} e^{d x} \sinh^{3}{\left(a - \frac{d x}{3} \right)}}{8 d} - \frac{3 e^{c} e^{d x} \sinh{\left(a - \frac{d x}{3} \right)} \cosh^{2}{\left(a - \frac{d x}{3} \right)}}{4 d} - \frac{3 e^{c} e^{d x} \cosh^{3}{\left(a - \frac{d x}{3} \right)}}{8 d} & \text{for}\: b = - \frac{d}{3} \\- \frac{x e^{c} e^{d x} \sinh^{3}{\left(a + \frac{d x}{3} \right)}}{8} + \frac{3 x e^{c} e^{d x} \sinh^{2}{\left(a + \frac{d x}{3} \right)} \cosh{\left(a + \frac{d x}{3} \right)}}{8} - \frac{3 x e^{c} e^{d x} \sinh{\left(a + \frac{d x}{3} \right)} \cosh^{2}{\left(a + \frac{d x}{3} \right)}}{8} + \frac{x e^{c} e^{d x} \cosh^{3}{\left(a + \frac{d x}{3} \right)}}{8} - \frac{e^{c} e^{d x} \sinh^{3}{\left(a + \frac{d x}{3} \right)}}{8 d} + \frac{3 e^{c} e^{d x} \sinh^{2}{\left(a + \frac{d x}{3} \right)} \cosh{\left(a + \frac{d x}{3} \right)}}{4 d} - \frac{e^{c} e^{d x} \cosh^{3}{\left(a + \frac{d x}{3} \right)}}{8 d} & \text{for}\: b = \frac{d}{3} \\- \frac{x e^{c} e^{d x} \sinh^{3}{\left(a + d x \right)}}{8} + \frac{x e^{c} e^{d x} \sinh^{2}{\left(a + d x \right)} \cosh{\left(a + d x \right)}}{8} + \frac{x e^{c} e^{d x} \sinh{\left(a + d x \right)} \cosh^{2}{\left(a + d x \right)}}{8} - \frac{x e^{c} e^{d x} \cosh^{3}{\left(a + d x \right)}}{8} + \frac{e^{c} e^{d x} \sinh^{3}{\left(a + d x \right)}}{8 d} + \frac{e^{c} e^{d x} \sinh{\left(a + d x \right)} \cosh^{2}{\left(a + d x \right)}}{4 d} - \frac{e^{c} e^{d x} \cosh^{3}{\left(a + d x \right)}}{8 d} & \text{for}\: b = d \\\frac{3 b^{3} e^{c} e^{d x} \sinh^{3}{\left(a + b x \right)}}{9 b^{4} - 10 b^{2} d^{2} + d^{4}} - \frac{3 b^{2} d e^{c} e^{d x} \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{9 b^{4} - 10 b^{2} d^{2} + d^{4}} + \frac{2 b^{2} d e^{c} e^{d x} \cosh^{3}{\left(a + b x \right)}}{9 b^{4} - 10 b^{2} d^{2} + d^{4}} - \frac{b d^{2} e^{c} e^{d x} \sinh^{3}{\left(a + b x \right)}}{9 b^{4} - 10 b^{2} d^{2} + d^{4}} - \frac{2 b d^{2} e^{c} e^{d x} \sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{9 b^{4} - 10 b^{2} d^{2} + d^{4}} + \frac{d^{3} e^{c} e^{d x} \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{9 b^{4} - 10 b^{2} d^{2} + d^{4}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*exp(c)*sinh(a)**2*cosh(a), Eq(b, 0) & Eq(d, 0)), (x*exp(c)*exp(d*x)*sinh(a - d*x)**3/8 + x*exp(c)*exp(d*x)*sinh(a - d*x)**2*cosh(a - d*x)/8 - x*exp(c)*exp(d*x)*sinh(a - d*x)*cosh(a - d*x)**2/8 - x*exp(c)*exp(d*x)*cosh(a - d*x)**3/8 - 3*exp(c)*exp(d*x)*sinh(a - d*x)**3/(8*d) - exp(c)*exp(d*x)*sinh(a - d*x)**2*cosh(a - d*x)/(4*d) + exp(c)*exp(d*x)*cosh(a - d*x)**3/(8*d), Eq(b, -d)), (x*exp(c)*exp(d*x)*sinh(a - d*x/3)**3/8 + 3*x*exp(c)*exp(d*x)*sinh(a - d*x/3)**2*cosh(a - d*x/3)/8 + 3*x*exp(c)*exp(d*x)*sinh(a - d*x/3)*cosh(a - d*x/3)**2/8 + x*exp(c)*exp(d*x)*cosh(a - d*x/3)**3/8 - exp(c)*exp(d*x)*sinh(a - d*x/3)**3/(8*d) - 3*exp(c)*exp(d*x)*sinh(a - d*x/3)*cosh(a - d*x/3)**2/(4*d) - 3*exp(c)*exp(d*x)*cosh(a - d*x/3)**3/(8*d), Eq(b, -d/3)), (-x*exp(c)*exp(d*x)*sinh(a + d*x/3)**3/8 + 3*x*exp(c)*exp(d*x)*sinh(a + d*x/3)**2*cosh(a + d*x/3)/8 - 3*x*exp(c)*exp(d*x)*sinh(a + d*x/3)*cosh(a + d*x/3)**2/8 + x*exp(c)*exp(d*x)*cosh(a + d*x/3)**3/8 - exp(c)*exp(d*x)*sinh(a + d*x/3)**3/(8*d) + 3*exp(c)*exp(d*x)*sinh(a + d*x/3)**2*cosh(a + d*x/3)/(4*d) - exp(c)*exp(d*x)*cosh(a + d*x/3)**3/(8*d), Eq(b, d/3)), (-x*exp(c)*exp(d*x)*sinh(a + d*x)**3/8 + x*exp(c)*exp(d*x)*sinh(a + d*x)**2*cosh(a + d*x)/8 + x*exp(c)*exp(d*x)*sinh(a + d*x)*cosh(a + d*x)**2/8 - x*exp(c)*exp(d*x)*cosh(a + d*x)**3/8 + exp(c)*exp(d*x)*sinh(a + d*x)**3/(8*d) + exp(c)*exp(d*x)*sinh(a + d*x)*cosh(a + d*x)**2/(4*d) - exp(c)*exp(d*x)*cosh(a + d*x)**3/(8*d), Eq(b, d)), (3*b**3*exp(c)*exp(d*x)*sinh(a + b*x)**3/(9*b**4 - 10*b**2*d**2 + d**4) - 3*b**2*d*exp(c)*exp(d*x)*sinh(a + b*x)**2*cosh(a + b*x)/(9*b**4 - 10*b**2*d**2 + d**4) + 2*b**2*d*exp(c)*exp(d*x)*cosh(a + b*x)**3/(9*b**4 - 10*b**2*d**2 + d**4) - b*d**2*exp(c)*exp(d*x)*sinh(a + b*x)**3/(9*b**4 - 10*b**2*d**2 + d**4) - 2*b*d**2*exp(c)*exp(d*x)*sinh(a + b*x)*cosh(a + b*x)**2/(9*b**4 - 10*b**2*d**2 + d**4) + d**3*exp(c)*exp(d*x)*sinh(a + b*x)**2*cosh(a + b*x)/(9*b**4 - 10*b**2*d**2 + d**4), True))","A",0
947,1,304,0,8.445924," ","integrate(exp(d*x+c)*cosh(b*x+a)*sinh(b*x+a),x)","\begin{cases} x e^{c} \sinh{\left(a \right)} \cosh{\left(a \right)} & \text{for}\: b = 0 \wedge d = 0 \\\frac{x e^{c} e^{d x} \sinh^{2}{\left(a - \frac{d x}{2} \right)}}{4} + \frac{x e^{c} e^{d x} \sinh{\left(a - \frac{d x}{2} \right)} \cosh{\left(a - \frac{d x}{2} \right)}}{2} + \frac{x e^{c} e^{d x} \cosh^{2}{\left(a - \frac{d x}{2} \right)}}{4} + \frac{e^{c} e^{d x} \sinh{\left(a - \frac{d x}{2} \right)} \cosh{\left(a - \frac{d x}{2} \right)}}{2 d} & \text{for}\: b = - \frac{d}{2} \\- \frac{x e^{c} e^{d x} \sinh^{2}{\left(a + \frac{d x}{2} \right)}}{4} + \frac{x e^{c} e^{d x} \sinh{\left(a + \frac{d x}{2} \right)} \cosh{\left(a + \frac{d x}{2} \right)}}{2} - \frac{x e^{c} e^{d x} \cosh^{2}{\left(a + \frac{d x}{2} \right)}}{4} + \frac{e^{c} e^{d x} \sinh{\left(a + \frac{d x}{2} \right)} \cosh{\left(a + \frac{d x}{2} \right)}}{2 d} & \text{for}\: b = \frac{d}{2} \\\frac{b e^{c} e^{d x} \sinh^{2}{\left(a + b x \right)}}{4 b^{2} - d^{2}} + \frac{b e^{c} e^{d x} \cosh^{2}{\left(a + b x \right)}}{4 b^{2} - d^{2}} - \frac{d e^{c} e^{d x} \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{4 b^{2} - d^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*exp(c)*sinh(a)*cosh(a), Eq(b, 0) & Eq(d, 0)), (x*exp(c)*exp(d*x)*sinh(a - d*x/2)**2/4 + x*exp(c)*exp(d*x)*sinh(a - d*x/2)*cosh(a - d*x/2)/2 + x*exp(c)*exp(d*x)*cosh(a - d*x/2)**2/4 + exp(c)*exp(d*x)*sinh(a - d*x/2)*cosh(a - d*x/2)/(2*d), Eq(b, -d/2)), (-x*exp(c)*exp(d*x)*sinh(a + d*x/2)**2/4 + x*exp(c)*exp(d*x)*sinh(a + d*x/2)*cosh(a + d*x/2)/2 - x*exp(c)*exp(d*x)*cosh(a + d*x/2)**2/4 + exp(c)*exp(d*x)*sinh(a + d*x/2)*cosh(a + d*x/2)/(2*d), Eq(b, d/2)), (b*exp(c)*exp(d*x)*sinh(a + b*x)**2/(4*b**2 - d**2) + b*exp(c)*exp(d*x)*cosh(a + b*x)**2/(4*b**2 - d**2) - d*exp(c)*exp(d*x)*sinh(a + b*x)*cosh(a + b*x)/(4*b**2 - d**2), True))","A",0
948,1,184,0,2.097306," ","integrate(exp(d*x+c)*cosh(b*x+a),x)","\begin{cases} x e^{c} \cosh{\left(a \right)} & \text{for}\: b = 0 \wedge d = 0 \\\frac{x e^{c} e^{d x} \sinh{\left(a - d x \right)}}{2} + \frac{x e^{c} e^{d x} \cosh{\left(a - d x \right)}}{2} - \frac{e^{c} e^{d x} \sinh{\left(a - d x \right)}}{2 d} & \text{for}\: b = - d \\- \frac{x e^{c} e^{d x} \sinh{\left(a + d x \right)}}{2} + \frac{x e^{c} e^{d x} \cosh{\left(a + d x \right)}}{2} + \frac{e^{c} e^{d x} \sinh{\left(a + d x \right)}}{d} - \frac{e^{c} e^{d x} \cosh{\left(a + d x \right)}}{2 d} & \text{for}\: b = d \\\frac{b e^{c} e^{d x} \sinh{\left(a + b x \right)}}{b^{2} - d^{2}} - \frac{d e^{c} e^{d x} \cosh{\left(a + b x \right)}}{b^{2} - d^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*exp(c)*cosh(a), Eq(b, 0) & Eq(d, 0)), (x*exp(c)*exp(d*x)*sinh(a - d*x)/2 + x*exp(c)*exp(d*x)*cosh(a - d*x)/2 - exp(c)*exp(d*x)*sinh(a - d*x)/(2*d), Eq(b, -d)), (-x*exp(c)*exp(d*x)*sinh(a + d*x)/2 + x*exp(c)*exp(d*x)*cosh(a + d*x)/2 + exp(c)*exp(d*x)*sinh(a + d*x)/d - exp(c)*exp(d*x)*cosh(a + d*x)/(2*d), Eq(b, d)), (b*exp(c)*exp(d*x)*sinh(a + b*x)/(b**2 - d**2) - d*exp(c)*exp(d*x)*cosh(a + b*x)/(b**2 - d**2), True))","A",0
949,0,0,0,0.000000," ","integrate(exp(d*x+c)*cosh(b*x+a)*csch(b*x+a),x)","e^{c} \int e^{d x} \cosh{\left(a + b x \right)} \operatorname{csch}{\left(a + b x \right)}\, dx"," ",0,"exp(c)*Integral(exp(d*x)*cosh(a + b*x)*csch(a + b*x), x)","F",0
950,-1,0,0,0.000000," ","integrate(exp(d*x+c)*cosh(b*x+a)*csch(b*x+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
951,-1,0,0,0.000000," ","integrate(exp(d*x+c)*cosh(b*x+a)*csch(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
952,-1,0,0,0.000000," ","integrate(exp(d*x+c)*cosh(b*x+a)**2*sinh(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
953,1,819,0,88.849855," ","integrate(exp(d*x+c)*cosh(b*x+a)**2*sinh(b*x+a)**2,x)","\begin{cases} x e^{c} \sinh^{2}{\left(a \right)} \cosh^{2}{\left(a \right)} & \text{for}\: b = 0 \wedge d = 0 \\\frac{x e^{c} e^{d x} \sinh^{4}{\left(a - \frac{d x}{4} \right)}}{16} + \frac{x e^{c} e^{d x} \sinh^{3}{\left(a - \frac{d x}{4} \right)} \cosh{\left(a - \frac{d x}{4} \right)}}{4} + \frac{3 x e^{c} e^{d x} \sinh^{2}{\left(a - \frac{d x}{4} \right)} \cosh^{2}{\left(a - \frac{d x}{4} \right)}}{8} + \frac{x e^{c} e^{d x} \sinh{\left(a - \frac{d x}{4} \right)} \cosh^{3}{\left(a - \frac{d x}{4} \right)}}{4} + \frac{x e^{c} e^{d x} \cosh^{4}{\left(a - \frac{d x}{4} \right)}}{16} - \frac{e^{c} e^{d x} \sinh^{4}{\left(a - \frac{d x}{4} \right)}}{6 d} - \frac{5 e^{c} e^{d x} \sinh^{3}{\left(a - \frac{d x}{4} \right)} \cosh{\left(a - \frac{d x}{4} \right)}}{12 d} - \frac{5 e^{c} e^{d x} \sinh{\left(a - \frac{d x}{4} \right)} \cosh^{3}{\left(a - \frac{d x}{4} \right)}}{12 d} - \frac{e^{c} e^{d x} \cosh^{4}{\left(a - \frac{d x}{4} \right)}}{6 d} & \text{for}\: b = - \frac{d}{4} \\\frac{x e^{c} e^{d x} \sinh^{4}{\left(a + \frac{d x}{4} \right)}}{16} - \frac{x e^{c} e^{d x} \sinh^{3}{\left(a + \frac{d x}{4} \right)} \cosh{\left(a + \frac{d x}{4} \right)}}{4} + \frac{3 x e^{c} e^{d x} \sinh^{2}{\left(a + \frac{d x}{4} \right)} \cosh^{2}{\left(a + \frac{d x}{4} \right)}}{8} - \frac{x e^{c} e^{d x} \sinh{\left(a + \frac{d x}{4} \right)} \cosh^{3}{\left(a + \frac{d x}{4} \right)}}{4} + \frac{x e^{c} e^{d x} \cosh^{4}{\left(a + \frac{d x}{4} \right)}}{16} - \frac{e^{c} e^{d x} \sinh^{4}{\left(a + \frac{d x}{4} \right)}}{6 d} + \frac{5 e^{c} e^{d x} \sinh^{3}{\left(a + \frac{d x}{4} \right)} \cosh{\left(a + \frac{d x}{4} \right)}}{12 d} + \frac{5 e^{c} e^{d x} \sinh{\left(a + \frac{d x}{4} \right)} \cosh^{3}{\left(a + \frac{d x}{4} \right)}}{12 d} - \frac{e^{c} e^{d x} \cosh^{4}{\left(a + \frac{d x}{4} \right)}}{6 d} & \text{for}\: b = \frac{d}{4} \\\left(- \frac{x \sinh^{4}{\left(a + b x \right)}}{8} + \frac{x \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{4} - \frac{x \cosh^{4}{\left(a + b x \right)}}{8} + \frac{\sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{8 b} + \frac{\sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{8 b}\right) e^{c} & \text{for}\: d = 0 \\- \frac{2 b^{2} e^{c} e^{d x} \sinh^{4}{\left(a + b x \right)}}{16 b^{2} d - d^{3}} + \frac{4 b^{2} e^{c} e^{d x} \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{16 b^{2} d - d^{3}} - \frac{2 b^{2} e^{c} e^{d x} \cosh^{4}{\left(a + b x \right)}}{16 b^{2} d - d^{3}} + \frac{2 b d e^{c} e^{d x} \sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{16 b^{2} d - d^{3}} + \frac{2 b d e^{c} e^{d x} \sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{16 b^{2} d - d^{3}} - \frac{d^{2} e^{c} e^{d x} \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{16 b^{2} d - d^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*exp(c)*sinh(a)**2*cosh(a)**2, Eq(b, 0) & Eq(d, 0)), (x*exp(c)*exp(d*x)*sinh(a - d*x/4)**4/16 + x*exp(c)*exp(d*x)*sinh(a - d*x/4)**3*cosh(a - d*x/4)/4 + 3*x*exp(c)*exp(d*x)*sinh(a - d*x/4)**2*cosh(a - d*x/4)**2/8 + x*exp(c)*exp(d*x)*sinh(a - d*x/4)*cosh(a - d*x/4)**3/4 + x*exp(c)*exp(d*x)*cosh(a - d*x/4)**4/16 - exp(c)*exp(d*x)*sinh(a - d*x/4)**4/(6*d) - 5*exp(c)*exp(d*x)*sinh(a - d*x/4)**3*cosh(a - d*x/4)/(12*d) - 5*exp(c)*exp(d*x)*sinh(a - d*x/4)*cosh(a - d*x/4)**3/(12*d) - exp(c)*exp(d*x)*cosh(a - d*x/4)**4/(6*d), Eq(b, -d/4)), (x*exp(c)*exp(d*x)*sinh(a + d*x/4)**4/16 - x*exp(c)*exp(d*x)*sinh(a + d*x/4)**3*cosh(a + d*x/4)/4 + 3*x*exp(c)*exp(d*x)*sinh(a + d*x/4)**2*cosh(a + d*x/4)**2/8 - x*exp(c)*exp(d*x)*sinh(a + d*x/4)*cosh(a + d*x/4)**3/4 + x*exp(c)*exp(d*x)*cosh(a + d*x/4)**4/16 - exp(c)*exp(d*x)*sinh(a + d*x/4)**4/(6*d) + 5*exp(c)*exp(d*x)*sinh(a + d*x/4)**3*cosh(a + d*x/4)/(12*d) + 5*exp(c)*exp(d*x)*sinh(a + d*x/4)*cosh(a + d*x/4)**3/(12*d) - exp(c)*exp(d*x)*cosh(a + d*x/4)**4/(6*d), Eq(b, d/4)), ((-x*sinh(a + b*x)**4/8 + x*sinh(a + b*x)**2*cosh(a + b*x)**2/4 - x*cosh(a + b*x)**4/8 + sinh(a + b*x)**3*cosh(a + b*x)/(8*b) + sinh(a + b*x)*cosh(a + b*x)**3/(8*b))*exp(c), Eq(d, 0)), (-2*b**2*exp(c)*exp(d*x)*sinh(a + b*x)**4/(16*b**2*d - d**3) + 4*b**2*exp(c)*exp(d*x)*sinh(a + b*x)**2*cosh(a + b*x)**2/(16*b**2*d - d**3) - 2*b**2*exp(c)*exp(d*x)*cosh(a + b*x)**4/(16*b**2*d - d**3) + 2*b*d*exp(c)*exp(d*x)*sinh(a + b*x)**3*cosh(a + b*x)/(16*b**2*d - d**3) + 2*b*d*exp(c)*exp(d*x)*sinh(a + b*x)*cosh(a + b*x)**3/(16*b**2*d - d**3) - d**2*exp(c)*exp(d*x)*sinh(a + b*x)**2*cosh(a + b*x)**2/(16*b**2*d - d**3), True))","A",0
954,1,972,0,42.140827," ","integrate(exp(d*x+c)*cosh(b*x+a)**2*sinh(b*x+a),x)","\begin{cases} x e^{c} \sinh{\left(a \right)} \cosh^{2}{\left(a \right)} & \text{for}\: b = 0 \wedge d = 0 \\- \frac{x e^{c} e^{d x} \sinh^{3}{\left(a - d x \right)}}{8} - \frac{x e^{c} e^{d x} \sinh^{2}{\left(a - d x \right)} \cosh{\left(a - d x \right)}}{8} + \frac{x e^{c} e^{d x} \sinh{\left(a - d x \right)} \cosh^{2}{\left(a - d x \right)}}{8} + \frac{x e^{c} e^{d x} \cosh^{3}{\left(a - d x \right)}}{8} - \frac{e^{c} e^{d x} \sinh^{3}{\left(a - d x \right)}}{8 d} - \frac{e^{c} e^{d x} \sinh^{2}{\left(a - d x \right)} \cosh{\left(a - d x \right)}}{4 d} - \frac{e^{c} e^{d x} \cosh^{3}{\left(a - d x \right)}}{8 d} & \text{for}\: b = - d \\\frac{x e^{c} e^{d x} \sinh^{3}{\left(a - \frac{d x}{3} \right)}}{8} + \frac{3 x e^{c} e^{d x} \sinh^{2}{\left(a - \frac{d x}{3} \right)} \cosh{\left(a - \frac{d x}{3} \right)}}{8} + \frac{3 x e^{c} e^{d x} \sinh{\left(a - \frac{d x}{3} \right)} \cosh^{2}{\left(a - \frac{d x}{3} \right)}}{8} + \frac{x e^{c} e^{d x} \cosh^{3}{\left(a - \frac{d x}{3} \right)}}{8} - \frac{e^{c} e^{d x} \sinh^{3}{\left(a - \frac{d x}{3} \right)}}{8 d} + \frac{3 e^{c} e^{d x} \sinh{\left(a - \frac{d x}{3} \right)} \cosh^{2}{\left(a - \frac{d x}{3} \right)}}{4 d} + \frac{e^{c} e^{d x} \cosh^{3}{\left(a - \frac{d x}{3} \right)}}{8 d} & \text{for}\: b = - \frac{d}{3} \\\frac{x e^{c} e^{d x} \sinh^{3}{\left(a + \frac{d x}{3} \right)}}{8} - \frac{3 x e^{c} e^{d x} \sinh^{2}{\left(a + \frac{d x}{3} \right)} \cosh{\left(a + \frac{d x}{3} \right)}}{8} + \frac{3 x e^{c} e^{d x} \sinh{\left(a + \frac{d x}{3} \right)} \cosh^{2}{\left(a + \frac{d x}{3} \right)}}{8} - \frac{x e^{c} e^{d x} \cosh^{3}{\left(a + \frac{d x}{3} \right)}}{8} - \frac{3 e^{c} e^{d x} \sinh^{3}{\left(a + \frac{d x}{3} \right)}}{8 d} + \frac{3 e^{c} e^{d x} \sinh^{2}{\left(a + \frac{d x}{3} \right)} \cosh{\left(a + \frac{d x}{3} \right)}}{4 d} + \frac{e^{c} e^{d x} \cosh^{3}{\left(a + \frac{d x}{3} \right)}}{8 d} & \text{for}\: b = \frac{d}{3} \\- \frac{x e^{c} e^{d x} \sinh^{3}{\left(a + d x \right)}}{8} + \frac{x e^{c} e^{d x} \sinh^{2}{\left(a + d x \right)} \cosh{\left(a + d x \right)}}{8} + \frac{x e^{c} e^{d x} \sinh{\left(a + d x \right)} \cosh^{2}{\left(a + d x \right)}}{8} - \frac{x e^{c} e^{d x} \cosh^{3}{\left(a + d x \right)}}{8} + \frac{e^{c} e^{d x} \sinh^{3}{\left(a + d x \right)}}{8 d} - \frac{e^{c} e^{d x} \sinh{\left(a + d x \right)} \cosh^{2}{\left(a + d x \right)}}{4 d} + \frac{3 e^{c} e^{d x} \cosh^{3}{\left(a + d x \right)}}{8 d} & \text{for}\: b = d \\\frac{3 b^{3} e^{c} e^{d x} \cosh^{3}{\left(a + b x \right)}}{9 b^{4} - 10 b^{2} d^{2} + d^{4}} + \frac{2 b^{2} d e^{c} e^{d x} \sinh^{3}{\left(a + b x \right)}}{9 b^{4} - 10 b^{2} d^{2} + d^{4}} - \frac{3 b^{2} d e^{c} e^{d x} \sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{9 b^{4} - 10 b^{2} d^{2} + d^{4}} - \frac{2 b d^{2} e^{c} e^{d x} \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{9 b^{4} - 10 b^{2} d^{2} + d^{4}} - \frac{b d^{2} e^{c} e^{d x} \cosh^{3}{\left(a + b x \right)}}{9 b^{4} - 10 b^{2} d^{2} + d^{4}} + \frac{d^{3} e^{c} e^{d x} \sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{9 b^{4} - 10 b^{2} d^{2} + d^{4}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*exp(c)*sinh(a)*cosh(a)**2, Eq(b, 0) & Eq(d, 0)), (-x*exp(c)*exp(d*x)*sinh(a - d*x)**3/8 - x*exp(c)*exp(d*x)*sinh(a - d*x)**2*cosh(a - d*x)/8 + x*exp(c)*exp(d*x)*sinh(a - d*x)*cosh(a - d*x)**2/8 + x*exp(c)*exp(d*x)*cosh(a - d*x)**3/8 - exp(c)*exp(d*x)*sinh(a - d*x)**3/(8*d) - exp(c)*exp(d*x)*sinh(a - d*x)**2*cosh(a - d*x)/(4*d) - exp(c)*exp(d*x)*cosh(a - d*x)**3/(8*d), Eq(b, -d)), (x*exp(c)*exp(d*x)*sinh(a - d*x/3)**3/8 + 3*x*exp(c)*exp(d*x)*sinh(a - d*x/3)**2*cosh(a - d*x/3)/8 + 3*x*exp(c)*exp(d*x)*sinh(a - d*x/3)*cosh(a - d*x/3)**2/8 + x*exp(c)*exp(d*x)*cosh(a - d*x/3)**3/8 - exp(c)*exp(d*x)*sinh(a - d*x/3)**3/(8*d) + 3*exp(c)*exp(d*x)*sinh(a - d*x/3)*cosh(a - d*x/3)**2/(4*d) + exp(c)*exp(d*x)*cosh(a - d*x/3)**3/(8*d), Eq(b, -d/3)), (x*exp(c)*exp(d*x)*sinh(a + d*x/3)**3/8 - 3*x*exp(c)*exp(d*x)*sinh(a + d*x/3)**2*cosh(a + d*x/3)/8 + 3*x*exp(c)*exp(d*x)*sinh(a + d*x/3)*cosh(a + d*x/3)**2/8 - x*exp(c)*exp(d*x)*cosh(a + d*x/3)**3/8 - 3*exp(c)*exp(d*x)*sinh(a + d*x/3)**3/(8*d) + 3*exp(c)*exp(d*x)*sinh(a + d*x/3)**2*cosh(a + d*x/3)/(4*d) + exp(c)*exp(d*x)*cosh(a + d*x/3)**3/(8*d), Eq(b, d/3)), (-x*exp(c)*exp(d*x)*sinh(a + d*x)**3/8 + x*exp(c)*exp(d*x)*sinh(a + d*x)**2*cosh(a + d*x)/8 + x*exp(c)*exp(d*x)*sinh(a + d*x)*cosh(a + d*x)**2/8 - x*exp(c)*exp(d*x)*cosh(a + d*x)**3/8 + exp(c)*exp(d*x)*sinh(a + d*x)**3/(8*d) - exp(c)*exp(d*x)*sinh(a + d*x)*cosh(a + d*x)**2/(4*d) + 3*exp(c)*exp(d*x)*cosh(a + d*x)**3/(8*d), Eq(b, d)), (3*b**3*exp(c)*exp(d*x)*cosh(a + b*x)**3/(9*b**4 - 10*b**2*d**2 + d**4) + 2*b**2*d*exp(c)*exp(d*x)*sinh(a + b*x)**3/(9*b**4 - 10*b**2*d**2 + d**4) - 3*b**2*d*exp(c)*exp(d*x)*sinh(a + b*x)*cosh(a + b*x)**2/(9*b**4 - 10*b**2*d**2 + d**4) - 2*b*d**2*exp(c)*exp(d*x)*sinh(a + b*x)**2*cosh(a + b*x)/(9*b**4 - 10*b**2*d**2 + d**4) - b*d**2*exp(c)*exp(d*x)*cosh(a + b*x)**3/(9*b**4 - 10*b**2*d**2 + d**4) + d**3*exp(c)*exp(d*x)*sinh(a + b*x)*cosh(a + b*x)**2/(9*b**4 - 10*b**2*d**2 + d**4), True))","A",0
955,1,432,0,8.574376," ","integrate(exp(d*x+c)*cosh(b*x+a)**2,x)","\begin{cases} x e^{c} \cosh^{2}{\left(a \right)} & \text{for}\: b = 0 \wedge d = 0 \\\frac{x e^{c} e^{d x} \sinh^{2}{\left(a - \frac{d x}{2} \right)}}{4} + \frac{x e^{c} e^{d x} \sinh{\left(a - \frac{d x}{2} \right)} \cosh{\left(a - \frac{d x}{2} \right)}}{2} + \frac{x e^{c} e^{d x} \cosh^{2}{\left(a - \frac{d x}{2} \right)}}{4} + \frac{e^{c} e^{d x} \sinh{\left(a - \frac{d x}{2} \right)} \cosh{\left(a - \frac{d x}{2} \right)}}{2 d} + \frac{e^{c} e^{d x} \cosh^{2}{\left(a - \frac{d x}{2} \right)}}{d} & \text{for}\: b = - \frac{d}{2} \\\frac{x e^{c} e^{d x} \sinh^{2}{\left(a + \frac{d x}{2} \right)}}{4} - \frac{x e^{c} e^{d x} \sinh{\left(a + \frac{d x}{2} \right)} \cosh{\left(a + \frac{d x}{2} \right)}}{2} + \frac{x e^{c} e^{d x} \cosh^{2}{\left(a + \frac{d x}{2} \right)}}{4} - \frac{e^{c} e^{d x} \sinh{\left(a + \frac{d x}{2} \right)} \cosh{\left(a + \frac{d x}{2} \right)}}{2 d} + \frac{e^{c} e^{d x} \cosh^{2}{\left(a + \frac{d x}{2} \right)}}{d} & \text{for}\: b = \frac{d}{2} \\\left(- \frac{x \sinh^{2}{\left(a + b x \right)}}{2} + \frac{x \cosh^{2}{\left(a + b x \right)}}{2} + \frac{\sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{2 b}\right) e^{c} & \text{for}\: d = 0 \\- \frac{2 b^{2} e^{c} e^{d x} \sinh^{2}{\left(a + b x \right)}}{4 b^{2} d - d^{3}} + \frac{2 b^{2} e^{c} e^{d x} \cosh^{2}{\left(a + b x \right)}}{4 b^{2} d - d^{3}} + \frac{2 b d e^{c} e^{d x} \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{4 b^{2} d - d^{3}} - \frac{d^{2} e^{c} e^{d x} \cosh^{2}{\left(a + b x \right)}}{4 b^{2} d - d^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*exp(c)*cosh(a)**2, Eq(b, 0) & Eq(d, 0)), (x*exp(c)*exp(d*x)*sinh(a - d*x/2)**2/4 + x*exp(c)*exp(d*x)*sinh(a - d*x/2)*cosh(a - d*x/2)/2 + x*exp(c)*exp(d*x)*cosh(a - d*x/2)**2/4 + exp(c)*exp(d*x)*sinh(a - d*x/2)*cosh(a - d*x/2)/(2*d) + exp(c)*exp(d*x)*cosh(a - d*x/2)**2/d, Eq(b, -d/2)), (x*exp(c)*exp(d*x)*sinh(a + d*x/2)**2/4 - x*exp(c)*exp(d*x)*sinh(a + d*x/2)*cosh(a + d*x/2)/2 + x*exp(c)*exp(d*x)*cosh(a + d*x/2)**2/4 - exp(c)*exp(d*x)*sinh(a + d*x/2)*cosh(a + d*x/2)/(2*d) + exp(c)*exp(d*x)*cosh(a + d*x/2)**2/d, Eq(b, d/2)), ((-x*sinh(a + b*x)**2/2 + x*cosh(a + b*x)**2/2 + sinh(a + b*x)*cosh(a + b*x)/(2*b))*exp(c), Eq(d, 0)), (-2*b**2*exp(c)*exp(d*x)*sinh(a + b*x)**2/(4*b**2*d - d**3) + 2*b**2*exp(c)*exp(d*x)*cosh(a + b*x)**2/(4*b**2*d - d**3) + 2*b*d*exp(c)*exp(d*x)*sinh(a + b*x)*cosh(a + b*x)/(4*b**2*d - d**3) - d**2*exp(c)*exp(d*x)*cosh(a + b*x)**2/(4*b**2*d - d**3), True))","A",0
956,-1,0,0,0.000000," ","integrate(exp(d*x+c)*cosh(b*x+a)**2*csch(b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
957,-1,0,0,0.000000," ","integrate(exp(d*x+c)*cosh(b*x+a)**2*csch(b*x+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
958,-1,0,0,0.000000," ","integrate(exp(d*x+c)*cosh(b*x+a)**2*csch(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
959,-1,0,0,0.000000," ","integrate(exp(d*x+c)*cosh(b*x+a)**3*sinh(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
960,-1,0,0,0.000000," ","integrate(exp(d*x+c)*cosh(b*x+a)**3*sinh(b*x+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
961,1,1295,0,143.713232," ","integrate(exp(d*x+c)*cosh(b*x+a)**3*sinh(b*x+a),x)","\begin{cases} x e^{c} \sinh{\left(a \right)} \cosh^{3}{\left(a \right)} & \text{for}\: b = 0 \wedge d = 0 \\- \frac{x e^{c} e^{d x} \sinh^{4}{\left(a - \frac{d x}{2} \right)}}{8} - \frac{x e^{c} e^{d x} \sinh^{3}{\left(a - \frac{d x}{2} \right)} \cosh{\left(a - \frac{d x}{2} \right)}}{4} + \frac{x e^{c} e^{d x} \sinh{\left(a - \frac{d x}{2} \right)} \cosh^{3}{\left(a - \frac{d x}{2} \right)}}{4} + \frac{x e^{c} e^{d x} \cosh^{4}{\left(a - \frac{d x}{2} \right)}}{8} + \frac{e^{c} e^{d x} \sinh^{4}{\left(a - \frac{d x}{2} \right)}}{8 d} - \frac{e^{c} e^{d x} \sinh^{2}{\left(a - \frac{d x}{2} \right)} \cosh^{2}{\left(a - \frac{d x}{2} \right)}}{2 d} - \frac{e^{c} e^{d x} \sinh{\left(a - \frac{d x}{2} \right)} \cosh^{3}{\left(a - \frac{d x}{2} \right)}}{3 d} - \frac{7 e^{c} e^{d x} \cosh^{4}{\left(a - \frac{d x}{2} \right)}}{24 d} & \text{for}\: b = - \frac{d}{2} \\\frac{x e^{c} e^{d x} \sinh^{4}{\left(a - \frac{d x}{4} \right)}}{16} + \frac{x e^{c} e^{d x} \sinh^{3}{\left(a - \frac{d x}{4} \right)} \cosh{\left(a - \frac{d x}{4} \right)}}{4} + \frac{3 x e^{c} e^{d x} \sinh^{2}{\left(a - \frac{d x}{4} \right)} \cosh^{2}{\left(a - \frac{d x}{4} \right)}}{8} + \frac{x e^{c} e^{d x} \sinh{\left(a - \frac{d x}{4} \right)} \cosh^{3}{\left(a - \frac{d x}{4} \right)}}{4} + \frac{x e^{c} e^{d x} \cosh^{4}{\left(a - \frac{d x}{4} \right)}}{16} - \frac{e^{c} e^{d x} \sinh^{4}{\left(a - \frac{d x}{4} \right)}}{6 d} - \frac{5 e^{c} e^{d x} \sinh^{3}{\left(a - \frac{d x}{4} \right)} \cosh{\left(a - \frac{d x}{4} \right)}}{12 d} + \frac{11 e^{c} e^{d x} \sinh{\left(a - \frac{d x}{4} \right)} \cosh^{3}{\left(a - \frac{d x}{4} \right)}}{12 d} + \frac{e^{c} e^{d x} \cosh^{4}{\left(a - \frac{d x}{4} \right)}}{6 d} & \text{for}\: b = - \frac{d}{4} \\- \frac{x e^{c} e^{d x} \sinh^{4}{\left(a + \frac{d x}{4} \right)}}{16} + \frac{x e^{c} e^{d x} \sinh^{3}{\left(a + \frac{d x}{4} \right)} \cosh{\left(a + \frac{d x}{4} \right)}}{4} - \frac{3 x e^{c} e^{d x} \sinh^{2}{\left(a + \frac{d x}{4} \right)} \cosh^{2}{\left(a + \frac{d x}{4} \right)}}{8} + \frac{x e^{c} e^{d x} \sinh{\left(a + \frac{d x}{4} \right)} \cosh^{3}{\left(a + \frac{d x}{4} \right)}}{4} - \frac{x e^{c} e^{d x} \cosh^{4}{\left(a + \frac{d x}{4} \right)}}{16} + \frac{e^{c} e^{d x} \sinh^{4}{\left(a + \frac{d x}{4} \right)}}{6 d} - \frac{5 e^{c} e^{d x} \sinh^{3}{\left(a + \frac{d x}{4} \right)} \cosh{\left(a + \frac{d x}{4} \right)}}{12 d} + \frac{11 e^{c} e^{d x} \sinh{\left(a + \frac{d x}{4} \right)} \cosh^{3}{\left(a + \frac{d x}{4} \right)}}{12 d} - \frac{e^{c} e^{d x} \cosh^{4}{\left(a + \frac{d x}{4} \right)}}{6 d} & \text{for}\: b = \frac{d}{4} \\\frac{x e^{c} e^{d x} \sinh^{4}{\left(a + \frac{d x}{2} \right)}}{8} - \frac{x e^{c} e^{d x} \sinh^{3}{\left(a + \frac{d x}{2} \right)} \cosh{\left(a + \frac{d x}{2} \right)}}{4} + \frac{x e^{c} e^{d x} \sinh{\left(a + \frac{d x}{2} \right)} \cosh^{3}{\left(a + \frac{d x}{2} \right)}}{4} - \frac{x e^{c} e^{d x} \cosh^{4}{\left(a + \frac{d x}{2} \right)}}{8} - \frac{e^{c} e^{d x} \sinh^{4}{\left(a + \frac{d x}{2} \right)}}{8 d} + \frac{e^{c} e^{d x} \sinh^{2}{\left(a + \frac{d x}{2} \right)} \cosh^{2}{\left(a + \frac{d x}{2} \right)}}{2 d} - \frac{e^{c} e^{d x} \sinh{\left(a + \frac{d x}{2} \right)} \cosh^{3}{\left(a + \frac{d x}{2} \right)}}{3 d} + \frac{7 e^{c} e^{d x} \cosh^{4}{\left(a + \frac{d x}{2} \right)}}{24 d} & \text{for}\: b = \frac{d}{2} \\- \frac{6 b^{3} e^{c} e^{d x} \sinh^{4}{\left(a + b x \right)}}{64 b^{4} - 20 b^{2} d^{2} + d^{4}} + \frac{12 b^{3} e^{c} e^{d x} \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{64 b^{4} - 20 b^{2} d^{2} + d^{4}} + \frac{10 b^{3} e^{c} e^{d x} \cosh^{4}{\left(a + b x \right)}}{64 b^{4} - 20 b^{2} d^{2} + d^{4}} + \frac{6 b^{2} d e^{c} e^{d x} \sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{64 b^{4} - 20 b^{2} d^{2} + d^{4}} - \frac{10 b^{2} d e^{c} e^{d x} \sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{64 b^{4} - 20 b^{2} d^{2} + d^{4}} - \frac{3 b d^{2} e^{c} e^{d x} \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{64 b^{4} - 20 b^{2} d^{2} + d^{4}} - \frac{b d^{2} e^{c} e^{d x} \cosh^{4}{\left(a + b x \right)}}{64 b^{4} - 20 b^{2} d^{2} + d^{4}} + \frac{d^{3} e^{c} e^{d x} \sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{64 b^{4} - 20 b^{2} d^{2} + d^{4}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*exp(c)*sinh(a)*cosh(a)**3, Eq(b, 0) & Eq(d, 0)), (-x*exp(c)*exp(d*x)*sinh(a - d*x/2)**4/8 - x*exp(c)*exp(d*x)*sinh(a - d*x/2)**3*cosh(a - d*x/2)/4 + x*exp(c)*exp(d*x)*sinh(a - d*x/2)*cosh(a - d*x/2)**3/4 + x*exp(c)*exp(d*x)*cosh(a - d*x/2)**4/8 + exp(c)*exp(d*x)*sinh(a - d*x/2)**4/(8*d) - exp(c)*exp(d*x)*sinh(a - d*x/2)**2*cosh(a - d*x/2)**2/(2*d) - exp(c)*exp(d*x)*sinh(a - d*x/2)*cosh(a - d*x/2)**3/(3*d) - 7*exp(c)*exp(d*x)*cosh(a - d*x/2)**4/(24*d), Eq(b, -d/2)), (x*exp(c)*exp(d*x)*sinh(a - d*x/4)**4/16 + x*exp(c)*exp(d*x)*sinh(a - d*x/4)**3*cosh(a - d*x/4)/4 + 3*x*exp(c)*exp(d*x)*sinh(a - d*x/4)**2*cosh(a - d*x/4)**2/8 + x*exp(c)*exp(d*x)*sinh(a - d*x/4)*cosh(a - d*x/4)**3/4 + x*exp(c)*exp(d*x)*cosh(a - d*x/4)**4/16 - exp(c)*exp(d*x)*sinh(a - d*x/4)**4/(6*d) - 5*exp(c)*exp(d*x)*sinh(a - d*x/4)**3*cosh(a - d*x/4)/(12*d) + 11*exp(c)*exp(d*x)*sinh(a - d*x/4)*cosh(a - d*x/4)**3/(12*d) + exp(c)*exp(d*x)*cosh(a - d*x/4)**4/(6*d), Eq(b, -d/4)), (-x*exp(c)*exp(d*x)*sinh(a + d*x/4)**4/16 + x*exp(c)*exp(d*x)*sinh(a + d*x/4)**3*cosh(a + d*x/4)/4 - 3*x*exp(c)*exp(d*x)*sinh(a + d*x/4)**2*cosh(a + d*x/4)**2/8 + x*exp(c)*exp(d*x)*sinh(a + d*x/4)*cosh(a + d*x/4)**3/4 - x*exp(c)*exp(d*x)*cosh(a + d*x/4)**4/16 + exp(c)*exp(d*x)*sinh(a + d*x/4)**4/(6*d) - 5*exp(c)*exp(d*x)*sinh(a + d*x/4)**3*cosh(a + d*x/4)/(12*d) + 11*exp(c)*exp(d*x)*sinh(a + d*x/4)*cosh(a + d*x/4)**3/(12*d) - exp(c)*exp(d*x)*cosh(a + d*x/4)**4/(6*d), Eq(b, d/4)), (x*exp(c)*exp(d*x)*sinh(a + d*x/2)**4/8 - x*exp(c)*exp(d*x)*sinh(a + d*x/2)**3*cosh(a + d*x/2)/4 + x*exp(c)*exp(d*x)*sinh(a + d*x/2)*cosh(a + d*x/2)**3/4 - x*exp(c)*exp(d*x)*cosh(a + d*x/2)**4/8 - exp(c)*exp(d*x)*sinh(a + d*x/2)**4/(8*d) + exp(c)*exp(d*x)*sinh(a + d*x/2)**2*cosh(a + d*x/2)**2/(2*d) - exp(c)*exp(d*x)*sinh(a + d*x/2)*cosh(a + d*x/2)**3/(3*d) + 7*exp(c)*exp(d*x)*cosh(a + d*x/2)**4/(24*d), Eq(b, d/2)), (-6*b**3*exp(c)*exp(d*x)*sinh(a + b*x)**4/(64*b**4 - 20*b**2*d**2 + d**4) + 12*b**3*exp(c)*exp(d*x)*sinh(a + b*x)**2*cosh(a + b*x)**2/(64*b**4 - 20*b**2*d**2 + d**4) + 10*b**3*exp(c)*exp(d*x)*cosh(a + b*x)**4/(64*b**4 - 20*b**2*d**2 + d**4) + 6*b**2*d*exp(c)*exp(d*x)*sinh(a + b*x)**3*cosh(a + b*x)/(64*b**4 - 20*b**2*d**2 + d**4) - 10*b**2*d*exp(c)*exp(d*x)*sinh(a + b*x)*cosh(a + b*x)**3/(64*b**4 - 20*b**2*d**2 + d**4) - 3*b*d**2*exp(c)*exp(d*x)*sinh(a + b*x)**2*cosh(a + b*x)**2/(64*b**4 - 20*b**2*d**2 + d**4) - b*d**2*exp(c)*exp(d*x)*cosh(a + b*x)**4/(64*b**4 - 20*b**2*d**2 + d**4) + d**3*exp(c)*exp(d*x)*sinh(a + b*x)*cosh(a + b*x)**3/(64*b**4 - 20*b**2*d**2 + d**4), True))","A",0
962,1,1046,0,42.807906," ","integrate(exp(d*x+c)*cosh(b*x+a)**3,x)","\begin{cases} x e^{c} \cosh^{3}{\left(a \right)} & \text{for}\: b = 0 \wedge d = 0 \\- \frac{3 x e^{c} e^{d x} \sinh^{3}{\left(a - d x \right)}}{8} - \frac{3 x e^{c} e^{d x} \sinh^{2}{\left(a - d x \right)} \cosh{\left(a - d x \right)}}{8} + \frac{3 x e^{c} e^{d x} \sinh{\left(a - d x \right)} \cosh^{2}{\left(a - d x \right)}}{8} + \frac{3 x e^{c} e^{d x} \cosh^{3}{\left(a - d x \right)}}{8} + \frac{5 e^{c} e^{d x} \sinh^{3}{\left(a - d x \right)}}{8 d} + \frac{e^{c} e^{d x} \sinh^{2}{\left(a - d x \right)} \cosh{\left(a - d x \right)}}{4 d} - \frac{e^{c} e^{d x} \sinh{\left(a - d x \right)} \cosh^{2}{\left(a - d x \right)}}{d} - \frac{3 e^{c} e^{d x} \cosh^{3}{\left(a - d x \right)}}{8 d} & \text{for}\: b = - d \\\frac{x e^{c} e^{d x} \sinh^{3}{\left(a - \frac{d x}{3} \right)}}{8} + \frac{3 x e^{c} e^{d x} \sinh^{2}{\left(a - \frac{d x}{3} \right)} \cosh{\left(a - \frac{d x}{3} \right)}}{8} + \frac{3 x e^{c} e^{d x} \sinh{\left(a - \frac{d x}{3} \right)} \cosh^{2}{\left(a - \frac{d x}{3} \right)}}{8} + \frac{x e^{c} e^{d x} \cosh^{3}{\left(a - \frac{d x}{3} \right)}}{8} - \frac{e^{c} e^{d x} \sinh^{3}{\left(a - \frac{d x}{3} \right)}}{8 d} + \frac{3 e^{c} e^{d x} \sinh{\left(a - \frac{d x}{3} \right)} \cosh^{2}{\left(a - \frac{d x}{3} \right)}}{4 d} + \frac{9 e^{c} e^{d x} \cosh^{3}{\left(a - \frac{d x}{3} \right)}}{8 d} & \text{for}\: b = - \frac{d}{3} \\- \frac{x e^{c} e^{d x} \sinh^{3}{\left(a + \frac{d x}{3} \right)}}{8} + \frac{3 x e^{c} e^{d x} \sinh^{2}{\left(a + \frac{d x}{3} \right)} \cosh{\left(a + \frac{d x}{3} \right)}}{8} - \frac{3 x e^{c} e^{d x} \sinh{\left(a + \frac{d x}{3} \right)} \cosh^{2}{\left(a + \frac{d x}{3} \right)}}{8} + \frac{x e^{c} e^{d x} \cosh^{3}{\left(a + \frac{d x}{3} \right)}}{8} + \frac{11 e^{c} e^{d x} \sinh^{3}{\left(a + \frac{d x}{3} \right)}}{8 d} - \frac{15 e^{c} e^{d x} \sinh^{2}{\left(a + \frac{d x}{3} \right)} \cosh{\left(a + \frac{d x}{3} \right)}}{4 d} + \frac{3 e^{c} e^{d x} \sinh{\left(a + \frac{d x}{3} \right)} \cosh^{2}{\left(a + \frac{d x}{3} \right)}}{d} - \frac{e^{c} e^{d x} \cosh^{3}{\left(a + \frac{d x}{3} \right)}}{8 d} & \text{for}\: b = \frac{d}{3} \\\frac{3 x e^{c} e^{d x} \sinh^{3}{\left(a + d x \right)}}{8} - \frac{3 x e^{c} e^{d x} \sinh^{2}{\left(a + d x \right)} \cosh{\left(a + d x \right)}}{8} - \frac{3 x e^{c} e^{d x} \sinh{\left(a + d x \right)} \cosh^{2}{\left(a + d x \right)}}{8} + \frac{3 x e^{c} e^{d x} \cosh^{3}{\left(a + d x \right)}}{8} - \frac{3 e^{c} e^{d x} \sinh^{3}{\left(a + d x \right)}}{8 d} + \frac{3 e^{c} e^{d x} \sinh{\left(a + d x \right)} \cosh^{2}{\left(a + d x \right)}}{4 d} - \frac{e^{c} e^{d x} \cosh^{3}{\left(a + d x \right)}}{8 d} & \text{for}\: b = d \\- \frac{6 b^{3} e^{c} e^{d x} \sinh^{3}{\left(a + b x \right)}}{9 b^{4} - 10 b^{2} d^{2} + d^{4}} + \frac{9 b^{3} e^{c} e^{d x} \sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{9 b^{4} - 10 b^{2} d^{2} + d^{4}} + \frac{6 b^{2} d e^{c} e^{d x} \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{9 b^{4} - 10 b^{2} d^{2} + d^{4}} - \frac{7 b^{2} d e^{c} e^{d x} \cosh^{3}{\left(a + b x \right)}}{9 b^{4} - 10 b^{2} d^{2} + d^{4}} - \frac{3 b d^{2} e^{c} e^{d x} \sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{9 b^{4} - 10 b^{2} d^{2} + d^{4}} + \frac{d^{3} e^{c} e^{d x} \cosh^{3}{\left(a + b x \right)}}{9 b^{4} - 10 b^{2} d^{2} + d^{4}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*exp(c)*cosh(a)**3, Eq(b, 0) & Eq(d, 0)), (-3*x*exp(c)*exp(d*x)*sinh(a - d*x)**3/8 - 3*x*exp(c)*exp(d*x)*sinh(a - d*x)**2*cosh(a - d*x)/8 + 3*x*exp(c)*exp(d*x)*sinh(a - d*x)*cosh(a - d*x)**2/8 + 3*x*exp(c)*exp(d*x)*cosh(a - d*x)**3/8 + 5*exp(c)*exp(d*x)*sinh(a - d*x)**3/(8*d) + exp(c)*exp(d*x)*sinh(a - d*x)**2*cosh(a - d*x)/(4*d) - exp(c)*exp(d*x)*sinh(a - d*x)*cosh(a - d*x)**2/d - 3*exp(c)*exp(d*x)*cosh(a - d*x)**3/(8*d), Eq(b, -d)), (x*exp(c)*exp(d*x)*sinh(a - d*x/3)**3/8 + 3*x*exp(c)*exp(d*x)*sinh(a - d*x/3)**2*cosh(a - d*x/3)/8 + 3*x*exp(c)*exp(d*x)*sinh(a - d*x/3)*cosh(a - d*x/3)**2/8 + x*exp(c)*exp(d*x)*cosh(a - d*x/3)**3/8 - exp(c)*exp(d*x)*sinh(a - d*x/3)**3/(8*d) + 3*exp(c)*exp(d*x)*sinh(a - d*x/3)*cosh(a - d*x/3)**2/(4*d) + 9*exp(c)*exp(d*x)*cosh(a - d*x/3)**3/(8*d), Eq(b, -d/3)), (-x*exp(c)*exp(d*x)*sinh(a + d*x/3)**3/8 + 3*x*exp(c)*exp(d*x)*sinh(a + d*x/3)**2*cosh(a + d*x/3)/8 - 3*x*exp(c)*exp(d*x)*sinh(a + d*x/3)*cosh(a + d*x/3)**2/8 + x*exp(c)*exp(d*x)*cosh(a + d*x/3)**3/8 + 11*exp(c)*exp(d*x)*sinh(a + d*x/3)**3/(8*d) - 15*exp(c)*exp(d*x)*sinh(a + d*x/3)**2*cosh(a + d*x/3)/(4*d) + 3*exp(c)*exp(d*x)*sinh(a + d*x/3)*cosh(a + d*x/3)**2/d - exp(c)*exp(d*x)*cosh(a + d*x/3)**3/(8*d), Eq(b, d/3)), (3*x*exp(c)*exp(d*x)*sinh(a + d*x)**3/8 - 3*x*exp(c)*exp(d*x)*sinh(a + d*x)**2*cosh(a + d*x)/8 - 3*x*exp(c)*exp(d*x)*sinh(a + d*x)*cosh(a + d*x)**2/8 + 3*x*exp(c)*exp(d*x)*cosh(a + d*x)**3/8 - 3*exp(c)*exp(d*x)*sinh(a + d*x)**3/(8*d) + 3*exp(c)*exp(d*x)*sinh(a + d*x)*cosh(a + d*x)**2/(4*d) - exp(c)*exp(d*x)*cosh(a + d*x)**3/(8*d), Eq(b, d)), (-6*b**3*exp(c)*exp(d*x)*sinh(a + b*x)**3/(9*b**4 - 10*b**2*d**2 + d**4) + 9*b**3*exp(c)*exp(d*x)*sinh(a + b*x)*cosh(a + b*x)**2/(9*b**4 - 10*b**2*d**2 + d**4) + 6*b**2*d*exp(c)*exp(d*x)*sinh(a + b*x)**2*cosh(a + b*x)/(9*b**4 - 10*b**2*d**2 + d**4) - 7*b**2*d*exp(c)*exp(d*x)*cosh(a + b*x)**3/(9*b**4 - 10*b**2*d**2 + d**4) - 3*b*d**2*exp(c)*exp(d*x)*sinh(a + b*x)*cosh(a + b*x)**2/(9*b**4 - 10*b**2*d**2 + d**4) + d**3*exp(c)*exp(d*x)*cosh(a + b*x)**3/(9*b**4 - 10*b**2*d**2 + d**4), True))","A",0
963,-1,0,0,0.000000," ","integrate(exp(d*x+c)*cosh(b*x+a)**3*csch(b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
964,-1,0,0,0.000000," ","integrate(exp(d*x+c)*cosh(b*x+a)**3*csch(b*x+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
965,-1,0,0,0.000000," ","integrate(exp(d*x+c)*cosh(b*x+a)**3*csch(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
966,0,0,0,0.000000," ","integrate(exp(b*x+a)*sinh(d*x+c)**(3/2)-3/4*d**2*exp(b*x+a)/(b**2-9/4*d**2)/sinh(d*x+c)**(1/2),x)","\frac{\left(\int 4 b^{2} e^{b x} \sinh^{\frac{3}{2}}{\left(c + d x \right)}\, dx + \int \left(- \frac{3 d^{2} e^{b x}}{\sqrt{\sinh{\left(c + d x \right)}}}\right)\, dx + \int \left(- 9 d^{2} e^{b x} \sinh^{\frac{3}{2}}{\left(c + d x \right)}\right)\, dx\right) e^{a}}{\left(2 b - 3 d\right) \left(2 b + 3 d\right)}"," ",0,"(Integral(4*b**2*exp(b*x)*sinh(c + d*x)**(3/2), x) + Integral(-3*d**2*exp(b*x)/sqrt(sinh(c + d*x)), x) + Integral(-9*d**2*exp(b*x)*sinh(c + d*x)**(3/2), x))*exp(a)/((2*b - 3*d)*(2*b + 3*d))","F",0
967,1,36,0,0.434205," ","integrate(exp(n*cosh(b*x+a))*sinh(b*x+a),x)","\begin{cases} x \sinh{\left(a \right)} & \text{for}\: b = 0 \wedge n = 0 \\x e^{n \cosh{\left(a \right)}} \sinh{\left(a \right)} & \text{for}\: b = 0 \\\frac{\cosh{\left(a + b x \right)}}{b} & \text{for}\: n = 0 \\\frac{e^{n \cosh{\left(a + b x \right)}}}{b n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*sinh(a), Eq(b, 0) & Eq(n, 0)), (x*exp(n*cosh(a))*sinh(a), Eq(b, 0)), (cosh(a + b*x)/b, Eq(n, 0)), (exp(n*cosh(a + b*x))/(b*n), True))","A",0
968,0,0,0,0.000000," ","integrate(exp(n*cosh(b*c*x+a*c))*sinh(c*(b*x+a)),x)","\int e^{n \cosh{\left(a c + b c x \right)}} \sinh{\left(a c + b c x \right)}\, dx"," ",0,"Integral(exp(n*cosh(a*c + b*c*x))*sinh(a*c + b*c*x), x)","F",0
969,1,51,0,2.447526," ","integrate(exp(n*cosh(c*(b*x+a)))*sinh(b*c*x+a*c),x)","\begin{cases} 0 & \text{for}\: c = 0 \wedge \left(b = 0 \vee c = 0\right) \wedge \left(c = 0 \vee n = 0\right) \\x e^{n \cosh{\left(a c \right)}} \sinh{\left(a c \right)} & \text{for}\: b = 0 \\\frac{\cosh{\left(a c + b c x \right)}}{b c} & \text{for}\: n = 0 \\\frac{e^{n \cosh{\left(a c + b c x \right)}}}{b c n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((0, Eq(c, 0) & (Eq(b, 0) | Eq(c, 0)) & (Eq(c, 0) | Eq(n, 0))), (x*exp(n*cosh(a*c))*sinh(a*c), Eq(b, 0)), (cosh(a*c + b*c*x)/(b*c), Eq(n, 0)), (exp(n*cosh(a*c + b*c*x))/(b*c*n), True))","A",0
970,0,0,0,0.000000," ","integrate(exp(n*cosh(b*x+a))*tanh(b*x+a),x)","\int e^{n \cosh{\left(a + b x \right)}} \tanh{\left(a + b x \right)}\, dx"," ",0,"Integral(exp(n*cosh(a + b*x))*tanh(a + b*x), x)","F",0
971,0,0,0,0.000000," ","integrate(exp(n*cosh(b*c*x+a*c))*tanh(c*(b*x+a)),x)","\int e^{n \cosh{\left(a c + b c x \right)}} \tanh{\left(a c + b c x \right)}\, dx"," ",0,"Integral(exp(n*cosh(a*c + b*c*x))*tanh(a*c + b*c*x), x)","F",0
972,0,0,0,0.000000," ","integrate(exp(n*cosh(c*(b*x+a)))*tanh(b*c*x+a*c),x)","\int e^{n \cosh{\left(a c + b c x \right)}} \tanh{\left(a c + b c x \right)}\, dx"," ",0,"Integral(exp(n*cosh(a*c + b*c*x))*tanh(a*c + b*c*x), x)","F",0
973,1,36,0,0.424298," ","integrate(exp(n*sinh(b*x+a))*cosh(b*x+a),x)","\begin{cases} x \cosh{\left(a \right)} & \text{for}\: b = 0 \wedge n = 0 \\x e^{n \sinh{\left(a \right)}} \cosh{\left(a \right)} & \text{for}\: b = 0 \\\frac{\sinh{\left(a + b x \right)}}{b} & \text{for}\: n = 0 \\\frac{e^{n \sinh{\left(a + b x \right)}}}{b n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*cosh(a), Eq(b, 0) & Eq(n, 0)), (x*exp(n*sinh(a))*cosh(a), Eq(b, 0)), (sinh(a + b*x)/b, Eq(n, 0)), (exp(n*sinh(a + b*x))/(b*n), True))","A",0
974,0,0,0,0.000000," ","integrate(exp(n*sinh(b*c*x+a*c))*cosh(c*(b*x+a)),x)","\int e^{n \sinh{\left(a c + b c x \right)}} \cosh{\left(a c + b c x \right)}\, dx"," ",0,"Integral(exp(n*sinh(a*c + b*c*x))*cosh(a*c + b*c*x), x)","F",0
975,1,51,0,2.271620," ","integrate(exp(n*sinh(c*(b*x+a)))*cosh(b*c*x+a*c),x)","\begin{cases} x & \text{for}\: c = 0 \wedge \left(b = 0 \vee c = 0\right) \wedge \left(c = 0 \vee n = 0\right) \\x e^{n \sinh{\left(a c \right)}} \cosh{\left(a c \right)} & \text{for}\: b = 0 \\\frac{\sinh{\left(a c + b c x \right)}}{b c} & \text{for}\: n = 0 \\\frac{e^{n \sinh{\left(a c + b c x \right)}}}{b c n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x, Eq(c, 0) & (Eq(b, 0) | Eq(c, 0)) & (Eq(c, 0) | Eq(n, 0))), (x*exp(n*sinh(a*c))*cosh(a*c), Eq(b, 0)), (sinh(a*c + b*c*x)/(b*c), Eq(n, 0)), (exp(n*sinh(a*c + b*c*x))/(b*c*n), True))","A",0
976,0,0,0,0.000000," ","integrate(exp(n*sinh(b*x+a))*coth(b*x+a),x)","\int e^{n \sinh{\left(a + b x \right)}} \coth{\left(a + b x \right)}\, dx"," ",0,"Integral(exp(n*sinh(a + b*x))*coth(a + b*x), x)","F",0
977,0,0,0,0.000000," ","integrate(exp(n*sinh(b*c*x+a*c))*coth(c*(b*x+a)),x)","\int e^{n \sinh{\left(a c + b c x \right)}} \coth{\left(a c + b c x \right)}\, dx"," ",0,"Integral(exp(n*sinh(a*c + b*c*x))*coth(a*c + b*c*x), x)","F",0
978,0,0,0,0.000000," ","integrate(exp(n*sinh(c*(b*x+a)))*coth(b*c*x+a*c),x)","\int e^{n \sinh{\left(a c + b c x \right)}} \coth{\left(a c + b c x \right)}\, dx"," ",0,"Integral(exp(n*sinh(a*c + b*c*x))*coth(a*c + b*c*x), x)","F",0
979,0,0,0,0.000000," ","integrate(sech(x)**2/(a+b*tanh(x)),x)","\int \frac{\operatorname{sech}^{2}{\left(x \right)}}{a + b \tanh{\left(x \right)}}\, dx"," ",0,"Integral(sech(x)**2/(a + b*tanh(x)), x)","F",0
980,0,0,0,0.000000," ","integrate(sech(x)**2/(1+tanh(x)**2),x)","\int \frac{\operatorname{sech}^{2}{\left(x \right)}}{\tanh^{2}{\left(x \right)} + 1}\, dx"," ",0,"Integral(sech(x)**2/(tanh(x)**2 + 1), x)","F",0
981,0,0,0,0.000000," ","integrate(sech(x)**2/(9+tanh(x)**2),x)","\int \frac{\operatorname{sech}^{2}{\left(x \right)}}{\tanh^{2}{\left(x \right)} + 9}\, dx"," ",0,"Integral(sech(x)**2/(tanh(x)**2 + 9), x)","F",0
982,0,0,0,0.000000," ","integrate(sech(x)**2*(a+b*tanh(x))**n,x)","\int \left(a + b \tanh{\left(x \right)}\right)^{n} \operatorname{sech}^{2}{\left(x \right)}\, dx"," ",0,"Integral((a + b*tanh(x))**n*sech(x)**2, x)","F",0
983,1,29,0,0.810633," ","integrate(sech(x)**2*(1+1/(1-tanh(x)**2)),x)","- \frac{x \operatorname{sech}^{2}{\left(x \right)}}{\tanh^{2}{\left(x \right)} - 1} - \frac{\tanh{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)}}{\tanh^{2}{\left(x \right)} - 1}"," ",0,"-x*sech(x)**2/(tanh(x)**2 - 1) - tanh(x)*sech(x)**2/(tanh(x)**2 - 1)","B",0
984,1,29,0,0.805510," ","integrate(sech(x)**2*(2-tanh(x)**2)/(1-tanh(x)**2),x)","- \frac{x \operatorname{sech}^{2}{\left(x \right)}}{\tanh^{2}{\left(x \right)} - 1} - \frac{\tanh{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)}}{\tanh^{2}{\left(x \right)} - 1}"," ",0,"-x*sech(x)**2/(tanh(x)**2 - 1) - tanh(x)*sech(x)**2/(tanh(x)**2 - 1)","B",0
985,0,0,0,0.000000," ","integrate(sech(x)**2/(2+2*tanh(x)+tanh(x)**2),x)","\int \frac{\operatorname{sech}^{2}{\left(x \right)}}{\tanh^{2}{\left(x \right)} + 2 \tanh{\left(x \right)} + 2}\, dx"," ",0,"Integral(sech(x)**2/(tanh(x)**2 + 2*tanh(x) + 2), x)","F",0
986,0,0,0,0.000000," ","integrate(sech(x)**2/(tanh(x)**2+tanh(x)**3),x)","\int \frac{\operatorname{sech}^{2}{\left(x \right)}}{\left(\tanh{\left(x \right)} + 1\right) \tanh^{2}{\left(x \right)}}\, dx"," ",0,"Integral(sech(x)**2/((tanh(x) + 1)*tanh(x)**2), x)","F",0
987,0,0,0,0.000000," ","integrate(sech(x)**2/(-tanh(x)**2+tanh(x)**3),x)","\int \frac{\operatorname{sech}^{2}{\left(x \right)}}{\left(\tanh{\left(x \right)} - 1\right) \tanh^{2}{\left(x \right)}}\, dx"," ",0,"Integral(sech(x)**2/((tanh(x) - 1)*tanh(x)**2), x)","F",0
988,0,0,0,0.000000," ","integrate(sech(x)**2/(3-4*tanh(x)**3),x)","- \int \frac{\operatorname{sech}^{2}{\left(x \right)}}{4 \tanh^{3}{\left(x \right)} - 3}\, dx"," ",0,"-Integral(sech(x)**2/(4*tanh(x)**3 - 3), x)","F",0
989,0,0,0,0.000000," ","integrate(sech(x)**2/(11-5*tanh(x)+5*tanh(x)**2),x)","\int \frac{\operatorname{sech}^{2}{\left(x \right)}}{5 \tanh^{2}{\left(x \right)} - 5 \tanh{\left(x \right)} + 11}\, dx"," ",0,"Integral(sech(x)**2/(5*tanh(x)**2 - 5*tanh(x) + 11), x)","F",0
990,0,0,0,0.000000," ","integrate(sech(x)**2*(a+b*tanh(x))/(c+d*tanh(x)),x)","\int \frac{\left(a + b \tanh{\left(x \right)}\right) \operatorname{sech}^{2}{\left(x \right)}}{c + d \tanh{\left(x \right)}}\, dx"," ",0,"Integral((a + b*tanh(x))*sech(x)**2/(c + d*tanh(x)), x)","F",0
991,0,0,0,0.000000," ","integrate(sech(x)**2*(a+b*tanh(x))**2/(c+d*tanh(x)),x)","\int \frac{\left(a + b \tanh{\left(x \right)}\right)^{2} \operatorname{sech}^{2}{\left(x \right)}}{c + d \tanh{\left(x \right)}}\, dx"," ",0,"Integral((a + b*tanh(x))**2*sech(x)**2/(c + d*tanh(x)), x)","F",0
992,0,0,0,0.000000," ","integrate(sech(x)**2*(a+b*tanh(x))**3/(c+d*tanh(x)),x)","\int \frac{\left(a + b \tanh{\left(x \right)}\right)^{3} \operatorname{sech}^{2}{\left(x \right)}}{c + d \tanh{\left(x \right)}}\, dx"," ",0,"Integral((a + b*tanh(x))**3*sech(x)**2/(c + d*tanh(x)), x)","F",0
993,-1,0,0,0.000000," ","integrate(sech(x)**2*tanh(x)**2/(2+tanh(x)**3)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
994,0,0,0,0.000000," ","integrate(sech(x)**2*tanh(x)**6*(1-tanh(x)**2)**3,x)","- \int \left(- \tanh^{6}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)}\right)\, dx - \int 3 \tanh^{8}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)}\, dx - \int \left(- 3 \tanh^{10}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)}\right)\, dx - \int \tanh^{12}{\left(x \right)} \operatorname{sech}^{2}{\left(x \right)}\, dx"," ",0,"-Integral(-tanh(x)**6*sech(x)**2, x) - Integral(3*tanh(x)**8*sech(x)**2, x) - Integral(-3*tanh(x)**10*sech(x)**2, x) - Integral(tanh(x)**12*sech(x)**2, x)","F",0
995,0,0,0,0.000000," ","integrate(sech(x)**2*(2+tanh(x)**2)/(1+tanh(x)**3),x)","\int \frac{\left(\tanh^{2}{\left(x \right)} + 2\right) \operatorname{sech}^{2}{\left(x \right)}}{\left(\tanh{\left(x \right)} + 1\right) \left(\tanh^{2}{\left(x \right)} - \tanh{\left(x \right)} + 1\right)}\, dx"," ",0,"Integral((tanh(x)**2 + 2)*sech(x)**2/((tanh(x) + 1)*(tanh(x)**2 - tanh(x) + 1)), x)","F",0
996,0,0,0,0.000000," ","integrate((1+cosh(x)**2)*sech(x)**2,x)","\int \left(\cosh^{2}{\left(x \right)} + 1\right) \operatorname{sech}^{2}{\left(x \right)}\, dx"," ",0,"Integral((cosh(x)**2 + 1)*sech(x)**2, x)","F",0
997,0,0,0,0.000000," ","integrate(sech(x)**2/(1+sech(x)**2-3*tanh(x)),x)","\int \frac{\operatorname{sech}^{2}{\left(x \right)}}{- 3 \tanh{\left(x \right)} + \operatorname{sech}^{2}{\left(x \right)} + 1}\, dx"," ",0,"Integral(sech(x)**2/(-3*tanh(x) + sech(x)**2 + 1), x)","F",0
998,0,0,0,0.000000," ","integrate(sech(x)**2/(4-sech(x)**2)**(1/2),x)","\int \frac{\operatorname{sech}^{2}{\left(x \right)}}{\sqrt{- \left(\operatorname{sech}{\left(x \right)} - 2\right) \left(\operatorname{sech}{\left(x \right)} + 2\right)}}\, dx"," ",0,"Integral(sech(x)**2/sqrt(-(sech(x) - 2)*(sech(x) + 2)), x)","F",0
999,0,0,0,0.000000," ","integrate(sech(x)**2/(1-4*tanh(x)**2)**(1/2),x)","\int \frac{\operatorname{sech}^{2}{\left(x \right)}}{\sqrt{- \left(2 \tanh{\left(x \right)} - 1\right) \left(2 \tanh{\left(x \right)} + 1\right)}}\, dx"," ",0,"Integral(sech(x)**2/sqrt(-(2*tanh(x) - 1)*(2*tanh(x) + 1)), x)","F",0
1000,0,0,0,0.000000," ","integrate(sech(x)**2/(-4+tanh(x)**2)**(1/2),x)","\int \frac{\operatorname{sech}^{2}{\left(x \right)}}{\sqrt{\left(\tanh{\left(x \right)} - 2\right) \left(\tanh{\left(x \right)} + 2\right)}}\, dx"," ",0,"Integral(sech(x)**2/sqrt((tanh(x) - 2)*(tanh(x) + 2)), x)","F",0
1001,0,0,0,0.000000," ","integrate(sech(x)**2*(1+coth(x)**2)**(1/2),x)","\int \sqrt{\coth^{2}{\left(x \right)} + 1} \operatorname{sech}^{2}{\left(x \right)}\, dx"," ",0,"Integral(sqrt(coth(x)**2 + 1)*sech(x)**2, x)","F",0
1002,0,0,0,0.000000," ","integrate(sech(x)**2*(1+tanh(x)**2)**(1/2),x)","\int \sqrt{\tanh^{2}{\left(x \right)} + 1} \operatorname{sech}^{2}{\left(x \right)}\, dx"," ",0,"Integral(sqrt(tanh(x)**2 + 1)*sech(x)**2, x)","F",0
1003,1,19,0,6.581073," ","integrate(sech(x)**4*(-1+sech(x)**2)**2*tanh(x),x)","- \frac{\operatorname{sech}^{8}{\left(x \right)}}{8} + \frac{\operatorname{sech}^{6}{\left(x \right)}}{3} - \frac{\operatorname{sech}^{4}{\left(x \right)}}{4}"," ",0,"-sech(x)**8/8 + sech(x)**6/3 - sech(x)**4/4","A",0
1004,0,0,0,0.000000," ","integrate(exp(n*sinh(b*x+a))*sinh(2*b*x+2*a),x)","\int e^{n \sinh{\left(a + b x \right)}} \sinh{\left(2 a + 2 b x \right)}\, dx"," ",0,"Integral(exp(n*sinh(a + b*x))*sinh(2*a + 2*b*x), x)","F",0
1005,0,0,0,0.000000," ","integrate(exp(n*sinh(b*x+a))*sinh(2*b*x+2*a),x)","\int e^{n \sinh{\left(a + b x \right)}} \sinh{\left(2 a + 2 b x \right)}\, dx"," ",0,"Integral(exp(n*sinh(a + b*x))*sinh(2*a + 2*b*x), x)","F",0
1006,0,0,0,0.000000," ","integrate(exp(n*sinh(1/2*a+1/2*b*x))*sinh(b*x+a),x)","\int e^{n \sinh{\left(\frac{a}{2} + \frac{b x}{2} \right)}} \sinh{\left(a + b x \right)}\, dx"," ",0,"Integral(exp(n*sinh(a/2 + b*x/2))*sinh(a + b*x), x)","F",0
1007,0,0,0,0.000000," ","integrate(exp(n*sinh(1/2*a+1/2*b*x))*sinh(b*x+a),x)","\int e^{n \sinh{\left(\frac{a}{2} + \frac{b x}{2} \right)}} \sinh{\left(a + b x \right)}\, dx"," ",0,"Integral(exp(n*sinh(a/2 + b*x/2))*sinh(a + b*x), x)","F",0
1008,0,0,0,0.000000," ","integrate(exp(n*cosh(b*x+a))*sinh(2*b*x+2*a),x)","\int e^{n \cosh{\left(a + b x \right)}} \sinh{\left(2 a + 2 b x \right)}\, dx"," ",0,"Integral(exp(n*cosh(a + b*x))*sinh(2*a + 2*b*x), x)","F",0
1009,0,0,0,0.000000," ","integrate(exp(n*cosh(b*x+a))*sinh(2*b*x+2*a),x)","\int e^{n \cosh{\left(a + b x \right)}} \sinh{\left(2 a + 2 b x \right)}\, dx"," ",0,"Integral(exp(n*cosh(a + b*x))*sinh(2*a + 2*b*x), x)","F",0
1010,0,0,0,0.000000," ","integrate(exp(n*cosh(1/2*a+1/2*b*x))*sinh(b*x+a),x)","\int e^{n \cosh{\left(\frac{a}{2} + \frac{b x}{2} \right)}} \sinh{\left(a + b x \right)}\, dx"," ",0,"Integral(exp(n*cosh(a/2 + b*x/2))*sinh(a + b*x), x)","F",0
1011,0,0,0,0.000000," ","integrate(exp(n*cosh(1/2*a+1/2*b*x))*sinh(b*x+a),x)","\int e^{n \cosh{\left(\frac{a}{2} + \frac{b x}{2} \right)}} \sinh{\left(a + b x \right)}\, dx"," ",0,"Integral(exp(n*cosh(a/2 + b*x/2))*sinh(a + b*x), x)","F",0
1012,0,0,0,0.000000," ","integrate(csch(x)*ln(tanh(x))*sech(x),x)","\int \log{\left(\tanh{\left(x \right)} \right)} \operatorname{csch}{\left(x \right)} \operatorname{sech}{\left(x \right)}\, dx"," ",0,"Integral(log(tanh(x))*csch(x)*sech(x), x)","F",0
1013,0,0,0,0.000000," ","integrate(csch(2*x)*ln(tanh(x)),x)","\int \log{\left(\tanh{\left(x \right)} \right)} \operatorname{csch}{\left(2 x \right)}\, dx"," ",0,"Integral(log(tanh(x))*csch(2*x), x)","F",0
1014,0,0,0,0.000000," ","integrate(cosh(b*x+a)*F(c,d,sinh(b*x+a),r,s),x)","\int F{\left(c,d,\sinh{\left(a + b x \right)},r,s \right)} \cosh{\left(a + b x \right)}\, dx"," ",0,"Integral(F(c, d, sinh(a + b*x), r, s)*cosh(a + b*x), x)","F",0
1015,0,0,0,0.000000," ","integrate(F(c,d,cosh(b*x+a),r,s)*sinh(b*x+a),x)","\int F{\left(c,d,\cosh{\left(a + b x \right)},r,s \right)} \sinh{\left(a + b x \right)}\, dx"," ",0,"Integral(F(c, d, cosh(a + b*x), r, s)*sinh(a + b*x), x)","F",0
1016,0,0,0,0.000000," ","integrate(F(c,d,tanh(b*x+a),r,s)*sech(b*x+a)**2,x)","\int F{\left(c,d,\tanh{\left(a + b x \right)},r,s \right)} \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(F(c, d, tanh(a + b*x), r, s)*sech(a + b*x)**2, x)","F",0
1017,0,0,0,0.000000," ","integrate(csch(b*x+a)**2*F(c,d,coth(b*x+a),r,s),x)","\int F{\left(c,d,\coth{\left(a + b x \right)},r,s \right)} \operatorname{csch}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(F(c, d, coth(a + b*x), r, s)*csch(a + b*x)**2, x)","F",0
1018,1,12,0,0.502367," ","integrate(sech(x)*(5-11*sech(x)**2)*tanh(x),x)","\frac{11 \operatorname{sech}^{3}{\left(x \right)}}{3} - 5 \operatorname{sech}{\left(x \right)}"," ",0,"11*sech(x)**3/3 - 5*sech(x)","A",0
1019,0,0,0,0.000000," ","integrate(csch(x)**2/(a+b*coth(x)),x)","\int \frac{\operatorname{csch}^{2}{\left(x \right)}}{a + b \coth{\left(x \right)}}\, dx"," ",0,"Integral(csch(x)**2/(a + b*coth(x)), x)","F",0
1020,0,0,0,0.000000," ","integrate((a+b*coth(x))**n*csch(x)**2,x)","\int \left(a + b \coth{\left(x \right)}\right)^{n} \operatorname{csch}^{2}{\left(x \right)}\, dx"," ",0,"Integral((a + b*coth(x))**n*csch(x)**2, x)","F",0
1021,0,0,0,0.000000," ","integrate(csch(x)**2*(-1+sinh(x)**2),x)","\int \left(\sinh{\left(x \right)} - 1\right) \left(\sinh{\left(x \right)} + 1\right) \operatorname{csch}^{2}{\left(x \right)}\, dx"," ",0,"Integral((sinh(x) - 1)*(sinh(x) + 1)*csch(x)**2, x)","F",0
1022,0,0,0,0.000000," ","integrate((-1-1/(1-coth(x)**2))*csch(x)**2,x)","- \int \left(- \frac{2 \operatorname{csch}^{2}{\left(x \right)}}{\coth^{2}{\left(x \right)} - 1}\right)\, dx - \int \frac{\coth^{2}{\left(x \right)} \operatorname{csch}^{2}{\left(x \right)}}{\coth^{2}{\left(x \right)} - 1}\, dx"," ",0,"-Integral(-2*csch(x)**2/(coth(x)**2 - 1), x) - Integral(coth(x)**2*csch(x)**2/(coth(x)**2 - 1), x)","F",0
1023,0,0,0,0.000000," ","integrate((a+b*coth(x))*csch(x)**2/(c+d*coth(x)),x)","\int \frac{\left(a + b \coth{\left(x \right)}\right) \operatorname{csch}^{2}{\left(x \right)}}{c + d \coth{\left(x \right)}}\, dx"," ",0,"Integral((a + b*coth(x))*csch(x)**2/(c + d*coth(x)), x)","F",0
1024,0,0,0,0.000000," ","integrate((a+b*coth(x))**2*csch(x)**2/(c+d*coth(x)),x)","\int \frac{\left(a + b \coth{\left(x \right)}\right)^{2} \operatorname{csch}^{2}{\left(x \right)}}{c + d \coth{\left(x \right)}}\, dx"," ",0,"Integral((a + b*coth(x))**2*csch(x)**2/(c + d*coth(x)), x)","F",0
1025,0,0,0,0.000000," ","integrate((a+b*coth(x))**3*csch(x)**2/(c+d*coth(x)),x)","\int \frac{\left(a + b \coth{\left(x \right)}\right)^{3} \operatorname{csch}^{2}{\left(x \right)}}{c + d \coth{\left(x \right)}}\, dx"," ",0,"Integral((a + b*coth(x))**3*csch(x)**2/(c + d*coth(x)), x)","F",0
1026,1,44,0,10.715744," ","integrate(cosh(x)**3*(a+b*cosh(x)**2)**3*sinh(x),x)","\frac{a^{3} \cosh^{4}{\left(x \right)}}{4} + \frac{a^{2} b \cosh^{6}{\left(x \right)}}{2} + \frac{3 a b^{2} \cosh^{8}{\left(x \right)}}{8} + \frac{b^{3} \cosh^{10}{\left(x \right)}}{10}"," ",0,"a**3*cosh(x)**4/4 + a**2*b*cosh(x)**6/2 + 3*a*b**2*cosh(x)**8/8 + b**3*cosh(x)**10/10","A",0
1027,1,44,0,10.836400," ","integrate(cosh(x)*sinh(x)**3*(a+b*sinh(x)**2)**3,x)","\frac{a^{3} \sinh^{4}{\left(x \right)}}{4} + \frac{a^{2} b \sinh^{6}{\left(x \right)}}{2} + \frac{3 a b^{2} \sinh^{8}{\left(x \right)}}{8} + \frac{b^{3} \sinh^{10}{\left(x \right)}}{10}"," ",0,"a**3*sinh(x)**4/4 + a**2*b*sinh(x)**6/2 + 3*a*b**2*sinh(x)**8/8 + b**3*sinh(x)**10/10","A",0
1028,1,46,0,1.318394," ","integrate(cosh(x)*sinh(x)*(a+b*sinh(x)**2)**(1/2),x)","\begin{cases} \frac{a \sqrt{a + b \sinh^{2}{\left(x \right)}}}{3 b} + \frac{\sqrt{a + b \sinh^{2}{\left(x \right)}} \sinh^{2}{\left(x \right)}}{3} & \text{for}\: b \neq 0 \\\frac{\sqrt{a} \cosh^{2}{\left(x \right)}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*sqrt(a + b*sinh(x)**2)/(3*b) + sqrt(a + b*sinh(x)**2)*sinh(x)**2/3, Ne(b, 0)), (sqrt(a)*cosh(x)**2/2, True))","A",0
1029,0,0,0,0.000000," ","integrate(csch(x)*sech(x)*(1+ln(coth(x))**2)**(1/2),x)","\int \sqrt{\log{\left(\coth{\left(x \right)} \right)}^{2} + 1} \operatorname{csch}{\left(x \right)} \operatorname{sech}{\left(x \right)}\, dx"," ",0,"Integral(sqrt(log(coth(x))**2 + 1)*csch(x)*sech(x), x)","F",0
1030,0,0,0,0.000000," ","integrate(coth(x**(1/2))*csch(x**(1/2))/x**(1/2),x)","\int \frac{\coth{\left(\sqrt{x} \right)} \operatorname{csch}{\left(\sqrt{x} \right)}}{\sqrt{x}}\, dx"," ",0,"Integral(coth(sqrt(x))*csch(sqrt(x))/sqrt(x), x)","F",0
1031,1,7,0,0.271894," ","integrate(cosh(x**(1/2))*sinh(x**(1/2))/x**(1/2),x)","\sinh^{2}{\left(\sqrt{x} \right)}"," ",0,"sinh(sqrt(x))**2","A",0
1032,1,8,0,0.321727," ","integrate(sech(x**(1/2))*tanh(x**(1/2))/x**(1/2),x)","- 2 \operatorname{sech}{\left(\sqrt{x} \right)}"," ",0,"-2*sech(sqrt(x))","A",0
1033,0,0,0,0.000000," ","integrate(sinh(x)**2/(a+b*sinh(2*x)),x)","\int \frac{\sinh^{2}{\left(x \right)}}{a + b \sinh{\left(2 x \right)}}\, dx"," ",0,"Integral(sinh(x)**2/(a + b*sinh(2*x)), x)","F",0
1034,0,0,0,0.000000," ","integrate(cosh(x)**2/(a+b*sinh(2*x)),x)","\int \frac{\cosh^{2}{\left(x \right)}}{a + b \sinh{\left(2 x \right)}}\, dx"," ",0,"Integral(cosh(x)**2/(a + b*sinh(2*x)), x)","F",0
1035,0,0,0,0.000000," ","integrate(sinh(x)**2/(a+b*cosh(2*x)),x)","\int \frac{\sinh^{2}{\left(x \right)}}{a + b \cosh{\left(2 x \right)}}\, dx"," ",0,"Integral(sinh(x)**2/(a + b*cosh(2*x)), x)","F",0
1036,0,0,0,0.000000," ","integrate(cosh(x)**2/(a+b*cosh(2*x)),x)","\int \frac{\cosh^{2}{\left(x \right)}}{a + b \cosh{\left(2 x \right)}}\, dx"," ",0,"Integral(cosh(x)**2/(a + b*cosh(2*x)), x)","F",0
1037,0,0,0,0.000000," ","integrate(tanh(d*x+c)/(a*sinh(d*x+c)**2)**(1/2),x)","\int \frac{\tanh{\left(c + d x \right)}}{\sqrt{a \sinh^{2}{\left(c + d x \right)}}}\, dx"," ",0,"Integral(tanh(c + d*x)/sqrt(a*sinh(c + d*x)**2), x)","F",0
1038,0,0,0,0.000000," ","integrate(coth(d*x+c)/(a*cosh(d*x+c)**2)**(1/2),x)","\int \frac{\coth{\left(c + d x \right)}}{\sqrt{a \cosh^{2}{\left(c + d x \right)}}}\, dx"," ",0,"Integral(coth(c + d*x)/sqrt(a*cosh(c + d*x)**2), x)","F",0
1039,0,0,0,0.000000," ","integrate(x*cosh(2*x)*sech(x),x)","\int x \cosh{\left(2 x \right)} \operatorname{sech}{\left(x \right)}\, dx"," ",0,"Integral(x*cosh(2*x)*sech(x), x)","F",0
1040,0,0,0,0.000000," ","integrate(x*cosh(2*x)*sech(x)**2,x)","\int x \cosh{\left(2 x \right)} \operatorname{sech}^{2}{\left(x \right)}\, dx"," ",0,"Integral(x*cosh(2*x)*sech(x)**2, x)","F",0
1041,0,0,0,0.000000," ","integrate(x*cosh(2*x)*sech(x)**3,x)","\int x \cosh{\left(2 x \right)} \operatorname{sech}^{3}{\left(x \right)}\, dx"," ",0,"Integral(x*cosh(2*x)*sech(x)**3, x)","F",0
1042,-1,0,0,0.000000," ","integrate(csch(x)**(1/2)*(x*cosh(x)-4*sech(x)*tanh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1043,1,31,0,0.172551," ","integrate(sinh(x)*(cosh(x)+sinh(x)),x)","\frac{x \sinh^{2}{\left(x \right)}}{2} - \frac{x \cosh^{2}{\left(x \right)}}{2} + \frac{\sinh{\left(x \right)} \cosh{\left(x \right)}}{2} + \frac{\cosh^{2}{\left(x \right)}}{2}"," ",0,"x*sinh(x)**2/2 - x*cosh(x)**2/2 + sinh(x)*cosh(x)/2 + cosh(x)**2/2","A",0
1044,1,381,0,1.182846," ","integrate((1+sinh(x)**2)/(1+cosh(x)+sinh(x)),x)","- \frac{x \tanh^{3}{\left(\frac{x}{2} \right)}}{4 \tanh^{3}{\left(\frac{x}{2} \right)} + 4 \tanh^{2}{\left(\frac{x}{2} \right)} - 4 \tanh{\left(\frac{x}{2} \right)} - 4} - \frac{x \tanh^{2}{\left(\frac{x}{2} \right)}}{4 \tanh^{3}{\left(\frac{x}{2} \right)} + 4 \tanh^{2}{\left(\frac{x}{2} \right)} - 4 \tanh{\left(\frac{x}{2} \right)} - 4} + \frac{x \tanh{\left(\frac{x}{2} \right)}}{4 \tanh^{3}{\left(\frac{x}{2} \right)} + 4 \tanh^{2}{\left(\frac{x}{2} \right)} - 4 \tanh{\left(\frac{x}{2} \right)} - 4} + \frac{x}{4 \tanh^{3}{\left(\frac{x}{2} \right)} + 4 \tanh^{2}{\left(\frac{x}{2} \right)} - 4 \tanh{\left(\frac{x}{2} \right)} - 4} + \frac{4 \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh^{3}{\left(\frac{x}{2} \right)}}{4 \tanh^{3}{\left(\frac{x}{2} \right)} + 4 \tanh^{2}{\left(\frac{x}{2} \right)} - 4 \tanh{\left(\frac{x}{2} \right)} - 4} + \frac{4 \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh^{2}{\left(\frac{x}{2} \right)}}{4 \tanh^{3}{\left(\frac{x}{2} \right)} + 4 \tanh^{2}{\left(\frac{x}{2} \right)} - 4 \tanh{\left(\frac{x}{2} \right)} - 4} - \frac{4 \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh{\left(\frac{x}{2} \right)}}{4 \tanh^{3}{\left(\frac{x}{2} \right)} + 4 \tanh^{2}{\left(\frac{x}{2} \right)} - 4 \tanh{\left(\frac{x}{2} \right)} - 4} - \frac{4 \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{4 \tanh^{3}{\left(\frac{x}{2} \right)} + 4 \tanh^{2}{\left(\frac{x}{2} \right)} - 4 \tanh{\left(\frac{x}{2} \right)} - 4} + \frac{2 \tanh^{2}{\left(\frac{x}{2} \right)}}{4 \tanh^{3}{\left(\frac{x}{2} \right)} + 4 \tanh^{2}{\left(\frac{x}{2} \right)} - 4 \tanh{\left(\frac{x}{2} \right)} - 4} - \frac{6 \tanh{\left(\frac{x}{2} \right)}}{4 \tanh^{3}{\left(\frac{x}{2} \right)} + 4 \tanh^{2}{\left(\frac{x}{2} \right)} - 4 \tanh{\left(\frac{x}{2} \right)} - 4} - \frac{4}{4 \tanh^{3}{\left(\frac{x}{2} \right)} + 4 \tanh^{2}{\left(\frac{x}{2} \right)} - 4 \tanh{\left(\frac{x}{2} \right)} - 4}"," ",0,"-x*tanh(x/2)**3/(4*tanh(x/2)**3 + 4*tanh(x/2)**2 - 4*tanh(x/2) - 4) - x*tanh(x/2)**2/(4*tanh(x/2)**3 + 4*tanh(x/2)**2 - 4*tanh(x/2) - 4) + x*tanh(x/2)/(4*tanh(x/2)**3 + 4*tanh(x/2)**2 - 4*tanh(x/2) - 4) + x/(4*tanh(x/2)**3 + 4*tanh(x/2)**2 - 4*tanh(x/2) - 4) + 4*log(tanh(x/2) + 1)*tanh(x/2)**3/(4*tanh(x/2)**3 + 4*tanh(x/2)**2 - 4*tanh(x/2) - 4) + 4*log(tanh(x/2) + 1)*tanh(x/2)**2/(4*tanh(x/2)**3 + 4*tanh(x/2)**2 - 4*tanh(x/2) - 4) - 4*log(tanh(x/2) + 1)*tanh(x/2)/(4*tanh(x/2)**3 + 4*tanh(x/2)**2 - 4*tanh(x/2) - 4) - 4*log(tanh(x/2) + 1)/(4*tanh(x/2)**3 + 4*tanh(x/2)**2 - 4*tanh(x/2) - 4) + 2*tanh(x/2)**2/(4*tanh(x/2)**3 + 4*tanh(x/2)**2 - 4*tanh(x/2) - 4) - 6*tanh(x/2)/(4*tanh(x/2)**3 + 4*tanh(x/2)**2 - 4*tanh(x/2) - 4) - 4/(4*tanh(x/2)**3 + 4*tanh(x/2)**2 - 4*tanh(x/2) - 4)","B",0
1045,1,241,0,68.207944," ","integrate(x**5*cosh(b*x**3+a)**7*sinh(b*x**3+a),x)","\begin{cases} - \frac{35 x^{3} \sinh^{8}{\left(a + b x^{3} \right)}}{3072 b} + \frac{35 x^{3} \sinh^{6}{\left(a + b x^{3} \right)} \cosh^{2}{\left(a + b x^{3} \right)}}{768 b} - \frac{35 x^{3} \sinh^{4}{\left(a + b x^{3} \right)} \cosh^{4}{\left(a + b x^{3} \right)}}{512 b} + \frac{35 x^{3} \sinh^{2}{\left(a + b x^{3} \right)} \cosh^{6}{\left(a + b x^{3} \right)}}{768 b} + \frac{31 x^{3} \cosh^{8}{\left(a + b x^{3} \right)}}{1024 b} + \frac{35 \sinh^{7}{\left(a + b x^{3} \right)} \cosh{\left(a + b x^{3} \right)}}{3072 b^{2}} - \frac{385 \sinh^{5}{\left(a + b x^{3} \right)} \cosh^{3}{\left(a + b x^{3} \right)}}{9216 b^{2}} + \frac{511 \sinh^{3}{\left(a + b x^{3} \right)} \cosh^{5}{\left(a + b x^{3} \right)}}{9216 b^{2}} - \frac{31 \sinh{\left(a + b x^{3} \right)} \cosh^{7}{\left(a + b x^{3} \right)}}{1024 b^{2}} & \text{for}\: b \neq 0 \\\frac{x^{6} \sinh{\left(a \right)} \cosh^{7}{\left(a \right)}}{6} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-35*x**3*sinh(a + b*x**3)**8/(3072*b) + 35*x**3*sinh(a + b*x**3)**6*cosh(a + b*x**3)**2/(768*b) - 35*x**3*sinh(a + b*x**3)**4*cosh(a + b*x**3)**4/(512*b) + 35*x**3*sinh(a + b*x**3)**2*cosh(a + b*x**3)**6/(768*b) + 31*x**3*cosh(a + b*x**3)**8/(1024*b) + 35*sinh(a + b*x**3)**7*cosh(a + b*x**3)/(3072*b**2) - 385*sinh(a + b*x**3)**5*cosh(a + b*x**3)**3/(9216*b**2) + 511*sinh(a + b*x**3)**3*cosh(a + b*x**3)**5/(9216*b**2) - 31*sinh(a + b*x**3)*cosh(a + b*x**3)**7/(1024*b**2), Ne(b, 0)), (x**6*sinh(a)*cosh(a)**7/6, True))","A",0
1046,0,0,0,0.000000," ","integrate(cosh(x)**2/(1+exp(x)),x)","\int \frac{\cosh^{2}{\left(x \right)}}{e^{x} + 1}\, dx"," ",0,"Integral(cosh(x)**2/(exp(x) + 1), x)","F",0
1047,0,0,0,0.000000," ","integrate(sech(x)*(1+sech(x))**(1/2)*tanh(x)**3,x)","\int \sqrt{\operatorname{sech}{\left(x \right)} + 1} \tanh^{3}{\left(x \right)} \operatorname{sech}{\left(x \right)}\, dx"," ",0,"Integral(sqrt(sech(x) + 1)*tanh(x)**3*sech(x), x)","F",0
1048,0,0,0,0.000000," ","integrate(coth(x)**3*csch(x)*(1+csch(x))**(1/2),x)","\int \sqrt{\operatorname{csch}{\left(x \right)} + 1} \coth^{3}{\left(x \right)} \operatorname{csch}{\left(x \right)}\, dx"," ",0,"Integral(sqrt(csch(x) + 1)*coth(x)**3*csch(x), x)","F",0
1049,0,0,0,0.000000," ","integrate(cosh(x)**x*(ln(cosh(x))+x*tanh(x)),x)","\int \left(x \tanh{\left(x \right)} + \log{\left(\cosh{\left(x \right)} \right)}\right) \cosh^{x}{\left(x \right)}\, dx"," ",0,"Integral((x*tanh(x) + log(cosh(x)))*cosh(x)**x, x)","F",0
1050,1,94,0,4.800037," ","integrate(F**(b*x+a)*(cosh(d*x+c)+sinh(d*x+c))**n,x)","\begin{cases} \frac{F^{a} F^{b x} \left(\sinh{\left(c + d x \right)} + \cosh{\left(c + d x \right)}\right)^{n}}{b \log{\left(F \right)} + d n} & \text{for}\: b \neq - \frac{d n}{\log{\left(F \right)}} \\F^{a} x \left(\sinh{\left(c + d x \right)} + \cosh{\left(c + d x \right)}\right)^{n} e^{- d n x} + \frac{F^{a} \left(\sinh{\left(c + d x \right)} + \cosh{\left(c + d x \right)}\right)^{n} e^{- d n x}}{d n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((F**a*F**(b*x)*(sinh(c + d*x) + cosh(c + d*x))**n/(b*log(F) + d*n), Ne(b, -d*n/log(F))), (F**a*x*(sinh(c + d*x) + cosh(c + d*x))**n*exp(-d*n*x) + F**a*(sinh(c + d*x) + cosh(c + d*x))**n*exp(-d*n*x)/(d*n), True))","A",0
1051,1,92,0,4.998096," ","integrate(F**(b*x+a)*(cosh(d*x+c)-sinh(d*x+c))**n,x)","\begin{cases} \frac{F^{a} F^{b x} \left(- \sinh{\left(c + d x \right)} + \cosh{\left(c + d x \right)}\right)^{n}}{b \log{\left(F \right)} - d n} & \text{for}\: b \neq \frac{d n}{\log{\left(F \right)}} \\F^{a} x \left(- \sinh{\left(c + d x \right)} + \cosh{\left(c + d x \right)}\right)^{n} e^{d n x} - \frac{F^{a} \left(- \sinh{\left(c + d x \right)} + \cosh{\left(c + d x \right)}\right)^{n} e^{d n x}}{d n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((F**a*F**(b*x)*(-sinh(c + d*x) + cosh(c + d*x))**n/(b*log(F) - d*n), Ne(b, d*n/log(F))), (F**a*x*(-sinh(c + d*x) + cosh(c + d*x))**n*exp(d*n*x) - F**a*(-sinh(c + d*x) + cosh(c + d*x))**n*exp(d*n*x)/(d*n), True))","A",0
1052,1,100,0,22.707746," ","integrate((cosh(b*x+a)**4-sinh(b*x+a)**4)/(cosh(b*x+a)**4+sinh(b*x+a)**4),x)","\begin{cases} \frac{x \left(- \sinh^{4}{\left(a \right)} + \cosh^{4}{\left(a \right)}\right)}{\sinh^{4}{\left(a \right)} + \cosh^{4}{\left(a \right)}} & \text{for}\: b = 0 \\- x & \text{for}\: a = \log{\left(- i e^{- b x} \right)} \vee a = \log{\left(i e^{- b x} \right)} \\\frac{\sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} \sinh{\left(a + b x \right)}}{\cosh{\left(a + b x \right)}} - 1 \right)}}{2 b} + \frac{\sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} \sinh{\left(a + b x \right)}}{\cosh{\left(a + b x \right)}} + 1 \right)}}{2 b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*(-sinh(a)**4 + cosh(a)**4)/(sinh(a)**4 + cosh(a)**4), Eq(b, 0)), (-x, Eq(a, log(I*exp(-b*x))) | Eq(a, log(-I*exp(-b*x)))), (sqrt(2)*atan(sqrt(2)*sinh(a + b*x)/cosh(a + b*x) - 1)/(2*b) + sqrt(2)*atan(sqrt(2)*sinh(a + b*x)/cosh(a + b*x) + 1)/(2*b), True))","A",0
1053,1,197,0,15.236342," ","integrate((cosh(b*x+a)**3-sinh(b*x+a)**3)/(cosh(b*x+a)**3+sinh(b*x+a)**3),x)","\begin{cases} - x & \text{for}\: a = \log{\left(- i e^{- b x} \right)} \vee a = \log{\left(i e^{- b x} \right)} \\\frac{x \left(- \sinh^{3}{\left(a \right)} + \cosh^{3}{\left(a \right)}\right)}{\sinh^{3}{\left(a \right)} + \cosh^{3}{\left(a \right)}} & \text{for}\: b = 0 \\\frac{4 \sqrt{3} \sinh{\left(a + b x \right)} \operatorname{atan}{\left(\frac{2 \sqrt{3} \sinh{\left(a + b x \right)}}{3 \cosh{\left(a + b x \right)}} - \frac{\sqrt{3}}{3} \right)}}{9 b \sinh{\left(a + b x \right)} + 9 b \cosh{\left(a + b x \right)}} + \frac{3 \sinh{\left(a + b x \right)}}{9 b \sinh{\left(a + b x \right)} + 9 b \cosh{\left(a + b x \right)}} + \frac{4 \sqrt{3} \cosh{\left(a + b x \right)} \operatorname{atan}{\left(\frac{2 \sqrt{3} \sinh{\left(a + b x \right)}}{3 \cosh{\left(a + b x \right)}} - \frac{\sqrt{3}}{3} \right)}}{9 b \sinh{\left(a + b x \right)} + 9 b \cosh{\left(a + b x \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-x, Eq(a, log(I*exp(-b*x))) | Eq(a, log(-I*exp(-b*x)))), (x*(-sinh(a)**3 + cosh(a)**3)/(sinh(a)**3 + cosh(a)**3), Eq(b, 0)), (4*sqrt(3)*sinh(a + b*x)*atan(2*sqrt(3)*sinh(a + b*x)/(3*cosh(a + b*x)) - sqrt(3)/3)/(9*b*sinh(a + b*x) + 9*b*cosh(a + b*x)) + 3*sinh(a + b*x)/(9*b*sinh(a + b*x) + 9*b*cosh(a + b*x)) + 4*sqrt(3)*cosh(a + b*x)*atan(2*sqrt(3)*sinh(a + b*x)/(3*cosh(a + b*x)) - sqrt(3)/3)/(9*b*sinh(a + b*x) + 9*b*cosh(a + b*x)), True))","A",0
1054,1,56,0,2.241792," ","integrate((cosh(b*x+a)**2-sinh(b*x+a)**2)/(cosh(b*x+a)**2+sinh(b*x+a)**2),x)","\begin{cases} \frac{x \left(- \sinh^{2}{\left(a \right)} + \cosh^{2}{\left(a \right)}\right)}{\sinh^{2}{\left(a \right)} + \cosh^{2}{\left(a \right)}} & \text{for}\: b = 0 \\- x & \text{for}\: a = \log{\left(- i e^{- b x} \right)} \vee a = \log{\left(i e^{- b x} \right)} \\\frac{\operatorname{atan}{\left(\frac{\sinh{\left(a + b x \right)}}{\cosh{\left(a + b x \right)}} \right)}}{b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*(-sinh(a)**2 + cosh(a)**2)/(sinh(a)**2 + cosh(a)**2), Eq(b, 0)), (-x, Eq(a, log(I*exp(-b*x))) | Eq(a, log(-I*exp(-b*x)))), (atan(sinh(a + b*x)/cosh(a + b*x))/b, True))","A",0
1055,1,37,0,0.414114," ","integrate((cosh(b*x+a)-sinh(b*x+a))/(cosh(b*x+a)+sinh(b*x+a)),x)","\begin{cases} \frac{\sinh{\left(a + b x \right)}}{b \sinh{\left(a + b x \right)} + b \cosh{\left(a + b x \right)}} & \text{for}\: b \neq 0 \\\frac{x \left(- \sinh{\left(a \right)} + \cosh{\left(a \right)}\right)}{\sinh{\left(a \right)} + \cosh{\left(a \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((sinh(a + b*x)/(b*sinh(a + b*x) + b*cosh(a + b*x)), Ne(b, 0)), (x*(-sinh(a) + cosh(a))/(sinh(a) + cosh(a)), True))","A",0
1056,0,0,0,0.000000," ","integrate((-csch(b*x+a)+sech(b*x+a))/(csch(b*x+a)+sech(b*x+a)),x)","- \int \frac{\operatorname{csch}{\left(a + b x \right)}}{\operatorname{csch}{\left(a + b x \right)} + \operatorname{sech}{\left(a + b x \right)}}\, dx - \int \left(- \frac{\operatorname{sech}{\left(a + b x \right)}}{\operatorname{csch}{\left(a + b x \right)} + \operatorname{sech}{\left(a + b x \right)}}\right)\, dx"," ",0,"-Integral(csch(a + b*x)/(csch(a + b*x) + sech(a + b*x)), x) - Integral(-sech(a + b*x)/(csch(a + b*x) + sech(a + b*x)), x)","F",0
1057,0,0,0,0.000000," ","integrate((-csch(b*x+a)**2+sech(b*x+a)**2)/(csch(b*x+a)**2+sech(b*x+a)**2),x)","- \int \frac{\operatorname{csch}^{2}{\left(a + b x \right)}}{\operatorname{csch}^{2}{\left(a + b x \right)} + \operatorname{sech}^{2}{\left(a + b x \right)}}\, dx - \int \left(- \frac{\operatorname{sech}^{2}{\left(a + b x \right)}}{\operatorname{csch}^{2}{\left(a + b x \right)} + \operatorname{sech}^{2}{\left(a + b x \right)}}\right)\, dx"," ",0,"-Integral(csch(a + b*x)**2/(csch(a + b*x)**2 + sech(a + b*x)**2), x) - Integral(-sech(a + b*x)**2/(csch(a + b*x)**2 + sech(a + b*x)**2), x)","F",0
1058,0,0,0,0.000000," ","integrate((-csch(b*x+a)**3+sech(b*x+a)**3)/(csch(b*x+a)**3+sech(b*x+a)**3),x)","- \int \frac{\operatorname{csch}^{3}{\left(a + b x \right)}}{\operatorname{csch}^{3}{\left(a + b x \right)} + \operatorname{sech}^{3}{\left(a + b x \right)}}\, dx - \int \left(- \frac{\operatorname{sech}^{3}{\left(a + b x \right)}}{\operatorname{csch}^{3}{\left(a + b x \right)} + \operatorname{sech}^{3}{\left(a + b x \right)}}\right)\, dx"," ",0,"-Integral(csch(a + b*x)**3/(csch(a + b*x)**3 + sech(a + b*x)**3), x) - Integral(-sech(a + b*x)**3/(csch(a + b*x)**3 + sech(a + b*x)**3), x)","F",0
1059,0,0,0,0.000000," ","integrate((-csch(b*x+a)**4+sech(b*x+a)**4)/(csch(b*x+a)**4+sech(b*x+a)**4),x)","- \int \frac{\operatorname{csch}^{4}{\left(a + b x \right)}}{\operatorname{csch}^{4}{\left(a + b x \right)} + \operatorname{sech}^{4}{\left(a + b x \right)}}\, dx - \int \left(- \frac{\operatorname{sech}^{4}{\left(a + b x \right)}}{\operatorname{csch}^{4}{\left(a + b x \right)} + \operatorname{sech}^{4}{\left(a + b x \right)}}\right)\, dx"," ",0,"-Integral(csch(a + b*x)**4/(csch(a + b*x)**4 + sech(a + b*x)**4), x) - Integral(-sech(a + b*x)**4/(csch(a + b*x)**4 + sech(a + b*x)**4), x)","F",0
