1,1,153,0,2.262655," ","integrate(sinh(x)**4/(a-a*cosh(x)**2),x)","\frac{x \tanh^{4}{\left(\frac{x}{2} \right)}}{2 a \tanh^{4}{\left(\frac{x}{2} \right)} - 4 a \tanh^{2}{\left(\frac{x}{2} \right)} + 2 a} - \frac{2 x \tanh^{2}{\left(\frac{x}{2} \right)}}{2 a \tanh^{4}{\left(\frac{x}{2} \right)} - 4 a \tanh^{2}{\left(\frac{x}{2} \right)} + 2 a} + \frac{x}{2 a \tanh^{4}{\left(\frac{x}{2} \right)} - 4 a \tanh^{2}{\left(\frac{x}{2} \right)} + 2 a} - \frac{2 \tanh^{3}{\left(\frac{x}{2} \right)}}{2 a \tanh^{4}{\left(\frac{x}{2} \right)} - 4 a \tanh^{2}{\left(\frac{x}{2} \right)} + 2 a} - \frac{2 \tanh{\left(\frac{x}{2} \right)}}{2 a \tanh^{4}{\left(\frac{x}{2} \right)} - 4 a \tanh^{2}{\left(\frac{x}{2} \right)} + 2 a}"," ",0,"x*tanh(x/2)**4/(2*a*tanh(x/2)**4 - 4*a*tanh(x/2)**2 + 2*a) - 2*x*tanh(x/2)**2/(2*a*tanh(x/2)**4 - 4*a*tanh(x/2)**2 + 2*a) + x/(2*a*tanh(x/2)**4 - 4*a*tanh(x/2)**2 + 2*a) - 2*tanh(x/2)**3/(2*a*tanh(x/2)**4 - 4*a*tanh(x/2)**2 + 2*a) - 2*tanh(x/2)/(2*a*tanh(x/2)**4 - 4*a*tanh(x/2)**2 + 2*a)","B",0
2,1,10,0,1.301086," ","integrate(sinh(x)**3/(a-a*cosh(x)**2),x)","\frac{2}{a \tanh^{2}{\left(\frac{x}{2} \right)} - a}"," ",0,"2/(a*tanh(x/2)**2 - a)","A",0
3,1,3,0,0.760336," ","integrate(sinh(x)**2/(a-a*cosh(x)**2),x)","- \frac{x}{a}"," ",0,"-x/a","A",0
4,0,0,0,0.000000," ","integrate(csch(x)**2/(a-a*cosh(x)**2),x)","- \frac{\int \frac{\operatorname{csch}^{2}{\left(x \right)}}{\cosh^{2}{\left(x \right)} - 1}\, dx}{a}"," ",0,"-Integral(csch(x)**2/(cosh(x)**2 - 1), x)/a","F",0
5,0,0,0,0.000000," ","integrate(csch(x)**4/(a-a*cosh(x)**2),x)","- \frac{\int \frac{\operatorname{csch}^{4}{\left(x \right)}}{\cosh^{2}{\left(x \right)} - 1}\, dx}{a}"," ",0,"-Integral(csch(x)**4/(cosh(x)**2 - 1), x)/a","F",0
6,-1,0,0,0.000000," ","integrate(sinh(x)**7/(a+b*cosh(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
7,-1,0,0,0.000000," ","integrate(sinh(x)**5/(a+b*cosh(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
8,-1,0,0,0.000000," ","integrate(sinh(x)**3/(a+b*cosh(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
9,1,87,0,1.062487," ","integrate(sinh(x)/(a+b*cosh(x)**2),x)","\begin{cases} \frac{\tilde{\infty}}{\cosh{\left(x \right)}} & \text{for}\: a = 0 \wedge b = 0 \\- \frac{1}{b \cosh{\left(x \right)}} & \text{for}\: a = 0 \\\frac{\cosh{\left(x \right)}}{a} & \text{for}\: b = 0 \\- \frac{i \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \cosh{\left(x \right)} \right)}}{2 \sqrt{a} b \sqrt{\frac{1}{b}}} + \frac{i \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \cosh{\left(x \right)} \right)}}{2 \sqrt{a} b \sqrt{\frac{1}{b}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo/cosh(x), Eq(a, 0) & Eq(b, 0)), (-1/(b*cosh(x)), Eq(a, 0)), (cosh(x)/a, Eq(b, 0)), (-I*log(-I*sqrt(a)*sqrt(1/b) + cosh(x))/(2*sqrt(a)*b*sqrt(1/b)) + I*log(I*sqrt(a)*sqrt(1/b) + cosh(x))/(2*sqrt(a)*b*sqrt(1/b)), True))","A",0
10,0,0,0,0.000000," ","integrate(csch(x)/(a+b*cosh(x)**2),x)","\int \frac{\operatorname{csch}{\left(x \right)}}{a + b \cosh^{2}{\left(x \right)}}\, dx"," ",0,"Integral(csch(x)/(a + b*cosh(x)**2), x)","F",0
11,0,0,0,0.000000," ","integrate(csch(x)**3/(a+b*cosh(x)**2),x)","\int \frac{\operatorname{csch}^{3}{\left(x \right)}}{a + b \cosh^{2}{\left(x \right)}}\, dx"," ",0,"Integral(csch(x)**3/(a + b*cosh(x)**2), x)","F",0
12,-1,0,0,0.000000," ","integrate(csch(x)**5/(a+b*cosh(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
13,-1,0,0,0.000000," ","integrate(sinh(x)**6/(a+b*cosh(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
14,-1,0,0,0.000000," ","integrate(sinh(x)**4/(a+b*cosh(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
15,-1,0,0,0.000000," ","integrate(sinh(x)**2/(a+b*cosh(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
16,1,12026,0,46.720454," ","integrate(1/(a+b*cosh(x)**2),x)","\begin{cases} \frac{\tilde{\infty} \tanh{\left(\frac{x}{2} \right)}}{\tanh^{2}{\left(\frac{x}{2} \right)} + 1} & \text{for}\: a = 0 \wedge b = 0 \\\frac{2 \tanh{\left(\frac{x}{2} \right)}}{b \left(\tanh^{2}{\left(\frac{x}{2} \right)} + 1\right)} & \text{for}\: a = 0 \\- \frac{\tanh{\left(\frac{x}{2} \right)}}{2 b} - \frac{1}{2 b \tanh{\left(\frac{x}{2} \right)}} & \text{for}\: a = - b \\- \frac{5 i a^{\frac{5}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(- \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} + \frac{5 i a^{\frac{5}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(\sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} - \frac{3 i a^{\frac{5}{2}} \sqrt{b} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(- \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} + \frac{3 i a^{\frac{5}{2}} \sqrt{b} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(\sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} + \frac{10 i a^{\frac{3}{2}} b^{\frac{3}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(- \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} - \frac{10 i a^{\frac{3}{2}} b^{\frac{3}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(\sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} - \frac{2 i a^{\frac{3}{2}} b^{\frac{3}{2}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(- \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} + \frac{2 i a^{\frac{3}{2}} b^{\frac{3}{2}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(\sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} - \frac{i \sqrt{a} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(- \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} + \frac{i \sqrt{a} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(\sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} + \frac{i \sqrt{a} b^{\frac{5}{2}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(- \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} - \frac{i \sqrt{a} b^{\frac{5}{2}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(\sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} - \frac{a^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(- \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} + \frac{a^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(\sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} - \frac{a^{3} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(- \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} + \frac{a^{3} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(\sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} + \frac{10 a^{2} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(- \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} - \frac{10 a^{2} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(\sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} + \frac{2 a^{2} b \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(- \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} - \frac{2 a^{2} b \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(\sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} - \frac{5 a b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(- \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} + \frac{5 a b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(\sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} + \frac{3 a b^{2} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(- \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} - \frac{3 a b^{2} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(\sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*tanh(x/2)/(tanh(x/2)**2 + 1), Eq(a, 0) & Eq(b, 0)), (2*tanh(x/2)/(b*(tanh(x/2)**2 + 1)), Eq(a, 0)), (-tanh(x/2)/(2*b) - 1/(2*b*tanh(x/2)), Eq(a, -b)), (-5*I*a**(5/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(-sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) + 5*I*a**(5/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) - 3*I*a**(5/2)*sqrt(b)*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(-sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) + 3*I*a**(5/2)*sqrt(b)*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) + 10*I*a**(3/2)*b**(3/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(-sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) - 10*I*a**(3/2)*b**(3/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) - 2*I*a**(3/2)*b**(3/2)*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(-sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) + 2*I*a**(3/2)*b**(3/2)*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) - I*sqrt(a)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(-sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) + I*sqrt(a)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) + I*sqrt(a)*b**(5/2)*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(-sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) - I*sqrt(a)*b**(5/2)*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) - a**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(-sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) + a**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) - a**3*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(-sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) + a**3*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) + 10*a**2*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(-sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) - 10*a**2*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) + 2*a**2*b*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(-sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) - 2*a**2*b*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) - 5*a*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(-sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) + 5*a*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) + 3*a*b**2*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(-sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) - 3*a*b**2*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))), True))","A",0
17,-1,0,0,0.000000," ","integrate(csch(x)**4/(a+b*cosh(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
18,-1,0,0,0.000000," ","integrate(csch(x)**6/(a+b*cosh(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
19,1,85,0,1.541423," ","integrate(sinh(x)/(4-3*cosh(x)**3),x)","- \frac{6^{\frac{2}{3}} \log{\left(\cosh{\left(x \right)} - \frac{6^{\frac{2}{3}}}{3} \right)}}{36} + \frac{6^{\frac{2}{3}} \log{\left(36 \cosh^{2}{\left(x \right)} + 12 \cdot 6^{\frac{2}{3}} \cosh{\left(x \right)} + 24 \sqrt[3]{6} \right)}}{72} + \frac{2^{\frac{2}{3}} \sqrt[6]{3} \operatorname{atan}{\left(\frac{\sqrt[3]{2} \cdot 3^{\frac{5}{6}} \cosh{\left(x \right)}}{3} + \frac{\sqrt{3}}{3} \right)}}{12}"," ",0,"-6**(2/3)*log(cosh(x) - 6**(2/3)/3)/36 + 6**(2/3)*log(36*cosh(x)**2 + 12*6**(2/3)*cosh(x) + 24*6**(1/3))/72 + 2**(2/3)*3**(1/6)*atan(2**(1/3)*3**(5/6)*cosh(x)/3 + sqrt(3)/3)/12","A",0
20,-1,0,0,0.000000," ","integrate(cosh(x)**7/(a+b*cosh(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
21,-1,0,0,0.000000," ","integrate(cosh(x)**6/(a+b*cosh(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
22,-1,0,0,0.000000," ","integrate(cosh(x)**5/(a+b*cosh(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
23,-1,0,0,0.000000," ","integrate(cosh(x)**4/(a+b*cosh(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
24,-1,0,0,0.000000," ","integrate(cosh(x)**3/(a+b*cosh(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
25,-1,0,0,0.000000," ","integrate(cosh(x)**2/(a+b*cosh(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
26,-1,0,0,0.000000," ","integrate(cosh(x)/(a+b*cosh(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
27,1,12026,0,44.772266," ","integrate(1/(a+b*cosh(x)**2),x)","\begin{cases} \frac{\tilde{\infty} \tanh{\left(\frac{x}{2} \right)}}{\tanh^{2}{\left(\frac{x}{2} \right)} + 1} & \text{for}\: a = 0 \wedge b = 0 \\\frac{2 \tanh{\left(\frac{x}{2} \right)}}{b \left(\tanh^{2}{\left(\frac{x}{2} \right)} + 1\right)} & \text{for}\: a = 0 \\- \frac{\tanh{\left(\frac{x}{2} \right)}}{2 b} - \frac{1}{2 b \tanh{\left(\frac{x}{2} \right)}} & \text{for}\: a = - b \\- \frac{5 i a^{\frac{5}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(- \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} + \frac{5 i a^{\frac{5}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(\sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} - \frac{3 i a^{\frac{5}{2}} \sqrt{b} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(- \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} + \frac{3 i a^{\frac{5}{2}} \sqrt{b} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(\sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} + \frac{10 i a^{\frac{3}{2}} b^{\frac{3}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(- \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} - \frac{10 i a^{\frac{3}{2}} b^{\frac{3}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(\sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} - \frac{2 i a^{\frac{3}{2}} b^{\frac{3}{2}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(- \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} + \frac{2 i a^{\frac{3}{2}} b^{\frac{3}{2}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(\sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} - \frac{i \sqrt{a} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(- \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} + \frac{i \sqrt{a} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(\sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} + \frac{i \sqrt{a} b^{\frac{5}{2}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(- \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} - \frac{i \sqrt{a} b^{\frac{5}{2}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(\sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} - \frac{a^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(- \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} + \frac{a^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(\sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} - \frac{a^{3} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(- \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} + \frac{a^{3} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(\sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} + \frac{10 a^{2} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(- \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} - \frac{10 a^{2} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(\sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} + \frac{2 a^{2} b \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(- \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} - \frac{2 a^{2} b \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(\sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} - \frac{5 a b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(- \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} + \frac{5 a b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(\sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} + \frac{3 a b^{2} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(- \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} - \frac{3 a b^{2} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \log{\left(\sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{8 i a^{\frac{7}{2}} \sqrt{b} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 8 i a^{\frac{3}{2}} b^{\frac{5}{2}} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a^{4} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{3} b \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} - 10 a^{2} b^{2} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} + 2 a b^{3} \sqrt{- \frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}} \sqrt{\frac{2 i \sqrt{a} \sqrt{b}}{a + b} + \frac{a}{a + b} - \frac{b}{a + b}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*tanh(x/2)/(tanh(x/2)**2 + 1), Eq(a, 0) & Eq(b, 0)), (2*tanh(x/2)/(b*(tanh(x/2)**2 + 1)), Eq(a, 0)), (-tanh(x/2)/(2*b) - 1/(2*b*tanh(x/2)), Eq(a, -b)), (-5*I*a**(5/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(-sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) + 5*I*a**(5/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) - 3*I*a**(5/2)*sqrt(b)*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(-sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) + 3*I*a**(5/2)*sqrt(b)*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) + 10*I*a**(3/2)*b**(3/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(-sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) - 10*I*a**(3/2)*b**(3/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) - 2*I*a**(3/2)*b**(3/2)*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(-sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) + 2*I*a**(3/2)*b**(3/2)*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) - I*sqrt(a)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(-sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) + I*sqrt(a)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) + I*sqrt(a)*b**(5/2)*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(-sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) - I*sqrt(a)*b**(5/2)*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) - a**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(-sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) + a**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) - a**3*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(-sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) + a**3*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) + 10*a**2*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(-sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) - 10*a**2*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) + 2*a**2*b*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(-sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) - 2*a**2*b*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) - 5*a*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(-sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) + 5*a*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) + 3*a*b**2*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(-sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))) - 3*a*b**2*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*log(sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + tanh(x/2))/(8*I*a**(7/2)*sqrt(b)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 8*I*a**(3/2)*b**(5/2)*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a**4*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**3*b*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) - 10*a**2*b**2*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b)) + 2*a*b**3*sqrt(-2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))*sqrt(2*I*sqrt(a)*sqrt(b)/(a + b) + a/(a + b) - b/(a + b))), True))","A",0
28,0,0,0,0.000000," ","integrate(sech(x)/(a+b*cosh(x)**2),x)","\int \frac{\operatorname{sech}{\left(x \right)}}{a + b \cosh^{2}{\left(x \right)}}\, dx"," ",0,"Integral(sech(x)/(a + b*cosh(x)**2), x)","F",0
29,0,0,0,0.000000," ","integrate(sech(x)**2/(a+b*cosh(x)**2),x)","\int \frac{\operatorname{sech}^{2}{\left(x \right)}}{a + b \cosh^{2}{\left(x \right)}}\, dx"," ",0,"Integral(sech(x)**2/(a + b*cosh(x)**2), x)","F",0
30,0,0,0,0.000000," ","integrate(sech(x)**3/(a+b*cosh(x)**2),x)","\int \frac{\operatorname{sech}^{3}{\left(x \right)}}{a + b \cosh^{2}{\left(x \right)}}\, dx"," ",0,"Integral(sech(x)**3/(a + b*cosh(x)**2), x)","F",0
31,0,0,0,0.000000," ","integrate(sech(x)**4/(a+b*cosh(x)**2),x)","\int \frac{\operatorname{sech}^{4}{\left(x \right)}}{a + b \cosh^{2}{\left(x \right)}}\, dx"," ",0,"Integral(sech(x)**4/(a + b*cosh(x)**2), x)","F",0
32,-1,0,0,0.000000," ","integrate(sech(x)**5/(a+b*cosh(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
33,-1,0,0,0.000000," ","integrate(1/(a+b*cosh(x)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
34,-1,0,0,0.000000," ","integrate(1/(a+b*cosh(x)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
35,1,60,0,0.677750," ","integrate(1/(1+cosh(x)**2),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)}}{4} + \frac{\sqrt{2} \log{\left(4 \tanh^{2}{\left(\frac{x}{2} \right)} + 4 \sqrt{2} \tanh{\left(\frac{x}{2} \right)} + 4 \right)}}{4}"," ",0,"-sqrt(2)*log(4*tanh(x/2)**2 - 4*sqrt(2)*tanh(x/2) + 4)/4 + sqrt(2)*log(4*tanh(x/2)**2 + 4*sqrt(2)*tanh(x/2) + 4)/4","B",0
36,1,211,0,3.466511," ","integrate(1/(1+cosh(x)**2)**2,x)","- \frac{3 \sqrt{2} \log{\left(4 \tanh^{2}{\left(\frac{x}{2} \right)} - 4 \sqrt{2} \tanh{\left(\frac{x}{2} \right)} + 4 \right)} \tanh^{4}{\left(\frac{x}{2} \right)}}{16 \tanh^{4}{\left(\frac{x}{2} \right)} + 16} - \frac{3 \sqrt{2} \log{\left(4 \tanh^{2}{\left(\frac{x}{2} \right)} - 4 \sqrt{2} \tanh{\left(\frac{x}{2} \right)} + 4 \right)}}{16 \tanh^{4}{\left(\frac{x}{2} \right)} + 16} + \frac{3 \sqrt{2} \log{\left(4 \tanh^{2}{\left(\frac{x}{2} \right)} + 4 \sqrt{2} \tanh{\left(\frac{x}{2} \right)} + 4 \right)} \tanh^{4}{\left(\frac{x}{2} \right)}}{16 \tanh^{4}{\left(\frac{x}{2} \right)} + 16} + \frac{3 \sqrt{2} \log{\left(4 \tanh^{2}{\left(\frac{x}{2} \right)} + 4 \sqrt{2} \tanh{\left(\frac{x}{2} \right)} + 4 \right)}}{16 \tanh^{4}{\left(\frac{x}{2} \right)} + 16} - \frac{4 \tanh^{3}{\left(\frac{x}{2} \right)}}{16 \tanh^{4}{\left(\frac{x}{2} \right)} + 16} - \frac{4 \tanh{\left(\frac{x}{2} \right)}}{16 \tanh^{4}{\left(\frac{x}{2} \right)} + 16}"," ",0,"-3*sqrt(2)*log(4*tanh(x/2)**2 - 4*sqrt(2)*tanh(x/2) + 4)*tanh(x/2)**4/(16*tanh(x/2)**4 + 16) - 3*sqrt(2)*log(4*tanh(x/2)**2 - 4*sqrt(2)*tanh(x/2) + 4)/(16*tanh(x/2)**4 + 16) + 3*sqrt(2)*log(4*tanh(x/2)**2 + 4*sqrt(2)*tanh(x/2) + 4)*tanh(x/2)**4/(16*tanh(x/2)**4 + 16) + 3*sqrt(2)*log(4*tanh(x/2)**2 + 4*sqrt(2)*tanh(x/2) + 4)/(16*tanh(x/2)**4 + 16) - 4*tanh(x/2)**3/(16*tanh(x/2)**4 + 16) - 4*tanh(x/2)/(16*tanh(x/2)**4 + 16)","B",0
37,1,428,0,13.574284," ","integrate(1/(1+cosh(x)**2)**3,x)","- \frac{19 \sqrt{2} \log{\left(4 \tanh^{2}{\left(\frac{x}{2} \right)} - 4 \sqrt{2} \tanh{\left(\frac{x}{2} \right)} + 4 \right)} \tanh^{8}{\left(\frac{x}{2} \right)}}{128 \tanh^{8}{\left(\frac{x}{2} \right)} + 256 \tanh^{4}{\left(\frac{x}{2} \right)} + 128} - \frac{38 \sqrt{2} \log{\left(4 \tanh^{2}{\left(\frac{x}{2} \right)} - 4 \sqrt{2} \tanh{\left(\frac{x}{2} \right)} + 4 \right)} \tanh^{4}{\left(\frac{x}{2} \right)}}{128 \tanh^{8}{\left(\frac{x}{2} \right)} + 256 \tanh^{4}{\left(\frac{x}{2} \right)} + 128} - \frac{19 \sqrt{2} \log{\left(4 \tanh^{2}{\left(\frac{x}{2} \right)} - 4 \sqrt{2} \tanh{\left(\frac{x}{2} \right)} + 4 \right)}}{128 \tanh^{8}{\left(\frac{x}{2} \right)} + 256 \tanh^{4}{\left(\frac{x}{2} \right)} + 128} + \frac{19 \sqrt{2} \log{\left(4 \tanh^{2}{\left(\frac{x}{2} \right)} + 4 \sqrt{2} \tanh{\left(\frac{x}{2} \right)} + 4 \right)} \tanh^{8}{\left(\frac{x}{2} \right)}}{128 \tanh^{8}{\left(\frac{x}{2} \right)} + 256 \tanh^{4}{\left(\frac{x}{2} \right)} + 128} + \frac{38 \sqrt{2} \log{\left(4 \tanh^{2}{\left(\frac{x}{2} \right)} + 4 \sqrt{2} \tanh{\left(\frac{x}{2} \right)} + 4 \right)} \tanh^{4}{\left(\frac{x}{2} \right)}}{128 \tanh^{8}{\left(\frac{x}{2} \right)} + 256 \tanh^{4}{\left(\frac{x}{2} \right)} + 128} + \frac{19 \sqrt{2} \log{\left(4 \tanh^{2}{\left(\frac{x}{2} \right)} + 4 \sqrt{2} \tanh{\left(\frac{x}{2} \right)} + 4 \right)}}{128 \tanh^{8}{\left(\frac{x}{2} \right)} + 256 \tanh^{4}{\left(\frac{x}{2} \right)} + 128} - \frac{44 \tanh^{7}{\left(\frac{x}{2} \right)}}{128 \tanh^{8}{\left(\frac{x}{2} \right)} + 256 \tanh^{4}{\left(\frac{x}{2} \right)} + 128} - \frac{28 \tanh^{5}{\left(\frac{x}{2} \right)}}{128 \tanh^{8}{\left(\frac{x}{2} \right)} + 256 \tanh^{4}{\left(\frac{x}{2} \right)} + 128} - \frac{28 \tanh^{3}{\left(\frac{x}{2} \right)}}{128 \tanh^{8}{\left(\frac{x}{2} \right)} + 256 \tanh^{4}{\left(\frac{x}{2} \right)} + 128} - \frac{44 \tanh{\left(\frac{x}{2} \right)}}{128 \tanh^{8}{\left(\frac{x}{2} \right)} + 256 \tanh^{4}{\left(\frac{x}{2} \right)} + 128}"," ",0,"-19*sqrt(2)*log(4*tanh(x/2)**2 - 4*sqrt(2)*tanh(x/2) + 4)*tanh(x/2)**8/(128*tanh(x/2)**8 + 256*tanh(x/2)**4 + 128) - 38*sqrt(2)*log(4*tanh(x/2)**2 - 4*sqrt(2)*tanh(x/2) + 4)*tanh(x/2)**4/(128*tanh(x/2)**8 + 256*tanh(x/2)**4 + 128) - 19*sqrt(2)*log(4*tanh(x/2)**2 - 4*sqrt(2)*tanh(x/2) + 4)/(128*tanh(x/2)**8 + 256*tanh(x/2)**4 + 128) + 19*sqrt(2)*log(4*tanh(x/2)**2 + 4*sqrt(2)*tanh(x/2) + 4)*tanh(x/2)**8/(128*tanh(x/2)**8 + 256*tanh(x/2)**4 + 128) + 38*sqrt(2)*log(4*tanh(x/2)**2 + 4*sqrt(2)*tanh(x/2) + 4)*tanh(x/2)**4/(128*tanh(x/2)**8 + 256*tanh(x/2)**4 + 128) + 19*sqrt(2)*log(4*tanh(x/2)**2 + 4*sqrt(2)*tanh(x/2) + 4)/(128*tanh(x/2)**8 + 256*tanh(x/2)**4 + 128) - 44*tanh(x/2)**7/(128*tanh(x/2)**8 + 256*tanh(x/2)**4 + 128) - 28*tanh(x/2)**5/(128*tanh(x/2)**8 + 256*tanh(x/2)**4 + 128) - 28*tanh(x/2)**3/(128*tanh(x/2)**8 + 256*tanh(x/2)**4 + 128) - 44*tanh(x/2)/(128*tanh(x/2)**8 + 256*tanh(x/2)**4 + 128)","B",0
38,1,14,0,0.412954," ","integrate(1/(1-cosh(x)**2),x)","\frac{\tanh{\left(\frac{x}{2} \right)}}{2} + \frac{1}{2 \tanh{\left(\frac{x}{2} \right)}}"," ",0,"tanh(x/2)/2 + 1/(2*tanh(x/2))","B",0
39,1,34,0,1.093305," ","integrate(1/(1-cosh(x)**2)**2,x)","- \frac{\tanh^{3}{\left(\frac{x}{2} \right)}}{24} + \frac{3 \tanh{\left(\frac{x}{2} \right)}}{8} + \frac{3}{8 \tanh{\left(\frac{x}{2} \right)}} - \frac{1}{24 \tanh^{3}{\left(\frac{x}{2} \right)}}"," ",0,"-tanh(x/2)**3/24 + 3*tanh(x/2)/8 + 3/(8*tanh(x/2)) - 1/(24*tanh(x/2)**3)","B",0
40,1,54,0,2.784849," ","integrate(1/(1-cosh(x)**2)**3,x)","\frac{\tanh^{5}{\left(\frac{x}{2} \right)}}{160} - \frac{5 \tanh^{3}{\left(\frac{x}{2} \right)}}{96} + \frac{5 \tanh{\left(\frac{x}{2} \right)}}{16} + \frac{5}{16 \tanh{\left(\frac{x}{2} \right)}} - \frac{5}{96 \tanh^{3}{\left(\frac{x}{2} \right)}} + \frac{1}{160 \tanh^{5}{\left(\frac{x}{2} \right)}}"," ",0,"tanh(x/2)**5/160 - 5*tanh(x/2)**3/96 + 5*tanh(x/2)/16 + 5/(16*tanh(x/2)) - 5/(96*tanh(x/2)**3) + 1/(160*tanh(x/2)**5)","B",0
41,0,0,0,0.000000," ","integrate((a+b*cosh(x)**2)**(1/2),x)","\int \sqrt{a + b \cosh^{2}{\left(x \right)}}\, dx"," ",0,"Integral(sqrt(a + b*cosh(x)**2), x)","F",0
42,0,0,0,0.000000," ","integrate((1+cosh(x)**2)**(1/2),x)","\int \sqrt{\cosh^{2}{\left(x \right)} + 1}\, dx"," ",0,"Integral(sqrt(cosh(x)**2 + 1), x)","F",0
43,0,0,0,0.000000," ","integrate((1-cosh(x)**2)**(1/2),x)","\int \sqrt{1 - \cosh^{2}{\left(x \right)}}\, dx"," ",0,"Integral(sqrt(1 - cosh(x)**2), x)","F",0
44,0,0,0,0.000000," ","integrate((-1+cosh(x)**2)**(1/2),x)","\int \sqrt{\cosh^{2}{\left(x \right)} - 1}\, dx"," ",0,"Integral(sqrt(cosh(x)**2 - 1), x)","F",0
45,0,0,0,0.000000," ","integrate((-1-cosh(x)**2)**(1/2),x)","\int \sqrt{- \cosh^{2}{\left(x \right)} - 1}\, dx"," ",0,"Integral(sqrt(-cosh(x)**2 - 1), x)","F",0
46,-1,0,0,0.000000," ","integrate((a+b*cosh(x)**2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
47,0,0,0,0.000000," ","integrate((1+cosh(x)**2)**(3/2),x)","\int \left(\cosh^{2}{\left(x \right)} + 1\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((cosh(x)**2 + 1)**(3/2), x)","F",0
48,0,0,0,0.000000," ","integrate((1-cosh(x)**2)**(3/2),x)","\int \left(1 - \cosh^{2}{\left(x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((1 - cosh(x)**2)**(3/2), x)","F",0
49,0,0,0,0.000000," ","integrate((-1+cosh(x)**2)**(3/2),x)","\int \left(\cosh^{2}{\left(x \right)} - 1\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((cosh(x)**2 - 1)**(3/2), x)","F",0
50,0,0,0,0.000000," ","integrate((-1-cosh(x)**2)**(3/2),x)","\int \left(- \cosh^{2}{\left(x \right)} - 1\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((-cosh(x)**2 - 1)**(3/2), x)","F",0
51,0,0,0,0.000000," ","integrate(1/(a+b*cosh(x)**2)**(1/2),x)","\int \frac{1}{\sqrt{a + b \cosh^{2}{\left(x \right)}}}\, dx"," ",0,"Integral(1/sqrt(a + b*cosh(x)**2), x)","F",0
52,0,0,0,0.000000," ","integrate(1/(1+cosh(x)**2)**(1/2),x)","\int \frac{1}{\sqrt{\cosh^{2}{\left(x \right)} + 1}}\, dx"," ",0,"Integral(1/sqrt(cosh(x)**2 + 1), x)","F",0
53,0,0,0,0.000000," ","integrate(1/(1-cosh(x)**2)**(1/2),x)","\int \frac{1}{\sqrt{1 - \cosh^{2}{\left(x \right)}}}\, dx"," ",0,"Integral(1/sqrt(1 - cosh(x)**2), x)","F",0
54,0,0,0,0.000000," ","integrate(1/(-1+cosh(x)**2)**(1/2),x)","\int \frac{1}{\sqrt{\cosh^{2}{\left(x \right)} - 1}}\, dx"," ",0,"Integral(1/sqrt(cosh(x)**2 - 1), x)","F",0
55,0,0,0,0.000000," ","integrate(1/(-1-cosh(x)**2)**(1/2),x)","\int \frac{1}{\sqrt{- \cosh^{2}{\left(x \right)} - 1}}\, dx"," ",0,"Integral(1/sqrt(-cosh(x)**2 - 1), x)","F",0
56,-1,0,0,0.000000," ","integrate(1/(a+b*cosh(x)**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
57,-1,0,0,0.000000," ","integrate(1/(a-b*cosh(x)**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
58,1,330,0,3.261180," ","integrate(1/(1+cosh(x)**3),x)","- \frac{2 \sqrt{2} \cdot 3^{\frac{3}{4}} \log{\left(36 \tanh^{2}{\left(\frac{x}{2} \right)} - 12 \sqrt{2} \cdot 3^{\frac{3}{4}} \tanh{\left(\frac{x}{2} \right)} + 12 \sqrt{3} \right)}}{18 + 18 \sqrt{3}} - \frac{3 \sqrt{2} \sqrt[4]{3} \log{\left(36 \tanh^{2}{\left(\frac{x}{2} \right)} - 12 \sqrt{2} \cdot 3^{\frac{3}{4}} \tanh{\left(\frac{x}{2} \right)} + 12 \sqrt{3} \right)}}{18 + 18 \sqrt{3}} + \frac{3 \sqrt{2} \sqrt[4]{3} \log{\left(36 \tanh^{2}{\left(\frac{x}{2} \right)} + 12 \sqrt{2} \cdot 3^{\frac{3}{4}} \tanh{\left(\frac{x}{2} \right)} + 12 \sqrt{3} \right)}}{18 + 18 \sqrt{3}} + \frac{2 \sqrt{2} \cdot 3^{\frac{3}{4}} \log{\left(36 \tanh^{2}{\left(\frac{x}{2} \right)} + 12 \sqrt{2} \cdot 3^{\frac{3}{4}} \tanh{\left(\frac{x}{2} \right)} + 12 \sqrt{3} \right)}}{18 + 18 \sqrt{3}} + \frac{6 \tanh{\left(\frac{x}{2} \right)}}{18 + 18 \sqrt{3}} + \frac{6 \sqrt{3} \tanh{\left(\frac{x}{2} \right)}}{18 + 18 \sqrt{3}} - \frac{2 \sqrt{2} \cdot 3^{\frac{3}{4}} \operatorname{atan}{\left(\sqrt{2} \sqrt[4]{3} \tanh{\left(\frac{x}{2} \right)} - 1 \right)}}{18 + 18 \sqrt{3}} - \frac{2 \sqrt{2} \cdot 3^{\frac{3}{4}} \operatorname{atan}{\left(\sqrt{2} \sqrt[4]{3} \tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{18 + 18 \sqrt{3}}"," ",0,"-2*sqrt(2)*3**(3/4)*log(36*tanh(x/2)**2 - 12*sqrt(2)*3**(3/4)*tanh(x/2) + 12*sqrt(3))/(18 + 18*sqrt(3)) - 3*sqrt(2)*3**(1/4)*log(36*tanh(x/2)**2 - 12*sqrt(2)*3**(3/4)*tanh(x/2) + 12*sqrt(3))/(18 + 18*sqrt(3)) + 3*sqrt(2)*3**(1/4)*log(36*tanh(x/2)**2 + 12*sqrt(2)*3**(3/4)*tanh(x/2) + 12*sqrt(3))/(18 + 18*sqrt(3)) + 2*sqrt(2)*3**(3/4)*log(36*tanh(x/2)**2 + 12*sqrt(2)*3**(3/4)*tanh(x/2) + 12*sqrt(3))/(18 + 18*sqrt(3)) + 6*tanh(x/2)/(18 + 18*sqrt(3)) + 6*sqrt(3)*tanh(x/2)/(18 + 18*sqrt(3)) - 2*sqrt(2)*3**(3/4)*atan(sqrt(2)*3**(1/4)*tanh(x/2) - 1)/(18 + 18*sqrt(3)) - 2*sqrt(2)*3**(3/4)*atan(sqrt(2)*3**(1/4)*tanh(x/2) + 1)/(18 + 18*sqrt(3))","B",0
59,1,405,0,3.718616," ","integrate(1/(1-cosh(x)**3),x)","\frac{\sqrt{2} \sqrt[4]{3} \log{\left(4 \tanh^{2}{\left(\frac{x}{2} \right)} - 4 \sqrt{2} \sqrt[4]{3} \tanh{\left(\frac{x}{2} \right)} + 4 \sqrt{3} \right)} \tanh{\left(\frac{x}{2} \right)}}{- 18 \tanh{\left(\frac{x}{2} \right)} + 6 \sqrt{3} \tanh{\left(\frac{x}{2} \right)}} - \frac{\sqrt{2} \sqrt[4]{3} \log{\left(4 \tanh^{2}{\left(\frac{x}{2} \right)} + 4 \sqrt{2} \sqrt[4]{3} \tanh{\left(\frac{x}{2} \right)} + 4 \sqrt{3} \right)} \tanh{\left(\frac{x}{2} \right)}}{- 18 \tanh{\left(\frac{x}{2} \right)} + 6 \sqrt{3} \tanh{\left(\frac{x}{2} \right)}} - \frac{4 \sqrt{2} \sqrt[4]{3} \tanh{\left(\frac{x}{2} \right)} \operatorname{atan}{\left(\frac{\sqrt{2} \cdot 3^{\frac{3}{4}} \tanh{\left(\frac{x}{2} \right)}}{3} - 1 \right)}}{- 18 \tanh{\left(\frac{x}{2} \right)} + 6 \sqrt{3} \tanh{\left(\frac{x}{2} \right)}} + \frac{2 \sqrt{2} \cdot 3^{\frac{3}{4}} \tanh{\left(\frac{x}{2} \right)} \operatorname{atan}{\left(\frac{\sqrt{2} \cdot 3^{\frac{3}{4}} \tanh{\left(\frac{x}{2} \right)}}{3} - 1 \right)}}{- 18 \tanh{\left(\frac{x}{2} \right)} + 6 \sqrt{3} \tanh{\left(\frac{x}{2} \right)}} - \frac{4 \sqrt{2} \sqrt[4]{3} \tanh{\left(\frac{x}{2} \right)} \operatorname{atan}{\left(\frac{\sqrt{2} \cdot 3^{\frac{3}{4}} \tanh{\left(\frac{x}{2} \right)}}{3} + 1 \right)}}{- 18 \tanh{\left(\frac{x}{2} \right)} + 6 \sqrt{3} \tanh{\left(\frac{x}{2} \right)}} + \frac{2 \sqrt{2} \cdot 3^{\frac{3}{4}} \tanh{\left(\frac{x}{2} \right)} \operatorname{atan}{\left(\frac{\sqrt{2} \cdot 3^{\frac{3}{4}} \tanh{\left(\frac{x}{2} \right)}}{3} + 1 \right)}}{- 18 \tanh{\left(\frac{x}{2} \right)} + 6 \sqrt{3} \tanh{\left(\frac{x}{2} \right)}} - \frac{6}{- 18 \tanh{\left(\frac{x}{2} \right)} + 6 \sqrt{3} \tanh{\left(\frac{x}{2} \right)}} + \frac{2 \sqrt{3}}{- 18 \tanh{\left(\frac{x}{2} \right)} + 6 \sqrt{3} \tanh{\left(\frac{x}{2} \right)}}"," ",0,"sqrt(2)*3**(1/4)*log(4*tanh(x/2)**2 - 4*sqrt(2)*3**(1/4)*tanh(x/2) + 4*sqrt(3))*tanh(x/2)/(-18*tanh(x/2) + 6*sqrt(3)*tanh(x/2)) - sqrt(2)*3**(1/4)*log(4*tanh(x/2)**2 + 4*sqrt(2)*3**(1/4)*tanh(x/2) + 4*sqrt(3))*tanh(x/2)/(-18*tanh(x/2) + 6*sqrt(3)*tanh(x/2)) - 4*sqrt(2)*3**(1/4)*tanh(x/2)*atan(sqrt(2)*3**(3/4)*tanh(x/2)/3 - 1)/(-18*tanh(x/2) + 6*sqrt(3)*tanh(x/2)) + 2*sqrt(2)*3**(3/4)*tanh(x/2)*atan(sqrt(2)*3**(3/4)*tanh(x/2)/3 - 1)/(-18*tanh(x/2) + 6*sqrt(3)*tanh(x/2)) - 4*sqrt(2)*3**(1/4)*tanh(x/2)*atan(sqrt(2)*3**(3/4)*tanh(x/2)/3 + 1)/(-18*tanh(x/2) + 6*sqrt(3)*tanh(x/2)) + 2*sqrt(2)*3**(3/4)*tanh(x/2)*atan(sqrt(2)*3**(3/4)*tanh(x/2)/3 + 1)/(-18*tanh(x/2) + 6*sqrt(3)*tanh(x/2)) - 6/(-18*tanh(x/2) + 6*sqrt(3)*tanh(x/2)) + 2*sqrt(3)/(-18*tanh(x/2) + 6*sqrt(3)*tanh(x/2))","B",0
60,-1,0,0,0.000000," ","integrate(1/(a+b*cosh(x)**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
61,-1,0,0,0.000000," ","integrate(1/(a-b*cosh(x)**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
62,-1,0,0,0.000000," ","integrate(1/(1+cosh(x)**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
63,1,75,0,1.873571," ","integrate(1/(1-cosh(x)**4),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)}}{8} + \frac{\sqrt{2} \log{\left(4 \tanh^{2}{\left(\frac{x}{2} \right)} + 4 \sqrt{2} \tanh{\left(\frac{x}{2} \right)} + 4 \right)}}{8} + \frac{\tanh{\left(\frac{x}{2} \right)}}{4} + \frac{1}{4 \tanh{\left(\frac{x}{2} \right)}}"," ",0,"-sqrt(2)*log(4*tanh(x/2)**2 - 4*sqrt(2)*tanh(x/2) + 4)/8 + sqrt(2)*log(4*tanh(x/2)**2 + 4*sqrt(2)*tanh(x/2) + 4)/8 + tanh(x/2)/4 + 1/(4*tanh(x/2))","B",0
64,0,0,0,0.000000," ","integrate(1/(a+b*cosh(x)**5),x)","\int \frac{1}{a + b \cosh^{5}{\left(x \right)}}\, dx"," ",0,"Integral(1/(a + b*cosh(x)**5), x)","F",0
65,0,0,0,0.000000," ","integrate(1/(a+b*cosh(x)**6),x)","\int \frac{1}{a + b \cosh^{6}{\left(x \right)}}\, dx"," ",0,"Integral(1/(a + b*cosh(x)**6), x)","F",0
66,0,0,0,0.000000," ","integrate(1/(a+b*cosh(x)**8),x)","\int \frac{1}{a + b \cosh^{8}{\left(x \right)}}\, dx"," ",0,"Integral(1/(a + b*cosh(x)**8), x)","F",0
67,0,0,0,0.000000," ","integrate(1/(a-b*cosh(x)**5),x)","\int \frac{1}{a - b \cosh^{5}{\left(x \right)}}\, dx"," ",0,"Integral(1/(a - b*cosh(x)**5), x)","F",0
68,0,0,0,0.000000," ","integrate(1/(a-b*cosh(x)**6),x)","\int \frac{1}{a - b \cosh^{6}{\left(x \right)}}\, dx"," ",0,"Integral(1/(a - b*cosh(x)**6), x)","F",0
69,0,0,0,0.000000," ","integrate(1/(a-b*cosh(x)**8),x)","\int \frac{1}{a - b \cosh^{8}{\left(x \right)}}\, dx"," ",0,"Integral(1/(a - b*cosh(x)**8), x)","F",0
70,-1,0,0,0.000000," ","integrate(1/(1+cosh(x)**5),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
71,-1,0,0,0.000000," ","integrate(1/(1+cosh(x)**6),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
72,-1,0,0,0.000000," ","integrate(1/(1+cosh(x)**8),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
73,-1,0,0,0.000000," ","integrate(1/(1-cosh(x)**5),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
74,1,632,0,22.047323," ","integrate(1/(1-cosh(x)**6),x)","- \frac{\sqrt{2} \sqrt[4]{3} \log{\left(4 \tanh^{2}{\left(\frac{x}{2} \right)} - 4 \sqrt{2} \sqrt[4]{3} \tanh{\left(\frac{x}{2} \right)} + 4 \sqrt{3} \right)}}{24} - \frac{\sqrt{2} \cdot 3^{\frac{3}{4}} \log{\left(4 \tanh^{2}{\left(\frac{x}{2} \right)} - 4 \sqrt{2} \sqrt[4]{3} \tanh{\left(\frac{x}{2} \right)} + 4 \sqrt{3} \right)}}{72} + \frac{\sqrt{2} \cdot 3^{\frac{3}{4}} \log{\left(4 \tanh^{2}{\left(\frac{x}{2} \right)} + 4 \sqrt{2} \sqrt[4]{3} \tanh{\left(\frac{x}{2} \right)} + 4 \sqrt{3} \right)}}{72} + \frac{\sqrt{2} \sqrt[4]{3} \log{\left(4 \tanh^{2}{\left(\frac{x}{2} \right)} + 4 \sqrt{2} \sqrt[4]{3} \tanh{\left(\frac{x}{2} \right)} + 4 \sqrt{3} \right)}}{24} - \frac{\sqrt{2} \sqrt[4]{3} \log{\left(36 \tanh^{2}{\left(\frac{x}{2} \right)} - 12 \sqrt{2} \cdot 3^{\frac{3}{4}} \tanh{\left(\frac{x}{2} \right)} + 12 \sqrt{3} \right)}}{24} - \frac{\sqrt{2} \cdot 3^{\frac{3}{4}} \log{\left(36 \tanh^{2}{\left(\frac{x}{2} \right)} - 12 \sqrt{2} \cdot 3^{\frac{3}{4}} \tanh{\left(\frac{x}{2} \right)} + 12 \sqrt{3} \right)}}{72} + \frac{\sqrt{2} \cdot 3^{\frac{3}{4}} \log{\left(36 \tanh^{2}{\left(\frac{x}{2} \right)} + 12 \sqrt{2} \cdot 3^{\frac{3}{4}} \tanh{\left(\frac{x}{2} \right)} + 12 \sqrt{3} \right)}}{72} + \frac{\sqrt{2} \sqrt[4]{3} \log{\left(36 \tanh^{2}{\left(\frac{x}{2} \right)} + 12 \sqrt{2} \cdot 3^{\frac{3}{4}} \tanh{\left(\frac{x}{2} \right)} + 12 \sqrt{3} \right)}}{24} + \frac{\tanh{\left(\frac{x}{2} \right)}}{6} - \frac{\sqrt{2} \sqrt[4]{3} \operatorname{atan}{\left(\sqrt{2} \sqrt[4]{3} \tanh{\left(\frac{x}{2} \right)} - 1 \right)}}{12} + \frac{\sqrt{2} \cdot 3^{\frac{3}{4}} \operatorname{atan}{\left(\sqrt{2} \sqrt[4]{3} \tanh{\left(\frac{x}{2} \right)} - 1 \right)}}{36} - \frac{\sqrt{2} \sqrt[4]{3} \operatorname{atan}{\left(\sqrt{2} \sqrt[4]{3} \tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{12} + \frac{\sqrt{2} \cdot 3^{\frac{3}{4}} \operatorname{atan}{\left(\sqrt{2} \sqrt[4]{3} \tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{36} - \frac{\sqrt{2} \cdot 3^{\frac{3}{4}} \operatorname{atan}{\left(\frac{\sqrt{2} \cdot 3^{\frac{3}{4}} \tanh{\left(\frac{x}{2} \right)}}{3} - 1 \right)}}{36} + \frac{\sqrt{2} \sqrt[4]{3} \operatorname{atan}{\left(\frac{\sqrt{2} \cdot 3^{\frac{3}{4}} \tanh{\left(\frac{x}{2} \right)}}{3} - 1 \right)}}{12} - \frac{\sqrt{2} \cdot 3^{\frac{3}{4}} \operatorname{atan}{\left(\frac{\sqrt{2} \cdot 3^{\frac{3}{4}} \tanh{\left(\frac{x}{2} \right)}}{3} + 1 \right)}}{36} + \frac{\sqrt{2} \sqrt[4]{3} \operatorname{atan}{\left(\frac{\sqrt{2} \cdot 3^{\frac{3}{4}} \tanh{\left(\frac{x}{2} \right)}}{3} + 1 \right)}}{12} + \frac{1}{6 \tanh{\left(\frac{x}{2} \right)}}"," ",0,"-sqrt(2)*3**(1/4)*log(4*tanh(x/2)**2 - 4*sqrt(2)*3**(1/4)*tanh(x/2) + 4*sqrt(3))/24 - sqrt(2)*3**(3/4)*log(4*tanh(x/2)**2 - 4*sqrt(2)*3**(1/4)*tanh(x/2) + 4*sqrt(3))/72 + sqrt(2)*3**(3/4)*log(4*tanh(x/2)**2 + 4*sqrt(2)*3**(1/4)*tanh(x/2) + 4*sqrt(3))/72 + sqrt(2)*3**(1/4)*log(4*tanh(x/2)**2 + 4*sqrt(2)*3**(1/4)*tanh(x/2) + 4*sqrt(3))/24 - sqrt(2)*3**(1/4)*log(36*tanh(x/2)**2 - 12*sqrt(2)*3**(3/4)*tanh(x/2) + 12*sqrt(3))/24 - sqrt(2)*3**(3/4)*log(36*tanh(x/2)**2 - 12*sqrt(2)*3**(3/4)*tanh(x/2) + 12*sqrt(3))/72 + sqrt(2)*3**(3/4)*log(36*tanh(x/2)**2 + 12*sqrt(2)*3**(3/4)*tanh(x/2) + 12*sqrt(3))/72 + sqrt(2)*3**(1/4)*log(36*tanh(x/2)**2 + 12*sqrt(2)*3**(3/4)*tanh(x/2) + 12*sqrt(3))/24 + tanh(x/2)/6 - sqrt(2)*3**(1/4)*atan(sqrt(2)*3**(1/4)*tanh(x/2) - 1)/12 + sqrt(2)*3**(3/4)*atan(sqrt(2)*3**(1/4)*tanh(x/2) - 1)/36 - sqrt(2)*3**(1/4)*atan(sqrt(2)*3**(1/4)*tanh(x/2) + 1)/12 + sqrt(2)*3**(3/4)*atan(sqrt(2)*3**(1/4)*tanh(x/2) + 1)/36 - sqrt(2)*3**(3/4)*atan(sqrt(2)*3**(3/4)*tanh(x/2)/3 - 1)/36 + sqrt(2)*3**(1/4)*atan(sqrt(2)*3**(3/4)*tanh(x/2)/3 - 1)/12 - sqrt(2)*3**(3/4)*atan(sqrt(2)*3**(3/4)*tanh(x/2)/3 + 1)/36 + sqrt(2)*3**(1/4)*atan(sqrt(2)*3**(3/4)*tanh(x/2)/3 + 1)/12 + 1/(6*tanh(x/2))","B",0
75,-1,0,0,0.000000," ","integrate(1/(1-cosh(x)**8),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
76,0,0,0,0.000000," ","integrate(tanh(x)/(1+cosh(x)**2),x)","\int \frac{\tanh{\left(x \right)}}{\cosh^{2}{\left(x \right)} + 1}\, dx"," ",0,"Integral(tanh(x)/(cosh(x)**2 + 1), x)","F",0
77,0,0,0,0.000000," ","integrate((a+b*cosh(x)**2)**(1/2)*tanh(x),x)","\int \sqrt{a + b \cosh^{2}{\left(x \right)}} \tanh{\left(x \right)}\, dx"," ",0,"Integral(sqrt(a + b*cosh(x)**2)*tanh(x), x)","F",0
78,0,0,0,0.000000," ","integrate(tanh(x)/(a+b*cosh(x)**2)**(1/2),x)","\int \frac{\tanh{\left(x \right)}}{\sqrt{a + b \cosh^{2}{\left(x \right)}}}\, dx"," ",0,"Integral(tanh(x)/sqrt(a + b*cosh(x)**2), x)","F",0
79,0,0,0,0.000000," ","integrate(tanh(x)/(1+cosh(x)**2)**(1/2),x)","\int \frac{\tanh{\left(x \right)}}{\sqrt{\cosh^{2}{\left(x \right)} + 1}}\, dx"," ",0,"Integral(tanh(x)/sqrt(cosh(x)**2 + 1), x)","F",0
80,0,0,0,0.000000," ","integrate(tanh(x)/(1-cosh(x)**2)**(1/2),x)","\int \frac{\tanh{\left(x \right)}}{\sqrt{- \left(\cosh{\left(x \right)} - 1\right) \left(\cosh{\left(x \right)} + 1\right)}}\, dx"," ",0,"Integral(tanh(x)/sqrt(-(cosh(x) - 1)*(cosh(x) + 1)), x)","F",0
81,0,0,0,0.000000," ","integrate(tanh(x)**3/(a+b*cosh(x)**3),x)","\int \frac{\tanh^{3}{\left(x \right)}}{a + b \cosh^{3}{\left(x \right)}}\, dx"," ",0,"Integral(tanh(x)**3/(a + b*cosh(x)**3), x)","F",0
82,0,0,0,0.000000," ","integrate(tanh(x)/(a+b*cosh(x)**3)**(1/2),x)","\int \frac{\tanh{\left(x \right)}}{\sqrt{a + b \cosh^{3}{\left(x \right)}}}\, dx"," ",0,"Integral(tanh(x)/sqrt(a + b*cosh(x)**3), x)","F",0
83,0,0,0,0.000000," ","integrate((a+b*cosh(x)**3)**(1/2)*tanh(x),x)","\int \sqrt{a + b \cosh^{3}{\left(x \right)}} \tanh{\left(x \right)}\, dx"," ",0,"Integral(sqrt(a + b*cosh(x)**3)*tanh(x), x)","F",0
84,0,0,0,0.000000," ","integrate(tanh(x)/(a+b*cosh(x)**n)**(1/2),x)","\int \frac{\tanh{\left(x \right)}}{\sqrt{a + b \cosh^{n}{\left(x \right)}}}\, dx"," ",0,"Integral(tanh(x)/sqrt(a + b*cosh(x)**n), x)","F",0
85,0,0,0,0.000000," ","integrate((a+b*cosh(x)**n)**(1/2)*tanh(x),x)","\int \sqrt{a + b \cosh^{n}{\left(x \right)}} \tanh{\left(x \right)}\, dx"," ",0,"Integral(sqrt(a + b*cosh(x)**n)*tanh(x), x)","F",0
