1,1,473,0,6.361669," ","integrate(sin(x)**6/(a-a*cos(x)**2),x)","\frac{3 x \tan^{8}{\left(\frac{x}{2} \right)}}{8 a \tan^{8}{\left(\frac{x}{2} \right)} + 32 a \tan^{6}{\left(\frac{x}{2} \right)} + 48 a \tan^{4}{\left(\frac{x}{2} \right)} + 32 a \tan^{2}{\left(\frac{x}{2} \right)} + 8 a} + \frac{12 x \tan^{6}{\left(\frac{x}{2} \right)}}{8 a \tan^{8}{\left(\frac{x}{2} \right)} + 32 a \tan^{6}{\left(\frac{x}{2} \right)} + 48 a \tan^{4}{\left(\frac{x}{2} \right)} + 32 a \tan^{2}{\left(\frac{x}{2} \right)} + 8 a} + \frac{18 x \tan^{4}{\left(\frac{x}{2} \right)}}{8 a \tan^{8}{\left(\frac{x}{2} \right)} + 32 a \tan^{6}{\left(\frac{x}{2} \right)} + 48 a \tan^{4}{\left(\frac{x}{2} \right)} + 32 a \tan^{2}{\left(\frac{x}{2} \right)} + 8 a} + \frac{12 x \tan^{2}{\left(\frac{x}{2} \right)}}{8 a \tan^{8}{\left(\frac{x}{2} \right)} + 32 a \tan^{6}{\left(\frac{x}{2} \right)} + 48 a \tan^{4}{\left(\frac{x}{2} \right)} + 32 a \tan^{2}{\left(\frac{x}{2} \right)} + 8 a} + \frac{3 x}{8 a \tan^{8}{\left(\frac{x}{2} \right)} + 32 a \tan^{6}{\left(\frac{x}{2} \right)} + 48 a \tan^{4}{\left(\frac{x}{2} \right)} + 32 a \tan^{2}{\left(\frac{x}{2} \right)} + 8 a} + \frac{6 \tan^{7}{\left(\frac{x}{2} \right)}}{8 a \tan^{8}{\left(\frac{x}{2} \right)} + 32 a \tan^{6}{\left(\frac{x}{2} \right)} + 48 a \tan^{4}{\left(\frac{x}{2} \right)} + 32 a \tan^{2}{\left(\frac{x}{2} \right)} + 8 a} + \frac{22 \tan^{5}{\left(\frac{x}{2} \right)}}{8 a \tan^{8}{\left(\frac{x}{2} \right)} + 32 a \tan^{6}{\left(\frac{x}{2} \right)} + 48 a \tan^{4}{\left(\frac{x}{2} \right)} + 32 a \tan^{2}{\left(\frac{x}{2} \right)} + 8 a} - \frac{22 \tan^{3}{\left(\frac{x}{2} \right)}}{8 a \tan^{8}{\left(\frac{x}{2} \right)} + 32 a \tan^{6}{\left(\frac{x}{2} \right)} + 48 a \tan^{4}{\left(\frac{x}{2} \right)} + 32 a \tan^{2}{\left(\frac{x}{2} \right)} + 8 a} - \frac{6 \tan{\left(\frac{x}{2} \right)}}{8 a \tan^{8}{\left(\frac{x}{2} \right)} + 32 a \tan^{6}{\left(\frac{x}{2} \right)} + 48 a \tan^{4}{\left(\frac{x}{2} \right)} + 32 a \tan^{2}{\left(\frac{x}{2} \right)} + 8 a}"," ",0,"3*x*tan(x/2)**8/(8*a*tan(x/2)**8 + 32*a*tan(x/2)**6 + 48*a*tan(x/2)**4 + 32*a*tan(x/2)**2 + 8*a) + 12*x*tan(x/2)**6/(8*a*tan(x/2)**8 + 32*a*tan(x/2)**6 + 48*a*tan(x/2)**4 + 32*a*tan(x/2)**2 + 8*a) + 18*x*tan(x/2)**4/(8*a*tan(x/2)**8 + 32*a*tan(x/2)**6 + 48*a*tan(x/2)**4 + 32*a*tan(x/2)**2 + 8*a) + 12*x*tan(x/2)**2/(8*a*tan(x/2)**8 + 32*a*tan(x/2)**6 + 48*a*tan(x/2)**4 + 32*a*tan(x/2)**2 + 8*a) + 3*x/(8*a*tan(x/2)**8 + 32*a*tan(x/2)**6 + 48*a*tan(x/2)**4 + 32*a*tan(x/2)**2 + 8*a) + 6*tan(x/2)**7/(8*a*tan(x/2)**8 + 32*a*tan(x/2)**6 + 48*a*tan(x/2)**4 + 32*a*tan(x/2)**2 + 8*a) + 22*tan(x/2)**5/(8*a*tan(x/2)**8 + 32*a*tan(x/2)**6 + 48*a*tan(x/2)**4 + 32*a*tan(x/2)**2 + 8*a) - 22*tan(x/2)**3/(8*a*tan(x/2)**8 + 32*a*tan(x/2)**6 + 48*a*tan(x/2)**4 + 32*a*tan(x/2)**2 + 8*a) - 6*tan(x/2)/(8*a*tan(x/2)**8 + 32*a*tan(x/2)**6 + 48*a*tan(x/2)**4 + 32*a*tan(x/2)**2 + 8*a)","B",0
2,1,78,0,3.744677," ","integrate(sin(x)**5/(a-a*cos(x)**2),x)","- \frac{12 \tan^{2}{\left(\frac{x}{2} \right)}}{3 a \tan^{6}{\left(\frac{x}{2} \right)} + 9 a \tan^{4}{\left(\frac{x}{2} \right)} + 9 a \tan^{2}{\left(\frac{x}{2} \right)} + 3 a} - \frac{4}{3 a \tan^{6}{\left(\frac{x}{2} \right)} + 9 a \tan^{4}{\left(\frac{x}{2} \right)} + 9 a \tan^{2}{\left(\frac{x}{2} \right)} + 3 a}"," ",0,"-12*tan(x/2)**2/(3*a*tan(x/2)**6 + 9*a*tan(x/2)**4 + 9*a*tan(x/2)**2 + 3*a) - 4/(3*a*tan(x/2)**6 + 9*a*tan(x/2)**4 + 9*a*tan(x/2)**2 + 3*a)","B",0
3,1,153,0,2.268037," ","integrate(sin(x)**4/(a-a*cos(x)**2),x)","\frac{x \tan^{4}{\left(\frac{x}{2} \right)}}{2 a \tan^{4}{\left(\frac{x}{2} \right)} + 4 a \tan^{2}{\left(\frac{x}{2} \right)} + 2 a} + \frac{2 x \tan^{2}{\left(\frac{x}{2} \right)}}{2 a \tan^{4}{\left(\frac{x}{2} \right)} + 4 a \tan^{2}{\left(\frac{x}{2} \right)} + 2 a} + \frac{x}{2 a \tan^{4}{\left(\frac{x}{2} \right)} + 4 a \tan^{2}{\left(\frac{x}{2} \right)} + 2 a} + \frac{2 \tan^{3}{\left(\frac{x}{2} \right)}}{2 a \tan^{4}{\left(\frac{x}{2} \right)} + 4 a \tan^{2}{\left(\frac{x}{2} \right)} + 2 a} - \frac{2 \tan{\left(\frac{x}{2} \right)}}{2 a \tan^{4}{\left(\frac{x}{2} \right)} + 4 a \tan^{2}{\left(\frac{x}{2} \right)} + 2 a}"," ",0,"x*tan(x/2)**4/(2*a*tan(x/2)**4 + 4*a*tan(x/2)**2 + 2*a) + 2*x*tan(x/2)**2/(2*a*tan(x/2)**4 + 4*a*tan(x/2)**2 + 2*a) + x/(2*a*tan(x/2)**4 + 4*a*tan(x/2)**2 + 2*a) + 2*tan(x/2)**3/(2*a*tan(x/2)**4 + 4*a*tan(x/2)**2 + 2*a) - 2*tan(x/2)/(2*a*tan(x/2)**4 + 4*a*tan(x/2)**2 + 2*a)","B",0
4,1,12,0,1.236914," ","integrate(sin(x)**3/(a-a*cos(x)**2),x)","- \frac{2}{a \tan^{2}{\left(\frac{x}{2} \right)} + a}"," ",0,"-2/(a*tan(x/2)**2 + a)","B",0
5,1,2,0,0.706778," ","integrate(sin(x)**2/(a-a*cos(x)**2),x)","\frac{x}{a}"," ",0,"x/a","A",0
6,1,19,0,0.223653," ","integrate(sin(x)/(a-a*cos(x)**2),x)","\frac{\log{\left(\cos{\left(x \right)} - 1 \right)}}{2 a} - \frac{\log{\left(\cos{\left(x \right)} + 1 \right)}}{2 a}"," ",0,"log(cos(x) - 1)/(2*a) - log(cos(x) + 1)/(2*a)","B",0
7,0,0,0,0.000000," ","integrate(csc(x)/(a-a*cos(x)**2),x)","- \frac{\int \frac{\csc{\left(x \right)}}{\cos^{2}{\left(x \right)} - 1}\, dx}{a}"," ",0,"-Integral(csc(x)/(cos(x)**2 - 1), x)/a","F",0
8,0,0,0,0.000000," ","integrate(csc(x)**2/(a-a*cos(x)**2),x)","- \frac{\int \frac{\csc^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)} - 1}\, dx}{a}"," ",0,"-Integral(csc(x)**2/(cos(x)**2 - 1), x)/a","F",0
9,0,0,0,0.000000," ","integrate(csc(x)**3/(a-a*cos(x)**2),x)","- \frac{\int \frac{\csc^{3}{\left(x \right)}}{\cos^{2}{\left(x \right)} - 1}\, dx}{a}"," ",0,"-Integral(csc(x)**3/(cos(x)**2 - 1), x)/a","F",0
10,-1,0,0,0.000000," ","integrate(sin(x)**7/(a+b*cos(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
11,-1,0,0,0.000000," ","integrate(sin(x)**5/(a+b*cos(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
12,-1,0,0,0.000000," ","integrate(sin(x)**3/(a+b*cos(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
13,1,87,0,1.067478," ","integrate(sin(x)/(a+b*cos(x)**2),x)","\begin{cases} \frac{\tilde{\infty}}{\cos{\left(x \right)}} & \text{for}\: a = 0 \wedge b = 0 \\\frac{1}{b \cos{\left(x \right)}} & \text{for}\: a = 0 \\- \frac{\cos{\left(x \right)}}{a} & \text{for}\: b = 0 \\\frac{i \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \cos{\left(x \right)} \right)}}{2 \sqrt{a} b \sqrt{\frac{1}{b}}} - \frac{i \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \cos{\left(x \right)} \right)}}{2 \sqrt{a} b \sqrt{\frac{1}{b}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo/cos(x), Eq(a, 0) & Eq(b, 0)), (1/(b*cos(x)), Eq(a, 0)), (-cos(x)/a, Eq(b, 0)), (I*log(-I*sqrt(a)*sqrt(1/b) + cos(x))/(2*sqrt(a)*b*sqrt(1/b)) - I*log(I*sqrt(a)*sqrt(1/b) + cos(x))/(2*sqrt(a)*b*sqrt(1/b)), True))","A",0
14,0,0,0,0.000000," ","integrate(csc(x)/(a+b*cos(x)**2),x)","\int \frac{\csc{\left(x \right)}}{a + b \cos^{2}{\left(x \right)}}\, dx"," ",0,"Integral(csc(x)/(a + b*cos(x)**2), x)","F",0
15,0,0,0,0.000000," ","integrate(csc(x)**3/(a+b*cos(x)**2),x)","\int \frac{\csc^{3}{\left(x \right)}}{a + b \cos^{2}{\left(x \right)}}\, dx"," ",0,"Integral(csc(x)**3/(a + b*cos(x)**2), x)","F",0
16,0,0,0,0.000000," ","integrate(csc(x)**5/(a+b*cos(x)**2),x)","\int \frac{\csc^{5}{\left(x \right)}}{a + b \cos^{2}{\left(x \right)}}\, dx"," ",0,"Integral(csc(x)**5/(a + b*cos(x)**2), x)","F",0
17,-1,0,0,0.000000," ","integrate(sin(x)**6/(a+b*cos(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
18,-1,0,0,0.000000," ","integrate(sin(x)**4/(a+b*cos(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
19,-1,0,0,0.000000," ","integrate(sin(x)**2/(a+b*cos(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
20,1,12026,0,38.277514," ","integrate(1/(a+b*cos(x)**2),x)","\begin{cases} \frac{\tilde{\infty} \tan{\left(\frac{x}{2} \right)}}{\tan^{2}{\left(\frac{x}{2} \right)} - 1} & \text{for}\: a = 0 \wedge b = 0 \\- \frac{\tan{\left(\frac{x}{2} \right)}}{2 b} + \frac{1}{2 b \tan{\left(\frac{x}{2} \right)}} & \text{for}\: a = - b \\- \frac{2 \tan{\left(\frac{x}{2} \right)}}{b \left(\tan^{2}{\left(\frac{x}{2} \right)} - 1\right)} & \text{for}\: a = 0 \\- \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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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*tan(x/2)/(tan(x/2)**2 - 1), Eq(a, 0) & Eq(b, 0)), (-tan(x/2)/(2*b) + 1/(2*b*tan(x/2)), Eq(a, -b)), (-2*tan(x/2)/(b*(tan(x/2)**2 - 1)), Eq(a, 0)), (-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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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
21,0,0,0,0.000000," ","integrate(csc(x)**2/(a+b*cos(x)**2),x)","\int \frac{\csc^{2}{\left(x \right)}}{a + b \cos^{2}{\left(x \right)}}\, dx"," ",0,"Integral(csc(x)**2/(a + b*cos(x)**2), x)","F",0
22,0,0,0,0.000000," ","integrate(csc(x)**4/(a+b*cos(x)**2),x)","\int \frac{\csc^{4}{\left(x \right)}}{a + b \cos^{2}{\left(x \right)}}\, dx"," ",0,"Integral(csc(x)**4/(a + b*cos(x)**2), x)","F",0
23,-1,0,0,0.000000," ","integrate(csc(x)**6/(a+b*cos(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
24,1,85,0,1.648815," ","integrate(sin(x)/(4-3*cos(x)**3),x)","\frac{6^{\frac{2}{3}} \log{\left(\cos{\left(x \right)} - \frac{6^{\frac{2}{3}}}{3} \right)}}{36} - \frac{6^{\frac{2}{3}} \log{\left(36 \cos^{2}{\left(x \right)} + 12 \cdot 6^{\frac{2}{3}} \cos{\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}} \cos{\left(x \right)}}{3} + \frac{\sqrt{3}}{3} \right)}}{12}"," ",0,"6**(2/3)*log(cos(x) - 6**(2/3)/3)/36 - 6**(2/3)*log(36*cos(x)**2 + 12*6**(2/3)*cos(x) + 24*6**(1/3))/72 - 2**(2/3)*3**(1/6)*atan(2**(1/3)*3**(5/6)*cos(x)/3 + sqrt(3)/3)/12","A",0
25,1,14,0,0.429057," ","integrate(1/(1-cos(x)**2),x)","\frac{\tan{\left(\frac{x}{2} \right)}}{2} - \frac{1}{2 \tan{\left(\frac{x}{2} \right)}}"," ",0,"tan(x/2)/2 - 1/(2*tan(x/2))","B",0
26,1,34,0,1.137266," ","integrate(1/(1-cos(x)**2)**2,x)","\frac{\tan^{3}{\left(\frac{x}{2} \right)}}{24} + \frac{3 \tan{\left(\frac{x}{2} \right)}}{8} - \frac{3}{8 \tan{\left(\frac{x}{2} \right)}} - \frac{1}{24 \tan^{3}{\left(\frac{x}{2} \right)}}"," ",0,"tan(x/2)**3/24 + 3*tan(x/2)/8 - 3/(8*tan(x/2)) - 1/(24*tan(x/2)**3)","B",0
27,1,54,0,3.010274," ","integrate(1/(1-cos(x)**2)**3,x)","\frac{\tan^{5}{\left(\frac{x}{2} \right)}}{160} + \frac{5 \tan^{3}{\left(\frac{x}{2} \right)}}{96} + \frac{5 \tan{\left(\frac{x}{2} \right)}}{16} - \frac{5}{16 \tan{\left(\frac{x}{2} \right)}} - \frac{5}{96 \tan^{3}{\left(\frac{x}{2} \right)}} - \frac{1}{160 \tan^{5}{\left(\frac{x}{2} \right)}}"," ",0,"tan(x/2)**5/160 + 5*tan(x/2)**3/96 + 5*tan(x/2)/16 - 5/(16*tan(x/2)) - 5/(96*tan(x/2)**3) - 1/(160*tan(x/2)**5)","B",0
28,-1,0,0,0.000000," ","integrate(cos(x)**7/(a+b*cos(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
29,-1,0,0,0.000000," ","integrate(cos(x)**5/(a+b*cos(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
30,-1,0,0,0.000000," ","integrate(cos(x)**3/(a+b*cos(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
31,-1,0,0,0.000000," ","integrate(cos(x)/(a+b*cos(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
32,0,0,0,0.000000," ","integrate(sec(x)/(a+b*cos(x)**2),x)","\int \frac{\sec{\left(x \right)}}{a + b \cos^{2}{\left(x \right)}}\, dx"," ",0,"Integral(sec(x)/(a + b*cos(x)**2), x)","F",0
33,0,0,0,0.000000," ","integrate(sec(x)**3/(a+b*cos(x)**2),x)","\int \frac{\sec^{3}{\left(x \right)}}{a + b \cos^{2}{\left(x \right)}}\, dx"," ",0,"Integral(sec(x)**3/(a + b*cos(x)**2), x)","F",0
34,-1,0,0,0.000000," ","integrate(sec(x)**5/(a+b*cos(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
35,-1,0,0,0.000000," ","integrate(cos(x)**6/(a+b*cos(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
36,-1,0,0,0.000000," ","integrate(cos(x)**4/(a+b*cos(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
37,-1,0,0,0.000000," ","integrate(cos(x)**2/(a+b*cos(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
38,1,12026,0,38.680172," ","integrate(1/(a+b*cos(x)**2),x)","\begin{cases} \frac{\tilde{\infty} \tan{\left(\frac{x}{2} \right)}}{\tan^{2}{\left(\frac{x}{2} \right)} - 1} & \text{for}\: a = 0 \wedge b = 0 \\- \frac{\tan{\left(\frac{x}{2} \right)}}{2 b} + \frac{1}{2 b \tan{\left(\frac{x}{2} \right)}} & \text{for}\: a = - b \\- \frac{2 \tan{\left(\frac{x}{2} \right)}}{b \left(\tan^{2}{\left(\frac{x}{2} \right)} - 1\right)} & \text{for}\: a = 0 \\- \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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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}} + \tan{\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*tan(x/2)/(tan(x/2)**2 - 1), Eq(a, 0) & Eq(b, 0)), (-tan(x/2)/(2*b) + 1/(2*b*tan(x/2)), Eq(a, -b)), (-2*tan(x/2)/(b*(tan(x/2)**2 - 1)), Eq(a, 0)), (-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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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)) + tan(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
39,0,0,0,0.000000," ","integrate(sec(x)**2/(a+b*cos(x)**2),x)","\int \frac{\sec^{2}{\left(x \right)}}{a + b \cos^{2}{\left(x \right)}}\, dx"," ",0,"Integral(sec(x)**2/(a + b*cos(x)**2), x)","F",0
40,0,0,0,0.000000," ","integrate(sec(x)**4/(a+b*cos(x)**2),x)","\int \frac{\sec^{4}{\left(x \right)}}{a + b \cos^{2}{\left(x \right)}}\, dx"," ",0,"Integral(sec(x)**4/(a + b*cos(x)**2), x)","F",0
41,-1,0,0,0.000000," ","integrate(sec(x)**6/(a+b*cos(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
42,-1,0,0,0.000000," ","integrate(1/(a+b*cos(x)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
43,-1,0,0,0.000000," ","integrate(1/(a+b*cos(x)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
44,1,63,0,0.665902," ","integrate(1/(1+cos(x)**2),x)","\frac{\sqrt{2} \left(\operatorname{atan}{\left(\sqrt{2} \tan{\left(\frac{x}{2} \right)} - 1 \right)} + \pi \left\lfloor{\frac{\frac{x}{2} - \frac{\pi}{2}}{\pi}}\right\rfloor\right)}{2} + \frac{\sqrt{2} \left(\operatorname{atan}{\left(\sqrt{2} \tan{\left(\frac{x}{2} \right)} + 1 \right)} + \pi \left\lfloor{\frac{\frac{x}{2} - \frac{\pi}{2}}{\pi}}\right\rfloor\right)}{2}"," ",0,"sqrt(2)*(atan(sqrt(2)*tan(x/2) - 1) + pi*floor((x/2 - pi/2)/pi))/2 + sqrt(2)*(atan(sqrt(2)*tan(x/2) + 1) + pi*floor((x/2 - pi/2)/pi))/2","A",0
45,1,218,0,3.443851," ","integrate(1/(1+cos(x)**2)**2,x)","\frac{3 \sqrt{2} \left(\operatorname{atan}{\left(\sqrt{2} \tan{\left(\frac{x}{2} \right)} - 1 \right)} + \pi \left\lfloor{\frac{\frac{x}{2} - \frac{\pi}{2}}{\pi}}\right\rfloor\right) \tan^{4}{\left(\frac{x}{2} \right)}}{8 \tan^{4}{\left(\frac{x}{2} \right)} + 8} + \frac{3 \sqrt{2} \left(\operatorname{atan}{\left(\sqrt{2} \tan{\left(\frac{x}{2} \right)} - 1 \right)} + \pi \left\lfloor{\frac{\frac{x}{2} - \frac{\pi}{2}}{\pi}}\right\rfloor\right)}{8 \tan^{4}{\left(\frac{x}{2} \right)} + 8} + \frac{3 \sqrt{2} \left(\operatorname{atan}{\left(\sqrt{2} \tan{\left(\frac{x}{2} \right)} + 1 \right)} + \pi \left\lfloor{\frac{\frac{x}{2} - \frac{\pi}{2}}{\pi}}\right\rfloor\right) \tan^{4}{\left(\frac{x}{2} \right)}}{8 \tan^{4}{\left(\frac{x}{2} \right)} + 8} + \frac{3 \sqrt{2} \left(\operatorname{atan}{\left(\sqrt{2} \tan{\left(\frac{x}{2} \right)} + 1 \right)} + \pi \left\lfloor{\frac{\frac{x}{2} - \frac{\pi}{2}}{\pi}}\right\rfloor\right)}{8 \tan^{4}{\left(\frac{x}{2} \right)} + 8} + \frac{2 \tan^{3}{\left(\frac{x}{2} \right)}}{8 \tan^{4}{\left(\frac{x}{2} \right)} + 8} - \frac{2 \tan{\left(\frac{x}{2} \right)}}{8 \tan^{4}{\left(\frac{x}{2} \right)} + 8}"," ",0,"3*sqrt(2)*(atan(sqrt(2)*tan(x/2) - 1) + pi*floor((x/2 - pi/2)/pi))*tan(x/2)**4/(8*tan(x/2)**4 + 8) + 3*sqrt(2)*(atan(sqrt(2)*tan(x/2) - 1) + pi*floor((x/2 - pi/2)/pi))/(8*tan(x/2)**4 + 8) + 3*sqrt(2)*(atan(sqrt(2)*tan(x/2) + 1) + pi*floor((x/2 - pi/2)/pi))*tan(x/2)**4/(8*tan(x/2)**4 + 8) + 3*sqrt(2)*(atan(sqrt(2)*tan(x/2) + 1) + pi*floor((x/2 - pi/2)/pi))/(8*tan(x/2)**4 + 8) + 2*tan(x/2)**3/(8*tan(x/2)**4 + 8) - 2*tan(x/2)/(8*tan(x/2)**4 + 8)","B",0
46,1,439,0,13.610223," ","integrate(1/(1+cos(x)**2)**3,x)","\frac{19 \sqrt{2} \left(\operatorname{atan}{\left(\sqrt{2} \tan{\left(\frac{x}{2} \right)} - 1 \right)} + \pi \left\lfloor{\frac{\frac{x}{2} - \frac{\pi}{2}}{\pi}}\right\rfloor\right) \tan^{8}{\left(\frac{x}{2} \right)}}{64 \tan^{8}{\left(\frac{x}{2} \right)} + 128 \tan^{4}{\left(\frac{x}{2} \right)} + 64} + \frac{38 \sqrt{2} \left(\operatorname{atan}{\left(\sqrt{2} \tan{\left(\frac{x}{2} \right)} - 1 \right)} + \pi \left\lfloor{\frac{\frac{x}{2} - \frac{\pi}{2}}{\pi}}\right\rfloor\right) \tan^{4}{\left(\frac{x}{2} \right)}}{64 \tan^{8}{\left(\frac{x}{2} \right)} + 128 \tan^{4}{\left(\frac{x}{2} \right)} + 64} + \frac{19 \sqrt{2} \left(\operatorname{atan}{\left(\sqrt{2} \tan{\left(\frac{x}{2} \right)} - 1 \right)} + \pi \left\lfloor{\frac{\frac{x}{2} - \frac{\pi}{2}}{\pi}}\right\rfloor\right)}{64 \tan^{8}{\left(\frac{x}{2} \right)} + 128 \tan^{4}{\left(\frac{x}{2} \right)} + 64} + \frac{19 \sqrt{2} \left(\operatorname{atan}{\left(\sqrt{2} \tan{\left(\frac{x}{2} \right)} + 1 \right)} + \pi \left\lfloor{\frac{\frac{x}{2} - \frac{\pi}{2}}{\pi}}\right\rfloor\right) \tan^{8}{\left(\frac{x}{2} \right)}}{64 \tan^{8}{\left(\frac{x}{2} \right)} + 128 \tan^{4}{\left(\frac{x}{2} \right)} + 64} + \frac{38 \sqrt{2} \left(\operatorname{atan}{\left(\sqrt{2} \tan{\left(\frac{x}{2} \right)} + 1 \right)} + \pi \left\lfloor{\frac{\frac{x}{2} - \frac{\pi}{2}}{\pi}}\right\rfloor\right) \tan^{4}{\left(\frac{x}{2} \right)}}{64 \tan^{8}{\left(\frac{x}{2} \right)} + 128 \tan^{4}{\left(\frac{x}{2} \right)} + 64} + \frac{19 \sqrt{2} \left(\operatorname{atan}{\left(\sqrt{2} \tan{\left(\frac{x}{2} \right)} + 1 \right)} + \pi \left\lfloor{\frac{\frac{x}{2} - \frac{\pi}{2}}{\pi}}\right\rfloor\right)}{64 \tan^{8}{\left(\frac{x}{2} \right)} + 128 \tan^{4}{\left(\frac{x}{2} \right)} + 64} + \frac{22 \tan^{7}{\left(\frac{x}{2} \right)}}{64 \tan^{8}{\left(\frac{x}{2} \right)} + 128 \tan^{4}{\left(\frac{x}{2} \right)} + 64} - \frac{14 \tan^{5}{\left(\frac{x}{2} \right)}}{64 \tan^{8}{\left(\frac{x}{2} \right)} + 128 \tan^{4}{\left(\frac{x}{2} \right)} + 64} + \frac{14 \tan^{3}{\left(\frac{x}{2} \right)}}{64 \tan^{8}{\left(\frac{x}{2} \right)} + 128 \tan^{4}{\left(\frac{x}{2} \right)} + 64} - \frac{22 \tan{\left(\frac{x}{2} \right)}}{64 \tan^{8}{\left(\frac{x}{2} \right)} + 128 \tan^{4}{\left(\frac{x}{2} \right)} + 64}"," ",0,"19*sqrt(2)*(atan(sqrt(2)*tan(x/2) - 1) + pi*floor((x/2 - pi/2)/pi))*tan(x/2)**8/(64*tan(x/2)**8 + 128*tan(x/2)**4 + 64) + 38*sqrt(2)*(atan(sqrt(2)*tan(x/2) - 1) + pi*floor((x/2 - pi/2)/pi))*tan(x/2)**4/(64*tan(x/2)**8 + 128*tan(x/2)**4 + 64) + 19*sqrt(2)*(atan(sqrt(2)*tan(x/2) - 1) + pi*floor((x/2 - pi/2)/pi))/(64*tan(x/2)**8 + 128*tan(x/2)**4 + 64) + 19*sqrt(2)*(atan(sqrt(2)*tan(x/2) + 1) + pi*floor((x/2 - pi/2)/pi))*tan(x/2)**8/(64*tan(x/2)**8 + 128*tan(x/2)**4 + 64) + 38*sqrt(2)*(atan(sqrt(2)*tan(x/2) + 1) + pi*floor((x/2 - pi/2)/pi))*tan(x/2)**4/(64*tan(x/2)**8 + 128*tan(x/2)**4 + 64) + 19*sqrt(2)*(atan(sqrt(2)*tan(x/2) + 1) + pi*floor((x/2 - pi/2)/pi))/(64*tan(x/2)**8 + 128*tan(x/2)**4 + 64) + 22*tan(x/2)**7/(64*tan(x/2)**8 + 128*tan(x/2)**4 + 64) - 14*tan(x/2)**5/(64*tan(x/2)**8 + 128*tan(x/2)**4 + 64) + 14*tan(x/2)**3/(64*tan(x/2)**8 + 128*tan(x/2)**4 + 64) - 22*tan(x/2)/(64*tan(x/2)**8 + 128*tan(x/2)**4 + 64)","B",0
47,0,0,0,0.000000," ","integrate((1-cos(x)**2)**(1/2),x)","\int \sqrt{1 - \cos^{2}{\left(x \right)}}\, dx"," ",0,"Integral(sqrt(1 - cos(x)**2), x)","F",0
48,0,0,0,0.000000," ","integrate((-1+cos(x)**2)**(1/2),x)","\int \sqrt{\cos^{2}{\left(x \right)} - 1}\, dx"," ",0,"Integral(sqrt(cos(x)**2 - 1), x)","F",0
49,0,0,0,0.000000," ","integrate((1-cos(x)**2)**(3/2),x)","\int \left(1 - \cos^{2}{\left(x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((1 - cos(x)**2)**(3/2), x)","F",0
50,0,0,0,0.000000," ","integrate((-1+cos(x)**2)**(3/2),x)","\int \left(\cos^{2}{\left(x \right)} - 1\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((cos(x)**2 - 1)**(3/2), x)","F",0
51,0,0,0,0.000000," ","integrate(1/(1-cos(x)**2)**(1/2),x)","\int \frac{1}{\sqrt{1 - \cos^{2}{\left(x \right)}}}\, dx"," ",0,"Integral(1/sqrt(1 - cos(x)**2), x)","F",0
52,0,0,0,0.000000," ","integrate(1/(-1+cos(x)**2)**(1/2),x)","\int \frac{1}{\sqrt{\cos^{2}{\left(x \right)} - 1}}\, dx"," ",0,"Integral(1/sqrt(cos(x)**2 - 1), x)","F",0
53,0,0,0,0.000000," ","integrate(1/(1-cos(x)**2)**(3/2),x)","\int \frac{1}{\left(1 - \cos^{2}{\left(x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((1 - cos(x)**2)**(-3/2), x)","F",0
54,0,0,0,0.000000," ","integrate(1/(-1+cos(x)**2)**(3/2),x)","\int \frac{1}{\left(\cos^{2}{\left(x \right)} - 1\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((cos(x)**2 - 1)**(-3/2), x)","F",0
55,0,0,0,0.000000," ","integrate((1+cos(x)**2)**(1/2),x)","\int \sqrt{\cos^{2}{\left(x \right)} + 1}\, dx"," ",0,"Integral(sqrt(cos(x)**2 + 1), x)","F",0
56,0,0,0,0.000000," ","integrate((-1-cos(x)**2)**(1/2),x)","\int \sqrt{- \cos^{2}{\left(x \right)} - 1}\, dx"," ",0,"Integral(sqrt(-cos(x)**2 - 1), x)","F",0
57,0,0,0,0.000000," ","integrate((a+b*cos(x)**2)**(1/2),x)","\int \sqrt{a + b \cos^{2}{\left(x \right)}}\, dx"," ",0,"Integral(sqrt(a + b*cos(x)**2), x)","F",0
58,0,0,0,0.000000," ","integrate((1+cos(x)**2)**(3/2),x)","\int \left(\cos^{2}{\left(x \right)} + 1\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((cos(x)**2 + 1)**(3/2), x)","F",0
59,0,0,0,0.000000," ","integrate((-1-cos(x)**2)**(3/2),x)","\int \left(- \cos^{2}{\left(x \right)} - 1\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((-cos(x)**2 - 1)**(3/2), x)","F",0
60,-1,0,0,0.000000," ","integrate((a+b*cos(x)**2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
61,0,0,0,0.000000," ","integrate(1/(1+cos(x)**2)**(1/2),x)","\int \frac{1}{\sqrt{\cos^{2}{\left(x \right)} + 1}}\, dx"," ",0,"Integral(1/sqrt(cos(x)**2 + 1), x)","F",0
62,0,0,0,0.000000," ","integrate(1/(-1-cos(x)**2)**(1/2),x)","\int \frac{1}{\sqrt{- \cos^{2}{\left(x \right)} - 1}}\, dx"," ",0,"Integral(1/sqrt(-cos(x)**2 - 1), x)","F",0
63,0,0,0,0.000000," ","integrate(1/(a+b*cos(x)**2)**(1/2),x)","\int \frac{1}{\sqrt{a + b \cos^{2}{\left(x \right)}}}\, dx"," ",0,"Integral(1/sqrt(a + b*cos(x)**2), x)","F",0
64,0,0,0,0.000000," ","integrate(1/(1+cos(x)**2)**(3/2),x)","\int \frac{1}{\left(\cos^{2}{\left(x \right)} + 1\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((cos(x)**2 + 1)**(-3/2), x)","F",0
65,0,0,0,0.000000," ","integrate(1/(-1-cos(x)**2)**(3/2),x)","\int \frac{1}{\left(- \cos^{2}{\left(x \right)} - 1\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((-cos(x)**2 - 1)**(-3/2), x)","F",0
66,0,0,0,0.000000," ","integrate(1/(a+b*cos(x)**2)**(3/2),x)","\int \frac{1}{\left(a + b \cos^{2}{\left(x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*cos(x)**2)**(-3/2), x)","F",0
67,0,0,0,0.000000," ","integrate(cos(x)/(1+cos(x)**2)**(1/2),x)","\int \frac{\cos{\left(x \right)}}{\sqrt{\cos^{2}{\left(x \right)} + 1}}\, dx"," ",0,"Integral(cos(x)/sqrt(cos(x)**2 + 1), x)","F",0
68,0,0,0,0.000000," ","integrate(cos(5+3*x)/(3+cos(5+3*x)**2)**(1/2),x)","\int \frac{\cos{\left(3 x + 5 \right)}}{\sqrt{\cos^{2}{\left(3 x + 5 \right)} + 3}}\, dx"," ",0,"Integral(cos(3*x + 5)/sqrt(cos(3*x + 5)**2 + 3), x)","F",0
69,0,0,0,0.000000," ","integrate(cos(x)/(4-cos(x)**2)**(1/2),x)","\int \frac{\cos{\left(x \right)}}{\sqrt{- \left(\cos{\left(x \right)} - 2\right) \left(\cos{\left(x \right)} + 2\right)}}\, dx"," ",0,"Integral(cos(x)/sqrt(-(cos(x) - 2)*(cos(x) + 2)), x)","F",0
70,-1,0,0,0.000000," ","integrate(1/(a+b*cos(x)**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
71,-1,0,0,0.000000," ","integrate(1/(a-b*cos(x)**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
72,-1,0,0,0.000000," ","integrate(1/(1+cos(x)**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
73,1,78,0,1.984610," ","integrate(1/(1-cos(x)**4),x)","\frac{\sqrt{2} \left(\operatorname{atan}{\left(\sqrt{2} \tan{\left(\frac{x}{2} \right)} - 1 \right)} + \pi \left\lfloor{\frac{\frac{x}{2} - \frac{\pi}{2}}{\pi}}\right\rfloor\right)}{4} + \frac{\sqrt{2} \left(\operatorname{atan}{\left(\sqrt{2} \tan{\left(\frac{x}{2} \right)} + 1 \right)} + \pi \left\lfloor{\frac{\frac{x}{2} - \frac{\pi}{2}}{\pi}}\right\rfloor\right)}{4} + \frac{\tan{\left(\frac{x}{2} \right)}}{4} - \frac{1}{4 \tan{\left(\frac{x}{2} \right)}}"," ",0,"sqrt(2)*(atan(sqrt(2)*tan(x/2) - 1) + pi*floor((x/2 - pi/2)/pi))/4 + sqrt(2)*(atan(sqrt(2)*tan(x/2) + 1) + pi*floor((x/2 - pi/2)/pi))/4 + tan(x/2)/4 - 1/(4*tan(x/2))","A",0
74,0,0,0,0.000000," ","integrate(1/(a+b*cos(x)**5),x)","\int \frac{1}{a + b \cos^{5}{\left(x \right)}}\, dx"," ",0,"Integral(1/(a + b*cos(x)**5), x)","F",0
75,0,0,0,0.000000," ","integrate(1/(a+b*cos(x)**6),x)","\int \frac{1}{a + b \cos^{6}{\left(x \right)}}\, dx"," ",0,"Integral(1/(a + b*cos(x)**6), x)","F",0
76,0,0,0,0.000000," ","integrate(1/(a+b*cos(x)**8),x)","\int \frac{1}{a + b \cos^{8}{\left(x \right)}}\, dx"," ",0,"Integral(1/(a + b*cos(x)**8), x)","F",0
77,0,0,0,0.000000," ","integrate(1/(a-b*cos(x)**5),x)","\int \frac{1}{a - b \cos^{5}{\left(x \right)}}\, dx"," ",0,"Integral(1/(a - b*cos(x)**5), x)","F",0
78,0,0,0,0.000000," ","integrate(1/(a-b*cos(x)**6),x)","\int \frac{1}{a - b \cos^{6}{\left(x \right)}}\, dx"," ",0,"Integral(1/(a - b*cos(x)**6), x)","F",0
79,0,0,0,0.000000," ","integrate(1/(a-b*cos(x)**8),x)","\int \frac{1}{a - b \cos^{8}{\left(x \right)}}\, dx"," ",0,"Integral(1/(a - b*cos(x)**8), x)","F",0
80,-1,0,0,0.000000," ","integrate(1/(1+cos(x)**5),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
81,-1,0,0,0.000000," ","integrate(1/(1+cos(x)**6),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
82,-1,0,0,0.000000," ","integrate(1/(1+cos(x)**8),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
83,-1,0,0,0.000000," ","integrate(1/(1-cos(x)**5),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
84,1,728,0,23.605542," ","integrate(1/(1-cos(x)**6),x)","\frac{\sqrt{2} \cdot 3^{\frac{3}{4}} \left(\operatorname{atan}{\left(\sqrt{2} \sqrt[4]{3} \tan{\left(\frac{x}{2} \right)} - 1 \right)} + \pi \left\lfloor{\frac{\frac{x}{2} - \frac{\pi}{2}}{\pi}}\right\rfloor\right)}{36} + \frac{\sqrt{2} \sqrt[4]{3} \left(\operatorname{atan}{\left(\sqrt{2} \sqrt[4]{3} \tan{\left(\frac{x}{2} \right)} - 1 \right)} + \pi \left\lfloor{\frac{\frac{x}{2} - \frac{\pi}{2}}{\pi}}\right\rfloor\right)}{12} + \frac{\sqrt{2} \cdot 3^{\frac{3}{4}} \left(\operatorname{atan}{\left(\sqrt{2} \sqrt[4]{3} \tan{\left(\frac{x}{2} \right)} + 1 \right)} + \pi \left\lfloor{\frac{\frac{x}{2} - \frac{\pi}{2}}{\pi}}\right\rfloor\right)}{36} + \frac{\sqrt{2} \sqrt[4]{3} \left(\operatorname{atan}{\left(\sqrt{2} \sqrt[4]{3} \tan{\left(\frac{x}{2} \right)} + 1 \right)} + \pi \left\lfloor{\frac{\frac{x}{2} - \frac{\pi}{2}}{\pi}}\right\rfloor\right)}{12} + \frac{\sqrt{2} \cdot 3^{\frac{3}{4}} \left(\operatorname{atan}{\left(\frac{\sqrt{2} \cdot 3^{\frac{3}{4}} \tan{\left(\frac{x}{2} \right)}}{3} - 1 \right)} + \pi \left\lfloor{\frac{\frac{x}{2} - \frac{\pi}{2}}{\pi}}\right\rfloor\right)}{36} + \frac{\sqrt{2} \sqrt[4]{3} \left(\operatorname{atan}{\left(\frac{\sqrt{2} \cdot 3^{\frac{3}{4}} \tan{\left(\frac{x}{2} \right)}}{3} - 1 \right)} + \pi \left\lfloor{\frac{\frac{x}{2} - \frac{\pi}{2}}{\pi}}\right\rfloor\right)}{12} + \frac{\sqrt{2} \cdot 3^{\frac{3}{4}} \left(\operatorname{atan}{\left(\frac{\sqrt{2} \cdot 3^{\frac{3}{4}} \tan{\left(\frac{x}{2} \right)}}{3} + 1 \right)} + \pi \left\lfloor{\frac{\frac{x}{2} - \frac{\pi}{2}}{\pi}}\right\rfloor\right)}{36} + \frac{\sqrt{2} \sqrt[4]{3} \left(\operatorname{atan}{\left(\frac{\sqrt{2} \cdot 3^{\frac{3}{4}} \tan{\left(\frac{x}{2} \right)}}{3} + 1 \right)} + \pi \left\lfloor{\frac{\frac{x}{2} - \frac{\pi}{2}}{\pi}}\right\rfloor\right)}{12} - \frac{\sqrt{2} \sqrt[4]{3} \log{\left(4 \tan^{2}{\left(\frac{x}{2} \right)} - 4 \sqrt{2} \sqrt[4]{3} \tan{\left(\frac{x}{2} \right)} + 4 \sqrt{3} \right)}}{24} + \frac{\sqrt{2} \cdot 3^{\frac{3}{4}} \log{\left(4 \tan^{2}{\left(\frac{x}{2} \right)} - 4 \sqrt{2} \sqrt[4]{3} \tan{\left(\frac{x}{2} \right)} + 4 \sqrt{3} \right)}}{72} - \frac{\sqrt{2} \cdot 3^{\frac{3}{4}} \log{\left(4 \tan^{2}{\left(\frac{x}{2} \right)} + 4 \sqrt{2} \sqrt[4]{3} \tan{\left(\frac{x}{2} \right)} + 4 \sqrt{3} \right)}}{72} + \frac{\sqrt{2} \sqrt[4]{3} \log{\left(4 \tan^{2}{\left(\frac{x}{2} \right)} + 4 \sqrt{2} \sqrt[4]{3} \tan{\left(\frac{x}{2} \right)} + 4 \sqrt{3} \right)}}{24} - \frac{\sqrt{2} \cdot 3^{\frac{3}{4}} \log{\left(36 \tan^{2}{\left(\frac{x}{2} \right)} - 12 \sqrt{2} \cdot 3^{\frac{3}{4}} \tan{\left(\frac{x}{2} \right)} + 12 \sqrt{3} \right)}}{72} + \frac{\sqrt{2} \sqrt[4]{3} \log{\left(36 \tan^{2}{\left(\frac{x}{2} \right)} - 12 \sqrt{2} \cdot 3^{\frac{3}{4}} \tan{\left(\frac{x}{2} \right)} + 12 \sqrt{3} \right)}}{24} - \frac{\sqrt{2} \sqrt[4]{3} \log{\left(36 \tan^{2}{\left(\frac{x}{2} \right)} + 12 \sqrt{2} \cdot 3^{\frac{3}{4}} \tan{\left(\frac{x}{2} \right)} + 12 \sqrt{3} \right)}}{24} + \frac{\sqrt{2} \cdot 3^{\frac{3}{4}} \log{\left(36 \tan^{2}{\left(\frac{x}{2} \right)} + 12 \sqrt{2} \cdot 3^{\frac{3}{4}} \tan{\left(\frac{x}{2} \right)} + 12 \sqrt{3} \right)}}{72} + \frac{\tan{\left(\frac{x}{2} \right)}}{6} - \frac{1}{6 \tan{\left(\frac{x}{2} \right)}}"," ",0,"sqrt(2)*3**(3/4)*(atan(sqrt(2)*3**(1/4)*tan(x/2) - 1) + pi*floor((x/2 - pi/2)/pi))/36 + sqrt(2)*3**(1/4)*(atan(sqrt(2)*3**(1/4)*tan(x/2) - 1) + pi*floor((x/2 - pi/2)/pi))/12 + sqrt(2)*3**(3/4)*(atan(sqrt(2)*3**(1/4)*tan(x/2) + 1) + pi*floor((x/2 - pi/2)/pi))/36 + sqrt(2)*3**(1/4)*(atan(sqrt(2)*3**(1/4)*tan(x/2) + 1) + pi*floor((x/2 - pi/2)/pi))/12 + sqrt(2)*3**(3/4)*(atan(sqrt(2)*3**(3/4)*tan(x/2)/3 - 1) + pi*floor((x/2 - pi/2)/pi))/36 + sqrt(2)*3**(1/4)*(atan(sqrt(2)*3**(3/4)*tan(x/2)/3 - 1) + pi*floor((x/2 - pi/2)/pi))/12 + sqrt(2)*3**(3/4)*(atan(sqrt(2)*3**(3/4)*tan(x/2)/3 + 1) + pi*floor((x/2 - pi/2)/pi))/36 + sqrt(2)*3**(1/4)*(atan(sqrt(2)*3**(3/4)*tan(x/2)/3 + 1) + pi*floor((x/2 - pi/2)/pi))/12 - sqrt(2)*3**(1/4)*log(4*tan(x/2)**2 - 4*sqrt(2)*3**(1/4)*tan(x/2) + 4*sqrt(3))/24 + sqrt(2)*3**(3/4)*log(4*tan(x/2)**2 - 4*sqrt(2)*3**(1/4)*tan(x/2) + 4*sqrt(3))/72 - sqrt(2)*3**(3/4)*log(4*tan(x/2)**2 + 4*sqrt(2)*3**(1/4)*tan(x/2) + 4*sqrt(3))/72 + sqrt(2)*3**(1/4)*log(4*tan(x/2)**2 + 4*sqrt(2)*3**(1/4)*tan(x/2) + 4*sqrt(3))/24 - sqrt(2)*3**(3/4)*log(36*tan(x/2)**2 - 12*sqrt(2)*3**(3/4)*tan(x/2) + 12*sqrt(3))/72 + sqrt(2)*3**(1/4)*log(36*tan(x/2)**2 - 12*sqrt(2)*3**(3/4)*tan(x/2) + 12*sqrt(3))/24 - sqrt(2)*3**(1/4)*log(36*tan(x/2)**2 + 12*sqrt(2)*3**(3/4)*tan(x/2) + 12*sqrt(3))/24 + sqrt(2)*3**(3/4)*log(36*tan(x/2)**2 + 12*sqrt(2)*3**(3/4)*tan(x/2) + 12*sqrt(3))/72 + tan(x/2)/6 - 1/(6*tan(x/2))","B",0
85,-1,0,0,0.000000," ","integrate(1/(1-cos(x)**8),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
86,0,0,0,0.000000," ","integrate(tan(x)/(1+cos(x)**2),x)","\int \frac{\tan{\left(x \right)}}{\cos^{2}{\left(x \right)} + 1}\, dx"," ",0,"Integral(tan(x)/(cos(x)**2 + 1), x)","F",0
87,0,0,0,0.000000," ","integrate((a+b*cos(x)**2)**(1/2)*tan(x),x)","\int \sqrt{a + b \cos^{2}{\left(x \right)}} \tan{\left(x \right)}\, dx"," ",0,"Integral(sqrt(a + b*cos(x)**2)*tan(x), x)","F",0
88,0,0,0,0.000000," ","integrate((1-cos(x)**2)**(1/2)*tan(x),x)","\int \sqrt{- \left(\cos{\left(x \right)} - 1\right) \left(\cos{\left(x \right)} + 1\right)} \tan{\left(x \right)}\, dx"," ",0,"Integral(sqrt(-(cos(x) - 1)*(cos(x) + 1))*tan(x), x)","F",0
89,0,0,0,0.000000," ","integrate(tan(x)/(a+b*cos(x)**2)**(1/2),x)","\int \frac{\tan{\left(x \right)}}{\sqrt{a + b \cos^{2}{\left(x \right)}}}\, dx"," ",0,"Integral(tan(x)/sqrt(a + b*cos(x)**2), x)","F",0
90,0,0,0,0.000000," ","integrate(tan(x)/(1+cos(x)**2)**(1/2),x)","\int \frac{\tan{\left(x \right)}}{\sqrt{\cos^{2}{\left(x \right)} + 1}}\, dx"," ",0,"Integral(tan(x)/sqrt(cos(x)**2 + 1), x)","F",0
91,0,0,0,0.000000," ","integrate(tan(x)/(1-cos(x)**2)**(1/2),x)","\int \frac{\tan{\left(x \right)}}{\sqrt{- \left(\cos{\left(x \right)} - 1\right) \left(\cos{\left(x \right)} + 1\right)}}\, dx"," ",0,"Integral(tan(x)/sqrt(-(cos(x) - 1)*(cos(x) + 1)), x)","F",0
92,0,0,0,0.000000," ","integrate(tan(x)**3/(a+b*cos(x)**3),x)","\int \frac{\tan^{3}{\left(x \right)}}{a + b \cos^{3}{\left(x \right)}}\, dx"," ",0,"Integral(tan(x)**3/(a + b*cos(x)**3), x)","F",0
93,0,0,0,0.000000," ","integrate((a+b*cos(x)**3)**(1/2)*tan(x),x)","\int \sqrt{a + b \cos^{3}{\left(x \right)}} \tan{\left(x \right)}\, dx"," ",0,"Integral(sqrt(a + b*cos(x)**3)*tan(x), x)","F",0
94,0,0,0,0.000000," ","integrate(tan(x)/(a+b*cos(x)**3)**(1/2),x)","\int \frac{\tan{\left(x \right)}}{\sqrt{a + b \cos^{3}{\left(x \right)}}}\, dx"," ",0,"Integral(tan(x)/sqrt(a + b*cos(x)**3), x)","F",0
95,0,0,0,0.000000," ","integrate((a+b*cos(x)**4)**(1/2)*tan(x),x)","\int \sqrt{a + b \cos^{4}{\left(x \right)}} \tan{\left(x \right)}\, dx"," ",0,"Integral(sqrt(a + b*cos(x)**4)*tan(x), x)","F",0
96,0,0,0,0.000000," ","integrate(tan(x)/(a+b*cos(x)**4)**(1/2),x)","\int \frac{\tan{\left(x \right)}}{\sqrt{a + b \cos^{4}{\left(x \right)}}}\, dx"," ",0,"Integral(tan(x)/sqrt(a + b*cos(x)**4), x)","F",0
97,0,0,0,0.000000," ","integrate((a+b*cos(x)**n)**(1/2)*tan(x),x)","\int \sqrt{a + b \cos^{n}{\left(x \right)}} \tan{\left(x \right)}\, dx"," ",0,"Integral(sqrt(a + b*cos(x)**n)*tan(x), x)","F",0
98,0,0,0,0.000000," ","integrate(tan(x)/(a+b*cos(x)**n)**(1/2),x)","\int \frac{\tan{\left(x \right)}}{\sqrt{a + b \cos^{n}{\left(x \right)}}}\, dx"," ",0,"Integral(tan(x)/sqrt(a + b*cos(x)**n), x)","F",0
