1,0,0,0,0.000000," ","integrate(x**3*cot(b*x+a),x)","\int x^{3} \cot{\left(a + b x \right)}\, dx"," ",0,"Integral(x**3*cot(a + b*x), x)","F",0
2,0,0,0,0.000000," ","integrate(x**2*cot(b*x+a),x)","\int x^{2} \cot{\left(a + b x \right)}\, dx"," ",0,"Integral(x**2*cot(a + b*x), x)","F",0
3,0,0,0,0.000000," ","integrate(x*cot(b*x+a),x)","\int x \cot{\left(a + b x \right)}\, dx"," ",0,"Integral(x*cot(a + b*x), x)","F",0
4,0,0,0,0.000000," ","integrate(cot(b*x+a)/x,x)","\int \frac{\cot{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(cot(a + b*x)/x, x)","F",0
5,0,0,0,0.000000," ","integrate(cot(b*x+a)/x**2,x)","\int \frac{\cot{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(cot(a + b*x)/x**2, x)","F",0
6,0,0,0,0.000000," ","integrate(x**3*cot(b*x+a)**2,x)","\int x^{3} \cot^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**3*cot(a + b*x)**2, x)","F",0
7,0,0,0,0.000000," ","integrate(x**2*cot(b*x+a)**2,x)","\int x^{2} \cot^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**2*cot(a + b*x)**2, x)","F",0
8,1,68,0,0.460320," ","integrate(x*cot(b*x+a)**2,x)","\begin{cases} \tilde{\infty} x^{2} & \text{for}\: \left(a = 0 \vee a = - b x\right) \wedge \left(a = - b x \vee b = 0\right) \\\frac{x^{2} \cot^{2}{\left(a \right)}}{2} & \text{for}\: b = 0 \\- \frac{x^{2}}{2} - \frac{x}{b \tan{\left(a + b x \right)}} - \frac{\log{\left(\tan^{2}{\left(a + b x \right)} + 1 \right)}}{2 b^{2}} + \frac{\log{\left(\tan{\left(a + b x \right)} \right)}}{b^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x**2, (Eq(a, 0) | Eq(a, -b*x)) & (Eq(b, 0) | Eq(a, -b*x))), (x**2*cot(a)**2/2, Eq(b, 0)), (-x**2/2 - x/(b*tan(a + b*x)) - log(tan(a + b*x)**2 + 1)/(2*b**2) + log(tan(a + b*x))/b**2, True))","A",0
9,0,0,0,0.000000," ","integrate(cot(b*x+a)**2/x,x)","\int \frac{\cot^{2}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(cot(a + b*x)**2/x, x)","F",0
10,0,0,0,0.000000," ","integrate(cot(b*x+a)**2/x**2,x)","\int \frac{\cot^{2}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(cot(a + b*x)**2/x**2, x)","F",0
11,0,0,0,0.000000," ","integrate(x**3*cot(b*x+a)**3,x)","\int x^{3} \cot^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**3*cot(a + b*x)**3, x)","F",0
12,0,0,0,0.000000," ","integrate(x**2*cot(b*x+a)**3,x)","\int x^{2} \cot^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**2*cot(a + b*x)**3, x)","F",0
13,0,0,0,0.000000," ","integrate(x*cot(b*x+a)**3,x)","\int x \cot^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(x*cot(a + b*x)**3, x)","F",0
14,0,0,0,0.000000," ","integrate(cot(b*x+a)**3/x,x)","\int \frac{\cot^{3}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(cot(a + b*x)**3/x, x)","F",0
15,0,0,0,0.000000," ","integrate(cot(b*x+a)**3/x**2,x)","\int \frac{\cot^{3}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(cot(a + b*x)**3/x**2, x)","F",0
16,1,318,0,0.365427," ","integrate((d*x+c)**3/(a+I*a*cot(f*x+e)),x)","\begin{cases} - \frac{\left(- 4 i c^{3} f^{3} e^{2 i e} - 12 i c^{2} d f^{3} x e^{2 i e} + 6 c^{2} d f^{2} e^{2 i e} - 12 i c d^{2} f^{3} x^{2} e^{2 i e} + 12 c d^{2} f^{2} x e^{2 i e} + 6 i c d^{2} f e^{2 i e} - 4 i d^{3} f^{3} x^{3} e^{2 i e} + 6 d^{3} f^{2} x^{2} e^{2 i e} + 6 i d^{3} f x e^{2 i e} - 3 d^{3} e^{2 i e}\right) e^{2 i f x}}{16 a f^{4}} & \text{for}\: 16 a f^{4} \neq 0 \\- \frac{c^{3} x e^{2 i e}}{2 a} - \frac{3 c^{2} d x^{2} e^{2 i e}}{4 a} - \frac{c d^{2} x^{3} e^{2 i e}}{2 a} - \frac{d^{3} x^{4} e^{2 i e}}{8 a} & \text{otherwise} \end{cases} + \frac{c^{3} x}{2 a} + \frac{3 c^{2} d x^{2}}{4 a} + \frac{c d^{2} x^{3}}{2 a} + \frac{d^{3} x^{4}}{8 a}"," ",0,"Piecewise((-(-4*I*c**3*f**3*exp(2*I*e) - 12*I*c**2*d*f**3*x*exp(2*I*e) + 6*c**2*d*f**2*exp(2*I*e) - 12*I*c*d**2*f**3*x**2*exp(2*I*e) + 12*c*d**2*f**2*x*exp(2*I*e) + 6*I*c*d**2*f*exp(2*I*e) - 4*I*d**3*f**3*x**3*exp(2*I*e) + 6*d**3*f**2*x**2*exp(2*I*e) + 6*I*d**3*f*x*exp(2*I*e) - 3*d**3*exp(2*I*e))*exp(2*I*f*x)/(16*a*f**4), Ne(16*a*f**4, 0)), (-c**3*x*exp(2*I*e)/(2*a) - 3*c**2*d*x**2*exp(2*I*e)/(4*a) - c*d**2*x**3*exp(2*I*e)/(2*a) - d**3*x**4*exp(2*I*e)/(8*a), True)) + c**3*x/(2*a) + 3*c**2*d*x**2/(4*a) + c*d**2*x**3/(2*a) + d**3*x**4/(8*a)","A",0
17,1,197,0,0.287074," ","integrate((d*x+c)**2/(a+I*a*cot(f*x+e)),x)","\begin{cases} - \frac{\left(- 2 i c^{2} f^{2} e^{2 i e} - 4 i c d f^{2} x e^{2 i e} + 2 c d f e^{2 i e} - 2 i d^{2} f^{2} x^{2} e^{2 i e} + 2 d^{2} f x e^{2 i e} + i d^{2} e^{2 i e}\right) e^{2 i f x}}{8 a f^{3}} & \text{for}\: 8 a f^{3} \neq 0 \\- \frac{c^{2} x e^{2 i e}}{2 a} - \frac{c d x^{2} e^{2 i e}}{2 a} - \frac{d^{2} x^{3} e^{2 i e}}{6 a} & \text{otherwise} \end{cases} + \frac{c^{2} x}{2 a} + \frac{c d x^{2}}{2 a} + \frac{d^{2} x^{3}}{6 a}"," ",0,"Piecewise((-(-2*I*c**2*f**2*exp(2*I*e) - 4*I*c*d*f**2*x*exp(2*I*e) + 2*c*d*f*exp(2*I*e) - 2*I*d**2*f**2*x**2*exp(2*I*e) + 2*d**2*f*x*exp(2*I*e) + I*d**2*exp(2*I*e))*exp(2*I*f*x)/(8*a*f**3), Ne(8*a*f**3, 0)), (-c**2*x*exp(2*I*e)/(2*a) - c*d*x**2*exp(2*I*e)/(2*a) - d**2*x**3*exp(2*I*e)/(6*a), True)) + c**2*x/(2*a) + c*d*x**2/(2*a) + d**2*x**3/(6*a)","A",0
18,1,104,0,0.226476," ","integrate((d*x+c)/(a+I*a*cot(f*x+e)),x)","\begin{cases} - \frac{\left(- 2 i c f e^{2 i e} - 2 i d f x e^{2 i e} + d e^{2 i e}\right) e^{2 i f x}}{8 a f^{2}} & \text{for}\: 8 a f^{2} \neq 0 \\- \frac{c x e^{2 i e}}{2 a} - \frac{d x^{2} e^{2 i e}}{4 a} & \text{otherwise} \end{cases} + \frac{c x}{2 a} + \frac{d x^{2}}{4 a}"," ",0,"Piecewise((-(-2*I*c*f*exp(2*I*e) - 2*I*d*f*x*exp(2*I*e) + d*exp(2*I*e))*exp(2*I*f*x)/(8*a*f**2), Ne(8*a*f**2, 0)), (-c*x*exp(2*I*e)/(2*a) - d*x**2*exp(2*I*e)/(4*a), True)) + c*x/(2*a) + d*x**2/(4*a)","A",0
19,0,0,0,0.000000," ","integrate(1/(d*x+c)/(a+I*a*cot(f*x+e)),x)","- \frac{i \int \frac{1}{c \cot{\left(e + f x \right)} - i c + d x \cot{\left(e + f x \right)} - i d x}\, dx}{a}"," ",0,"-I*Integral(1/(c*cot(e + f*x) - I*c + d*x*cot(e + f*x) - I*d*x), x)/a","F",0
20,0,0,0,0.000000," ","integrate(1/(d*x+c)**2/(a+I*a*cot(f*x+e)),x)","- \frac{i \int \frac{1}{c^{2} \cot{\left(e + f x \right)} - i c^{2} + 2 c d x \cot{\left(e + f x \right)} - 2 i c d x + d^{2} x^{2} \cot{\left(e + f x \right)} - i d^{2} x^{2}}\, dx}{a}"," ",0,"-I*Integral(1/(c**2*cot(e + f*x) - I*c**2 + 2*c*d*x*cot(e + f*x) - 2*I*c*d*x + d**2*x**2*cot(e + f*x) - I*d**2*x**2), x)/a","F",0
21,0,0,0,0.000000," ","integrate(1/(d*x+c)**3/(a+I*a*cot(f*x+e)),x)","- \frac{i \int \frac{1}{c^{3} \cot{\left(e + f x \right)} - i c^{3} + 3 c^{2} d x \cot{\left(e + f x \right)} - 3 i c^{2} d x + 3 c d^{2} x^{2} \cot{\left(e + f x \right)} - 3 i c d^{2} x^{2} + d^{3} x^{3} \cot{\left(e + f x \right)} - i d^{3} x^{3}}\, dx}{a}"," ",0,"-I*Integral(1/(c**3*cot(e + f*x) - I*c**3 + 3*c**2*d*x*cot(e + f*x) - 3*I*c**2*d*x + 3*c*d**2*x**2*cot(e + f*x) - 3*I*c*d**2*x**2 + d**3*x**3*cot(e + f*x) - I*d**3*x**3), x)/a","F",0
22,1,653,0,0.636192," ","integrate((d*x+c)**3/(a+I*a*cot(f*x+e))**2,x)","\begin{cases} \frac{\left(2048 i a^{2} c^{3} f^{7} e^{2 i e} + 6144 i a^{2} c^{2} d f^{7} x e^{2 i e} - 3072 a^{2} c^{2} d f^{6} e^{2 i e} + 6144 i a^{2} c d^{2} f^{7} x^{2} e^{2 i e} - 6144 a^{2} c d^{2} f^{6} x e^{2 i e} - 3072 i a^{2} c d^{2} f^{5} e^{2 i e} + 2048 i a^{2} d^{3} f^{7} x^{3} e^{2 i e} - 3072 a^{2} d^{3} f^{6} x^{2} e^{2 i e} - 3072 i a^{2} d^{3} f^{5} x e^{2 i e} + 1536 a^{2} d^{3} f^{4} e^{2 i e}\right) e^{2 i f x} + \left(- 512 i a^{2} c^{3} f^{7} e^{4 i e} - 1536 i a^{2} c^{2} d f^{7} x e^{4 i e} + 384 a^{2} c^{2} d f^{6} e^{4 i e} - 1536 i a^{2} c d^{2} f^{7} x^{2} e^{4 i e} + 768 a^{2} c d^{2} f^{6} x e^{4 i e} + 192 i a^{2} c d^{2} f^{5} e^{4 i e} - 512 i a^{2} d^{3} f^{7} x^{3} e^{4 i e} + 384 a^{2} d^{3} f^{6} x^{2} e^{4 i e} + 192 i a^{2} d^{3} f^{5} x e^{4 i e} - 48 a^{2} d^{3} f^{4} e^{4 i e}\right) e^{4 i f x}}{8192 a^{4} f^{8}} & \text{for}\: 8192 a^{4} f^{8} \neq 0 \\\frac{x^{4} \left(d^{3} e^{4 i e} - 2 d^{3} e^{2 i e}\right)}{16 a^{2}} + \frac{x^{3} \left(c d^{2} e^{4 i e} - 2 c d^{2} e^{2 i e}\right)}{4 a^{2}} + \frac{x^{2} \left(3 c^{2} d e^{4 i e} - 6 c^{2} d e^{2 i e}\right)}{8 a^{2}} + \frac{x \left(c^{3} e^{4 i e} - 2 c^{3} e^{2 i e}\right)}{4 a^{2}} & \text{otherwise} \end{cases} + \frac{c^{3} x}{4 a^{2}} + \frac{3 c^{2} d x^{2}}{8 a^{2}} + \frac{c d^{2} x^{3}}{4 a^{2}} + \frac{d^{3} x^{4}}{16 a^{2}}"," ",0,"Piecewise((((2048*I*a**2*c**3*f**7*exp(2*I*e) + 6144*I*a**2*c**2*d*f**7*x*exp(2*I*e) - 3072*a**2*c**2*d*f**6*exp(2*I*e) + 6144*I*a**2*c*d**2*f**7*x**2*exp(2*I*e) - 6144*a**2*c*d**2*f**6*x*exp(2*I*e) - 3072*I*a**2*c*d**2*f**5*exp(2*I*e) + 2048*I*a**2*d**3*f**7*x**3*exp(2*I*e) - 3072*a**2*d**3*f**6*x**2*exp(2*I*e) - 3072*I*a**2*d**3*f**5*x*exp(2*I*e) + 1536*a**2*d**3*f**4*exp(2*I*e))*exp(2*I*f*x) + (-512*I*a**2*c**3*f**7*exp(4*I*e) - 1536*I*a**2*c**2*d*f**7*x*exp(4*I*e) + 384*a**2*c**2*d*f**6*exp(4*I*e) - 1536*I*a**2*c*d**2*f**7*x**2*exp(4*I*e) + 768*a**2*c*d**2*f**6*x*exp(4*I*e) + 192*I*a**2*c*d**2*f**5*exp(4*I*e) - 512*I*a**2*d**3*f**7*x**3*exp(4*I*e) + 384*a**2*d**3*f**6*x**2*exp(4*I*e) + 192*I*a**2*d**3*f**5*x*exp(4*I*e) - 48*a**2*d**3*f**4*exp(4*I*e))*exp(4*I*f*x))/(8192*a**4*f**8), Ne(8192*a**4*f**8, 0)), (x**4*(d**3*exp(4*I*e) - 2*d**3*exp(2*I*e))/(16*a**2) + x**3*(c*d**2*exp(4*I*e) - 2*c*d**2*exp(2*I*e))/(4*a**2) + x**2*(3*c**2*d*exp(4*I*e) - 6*c**2*d*exp(2*I*e))/(8*a**2) + x*(c**3*exp(4*I*e) - 2*c**3*exp(2*I*e))/(4*a**2), True)) + c**3*x/(4*a**2) + 3*c**2*d*x**2/(8*a**2) + c*d**2*x**3/(4*a**2) + d**3*x**4/(16*a**2)","A",0
23,1,406,0,0.480039," ","integrate((d*x+c)**2/(a+I*a*cot(f*x+e))**2,x)","\begin{cases} \frac{\left(256 i a^{2} c^{2} f^{5} e^{2 i e} + 512 i a^{2} c d f^{5} x e^{2 i e} - 256 a^{2} c d f^{4} e^{2 i e} + 256 i a^{2} d^{2} f^{5} x^{2} e^{2 i e} - 256 a^{2} d^{2} f^{4} x e^{2 i e} - 128 i a^{2} d^{2} f^{3} e^{2 i e}\right) e^{2 i f x} + \left(- 64 i a^{2} c^{2} f^{5} e^{4 i e} - 128 i a^{2} c d f^{5} x e^{4 i e} + 32 a^{2} c d f^{4} e^{4 i e} - 64 i a^{2} d^{2} f^{5} x^{2} e^{4 i e} + 32 a^{2} d^{2} f^{4} x e^{4 i e} + 8 i a^{2} d^{2} f^{3} e^{4 i e}\right) e^{4 i f x}}{1024 a^{4} f^{6}} & \text{for}\: 1024 a^{4} f^{6} \neq 0 \\\frac{x^{3} \left(d^{2} e^{4 i e} - 2 d^{2} e^{2 i e}\right)}{12 a^{2}} + \frac{x^{2} \left(c d e^{4 i e} - 2 c d e^{2 i e}\right)}{4 a^{2}} + \frac{x \left(c^{2} e^{4 i e} - 2 c^{2} e^{2 i e}\right)}{4 a^{2}} & \text{otherwise} \end{cases} + \frac{c^{2} x}{4 a^{2}} + \frac{c d x^{2}}{4 a^{2}} + \frac{d^{2} x^{3}}{12 a^{2}}"," ",0,"Piecewise((((256*I*a**2*c**2*f**5*exp(2*I*e) + 512*I*a**2*c*d*f**5*x*exp(2*I*e) - 256*a**2*c*d*f**4*exp(2*I*e) + 256*I*a**2*d**2*f**5*x**2*exp(2*I*e) - 256*a**2*d**2*f**4*x*exp(2*I*e) - 128*I*a**2*d**2*f**3*exp(2*I*e))*exp(2*I*f*x) + (-64*I*a**2*c**2*f**5*exp(4*I*e) - 128*I*a**2*c*d*f**5*x*exp(4*I*e) + 32*a**2*c*d*f**4*exp(4*I*e) - 64*I*a**2*d**2*f**5*x**2*exp(4*I*e) + 32*a**2*d**2*f**4*x*exp(4*I*e) + 8*I*a**2*d**2*f**3*exp(4*I*e))*exp(4*I*f*x))/(1024*a**4*f**6), Ne(1024*a**4*f**6, 0)), (x**3*(d**2*exp(4*I*e) - 2*d**2*exp(2*I*e))/(12*a**2) + x**2*(c*d*exp(4*I*e) - 2*c*d*exp(2*I*e))/(4*a**2) + x*(c**2*exp(4*I*e) - 2*c**2*exp(2*I*e))/(4*a**2), True)) + c**2*x/(4*a**2) + c*d*x**2/(4*a**2) + d**2*x**3/(12*a**2)","A",0
24,1,214,0,0.356072," ","integrate((d*x+c)/(a+I*a*cot(f*x+e))**2,x)","\begin{cases} \frac{\left(128 i a^{2} c f^{3} e^{2 i e} + 128 i a^{2} d f^{3} x e^{2 i e} - 64 a^{2} d f^{2} e^{2 i e}\right) e^{2 i f x} + \left(- 32 i a^{2} c f^{3} e^{4 i e} - 32 i a^{2} d f^{3} x e^{4 i e} + 8 a^{2} d f^{2} e^{4 i e}\right) e^{4 i f x}}{512 a^{4} f^{4}} & \text{for}\: 512 a^{4} f^{4} \neq 0 \\\frac{x^{2} \left(d e^{4 i e} - 2 d e^{2 i e}\right)}{8 a^{2}} + \frac{x \left(c e^{4 i e} - 2 c e^{2 i e}\right)}{4 a^{2}} & \text{otherwise} \end{cases} + \frac{c x}{4 a^{2}} + \frac{d x^{2}}{8 a^{2}}"," ",0,"Piecewise((((128*I*a**2*c*f**3*exp(2*I*e) + 128*I*a**2*d*f**3*x*exp(2*I*e) - 64*a**2*d*f**2*exp(2*I*e))*exp(2*I*f*x) + (-32*I*a**2*c*f**3*exp(4*I*e) - 32*I*a**2*d*f**3*x*exp(4*I*e) + 8*a**2*d*f**2*exp(4*I*e))*exp(4*I*f*x))/(512*a**4*f**4), Ne(512*a**4*f**4, 0)), (x**2*(d*exp(4*I*e) - 2*d*exp(2*I*e))/(8*a**2) + x*(c*exp(4*I*e) - 2*c*exp(2*I*e))/(4*a**2), True)) + c*x/(4*a**2) + d*x**2/(8*a**2)","A",0
25,0,0,0,0.000000," ","integrate(1/(d*x+c)/(a+I*a*cot(f*x+e))**2,x)","- \frac{\int \frac{1}{c \cot^{2}{\left(e + f x \right)} - 2 i c \cot{\left(e + f x \right)} - c + d x \cot^{2}{\left(e + f x \right)} - 2 i d x \cot{\left(e + f x \right)} - d x}\, dx}{a^{2}}"," ",0,"-Integral(1/(c*cot(e + f*x)**2 - 2*I*c*cot(e + f*x) - c + d*x*cot(e + f*x)**2 - 2*I*d*x*cot(e + f*x) - d*x), x)/a**2","F",0
26,0,0,0,0.000000," ","integrate(1/(d*x+c)**2/(a+I*a*cot(f*x+e))**2,x)","- \frac{\int \frac{1}{c^{2} \cot^{2}{\left(e + f x \right)} - 2 i c^{2} \cot{\left(e + f x \right)} - c^{2} + 2 c d x \cot^{2}{\left(e + f x \right)} - 4 i c d x \cot{\left(e + f x \right)} - 2 c d x + d^{2} x^{2} \cot^{2}{\left(e + f x \right)} - 2 i d^{2} x^{2} \cot{\left(e + f x \right)} - d^{2} x^{2}}\, dx}{a^{2}}"," ",0,"-Integral(1/(c**2*cot(e + f*x)**2 - 2*I*c**2*cot(e + f*x) - c**2 + 2*c*d*x*cot(e + f*x)**2 - 4*I*c*d*x*cot(e + f*x) - 2*c*d*x + d**2*x**2*cot(e + f*x)**2 - 2*I*d**2*x**2*cot(e + f*x) - d**2*x**2), x)/a**2","F",0
27,1,935,0,0.843154," ","integrate((d*x+c)**3/(a+I*a*cot(f*x+e))**3,x)","\begin{cases} - \frac{\left(- 21233664 i a^{6} c^{3} f^{11} e^{2 i e} - 63700992 i a^{6} c^{2} d f^{11} x e^{2 i e} + 31850496 a^{6} c^{2} d f^{10} e^{2 i e} - 63700992 i a^{6} c d^{2} f^{11} x^{2} e^{2 i e} + 63700992 a^{6} c d^{2} f^{10} x e^{2 i e} + 31850496 i a^{6} c d^{2} f^{9} e^{2 i e} - 21233664 i a^{6} d^{3} f^{11} x^{3} e^{2 i e} + 31850496 a^{6} d^{3} f^{10} x^{2} e^{2 i e} + 31850496 i a^{6} d^{3} f^{9} x e^{2 i e} - 15925248 a^{6} d^{3} f^{8} e^{2 i e}\right) e^{2 i f x} + \left(10616832 i a^{6} c^{3} f^{11} e^{4 i e} + 31850496 i a^{6} c^{2} d f^{11} x e^{4 i e} - 7962624 a^{6} c^{2} d f^{10} e^{4 i e} + 31850496 i a^{6} c d^{2} f^{11} x^{2} e^{4 i e} - 15925248 a^{6} c d^{2} f^{10} x e^{4 i e} - 3981312 i a^{6} c d^{2} f^{9} e^{4 i e} + 10616832 i a^{6} d^{3} f^{11} x^{3} e^{4 i e} - 7962624 a^{6} d^{3} f^{10} x^{2} e^{4 i e} - 3981312 i a^{6} d^{3} f^{9} x e^{4 i e} + 995328 a^{6} d^{3} f^{8} e^{4 i e}\right) e^{4 i f x} + \left(- 2359296 i a^{6} c^{3} f^{11} e^{6 i e} - 7077888 i a^{6} c^{2} d f^{11} x e^{6 i e} + 1179648 a^{6} c^{2} d f^{10} e^{6 i e} - 7077888 i a^{6} c d^{2} f^{11} x^{2} e^{6 i e} + 2359296 a^{6} c d^{2} f^{10} x e^{6 i e} + 393216 i a^{6} c d^{2} f^{9} e^{6 i e} - 2359296 i a^{6} d^{3} f^{11} x^{3} e^{6 i e} + 1179648 a^{6} d^{3} f^{10} x^{2} e^{6 i e} + 393216 i a^{6} d^{3} f^{9} x e^{6 i e} - 65536 a^{6} d^{3} f^{8} e^{6 i e}\right) e^{6 i f x}}{113246208 a^{9} f^{12}} & \text{for}\: 113246208 a^{9} f^{12} \neq 0 \\\frac{x^{4} \left(- d^{3} e^{6 i e} + 3 d^{3} e^{4 i e} - 3 d^{3} e^{2 i e}\right)}{32 a^{3}} + \frac{x^{3} \left(- c d^{2} e^{6 i e} + 3 c d^{2} e^{4 i e} - 3 c d^{2} e^{2 i e}\right)}{8 a^{3}} + \frac{x^{2} \left(- 3 c^{2} d e^{6 i e} + 9 c^{2} d e^{4 i e} - 9 c^{2} d e^{2 i e}\right)}{16 a^{3}} + \frac{x \left(- c^{3} e^{6 i e} + 3 c^{3} e^{4 i e} - 3 c^{3} e^{2 i e}\right)}{8 a^{3}} & \text{otherwise} \end{cases} + \frac{c^{3} x}{8 a^{3}} + \frac{3 c^{2} d x^{2}}{16 a^{3}} + \frac{c d^{2} x^{3}}{8 a^{3}} + \frac{d^{3} x^{4}}{32 a^{3}}"," ",0,"Piecewise((-((-21233664*I*a**6*c**3*f**11*exp(2*I*e) - 63700992*I*a**6*c**2*d*f**11*x*exp(2*I*e) + 31850496*a**6*c**2*d*f**10*exp(2*I*e) - 63700992*I*a**6*c*d**2*f**11*x**2*exp(2*I*e) + 63700992*a**6*c*d**2*f**10*x*exp(2*I*e) + 31850496*I*a**6*c*d**2*f**9*exp(2*I*e) - 21233664*I*a**6*d**3*f**11*x**3*exp(2*I*e) + 31850496*a**6*d**3*f**10*x**2*exp(2*I*e) + 31850496*I*a**6*d**3*f**9*x*exp(2*I*e) - 15925248*a**6*d**3*f**8*exp(2*I*e))*exp(2*I*f*x) + (10616832*I*a**6*c**3*f**11*exp(4*I*e) + 31850496*I*a**6*c**2*d*f**11*x*exp(4*I*e) - 7962624*a**6*c**2*d*f**10*exp(4*I*e) + 31850496*I*a**6*c*d**2*f**11*x**2*exp(4*I*e) - 15925248*a**6*c*d**2*f**10*x*exp(4*I*e) - 3981312*I*a**6*c*d**2*f**9*exp(4*I*e) + 10616832*I*a**6*d**3*f**11*x**3*exp(4*I*e) - 7962624*a**6*d**3*f**10*x**2*exp(4*I*e) - 3981312*I*a**6*d**3*f**9*x*exp(4*I*e) + 995328*a**6*d**3*f**8*exp(4*I*e))*exp(4*I*f*x) + (-2359296*I*a**6*c**3*f**11*exp(6*I*e) - 7077888*I*a**6*c**2*d*f**11*x*exp(6*I*e) + 1179648*a**6*c**2*d*f**10*exp(6*I*e) - 7077888*I*a**6*c*d**2*f**11*x**2*exp(6*I*e) + 2359296*a**6*c*d**2*f**10*x*exp(6*I*e) + 393216*I*a**6*c*d**2*f**9*exp(6*I*e) - 2359296*I*a**6*d**3*f**11*x**3*exp(6*I*e) + 1179648*a**6*d**3*f**10*x**2*exp(6*I*e) + 393216*I*a**6*d**3*f**9*x*exp(6*I*e) - 65536*a**6*d**3*f**8*exp(6*I*e))*exp(6*I*f*x))/(113246208*a**9*f**12), Ne(113246208*a**9*f**12, 0)), (x**4*(-d**3*exp(6*I*e) + 3*d**3*exp(4*I*e) - 3*d**3*exp(2*I*e))/(32*a**3) + x**3*(-c*d**2*exp(6*I*e) + 3*c*d**2*exp(4*I*e) - 3*c*d**2*exp(2*I*e))/(8*a**3) + x**2*(-3*c**2*d*exp(6*I*e) + 9*c**2*d*exp(4*I*e) - 9*c**2*d*exp(2*I*e))/(16*a**3) + x*(-c**3*exp(6*I*e) + 3*c**3*exp(4*I*e) - 3*c**3*exp(2*I*e))/(8*a**3), True)) + c**3*x/(8*a**3) + 3*c**2*d*x**2/(16*a**3) + c*d**2*x**3/(8*a**3) + d**3*x**4/(32*a**3)","A",0
28,1,578,0,0.635956," ","integrate((d*x+c)**2/(a+I*a*cot(f*x+e))**3,x)","\begin{cases} - \frac{\left(- 1327104 i a^{6} c^{2} f^{8} e^{2 i e} - 2654208 i a^{6} c d f^{8} x e^{2 i e} + 1327104 a^{6} c d f^{7} e^{2 i e} - 1327104 i a^{6} d^{2} f^{8} x^{2} e^{2 i e} + 1327104 a^{6} d^{2} f^{7} x e^{2 i e} + 663552 i a^{6} d^{2} f^{6} e^{2 i e}\right) e^{2 i f x} + \left(663552 i a^{6} c^{2} f^{8} e^{4 i e} + 1327104 i a^{6} c d f^{8} x e^{4 i e} - 331776 a^{6} c d f^{7} e^{4 i e} + 663552 i a^{6} d^{2} f^{8} x^{2} e^{4 i e} - 331776 a^{6} d^{2} f^{7} x e^{4 i e} - 82944 i a^{6} d^{2} f^{6} e^{4 i e}\right) e^{4 i f x} + \left(- 147456 i a^{6} c^{2} f^{8} e^{6 i e} - 294912 i a^{6} c d f^{8} x e^{6 i e} + 49152 a^{6} c d f^{7} e^{6 i e} - 147456 i a^{6} d^{2} f^{8} x^{2} e^{6 i e} + 49152 a^{6} d^{2} f^{7} x e^{6 i e} + 8192 i a^{6} d^{2} f^{6} e^{6 i e}\right) e^{6 i f x}}{7077888 a^{9} f^{9}} & \text{for}\: 7077888 a^{9} f^{9} \neq 0 \\\frac{x^{3} \left(- d^{2} e^{6 i e} + 3 d^{2} e^{4 i e} - 3 d^{2} e^{2 i e}\right)}{24 a^{3}} + \frac{x^{2} \left(- c d e^{6 i e} + 3 c d e^{4 i e} - 3 c d e^{2 i e}\right)}{8 a^{3}} + \frac{x \left(- c^{2} e^{6 i e} + 3 c^{2} e^{4 i e} - 3 c^{2} e^{2 i e}\right)}{8 a^{3}} & \text{otherwise} \end{cases} + \frac{c^{2} x}{8 a^{3}} + \frac{c d x^{2}}{8 a^{3}} + \frac{d^{2} x^{3}}{24 a^{3}}"," ",0,"Piecewise((-((-1327104*I*a**6*c**2*f**8*exp(2*I*e) - 2654208*I*a**6*c*d*f**8*x*exp(2*I*e) + 1327104*a**6*c*d*f**7*exp(2*I*e) - 1327104*I*a**6*d**2*f**8*x**2*exp(2*I*e) + 1327104*a**6*d**2*f**7*x*exp(2*I*e) + 663552*I*a**6*d**2*f**6*exp(2*I*e))*exp(2*I*f*x) + (663552*I*a**6*c**2*f**8*exp(4*I*e) + 1327104*I*a**6*c*d*f**8*x*exp(4*I*e) - 331776*a**6*c*d*f**7*exp(4*I*e) + 663552*I*a**6*d**2*f**8*x**2*exp(4*I*e) - 331776*a**6*d**2*f**7*x*exp(4*I*e) - 82944*I*a**6*d**2*f**6*exp(4*I*e))*exp(4*I*f*x) + (-147456*I*a**6*c**2*f**8*exp(6*I*e) - 294912*I*a**6*c*d*f**8*x*exp(6*I*e) + 49152*a**6*c*d*f**7*exp(6*I*e) - 147456*I*a**6*d**2*f**8*x**2*exp(6*I*e) + 49152*a**6*d**2*f**7*x*exp(6*I*e) + 8192*I*a**6*d**2*f**6*exp(6*I*e))*exp(6*I*f*x))/(7077888*a**9*f**9), Ne(7077888*a**9*f**9, 0)), (x**3*(-d**2*exp(6*I*e) + 3*d**2*exp(4*I*e) - 3*d**2*exp(2*I*e))/(24*a**3) + x**2*(-c*d*exp(6*I*e) + 3*c*d*exp(4*I*e) - 3*c*d*exp(2*I*e))/(8*a**3) + x*(-c**2*exp(6*I*e) + 3*c**2*exp(4*I*e) - 3*c**2*exp(2*I*e))/(8*a**3), True)) + c**2*x/(8*a**3) + c*d*x**2/(8*a**3) + d**2*x**3/(24*a**3)","A",0
29,1,301,0,0.458137," ","integrate((d*x+c)/(a+I*a*cot(f*x+e))**3,x)","\begin{cases} - \frac{\left(- 221184 i a^{6} c f^{5} e^{2 i e} - 221184 i a^{6} d f^{5} x e^{2 i e} + 110592 a^{6} d f^{4} e^{2 i e}\right) e^{2 i f x} + \left(110592 i a^{6} c f^{5} e^{4 i e} + 110592 i a^{6} d f^{5} x e^{4 i e} - 27648 a^{6} d f^{4} e^{4 i e}\right) e^{4 i f x} + \left(- 24576 i a^{6} c f^{5} e^{6 i e} - 24576 i a^{6} d f^{5} x e^{6 i e} + 4096 a^{6} d f^{4} e^{6 i e}\right) e^{6 i f x}}{1179648 a^{9} f^{6}} & \text{for}\: 1179648 a^{9} f^{6} \neq 0 \\\frac{x^{2} \left(- d e^{6 i e} + 3 d e^{4 i e} - 3 d e^{2 i e}\right)}{16 a^{3}} + \frac{x \left(- c e^{6 i e} + 3 c e^{4 i e} - 3 c e^{2 i e}\right)}{8 a^{3}} & \text{otherwise} \end{cases} + \frac{c x}{8 a^{3}} + \frac{d x^{2}}{16 a^{3}}"," ",0,"Piecewise((-((-221184*I*a**6*c*f**5*exp(2*I*e) - 221184*I*a**6*d*f**5*x*exp(2*I*e) + 110592*a**6*d*f**4*exp(2*I*e))*exp(2*I*f*x) + (110592*I*a**6*c*f**5*exp(4*I*e) + 110592*I*a**6*d*f**5*x*exp(4*I*e) - 27648*a**6*d*f**4*exp(4*I*e))*exp(4*I*f*x) + (-24576*I*a**6*c*f**5*exp(6*I*e) - 24576*I*a**6*d*f**5*x*exp(6*I*e) + 4096*a**6*d*f**4*exp(6*I*e))*exp(6*I*f*x))/(1179648*a**9*f**6), Ne(1179648*a**9*f**6, 0)), (x**2*(-d*exp(6*I*e) + 3*d*exp(4*I*e) - 3*d*exp(2*I*e))/(16*a**3) + x*(-c*exp(6*I*e) + 3*c*exp(4*I*e) - 3*c*exp(2*I*e))/(8*a**3), True)) + c*x/(8*a**3) + d*x**2/(16*a**3)","A",0
30,0,0,0,0.000000," ","integrate(1/(d*x+c)/(a+I*a*cot(f*x+e))**3,x)","\frac{i \int \frac{1}{c \cot^{3}{\left(e + f x \right)} - 3 i c \cot^{2}{\left(e + f x \right)} - 3 c \cot{\left(e + f x \right)} + i c + d x \cot^{3}{\left(e + f x \right)} - 3 i d x \cot^{2}{\left(e + f x \right)} - 3 d x \cot{\left(e + f x \right)} + i d x}\, dx}{a^{3}}"," ",0,"I*Integral(1/(c*cot(e + f*x)**3 - 3*I*c*cot(e + f*x)**2 - 3*c*cot(e + f*x) + I*c + d*x*cot(e + f*x)**3 - 3*I*d*x*cot(e + f*x)**2 - 3*d*x*cot(e + f*x) + I*d*x), x)/a**3","F",0
31,0,0,0,0.000000," ","integrate(1/(d*x+c)**2/(a+I*a*cot(f*x+e))**3,x)","\frac{i \int \frac{1}{c^{2} \cot^{3}{\left(e + f x \right)} - 3 i c^{2} \cot^{2}{\left(e + f x \right)} - 3 c^{2} \cot{\left(e + f x \right)} + i c^{2} + 2 c d x \cot^{3}{\left(e + f x \right)} - 6 i c d x \cot^{2}{\left(e + f x \right)} - 6 c d x \cot{\left(e + f x \right)} + 2 i c d x + d^{2} x^{2} \cot^{3}{\left(e + f x \right)} - 3 i d^{2} x^{2} \cot^{2}{\left(e + f x \right)} - 3 d^{2} x^{2} \cot{\left(e + f x \right)} + i d^{2} x^{2}}\, dx}{a^{3}}"," ",0,"I*Integral(1/(c**2*cot(e + f*x)**3 - 3*I*c**2*cot(e + f*x)**2 - 3*c**2*cot(e + f*x) + I*c**2 + 2*c*d*x*cot(e + f*x)**3 - 6*I*c*d*x*cot(e + f*x)**2 - 6*c*d*x*cot(e + f*x) + 2*I*c*d*x + d**2*x**2*cot(e + f*x)**3 - 3*I*d**2*x**2*cot(e + f*x)**2 - 3*d**2*x**2*cot(e + f*x) + I*d**2*x**2), x)/a**3","F",0
32,0,0,0,0.000000," ","integrate((d*x+c)**m*(a+I*a*cot(f*x+e))**2,x)","- a^{2} \left(\int \left(c + d x\right)^{m} \cot^{2}{\left(e + f x \right)}\, dx + \int \left(- 2 i \left(c + d x\right)^{m} \cot{\left(e + f x \right)}\right)\, dx + \int \left(- \left(c + d x\right)^{m}\right)\, dx\right)"," ",0,"-a**2*(Integral((c + d*x)**m*cot(e + f*x)**2, x) + Integral(-2*I*(c + d*x)**m*cot(e + f*x), x) + Integral(-(c + d*x)**m, x))","F",0
33,0,0,0,0.000000," ","integrate((d*x+c)**m*(a+I*a*cot(f*x+e)),x)","i a \left(\int \left(- i \left(c + d x\right)^{m}\right)\, dx + \int \left(c + d x\right)^{m} \cot{\left(e + f x \right)}\, dx\right)"," ",0,"I*a*(Integral(-I*(c + d*x)**m, x) + Integral((c + d*x)**m*cot(e + f*x), x))","F",0
34,0,0,0,0.000000," ","integrate((d*x+c)**m/(a+I*a*cot(f*x+e)),x)","- \frac{i \int \frac{\left(c + d x\right)^{m}}{\cot{\left(e + f x \right)} - i}\, dx}{a}"," ",0,"-I*Integral((c + d*x)**m/(cot(e + f*x) - I), x)/a","F",0
35,0,0,0,0.000000," ","integrate((d*x+c)**m/(a+I*a*cot(f*x+e))**2,x)","- \frac{\int \frac{\left(c + d x\right)^{m}}{\cot^{2}{\left(e + f x \right)} - 2 i \cot{\left(e + f x \right)} - 1}\, dx}{a^{2}}"," ",0,"-Integral((c + d*x)**m/(cot(e + f*x)**2 - 2*I*cot(e + f*x) - 1), x)/a**2","F",0
36,0,0,0,0.000000," ","integrate((d*x+c)**m/(a+I*a*cot(f*x+e))**3,x)","\frac{i \int \frac{\left(c + d x\right)^{m}}{\cot^{3}{\left(e + f x \right)} - 3 i \cot^{2}{\left(e + f x \right)} - 3 \cot{\left(e + f x \right)} + i}\, dx}{a^{3}}"," ",0,"I*Integral((c + d*x)**m/(cot(e + f*x)**3 - 3*I*cot(e + f*x)**2 - 3*cot(e + f*x) + I), x)/a**3","F",0
37,0,0,0,0.000000," ","integrate((d*x+c)**3*(a+b*cot(f*x+e)),x)","\int \left(a + b \cot{\left(e + f x \right)}\right) \left(c + d x\right)^{3}\, dx"," ",0,"Integral((a + b*cot(e + f*x))*(c + d*x)**3, x)","F",0
38,0,0,0,0.000000," ","integrate((d*x+c)**2*(a+b*cot(f*x+e)),x)","\int \left(a + b \cot{\left(e + f x \right)}\right) \left(c + d x\right)^{2}\, dx"," ",0,"Integral((a + b*cot(e + f*x))*(c + d*x)**2, x)","F",0
39,0,0,0,0.000000," ","integrate((d*x+c)*(a+b*cot(f*x+e)),x)","\int \left(a + b \cot{\left(e + f x \right)}\right) \left(c + d x\right)\, dx"," ",0,"Integral((a + b*cot(e + f*x))*(c + d*x), x)","F",0
40,0,0,0,0.000000," ","integrate((a+b*cot(f*x+e))/(d*x+c),x)","\int \frac{a + b \cot{\left(e + f x \right)}}{c + d x}\, dx"," ",0,"Integral((a + b*cot(e + f*x))/(c + d*x), x)","F",0
41,0,0,0,0.000000," ","integrate((a+b*cot(f*x+e))/(d*x+c)**2,x)","\int \frac{a + b \cot{\left(e + f x \right)}}{\left(c + d x\right)^{2}}\, dx"," ",0,"Integral((a + b*cot(e + f*x))/(c + d*x)**2, x)","F",0
42,0,0,0,0.000000," ","integrate((d*x+c)**3*(a+b*cot(f*x+e))**2,x)","\int \left(a + b \cot{\left(e + f x \right)}\right)^{2} \left(c + d x\right)^{3}\, dx"," ",0,"Integral((a + b*cot(e + f*x))**2*(c + d*x)**3, x)","F",0
43,0,0,0,0.000000," ","integrate((d*x+c)**2*(a+b*cot(f*x+e))**2,x)","\int \left(a + b \cot{\left(e + f x \right)}\right)^{2} \left(c + d x\right)^{2}\, dx"," ",0,"Integral((a + b*cot(e + f*x))**2*(c + d*x)**2, x)","F",0
44,0,0,0,0.000000," ","integrate((d*x+c)*(a+b*cot(f*x+e))**2,x)","\int \left(a + b \cot{\left(e + f x \right)}\right)^{2} \left(c + d x\right)\, dx"," ",0,"Integral((a + b*cot(e + f*x))**2*(c + d*x), x)","F",0
45,0,0,0,0.000000," ","integrate((a+b*cot(f*x+e))**2/(d*x+c),x)","\int \frac{\left(a + b \cot{\left(e + f x \right)}\right)^{2}}{c + d x}\, dx"," ",0,"Integral((a + b*cot(e + f*x))**2/(c + d*x), x)","F",0
46,0,0,0,0.000000," ","integrate((a+b*cot(f*x+e))**2/(d*x+c)**2,x)","\int \frac{\left(a + b \cot{\left(e + f x \right)}\right)^{2}}{\left(c + d x\right)^{2}}\, dx"," ",0,"Integral((a + b*cot(e + f*x))**2/(c + d*x)**2, x)","F",0
47,0,0,0,0.000000," ","integrate((d*x+c)**3*(a+b*cot(f*x+e))**3,x)","\int \left(a + b \cot{\left(e + f x \right)}\right)^{3} \left(c + d x\right)^{3}\, dx"," ",0,"Integral((a + b*cot(e + f*x))**3*(c + d*x)**3, x)","F",0
48,0,0,0,0.000000," ","integrate((d*x+c)**2*(a+b*cot(f*x+e))**3,x)","\int \left(a + b \cot{\left(e + f x \right)}\right)^{3} \left(c + d x\right)^{2}\, dx"," ",0,"Integral((a + b*cot(e + f*x))**3*(c + d*x)**2, x)","F",0
49,0,0,0,0.000000," ","integrate((d*x+c)*(a+b*cot(f*x+e))**3,x)","\int \left(a + b \cot{\left(e + f x \right)}\right)^{3} \left(c + d x\right)\, dx"," ",0,"Integral((a + b*cot(e + f*x))**3*(c + d*x), x)","F",0
50,0,0,0,0.000000," ","integrate((a+b*cot(f*x+e))**3/(d*x+c),x)","\int \frac{\left(a + b \cot{\left(e + f x \right)}\right)^{3}}{c + d x}\, dx"," ",0,"Integral((a + b*cot(e + f*x))**3/(c + d*x), x)","F",0
51,0,0,0,0.000000," ","integrate((a+b*cot(f*x+e))**3/(d*x+c)**2,x)","\int \frac{\left(a + b \cot{\left(e + f x \right)}\right)^{3}}{\left(c + d x\right)^{2}}\, dx"," ",0,"Integral((a + b*cot(e + f*x))**3/(c + d*x)**2, x)","F",0
52,0,0,0,0.000000," ","integrate((d*x+c)**3/(a+b*cot(f*x+e)),x)","\int \frac{\left(c + d x\right)^{3}}{a + b \cot{\left(e + f x \right)}}\, dx"," ",0,"Integral((c + d*x)**3/(a + b*cot(e + f*x)), x)","F",0
53,0,0,0,0.000000," ","integrate((d*x+c)**2/(a+b*cot(f*x+e)),x)","\int \frac{\left(c + d x\right)^{2}}{a + b \cot{\left(e + f x \right)}}\, dx"," ",0,"Integral((c + d*x)**2/(a + b*cot(e + f*x)), x)","F",0
54,0,0,0,0.000000," ","integrate((d*x+c)/(a+b*cot(f*x+e)),x)","\int \frac{c + d x}{a + b \cot{\left(e + f x \right)}}\, dx"," ",0,"Integral((c + d*x)/(a + b*cot(e + f*x)), x)","F",0
55,0,0,0,0.000000," ","integrate(1/(d*x+c)/(a+b*cot(f*x+e)),x)","\int \frac{1}{\left(a + b \cot{\left(e + f x \right)}\right) \left(c + d x\right)}\, dx"," ",0,"Integral(1/((a + b*cot(e + f*x))*(c + d*x)), x)","F",0
56,0,0,0,0.000000," ","integrate(1/(d*x+c)**2/(a+b*cot(f*x+e)),x)","\int \frac{1}{\left(a + b \cot{\left(e + f x \right)}\right) \left(c + d x\right)^{2}}\, dx"," ",0,"Integral(1/((a + b*cot(e + f*x))*(c + d*x)**2), x)","F",0
57,0,0,0,0.000000," ","integrate((d*x+c)**3/(a+b*cot(f*x+e))**2,x)","\int \frac{\left(c + d x\right)^{3}}{\left(a + b \cot{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral((c + d*x)**3/(a + b*cot(e + f*x))**2, x)","F",0
58,0,0,0,0.000000," ","integrate((d*x+c)**2/(a+b*cot(f*x+e))**2,x)","\int \frac{\left(c + d x\right)^{2}}{\left(a + b \cot{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral((c + d*x)**2/(a + b*cot(e + f*x))**2, x)","F",0
59,0,0,0,0.000000," ","integrate((d*x+c)/(a+b*cot(f*x+e))**2,x)","\int \frac{c + d x}{\left(a + b \cot{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral((c + d*x)/(a + b*cot(e + f*x))**2, x)","F",0
60,0,0,0,0.000000," ","integrate(1/(d*x+c)/(a+b*cot(f*x+e))**2,x)","\int \frac{1}{\left(a + b \cot{\left(e + f x \right)}\right)^{2} \left(c + d x\right)}\, dx"," ",0,"Integral(1/((a + b*cot(e + f*x))**2*(c + d*x)), x)","F",0
61,0,0,0,0.000000," ","integrate(1/(d*x+c)**2/(a+b*cot(f*x+e))**2,x)","\int \frac{1}{\left(a + b \cot{\left(e + f x \right)}\right)^{2} \left(c + d x\right)^{2}}\, dx"," ",0,"Integral(1/((a + b*cot(e + f*x))**2*(c + d*x)**2), x)","F",0
