Integral solution

[Rajitha]

Hi,

I am newbie to sympy, and  trying to find the solution for the following integral, provided with p(x) and p(y), expecting the solution in terms of "f"

I have tried the following with sympy  in sagemath

from sympy import*
from sympy import pi
x, y,  a = symbols('x y a')
f= symbols('f ', cls=Function)
integrate(integrate(Derivative(f(y),y)*(exp(-a*x**2)*cos(y)**2*sin(x)**3), (x, 0, pi)), (y, -pi, pi))

It has shown to be running for quiet long time and finally stopped without any output.

Any help solving the integral will be highly appreciated.

Thanks in advance

Regards,
Rajitha