Definite integral of an equation

This is an equation I want to solve

syms ar ec fg
s = int(ar*(1-ec^2)/(1-ec*cos(fg)) / sin(atan(-(1-ec*cos(fg)/(ec*sin(fg))))), fg, 0, fg)

MatLab is not taking it's integral

Matlab's output:

s = int(-(ar*(1-ec^2)*((cos(fg)/sin(fg) - 1)^2 + 1)^(1/2))/((cos(fg)/sin(fg) - 1)*(ec*cos(fg) - 1)), fg, 0, fg)

Can you help me?

[darova]

I think it's too complicated for symbolic calculations. Try numerical