Help me solve a definite integral

[pdcom]

Hi friends!

can anyone help me in solving following integral (in attachment).

thanks.

waiting for solution

 

[gaffar]

Re: definite integral

\[\frac{1}{\pi}\int_0^{\pi/2} \frac{\sin^2(\theta)}{\gamma_0+\sin^2(\theta)}d\theta=\frac{1}{\pi} [ x-\frac{\sqrt{\gamma_0} Arctan(\sqrt{\frac{1+\gamma_0}{\gamma_0}}Tan(x))}{\sqrt{1+\gamma_0}}]_0^{\pi/2}\]

or you can use MATLAB's "quad" function to evaluate the integral numerically.