Mathematica takes long time to solve integration

[NiAR]

Hello,

I have this equation as attached, I need to integrate with respect to 'phix' from 0 to
∏/2. I have been waiting for the solution for one hour. Does it not have closed-form? Could someone please point the problem.

Thank you so much.

 

[Dale]

Code would be better than a screen-shot. I would be glad to help, but I am too lazy to manually type that formula in.