How to solve an equation including integrate?

            (2*pi*Lb)^1/2*h=integrate F(phi,phim)^(-1/2) dphi from phim to 5.5

            F(phi,phim)=2*c1*(coshphi-coshphim)+Z*cp*(e^phi-e^phim)+cp*(e^(-Z*phi)-e^(-Z*phim));

I want to solve this equation, first I need to integrate F according to phi, and express as phim, and use first equation to solve phim, h is an array, so I stuck, I keep getting error, so please help me give me some idea to solve this equation, other than two variable phi and phim, all other variables are given.

[Geoff Hayes]

Subinuer - if your code is returning an error, please include that error in your question.

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