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## Homework Statement

Calculate the integral

∫[itex]\frac{1}{(a+bcos^2(ϕ))^2}[/itex]dϕ from 0 to 2π a,b >0

## Homework Equations

Residue theorem

Cauchy's integral formula

## The Attempt at a Solution

The first thing I did was attempt to find the poles of the integral and use residue theorem to solve the integral. I've considered transforming the cosine part into it's exponential form. The problem is dealing with unknown variables a,b as I'm not sure how to deal with them. Does anyone have any ideas?

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