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## Homework Statement

To find the integral by Cauchy Residue Theorem and apply substitution method.

## Homework Equations

To show: ∫[itex]^{2∏}_{0}[/itex][itex]\frac{cosθ}{13+12cosθ}[/itex]=-[itex]\frac{4∏}{15}[/itex]

## The Attempt at a Solution

The solution I have done is attached. It is different as what the question wants me to show. I do not know where I did it wrong.