Evaluate : `int (1)/(5+4 cos x)dx`

Explanation

To evaluate the integral \(\int \frac{1}{5 + 4 \cos x} \, dx\), we can follow these steps:

### Step 1: Rewrite the Integral
We start by rewriting the integral in a more manageable form:
\[ \int \frac{1}{5 + 4 \cos x} \, dx = \int \frac{1}{5(1 + \frac{4}{5} \cos x)} \, dx \]

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