Evaluate: `int1/(3+2cos^2x)\ dx`

Explanation

To evaluate the integral \( I = \int \frac{1}{3 + 2 \cos^2 x} \, dx \), we will follow a series of steps.

### Step 1: Rewrite the Integral
We start by rewriting the integral:
\[ I = \int \frac{1}{3 + 2 \cos^2 x} \, dx \]

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