Integrate the functions`(2+sin2x)/(1+cos2x)e^x`

Explanation

To solve the integral \( I = \int \frac{2 + \sin 2x}{1 + \cos 2x} e^x \, dx \), we can follow these steps:

### Step 1: Simplify the integrand
We start by breaking down the integrand:
\[ I = \int e^x \left( \frac{2}{1 + \cos 2x} + \frac{\sin 2x}{1 + \cos 2x} \right) \, dx \]

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