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

Explanation

To solve the integral of the function \(\frac{2 + \sin(2x)}{1 + \cos(2x)} e^x\), we will follow these steps:

### Step 1: Simplify the integrand
We start with the expression:
\[ \frac{2 + \sin(2x)}{1 + \cos(2x)} e^x \]
Using the double angle identities, we know that:
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