Evaluate: `inte^x\ ((1+sinx)/(1+cosx))\ dx`

Explanation

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

### Step 1: Rewrite the Integral
We start with the integral:
\[ I = \int e^x \frac{1 + \sin x}{1 + \cos x} \, dx \]

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