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

Explanation

To evaluate the integral \( I = \int \frac{x + \sin x}{1 + \cos x} \, dx \), we can break it down into two separate integrals:

\[ I = \int \frac{x}{1 + \cos x} \, dx + \int \frac{\sin x}{1 + \cos x} \, dx \]

### Step 1: Simplifying the integrals

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