Evaluate: `int(e^(logx)+sinx)cosx\ dx`

Explanation

To evaluate the integral \( I = \int (e^{\log x} + \sin x) \cos x \, dx \), we can break it down into manageable steps.

### Step 1: Simplify the Expression
We start with the expression inside the integral:
\[ e^{\log x} = x \]
Thus, we can rewrite the integral as:
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