Evaluate: `intcos^3x\ e^(logsinx)\ dx` .

Explanation

To evaluate the integral \( \int \cos^3 x \, e^{\log(\sin x)} \, dx \), we can follow these steps:

### Step 1: Simplify the Exponential Term
We know that \( e^{\log(a)} = a \). Therefore, we can simplify \( e^{\log(\sin x)} \) to \( \sin x \).

\[ \int \cos^3 x \, e^{\log(\sin x)} \, dx = \int \cos^3 x \, \sin x \, dx \]
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