Evaluate: `int_0^pixlogsinxdx`

Explanation

To evaluate the integral \( I = \int_0^{\pi} x \log(\sin x) \, dx \), we can use the property of definite integrals which states:

\[ \int_0^a f(x) \, dx = \int_0^a f(a - x) \, dx \]

### Step 1: Apply the property
Let \( I = \int_0^{\pi} x \log(\sin x) \, dx \). We can rewrite this integral using the property mentioned:
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