`int_(0)^(pi) x log sinx dx`

Explanation

To solve the integral \( I = \int_{0}^{\pi} x \log(\sin x) \, dx \), we can use a symmetry property of definite integrals. Here’s a step-by-step solution:

### Step 1: Define the Integral
Let
\[ I = \int_{0}^{\pi} x \log(\sin x) \, dx \]

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