Evaluate: `intsin(logx)\ dx`

Explanation

To evaluate the integral \( I = \int \sin(\log x) \, dx \), we will follow these steps:

### Step 1: Substitution
Let \( t = \log x \). Then, we can differentiate both sides to find \( dx \):
\[ dt = \frac{1}{x} \, dx \quad \Rightarrow \quad dx = x \, dt \]
Since \( x = e^t \) (from \( t = \log x \)), we can substitute \( x \) back into the equation:
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