Evaluate: `intlogx\ dx`

Explanation

To evaluate the integral \( \int \log x \, dx \), we will use the method of integration by parts. Here are the steps to solve the integral:

### Step-by-Step Solution:

1. **Identify the Functions**:
We will use the integration by parts formula:
\[
\int u \, dv = uv - \int v \, du
...