Find `intlogxdx`

Explanation

To find the integral of \(\log x \, dx\), we can use the method of integration by parts. Here’s a step-by-step solution:

### Step 1: Identify \(u\) and \(dv\)
We choose:
- \(u = \log x\)
- \(dv = dx\)

### Step 2: Differentiate \(u\) and integrate \(dv\)
...