Evaluate: `intx^3logxdx`

Explanation

To evaluate the integral \( \int x^3 \log x \, dx \), we will use the method of integration by parts. The formula for integration by parts is given by:

\[ \int u \, dv = uv - \int v \, du \]

### Step 1: Choose \( u \) and \( dv \)
Let:
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