Evaluate: `intx e^(2x)\ dx`

Explanation

To evaluate the integral \( \int x e^{2x} \, dx \), we will use the method of integration by parts. The formula for integration by parts is:

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

### Step 1: Choose \( u \) and \( dv \)
We will let:
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