Find the Definite Integrals : `int_0^1 xe^-x dx `

Explanation

To solve the definite integral \( \int_0^1 x e^{-x} \, dx \), we will use integration by parts. The integration by parts formula is given by:

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

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

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