Find the Definite Integrals : `int_0^1 x^2 e^x dx `

Explanation

To solve the definite integral \( \int_0^1 x^2 e^x \, dx \), we will use integration by parts. Let's go through the steps:

### Step 1: Identify \( u \) and \( dv \)
We will choose:
- \( u = x^2 \) (which we will differentiate)
- \( dv = e^x \, dx \) (which we will integrate)

### Step 2: Differentiate \( u \) and Integrate \( dv \)
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