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Integrate the function x^2e^x...

Integrate the function `x^2e^x`

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To integrate the function \( x^2 e^x \), we will use the method of integration by parts. Here’s the step-by-step solution: ### Step 1: Identify \( u \) and \( dv \) We 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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