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Repeated parts applied to x^2 e^x give which result?

Ae^x (x^2 - 2x - 2) + c
Be^x (x^2 - 2x + 2) + c
Ce^x (x^2 - x + 1) + c
De^x (x^2 + 2x + 2) + c
Answer & Solution
Correct answer: B. e^x (x^2 - 2x + 2) + c
Repeated integration by parts gives e^x times (x^2 - 2x + 2).
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