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Applying parts twice to x^2 e^x gives

A(x^2 - 2x + 2) e^x + C
B(x^2 + 2x + 2) e^x + C
C(x^2 - 2x) e^x + C
D(x^3/3) e^x + C
Answer & Solution
Correct answer: A. (x^2 - 2x + 2) e^x + C
Applying parts twice gives x^2 e^x - 2x e^x + 2 e^x.
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