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Integration by parts on x e^x, taking u = x, produces

A(x - 1)e^x + C
Bx e^x + C
Cx^2 e^x/2 + C
D(x + 1)e^x + C
Answer & Solution
Correct answer: A. (x - 1)e^x + C
Taking u = x and v = e^x in parts gives x e^x - e^x = (x - 1)e^x.
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