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Which function results from integrating the product x eˣ by parts?

A(x − 1)eˣ + C
Bx²eˣ/2 + C
C(x + 1)eˣ + C
Dx eˣ + C
Answer & Solution
Correct answer: A. (x − 1)eˣ + C
Taking u = x and dv = eˣ dx gives x eˣ − ∫eˣ dx = (x − 1)eˣ.
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