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If a product has the form e^x [f(x) + f'(x)], its antiderivative is

Ae^x f'(x) + C
Bf(x) + e^x + C
Ce^x f(x) + C
De^x f(x)^2/2 + C
Answer & Solution
Correct answer: C. e^x f(x) + C
The derivative of e^x f(x) is e^x f(x) + e^x f'(x), which is exactly the expression.
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