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e^x (sin x + cos x) has the form e^x (f + f'); its integral is
Ae^x cos x + C
Be^x sin 2x + C
Ce^x sin x + C
D2e^x sin x + C
Answer & Solution
Correct answer: C. e^x sin x + C
This has the form e^x (f(x) + f'(x)) with f = sin x, so the integral is e^x f(x).
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