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∫ x sin x dx (integration by parts):

Asin x - x cos x + C
B-x cos x + sin x + C
Cx cos x
Dcos x
Answer & Solution
Correct answer: B. -x cos x + sin x + C
u = x, du = dx; dv = sin x dx, v = -cos x. We have ∫ x sin x dx = -x cos x + ∫ cos x. So dx = -x cos x + sin x + C.
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