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Integration by parts with u = x turns x sin x into
Ax sin x + cos x + C
Bx cos x - sin x + C
C-x cos x + sin x + C
D-x cos x - sin x + C
Answer & Solution
Correct answer: C. -x cos x + sin x + C
With u = x, the result is -x cos x plus the integral of cos x, which is sin x.
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