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What do we get on integrating x sin x by parts?

A-x sin x - cos x
Bx sin x + cos x
Cx cos x - sin x
D-x cos x + sin x
Answer & Solution
Correct answer: D. -x cos x + sin x
With x as first function, the result is -x cos x plus the integral of cos x, giving -x cos x + sin x.
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