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Integration by parts with u = x is applied to x multiplied by cos x. What is the result?
Ax cos x + sin x + C
B−x sin x + cos x + C
Cx sin x − cos x + C
Dx sin x + cos x + C
Answer & Solution
Correct answer: D. x sin x + cos x + C
With u = x and dv = cos x dx the result is x sin x − ∫sin x dx = x sin x + cos x.
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