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Question
Evaluate \[\int x\cos x\,dx.\]
Options
\[x\sin x+\cos x+C\]
\[x\cos x+\sin x+C\]
\[x\cos x-\sin x+C\]
\[x\sin x-\cos x+C\]
MCQ
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Solution
Take \(x\) as the first function and \(\cos x\) as the second function. This gives \(x\sin x-\int\sin x\,dx=x\sin x+\cos x+C\).
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