A) \[x\sin x+\cos x\]
B) \[x\sin x-\cos x\]
C) \[x\cos x+\sin x\]
D) \[x\cos x-\sin x\]
Correct Answer: A
Solution :
\[\int_{{}}^{{}}{x\cos x\,dx}=x\sin x-\int_{{}}^{{}}{\sin x\,dx+c}=x\sin x+\cos x+c\].
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