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If \[\frac{d}{dx}f(x)=x\cos x+\sin x\] and \[f(0)=2\], then \[f(x)=\] [MP PET 1989]

A.                 \[x\sin x\]
B.                 \[x\cos x+\sin x+2\]
C.                 \[x\sin x+2\]
D.                 \[x\cos x+2\]
Answer» D.                 \[x\cos x+2\]


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