A) \[x\sin x\]
B) \[x\cos x+\sin x+2\]
C) \[x\sin x+2\]
D) \[x\cos x+2\]
Correct Answer: C
Solution :
\[\frac{d}{dx}f(x)=x\cos x+\sin x\] \[\Rightarrow f(x)=\int_{{}}^{{}}{(x\cos x+\sin x)\ dx}=x\sin x+c\] Since, \[f(0)=2\Rightarrow c=2\]; \[\therefore \ f(x)=x\sin x+2\].You need to login to perform this action.
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