If \[f(x)=\left\{ \begin{matrix} {{e}^{\cos x}}\sin x, & |x|\,\le 2 \\ 2, & \text{otherwise} \\ \end{matrix} \right.\], then \[\int_{\,-\,2}^{\,3}{f(x)\,dx}\] is equal to [IIT Screening 2000]

If \[f(x)=\left\{ \begin{matrix} {{e}^{\cos x}}\sin x, & |x|\,\le

1.	If \[f(x)=\left\{ \begin{matrix} {{e}^{\cos x}}\sin x, & \|x\|\,\le 2 \\ 2, & \text{otherwise} \\ \end{matrix} \right.\], then \[\int_{\,-\,2}^{\,3}{f(x)\,dx}\] is equal to [IIT Screening 2000]
A.	0
B.	1
C.	2
D.	3
Answer» D. 3

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If \[f(x)=\left\{ \begin{matrix} {{e}^{\cos x}}\sin x, & |x|\,\le 2 \\ 2, & \text{otherwise} \\ \end{matrix} \right.\], then \[\int_{\,-\,2}^{\,3}{f(x)\,dx}\] is equal to [IIT Screening 2000]

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