# $f(x)= \left\{ \begin{array}{1 1} e^{\cos x}.\sin x & \quad |x| < 2 \\ 2 & \quad other \end{array}. \right.$ then find $\int \limits_{-2}^3 f(x)dx=?$

$\begin {array} {1 1} (a)\;1 \\ (b)\;2 \\ (c)\;3 \\ (d)\;4 \end {array}$

$\int \limits_{-2}^2 e^{\cos x} \sin x dx +\int \limits _2^3 2 dx$
$0= odd function+ 2 \bigg[ x \bigg]_2^3$
=>$2(1) =2$
Hence b is the correct answer