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

Question

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