Definite Integration

If $$\mathrm{f}(x)=\left\{\begin{array}{ll}\mathrm{e}^{\cos x} \sin x & , \text { for }|x| \leq 2 \\ 2, & \text { otherwise }\end{array}\right.$$, then \(\int_\limits{-2}^3 \mathrm{f}(x) \mathrm{d} x\) is equal to