jee-advanced 2000 Q20

jee-advanced · India · screening Circles Piecewise/Periodic Function Integration
20. If $f ( x ) = \left\{ \begin{array} { c c } e ^ { \cos x } \sin x & \text { for } | x | \leq 2 , \\ 2 & \text { otherwise, } \end{array} \right.$ then $\int _ { - 2 } ^ { 3 } f ( x ) d x =$
(A) 0
(B) 1
(C) 2
(D) 3
20. If $f ( x ) = \left\{ \begin{array} { c c } e ^ { \cos x } \sin x & \text { for } | x | \leq 2 , \\ 2 & \text { otherwise, } \end{array} \right.$ then $\int _ { - 2 } ^ { 3 } f ( x ) d x =$\\
(A) 0\\
(B) 1\\
(C) 2\\
(D) 3\\