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If $f (x) = \{\begin{array}{cc} e^{\cos x} \sin x & for | x | \leq 2 \\ 2 & otherwise , \end{array}$ then $\int_{- 2}^{3} f (x) d x =$

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Correct option is C

∫−23 f(x)dx=∫−22 f(x)dx+∫23 f(x)dx=∫−22 ecos⁡ xsin⁡ xdx+∫23 2dx=0+2=2 since ∫−aa g(x)dx=0 if g(−x)=−g(x)

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If f(x)=ecos⁡ xsin⁡ x for |x|≤22 otherwise , then ∫−23 f(x)dx=

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If $f (x) = \{\begin{array}{cc} e^{\cos x} \sin x & for | x | \leq 2 \\ 2 & otherwise , \end{array}$ then $\int_{- 2}^{3} f (x) d x =$