MCQ
જો $f(x) = \left\{ {\begin{array}{*{20}{c}}{{e^{\cos x}}\sin x,}&{|x|\, \le 2}\\{2,}&{{\rm{otherwise}}}\end{array}} \right.$, તો $\int_{\, - \,2}^{\,3} {f(x)\,dx} =$
- A$0$
- B$1$
- ✓$2$
- D$3$
$\because$ ${e^{\cos x}}\sin x$ is an odd function
$\therefore \,\int_{ - 2}^3 {f(x)\,dx} $
$= \int_{ - 2}^2 {{e^{\cos x}}\sin x\,dx + \int_2^3 {2\,dx = 0 + 2\,(3 - 2) = 2} } $.
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