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Home  >>  JEEMAIN and NEET  >>  Mathematics  >>  Class12  >>  Integral Calculus

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

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

$\int \limits_{-2}^2 e^{\cos x} \sin x dx +\int \limits _2^3 2 dx$
$0= odd function+ 2 \bigg[ x \bigg]_2^3$
=>$ 2(1) =2$
Hence b is the correct answer
answered Dec 13, 2013 by meena.p
 

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