JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

f(x)=\left\{\begin{array}{ll}e^{\cos x} . \sin x, & |x| \leq 2 \\ 2, & \text {otherwise}\end{array}\right.

, then

\int\limits_{{-2}}^3 f(x) d x=

___.

View answer and explanation

Correct option: A

Option A (2) is correct because the integral from -2 to 2 of the odd function

e^{\cos x} \cdot \sin x

is 0, and the integral from 2 to 3 of 2 is 2.

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