$\mathop \smallint \limits_{ - \pi /2}^{\pi /2} \,\,\frac{{\cos \,\,x}}{{1 + \,\,{e^x}}}\,\,dx = $

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \limits_{ - \pi /2}^{\pi /2} \,\,\frac{{\cos \,\,x}}{{1 + \,\,{e^x}}}\,\,dx =

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Correct option: A

\mathrm{1}

Option A (1) is correct because the integral can be simplified by using the property of definite integrals and substituting x = -t.

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