JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Analyzing +4 | -1

The value of

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

is equal to

View answer and explanation

Correct option: A

\frac{\pi^2}{4}-2

Option A (

\frac{\pi^2}{4}-2

) is correct because the integral evaluates to this value after applying integration by parts and properties of definite integrals.

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