The value of $\int_{-\pi / 2}^{\pi / 2} \frac{\sin ^2 x d x}{1+e^x}$ is

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

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Application +4 | -1

The value of

\int_{-\pi / 2}^{\pi / 2} \frac{\sin ^2 x d x}{1+e^x}

View answer and explanation

Correct option: B

\frac{\pi}{4}

Option B is correct because using the property of definite integrals and symmetry, the integral simplifies to an integral of sin²(x) from 0 to pi/2, which evaluates to pi/4.

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