JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

The value of

\int\limits_{0}^{\pi / 2} \frac{e^{x^2}}{e^{x^2}+e^{\left(\frac{\pi}{2}-x\right)^2}} d x

View answer and explanation

Correct option: A

\pi / 4

Option A (

\pi / 4

) is correct because by using the property of definite integrals

\int_0^a f(x) dx = \int_0^a f(a-x) dx

, the integral simplifies to

\pi/4

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