JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

The value of

\int\limits_{0}^{\pi / 2} \frac{\sin ^{2 / 3} x}{\sin ^{2 / 3} x+\cos ^{2 / 3} x} d x

View answer and explanation

Correct option: A

\pi / 4

Option A (

\pi / 4

) is correct because the integral can be solved by using the property

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

and adding the two integrals.

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