JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int\limits_{0}^\pi x f(\sin x) d x=A \int\limits_{0}^{\pi / 2} f(\sin x) d x

, then

A

View answer and explanation

Correct option: B

\pi

Option B (

\pi

) is correct because by using the property

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

, the integral transforms to

A \int_0^{\pi/2} f(\sin x) dx

, where A is found to be

\pi

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