JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

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Analyzing +4 | -1

f(x)

is a continuous function in

[0, \pi]

such that

f(0)=f(\pi)=0

, then the value of

\int_0^{\pi / 2}\left\{f(2 x)+f^{\prime \prime}(2 x)\right\} \sin x \cos x d x

is equal to

View answer and explanation

Correct option: D

Option D (0) is correct because integration by parts simplifies the integral to zero, utilizing the given boundary conditions.

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