JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

\int\limits_{0}^{\pi / 2} f(\sin 2 x) \sin x d x=k \int\limits_{0}^{\pi / 4} f(\cos 2 x) \cos x d x

where

k

equals

View answer and explanation

Correct option: C

\sqrt{2}

Option C (

\sqrt{{2}}

) is correct because after applying the properties of definite integrals and trigonometric identities, the value of k is found to be

\sqrt{{2}}

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