_ 0 ^ / 2 f( 2 x) x d x=k _ 0 ^ / 4 f( 2 x) x d x where equals

Mathematics · JEE Advanced · NTA Exams — Integral Calculus

\(\int_{0}^{\pi / 2} f(\sin 2 x) \sin x d x=k \int_{0}^{\pi / 4} f(\cos 2 x) \cos x d x\) where equals

1. \(2\)
2. \(4\)
3. \(\sqrt{2}\)
4. \(2 \sqrt{2}\)

Answer

(C) 2

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