If _ 0 ^ x f( x) d x=A _ 0 ^ 2 f( x) d x , then A is

Mathematics · JEE Main · NTA ExamsIntegral Calculus

If \[\int_{0}^{\pi} x f(\sin x) d x=A \int_{0}^{\frac{\pi}{2}} f(\sin x) d x\], then A is
  1. 0
  2. \(\pi\)
  3. \(\frac{\pi}{4}\)
  4. 2\(\pi\)

Answer

(B)

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