_ 0 ^ / 2 ^ 5 ( x 2 ) x d x is equal to

Mathematics · JEE Main · NTA ExamsIntegral Calculus

\(\int_{0}^{\pi / 2} \cos ^{5}\left(\frac{x}{2}\right) \cdot \sin x d x\) is equal to
  1. \(\frac{2}{7}\left(1-\frac{1}{8 \sqrt{2}}\right)\)
  2. \(\frac{-4}{7}\left(1-\frac{1}{8 \sqrt{2}}\right)\)
  3. \(\frac{4}{7}\left(1-\frac{1}{8 \sqrt{2}}\right)\)
  4. None of these

Answer

(C) 4 7 (1- 1 8 2 )

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