_ 0 ^ 2 x x + x d x is equal to

Mathematics · JEE Main · NTA ExamsIntegral Calculus

\(\int_{0}^{\frac{\pi}{2}} \frac{\sqrt{\cot x}}{\sqrt{\cot x}+\sqrt{\tan x}} d x\) is equal to
  1. 1
  2. -1
  3. \(\frac{\pi}{2}\)
  4. \(\frac{\pi}{4}\)

Answer

(D) 4

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