_ 6 ^ 3 d x 1+ x is equal to

Mathematics · JEE Main · NTA ExamsIntegral Calculus

\(\int_{\frac{\pi}{6}}^{\frac{\pi}{3}} \frac{d x}{1+\sqrt{\tan x}}\) is equal to
  1. \(\frac{\pi}{12}\)
  2. \(\frac{\pi}{2}\)
  3. \(\frac{\pi}{6}\)
  4. \(\frac{\pi}{4}\)

Answer

(A) 12

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