_ 0 ^ 1 / 3 d x (2 x^ 2 +1 ) x^ 2 +1 =

Mathematics · JEE Advanced · NTA ExamsIntegral Calculus

\[\int_{0}^{1 / \sqrt{3}} \frac{d x}{\left(2 x^{2}+1\right) \sqrt{x^{2}+1}}=\]
  1. \(\frac{\pi}{2}\)
  2. \(\tan ^{-1} 2\)
  3. \(\tan ^{-1} 1 / 2\)
  4. \(\pi\)

Answer

(C) ^ -1 1 / 2

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