_ - / 3 ^ / 3 x x ^ 2 x d x is :

Mathematics · JEE Main · NTA ExamsIntegral Calculus

\(\int_{-\pi / 3}^{\pi / 3} \frac{x \sin x}{\cos ^{2} x} d x \text { is : }\)

 

  1. \(\frac{1}{3}(4 \pi+1)\)
  2. \(\frac{4 \pi}{3}-2 \log \tan \frac{7 \pi}{12}\)
  3. \(\frac{4 \pi}{3}+\log \tan \frac{5}{12}\)
  4. none of these

Answer

(D) none of these

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