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Mathematics · JEE Main · NTA ExamsIntegral Calculus

\(\int_{-\frac{\pi}{3}}^{\frac{\pi}{3}} \frac{x \sin x}{\cos ^{2} x} d x\) is,
  1. \(\frac{1}{3}(4 \pi+1)\)
  2. \(\frac{4 \pi}{3}-2 \log \tan \frac{5 \pi}{12}\)
  3. \(\frac{4 \pi}{3}+\log \tan \frac{5}{12}\)
  4. None of the above

Answer

(D) None of the above

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