_ - ^ 2 x(1+ x) 1+ ^ 2 x d x is

Mathematics · JEE Advanced · NTA ExamsIntegral Calculus

\(\int_{-\pi}^{\pi} \frac{2 x(1+\sin x)}{1+\cos ^{2} x} d x\) is
  1. π2/4
  2. π2
  3. 0
  4. π/2

Answer

(C) 0

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