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

Mathematics · JEE Main · NTA ExamsIntegral Calculus

\(\int_{-\pi}^{\pi} \frac{2 x(1+\sin x)}{1+\cos ^{2} x} d x \text { is }\)
  1. π2/4
  2. π2
  3. 5/4
  4. –3/4

Answer

(B) π 2

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