The value of the integral _ 0 ^ (2 k x) x d x, when k I , is

Mathematics · JEE Main · NTA ExamsIntegral Calculus

The value of the integral \(\int_{0}^{\pi} \frac{\sin (2 k x)}{\sin x} d x,\) when \(\mathrm{k} \in \mathrm{I}\), is
  1. \(\frac{\pi}{2}\)
  2. \(\pi\)
  3. \(0\)
  4. none of these

Answer

(C) 0

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