For any integer n, the integral _ 0 ^ e^ [n x^ 2 x . ^ 3 (2 n+1) x d x has the value

Mathematics · JEE Main · NTA ExamsIntegral Calculus

For any integer n, the integral \(\int_{0}^{\pi} e^{\left[n x^{2} x\right.} \cos ^{3}(2 n+1) x d x\) has the value
  1. \(\pi\)
  2. 1
  3. 0
  4. None of these

Answer

(C) 0

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