Evaluate _ 0 ^ 5 (2+3 x^ 2 ) 3 x d x .

Mathematics · JEE Main · NTA ExamsIntegral Calculus

Evaluate  \[\int_{0}^{\frac{\pi}{5}}\left(2+3 x^{2}\right) \cos 3 x d x\].
  1. \(\frac{\pi^{2}}{36}+\frac{2}{9}\)
  2. \(\frac{\pi^{2}}{16}+\frac{1}{19}\)
  3. \(\frac{\pi^{2}}{36}+\frac{4}{9}\)
  4. None of these

Answer

(A) ^ 2 36 + 2 9

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