If _ 0 ^ / 2 d 9 ^ 2 +4 ^ 2 =k , then the value of k is :

Mathematics · JEE Main · NTA ExamsIntegral Calculus

If \(\int_{0}^{\pi / 2} \frac{d \theta}{9 \sin ^{2} \theta+4 \cos ^{2} \theta}=k \pi,\) then the value of k is :
  1. \(\frac{1}{16}\)
  2. \(\frac{1}{12}\)
  3. \(\frac{1}{8}\)
  4. \(\frac{1}{3}\)

Answer

(B) 1 12

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