If _ 1 and _ 2 be respectively the smallest and the largest values of in (0,2 )-( ) which…
Mathematics · JEE Main · NTA Exams — Integral Calculus
If \(\theta_{1} \text { and } \theta_{2}\) be respectively the smallest and the largest values of \(\theta\) in \((0,2 \pi)-(\pi)\) which satisfy the equation, \(2 \cot ^{2} \theta-\frac{5}{\sin \theta}+4=0,\) then \(\int_{1_{1}}^{1_{2}} \cos ^{2} 3 \theta d \theta\) is equal to :
- \(\frac{\pi}{9}\)
- \(\frac{\pi}{3}+\frac{1}{6}\)
- \(\frac{2 \pi}{3}\)
- \(\frac{\pi}{3}\)
Answer
(B) 3 + 1 6
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