If θ1 and θbe respectively the smallest and the largest values of θ in (0, 2π) − {π} which satisfy the equation \(2 \cot ^2 \theta-\frac{5}{\sin \theta}+4=0\) then \(\int_{\theta_1}^{\theta_2} \cos ^2 3 \theta d \theta \) is equal to:

1
2π/3
2
π/3
3
(π/3) + (1/6)
4
π/9

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