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If theta(1) and theta(2) be respectively...

If `theta_(1)` and `theta_(2)` be respectively the smallest and the largest values of `theta` in `(0, 2pi)-(pi)` which satisfy the equation, `2cot^(2)theta-(5)/(sintheta)+4=0`, then `int_(theta_(1))^(theta_(2))cos^(2)3thetad theta` is equal to :

A

`(pi)/(3)`

B

`(pi)/(9)`

C

`(pi)/(3)+(1)/(6)`

D

`(2pi)/(3)`

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