If int(cos theta)/(5 + 7 sin theta - 2 c...

If `int(cos theta)/(5 + 7 sin theta - 2 cos^2 theta) d theta = A log_e |B(theta)|+C `
where C is a constant of integration, then `(B(theta))/(A)` can be :

A

`(2 sin theta +1)/(sin theta +3)`

B

`(2 sin theta +1)/(5 ( sin theta +3))`

C

`(5 (sin theta +3 ))/(2 sin theta +1)`

D

`(5(2 sin theta +1))/(sin theta +3)`

Verified by Experts

The correct Answer is:

D

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