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If int (1)/(2 + cos x) dx = A tan^(-1)...

If `int (1)/(2 + cos x) ` dx = A `tan^(-1) (B. tan""(x)/(2) ) + c ` then (A, B) =

A

`((1)/(sqrt(3)), (1)/(sqrt(2)) ) `

B

`((1)/(sqrt(3)), (2)/(sqrt(3)) ) `

C

`((1)/(sqrt(3)), (1)/(sqrt(3)) ) `

D

`((2)/(sqrt(3)), (1)/(sqrt(3)) ) `

Text Solution

Verified by Experts

The correct Answer is:
D
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