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int(0)^(pi//2) (dx)/( 2 cos x+ 3) is equ...

`int_(0)^(pi//2) (dx)/( 2 cos x+ 3)` is equal to

A

`(2)/( sqrt5) tan^(-1) (1)/( sqrt5)`

B

`(1)/( sqrt5) tan^(-1) (1)/(sqrt5)`

C

`1`

D

`(2)/( sqrt3) tan^(-1) (1)/( sqrt5)`

Text Solution

Verified by Experts

The correct Answer is:
A
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