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int(0)^(pi//2)(1)/(13+5sin x)dx=...

`int_(0)^(pi//2)(1)/(13+5sin x)dx=`

A

`tan^(-1)((2)/(3))`

B

`(1)/(6)tan^(-1)((3)/(2))`

C

`6 tan^(-1)((2)/(3))`

D

`(1)/(6)tan^(-1)((2)/(3))`

Text Solution

Verified by Experts

The correct Answer is:
D
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