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int(0)^(pi//4) (dx)/(2+sin^(2)x)=...

`int_(0)^(pi//4) (dx)/(2+sin^(2)x)=`

A

`Tan^(-1)(sqrt(3)/2)`

B

`1/6 Tan^(-1) sqrt(3/2)`

C

`(1)/(sqrt(6))Tan^(-1) sqrt(3/2)`

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
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