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If int (1)/( 2 + sin^(2) x ) dx = k.tan...

If `int (1)/( 2 + sin^(2) x ) ` dx = k.`tan^(-1)` ( l tan x ) + C then (k, l ) =

A

`((1)/(sqrt(6)),(1)/(sqrt(3)) ) `

B

`((1)/(sqrt(6)) , sqrt((2)/(3)) ) `

C

`((1)/(sqrt(6)) , (2)/(3) ) `

D

`((1)/(sqrt(6)) , sqrt((3)/(2)) ) `

Text Solution

Verified by Experts

The correct Answer is:
D
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