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int(1)/(1+cos^(2)x+2 cos x sinx)dx=...

`int(1)/(1+cos^(2)x+2 cos x sinx)dx=`

A

`tan^(-1)` (tan x + 1) + C

B

`(1)/(2) tan^(-1) (tan x + 1) + C `

C

`(1)/(2) tan^(-1) [ (1)/(2) ( tan x + 1) ] + C `

D

`tan^(-1) [ (1)/(2) (tanx + 1) ] + C `

Text Solution

Verified by Experts

The correct Answer is:
A
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