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int (1)/(2 sin^(2) x + 3 sin x cos x - 2...

`int (1)/(2 sin^(2) x + 3 sin x cos x - 2 cos^(2) x ) ` dx =

A

`(1)/(5)" log" |(2 tan x- 1)/(2 + tan x)| + C`

B

`(1)/(3) " log"| (2 tan x- 1)/(2 + tan x)| + C`

C

`(1)/(2) " log"| (2tan x- 3)/(tan x + 1 )| + C`

D

`(1)/(5) " log"|(2tan x- 3)/(tan x + 1 )| + C`

Text Solution

Verified by Experts

The correct Answer is:
A
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