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The integral int ((sin 2x+cos^(2)x)dx...

The integral
`int ((sin 2x+cos^(2)x)dx)/(1+sin^(2)x(sin 2x-cos^(2)x))` is equal to :-
(Where c is constant of integration )

A

`tan^(-1)(tan^(2)x-tan x)+c`

B

`tan^(-1)(tan^(2)x+tan x)+c`

C

`cot^(-1)(tan^(2)x-tan x)+c`

D

`cot^(-1)(tan^(2)x+tan x)+c`

Text Solution

Verified by Experts

The correct Answer is:
B
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