If int(1+cosx)/(cosx-cos^(2)x)dx=log|sec...

If `int(1+cosx)/(cosx-cos^(2)x)dx=log|secx+tanx|-f(x)+C`,then f(x)=......

A

` 2cot((x)/(2))`

B

`2log|"sin"(x)/(2)|`

C

`-2cot((x)/(2))`

D

`-2log|"sin"(x)/(2)|`

Verified by Experts

The correct Answer is:

B

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