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int (sec^(2) x)/( tan^(2) x - 1) dx is...

`int (sec^(2) x)/( tan^(2) x - 1) dx ` is

A

`2log|(1-tanx)/(1+tanx)|+c`

B

`log|(1+tanx)/(1-tanx)|+c`

C

`(1)/(2)log|(tanx+1)/(tanx-1)|+c`

D

`(1)/(2)log|(tanx-1)/(tanx+1)|+c`

Text Solution

Verified by Experts

The correct Answer is:
D
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