Integral involving trig substitution

[fran1942]

Hello, I am trying to integrate 1/(x^2-1).

Apparently this can be solved by using trig substitution involving tan ?
Can someone please help me to understand how to go about it.

Thanks kindly for any help.

 

[DryRun]

Let $x= \sec \theta$

 

[scurty]

Alternatively you can use partial fractions decomposition. You can also user $x = \sin{(\theta)}$ and multiply by (-1)/(-1).