integrate ln(x^2-1)

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- February 7th 2009, 02:46 PMtwilightstrintegrate ln function
integrate ln(x^2-1)

- February 7th 2009, 03:32 PMgalactus
Use the rules of exponents to rewrite as

- February 7th 2009, 03:36 PMmr fantastic
- February 7th 2009, 04:29 PMgalactus
Yep. I was being lazy and careless.

- February 7th 2009, 11:49 PMtwilightstr
so how should I go about solving this problem?

- February 8th 2009, 08:11 AMHallsofIvy
Do exactly what galactus said but be careful like mr fantastic said!

is an even function so you really only need to integrate for x> 1, where galactus' method has no problem, and then use the same integral for x< -1. - February 8th 2009, 09:33 AMjavax
Or you can go with integration by parts

sub.

so we have

correct me anyone if I did anything wrong.