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Use the rules of exponents to rewrite as
Originally Posted by galactus Use the rules of exponents to rewrite as But care needs to be taken with domain issues since the original function is defined for x > 1 or x < -1 whereas the re-write has problems when x < -1 ....
Yep. I was being lazy and careless.
so how should I go about solving this problem?
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.
Last edited by mr fantastic; February 8th 2009 at 06:48 PM.
Reason: Fixed the latex tag
Or you can go with integration by parts
so we have
correct me anyone if I did anything wrong.
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