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July 30, 2015

Homework Help: Math integral

Posted by Terry on Wednesday, September 3, 2008 at 7:10am.

What is the integral of 1/(x√(x^2-4)) dx?

So I know that I am going to have to factor out the 4 and use the arcsec trig identity but I've having trouble getting to a viable u-substitution.

I've gotten to factoring like this so far:
√(x^2-4) = √[2^2(x^2/2^2 - 1)] = 2√((x/2)^2 - 1))

I could do
u = x/2
du = 1/2 dx

But that still leaves the x in front of the radical.

How can I solve this?

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