{ 4/[x sqrt(x^2 - 4)] dx

The answer is 2 arcsec (x/2) but can anyone show me the steps to in solving it? I tried partial decomposition and some trig substitution but nothing really worked.

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- February 4th 2009, 09:11 AMKaitosanTricky integral
{ 4/[x sqrt(x^2 - 4)] dx

The answer is 2 arcsec (x/2) but can anyone show me the steps to in solving it? I tried partial decomposition and some trig substitution but nothing really worked. - February 4th 2009, 10:00 AMJester
- February 4th 2009, 10:17 AMKaitosan
OOH I see. I was confused because I wasn't used to substituting any "x" outside trigonometric expressions. Thanks. :)