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I need to integrate 1/sqrt(u^2)

Now i cant just apply the square root because then i lose all information about the minus values. Ive tried various substitutions, trig ones seem to make it worse and ive run the integral in mathematica and it returns an answer that i agree with and fits with what im trying to do but im not sure how to get it :S

Im sure its something simple that my tired caffeine saturated brain is missing, so be gentle with me :P

Cheers

-G