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## Homework Statement

ok so apparently there's no way to express

integral |f(x)|dx

in standard mathematical functions... which I don't exactly buy...

but ya the issue came up when I was trying to evaluate

integral |x - 2|dx

and apparently this is correct

integral |x-2|dx = 2 - [(x-2)^2sgn(2-x)]/2

now I'm not saying that it's wrong or anything I'm just carious as to why it's correct and if somebody could show me how one would get to that without a calculator and done by hand somehow... any help would be great... if you don't know the signum function, sgn(x), is defined as sgn(x) = x/|x| = e^(i arg(x)) = x/SQRT(x^2)

were arg(x) is the complex argument function

THANKS!