Hello. For $\displaystyle \alpha>0$, calculate $\displaystyle \int{|x^2-2\alpha x+2\alpha^2|}dx$ To me it looks like doesn't matter if $\displaystyle \alpha$ is greater or less than 0. But I don't know so some help would be appreciated! Thanks
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$\displaystyle |x^2 - 2\alpha x + 2\alpha^2| =$ $\displaystyle |x^2 - 2\alpha x + \alpha^2 + \alpha^2| =$ $\displaystyle |(x - \alpha)^2 + \alpha^2| = (x - \alpha)^2 + \alpha^2$ now integrate.
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