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Math Help - Integral

  1. #1
    Member javax's Avatar
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    Integral

    Hello.
    For \alpha>0, calculate

    \int{|x^2-2\alpha x+2\alpha^2|}dx

    To me it looks like doesn't matter if \alpha is greater or less than 0. But I don't know so some help would be appreciated!

    Thanks
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  2. #2
    MHF Contributor
    skeeter's Avatar
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    |x^2 - 2\alpha x + 2\alpha^2| =

    |x^2 - 2\alpha x + \alpha^2 + \alpha^2| =

    |(x - \alpha)^2 + \alpha^2| = (x - \alpha)^2 + \alpha^2

    now integrate.
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