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Math Help - Improper Integral

  1. #1
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    Improper Integral

    How do I solve this integral using limits?
    integral from 4-0 of (x)^(1/2)-abs(x-1)/(x-1)
    Thanks!
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  2. #2
    MHF Contributor
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    Re: Improper Integral

    Hey citcat.

    Try breaking the integral into two analytic functions and evaluate the integral for the two parts.

    Hint: abs(x-1) = x-1 if x >= 1 or 1-x if x < 1, and note that since there is only one single point with a hole in it [0/0 happens when x = 1 but otherwise it's ok] then you can ignore this issue (since it only happens at one point).
    Thanks from citcat
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