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Implicit region for 1-dimensional integration

Discussion in 'Mathematics' started by John Taylor, Oct 8, 2018.

  1. John Taylor

    John Taylor Guest

    I want to set the region for 1-dimensional integration using ImplicitRegion, but fail (please see the example):

    RegionOfIntegrationTemp[a_] :=
    ImplicitRegion[Sqrt[a^2 - x^2] <= 2, {x, 0, 2}]
    NIntegrate[1, x \[Element] RegionOfIntegrationTemp[5]]

    It writes that "0 is not a valid variable".

    Where I have done a mistake and what to do for correct implementation?

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