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    Riemann Integrable Function : Upper and Lower Sums

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    Q. Show directly that the function

    is integrable on R = [0,1] x [0,1] and find
    (Hint: Partition R into by squares and let N , limUp = limLp = integrable
    Up = upper Riemann sum of f respect to partition  U(f,p) =
    Lp = Lower Riemann sum of f respect to partition  L(f,p) =

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    is defined as if and otherwise. Show that is integrable on ...

    Solution Summary

    A function is found to be Riemann integrable, and its upper and lower sums are found. The solution is detailed and well presented.