# definition of Lebesgue sum

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Using the definition of Lebesgue sum, show Lebesgue integral.

21.1 Definition: If f is bounded measurable function on a bounded measurable set , if is a partition of and if for then we call a Lebesgue sum of f relative to P.

26.5 Show directly from Definition 21.1 that if f is bounded and m(A)=0, then .

26.7 Show directly from Definition 21.1 that if f(x) = x for , then

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##### Solution Summary

Lebesgue Integral is clearly depicted.

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