Assume f > g two measurable function on [a,b] and

E={(x,y) : g(x)≤y≤f(x), x ∈ [a,b]}

Show ∫ (f-g) dm = m×m E . that m is lebesgue measure.

(limits of integration is a,b)

help will be appreciated so much

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- Jan 11th 2010, 01:56 AMpolo747lebesgue measure
Assume f > g two measurable function on [a,b] and

E={(x,y) : g(x)≤y≤f(x), x ∈ [a,b]}

Show ∫ (f-g) dm = m×m E . that m is lebesgue measure.

(limits of integration is a,b)

help will be appreciated so much - Jan 11th 2010, 02:42 AMShanks
Hint:Fubini Theorem