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pangea429
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Please assist me with the following. I've been thinking about it for a while, but don't know where to begin.
Let g be a bounded measurable function on a measurable set A,
and h be bounded measurable functions on a measurable set B.
Suppose that \forall c \in R,
\mu{x \in A | g(x) \geq c} = \mu{x \in B | h(x) \geq c}.
Prove that \intA g = \intB h.
Let g be a bounded measurable function on a measurable set A,
and h be bounded measurable functions on a measurable set B.
Suppose that \forall c \in R,
\mu{x \in A | g(x) \geq c} = \mu{x \in B | h(x) \geq c}.
Prove that \intA g = \intB h.
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