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Ted123
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Homework Statement
Homework Equations
Monotone Convergence Theorem:
http://img696.imageshack.us/img696/5469/mct.png
The Attempt at a Solution
I know this almost follows from the theorem. But I first need to write [itex]\displaystyle \int_{I_n} f = \int_S f_n[/itex] for some [itex]f_n[/itex] in such a way that [itex](f_n)[/itex] is an increasing sequence tending to [itex]f[/itex]. (Then we have something that satisfies the hypotheses of the theorem.) What [itex]f_n[/itex] could I use?
Then in the case of any function [itex]g[/itex] can I consider positive and negative parts?
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