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Math Help - Proof of Riemann integrability of monotonic

  1. #1
    Member thaopanda's Avatar
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    Proof of Riemann integrability of monotonic

    I need help with this proof...

    Show that if f: [a,b] \rightarrow R is monotonic (where a, b \in R, a < b) then f is Riemann integrable on [a,b].
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  2. #2
    Senior Member roninpro's Avatar
    Joined
    Nov 2009
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    Hello.

    It might be a useful fact that a monotonic function defined on some closed interval has at most countably many (jump) discontinuities. It seems that in the worst case scenario, you would have to talk about an infinite series of Riemann integrals.

    Just throwing some ideas out there. Good luck.
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