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Math Help - Decreasing function integral

  1. #1
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    Decreasing function integral

    Hi, everybody! I'm just taking my first integral calculus course, so I'm having a little trouble with some things. I hope you can guide me to prove this:

    "If f is a decreasing function on [a, b], prove that f is integrable."

    Thanks!
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  2. #2
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    Re: Decreasing function integral

    Quote Originally Posted by Cesc1 View Post
    "If f is a decreasing function on [a, b], prove that f is integrable."
    A decreasing function on [a,b] then the set of discontinuities is countable.
    That means the function is Riemann integrable.
    Thanks from HallsofIvy and Cesc1
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