Monotone Functions are Integrable Part 3

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In this video we show that any function which is either monotonically increasing or monotonically decreasing everywhere on a closed interval [a,b] is always reimann integrable. We do this by showing that they always satisfy the integrability criterion.
  1. Elliot Nicholson
  2. monotone functions are integrable
  3. integrability of monotone functions
  4. monotone functions are riemann integrable
  5. riemann integrability of monotone functions
  6. monotonically decreasing functions are integrable
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dude it shouldnt take 45 mins to show monotone functions are integrable, you need to find a way to be more concise without rambling on at length without adding any important extra information to support your claims that you make in your videos to validate the concepts in your videos such that your information is digestible to the viewing audience who will undoubtedly listen to the entire length of your videos with your in depth explanations to concepts in your videos. just so you know i am parodying what you do to show how convoluted you are in your explanations.

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