# Continuous Functions Are Integrable

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This Demonstration illustrates a theorem from calculus: A continuous function on a closed interval is integrable, which means that the difference between the upper and lower sums approaches 0 as the length of the subintervals approaches 0.

Contributed by: Izidor Hafner (March 2011)

Based on a program by: Ed Pegg Jr

Open content licensed under CC BY-NC-SA

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"Continuous Functions Are Integrable"

http://demonstrations.wolfram.com/ContinuousFunctionsAreIntegrable/

Wolfram Demonstrations Project

Published: March 7 2011