The Mean Value Theorem for Integrals has an important link to the average value of a continuous function on a closed interval. For a continuous function on a closed interval, the theorem guarantees that there is an input value in the closed interval for which the function value at that input is the average value. Because of the link between the two, I present them both in this video and give an example for the Mean Value Theorem. In another video, I show another example.
For supporting videos of definite integrals and antidifferentiation, view:
Finding definite integrals the easy way, the Fundamental Theorem of Calculus
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Evaluating definite integrals using the Fundamental Theorem of Calculus
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What are antiderivatives and indefinite integrals?
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