The Mean Value Theorem for Integrals has a vital 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 show an example of both of them in this video. In another video, I present them both and give an example for the Mean Value Theorem.

The Mean Value Theorem for Integrals and the average value of a function
   • The Mean Value Theorem for Integrals ...  

For supporting videos of definite integrals and antidifferentiation, view:
Finding definite integrals the easy way, the Fundamental Theorem of Calculus
   • Finding definite integral values the ...  
Evaluating definite integrals using the Fundamental Theorem of Calculus
   • Evaluating the definite integral usin...  
What are antiderivatives and indefinite integrals?
   • What are antiderivatives and indefini...  

My Calculus 1 with Analytical Geometry playlist contains a lot more videos on integration and other topics. Check it out!

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