Average Value of Functions

Solomon Xie
Calculus Basics
Published in
1 min readJan 21, 2019

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Refer to Khan academy: Average value over a closed interval
Refer to video: Average Value of a Function on an Interval

Calculating Favg is just to get the actual area of the function,
and then "reform" it to a rectangle,
then divide it by its width, then you get the height.

Strategy:

  • Calculate the function’s integral, which is the Actual area of the function
  • Calculate the Interval, which is the imaginary rectangle's width.
  • Divide the area by width to get the Average value of function, which is the height.

Mean value theorem for integrals

It actually IS the Average Value of Functions

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Solomon Xie
Calculus Basics

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