Mathematics Archives
Math Archives: Visual Calculus: Antiderivatives/average Value of a Function
This site has the definition of average of a function by using integrals. The site also contains the proof of the mean value theorem which may be viewed one step at a time. There are links to related exercises whose answer is shown one...
Paul Dawkins
Paul's Online Notes: Average Function Value
This tutorial takes a look at using definite integrals to determine the average value of a function on an interval and also the Mean Value Theorem for integrals.
Texas Instruments
Texas Instruments: Average Value
The definite integral is used to find the average value of a function. It will show the steps of the 2nd Fundamental Theorem and also the alternate approach of having the capabilities of the graphing calculator work the entire problem at...
University of California
Average Value of a Function
This site contains a PowerPoint presentation on the average value of a function.
University of California
Ucla Mathematics Department:average Value of a Function
UCLA Mathematics Department provides specific example of the average value of a function.
Math Open Reference
Math Open Reference: Average Value
A complete reference guide to the average value. It provides a definition and examples that enhance further explanation. Includes links to related topics.
Khan Academy
Khan Academy: Average Value of a Function Over a Closed Interval
This video, from Khan Academy, explains the concept of "average value of a function over a closed interval".
Khan Academy
Khan Academy: Practice Average Value of a Function
Practice finding the average value of a function.
Interactive Mathematics
Interactive Mathematics: Even Crash Test Dummies Use Calculus
Using the average value of a function, the severity of injury in crashes can be determined with integral calculus. The mini lessons reveal data that shows why it's in your best interest to wear a seat belt.
Cut the Knot
Cut the Knot!: Recipes for the "Average Value" of a Function
Site explains a "recipe" for finding the average value of a function using summations.
Interactive Mathematics
Interactive Mathematics: Average Value of a Function
Examples demonstrate how integrals are used to find the average value of a function. Check out the Head Injury Criterion link for an interesting application of average value.