Wolfram Research

Mathematica MathWorld Wolfram Science More »

The Integral Mean Value Theorem: An Illustration


	There is at least one point in the interval such that the area of the rectangle (yellow) and the area below the curve (blue) are the same. The function value at this point is defined to be the average value of the function over the interval.


	Contributed by: Paul Rosemond
	Show Initialization Code

Integral (Wolfram MathWorld)

Intermediate Value Theorem (Wolfram MathWorld)

Mean-Value Theorem (Wolfram MathWorld)

"The Integral Mean Value Theorem: An Illustration" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TheIntegralMeanValueTheoremAnIllustration/

Contributed by: Paul Rosemond

Report an issue »

Interact with Demonstrations using the latest version of the free Mathematica Player—Download Now

Related Topics

Browse all topics

Browse all education topics

Some Related Demonstrations

Share & Bookmark This Demonstration

Contribute

Powered by Wolfram Mathematica

Give us your feedback

	Source page:
	Email	Name (optional)
	Occupation (optional)	Organization (optional)
	I use Mathematica often occasionally never
	Country (optional) Remember me
	Note: Please do not include anything you consider confidential or proprietary. Your message and contact information may be shared with the author of any specific Demonstration for which you give feedback, but will not otherwise be published or distributed. Privacy Policy »

© 2009 Wolfram Demonstrations Project & Contributors

Wolfram Research

Site Index

RSS

Atom

Note: To run this Demonstration you need the free
Mathematica Player or Mathematica 7+