10182
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
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
SNAPSHOTS
RELATED LINKS
Integral
(
Wolfram
MathWorld
)
Intermediate Value Theorem
(
Wolfram
MathWorld
)
Mean-Value Theorem
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
The Integral Mean Value Theorem: An Illustration
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TheIntegralMeanValueTheoremAnIllustration/
Contributed by:
Paul Rosemond
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Two Integral Mean Value Theorems of Flett Type
Soledad María Sáez Martínez and Félix Martínez de la Rosa
Average Value via Integrals
Laura R. Lynch
Triple Integral: Cone Example
Abby Brown
Riemann Sums: A Simple Illustration
Phil Ramsden
Triple Integral: Parabolic Cylinder and Plane Example
Abby Brown
Average Value of a Function
Michael Largey and Samuel Leung
The Fundamental Theorem of Calculus
Chris Boucher
Using Sampled Data to Estimate Derivatives, Integrals, and Interpolated Values
Robert L. Brown
Visual Computation of an Integral
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Improper Integrals
Bruce Atwood
Related Topics
Calculus
Integrals
High School Calculus and Analytic Geometry
High School Mathematics
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+