Mathematica MathWorld Wolfram Science More »

HOME

TOPICS

LATEST

Numerical Integration using Rectangles, the Trapezoidal Rule, or Simpson's Rule

This Demonstration compares the results of integration of several elementary functions using three methods. The exact value is the best approximation as computed by Mathematica, contrary to the approximate value computed with the method selected from the buttons.

Simpson's method works only with odd number of points; the other two methods require at least two points.

Contributed by: Bartosz Naskrecki

Show Initialization Code

(12 lines omitted)

Numerical Integration (Wolfram MathWorld)

Trapezoidal Rule (Wolfram MathWorld)

Simpson's Rule (Wolfram MathWorld)

"Numerical Integration using Rectangles, the Trapezoidal Rule, or Simpson's Rule" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/NumericalIntegrationUsingRectanglesTheTrapezoidalRuleOrSimps/

Contributed by: Bartosz Naskrecki

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

Browse all topics

Browse all education topics

	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 »

Wolfram Research

Site Index

RSS

Atom