10044
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Triple Integral: Cone Example
Explore the solid defining the boundaries of the region for a triple integral. Change the camera position and the direction of view in three dimensions. Practice setting up the limits of integration using all six orders of integration.
Contributed by:
Abby Brown
THINGS TO TRY
Rotate and Zoom in 3D
Drag Locators
SNAPSHOTS
DETAILS
Integral adapted from Larson [1, Section 14.6, Exercise 16].
Reference
[1] R. E. Larson et al,
Calculus with Analytic Geometry
, 5th ed., Lexington, MA: D. C. Heath and Company, 1994.
RELATED LINKS
Triple Integral
(
Wolfram
MathWorld
)
Integral
(
Wolfram
MathWorld
)
ViewVector
(
Wolfram
Mathematica
Documentation Center
)
PERMANENT CITATION
Abby Brown
"
Triple Integral: Cone Example
"
http://demonstrations.wolfram.com/TripleIntegralConeExample/
Wolfram Demonstrations Project
Published: June 3, 2013
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
Triple Integral: Parabolic Cylinder and Plane Example
Abby Brown
Double Integral for Volume
Anton Antonov
Solids of Revolution
Abby Brown and MathematiClub (Torrey Pines High School)
Solids of Known Cross Section
Abby Brown (Torrey Pines High School)
Using Sampled Data to Estimate Derivatives, Integrals, and Interpolated Values
Robert L. Brown
Finding the Area of a 3D Surface with Parallelograms
Mark Peterson
Strips of Equal Width on a Sphere Have Equal Surface Areas
Mito Are and Daniel Relix (Collin College)
Volumes of Revolution Using Cylindrical Shells
Stephen Wilkerson (Towson University)
Volumes Using the Disc Method
Stephen Wilkerson (Towson University)
Some Triple Integrals for Mass
Laura R. Lynch
Related Topics
3D Graphics
Calculus
Integrals
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+