Finding Bounds of a Triple Integral in Rectangular Coordinates
This video demonstrates the process of determining the bounds for a triple integral in rectangular coordinates using the collapsing method, also known as the shadow method.

MySecretMathTutor
98.6K views • Dec 9, 2020

About this video
This video shows how to find the bounds on a triple integral in rectangular coordinates using the method of collapsing. This method is also called the shadow method. Remember that you must describe the surfaces that you enter and exit in terms of the variable associated with the direction of movement.
▬▬ Chapters ▬▬▬▬▬▬▬▬▬▬▬
0:00 Start
0:05 What does a triple integral describe?
0:38 The method of collapsing
1:12 The bounding surfaces of the region
1:29 Example 1, dzdydx
2:49 Example 2, dydxdz
4:15 A note on keeping bounds simple
4:28 Wrap up information and ending
▬▬ Related Videos ▬▬▬▬▬▬▬▬▬▬▬
This video is related to many other topics. Check them out:
Evaluating a definite integral: https://youtu.be/xo9jxrVGnnY
Find the volume using the shell method: https://youtu.be/rLHWEFCOPVw
Find the volume using circular slices: https://youtu.be/omdnmrzVUek
▬▬ Graphs ▬▬▬▬▬▬▬▬▬▬▬
https://www.math3d.org/fN0u8fQH
▬▬ Links ▬▬▬▬▬▬▬▬▬▬▬
Website: https://www.MySecretMathTutor.com
Contact: https://www.mysecretmathtutor.com/contact-me
▬▬ Want to help? ▬▬▬▬▬▬▬▬▬▬▬
You can make MySecretMathTutor even better by contributing community subtitles.
Subtitles: http://www.youtube.com/timedtext_cs_panel?c=UCcBOg_7QmpJFlIVMYDyUhaw&tab=2
▬▬ Chapters ▬▬▬▬▬▬▬▬▬▬▬
0:00 Start
0:05 What does a triple integral describe?
0:38 The method of collapsing
1:12 The bounding surfaces of the region
1:29 Example 1, dzdydx
2:49 Example 2, dydxdz
4:15 A note on keeping bounds simple
4:28 Wrap up information and ending
▬▬ Related Videos ▬▬▬▬▬▬▬▬▬▬▬
This video is related to many other topics. Check them out:
Evaluating a definite integral: https://youtu.be/xo9jxrVGnnY
Find the volume using the shell method: https://youtu.be/rLHWEFCOPVw
Find the volume using circular slices: https://youtu.be/omdnmrzVUek
▬▬ Graphs ▬▬▬▬▬▬▬▬▬▬▬
https://www.math3d.org/fN0u8fQH
▬▬ Links ▬▬▬▬▬▬▬▬▬▬▬
Website: https://www.MySecretMathTutor.com
Contact: https://www.mysecretmathtutor.com/contact-me
▬▬ Want to help? ▬▬▬▬▬▬▬▬▬▬▬
You can make MySecretMathTutor even better by contributing community subtitles.
Subtitles: http://www.youtube.com/timedtext_cs_panel?c=UCcBOg_7QmpJFlIVMYDyUhaw&tab=2
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Video Information
Views
98.6K
Likes
2.6K
Duration
4:56
Published
Dec 9, 2020
User Reviews
4.7
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