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.

Finding Bounds of a Triple Integral in Rectangular Coordinates
MySecretMathTutor
98.6K views • Dec 9, 2020
Finding Bounds of a Triple Integral in Rectangular Coordinates

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

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Video Information

Views

98.6K

Likes

2.6K

Duration

4:56

Published

Dec 9, 2020

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