Sweeping Integral Examples

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This Demonstration shows the volume of a solid bounded by three surfaces. Such a volume can be computed by the three-dimensional sweeping integral. The three integrations can be performed in different orders; use the three trigger controls to see how the volume is swept out.

Contributed by: Charles Bao (February 2019)
Open content licensed under CC BY-NC-SA


Details

This was a project for Advanced Topics in Mathematics II, 2018–2019, Torrey Pines High School, San Diego, CA.

References

[1] J. Pratt. "Triple Integral" from Wolfram MathWorld—A Wolfram Web Resource. mathworld.wolfram.com/TripleIntegral.html (Wolfram MathWorld).

[2] R. M. Aarts and E. W. Weisstein. "Fubini Theorem" from Wolfram MathWorld—A Wolfram Web Resource. mathworld.wolfram.com/FubiniTheorem.html (Wolfram MathWorld).


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