1 elliptic paraboloid & 6 triple integrals (changing the order of dxdydz) @bprpcalcbasics
1 elliptic paraboloid & 6 triple integrals (changing the order of dxdydz)  @bprpcalcbasics
Uploaded February 2026 | Updated September 2026, 2 weeks ago
Learn how to use triple integrals to find the volume of the solid, elliptic paraboloid, bounded by 9x^2+y^2=z, z=0, and z=4. We will also find all 6 possible orders for the differentials, namely dxdydz, dxdzdy, dydxdz, dydzdx, dzdxdy, and dzdydx, and how the limits of the integration would change based on the order! This is my most awesome video for triple integrals yet!
Here's how to find the answer: youtu.be/8opIQSKuxXU
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0:00 my most awesome video on triple integrals yet
1:01 dxdydz and dxdzdy
7:30 dydxdz and dydzdx
12:18 dzdxdy and dzdydx
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1 elliptic paraboloid & 6 triple integrals (changing the order of dxdydz)

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