Thursday, December 4, 2025

Setting up a triple integral in cylindrical coordinates in two ways.

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 It is possible to set up a triple integral in cylindrical coordinates in two ways. We are going to do that by solving an example. Example  ...
Saturday, November 22, 2025

Setting up a triple integral over a general region in cylindrical coordinates

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  Goal: Set up a triple integral over a general region in cylindrical coordinates If the cylindrical region over which we have to integrate...
Thursday, November 20, 2025

Integration in cylindrical coordinates

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  Objective: Evaluate a triple integral by changing to cylindrical coordinates Review of Cylindrical coordinates Representation of a point i...
Wednesday, November 12, 2025

Average value of a function of three variables

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  Goal : Find the average value of a function of three variables The average value of a function of two variables is found by dividing the v...
Monday, November 3, 2025

Changing the order of integration and coordinate systems

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As we have seen previously, in order to change the order of integration of a triple integral of a function over a bounded region, the region...
Monday, October 27, 2025

Changing the order of integration in a triple integral

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  Goal: Change the order of integration in a triple integral over a  general bounded region. Considerations Changing the order of integratio...
Saturday, October 18, 2025

Finding a volume by evaluating triple integrals

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 Goal: Find the volume of a solid using a triple integral. Just as we used a double integral to find an area, we are going to use a triple i...