ALTEREDZINE

The purpose of this blog is to teach Math subjects : Calculus, Pre-calculus, Algebra and Basic Math. Now it focuses on Higher Math. You can also find posts on learning theories, study skills and web resources for learning.

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...
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