Find the volume of a rotational solid by integrating the area of a slice. The AP Calculus resource works through an example of finding the volume of a solid created by rotating a function about the x-axis. The presentation breaks the area formula up into pieces to be able to find each of the definite integrals.

Concepts

volume, integrals, definite integrals, solids, trigonometric functions, graphing trigonometric functions

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Additional Tags

math

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Instructional Ideas

• Use 3-D software to show the solid made by rotating the curve

Classroom Considerations

• The class should know how to determine definite integrals
• Class members need to understand how to graph trigonometric functions

• This video is hosted on YouTube

Pros

• The video does not take excess time to evaluate the integrals that can be done via calculators
• The presenter recaps the general process after working the example

Cons

• None