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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.
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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