Integral calculus | Volume

Disc integration

Disc integration, also known in integral calculus as the disc method, is a method for calculating the volume of a solid of revolution of a solid-state material when integrating along an axis "parallel" to the axis of revolution. This method models the resulting three-dimensional shape as a stack of an infinite number of discs of varying radius and infinitesimal thickness. It is also possible to use the same principles with rings instead of discs (the "washer method") to obtain hollow solids of revolutions. This is in contrast to shell integration, which integrates along an axis perpendicular to the axis of revolution. (Wikipedia).

Disc integration
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Another example of trigonometric integration.

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Visit http://ilectureonline.com for more math and science lectures! In this video I will find the electric field of a disc of charge.

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An example of trigonometric integration.

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Finding the volume of a figure that is rotated around the y-axis using the disc method. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-disk-method/e/the-disk-method?utm_

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MIT 8.01 Classical Mechanics, Fall 2016 View the complete course: http://ocw.mit.edu/8-01F16 Instructor: Dr. Peter Dourmashkin License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

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Related pages

Integral | Solid of revolution | Elliott Mendelson | Shell integration | Volume