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- Shell_integration abstract "Shell integration (the shell method in integral calculus) is a means of calculating the volume of a solid of revolution, when integrating along an axis perpendicular to the axis of revolution. While less intuitive than disc integration, it usually produces simpler integrals.It makes use of the so-called "representative cylinder". Intuitively speaking, part of the graph of a function is rotated around an axis, and is modelled by an infinite number of hollow pipes, all infinitely thin.The idea is that a "representative rectangle" (used in the most basic forms of integration – such as ∫ x dx) can be rotated about the axis of revolution; thus generating a hollow cylinder. Integration, as an accumulative process, can then calculate the integrated volume of a "family" of shells (a shell being the outer edge of a hollow cylinder) – as volume is the antiderivative of area, if one can calculate the lateral surface area of a shell, one can then calculate its volume.Shell integration can be considered a special case of evaluating a double integral in polar coordinates.".
- Shell_integration thumbnail Shell_integration.svg?width=300.
- Shell_integration wikiPageExternalLink topicArticleId-39909,articleId-39907.html.
- Shell_integration wikiPageID "330618".
- Shell_integration wikiPageRevisionID "594446893".
- Shell_integration hasPhotoCollection Shell_integration.
- Shell_integration title "Method of Shells".
- Shell_integration urlname "MethodofShells".
- Shell_integration subject Category:Integral_calculus.
- Shell_integration comment "Shell integration (the shell method in integral calculus) is a means of calculating the volume of a solid of revolution, when integrating along an axis perpendicular to the axis of revolution. While less intuitive than disc integration, it usually produces simpler integrals.It makes use of the so-called "representative cylinder".".
- Shell_integration label "Shell integration".
- Shell_integration sameAs m.01wvz6.
- Shell_integration sameAs Q7493717.
- Shell_integration sameAs Q7493717.
- Shell_integration wasDerivedFrom Shell_integration?oldid=594446893.
- Shell_integration depiction Shell_integration.svg.
- Shell_integration isPrimaryTopicOf Shell_integration.
