Shell Integration

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High Quality Content by WIKIPEDIA articles! 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. 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.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786130322694
    • Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
    • Sprache Englisch
    • Größe H220mm x B150mm x T6mm
    • Jahr 2009
    • EAN 9786130322694
    • Format Kartonierter Einband
    • ISBN 978-613-0-32269-4
    • Titel Shell Integration
    • Untertitel Calculation, Volume, Solid of Revolution, Cylinder (geometry), Graph of a Function, Antiderivative, Multiple Integral, Polar Coordinate System, Coordinate System
    • Gewicht 165g
    • Herausgeber Betascript Publishers
    • Anzahl Seiten 100
    • Genre Mathematik

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