Volumes, Volume Integrals and Change of Variables - Maple Application Center
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Volumes, Volume Integrals and Change of Variables

Author
: Jack Wagner
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Somewhere around the middle of the first year Calculus course we learn how to evaluate integrals by a "change of variables" technique, to solve the problems like Int(1/(1+x^2)^2, x), which is tranformed by the substitution, x=cosh(u). The same idea may be applied to hte integrals in higher dimensions. We may regard this procedure as a change of coordinates or as a reparametrization, whichever viewpoint is more convenient. Look at the problem of finding the area of a circle from the perspective of surface integrals.

Application Details

Publish Date: April 12, 2002
Created In: Maple V
Language: English

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