CALCULUS Understanding Its Concepts and Methods

Double integrals in polar coordinates

A type
*rq*
region consists of all points
(*r*,*q*),
in polar coordinates, such that
and
.
The integral of
*f*(*x*,*y*)
over such a region is given
by

A type
*q
r*
region consists of all points
(*r*,*q*),
in polar coordinates, such that
and
.
The integral of
*f*(*x*,*y*)
over such a region is given
by

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Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.