Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral.
Va? - x?
dy dx
a
Va? -x?
- a
2
Change the Cartesian integral into an equivalent polar integral.
la? - x?
a
dy dx =
dr de
- a
a? - x2
The value of the double integral is
(Type an exact answer, using n as needed.)
Transcribed Image Text:Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. Va? - x? dy dx a Va? -x? - a 2 Change the Cartesian integral into an equivalent polar integral. la? - x? a dy dx = dr de - a a? - x2 The value of the double integral is (Type an exact answer, using n as needed.)
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