Find the value of 1-1/16 (x² + y²) dy dx + ſ', [~ ² * (x² + y²) dy de by expressing it as one iterated double integral in polar coordinates. I

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find the value of
√2-1²
√2-
I
= [₁ ²72 ( 1²³ + 3²³) dy dx +
[(x² + y²) dy dx + ſ ' ſY²* (2² + y²) dy dx
√2 J
by expressing it as one iterated double integral in polar coordinates.
Transcribed Image Text:Find the value of √2-1² √2- I = [₁ ²72 ( 1²³ + 3²³) dy dx + [(x² + y²) dy dx + ſ ' ſY²* (2² + y²) dy dx √2 J by expressing it as one iterated double integral in polar coordinates.
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