Evaluate the double integral by change of variables x - y cos? x + y sin x + y dA, where R is the triangle region with vertices (0,0), (0, 1), and (1,0).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 35E
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Evaluate the double integral by change of variables
x - y
cos?
dA,
x + y
sin
R
x + y
where R is the triangle region with vertices (0,0), (0, 1), and (1,0).
Transcribed Image Text:Evaluate the double integral by change of variables x - y cos? dA, x + y sin R x + y where R is the triangle region with vertices (0,0), (0, 1), and (1,0).
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