Set up integrals for both orders of integration. Use the more convenient order to evaluate the integral over the plane region R. dA x2 + y2 R: trapezoid bounded by y = x, y = 4x, x = 1, x = 4 y y x2 + Ap xp x2 + y2 + y Ар хр y dy dx = x² +

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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Set up integrals for both orders of integration. Use the more convenient order to evaluate the integral over the plane region R.
y
dA
x2 + v2
R: trapezoid bounded by y = x, y = 4x, x = 1, x = 4
y
y
dx dy +
v2
dx dy
x² + y°
x2 +
y
dy dx =
=
x2 + y2
Transcribed Image Text:Set up integrals for both orders of integration. Use the more convenient order to evaluate the integral over the plane region R. y dA x2 + v2 R: trapezoid bounded by y = x, y = 4x, x = 1, x = 4 y y dx dy + v2 dx dy x² + y° x2 + y dy dx = = x2 + y2
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