y JJ x² + x2 DA dA R: trapezoid bounded by y = x, y = 4x, x = 1, x = 4 y y x² + dx dy + dx dy x² + Jy/4 120 [ dy dx =

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.
J
y
x² + y²
dA
JR
R: trapezoid bounded by y = x, y = 4x, x = 1, x = 4
y
y
dx dy +
dx dy
x² + y²
x² + y²
y/4
у
-**=
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. J y x² + y² dA JR R: trapezoid bounded by y = x, y = 4x, x = 1, x = 4 y y dx dy + dx dy x² + y² x² + y² y/4 у -**= dy dx = x² + y²
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