81-82. Looking ahead: Area from line integrals The area of a region R in the plane, whose boundary is the curve C, may be computed using line integrals with the formula arca of R = [zdy = - Įydx y dx. 81. Let R be the rectangle with vertices (0,0), (a, 0), (0, b), and (a, b), and let C be the boundary of R oriented counterclockwise. Use the formula A = [cx dy to verify that the area of the rectangle is ab.
81-82. Looking ahead: Area from line integrals The area of a region R in the plane, whose boundary is the curve C, may be computed using line integrals with the formula arca of R = [zdy = - Įydx y dx. 81. Let R be the rectangle with vertices (0,0), (a, 0), (0, b), and (a, b), and let C be the boundary of R oriented counterclockwise. Use the formula A = [cx dy to verify that the area of the rectangle is ab.
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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Transcribed Image Text:81-82. Looking ahead: Area from line integrals The area of a region
R in the plane, whose boundary is the curve C, may be computed using
line integrals with the formula
arca of R = [zdy = - Įydx
y dx.
81. Let R be the rectangle with vertices (0,0), (a, 0), (0, b), and
(a, b), and let C be the boundary of R oriented counterclockwise.
Use the formula A = [cx dy to verify that the area of the
rectangle is ab.
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