= √(x − y) dx + 3x dy, I = where C consists of the four line segments from (1,0) to (3,0), then from (3,0) to (3,1), then from (3, 1) to (1, 1), and finally from (1, 1) to (1,0). The closed curve C is a rectangle with the four corners at (1,0), (3,0), (3, 1), (1, 1). In this problem, the value of I is not equal to the area of the rectangle. Rather, the value of I is k times the area of the rectangle. What is the value of k?
= √(x − y) dx + 3x dy, I = where C consists of the four line segments from (1,0) to (3,0), then from (3,0) to (3,1), then from (3, 1) to (1, 1), and finally from (1, 1) to (1,0). The closed curve C is a rectangle with the four corners at (1,0), (3,0), (3, 1), (1, 1). In this problem, the value of I is not equal to the area of the rectangle. Rather, the value of I is k times the area of the rectangle. What is the value of k?
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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Evaluate the line

Transcribed Image Text:=√(x−y) dx + 3x dy,
where C consists of the four line segments from (1,0) to (3,0),
then from (3, 0) to (3, 1), then from (3, 1) to (1, 1), and finally from (1, 1) to (1,0).
The closed curve C is a rectangle with the four corners at (1,0), (3,0), (3, 1), (1, 1).
In this problem, the value of I is not equal to the area of the rectangle. Rather, the value
of I is k times the area of the rectangle. What is the value of k?
I =
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