2. Find the value of the line integral foF dr without using Green's Theorem, where F(x, y) = (x+y)i + 1 (x² + y²) j, and C is the boundary of the region that lies in the upper-half plane between the circles x² + y² = 1 and ² + y² = 4 and the line y = 0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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2. Find the value of the line integral foF dr without using Green's Theorem, where
F(x, y) = (x+y)i +
1
(x² + y²)
and C is the boundary of the region that lies in the upper-half plane between the circles
x² + y² = 1 and x² + y² = 4 and the line y = 0.
Transcribed Image Text:2. Find the value of the line integral foF dr without using Green's Theorem, where F(x, y) = (x+y)i + 1 (x² + y²) and C is the boundary of the region that lies in the upper-half plane between the circles x² + y² = 1 and x² + y² = 4 and the line y = 0.
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