1. Let F(x, y) = (-y,x). Let C be the boundary of the triangle with vertices (0,0), (1,0), (0,1), traversed counter-clockwise. Calculate the line integral of F(x, y) over C. No Green's Theorem!

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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13.3 - Fundamental Theorem for Line Integrals
1. Let F(x, y) = (-y,x). Let C be the boundary of the triangle with vertices (0,0), (1,0), (0,1),
traversed counter-clockwise. Calculate the line integral of F(x, y) over C. No Green's Theorem!
Transcribed Image Text:13.3 - Fundamental Theorem for Line Integrals 1. Let F(x, y) = (-y,x). Let C be the boundary of the triangle with vertices (0,0), (1,0), (0,1), traversed counter-clockwise. Calculate the line integral of F(x, y) over C. No Green's Theorem!
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