Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. $ 6 y*dx + 2x²dy, where C'is the square with vertices (0, 0), (2, 0), (2, 2), and (0, 2) oriented counterclockwise. f6y'dx + 2x°dy = -128

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 86E
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Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly.
$ 6 y²dx + 2x²dy, where Cis the square with vertices (0, 0), (2, 0), (2, 2), and (0, 2) oriented counterclockwise.
foy'dr + 2x*dy = i
-128
Transcribed Image Text:Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. $ 6 y²dx + 2x²dy, where Cis the square with vertices (0, 0), (2, 0), (2, 2), and (0, 2) oriented counterclockwise. foy'dr + 2x*dy = i -128
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