3. Use Green's Theorem to evaluate the line integral fy³dx + (x³ + 3xy²)dy, where C consists of the positively oriented path from (0,0) to (1,1) along the curve y = x³ followed by the line segment from (1,1) to (0,0).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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3. Use Green's Theorem to evaluate the line integral fy³dx + (x³ + 3xy2)dy, where C consists of the
positively oriented path from (0,0) to (1,1) along the curve y = x³ followed by the line segment from
(1,1) to (0,0).
Transcribed Image Text:3. Use Green's Theorem to evaluate the line integral fy³dx + (x³ + 3xy2)dy, where C consists of the positively oriented path from (0,0) to (1,1) along the curve y = x³ followed by the line segment from (1,1) to (0,0).
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