3. Let Cibe the circle radius 2 centered at the origin, oriented counterclockwise, let C₂ be the center radisus 1 and center at the origin, oriented clockwise and let C = C₁ U C₂. Use Green's theorem to evaluate the line integral (4x² − y³)dx + (x³ + y²)dy

Trigonometry (MindTap Course List)
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Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
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3. Let Cibe the circle radius 2 centered at the origin, oriented counterclockwise, let C₂ be the
center radisus 1 and center at the origin, oriented clockwise and let C = C₁ U C2. Use Green's
theorem to evaluate the line integral f(4x² − y³)dx + (x³ + y²)dy
Transcribed Image Text:3. Let Cibe the circle radius 2 centered at the origin, oriented counterclockwise, let C₂ be the center radisus 1 and center at the origin, oriented clockwise and let C = C₁ U C2. Use Green's theorem to evaluate the line integral f(4x² − y³)dx + (x³ + y²)dy
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