Explanation Given: The line integral: ∮ C ( 3 x + 5 y − cos y ) d x + x sin y d y Where C is any closed curve enclosing a region with area 4 oriented counter clock-wise. Formula used: As per Green’s Theorem: ∮ C f . d r = ∫ C P d x + Q d y = ∬ D ( δ Q δ x − δ P δ y ) d A Calculation: Using Green’s theorem, we can write: ⇒ ∫ C P d x + Q d y = ∬ D ( δ Q δ x − δ P δ y ) d A ⇒ ∮ C ( 3 x + 5 y − cos y ) d x + x sin y d y =

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ISBN: 9781319434526

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 18, Problem 4CRE

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The line integral $\oint_{C} (3 x + 5 y - \cos y) d x + x \sin y d y$ using Green’s theorem.

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Chapter 18, Problem 3CRE

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Chapter 18 Solutions

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The line integral ∮ C ( 3 x + 5 y − cos y ) d x + x sin y d y using Green’s theorem.

Solution Summary: The author evaluates the line integral C using Green's Theorem.

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To evaluate:

The line integral $\oint_{C} (3 x + 5 y - \cos y) d x + x \sin y d y$ using Green’s theorem.

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Chapter 18 Solutions

The line integral ∮ C ( 3 x + 5 y − cos y ) d x + x sin y d y using Green’s theorem.

Solution Summary: The author evaluates the line integral C using Green's Theorem.

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To evaluate: The line integral ∮C(3x+5y−cosy)dx+xsinydy using Green’s theorem.

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Chapter 18 Solutions

To evaluate:

The line integral $\oint_{C} (3 x + 5 y - \cos y) d x + x \sin y d y$ using Green’s theorem.