Explanation Given Info: ∮ y e x d x + x e y d y The vertices of triangle ( − 1 , 0 ) , ( 0.4 ) , ( 0 , 1 ) Formula Used: by green's theorem ∮ P d x + Q d y = ∬ ( ∂ Q ∂ x − ∂ P ∂ y ) d A Calculation: ∮ y e x d x + x e y d y The vertices of triangle ( − 1 , 0 ) , ( 0.4 ) , ( 0 , 1 ) by green's theorem ∮ P d x + Q d y = ∬ ( ∂ Q ∂ x − ∂ P ∂ y ) d A P = y e x , Q = x e y ∂ ∂ x ( y e x ) = e x , ∂ ∂ y ( x e y ) = e y ∮ P d x + Q d y = ∬ ( ∂ Q ∂ x − ∂ P ∂ y ) d A ∮ y e x d x

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 18, Problem 6CRE

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To evaluate the line integral $\oint y e^{x} d x + x e^{y} d y$

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Chapter 18, Problem 5CRE

Chapter 18, Problem 7CRE

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Chapter 18 Solutions

CALCULUS (CLOTH)

Ch. 18.1 - Prob. 1PQ Ch. 18.1 - Prob. 2PQ Ch. 18.1 - Prob. 3PQ Ch. 18.1 - Prob. 4PQ Ch. 18.1 - Prob. 5PQ Ch. 18.1 - Prob. 1E Ch. 18.1 - Prob. 2E Ch. 18.1 - Prob. 3E Ch. 18.1 - Prob. 4E Ch. 18.1 - Prob. 5E

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