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t the Fundamental Theorem for line integrals can be used to evalua

t the Fundamental Theorem for line integrals can be used to evalua

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section: Chapter Questions
Problem 19T
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Verify that the Fundamental Theorem for line integrals can be used to evaluate the following line integral, and then evaluate the line integral using this theorem. Sv(ex cos y) • dr, where C is the line from (0,0) to (In 7,x) Select the correct choice below and fill in the answer box to complete your choice as needed. O A. The Fundamental Theorem for line integrals can be used to evaluate the line integral because the function is conservative on its domain and has a potential function (x,y)= (Type an exact answer.) OB. The function is not conservative on its domain, and therefore, the Fundamental Theorem for line integrals cannot be used to evaluate the line integral.
Transcribed Image Text:Verify that the Fundamental Theorem for line integrals can be used to evaluate the following line integral, and then evaluate the line integral using this theorem. Sv(ex cos y) • dr, where C is the line from (0,0) to (In 7,x) Select the correct choice below and fill in the answer box to complete your choice as needed. O A. The Fundamental Theorem for line integrals can be used to evaluate the line integral because the function is conservative on its domain and has a potential function (x,y)= (Type an exact answer.) OB. The function is not conservative on its domain, and therefore, the Fundamental Theorem for line integrals cannot be used to evaluate the line integral.
Sv(ex cos y) • dr=[ с (Simplify your answer.)
Transcribed Image Text:Sv(ex cos y) • dr=[ с (Simplify your answer.)
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