Green's Theorem as a Fundamental Theorem of Calculus Show that if the circulation form of Green's f(x)' Theorem is applied to the vector field ( 0,). where c > 0 and R = {(x, y): a SIS b,0 s ys c}, then the result is the Fundamental Theorem of Calculus, dx = f(b) – f(a).

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.FOM: Focus On Modeling: Vectors Fields
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Green's Theorem as a Fundamental Theorem of Calculus
Show that if the circulation form of Green's
f(x)'
Theorem is applied to the vector field ( 0,). where c > 0
and R = {(x, y): a SIS b,0 s ys c}, then the result is the
Fundamental Theorem of Calculus,
dx = f(b) – f(a).
Transcribed Image Text:Green's Theorem as a Fundamental Theorem of Calculus Show that if the circulation form of Green's f(x)' Theorem is applied to the vector field ( 0,). where c > 0 and R = {(x, y): a SIS b,0 s ys c}, then the result is the Fundamental Theorem of Calculus, dx = f(b) – f(a).
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