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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 60E
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Green's Theorem as a Fundamental Theorem of Calculus Show
that if the flux form of Green's Theorem is applied to
'f(x)
the vector field (, 0). where c > 0 and
R = {(x, y): a < x s b, 0 s y s c}, then the result is the
Fundamental Theorem of Calculus,
dx = f(b) – f(a).
x
Transcribed Image Text:Green's Theorem as a Fundamental Theorem of Calculus Show that if the flux form of Green's Theorem is applied to 'f(x) the vector field (, 0). where c > 0 and R = {(x, y): a < x s b, 0 s y s c}, then the result is the Fundamental Theorem of Calculus, dx = f(b) – f(a). x
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