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maroonpig687Lv1
6 Nov 2019
Now you'll evaluate the integral C 2y cos(7x) dx + 8xy dy on the closed curve C consisting of the line segments from (0,0) to (5,1) to (0,1) to (0,0) using Green's Theorem. Green's Theorem says this integral can be rewritten in the form integral D f(x, y) dA In this integral, f(x,y) = Setting up the double integral over the region D, you get integral A B integral c D f(x,y)dx dy (Note that the order of integration is specified--for this integral it will turn out that this is the easier order of integration). In this, A = B = C = D = Evaluating this integral, 2y cos(7x)dx + 8xydy = D f(x,y) dA = Show transcribed image text
Now you'll evaluate the integral C 2y cos(7x) dx + 8xy dy on the closed curve C consisting of the line segments from (0,0) to (5,1) to (0,1) to (0,0) using Green's Theorem. Green's Theorem says this integral can be rewritten in the form integral D f(x, y) dA In this integral, f(x,y) = Setting up the double integral over the region D, you get integral A B integral c D f(x,y)dx dy (Note that the order of integration is specified--for this integral it will turn out that this is the easier order of integration). In this, A = B = C = D = Evaluating this integral, 2y cos(7x)dx + 8xydy = D f(x,y) dA =
Show transcribed image text Casey DurganLv2
30 Aug 2019