Now you'll evaluate the integral 4y sin(6x) dx + 7xy dy on the closed curve C consisting of the line segments from (0,0) to (4,5) to (0,5) to (0,0) using Green's Theorem. Green's Theorem says this integral can be rewritten in the form f(x,y) dA In this integral, f(x.y)-7y-4sin(6x) Setting up the double integral over the region D, you get f(x,y) dx dy JA Jc (Note that the order of integration is specif is the easier order of integration). In this, ed--for this integral it will turn out that this С 0 Evaluting this integral, lay sin(6x)dx + 7 xydy-//D f(x.Ñ) dAz 5(175xA2/32-5xsin6x)
Show transcribed image textNow you'll evaluate the integral 4y sin(6x) dx + 7xy dy on the closed curve C consisting of the line segments from (0,0) to (4,5) to (0,5) to (0,0) using Green's Theorem. Green's Theorem says this integral can be rewritten in the form f(x,y) dA In this integral, f(x.y)-7y-4sin(6x) Setting up the double integral over the region D, you get f(x,y) dx dy JA Jc (Note that the order of integration is specif is the easier order of integration). In this, ed--for this integral it will turn out that this С 0 Evaluting this integral, lay sin(6x)dx + 7 xydy-//D f(x.Ñ) dAz 5(175xA2/32-5xsin6x)