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Now you'll evaluate the integral Aysin ( 40 ) do + Toy dy on the closed curve C consisting of the line segments from ( 0 0 ) to ( 2 2 ) to ( 0 2 ) to...
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Now you'll evaluate the integralAysin ( 40 ) do + Toy dyon the closed curve C consisting of the line segments from ( 0 0 ) to ( 2 2 ) to ( 0 2 ) to ( 0 0 ) using Green's Theorem , GreenTheorem says this integral can be rewritten in the formof( 5 x ) DAIn this integral , f ( X , y )Setting up the double integral over the region D , you getB ED1 of( x x ) dady( Note that the order of integration is specified - - for this integral it will turn out that this is the easier order of integration ) . In thisEvaluating this integralI c Aysin ( 4 x ) doc + Taydy = 1 of ( x y ) dA