The region D is included by a simple closed curve C and is symmetrical to the...
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The region D is included by a simple closed curve C and is symmetrical to the origin. That is, (x,y) D Diff (-x,- y) D D. Then show that the green's theorem and the variable transformations u = -x and v = -y make the next integral zero. P = (r*y+ cos(ry) + e") dr + (xy + xe") dy = 0. The region D is included by a simple closed curve C and is symmetrical to the origin. That is, (x,y) D Diff (-x,- y) D D. Then show that the green's theorem and the variable transformations u = -x and v = -y make the next integral zero. P = (r*y+ cos(ry) + e") dr + (xy + xe") dy = 0.
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