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Evaluate the Line Integral Cxy2dxyx2dy\oint _ { C } x y ^ { 2 } d x - y x ^ { 2 } d y

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Evaluate the line integral Cxy2dxyx2dy\oint _ { C } x y ^ { 2 } d x - y x ^ { 2 } d y around the triangle with vertices (1,0)( 1,0 ) , (0,1)( 0,1 ) , and (0,0)( 0,0 ) with clockwise orientation.


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