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Calculate the Circulation of the Field F Around the Closed F=xyy2i+x2yj;\mathbf { F } = x y y ^ { 2 } \mathbf { i } + x ^ { 2 } y \mathbf { j } ;

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Calculate the circulation of the field F around the closed curve C.
- F=xyy2i+x2yj;\mathbf { F } = x y y ^ { 2 } \mathbf { i } + x ^ { 2 } y \mathbf { j } ; curve CC is the counterclockwise path around C1C2:C1:r(t) 6costi+6sintj,0tπC _ { 1 } \cup C _ { 2 } : C _ { 1 } : r ( t ) 6 \cos t i + 6 \sin t j , 0 \leq t \leq \pi
C2:r(t) =ti,6t6C _ { 2 } : r ( t ) = t i , - 6 \leq t \leq 6


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