apply green's theorem to solve this problem, solve with a step by step, thanks Evaluate ( int_{C} f(x, y, z) d s ), where ( f(x, y, z)=x+y-z ) and ( C ) is defined by ( x= ) ( 4 cos ^{3} t, y=4 sin ^{3} t, z=3 sin 2 t ), with ( 0 leq t leq frac{ pi}{2} ! )

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apply green's theorem to solve this problem, solve with a step by step, thanks  Evaluate  (  int_{C} f(x, y, z) d s  ), where  ( f(x, y, z)=x+y-z  ) and  ( C  ) is defined by  ( x=  )  ( 4  cos ^{3} t, y=4  sin ^{3} t, z=3  sin 2 t  ), with  ( 0  leq t  leq  frac{ pi}{2} !  )

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