I.12.6 Vector Field Circulation

Calculate directly and according to the Stake formula The circulation of the vector field \ (\ bar {a} \) through the closed circuit \ (l \), set parametric: \ [\ vec {a} = y \ vec {\ iMath}+x^{2 \ jmath} -Z \ Vec {k}, \ quad l: \ left \ {\ begin {array} {c} x^{2}+y^{2} = 16 \\ z = 3 \ end {array}. \ Right. \]