I.2.4 Vector Field Circulation

Calculate the circulation of the vector field \ (\ bar {a} \) through the closed circuit \ (l \) directly and according to the stock formula: \ [\ bein {array} {l} \ vec {a} = (z x+y) \ vecath}+(z y-x) \ vec {\ jmath}-\ left (x^{2}+y^{2} \ right) \ vec {k} \\ l: \ left {\ bein {array} {l} x^{2}+y^{2} = 1 \\ Z = 3 \ End {Array} \ Right. \ end {Array} \]