I.2.7 Vector Field Circulation

Calculate the circulation of the vector field \ (\ bar {a} \) through the closed circuit g directly and according to the stock formula: \ [\ bein {array} {l} \ vec {a} = (x-y) \ vec {\ iMath}+(2 x+y) \ vec {\ jmath}+\ left (x^{2} +2 z+4 \ right) \ vec {k} \\ \ gamma: x^{2}+y^{2} = z-2, \ quad z = 0 \ End {Array \] \]