I. 12.y Vector Field Circulation

Condition: Calculate the circulation of the vector field \ (\ vec {f} \) through the closed circuit \ (l \) directly and according to the stock formula: \ [\ begin {array} {l} \ vec {f} = a x^{2} Y \ VEC {\ IMATH}+Y^{2} Z \ VEC {\ JMath}+X Z^{2} \ VEC {K}, \ Quad L: \ Left \ {\ Begin {Array} {C} x^{2}+y^{2}+z^{2} = b^{2} \\ x = C \ End {Array} \ Right. \\ a = 3, \ quad b = 2, \ quad C = 3. \ end {Array} \]