I.12.8 Vector Field Circulation

Condition: for \ (\ quad \) vector field \ (\ vec {f} (x, y, z) = \ left (x z, y z, z^{2} \ risht) \) calculate the circulation along the contour \ (c \), where the closed circuit \ (C \): \ [[[[[[[[[[[[[[ \ left \ {\ begin {array} {c} y = z \\ y = 2 z \\ z = 1 \\ x = 2 \ end {Array} \ Right. \]