I.10.16 Flux of the vector field

condition: For a vector field \( \vec{F}(x, y, z)=(2 x, 2 y, x z) \) find the flow through the surface \( S \), where \( S \) is the part \( y=x^{2} \) cut out by the surfaces \( z=0 \), \( y=z, y=1 \)