I.10.32 Flux of the Vector Field

Condition: Find the flow of the vector field \ (\ vec {a} = 3 x \ vec {\ iMath} -z \ vec {\ jmath} \) through the surface of the surface \ (s: x^}+y^{2} = 4 \), carved by planes \ (p_ {1}: z = 0, z = 0, z = 0, z = 0, З = 0, З = 0, З = 0. P_ {2}: z = 2 \), \ (p_ {3}: y = 0, (y \ geq 0) \ quad \) using the Gauss-Ostrogradsky formula (normal external to the closed surface).