I.10.31 Flux of the vector field

Condition: Using the Ostrogradsky-Gauss formula, find the field flux \( F=i+5 y j+ \) \( +11 \pi z k \) through the surface of the tetrahedron bounded by the planes \( x+(z / 2)=1 \), \( x=0, y=0, z=0 \). Calculate the same flow directly and make sure the results match.