I.10.8 Flux of the Vector Field

Calculate the flow of the vector field \ (\ vec {a} = y z \ vec {\ iMath}+ \) \ (z x \ vec {\ jmath}+ x y \ vec {k} \) through the side surface of the cylinder directly and according to the Gaussaostogram formula: \ [\ [ x^{2}+y^{2} = a^{2}, \ quad z \ geq 1, \ quad z \ leq h \]