9.8.9 Surface integrals

3) Problem: Calculate the surface integral of the \( 2^{\text {nd }} \) kind: \[ \iint_{S}(5 x+y) d y d z+z d x d y \] where \( S \) is the outer side of the full surface of the cone \( x^{2}+y^{2} \leq z^{2}, 0 \leq z \leq 4 \).