9.8.6 Surface integrals

(a) Problem: Calculate the surface integral of the 2nd kind: \[ \iint_{S}(5 x+y) d y d z+z d x d y \] where \( S \) is the inside of the ellipsoid \( x^{2} / 4+ \) \( +y^{2} / 9+z^{2}=1 \).