Find the surface integral ${}_{}f(x,y,z)dS$ where $f=(x^2+y^2)z$ and $is$ the sphere $x^2+y^2+z^2=4$ above $z=1.$

Parameterize the surface integral

${}_{}f(x,y,z)dS={}_{R}f(x(,),y(,),z(,))||\frac{\text{d}\text{e}\text{l}\text{r}}{\text{d}\text{e}\text{l}}\frac{\text{d}\text{e}\text{l}\text{r}}{\text{d}\text{e}\text{l}}||dA$