Suppose that surface σ is parameterized by r(u, v)=⟨ucos(3v),usin(3v),v⟩, 0≤u≤7 and 0≤v≤2π3 and f(x, y,z)=x2+y2+z2. set up the surface integral (you don't need to evaluate it). ∫σ∫f(x, y,z)ds=∫r∫f(x(u, v),y(u, v),z(u, v))∥∥∥∂r∂u×∂r∂v∥∥∥da = 2pi/3 ∫ 0 7 ∫ 0 u^2+v^2 ∥∥∥ ∥∥∥dudv