Chapter 6.12, Problem 21MP

In Problems 20 to 31, evaluate each integral in the simplest way possible.

${\displaystyle \iint (\nabla \times V)}\cdot nd\sigma$ over the surface consisting of the four slanting faces of a pyramid whose base is the square in the $(x,y)$ plane with corners at $(0,0),(0,2),(2,0),(2,2)$ and whose top vertex is at $(1,1,2),$ where $v=\left(x^{2}z-2\right)i+(x+y-z)j-xyzk$.