Chapter 6, Problem 72AP

A vector field $\text{<mover accent="true"> E </mover>}$

→ (not necessarily an electric field; note units) is given by ${\text{<mover accent="true"> E </mover>}}^{}$

→  = 3x 2 k ∧ . Calculate

   ${\displaystyle {\int }_s\text{<mover accent="true"> E </mover>}}$

→ ⋅ n ∧ da, where S is the area shown below. Assume that $\stackrel{\wedge }{\text{n}}\text{=}\stackrel{\wedge }{\text{k}}.$