Evaluating Integral F dot dA using Divergence Theorem

[joemama69]

Homework Statement

use the divergence theorem to evaluate the integral F dot dA

F = (2x-z)i + x²yj + xz²k

s is the surface enclosing the unit cube and oriented outward

Homework Equations

The Attempt at a Solution

is the the region from -1 to 1 for x y and z

div F = x² + 2xz + 2

x² + 2xz + 2 dx = x³/3 + x²z + 2x from -1 to 1

14/3 dy = 14y/3 from -1 to 1 = 28/3

28/3 dz = 28z/3 from -1 to 1 = 56/3

is this correct

 

[HallsofIvy]

No, the "unit cube" is defined by 0\le x\le 1, 0\le y\le 1, 0\le z\le 1.