1. Are you integrating clockwise or anti-clockwise?

2. Draw a diagram.

3. Integrating anti-clockwise, here's a starter:

Line 1: x = 2, and z = 0. On this line, dx = dz = 0, dy = dy.

The integral of F along this line boils down to .

Line 2: y = 2, and x = 2. On this line, dx = dy = 0, dz = dz.

The integral of F along this line boils down to .

etc.