Evaluate line integral with 3 dimensions

http://www.sitmo.com/gg/latex/latex2...20%20%3E%20%0A

Where C is the loop http://www.sitmo.com/gg/latex/latex2...2%3D1%20%20%0A with z=2

with a clockwise orientation when viewed from above.

As usual, I have trouble with the third dimension. I have a problem like this without the third dimension, and I have problems with the third dimension but other shapes (parabola, etc). I'm confused with this one.

Edited: can you show me both clockwise and counterclockwise orientations? I'm not really following how to differentiate that part.