Choosing the normal in a scalar field over sphere

Hi!

EDIT: I am not allowed to use Gauss in this problem

The Question:

Solve the surface integral of (2x+x^3*z)***n**dS over the surface of the sphere with origo in (0,1,0) with radius 1. **n** points outward.

My attempt at solution:

I have no attempt made because I get stuck at the fact that (2x+x^3*z) is multiplied by a vector **n**. For this to be a viable solution I assume that **n** can only be in one directon x,y or z otherwise I have to integrate over a vector and that does not feel right for me.

What would **n** be for a sphere and why cant I find any information anywhere what it might be?