Hi all,

I've been given a question based on Stoke's Theorem, and the question is as follows:

Given the surface, and the vector field . Use stokes formula to evaluate the integral .

My answer:

Using Stokes Theorem: .

So, I need to find . I can find a vector equation for S:

.

Then, I can calculate & . However, the latter leaves me with something that looks hideously ugly. I was just wondering if any could go over this, see whether I've done the right thing.

Thank you in advance!