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 .
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!