Hi there. I was trying to solve this problem, from the book. The problem statement says:
Integrate over the portion of the surface under the plane z=2, directly and using Stokes theorem.
So I started solving the integral directly. For the rotational I got:
Then I parametrized the surface.:
Then I did:
For the cross product I got:
And then I computed the integral
The result given by the book is: .
I don't know what I did wrong, and is one of the first exercises that I've solved for the stokes theorem, so maybe I could get some advices and corrections from you
Thank you in advance. Bye.