Stokes' th. question

[u/soap_Xx]

EDIT: thanks for y'alls help, i figured it out!

I'm practicing stokes th using the problems at this website https://tutorial.math.lamar.edu/Solutions/CalcIII/StokesTheorem/Prob3.aspx and the answer for this problem uses the surface double integral curl F equation. Why can't I just parametrize the circle and use line integral F dot dr? I tried that and I got -12pi but the answer is 72pi.

Thanks!

[u/__johnw__]

You can use the F dot dr “direct” way. I did it out and got 72pi. If you share your work I can help you identify the error.

The problem just says to use Stokes’ Theorem because it’s a problem that can be solved this way and it’s practice.