(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

V.Field F(x,y,z)=<x^2 z, xy^2, z^2> where S is part of the plane x+y+z=1 inside cylinder x2 + y2 =9

2. Relevant equations

Line integrals, Stokes Theorem, Parametrizing intersections...

3. The attempt at a solution

I found the answer to be 81pi/2 using stoke's theorem and the double integral, but now I have to verify it using a line integral and I'm stuck. I think r(t) is supposed to = <3cos(t), 3sin(t), 1-3cos(t)-3sin(t)> but it just turns out so nasty I'm wondering if there are pieces I'm missing. Any help is appreciated.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# [Calc 3] Verifying Stokes Theorem

**Physics Forums | Science Articles, Homework Help, Discussion**