# Line Integrals Over Vector Fields

1. Nov 30, 2011

### TranscendArcu

1. The problem statement, all variables and given/known data
http://img37.imageshack.us/img37/4223/skjermbilde20111130kl95.png [Broken]

3. The attempt at a solution

I have r'(t) = <-sin(t),cos(t),2cos(t)sin(t)>

I get $$\int_0^{2*pi} F[x(t),y(t),z(t)] • r'(t) dt = sin^4(t)/3 + cos^4(t)/3 + 2cos(t)sin(t)*e^{2cos(t)sin(t) * 2cos(t)sin(t) * 2cos(t)sin(t)}$$

Now this seems kind of tricky to integrate, and I doubt the problem is actually that bizarre. I wasn't sure how to implement the hint given in the problem. Maybe that will help me.

Last edited by a moderator: May 5, 2017