Possible Line Derivative Problem?

[Unart]

Homework Statement

Cacualte the work done by the force field F=(x,y,z) along the path (cos(t),sin(t),t), for 0≤t≤3∏

Homework Equations

∫F*ds= ∫F(c(t))dot c'(t) ?

The Attempt at a Solution

No attempt, I don't know where to start. I'm not sure how to start it. Notice, I posted question mark by the relevant equation. Do I plug the path equation into the F vector --- take the derivative of the path vector for c'(t)?

Does this sound right?

 

[Simon Bridge]

F is going to be a vector - and so is the path.
http://en.wikipedia.org/wiki/Line_integral#Line_integral_of_a_vector_field
... your expression is correct - but needs to end in "dt"

 

[Unart]

Thanks Simon... I know what to do from there. I just was afraid I was going down the wrong path.

 

[Simon Bridge]

Chears.