1. The problem statement, all variables and given/known data What is the line integral of F(x,y,z) = (xy, x, xyz) over the unit circle c(t) = (cost, sint) t E (0,2pi) ? 2. Relevant equations integral= (f(c(t))*c'(t))dt) 3. The attempt at a solution Ok, so I tried solving this like I would any other line integral using the given equation, but it does not work, since I am taking a 3D function on a 2D function (circle) ? So...f(c(t)) cannot be anything?? As cos t can be x, sint can be y, but what is z?? I know you take the dot product, and solve, taking the integral, but I cannot figure out how to find f(c(t)) as one function has 3 variables and the other has 2? Thanks!