Path Integrals-- Multivariable Calculus Hi all-- really stuck here, help would be greatly appreciated. :) 1. Evaluate ∫Fds (over c), where F(x, y, z) = (y, 2x, y) and the path c is defined by the equation c(t) = (t, t^2, t^3); on [0, 1]: 2. Relevant equations L = sqrt(f'(t)^2 + g'(t)^2 + h'(t)^2)dt from a to b 3. The attempt at a solution I thought that F(x,y,z) could be rewritten as (t^2, 2t, t^2), F'(x,y,z) is (2t, 2, 2t) Then ∫Fds should be ∫√(2(2t)^2 +2^2)dt from 0 to 1. I don't think this is correct, though, since whenever we have integrals of the type ∫√(x^2+c)dx, our TA sends emails telling us it's okay to use Wolfram Alpha. Can anyone give me a hint in the right direction?