1. The problem statement, all variables and given/known data Calculate the work performed by the force field F = <y,x,z^3> from P = (1,1,1) to Q = (2,3,4). 2. Relevant equations 3. The attempt at a solution So first I found that F must be a conservative field because ∇(xy + (z^4)/r) = <y,x,z^3> Since it is a conservative field it is path independent... which means something that my teacher would be mad at me for not knowing (lol) Can I parameterize the line integral in terms of t? like c(t) = <1+t,1+2t,1+3t> c'(t) = <1,2,3> ∫F dot c'(t) dt = W? then what would be the bounds on my integral?