If a force field is 'conservative' then a line integral is independent of path .. Of_ of dyax axcy a) Show F(x,y) =xy itxyj defines a conservative vector field. The force field is a gradient field for some function ... F(x, y) =( of of b) Find a function f such that F = Vf . The Fundamental Theorem of Line Integrals ... [ F-dr = f(r(b))-f(r(a)) c) Use part b) to evaluate [ F-dr along C: r(1)=(1+ sin|~ x ], + cos , at ) , osis1