Calculate the work done by the vector field F=⟨2x,2y⟩\mathbf{F} = \langle 2x, 2y \rangleF=⟨2x,2y⟩ along the path r(t)=⟨cost,sint⟩\mathbf{r}(t) = \langle \cos t, \sin t \rangler(t)=⟨cost,sint⟩ for 0≤t≤π0 \le t \le \pi0≤t≤π.
000
111
−1-1−1
π\piπ