Find the work done by the force field F=⟨y2,x2⟩\mathbf{F} = \langle y^2, x^2 \rangleF=⟨y2,x2⟩ along the path r(t)=⟨t,t2⟩\mathbf{r}(t) = \langle t, t^2 \rangler(t)=⟨t,t2⟩ from t=0t=0t=0 to t=1t=1t=1.
13\frac{1}{3}31
23\frac{2}{3}32
14\frac{1}{4}41
12\frac{1}{2}21