Evaluate ∫CF⋅dr\int_C \mathbf{F} \cdot d\mathbf{r}∫CF⋅dr where F(x,y)=⟨y2,2xy⟩\mathbf{F}(x,y) = \langle y^2, 2xy \rangleF(x,y)=⟨y2,2xy⟩ and CCC is the curve r(t)=⟨t,t2⟩\mathbf{r}(t) = \langle t, t^2 \rangler(t)=⟨t,t2⟩ for t∈[0,1]t \in [0, 1]t∈[0,1].
15\frac{1}{5}51
111
52\frac{5}{2}25
555