Evaluate ∫CF⃗⋅dr⃗\int_C \vec{F} \cdot d\vec{r}∫CF⋅dr where F⃗=⟨y,x⟩\vec{F} = \langle y, x \rangleF=⟨y,x⟩ and CCC is the path r⃗(t)=⟨t,t2⟩\vec{r}(t) = \langle t, t^2 \rangler(t)=⟨t,t2⟩ for 0≤t≤10 \le t \le 10≤t≤1.
111
000
1/21/21/2
1/31/31/3