Evaluate the line integral ∫CF⋅dr\int_C \mathbf{F} \cdot d\mathbf{r}∫CF⋅dr for F(x,y,z)=⟨y2,z2,x2⟩\mathbf{F}(x, y, z) = \langle y^2, z^2, x^2 \rangleF(x,y,z)=⟨y2,z2,x2⟩ along the twisted cubic r(t)=⟨t,t2,t3⟩\mathbf{r}(t) = \langle t, t^2, t^3 \rangler(t)=⟨t,t2,t3⟩ for 0≤t≤10 \le t \le 10≤t≤1.
1/3+2/5+3/71/3 + 2/5 + 3/71/3+2/5+3/7
1/3+2/7+3/51/3 + 2/7 + 3/51/3+2/7+3/5
1/3+1/5+1/71/3 + 1/5 + 1/71/3+1/5+1/7
111