Find the value of 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.
13+15+17\frac{1}{3} + \frac{1}{5} + \frac{1}{7}31+51+71
12+13+14\frac{1}{2} + \frac{1}{3} + \frac{1}{4}21+31+41
13+25+37\frac{1}{3} + \frac{2}{5} + \frac{3}{7}31+52+73
111