4) Use the Fundamental Theorem of Calculus for Line Integrals to compute S F · dīvhere \vec{F}(x, y, z)=(y z+2 x) \vec{i}+(x z-2 y) \vec{j}+(x y+2 z) \vec{k} \text { and } C \text { is the path from }(1,8,-1) \text { to }(7,4,3) \text { given by } x(t)=3 t+1, y(t)=6+2 \cos \left(\frac{\pi}{2} t\right) z(t)=t^{2}-1, \text { for } 0 \leq t \leq 2