Evaluate the line integral ∫CF⃗⋅dr⃗\int_C \vec{F} \cdot d\vec{r}∫CF⋅dr where F⃗=⟨y2,2xy+ez,yez⟩\vec{F} = \langle y^2, 2xy + e^z, ye^z \rangleF=⟨y2,2xy+ez,yez⟩ and CCC is any path from (1,0,0)(1, 0, 0)(1,0,0) to (0,1,1)(0, 1, 1)(0,1,1).
e−1e - 1e−1
1−e1 - e1−e
eee
000