Evaluate $\int _ { c } \mathbf { F } d \mathbf { r }$

Multiple Choice

Evaluate $\int _ { c } \mathbf { F } d \mathbf { r }$ where $\mathbf { F } ( x , y , z ) = \left\langle y + 2 x z , x , x ^ { 2 } \right\rangle$ and $C$ is any curve from $( 1,0,2 )$ to $( 2,3,0 )$ .

A) $6$
B) $- 2$
C) $- 4$
D) $1$
E) $- 6$
F) $2$
G) $4$
H) $0$