Find the Value of the Line Integral $\int_{c} \mathbf{F} \cdot d \mathbf{r}$

Multiple Choice

Find the value of the line integral $\int_{c} \mathbf{F} \cdot d \mathbf{r}$ , where $\mathbf{F}(x, y) =12 x y \mathbf{i}+6 x^{2} \mathbf{j}$ and $\mathbf { r } ( t ) = 8 t \mathbf { i } + 8 t ^ { 2 } \mathbf { j } , 0 \leq t \leq 1$
(Hint: If $\mathbf { F }$ is conservative, the integration may be easier on an alternate path.)

A) 3,072
B) 192
C) 6,144
D) 6,144.
E) 6,912.