Evaluate the line integral $\int_{\mathcal{C}} \mathbf{F} \cdot \,d\ \mathbf{r}$ where $\mathbf{F}=\left< 2 \sin x, \cos y, 10 xz \right>$ and $\mathcal{C}$ is the path given by $\mathbf{r}(t) = (-2 t^3, -3 t^2, -3 t)$ for $0 \le t \le 1$

$\int_{\mathcal{C}} \mathbf{F} \cdot \,d\ \mathbf{r}=$