Compute the line integral of the vector field $\mathbf{F}=\left< 3zy^{-1}, 4x,-y\right>$ over the path $\mathbf{c}(t) = (e^t,e^t,t)$ for $-2\le t \le 2$

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