(Solved): Use the equation giving the flux of the vector field across the curve to calculate the flux of F(x ...

Use the equation giving the flux of the vector field across the curve to calculate the flux of $\mathbf{F}(x,y)=?e^y,8x?1?$ across $\mathcal{C}$, the parabola $y=x^2$ for $0?x?6$, oriented left to right Hint: Let $\mathbf{r}(t)=?x?(t),y(t)?$,$?fora?t?b$, be a positively oriented parameterization of an oriented curve $\mathcal{C}$. Then for the vector $\mathbf{N}(t)=?y^{?}(t),?x^{?}(t)?$ the flux is ${?}_C(\mathbf{F}?\mathbf{n})ds={?}_a^b\mathbf{F}(\mathbf{r}(t))?\mathbf{N}(t)dt$ (Use symbolic notation and fractions where needed.) ${?}_C(\mathbf{F}$