Let $C \subseteq \mathbb{R}^2$ be the circle with radius $3$ centered at the origin. Let $F: \mathbb{R}^2\to\mathbb{R}^2$ be the vector field defined by $F(x,y)=(12 x,5)$. Find the flux of $F$ coming out of the circle through the curve $C$.
$\int_C F\cdot N =$