Let $\vec F = 12 x e^{y}\,\vec i + 6 x^2 e^{y}\,\vec j$ and $\vec G = 12(x - y)\,\vec i + 6(x + y)\,\vec j$. Let $C$ be the path consisting of lines from $(0,0)$ to $(4,0)$ to $(4,3)$ to $(0,0)$. Find each of the following integrals exactly:

(a) $\int_{C}\vec F\cdot d\vec r =$

(b) $\int_{C}\vec G\cdot d\vec r =$