Answer
$$6\pi+112$$
Work Step by Step
We know that $$ div F=\dfrac{\partial P}{\partial x}i+\dfrac{\partial Q}{\partial y}j $$
From the given equation, we have $$ Flux =\iiint_{o} 12x+12y+2 \space dz \space dy \space dx \\=\nabla \cdot F \\=\int_{0}^{3}\int_{0}^{\pi/2}\int_{0}^{2} (12r \cos \theta+2r \sin \theta +2) \space dr \space d\theta dz \\=\int_{0}^{3}(32+2\pi+\dfrac{16}{3}) \space dz \\=6\pi+112$$
