Which of the following would be an appropriate set-up to evaluate \(\iiint_R x \, dV\) where \(R\) is the region enclosed by the planes \(x=0\), \(y=0\), and \(z=2\), and the surface \(z=x^2+y^2\) and lying in the Quadrant \(x \ge 0\), \(y \ge 0\)?
A. \(\int_0^{\sqrt{2}} \int_0^{\sqrt{2-x^2}} \int_{x^2+y^2}^2 x \, dz \, dy \, dx\)
B. \(\int_{\sqrt{2}}^2 \int_0^{\sqrt{2-x^2}} \int_0^{x^2+y^2} x \, dx \, dy \, dz\)
C. \(\int_0^{\sqrt{2}} \int_0^{\sqrt{2-x^2}} \int_{x^2+y^2}^{\sqrt{2}} x \, dy \, dx \, dz\)
D. \(\int_0^2 \int_0^{\sqrt{2-x^2}} \int_0^2 x \, dz \, dy \, dx\)
E. \(\int_0^2 \int_0^{\sqrt{2-x^2}} \int_0^{x^2+y^2} x \, dx \, dz \, dy\)
