Chapter 14.5, Problem 2QCE

Let G be the solid in the first octant bounded below by the surface $z=y+x^2$ and bounded above by the plane $z=4.$ Supply the missing limits of integration.

$\begin{array}{l}\left(\text{a}\right){\displaystyle \underset{G}{\iiint }f\left(x,y,z\right)dA={\displaystyle {\int }_{\boxed{}}^{\boxed{}}{\displaystyle {\int }_{\boxed{}}^{\boxed{}}{\displaystyle {\int }_{y+x^2}^{4}f\left(x,y,z\right)dzdxdy}}}}\\ \left(\text{b}\right){\displaystyle \underset{G}{\iiint }f\left(x,y,z\right)dA=}{\displaystyle {\int }_{\boxed{}}^{\boxed{}}{\displaystyle {\int }_{\boxed{}}^{\boxed{}}{\displaystyle {\int }_{y+x^2}^{4}f\left(x,y,z\right)dzdydx}}}\\ \left(\text{c}\right){\displaystyle \underset{G}{\iiint }f\left(x,y,z\right)dA={\displaystyle {\int }_{\boxed{}}^{\boxed{}}{\displaystyle {\int }_{\boxed{}}^{\boxed{}}{\displaystyle {\int }_{\boxed{}}^{\boxed{}}f\left(x,y,z\right)}}}dydzdx}\end{array}$