Consider the integral

${\displaystyle \underset{0}{\overset{6}{}}}{\displaystyle \underset{0}{\overset{\sqrt[\phantom{2}]{36-y^2}}{}}}{\displaystyle \underset{0}{\overset{\sqrt[\phantom{2}]{36-y^2-z^2}}{}}}f(x,y,z)dxdzdy$

This integral represents $an$ integration over the portion $of$ a sphere $of$ radius $6in$ the first octant.

Rewrite this integral with the order $of$ integration changed $todzdydx.$ Provide the bounds for the new integral below.

$axyx$ and $yas$ needed for the bounds.