Write out the following integral using different orders in Cartesian coordinates:
\( \int_0^1 \int_0^{x^2} \int_0^y f(x, y, z) \, dz \, dy \, dx \)
a.) If the differentials read $dz \, dx \, dy$
b.) If the differentials read $dy \, dz \, dx$
c.) If the differentials read $dx \, dy \, dz.$