Integrating z = (A∂u/∂z)^(1/3) and z = (A∂u/∂z)^n

[dipset24]

Looking to find out how to integrate the following two:

z=(A$\partial$u/$\partial$z)^(1/3)

&

z=(A$\partial$u/$\partial$z)^(n)

Don't need the solution just need a reference or explicit statement of the integration rule.

 

[LCKurtz]

Looking to find out how to integrate the following two:

z=(A$\partial$u/$\partial$z)^(1/3)


Don't need the solution just need a reference or explicit statement of the integration rule.

Cube both sides and integrate it. Is u a function of variables other than z?