Electric potential generated by an hemispherical charge distribution

[popbatman]

I need the electric potential generate by an hemuspherical constant charge density along the axis normal to the plane surface of the distribution an passing for the center of the hemisphere.

In practice i have to solve the integral:

∫1/|x-x'| d^3x' over the volume occupied by the distribution.

how to do?

 

[Simon Bridge]

Welcome to PF;
Cut the hemisphere into circular slices - work out the field due to each slice. Helps to use polar coordinates.