I was wondering what the electric field of a uniformly charged spherical cap is? Thereby I am referring to a spherical shell that was sliced into two pieces and we are only looking at one part of it. So in spherical coordinates it would mean that you would have a shell with radius $R$, it contains a full revolution of $2\pi$, but the polar angle does not go from $0$ to $\pi$ but rather from $0$ to some $\theta \in (0,\pi)$. And now I am looking for an equation that gives me the electric field for a given charge $Q$ on the shell.
It would be sufficient if somebody could give me the integral, that I have to evaluate!