I have a problem, I need to integrate a function over a cylindrical region.
$$\int_{-z}^{z}\int_{0}^{2\pi }\int_{0}^{r}f(r,\theta,z)rdrd\theta dz$$
For this used a cylindrical coordinate system. However, this cylinder can be moved to any location i.e. it is not always at the centre of the coordinate system. For example, what if the centre of the cylinder is at: $$r=2,z=0$$ Can anyone help me in determining the integration limits for such a case?