So I don't know if this helps but I think this is a fairly standard way of expressing a probability density function of multiple variables, I should probably have made that more clear, see https://en.wikipedia.org/wiki/Probability_density_function, under multiple variables.
Homework Statement
So I have an issue evaluating the integral for a joint probability distribution given by:
Pr(R) = \displaystyle \int_{0}^{r_{max}}\int_0^{2\pi}\int_0^{\pi}\sin\theta \delta(R-r\sin\theta)d\theta d\phi dr
where I know the relationship between r and R is given by...