 In general, the probability of a set for a given continuous random variable can be calculated by integrating the density over the given set.More formally, given any interval formula_71, a random variable formula_72 is called a "continuous uniform random variable" (CURV) if the probability that it takes a value in a subinterval depends only on the length of the subinterval.This implies that the probability of formula_73 falling in any subinterval formula_74 is proportional to the length of the subinterval, that is, if , one has

formula_75

where the last equality results from the unitarity axiom of probability.