I have the solution to this example, but I don't understand it. It's the third step that I don't understand.
"For a population of individuals, you are given:
i) Each individual has a constant force of mortality.
ii) The forces of mortality are uniformly distributed over the interval (0,2).
Calculate the probability that an individual drawn at random from this population dies within a year."
I don't understand the third step, where the integral is split. How is the f(u) function able to disappear and get replaced by 1/2. It's been a few months since I've done a multivariable probability problem...