A demographer sets up a grid to describe location within a suburb of a major metropolitan area. In relation to this grid, the population density at each point (x, y) is given by f(x, y) = 1 + 3y² hundred people per square mile, where x and y are in miles. A housing project occupies the region R bounded by the curve y² = 4 − x and the y axis (x = 0). What is the total population within the project region R?