College Calculus
posted by Anonymous .
Odzala National Park in the Congo has a high density of gorillas. Suppose that the radial population density is p(r)=52(1+r^2)^2 gorillas per square kilometer, where r is the distance from a large grassy clearing with a source of food and water. Calculate the number of gorillas within a 5km radius of the clearing.

50 pi gorillas