Rod on Scale


High school students in a physics class are asked to measure the mass of a nonhomogeneous rod where the density varies along its length.
What is known:
 The density of the rod can be modeled as
ρ(x) = x^{2}  x + 3
where x is the length. The density function, ρ(x), has units of g/m.
 The length of the rod is 4 m.
