A thin rod occupies the interval 0≤x≤5 cm along the x-axis and has linear mass density ρ(x)=3+2x g/cm. Write a definite integral that represents the total mass of the rod by interpreting a Riemann sum of the form ∑ρ(xi∗)Δxi as the mass of small pieces, and state the exact value of that integral with appropriate units.