The annual per capita share of U.S. total expenditures for heath care (in dollars per year) for selected years from 2002 and projected to
2024 can be modeled by

H(t) = 5330 e^0.0442t

where t is the number of years after 2000. Assuming that the model remains valid, evaluate ∫²⁵₁₅ H(t) dt and tell what it represents.