Health services and supplies expenditures the per capita

Question

Health services and supplies expenditures the per capita expenditures for U.S. health services and supplies (in dollars per year) for selected years from 2000 and projected to 2018 can be modeled by

H(t) = 4676e^0.053t

where t is the number of years past 2000. Assuming the model remains valid, evaluate ₁₀∫²⁰Ht dt and tell what it represents.