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Interpreting definite integrals in context

AP.CALC: CHA‑4 (EU), CHA‑4.D (LO), CHA‑4.D.1 (EK), CHA‑4.D.2 (EK), CHA‑4.E (LO), CHA‑4.E.1 (EK)

Problem

The population of a town grows at a rate of r, left parenthesis, t, right parenthesis people per year (where t is time in years). At t, equals, 3, the town's population was 1000 people.
What does 1000, plus, integral, start subscript, 3, end subscript, start superscript, 8, end superscript, r, left parenthesis, t, right parenthesis, d, t, equals, 1500 mean?
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