The birth rate of a population is
b(t) = 2300e0.024t
people per year and the death rate is
d(t)= 1450e0.018t
people per year, find the area between these curves for 0 ≤ t ≤ 10

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1. seems pretty straightforward. We have

∫[0,10] 2300e^(.024t)-1450e^(.018t) dt
= 10107.8

see

http://www.wolframalpha.com/input/?i=%E2%88%AB[0%2C10]+2300e^%28.024t%29-1450e^%28.018t%29+dt

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