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Estimate the total number of aids cases diagnosed in

Question: AIDS IN MASSACHUSETTS The rate of growth (and decline) of the number of AIDS cases diagnosed in Massachusetts from the beginning of 1989 (t = 0) through the end of 1997 (t = 8) is approximated by the function

Where f(t) is measured in the number of cases/year. Estimate the total number of AIDS cases diagnosed in Massachusetts from the beginning of 1989 through the end of 1997.

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