Write a definite integral that give total maintenance costs

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Maintenance costs for an apartment house generally increase as the building gets older. From past records, the rate of increase in maintenance costs (in dollars per year) for a particular apartment complex is given approximately by

M'(x) = f(x) = 90x2 + 5,000

where x is the age of the apartment complex in years and M(x) is the total (accumulated) cost of maintenance for x years. Write a definite integral that will give the total maintenance costs from the end of the second year to the end of the seventh year, and evaluate the integral.

Reference no: EM131269279

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