The Fundamental Theorem of Calculus

Question

Annual sales (in millions of units) of a certain brand of tablet computers are expected to grow in accordance with the function

f(t) = 0.18t² + 0.16t + 2.64  (0 ≤ t ≤ 8)

Per year, where t is measured in years, with t = 0 corresponding to 1997. How many tablet computers will be sold over the 8 year period between the beginning of 1997 and the end of 2004? (Round your answer to two decimal places.)

?= million units

Answer 1

You take the definite integral of f(t) from 0 to 8 and you get 56.96 as your answer. (When you take the integral of the function, f(t) = 0.18t² + 0.16t + 2.64 , use the power rule.)