The U.S. Census Bureau gives an age distribution that is approximately modeled (in millions) by the function ƒ(x) = 38.5 + 5.66x - 1.10x² where x varies from 0 to 9 decades. The population of a given age group can be found by integrating this function over the interval for that age group.

(a) Find the integral of ƒ(x) over the interval 30, 94. What does this integral represent?
(b) Baby boomers are those born between 1945 and 1965, that is, those in the range of 5.5 to 7.5 decades in 2020. Estimate the number of baby boomers.