The rate of change of the level of ozone, an invisible gas that is an irritant and impairs breathing, present in the atmosphere on a certain May day in a certain city is given by R(t) = 3.2922t^2 - 0.374t^3 (0 < t < 11)
(measured in pollutant standard index per hour). Here, t is measured in hours, with t = 0 corresponding to 7 A. M. Find the ozone level A(t) at any time t, assuming that at 7 A. M. it is zero.