Chapter 6.5, Problem 46E

Oil PRODUCTION On the basis of a preliminary report by a geological survey team, it is estimated that a newly discovered oil field can be expected to produce oil at the rate of

$R(t)=\frac{600t^2}{t^3+32}+5(0\le t\le 20)$

thousand barrels/year, t years after production begins. Find the amount of oil that the field can be expected to yield during the first 5 years of production, assuming that the projection holds tine.