Find the amount of oil that the field can be expected to

Question

Question: OIL PRODUCTION Based on 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) = (600t²/(t³ + 32)) + 5   (0 ≤ t ≤ 20)

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