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) = 900t^2/(t^3 + 32) + 5 (0 ≤ t ≤ 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 6 years of production, assuming that the projection holds true. (Round your answer to the nearest thousand barrels.)