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) = 800t^2/(t3 + 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 9 years of production, assuming that the projection holds true. (Round your answer to the nearest thousand barrels.)
2 answers
t^3
of course, that will be
∫[0,9] R(t) dt
Note that if u=t^3+32 then that is
∫(800/3) du/u + ∫5 dt
∫[0,9] R(t) dt
Note that if u=t^3+32 then that is
∫(800/3) du/u + ∫5 dt