An oil tanker ruptures at 12:00 AM and leaks oil at
the rate R(t) =[tex]\sqrt{t}[/tex] barrels of oil per minute where t is the
number of minutes past 12:00 AM. Specialized divers repair
the rupture in 20 minutes, completely stopping the leakage
at 12:20 AM. How many barrels of oil were leaked in total?