An oil tanker breaks apart and starts leaking. As time goes on, the rate at which the oil is leaking out will diminish. Suppose
that t hours after the tanker breaks apart, the oil is leaking out at a rate of R(t) million gallons per minute, where
0.6
1+ t²
Then the amount of oil that will leak out in the first 8 hours after the shipwreck (in millions of gallons) is
E
R(t):
=