Question

Oil is leaking out of a ruptured tanker at a rate of r(t) = 20e−0.02t thousand liters per minute. how many liters leak out during the first hour?

Answer 1

There are 60 minutes to an hour, so the amount of oil that leaks out is given by

$\displaystyle\int_0^{60}r(t)\,\mathrm dt\approx698.806\text{ L}$