Oil storage tank starts leakage at time .
Rate at which the oil leaks from the tank is liters/min.
Find the amount of the oil that leaks from the tank during the first hour.
\Limits of the integral are and
min.
Consider the amount of the oil that leaks from the tank during the first hour as .
.
Consider .
Differentiate on each side with respect to .
Change of integral limits:
\If , then
.
If , then
.
Substitute ,
and change of limits in the integral.
Amount of the oil that leaks from the tank during the first hour is lt.
Amount of the oil that leaks from the tank during the first hour is lt.