Oil leaks out of a tanker at a rate of r=f(t) liters per minute, where t is in minutes. If f(t)=Ae^(−kt), write a definite integral expressing the total quantity of oil which leaks out of the tanker in the first hour.

The definite integral expressing the total quantity of oil, 'V', which leaks out of the tanker in the first hour is given as follows;

Step-by-step explanation:

From the question, we have;

The rate at which oil leaks out of the tanker, r = f(t)

The unit of the oil leak = Liters per minute

The unit of t = Minutes

Therefore, we have;

The definite integral expressing the total quantity, 'V', of oil which leaks out of the tanker in the first hour is given as follows;

Therefore, we have;