Suppose a 90°C cup of tea is left to cool for an hour in a room with an ambient temperature of 25°C. According to Newton's Law of Cooling, the temperature of the tea after t minutes is given by the formula T(t) = 25 + 65e^kt, where k is a positive constant that depends on the composition of the mug and whatever is in the mug. Set up an integral that will give you the average temperature of the tea during the first hour. You don't have to evaluate the integral.