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Suppose that represents the cost per day to heat a given house measured in dollars, where is measured in days and corresponds to January 1, 2016. Interpret the expressions below:
 and .

The second expression divides the first integral by . What does represent? Why divide?
What practical information will it calculate about the cost of heat?

The first integral represents the area under the curve between and .
Since represents cost per day, its a rate function.
The area under this rate function represents the accumulated cost during the days of January.