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Home > CALC > Chapter 6 > Lesson 6.4.1 > Problem 6-127

6-127.

Suppose that represents the cost per day to heat your house measured in dollars per day, where is time measured in days and corresponds to January 1, 2000. 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.