Chapter 12
Solving Area Problems
IN THIS CHAPTER
Measuring area under two different functions
Understanding both types of improper integrals
Finding the unsigned area between curves
Calculating the mean value of a region
Using the Arclength formula
In this chapter, you use your knowledge of integration in a variety of applied problems. To begin, you measure the area of a region on the xy-graph bounded above by two different functions. Next, you discover how to distinguish the two types of improper integrals and calculate each using a limit.
After that, you use a simple formula for determining the unsigned area between a pair of functions. Next, you use the Mean Value formula to calculate the mean value of an integral on a given interval. To finish up, you measure the exact length along a curve using the Arclength formula.
Breaking Definite Integrals in Two
When a region on an xy-graph is bounded above by two different functions, you need to take special care to measure the area ...
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