Areas between curves

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After completing this section, students should be able to do the following.

Apply the procedure of “Slice, Approximate, Integrate” to derive a formula for the area bounded by given curves.
Understand the difference between net and total area.
Find the area bounded by several curves.
Set up an integral or sum of integrals with respect to $x$ that gives the area bounded by several curves.
Set up an integral or sum of integrals with respect to $y$ that gives the area bounded by several curves.
Decide whether to integrate with respect to $x$ or $y$ .