
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 $y$.