In this module you will extend the ideas from Module 18 to find areas bounded by curves that are both above and below the x-axis and you will construct the general shape of a net-area function's graph. You will use TI-83 features to illustrate and find both positive and negative integrals and to find the area between two curves. You will also use definite integrals to find the arc length of a section of a curve.

Lesson Index:

19.1 - Net Area

19.2 - Total Area and The Area Between Two Curves

19.3 - Arc Length

After completing this module, you should be able to do the following:

• Find the "net" area bounded by a curve and the x-axis
• Approximate the net-area function's graph given the curve's graph
• Find the total area bounded by a curve and the x-axis
• Find the area bounded by two curves
• Find the arc length of a curve