Module 19 - Applications of Integration
 
  Introduction | Lesson 1 | Lesson 2 | Lesson 3 | Self-Test
 
 Introduction
 

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

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