Subject:
Calculus
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Tags:
  • Areas Between Curves
  • Cac077
    License:
    Creative Commons Attribution Non-Commercial
    Language:
    English
    Media Formats:
    eBook, Interactive

    Education Standards

    Areas between curves module

    Overview

    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 xx that gives the area bounded by several curves.
    • Set up an integral or sum of integrals with respect to yy that gives the area bounded by several curves.
    • Decide whether to integrate with respect to xx or yy.

    Area between curves

    Ximera Module

    We introduce the procedure of ``Slice, Approximate, Integrate" and use it study the area of a region between two curves using the definite integral.