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 (1)

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.