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

Education Standards (1)

Definite integrals modules

Overview

After completing this section, students should be able to do the following.

  • Use integral notation for both antiderivatives and definite integrals.
  • Compute definite integrals using geometry.
  • Compute definite integrals using the properties of integrals.
  • Justify the properties of definite integrals using algebra or geometry.
  • Understand how Riemann sums are used to find exact area.
  • Define net area.
  • Approximate net area.
  • Split the area under a curve into several pieces to aid with calculations.
  • Use symmetry to calculate definite integrals.
  • Explain geometrically why symmetry of a function simplifies calculation of some definite integrals.

Computing areas

Ximera Module

Two young mathematicians discuss cutting up areas.

The definite integral