Author:
Ohio Open Ed Collaborative
Subject:
Calculus
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Tags:
Cac077, Definite Integrals
Language:
English
Media Formats:
eBook, Interactive

# 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

## Ximera Module

Definite integrals compute net area.