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

Education Standards (1)

Second fundamental theorem of calculus modules

Overview

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

  • State the Second Fundamental Theorem of Calculus.
  • Evaluate definite integrals using the Second Fundamental Theorem of Calculus.
  • Understand how the area under a curve is related to the antiderivative.
  • Understand the relationship between indefinite and definite integrals.

A secret of the definite integral

Ximera Module

Two young mathematicians discuss what calculus is all about.

The Second Fundamental Theorem of Calculus

Ximera Module

The accumulation of a rate is given by the change in the amount.

A tale of three integrals

Ximera Module

At this point we have three ``different'' integrals.