Author:
Ohio Open Ed Collaborative
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

    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.