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

    First fundamental theorem of calculus modules

    Overview

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

    • Define accumulation functions.
    • Calculate and evaluate accumulation functions.
    • State the First Fundamental Theorem of Calculus.
    • Take derivatives of accumulation functions using the First Fundamental Theorem of Calculus.
    • Use accumulation functions to find information about the original function.
    • Understand the relationship between the function and the derivative of its accumulation function.

    What's in a calculus problem?

    Ximera Module

    Two young mathematicians discuss what calculus is all about.

    The First Fundamental Theorem of Calculus

    Ximera Module

    The rate that accumulated area under a curve grows is described identically by that curve.