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

Education Standards (1)

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.