Subject:
Calculus
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Tags:
Cac077, Calculus, First Fundamental Theorem of Calculus
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.