# 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.

# Midterm 3 Review

## Ximera Module

Review questions for MIDTERM 3.