# Working with substitution modules

## Overview

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

- Determine when a function is a composition of two or more functions.
- Calculate indefinite and definite integrals requiring complicated substitutions.
- Recognize common patterns in substitutions.
- Evaluate indefinite and definite integrals through a change of variables.

# Integrals are puzzles!

## Ximera Module

Two young mathematicians discuss how tricky integrals are puzzles.

# Working with substitution

## Ximera Module

We explore more difficult problems involving substitution.

# The Work-Energy Theorem

## Ximera Module

Substitution is given a physical meaning.