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.