Working with substitution modules
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!
Two young mathematicians discuss how tricky integrals are puzzles.
Working with substitution
We explore more difficult problems involving substitution.
The Work-Energy Theorem
Substitution is given a physical meaning.