Author:
Jim Fowler
Subject:
Calculus
Material Type:
Module
Level:
Community College / Lower Division, College / Upper Division
Provider:
Ohio Open Ed Collaborative
Tags:
  • Calculus
  • Substitution
  • Working With Substitution
  • License:
    Creative Commons Attribution Non-Commercial
    Language:
    English
    Media Formats:
    eBook, Interactive

    Education Standards

    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