Calculus : Integration by Substitution is a review and how-to guide to help students solve problems involving integrals that can be solved using u-Substitution. Includes a handout that discusses concepts informally along with solved examples, with 20 homework problems for the student. A separate handout includes solutions to all the homework problems.
This handout and homework problems are designed for use with AP Calculus BC and College level Calculus 2.
Using an informal tone, this handout is meant to supplement the students ordinary textbook. Concepts are discussed in an easy going fashion with the focus on how to solve problems. Problems are solved in explicit detail. The purpose of the handout is to show students how to solve problems and grasp calculus concepts in an informal fashion. It can be used to supplement the textbook and for tutorial sessions or for self-learning by the student.
Topics covered include:
- Review of the power rule for integration
- Review of other basic types of integrals
- Review of integration of trig functions (optional)
- Overview of the substitution technique
- 4 solved examples to illustrate how to apply the substitution technique
- 20 homework problems
Complete solutions to the homework problems are provided in a separate handout.