Lesson Plan: Integration by Substitution: Indefinite Integrals Mathematics
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to use integration by substitution for indefinite integrals.
Students will be able to
- identify situations where a substitution can be used to simplify an integral,
- choose an appropriate substitution, , in order to solve an integral, where both and appear as factors of the integrand,
- apply a substitution to an indefinite integral in order to solve it and reverse the substitution to give answers in terms of the original variable.
Students should already be familiar with
- the chain rule,
- indefinite integrals.
Students will not cover
- definite integrals,
- integration by parts,
- inverse trigonometric functions,
- hyperbolic functions.