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.