After completing this section, students should be able to do the following.

  • Review differentiation.
  • Review integration.
  • Use algebra to manipulate the integrand.
  • 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.