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

  • Compute derivatives of common functions.
  • Compute antiderivatives of common functions.
  • Understand the relationship between derivatives and antiderivatives.
  • Use algebra to manipulate the integrand.
  • Evaluate indefinite and definite integrals through a change of variables.
  • Evaluate integrals that require complicated substitutions.
  • Recognize common patterns in substitutions.