Tips for Integration of One Variable Functions

Before integrating functions of many variables (using the ``one variable at a time'' technique) it's helpful to review integration of one variable functions.

• Integration Rules and Properties
  • Basic Properties of Integrals
  • Standard Rules of Integration
• Integration by Substitution
  • Basic Example
  • Some Hints for Choosing Substitutions
  • More Advanced Examples ( and exponentials)
• Trigonometric Substitution
  • Integrals of the Form
  • Integrals of the form
  • A Long, Complex Example
  • Other Trig Identities
• Integration by Parts
  • Evaluating and
  • Multiple Applications of Integration by Parts
  • A Strange Example
• Integrating Rational Functions
  • Completing the Square
  • Long Division
  • Partial Fraction Expansion
  • Factoring