Integration Techniques

What the resources cover

The mind maps on this page present several ways to approach an integral. Integration Strategy sets out a sequence that includes simplifying, substitution and identifying the integral. Strategy for Integration brings together approaches such as separating fractions, integration by parts and completing the square. The Integration Techniques mind map also lists double substitution, partial fractions and the tabular method.

Where to start

Start with Integration Strategy to see how a map can organize the choices involved. Then look at Solving Integration, which includes simplifying, identifying the integrand and finding u for substitution. Compare the steps in the maps and notice where each suggests trying a different approach. The note Integration by Parts offers another resource to look at when you want to focus on that named method.

Use maps and flashcards together

There are no quizzes on this page, but you can use a mind map alongside a flashcard deck. For example, read the substitution steps in Solving Integration, then open Trig Substitution to study the related flashcards. Return to the map to see where substitution fits in the wider strategy. You can also look at the deck titled 4U Trig Subs.

Place the topic in context

Integration Techniques is one section of the Limits and Introduction to Calculus unit in Mathematics. The maps here give you different ways to organize the techniques within this section, rather than a single fixed sequence. Comparing them can help you see how simplification, substitution and other named approaches appear together. Choose a map and follow its steps as you study.