Integration Techniques and Strategies

Start with a strategy

The mind map called Integration Strategy includes trigonometric functions and their integrals. It is a useful place to start if you want to look at examples before considering how to choose a technique. Another map with the same title focuses on what to do when an integral cannot be handled directly, including manipulation and substitution.

Look at each map’s content when choosing between them. You can use the examples in the trigonometric map alongside the approaches in the other map.

Explore techniques

Move on to Techniques of Integration for a map covering basic substitution, completing the square and trigonometric identities. The Integration Strategies mind map shows a substitution approach: identify a function to use as u, differentiate it, and substitute into the original question.

For another view, Integration Game Plan includes substitution and tactics for indefinite and definite integrals. Comparing maps can help you see how their creators organize the approaches.

Use flashcards with maps

The Mathematics-C4 flashcards include trigonometric integrals and examples. After looking at a mind map, use the cards to practice recognizing the ideas you have seen. You can return to a map when you want to check how an approach is presented.

This page has no quizzes, so flashcards provide another way to practice alongside the maps. Notes and flowcharts are also listed if you prefer to study in a different format.

Place the topic in the unit

Integration Techniques and Strategies is a section of the Integration unit in Mathematics. Use this page to explore the listed approaches, then return to the unit when you are ready to continue studying Integration.

Try a set of flashcards alongside a mind map, or build your own study resources.