Integration
Section overview:
The PowerPoint below provides an overview of material in this topic, including explanations and examples - for the full experience, open in a new tab then download it. All exercise references are to the new specification Pearson textbook - you can access the digital version for free or buy your own for extra practice.Â
Written summary notes are also given below for quick revision of key points, plus a selection of exam-style questions (with solutions) to test your understanding.
P2-Chp11-Integration.pptx
Explore further:
Integration is essential in all of the sciences, such as in deriving equations for magnetic flux in physics.
Fluency and skills
Integration fluency and skills worksheet - Solutions
(You should complete the relevant sections of this worksheet in between lessons.)
Summary questions:
Quick integration 1: Finding areas
Quick integration 2: Substitution and reverse chain rule
Quick integration 3: Further techniques for integration
Quick integration 4: Integration by parts
Quick integration 5: Differential equations
Extra resources:
Use the videos below to support your understanding of the topic. The ones on the left are specific to the course, building up to demos of exam-style questions; the ones on the right are for your own amusement, although the alternative outlook may provide you with a deeper overall understanding and appreciation of the topic.
In particular, 'The Essence of Calculus' video series is dotted throughout the relevant topic pages in A-level Maths and Further Maths, or you can find the full playlist here. These videos demonstrate a deeper cut of some of the most important ideas within A-level, so they are well worth a watch!
Playlist - Integration [Includes Y12 content]
Extra fun!
You may also like to check out The Essence of Calculus integration videos in Y12: Integration to remind yourself of some of the fundamentals before getting lost in all the new rules!