Note: I Like to introduce the stages of integration in a slightly different order to the textbook. Feel free to jump around in your own order.
Prior Content: AS Integration
Previous Section: Numerical Methods
Next Section: 3D Vectors
Contents
- Whole Topic Notes
- 11A Standard Integrals
- 11B Basic Reverse Chain Rule Integrals
- 11D Reverse Chain Rule – Spotting Derivatives in Products or Fractions
- 11C Using Trigonometric Identities
- 11G Integration by Partial Fractions
- 11F Integration by Parts
- 11E Integration by Substitution
- 11H Part 1 Integrating Parametric Equations
- 11H Part 2 Integrating to Find Areas
- 11I The Trapezium Rule
- 11L Integration as the Limit of a Sum
- 11J Separating the Variables
- 11K Modelling with Integration
- 11Z Deciding on Your Approach
- Whole Topic Summary Resources (Including Past Paper Questions)
Whole Topic Notes
Download Full Topic Slides
- Textbook Notes as PPTs (Courtesy of Owen134866)
Full Notes to Accompany Slides
Dr Frost
- Dr Frost Integration Section
- Dr Frost Integration Slides
- Blank Notes to Follow Slides Word Doc or PDF (Courtesy of King’s Chester Maths Department)
Acute Learning Whole Chapter Problem Pairs
11A Standard Integrals
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 917 Integrate Standard Functions (No Chain Rule).
Integration Key Skills Section (for selecting more than one)
Other resources
Other Videos
Courtesy of Maths Genie (1)
Courtesy of Maths Genie (2)
11B Basic Reverse Chain Rule Integrals
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 918 Integrate Standard Functions in the Form f(ax+b).
Integration Key Skills Section (for selecting more than one)
Other resources
Other Videos
Courtesy of Maths Genie
11D Reverse Chain Rule – Spotting Derivatives in Products or Fractions
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Topic Tests
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 919 Integrate Expressions in the Form ∫xa(bxc+d)edx by Inspection.
Integration Key Skills Section (for selecting more than one)
Further Practice
Other resources
11C Using Trigonometric Identities
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Bicen Maths Live Lesson
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Extra Questions
- Dr Frost Questions (Short)
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- K407b Integrate sin2x or cos2x.
Integration Key Skills Section (for selecting more than one)
Other resources
Other Videos
Courtesy of Maths Genie (1)
Courtesy of Maths Genie (2)
11G Integration by Partial Fractions
Link to Algebraic Fractions Section (Currently Under Construction)
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Topic Tests
Extra Questions
Key Skills
- No Key Skills Yet
Further Practice
Other resources
Other Videos
Courtesy of Maths Genie
11F Integration by Parts
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Topic Tests
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 951 Find an Integral Using Integration by Parts.
- 952 Find an Integral Using Integration by Parts Twice.
- Combination of All
Integration Key Skills Section (for selecting more than one)
Further Practice
Other resources
Other Videos
Courtesy of Maths Genie
11E Integration by Substitution
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Topic Tests
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 950 Find an Integral Using a Given Substitution into xn.
Integration Key Skills Section (for selecting more than one)
Further Practice
Other resources
Other Videos
Courtesy of Maths Genie (1)
Courtesy of Maths Genie (2)
11H Part 1 Integrating Parametric Equations
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Download Blank Notes
*note some examples from notes come from old course textbook and are not covered in the video
Download Slides
*note this was initially left out the textbook so the slides below are from the old course. These accompany the above notes handout (after Q1)
11H Slides (Courtesy of Owen134866)
Dr Frost resources
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Extra Questions
Key Skills
- No Key Skills Yet
Further Practice
Other resources
Other Videos
Courtesy of Maths Genie
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Activities
- Berwick Maths Diagnostic Questions (Only 1 Q)
Worksheets
- Solomon Integration G Questions and Solutions
- Maths Genie Integrating Parametric Equations Questions and Solutions
- Edited PMT Edexcel PPQs from C4 Set Integration – Area with MS at end
- Madas Maths 68 Exam Questions
- Some extra questions are also in the old P3 textbooks, but contain volumes of revolutions as a part b, which should be ignored.
11H Part 2 Integrating to Find Areas
Textbook resources
Note there is no new content here really, but just practising the skills we have covered to date and applying it to areas
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Bicen Maths Live Lesson
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Key Skills
- No Key Skills Yet
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Activities
Worksheets
Past Paper Questions
11I The Trapezium Rule
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Bicen Maths Live Lesson
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Extra Questions
Key Skills
- No Key Skills Yet
Other resources
Other Videos
Courtesy of Maths Genie
11L Integration as the Limit of a Sum
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Bicen Maths Live Lesson
Download Blank Notes
Word Doc
(Courtesy of King’s Chester Maths Department)
Download Slides
- Dr Frost Slides 50-55
Extra Questions
- Dr Frost Questions
Key Skills
- No Key Skills Yet
Other resources
Other Videos
11J Separating the Variables
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Topic Tests
Extra Questions
Key Skills
- No Key Skills Yet
Other resources
Other Videos
Courtesy of Maths Genie
11K Modelling with Integration
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Topic Tests
Extra Questions
Key Skills
- No Key Skills Yet
Further Practice
Other resources
Other Videos
Courtesy of Maths Genie
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Activities
- Berwick Maths Diagnostic Questions
- Tom Bennison Card Sort
- CHar293 Matching Activity (TES Account Required)
Worksheets
- Solomon Integration L Questions and Solutions
- Maths Genie Integrating Questions and Solutions (Q1-2)
- Jethwa Maths Worksheet (p17-21)
Past Paper Questions
- PMT
- OCR
- OCR MEI
11Z Deciding on Your Approach
Textbook resources
Courtesy of Haberdashers’ Adams Maths Dept.
No Textbook Resources
This is not a section in the textbook (unless you include the mixed exercise), but is worth spending time on. The videos are a mass collection of questions. Try to think about what method is required for each before having a go at the question. Note there are no separating the variables questions in these particular videos.
Dr Frost resources
Bicen Maths Live Lesson
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Extra Questions
- Dr Frost Questions Select Integration in KS5 and Go
Key Skills
- No Key Skills Yet
Other resources
Flowcharts & Mixed Questions
and Accompanying Flowchart:
Activities
Whole Topic Summary Resources (Including Past Paper Questions)
Download PPQs as WW Powerpoint for A2 Integration
Whole Topic Videos
External Whole Topic Past Paper Style Questions
- Jethwa Maths Worksheet, Topic Tests and Starter Activity
- Dr Frost Topic Test (Teacher Login Required)
- PMT