A LevelMathsEdexcelPureRevision NotesIntegrationFurther IntegrationIntegration Decision Making

Integration Decision Making (Edexcel A Level Maths) : Revision Note

Paul

Author

Paul

Last updated

Edexcel Maths: PureCambridge (CIE) Maths: Pure 3OCR Maths A: PureAQA Maths: Pure

Did this video help you?

Decision Making

What is meant by integration and decision making?

  • The hardest part of integration is deciding which technique to use

  • There are lots of them!

Notes meth_mess, downloadable AS & A Level Maths revision notes

How do I know which integration method to use?

Notes int_2main, downloadable AS & A Level Maths revision notes

  • The main two requirements for success with integration are

    • Experience

    • Familiarity

  • Always check for Reverse Chain Rule …

    • … particularly after changing part of an integral …

    • … by using a trig identity for example

 

Notes int_flow, downloadable AS & A Level Maths revision notes

Key to diagram above:

(1) Powers of x   

(2) Substitution

(3) Obvious substitution   

(4) Trig

(5) Algebraic Division   

(6) fraction numerator straight f apostrophe left parenthesis x right parenthesis over denominator straight f left parenthesis x right parenthesis end fraction

(7) Partial fractions   

(8) Integration by Parts

(9) Reverse Chain Rule

Examiner Tips and Tricks

  • If in doubt, try something … You may gain marks for attempting a suitable substitution.

  • You may gain marks from using a trig identity.

  • You may gain marks from attempting to simplify or rewrite a fraction.

Worked Example

Example soln_a, downloadable AS & A Level Maths revision notes
Example soltn_b, downloadable AS & A Level Maths revision notes
Example soltn_c, downloadable AS & A Level Maths revision notes
👀 You've read 1 of your 5 free revision notes this week
An illustration of students holding their exam resultsUnlock more revision notes. It's free!

By signing up you agree to our Terms and Privacy Policy.

Already have an account? Log in

Test yourself

Did this page help you?

Previous:Area between 2 curvesNext:General Solutions
Paul

Author: Paul

Expertise: Maths Content Creator (Previous)

Paul has taught mathematics for 20 years and has been an examiner for Edexcel for over a decade. GCSE, A level, pure, mechanics, statistics, discrete – if it’s in a Maths exam, Paul will know about it. Paul is a passionate fan of clear and colourful notes with fascinating diagrams.

Download notes on Integration Decision Making