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

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Paul

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OCR Maths A: PureCambridge (CIE) Maths: Pure 3AQA Maths: PureEdexcel Maths: Pure

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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

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    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.