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Integration Decision Making (CIE A Level Maths: Pure 3)
Revision Note
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!
How do I know which integration method to use?
- 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
Key to diagram above:
(1) Powers of
(2) Substitution
(3) Obvious substitution
(4) Trig
(5) Algebraic Division
(6)
(7) Partial fractions
(8) Integration by Parts
(9) Reverse Chain Rule
Examiner Tip
- 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
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