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

轉載自savemyexams