Integration Strategy

Integration Strategy

1. 1. Memorise the formula

   • TRIGO & INVERSE
     • eg.
   • NATURAL LOG
   • HYPERBOLIC & INVERSE

2. 2. Simplify

   • TRIGO IDENTITIES
   • QUADRATIC
     • COMPLETING SQAURE
     • FACTORISE
   • SEPARATING FRACTION
   • POWER OF NUMEREATOR > DENOMINATOR
     • LONG DIVISION

3. 3. "U"-Substitution

   • DIFFERENTIATE & ELIMINATE

4. 4. Identify the integral

   • RATIONAL FN
     • PARTIAL FRACTION
       • REPEATED LINEAR FACTOR
       • NON-REPEATED LINEAR FACTOR
   • ILATE
     • INTEGRATION BY PARTS
       • TABULAR INTEGRATION
       • HIGHER POWER OF TRIGO
         • REDUCTION FROMULA
   • TRIGO SUBSTITUTION
   • 1+TRIGO
     • MULTIPLY BY FORM OF 1
   • TRIGO FN IN SQUARE ROOT
     • USE TRIGO IDENTITIES, **ABSOLUTE
   • TRIGO IN DENOMINATOR
     • t = TAN X
     • t = TAN x/2

5. 5. Multiple(maybe)

6. 6. Try again

Images and files in the map