Strategy for Integration

Strategy for Integration

1. Simplify

   • Algebraic Manipulation
   • Trigonometric Identities

2. Substitution Method

   • • Note: use substitution method instead of partial fraction

3. Classify

   • Trigonometric function
     • of sinx cox x tan x sec x csc x cot x
       • Use substitution method
   • Rational funtion
     • use partial fraction
   • Polynomial and Transcendental
     • Trigonometry Exponential Logarithm
       • Use integration by parts
   • Radicals
     • Rationalizing substitution
       • • Note: difference is the integrand have roots
     • Trigonometric substitution
   • Quadratic function
     • Use completing the square

4. Try Again

   • Try Substitution
   • Try Parts
   • Manipulate the Integrand
   • Relate the Problem to the Previous Problem
     • • Note: if it has been evaluated, it can be used in the next problem
   • Use Several Method

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