1_Integration Strategy

1_Integration Strategy

1. 1) Simplification

   • Algebraic Techniques
   • Trigonometric Function

2. 2) Substituion

   • Let u = g(x)
     • g(x) is easy to diffrentiate

3. 3) Identifying the Integrals

   • Rational Function
     • Use Partial Fraction
   • Integration by Parts
     • ∫u dv = uv- ∫v du
   • Completing Square
     • No substituion
     • Quadratic function at denominator
   • Trigonometric Substitution
   • Separating Fractions
   • Eliminate Square Root
     • Trigonometric function in square root + Can be simplified
   • Trigonometric Identities
     • Summation of Two Terms Power
     • Different angle
   • Improper Fraction
     • Degree numerator ≥ Degree denominator
       • Use Long Division
   • Multiplying by a Form of 1
     • Term Divided by Itself

4. 4) Multiple Techniques

   • Rationalizing Denominator
   • Use Trigonometric Identities
   • Substitution

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