Integration Strategies

Integration Strategies

1. 1st Step

   • Simpilify the integrand or equation
     • Addition Formula
     • Reciprocal IDentities
     • Pythagorean Identities
     • Quotient Identities
     • Half Angle Identities
     • Double Angle Formula

2. 2nd Step

   • Simple Substituition

3. 3rd Step

   • Identify the integral
     • Integration by Parts
       • If polynomial times a trigonometry function, exponential or logarithm
     • Integration by Partial Fraction
       • If rational expression (polynomial divided by a polynomial
     • Integration by Substituition
       • If product of sines and cosines, secant and tangent, or cosecants and cotangent
     • Integration by Completing the Square and Factorization
       • Have quadratic
     • • Use Trigonometry Substituition if it involves roots below
       • Use Substituition if it does not involve roots listed below

4. 4th Step

   • Relate Integral to a Known Integral

5. 5th Step

   • Check whether this technique is needed for the integral
   • Place the integral in a form that can be use for another technique

6. 6th Step

   • Try again from the start
     • Use a technique is not used in the first time around

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