11 STRATEGIES

11 STRATEGIES

1. Basic Substitution

   • Use U, differentiate to get du, then integrate

2. Completing the Square

   • Basic Substitution is not working
   • Have quadratic function at denominator
     • 1) Function have 2 variable + 1 constant
     • 2) Function in square root
   • To get 1 variable & 1 constant

3. Separating Fractions

   • Fractions can be separated
   • Denominator have more than 1 variable

4. Improper Fraction

   • Used when degree (power of x) of numerator more than at denominator
   • Polynomials use long division method

5. Multiplying By A Form of 1

   • Used to multiply the integrand by some term divided by itself

6. Eliminating Square Root

   • Used when have trigo function in square root
   • Used when trigo function can be simplified using trigo identities to a squared trigo function

7. Trigo Identities

Images and files in the map