Integration Technique

1. Simplification
2. Basic substitution method
3. Completing the square
1. quadratic func can't factorise
  1. 2v+1c
    1. 2v
4. Trigo identities
5. Improper fraction
1. degree nume ≥ degree deno
2. long division
6. Separating fractions
1. fractions separated
  1. simpler integrand
7. Multiply by form of 1
1. conjugation
8. Eliminate square root
1. trigo in square root
  1. trigo func simplified to squared trigo
9. integration by parts
1. ILATE
  1. ∫u dv
2. Tabular integration
  1. ∫u dv
    1. differentiate u until =0
3. Special Tabular integration
  1. ∫u dv
    1. differentiate u until get initial func
10. ∫ of Rational func by partial fractions
1. a. non- repeated linear factors
2. heaviside cover up
3. b. repeated linear factors
4. c. irreducible quadratic factors
5. d. improper fraction
6. e. transcedental func
11. Trigonometric Integrals
2. products of sines and cosines
3. 1. Method is to subs t=tan x
12. Trigo substitution
13. Improper Integral
1. type 1
2. type 2

Resource summary

	Created by jevetha97 over 9 years ago