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1. Simplification

2. Basic substitution method

3. Completing the square

• quadratic func can't factorise
  • 2v+1c
    • 2v

4. Trigo identities

5. Improper fraction

• degree nume ≥ degree deno
• long division

6. Separating fractions

• fractions separated
  • simpler integrand

7. Multiply by form of 1

• conjugation

8. Eliminate square root

• trigo in square root
  • trigo func simplified to squared trigo

9. integration by parts

• ILATE
  • ∫u dv
• Tabular integration
  • ∫u dv
    • differentiate u until =0
• Special Tabular integration
  • ∫u dv
    • differentiate u until get initial func

10. ∫ of Rational func by partial fractions

• a. non- repeated linear factors
• heaviside cover up
• b. repeated linear factors
• c. irreducible quadratic factors
• d. improper fraction
• e. transcedental func