INTEGRATION STRATEGY

Multiplying by Form of 1
1. Plus/Minus at the Denominator (CONJUGATED)
2. Simplify expression that can be Integrated
Completing the Square
1. Quadratic at Denominator (INVERSE TRIGONOMETRIC)
Eliminating Square Root
1. Trigonometric Identities
  1. Addition Formula
  2. Pythagorean Formula
2. Squaring inside --> LOSE SQUARE ROOT
Improper Fraction
1. Long-Division
Separating Fraction
1. Add/Minus at Numerator
Partial Fraction Method
1. Linear Factor
  1. x have power
  2. Can factorise
2. Repeated Linear Factor
  1. Bracket have power
3. Irreducible Quadratic Factors
  1. x have power
  2. Cannot Factorise
Product
1. Integration by Parts
  1. 1. u --> easy to Differentiate dv/dx --> easy to Integrate
2. Tabular Integration
Improper Integral
1. Type I
2. Type II
Trigonometric Identities
1. Pythagorean
2. Addition
3. Double-Angle
4. Half-Angle
Trigonometric Integrals
1. Half-Angle
  1. Power of sin/cos > one
2. Reduction Formula
3. 1. ODD Number (Separate)
  2. EVEN Number (Half-Angle Formula)
4. 1. Addition Formula
5. 1. tan x = t
6. 1. tan x/2 = t
Trigonometric Substitutions

Resource summary

	Created by ilovemuhammad97 about 8 years ago