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4385261
Integration Technique
Description
Mind Map on Integration Technique, created by jevetha97 on 28/01/2016.
Mind Map by
jevetha97
, updated more than 1 year ago
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Created by
jevetha97
over 8 years ago
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Resource summary
Integration Technique
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
11. Trigonometric Integrals
products of sines and cosines
Method is to subs t=tan x
12. Trigo substitution
13. Improper Integral
type 1
type 2
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