Integration in Extension 2
Completing the Square
Example 1
Example 1 Video
Example 2
Example 2 Video
Example 3
Example 3 Video
Example 4
Example 4 Video
Exercise 4.1
Exercise 4.1 Recorded Solutions
The Reverse Chain Rule and U Substitutions
Example 1
Example 1 Video
Example 2
Example 2 Video
Example 3
Example 3 Video
Example 4
Example 4 Video
Example 5
Example 5 Video
Exercise 4.2
Exercise 4.2 Recorded Solutions
Splitting the Numerator
Example 1
Example 1 Video
Example 2
Example 2 Video
Example 3
Example 3 Video
Splitting the Numerator (Part II)
Example 4
Example 4 Video
Partial Fractions by Inspection
Example 5
Example 5 Video
Example 6
Example 6 Video
Exercise 4.3
Exercise 4.3 Recorded Solutions
Partial Fractions (Equating Coefficients)
Example 1
Example 1 Video
Partial Fractions (Elimination by Substitution)
Example 2
Example 2 Video
Notes on Substitution Method
Partial Fractions (Cover Up Method)
Example 3
Example 3 Video
Partial Fractions (Cover Up Method II)
Example 4
Example 4 Video
Partial Fractions (Cover Up Method III)
Example 5
Example 5 Video
Exercise 4.4
Exercise 4.4 Recorded Solutions
Simplifying Integrands
Example 1
Example 1 Video
Example 2
Example 2 Video
Example 3
Example 3 Video
Simplifying Integrands (Part II)
Example 4
Example 4 Video
Exercise 4.5
Exercise 4.5 Recorded Solutions
Powers of Sine and Cosine
Example 1
Example 1 Video
Powers of Tangent and Secant
Example 2
Example 2 Video
Example 3
Example 3 Video
Example 4
Example 4 Video
Powers of Cotangent and Cosecant
Product to Sum Identities
Example 5
Example 5 Video
Exercise 4.6
Exercise 4.6 Recorded Solutions
Integrating with t-formulae
Example 1
Example 1 Video
Trig Substitutions
Example 2
Example 2 Video
Exercise 4.7
Exercise 4.7 Recorded Solutions
Integration by Parts (inc DETAIL)
Example 1
Example 1 Video
Example 2
Example 2 Video
Integration by Parts (Reverse Chain Rule)
Example 3
Example 3 Video
Exercise 4.8
Exercise 4.8 Recorded Solutions
Recurrence Relationships
Example 1
Example 1 Video
Example 2
Example 2 Video
Example 3
Example 3 Video
Exercise 4.9
Exercise 4.9 Recorded Solutions
Definite Integrals
Example 1
Example 1 Video
Example 2
Example 2 Video
Example 3
Example 3 Video
Example 4
Example 4 Video
Exercise 4.10
Exercise 4.10 Recorded Solutions
Steve Howard