4. The Trapezium Rule & Integration

4.01 Estimating the Area Under a Curve using Rectangles

4.02 Estimating the Area Under a Curve using Trapeziums

4.03 Introducing the Trapezium Rule

4.04 Calculating an Area using the Trapezium Rule

4.05 The Trapezium Rule: Overestimate or Underestimate?

4.06 Introducing Integration

4.07 Examples of Integrating dy/dx

4.08 An Example of Finding the Constant of Integration

4.09 Introducing Integration Notation

4.10 Examples of Indefinite Integrals

4.11 Finding the Exact Area between a Line and the x-axis using Integration

4.12 Finding the Exact Area between a Curve and the x-axis using Integration

4.13 A Definite Integral Example

4.14 A Problem with Finding Areas using Integration

4.15 Integration: Finding an Area Below the x-axis

4.16 Integration: A More Complicated Example 1

4.17 Integration: A More Complicated Example 2

4.18 Integration: A More Complicated Example 3

4.19 Integration: A More Complicated Example 4