In this video, we introduce the trapezium rule. We discuss its derivation, intuition and why it is useful for numerical integration.
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The trapezium rule
Integration for the area between 2 curves
Integration of curves below the x-axis
Indefinite vs definite integration
Simple trigonometric identities
Determining the nature of stationary points
Increasing and decreasing functions
Trig tables
sin, cos and tan - definitions and graphs
Infinite geometric series
Finite geometric series
Growth and decay problems