In this first sub-topic of Chapter 7, basically matriculation students are exposed to an alternative numerical method to find the area under a certain graph. Normally we would use integration as the fastest and more accurate way of finding area under the graph.
Trapezium rule however, introduce an alternative where we actually break the area under the graph into several trapezium. Instead of integrating, we add all those trapezium areas together to sums up the equivalent area under the graph.
Remember the value gained does not necessarily be the same as trapezium rule actually gets the approximate area under the graph only. Interesting method nonetheless and the easier way for some functions that has difficult integrations.
This video will give you better step-by-step explanation.
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