P2.8.3 - Trapezium rule for area approximation

Approximation of area under a For example, curve using the trapezium rule. use the trapezium rule to approximate ∫ (2x +1) dx using four strips.; Use of increasing number of trapezia to improve accuracy and an estimate of the error may be required.

Use trapezium rule for area approximation to connect the rule to the data and decision in the question.

This matters because trapezium rule for area approximation determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply trapezium rule for area approximation to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: Trapezium rule for area approximation is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.