QCE Together Year 12 Maths Methods: Estimating Area Under Curve

Maths Methods

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Estimating Area Under Curve

In this post, we examine the area problem, and use sums of the form \sum_{i} f(x_{i} \delta x_{i} , to estimate the area under the curve y = f(x) . This syllabus dot point is a part of the QCE Maths Methods course under the topic Integrals and sub-part Fundamental Theorem of Calculus and Definite Integrals, specifically focusing on estimating the area under curve.

 

Estimating area under a curve

Part 1: Using rectangles

 

Part 2: Using Riemann’s estimation

 

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