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