Simpson’s 3/8 Rule Example | Numerical Methods

In this video, we're diving into the world of numerical integration by using Simpson's 3/8 Rule to approximate the definite integral xe^(x^-2) from 0.5 to 1.5.

Understanding how to apply numerical methods like Simpson's 3/8 Rule is crucial in solving integrals, especially when dealing with complex functions. We'll break down the step-by-step process to compute the definite integral of this polynomial within the given limits.

Simpson's 3/8 Rule is a numerical integration technique that approximates definite integrals by dividing the range into equally spaced intervals and using cubic approximations within those segments. It's a powerful method for approximating integrals when analytical solutions aren't readily available.

Simpson's 3/8 Rule Theory & Derivation: https://www.youtube.com/watch?v=VldXegup5d0

This timeline is meant to help you better understand how to solve a Simpson’s 3/8 rule example problem: 0:00 Introduction 0:15 Recall Simpson's 3/8 Rule Theory 0:27 Approximating a definite integral with Simpson's 3/8 Rule 2:57 Outro

Relevant Numerical Methods Playlists: Numerical Methods Playlist: https://www.youtube.com/watch?v=F2NWYEOHIkc&list=PLDea8VeK4MUTOBXLpvx_WKtVrMkojEh52 Numerical Methods Examples Playlist: https://www.youtube.com/watch?v=UA7bzwCwHMI&list=PLDea8VeK4MUTxZGOTG-VNnW4T3TYwlEc9

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This video is part of our Numerical Methods course. Numerical methods is about solving math problems through approximating the solution of problems that would be difficult or impossible to solve analytically. In this playlist we will cover topics such as solving systems of linear equations, solving systems of non-linear equations, numerical integration, numerical derivatives, etc.. #studysession #numericalmethods #numericalanalysis ... https://www.youtube.com/watch?v=qZxOuJaUcNI