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 Follow & Support StudySession: Channel Memberships: https://www.youtube.com/channel/UCaFHlSOg83nCUIHlFMlUhPw/join Email Us: StudySessionBusiness@gmail.com Twitter: https://twitter.com/StudySessionYT Instagram: https://instagram.com/StudySessionyt/ 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

What is a function and why are they important in math? Functions help us in understanding patterns and trends for sets of data. Therefore, functions have applications in just about everything you can imagine; working 20 hours a week and want to know how much more you're going to make? Well there is a function to give you that answer. This timeline is meant to help you understand how what a function means in mathematics: 0:00 Introduction. 0:05 Function definition. 0:55 Graphing ordered-pairs. 1:18 Ways of representing functions (f of x vs y). 1:58 Determine which is a function examples. 2:53 Outro Follow StudySession on Social Media: https://studysession.ca Email Us: Studysessionbusiness@gmail.com https://teespring.com/stores/studysession https://twitter.com/StudySessionYT https://www.instagram.com/studysessionyt/ This video is part of our Precalculus playlist. Precalculus is typically taught in the 10th grade, however, sometime later. Precalculus courses typically cover algebra and trigonometry. The purpose of taking a Precalculus course is to prepare students with many mathematic fundamentals for future calculus courses. #studysession #precalculus #math ... https://www.youtube.com/watch?v=qeb9EwxcI50