Simpson’s 1/3 Rule Example | Numerical Methods
In this video, we're diving into the world of calculus by using Simpson's 1/3 Rule to solve the definite integral of the polynomial function 2x^3 - 2x^2 - 3x + 3 from -1 to 1.
Understanding how to apply numerical methods like Simpson's 1/3 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 1/3 Rule is a numerical technique that approximates definite integrals by dividing the range into equally spaced intervals and using quadratic approximations within those segments. It's a powerful method for approximating integrals when analytical solutions aren't readily available.
Follow along as we explain the formula and demonstrate how to apply Simpson's 1/3 Rule to find the area under the curve of the polynomial function from x = -1 to x = 1. We'll illustrate the calculations and show you how to obtain an accurate estimation of the definite integral.
This timeline is meant to help you better understand how to solve a Simpson’s 1/3 rule problem:
0:00 Introduction
0:12 Recall Simpson's 1/3 Rule Theory
0:43 Approximating a definite integral with Simpson's 1/3 Rule
4:01 Outro
Relevant Numerical Methods Playlists:
Numerical Methods Playlist: • Numerical vs Analytical Methods | Num...
Numerical Methods Examples Playlist: • Jacobi Iteration Method Example | Num...
Follow & Support StudySession:
Channel Memberships: / @studysessionyt
Email Us: [email protected]
Twitter: / studysessionyt
Instagram: / 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 #simpsonsrule
Watch video Simpson’s 1/3 Rule Example | Numerical Methods online without registration, duration hours minute second in high quality. This video was added by user StudySession 27 December 2023, don't forget to share it with your friends and acquaintances, it has been viewed on our site 6,307 once and liked it 117 people.