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

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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 #simpsonsrule ... https://www.youtube.com/watch?v=JjUn5waLJ-o