Middle Riemann Sum Example | Numerical Analysis

Published: 29 January 2024
on channel: StudySession
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Welcome to our comprehensive numerical methods tutorial on the Middle Riemann Sums Example. In this video, we'll walk through a complete Mid-point example in addition to finding the maximum error.

The problem explored in this video states: A) Given the function f(x) = 4x^2 + 2x - I over the interval of [2,6] approximate the definite integral using the Middle Riemann Sum with n=4 equal subintervals.
B) Find the maximum error of this Middle Riemann Sum problem.

This timeline is meant to help you better understand how to solve a Middle Riemann sum problem:
0:00 Introduction
0:48 Finding step-size for Riemann Sums.
1:30 Finding Right Riemann Sum Equation.
2:57 Maximum Error of Middle Riemann Sum approximation.
3:44 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..
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