📚 Simpsons Rule - Approximate Integration 📚
📚 Approximating Definite Integrals Using Simpson’s Rule – Step-by-Step Example 📚
In this video, I demonstrate how to use Simpson’s Rule to approximate a definite integral. The process is similar to approximating with trapezoids, but here we use parabolic segments instead of rectangles. While the approximating formula changes slightly, it’s straightforward once you recognize the pattern, particularly the alternating coefficients of 4 and 2 for the "middle" terms.
🚀 What’s covered:
A full, detailed example of using Simpson’s Rule to approximate the integral of 1 / (1 + x^5) from 0 to 3.
Explanation of the formula and how Simpson’s Rule improves accuracy by utilizing parabolas.
Discussion of the pattern of middle coefficients (4 and 2) and how they fit into the approximation formula.
🔢 In this example, we use n = 6 to demonstrate how the rule applies to this integral and explain how to compute the approximation step by step. Whether you’re learning numerical methods or preparing for calculus exams, this video provides a clear guide to mastering Simpson’s Rule.
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Watch video 📚 Simpsons Rule - Approximate Integration 📚 online without registration, duration hours minute second in high quality. This video was added by user patrickJMT 24 March 2009, don't forget to share it with your friends and acquaintances, it has been viewed on our site 898,215 once and liked it 4.8 thousand people.