How To Use Simpson’s Rule To Approximate Area (Calculus Lesson 41)
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In this lesson we learn how to use Simpson’s rule to approximate the area under the curve of a function. Simpson’s rule approximates the area using second-degree polynomials rather than first-degree polynomials like the trapezoidal rule uses. We discuss how as a result of this, Simpson’s rule yields a more accurate approximation of the area under the curve than any of the previous methods we have looked at and compare the approximation to the actual area under the curve using a definite integral.
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Calculus requires a solid understanding of precalculus and algebra concepts and techniques including factoring, equation manipulation, trigonometric equations, logarithms, finding slope, graphing, and many more. If you are not familiar with these prerequisite topics, be sure to learn them first!
Video Chapters:
0:00 What is Simpson’s Rule?
2:08 The Formula
4:08 Example of Using Simpson’s Rule
10:00 Comparing to Definite Integral
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