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How To Use The Trapezoidal Rule To Approximate Area (Calculus Lesson 40)

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In this lesson we learn how to use the trapezoidal rule to approximate the area under the curve of a function. The trapezoidal rule differs from Riemann sums because it approximates the area using trapezoids rather than rectangles. We discuss how the trapezoidal rule yields a more accurate approximation of the area under the curve than Riemann sums and compare the approximation to the actual area under the curve using a definite integral.

This course is designed to help students understand the concepts of calculus at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with each lesson under 20 minutes!

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 the Trapezoidal Rule?
1:54 Where the Trapezoidal Rule Comes From
8:32 The Trapezoidal Rule Formula
9:05 Example - f(x) = 64-x^2 from 0 to 8, n=4
14:08 Comparison to Actual Area


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