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Numerical Integration

This resource from Brigham Young University delves into the concept of numerical integration, focusing specifically on the Trapezoidal Rule. It explains how to approximate the definite integral of a function, f(x), over a closed interval from X1 to X2. The Trapezoidal Rule calculates the area under the curve by summing the areas of trapezoids formed by evaluating the function at the endpoints, f(xi) and f(xi+1). This method provides a straightforward and effective numerical approach to solving integral problems in calculus.

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Numerical Integration

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  1. CE EN 270 – BRIGHAM YOUNG UNIVERSITY Numerical Integration

  2. Y f(x) X X1 X2

  3. Trapezoidal Rule Y f(x) X X1 X2

  4. f(xi+1) f(xi) Xi Xi+1

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