trapezoidal rule

American  

noun

Mathematics.

1. a numerical method for evaluating the area between a curve and an axis by approximating the area with the areas of trapezoids.

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Example Sentences

For the following exercises, approximate the integrals using the midpoint rule, trapezoidal rule, and Simpson’s rule using four subintervals, rounding to three decimals.

From Textbooks • Mar. 30, 2016

The most commonly used techniques for numerical integration are the midpoint rule, trapezoidal rule, and Simpson’s rule.

From Textbooks • Mar. 30, 2016

The midpoint rule approximates the definite integral using rectangular regions whereas the trapezoidal rule approximates the definite integral using trapezoidal approximations.

From Textbooks • Mar. 30, 2016

With the trapezoidal rule, we approximated the curve by using piecewise linear functions.

From Textbooks • Mar. 30, 2016

This leads us to hypothesize that, in general, the midpoint rule tends to be more accurate than the trapezoidal rule.

From Textbooks • Mar. 30, 2016