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

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trapezoidal rule

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

Figure 3.15 The trapezoidal rule tends to be less accurate than the midpoint rule.

From Textbooks ● Mar. 30, 2016

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

From Textbooks ● Mar. 30, 2016

Use the trapezoidal rule with four subdivisions to estimate ∫ 4x2 dx.

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