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单词 Trapezoid method
释义

Trapezoid method

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梯形公式 Trapezoidal rule

(重定向自Trapezoid method)
梯形公式的示意图(长度相同的区间)。
梯形公式的示意图(长度不相同的区间)

在数学里,梯形公式是用作估算定积分

 \int_{a}^{b} f(x)\,dx.

梯形公式会把函数图像f(x)当作成梯形并估算它的面积。以下就是估算所用的公式

 \int_{a}^{b} f(x)\, dx \approx (b-a)\frac{f(a) + f(b)}{2}.
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Trapezoidal rule 梯形公式

(重定向自Trapezoid method)
The function f(x) (in blue) is approximated by a linear function (in red).
An animation showing how the trapezoidal rule approximation improves with more strips.
Illustration of trapezoidal rule used on a sequence of samples (in this case, a non-uniform grid).

In mathematics, and more specifically in numerical analysis, the trapezoidal rule (also known as the trapezoid rule or trapezium rule) is a technique for approximating the definite integral

The trapezoidal rule works by approximating the region under the graph of the function f(x) as a trapezoid and calculating its area. It follows that

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更新时间:2025/6/22 13:07:15