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单词 Trapezoidal approximation
释义

Trapezoidal approximation

英语百科

Trapezoidal rule

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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