Wikidata facts
- Subclass of
- Newton–Cotes formula
- Named after
- Bonaventura Cavalieri
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- Commons category
- Simpson's rule
- maintained by WikiProject
- WikiProject Mathematics
Sources (1)
via Wikidata · CC0
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Encyclopedic overview
Simpson's rule can be derived by approximating the integrand f (x) (in blue) by the quadratic interpolant P(x) (in red).
An animation showing how Simpson's rule approximates the function with a parabola and the reduction in error with decreased step size An animation showing how Simpson's rule approximation improves with more subdivisions.
Excerpted from Wikipedia’s “Simpson's rule” article, available under the CC BY-SA 4.0 licence.