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three-eighths rule |
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three-eighths rule [¦thrē ′āths ‚rül]
(mathematics) An approximation formula for definite integrals which states that the integral of a real-valued function ƒ on an interval [a,b] is approximated by (3/8)h[ƒ(a) + 3ƒ(a+h) + 3ƒ(a+ 2h) + ƒ(b)], whereh= (b-a)/3; this is the integral of a third-degree polynomial whose value equals that of ƒ ata,a+h,a+ 2h, andb. A method of approximating a definite integral over an interval which is equivalent to dividing the interval into equal subintervals and applying the formula in the first definition to each subinterval. Want to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit the webmaster's page for free fun content. |
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