DLMF:1.4.E24 (Q103)

From DRMF
Revision as of 15:52, 30 December 2019 by Admin (talk | contribs) (‎Changed an Item: Wikidata Toolkit example test statement addition)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:1.4.E24
No description defined

    Statements

    Defining formula
    ⨍ a b f ⁢ ( x ) ⁢ d x = P ⁢ ∫ a b f ⁢ ( x ) ⁢ d x = lim ϵ → 0 + ⁡ ( ∫ a c - ϵ f ⁢ ( x ) ⁢ d x + ∫ c + ϵ b f ⁢ ( x ) ⁢ d x ) , subscript superscript principal-value-integral 𝑏 𝑎 𝑓 𝑥 𝑥 𝑃 subscript superscript 𝑏 𝑎 𝑓 𝑥 𝑥 subscript → italic-ϵ limit-from 0 subscript superscript 𝑐 italic-ϵ 𝑎 𝑓 𝑥 𝑥 subscript superscript 𝑏 𝑐 italic-ϵ 𝑓 𝑥 𝑥 {\displaystyle{\displaystyle\pvint^{b}_{a}f(x)\mathrm{d}x=P\int^{b}_{a}f(x)% \mathrm{d}x=\lim_{\epsilon\to 0+}\left(\int^{c-\epsilon}_{a}f(x)\mathrm{d}x+% \int^{b}_{c+\epsilon}f(x)\mathrm{d}x\right),}}
    0 references
    DLMF id
    DLMF:1.4.E24
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q103&oldid=16754"