DLMF:4.26.E17 (Q1833)

From DRMF
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:4.26.E17
No description defined

    Statements

    Defining formula
    ∫ arccsc ⁡ x ⁢ d x = x ⁢ arccsc ⁡ x + ln ⁡ ( x + ( x 2 - 1 ) 1 / 2 ) , 𝑥 𝑥 𝑥 𝑥 𝑥 superscript superscript 𝑥 2 1 1 2 {\displaystyle{\displaystyle\int\operatorname{arccsc}x\mathrm{d}x=x% \operatorname{arccsc}x+\ln\left(x+(x^{2}-1)^{1/2}\right),}}
    0 references
    DLMF id
    DLMF:4.26.E17
    0 references
    constraint
    1 < x < ∞ 1 𝑥 {\displaystyle{\displaystyle 1<x<\infty}}
    0 references
    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1apdec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3apdec
    0 references
    arccosecant function
    Defining formula
    arccsc ⁡ z 𝑧 {\displaystyle{\displaystyle\operatorname{arccsc}\NVar{z}}}
    xml-id
    C4.S23.E7.m2adec
    0 references
    principal branch of logarithm function
    Defining formula
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2addec
    0 references
    Q11218
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C4.S1.XMD6.m1kdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q1833&oldid=27755"