DLMF:10.20.E3 (Q3252): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10771 / rank
 
Normal rank
Property / Symbols used: Q10771 / qualifier
 
test:

∫ {\displaystyle{\displaystyle\int}}

\int
Property / Symbols used: Q10771 / qualifier
 
xml-id: C1.S4.SS4.m3aadec

Revision as of 15:37, 2 January 2020

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DLMF:10.20.E3
No description defined

    Statements

    test
    2 3 ⁢ ( - ζ ) 3 2 = ∫ 1 z t 2 - 1 t ⁢ d t = z 2 - 1 - arcsec ⁡ z , 2 3 superscript 𝜁 3 2 superscript subscript 1 𝑧 superscript 𝑡 2 1 𝑡 𝑡 superscript 𝑧 2 1 𝑧 {\displaystyle{\displaystyle\frac{2}{3}(-\zeta)^{\frac{3}{2}}=\int_{1}^{z}% \frac{\sqrt{t^{2}-1}}{t}\mathrm{d}t=\sqrt{z^{2}-1}-\operatorname{arcsec}z,}}
    0 references
    DLMF id
    DLMF:10.20.E3
    0 references
    constraint
    1 ≤ z < ∞ 1 𝑧 {\displaystyle{\displaystyle 1\leq z<\infty}}
    0 references
    Symbols used
    Q10770
    test
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1aadec
    0 references
    Q10771
    test
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3aadec
    0 references
     
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