DLMF:1.4.E30 (Q109): Difference between revisions

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imported>Admin
 
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Property / Symbols used
 
Property / Symbols used: Q10770 / rank
 
Normal rank
Property / Symbols used: Q10770 / qualifier
 
test:

d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
 
xml-id: C1.S4.SS4.m1andec
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.m3andec
Property / Symbols used
 
Property / Symbols used: Q10774 / rank
 
Normal rank
Property / Symbols used: Q10774 / qualifier
 
test:

ϕ ( x ) italic-ϕ 𝑥 {\displaystyle{\displaystyle\phi(x)}}

\phi(x)
Property / Symbols used: Q10774 / qualifier
 
xml-id: C1.S4.XMD7.m1bdec

Latest revision as of 14:51, 1 January 2020

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DLMF:1.4.E30
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    Statements

    a b f ( x ) ϕ ( x ) d x = f ( a ) a c ϕ ( x ) d x + f ( b ) c b ϕ ( x ) d x . subscript superscript 𝑏 𝑎 𝑓 𝑥 italic-ϕ 𝑥 𝑥 𝑓 𝑎 subscript superscript 𝑐 𝑎 italic-ϕ 𝑥 𝑥 𝑓 𝑏 subscript superscript 𝑏 𝑐 italic-ϕ 𝑥 𝑥 {\displaystyle{\displaystyle\int^{b}_{a}f(x)\phi(x)\mathrm{d}x=f(a)\int^{c}_{a% }\phi(x)\mathrm{d}x+f(b)\int^{b}_{c}\phi(x)\mathrm{d}x.}}
    0 references
    0 references
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1andec
    0 references
    {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3andec
    0 references
    ϕ ( x ) italic-ϕ 𝑥 {\displaystyle{\displaystyle\phi(x)}}
    C1.S4.XMD7.m1bdec
    0 references