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DLMF:1.4.E19 - MaRDI portal

DLMF:1.4.E19 (Q68)

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DLMF:1.4.E19
No description defined

    Statements

    DLMF defining formula
    ∫ a b ( c ⁢ f ⁢ ( x ) + d ⁢ g ⁢ ( x ) ) ⁢ d x = c ⁢ ∫ a b f ⁢ ( x ) ⁢ d x + d ⁢ ∫ a b g ⁢ ( x ) ⁢ d x , subscript superscript 𝑏 𝑎 𝑐 𝑓 𝑥 𝑑 𝑔 𝑥 𝑥 𝑐 subscript superscript 𝑏 𝑎 𝑓 𝑥 𝑥 𝑑 subscript superscript 𝑏 𝑎 𝑔 𝑥 𝑥 {\displaystyle{\displaystyle\int^{b}_{a}(cf(x)+dg(x))\mathrm{d}x=c\int^{b}_{a}% f(x)\mathrm{d}x+d\int^{b}_{a}g(x)\mathrm{d}x,}}
    0 references
    Symbols used
    differential of x
    DLMF defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1acdec
    0 references
    integral
    DLMF defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3acdec
    0 references

    Identifiers

     
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