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DLMF:1.4.E28 - MaRDI portal

DLMF:1.4.E28 (Q78)

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DLMF:1.4.E28
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    Statements

    DLMF defining formula
    ∫ a b f ⁢ ( ϕ ⁢ ( x ) ) ⁢ ϕ ′ ⁢ ( x ) ⁢ d x = ∫ ϕ ⁢ ( a ) ϕ ⁢ ( b ) f ⁢ ( t ) ⁢ d t . subscript superscript 𝑏 𝑎 𝑓 italic-ϕ 𝑥 superscript italic-ϕ ′ 𝑥 𝑥 subscript superscript italic-ϕ 𝑏 italic-ϕ 𝑎 𝑓 𝑡 𝑡 {\displaystyle{\displaystyle\int^{b}_{a}f(\phi(x))\phi^{\prime}(x)\mathrm{d}x=% \int^{\phi(b)}_{\phi(a)}f(t)\mathrm{d}t.}}
    0 references
    Symbols used
    differential of x
    DLMF defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1aldec
    0 references
    integral
    DLMF defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3aldec
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    function
    DLMF defining formula
    ϕ ⁢ ( x ) italic-ϕ 𝑥 {\displaystyle{\displaystyle\phi(x)}}
    xml-id
    C1.S4.XMD7.m1dec
    0 references

    Identifiers

     
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