DLMF:1.5.E35 (Q160)

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DLMF:1.5.E35
No description defined

    Statements

    Defining formula
    ∫ a b ∫ ϕ 1 ⁢ ( x ) ϕ 2 ⁢ ( x ) f ⁢ ( x , y ) ⁢ d y ⁢ d x = ∫ c d ∫ ψ 1 ⁢ ( y ) ψ 2 ⁢ ( y ) f ⁢ ( x , y ) ⁢ d x ⁢ d y . subscript superscript 𝑏 𝑎 subscript superscript subscript italic-ϕ 2 𝑥 subscript italic-ϕ 1 𝑥 𝑓 𝑥 𝑦 𝑦 𝑥 subscript superscript 𝑑 𝑐 subscript superscript subscript 𝜓 2 𝑦 subscript 𝜓 1 𝑦 𝑓 𝑥 𝑦 𝑥 𝑦 {\displaystyle{\displaystyle\int^{b}_{a}\int^{\phi_{2}(x)}_{\phi_{1}(x)}f(x,y)% \mathrm{d}y\mathrm{d}x=\int^{d}_{c}\int^{\psi_{2}(y)}_{\psi_{1}(y)}f(x,y)% \mathrm{d}x\mathrm{d}y.}}
    0 references
    DLMF id
    DLMF:1.5.E35
    0 references
    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1ahdec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3afdec
    0 references
     
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