DLMF:19.29.E28 (Q6665)

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DLMF:19.29.E28
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    Statements

    Defining formula
    ∫ y x d t t 3 - a 3 = 4 ⁢ R F ⁡ ( U , U - 3 ⁢ a + 2 ⁢ 3 ⁢ a , U - 3 ⁢ a - 2 ⁢ 3 ⁢ a ) , superscript subscript 𝑦 𝑥 𝑡 superscript 𝑡 3 superscript 𝑎 3 4 Carlson-integral-RF 𝑈 𝑈 3 𝑎 2 3 𝑎 𝑈 3 𝑎 2 3 𝑎 {\displaystyle{\displaystyle\int_{y}^{x}\frac{\mathrm{d}t}{\sqrt{t^{3}-a^{3}}}% =4R_{F}\left(U,U-3a+2\sqrt{3}a,U-3a-2\sqrt{3}a\right),}}
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    DLMF id
    DLMF:19.29.E28
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