DLMF:19.14.E4 (Q6309)

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DLMF:19.14.E4
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    test
    ∫ y x d t ( a 1 + b 1 ⁢ t 2 ) ⁢ ( a 2 + b 2 ⁢ t 2 ) = 1 γ - α ⁢ F ⁡ ( ϕ , k ) , superscript subscript 𝑦 𝑥 𝑡 subscript 𝑎 1 subscript 𝑏 1 superscript 𝑡 2 subscript 𝑎 2 subscript 𝑏 2 superscript 𝑡 2 1 𝛾 𝛼 elliptic-integral-first-kind-F italic-ϕ 𝑘 {\displaystyle{\displaystyle{\int_{y}^{x}\frac{\mathrm{d}t}{\sqrt{(a_{1}+b_{1}% t^{2})(a_{2}+b_{2}t^{2})}}=\frac{1}{\sqrt{\gamma-\alpha}}F\left(\phi,k\right)}% ,}}
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    DLMF id
    DLMF:19.14.E4
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