DLMF:19.28.E9 (Q6617)

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DLMF:19.28.E9
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    test
    ∫ 0 π / 2 R F ⁡ ( sin 2 ⁡ θ ⁢ cos 2 ⁡ ( x + y ) , sin 2 ⁡ θ ⁢ cos 2 ⁡ ( x - y ) , 1 ) ⁢ d θ = R F ⁡ ( 0 , cos 2 ⁡ x , 1 ) ⁢ R F ⁡ ( 0 , cos 2 ⁡ y , 1 ) , superscript subscript 0 𝜋 2 Carlson-integral-RF 2 𝜃 2 𝑥 𝑦 2 𝜃 2 𝑥 𝑦 1 𝜃 Carlson-integral-RF 0 2 𝑥 1 Carlson-integral-RF 0 2 𝑦 1 {\displaystyle{\displaystyle\int_{0}^{\pi/2}R_{F}\left({\sin^{2}}\theta{\cos^{% 2}}\left(x+y\right),{\sin^{2}}\theta{\cos^{2}}\left(x-y\right),1\right)\mathrm% {d}\theta=R_{F}\left(0,{\cos^{2}}x,1\right)R_{F}\left(0,{\cos^{2}}y,1\right),}}
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    DLMF:19.28.E9
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