DLMF:18.15#Ex7 (Q5715)

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DLMF:18.15#Ex7
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    ΞΆ = - ( 3 4 ⁒ ( arccos ⁑ ( x ) - x - x 2 ) ) 2 3 , 𝜁 superscript 3 4 π‘₯ π‘₯ superscript π‘₯ 2 2 3 {\displaystyle{\displaystyle\zeta=-\left(\tfrac{3}{4}\left(\operatorname{% arccos}\left(\sqrt{x}\right)-\sqrt{x-x^{2}}\right)\right)^{\frac{2}{3}},}}
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    0 ≀ x ≀ 1 0 π‘₯ 1 {\displaystyle{\displaystyle 0\leq x\leq 1}}
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