DLMF:10.20.E3 (Q3252)

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DLMF:10.20.E3
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    2 3 ⁢ ( - ζ ) 3 2 = ∫ 1 z t 2 - 1 t ⁢ d t = z 2 - 1 - arcsec ⁡ z , 2 3 superscript 𝜁 3 2 superscript subscript 1 𝑧 superscript 𝑡 2 1 𝑡 𝑡 superscript 𝑧 2 1 𝑧 {\displaystyle{\displaystyle\frac{2}{3}(-\zeta)^{\frac{3}{2}}=\int_{1}^{z}% \frac{\sqrt{t^{2}-1}}{t}\mathrm{d}t=\sqrt{z^{2}-1}-\operatorname{arcsec}z,}}
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    DLMF:10.20.E3
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