DLMF:11.7#Ex4 (Q4007)

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DLMF:11.7#Ex4
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    Defining formula
    = 2 ⁢ a π ⁢ a 2 - 1 ⁢ arctan ⁡ ( 1 a 2 - 1 ) - 2 π ⁢ a . absent 2 𝑎 𝜋 superscript 𝑎 2 1 1 superscript 𝑎 2 1 2 𝜋 𝑎 {\displaystyle{\displaystyle=\frac{2a}{\pi\sqrt{a^{2}\!-\!1}}\operatorname{% arctan}\left(\frac{1}{\sqrt{a^{2}\!-\!1}}\right)-\frac{2}{\pi a}.}}
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    DLMF id
    DLMF:11.7#Ex4
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