DLMF:5.12.E7 (Q2152)

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DLMF:5.12.E7
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    0 cosh ( 2 b t ) ( cosh t ) 2 a d t = 4 a - 1 B ( a + b , a - b ) , superscript subscript 0 2 𝑏 𝑡 superscript 𝑡 2 𝑎 𝑡 superscript 4 𝑎 1 Euler-Beta 𝑎 𝑏 𝑎 𝑏 {\displaystyle{\displaystyle\int_{0}^{\infty}\frac{\cosh\left(2bt\right)}{(% \cosh t)^{2a}}\mathrm{d}t=4^{a-1}\mathrm{B}\left(a+b,a-b\right),}}
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