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The passage around this formula

Write the normalized accelerated spectrum in terms of the dimensionless ratio u $\equiv$ c$\Omega$/a , using the exact Bose-Einstein shape derived above. Carrying out the normalization integral, $\int_0^\infty$ $\Omega$\,($e^{2\pi c\Omega/a}$-1)^{-1}\,d$\Omega$ = $a^2$/(24$c^2$) , using the standard result $\int_0^\infty$ x($e^x$-1)^{-1}dx=$\pi^2$/6 , gives the scale-family form

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