How to calculate the integral $\int_0^\infty {\rm d}k\, k^{d-1} \frac{1}{\exp(\beta(E_k+\mu))+1}$? Here $E_k=\sqrt{a*k^2-b^2}$, and you can think $a, b, d, \mu$ is Real constant.

I don't now how to calculate it, and I use Wolfram Mathematica also can't get any useful information.

  • 1
    $\begingroup$ What's $\beta$ ? $\endgroup$ – Nosrati Jul 30 '18 at 11:09
  • $\begingroup$ Also a real constant. $\endgroup$ – J.W Kang Jul 30 '18 at 13:15

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