How to calculate the integral $int_0^infty rm dk, k^d-1 frac1exp(beta(E_k+mu))+1$?

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How to calculate the integral $int_0^infty rm dk, k^d-1 frac1exp(beta(E_k+mu))+1$? Here $E_k=sqrta*k^2-b^2$, 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.




integration definite-integrals




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    What's $beta$ ?
    – user 108128
    Jul 30 at 11:09










  • Also a real constant.
    – J.W Kang
    Jul 30 at 13:15














up vote
0
down vote

favorite
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How to calculate the integral $int_0^infty rm dk, k^d-1 frac1exp(beta(E_k+mu))+1$? Here $E_k=sqrta*k^2-b^2$, 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.




integration definite-integrals




share|cite|improve this question















  • 1




    What's $beta$ ?
    – user 108128
    Jul 30 at 11:09










  • Also a real constant.
    – J.W Kang
    Jul 30 at 13:15












up vote
0
down vote

favorite
1









up vote
0
down vote

favorite
1






1





How to calculate the integral $int_0^infty rm dk, k^d-1 frac1exp(beta(E_k+mu))+1$? Here $E_k=sqrta*k^2-b^2$, 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.




integration definite-integrals




share|cite|improve this question











How to calculate the integral $int_0^infty rm dk, k^d-1 frac1exp(beta(E_k+mu))+1$? Here $E_k=sqrta*k^2-b^2$, 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.





integration definite-integrals





share|cite|improve this question










share|cite|improve this question




share|cite|improve this question









asked Jul 30 at 11:02









J.W Kang

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  • 1




    What's $beta$ ?
    – user 108128
    Jul 30 at 11:09










  • Also a real constant.
    – J.W Kang
    Jul 30 at 13:15












  • 1




    What's $beta$ ?
    – user 108128
    Jul 30 at 11:09










  • Also a real constant.
    – J.W Kang
    Jul 30 at 13:15







1




1




What's $beta$ ?
– user 108128
Jul 30 at 11:09




What's $beta$ ?
– user 108128
Jul 30 at 11:09












Also a real constant.
– J.W Kang
Jul 30 at 13:15




Also a real constant.
– J.W Kang
Jul 30 at 13:15















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