- #1
seflyer
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The average particle energy of a Fermi-Dirac gas, with zero chemical potential, is about 3.15T, where T is the temperture of this gas. To get the average energy, one needs to do an integration. The integrand is something like
[itex]\frac{x^3}{e^{x/k_BT}+1}[/itex].
I could get the result numerically. But is there a way to do it analytically? Thanks.
[updated] Sorry. The expression is corrected now. So basically I would like to know whether the following can be integrated analytically:
[itex]\int_0^\infty \frac{x^3}{e^{x/k_BT}+1} dx [/itex]
[itex]\frac{x^3}{e^{x/k_BT}+1}[/itex].
I could get the result numerically. But is there a way to do it analytically? Thanks.
[updated] Sorry. The expression is corrected now. So basically I would like to know whether the following can be integrated analytically:
[itex]\int_0^\infty \frac{x^3}{e^{x/k_BT}+1} dx [/itex]
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