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We know that in Debye theory,

[tex]C_v=9kN\left(\frac{T}{\theta}\right)^3 \int_0^{\theta/T} \frac{x^4 e^x}{(e^x-1)^2}\;dx[/tex]

is the heat capacity of the solid. I want to plot [itex]C_v/3Nk[/itex] as a function of [itex]T/ \theta[/itex] from 0.001 to 1.4 using mathematica. The hint says to use NIntegrate. Now should I first create a vector of values of [itex]T/ \theta[/itex] from 0.001 to 1.4 using "Table" ? Then maybe I can feed this vector to NIntegrate which could be placed inside another "Table"

statement.

any help ?

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# Mathematica problem involving integral

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