Hi(adsbygoogle = window.adsbygoogle || []).push({});

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 ?

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Mathematica problem involving integral

**Physics Forums | Science Articles, Homework Help, Discussion**