Solve Integral Problem: \int^{\frac{2\pi}{a}}_{0} dx dy dz

[Petar Mali]

Homework Statement

I need to calculate integral
$$\int^{\frac{2\pi}{a}}_{0}\int^{\frac{2\pi}{a}}_{0} \int^{\frac{2\pi}{a}}_{0}\frac{1}{\sqrt{1-\frac{(cosxa+cosya+cosza)^2}{9}}}ctgh(\frac{6SJ\sq rt{1-\frac{(cosxa+cosya+cosza)^2}{9}}}{2T})dxdydz$$

$$a,S,J$$ are constants different then 0 .

Homework Equations

The Attempt at a Solution

$$N[\int^{\frac{2\pi}{a}}_{0}\int^{\frac{2\pi}{a}}_{0}\int^{\frac{2\pi}{a}}_{0}\frac{Coth[\frac{6SJ\sqrt{1-\frac{(Cos[x a]+Cos[y a]+Cos[z a])^2}{9}}}{2T}]}{\sqrt{1-\frac{(Cos[x a]+Cos[y a]+Cos[z a])^2}{9}}}dxdydz]$$

I try also to define a>0 but Mathematica don't give a result. Where is a problem? How can I dodefine this? Thanks for your answer.

 

[Petar Mali]

I try but don't succeed!