Recently I tried to check a result of integration which should be a linear combination of the Riemann $\zeta\;$-function at varius arguments with integer coefficients, which were of primary interest. 

Unfortunately *Mathematica* have expanded all occurrences of $\zeta\;$-functions with even integer arguments. 

Is there a way to prevent it from doing that?

A sample code:

     Integrate[ Log[1-x]^5/x^5, {x, 0, 1}]