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}]

Recently I tried to check a result of integration which should be a linear combination of the Riemann $\zeta\;$-function at various arguments, the coefficients of the combination being 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}]

Recently I tried to check a result of integration which should be a linear combination of a Riemann $\zeta$-functions with integer coefficients, which were of primary interest. Unfortunately Mathematica have expanded all occurrences of $\zeta$-functions with even integer argument. Is there a way to prevent it from doing that?

A sample code:

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

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}]