> No more assumptions are required to integrate 
> <http://www.wolframalpha.com/input/?i=Integrate%5Bx%5E%28s+-+1%29%2F%28e%5Ex+%2B+1%29%2C+%7Bx%2C+0%2C+Infinity%7D%5D+>
> . 
>

More interestingly,

(%i1) assume(s>0);
(%o1)                               [s > 0]
(%i3) integrate(x^(s - 1)/(%e^x+1),x,0, inf);
Is s an integer?

yes;
                                 inf
                                /     s - 1
                                [    x
(%o3)                           I    ------- dx
                                ]      x
                                /    %e  + 1
                                 0
(%i4) integrate(x^(s - 1)/(%e^x+1),x,0, inf);
Is s an integer?

n;
                                 inf
                                /     s - 1
                                [    x
(%o4)                           I    ------- dx
                                ]      x
                                /    %e  + 1
                                 0
 

See https://sourceforge.net/p/maxima/bugs/2969/

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