Question: Maple won't calculate intergrals included distributed products:

I can calculate:

and

 int(int(int(-(4-6*(x+z)+12*x*z)*y*(y-z)^3, x = 0 .. 1), y = 0 .. 1), z = 0 .. 1);

and

and

int(int(int(-(4-6*(x+z)+12*x*z)*z*(x-y)^3, x = 0 .. 1), y = 0 .. 1), z = 0 .. 1);

but not:

Why not?

Any help would be greatly appreciated.

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