What do you mean by "integral bounds?" My understanding of the term is the boundary values on a definite integral, as in the and in:
However, that doesn't really make sense in terms of the given function because the integral bounds could be anything for a polynomial function. It would depend on the constraints of the problem, which is to say there is no way to tell what they are simply looking at the function. Furthermore, since this is a polynomial equation rather than a function definition, it makes even less sense.
Now if you are talking about the possible rational zeros of the equation, which, in the case of any polynomial equation with a lead coefficient of 1, must be integers if they exist, then that is a different story. But I can't find anything that refers to rational zeros as "integral bounds."