On Thu, 10 Jul 2008, David Philp wrote:

> Multiple solutions are different to assumptions in Mathematica.
>
> Solve[x^2 == 1, x] returns a two unconditional solutions.  (x -> 1, x-
>
>  > -1 are both solutions).
>
> Integrate[x^a, {x, 1, Infinity}] returns an answer that incorporates
> assumptions:
> If[Re[a] < -1, -(1/(1 + a)), Integrate[x^a, {x, 1, ∞}, Assumptions ->
> Re[a] >= -1]]
>
> If you want me to unpack that or have a more instructive example, just
> ask.
>
Forgot about that kind of case in Solve, but I was mainly thinking of
Integrate. Been some time since I have touched Mathematica :)

Francois




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