1. anyone who believes that sqrt(x^2) is |x| is mistaken. As Bill Page
> says, there are two values.
>
Ah, the old 'function versus expression' debate. I really missed that.
> 2. any system that automatically produces |x| can be tricked into
> committing serious errors.
> Currently, Maxima apparently does this.
>
But not in Sage's Maxima, because
(%i1) sqrt(x^2);
(%o1) abs(x)
(%i2) domain:complex;
(%o2) complex
(%i3) sqrt(x^2);
2
(%o3) sqrt(x )
> Some people consider this a feature. Clearly we
> have a difference of opinion about sqrt. Mathematica leaves the
> expression unchanged.
> 3. I tried Maxima 5.23.2 on the integral and got log(-1) which is
> nonsense.
>
Try it again with domain:complex
> 4. Mathematica 9 answers ln(2).
>
>
>
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