1.  anyone who believes that sqrt(x^2)  is |x|  is mistaken. As Bill Page 
says, there are two values.
2. any system that automatically produces |x| can be tricked into 
committing  serious errors. 
   Currently, Maxima apparently does this. 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.
4. Mathematica  9 answers ln(2).


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