From: val.zapod.vz@gmail.com   
      
   Did you actually check? How much time do you need to solve it?   
      
   10 hours?   
      
   >I suspect you are asking simply too much of Mathematica here.   
      
   But it does try IntegrateAlgebraic, but fails...   
      
   Yep, the second is not a counterexample, not elementary   
   (page 301, they discuss how FriCAS helped them see it is   
   not elementary). Mathematica agrees and gives crazy result.   
      
   Okay.   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)