oldk1331@gmail.com wrote:   
   >   
   > After fixing this "division by zero" bug, your first integral seems to   
   > loop indefinitely.  I think there is no symbolic result for   
   > "integrate((1 + x)/((1 + x + x^2)*(a + b*x^3)^(1/3)), x)".   
   > When a,b are integers, FriCAS can give symbolic results.   
      
   Actually, computation of algebraic integrals in FriCAS may   
   be quite slow and require a lot of memory -- I can not say   
   how much but in all slow cases that I looked at there were   
   indication of forward progress.   
      
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