From: Albert_Rich@msn.com   
      
   On Tuesday, October 22, 2019 at 10:22:57 AM UTC-10, clicl...@freenet.de wrote:   
   > Alarum!   
   >   
   > FriCAS 1.3.5 determines the algebraic integral:   
   >   
   >   integrate((3*x + 2)/((9*x^2 + 52*x - 12)*(3*x^2 + 4)^(1/3)), x)   
   >   
   > to be non-elementary, even though it just equals:   
   >   
   >   SUBST(INT(3/(t^3 + 196), t), t, (3*x - 10)/(3*x^2 + 4)^(1/3))   
   >   
   > Martin.   
      
   I added this problem to Rubi's integration test-suite.   
      
   Short of Risch, is there an algorithm a rule-based integrator could use to   
   determine this substitution?   
      
   Albert   
      
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