From: Albert_Rich@msn.com   
      
   On Sunday, January 21, 2018 at 10:05:01 PM UTC-10, clicl...@freenet.de wrote:   
      
   > Thank you for analyzing this. To me it makes no sense to have Rubi   
   > equipped with a rule for INT(x/((4 - x^3)*SQRT(1 - x^3)), x) but no    
   > rule for the very similar INT(x/((x^3 + 8)*SQRT(x^3 - 1)), x). This   
   > should be remedied, while Rubi's handling of the third and fourth   
   > integrals need not be changed in my view.   
   >    
   > Martin.   
      
   As I recall, I derived Rubi 4.14.4 rule 482 by generalizing a specific example   
   of a Goursat pseudo-elliptic integral for which you had provided the   
   elementary antiderivative.  If you provide me the elementary antiderivative of   
   x/((x^3+9)*sqrt(x^3-1)) wrt    
   x, I will try to generalize it to make a rule analogous to 482.   
      
   Albert   
      
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