From: Albert_Rich@msn.com   
      
   On Wednesday, February 21, 2018 at 8:28:45 PM UTC-10, Albert Rich wrote:   
   > Thank you for further simplifying the antiderivative of x/((x^   
   +6*sqrt(3)+10)*sqrt(x^3+1)) and its cousins.   
   >   
   > Using that knowledge, I generalized two rules so Rubi 4.14.7 can now handle   
   integrands of the form x/((c+d*x^3)*sqrt(a+b*x^3)) when b^2*c^2-   
   0*a*b*c*d-8*a^2*d^2=0.   
   >   
   > Albert   
      
   If anyone is interested, the 5 rules for finding elementary antiderivatives of   
   pseudo-elliptic integrands of the form x/((c+d*x^3)*sqrt(a+b*x^3)) when   
   b*c-4*a*d=0, or b*c+8*a*d=0 or b^2*c^2-20*a*b*c*d-8*a^2*d^2=0 are available   
   for viewing at   
      
   http://www.apmaths.uwo.ca/~arich/PseudoEllipticIntegrals.pdf   
      
   Albert   
      
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