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   sci.math.symbolic      Symbolic algebra discussion      10,432 messages   

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   Message 10,019 of 10,432   
   antispam@math.uni.wroc.pl to samuel.thomas.blake@gmail.com   
   Re: An algebraic integral in FriCAS   
   09 Apr 20 23:07:33   
   
   samuel.thomas.blake@gmail.com wrote:   
   >   
   > Here's a couple of other error messages I found in 1.2.6 (on OSX).   
   >   
   > (428) -> integrate(((-1+2*x^4)*(32+7*x^2+64*x^4)*(8+35*x^4+32*   
   ^8)^(1/2))/(x^3*(20-x^2+79*x^4-2*x^6+80*x^8)),x)   
   >   
   > ? ?>> Error detected within library code:   
   > ? ?"failed" of mode Union(Integer,"failed") cannot be coerced to mode Integer   
      
   That was a silly typo.  Thanks for report, I have now commit a fix.   
      
   >   
   > integrate(((-1+x^4)*(1+x^2+x^4)*(-1+x^2-x^4)^(1/2))/(1+x^4)^3,x);   
   >   
   > ?? >> Error detected within library code:   
   > ?? catdef: division by zero   
   >   
   >   
   > integrate(((4+x^6)*(-4+x^4+2*x^6)*(32-14*x^4-32*x^6-4*x^8+7*x^   
   0+8*x^12)^(1/2))/(x^9*(-2+x^6)),x);   
   > ?   
   > ?? >> Error detected within library code:   
   > ?? integrate: implementation incomplete (residue poly has multiple   
   non-linear factors)   
      
   The two above are known problems, each will take more work to fix.   
   Actually, the first one requires reorganization of integration   
   routines.  The second one is king of open problem: known methods   
   of solving may require prohibitivly long time and nobody knows   
   of really efficient method.   
      
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