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

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   Message 8,727 of 10,432   
   Waldek Hebisch to All   
   Special function integration challenge   
   09 Jan 15 04:37:15   
   
   From: hebisch@math.uni.wroc.pl   
      
   Can your system compute the following integrals:   
      
   1)   
      
   ((li(x)*log(x)+li(x)+1)*exp(li(x)+x))/log(x)   
      
   2)   
      
   (((li(x)^2+x*li(x)+1)*log(x)+li(x)^2+(x+1)*li(x)+x+1)*   
   exp(li(x)+x))/((li(x)+x)*log(x))   
      
   3)   
      
   (((li(x)+x-1)*log(x)+li(x)+x-1)*exp(li(x)+x))/   
   ((li(x)^2+2*x*li(x)+x^2)*log(x))   
      
   4)   
      
   (log(x)+1)*exp(li(x)+x)/((li(x)+x+1)*log(x))   
      
   5)   
      
   (((-2*x*li(x)^2-(2*x+1)*li(x)+2*x^3-2*x^2+x)*log(x)+2*li(x)^3+   
   2*li(x)^2+(-2*x^2+2*x-1)*li(x)+x)*exp(li(x)^2-x^2))/((li(x)^3+   
   x*li(x)^2-x^2*li(x)-x^3)*log(x))   
      
      
   In all cases 'li' means logarytmic integral.  The results   
   are simple, but some sytems have great trouble handling   
   them.   
      
   --   
                                 Waldek Hebisch   
   hebisch@math.uni.wroc.pl   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)   

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