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

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   Message 8,498 of 10,432   
   G. A. Edgar to nma@12000.org   
   Re: hard integral   
   21 Feb 14 06:21:15   
   
   From: edgar@math.ohio-state.edu.invalid   
      
   In article , Nasser M. Abbasi   
    wrote:   
      
   > Maple 17   
   > ----------   
   >   
   > (*can do direct definite integration but gives wrong answer?*)   
   > z:=arcsin(sqrt(x))/(x^4-2*x^3+2*x^2-x+1);   
   > r:=int(z,x=0..1):   
   > evalf(r);   
   >    -.894336814301231-.670856586950946*I   
      
   If you do A := int(z,x): plot(Re(A),x=0..1);   
      
   you will see why Maple gets the wrong answer for this.  It has   
   discontinuities in its antiderivative.   
      
   --   
   G. A. Edgar                              http://www.math.ohio-state.edu/~edgar/   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)   

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