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

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   Message 8,585 of 10,432   
   clicliclic@freenet.de to clicliclic@freenet.de   
   Re: Rubi 4.5 released   
   23 Jun 14 13:16:43   
   
   clicliclic@freenet.de schrieb:   
   >   
   > [...] The alternative would be to use variable substitution; one way   
   > is described by Charlwood, another is to apply the substitution t =   
   > SQRT(x + 1) - SQRT(x), SQRT(x) = (1 - t^2)/(2*t), dx = (t^4 - 1)/   
   > (2*t^3)*dt to the integral:   
   >   
   >   INT(SQRT(SQRT(x))*SQRT(SQRT(x + 1) - SQRT(x))/SQRT(x + 1), x)   
   >   
      
   Oops, this should have been the original integrand:   
      
     INT(SQRT(SQRT(x)*(SQRT(x + 1) - SQRT(x)))/SQRT(x + 1), x)   
      
   Martin.   
      
   --- SoupGate-Win32 v1.05   
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