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

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   Message 9,095 of 10,432   
   Albert Rich to clicl...@freenet.de   
   Re: what result is integrate( sinh(2sinh   
   15 Jun 16 20:04:21   
   
   From: Albert_Rich@msn.com   
      
   On Wednesday, June 15, 2016 at 2:35:39 AM UTC-10, clicl...@freenet.de wrote:   
   > Dr Huang schrieb:   
   > >   
   > > what is result is integrate( sinh(2sinh(x)-1)*cosh(x ))   ?   
   > > wolfram cannot do. which CAS can do?   
   > >   
   >   
   > Sadly, Derive 6.10 cannot:   
   >   
   > INT(SINH(2*SINH(x) - 1)*COSH(x), x)   
   >   
   > #e^(-1)*SUBST(INT(#e^(x - 1/x)/x^2, x), x, #e^x)/4   
   >  + #e^(-1)*SUBST(INT(#e^(x - 1/x), x), x, #e^x)/4   
   >  - #e*SUBST(INT(#e^(1/x - x)/x^2, x), x, #e^x)/4   
   >  - #e*SUBST(INT(#e^(1/x - x), x), x, #e^x)/4   
   >   
   > The integrand is converted to exponentials whereupon the system is lost.   
   > This has been remedied this in Rubi, I hope.   
   >   
   > Martin.   
      
   Yes, Rubi gets the optimal result in 2 steps using the obvious substitution   
   u=sinh(x).   
      
   Albert   
      
   --- SoupGate-Win32 v1.05   
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