Richard Fateman schrieb:   
   >   
   >    If you really want to know a symbolic form for this   
   > integral, approximately, with possible relevance to some definite interval,   
   >   you can expand the integrand into a taylor series   
   > about some suitable nearby point in that interval, and integrate that.   
   >   
   > Using this taylor / integrate  procedure you can also get a check on whether   
   > your answer is right, by computing a taylor series of the answer.  Ignore   
   > the constant terms though.   
   >   
   > This can actually be much improved over other checking techniques since   
   > simplification of taylor series results may be more straightforward than   
   > mucking about with some random collection of algebraic, transcendental,   
   > and special functions.  I found that I had to replace abs(x) with x in some   
   > cases.   
   >   
   > This does not so much address the question of integrability in finite terms   
   > as finding an integrable representation of something approximating the   
   > integrand.  Which might be a suitable replacement of a possibly   
   > unsolvable problem with a useful substitute.   
   > It certainly works for the problem below.   
   > RJF   
   >   
   > On 3/16/2018 9:30 AM, Nasser M. Abbasi wrote:   
   > > On 3/16/2018 10:18 AM, clicliclic@freenet.de wrote:   
   >   
   > ...snip...   
   > >>   
   > >> integrate((5*x-9*sqrt(6)+26)/((x^2-4*x-50)*sqrt(x^3-30*x-56)), x)   
   > >>...snip...   
      
   The question was asked in the purely mathematical context of   
   integrability in elementary terms, and in the hope that the integral   
   could be confirmed to be pseudo-elliptic.   
      
   Martin.   
      
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