)set output tex off
 

)set output algebra on

integrate(x/sqrt(x^4 + 10*x^2 - 96*x - 71),x)

   (1)
     log
                                                 +--------------------+
            6      4      3      2               | 4      2                8
          (x  + 15x  - 80x  + 27x  - 528x + 781)\|x  + 10x  - 96x - 71  + x
        + 
             6       5      4        3        2
          20x  - 128x  + 54x  - 1408x  + 3124x  + 10001
  /
     8