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