From: samuel.thomas.blake@gmail.com   
      
   Some of you may find this result interesting...   
      
   In[1047]:= $Version   
      
   Out[1047]= "13.2.0 for Mac OS X x86 (64-bit) (November 18, 2022)"   
      
   In[1048]:= Integrate[(2 - Sqrt[7] x^2 + 3 x^4)/(2 + Sqrt[7] x^2 - x^4)^2, x]   
      
   Out[1048]= 1/60 (30 x AppellF1[1/2, 2, 2, 3/2, (2 x^2)/(Sqrt[7] + Sqrt[15]),   
   (2 x^2)/(Sqrt[7] - Sqrt[15])] -   
      5 Sqrt[7] x^3 AppellF1[3/2, 2, 2, 5/2, (2 x^2)/(Sqrt[7] + Sqrt[15]), (2   
   x^2)/(Sqrt[7] - Sqrt[15])] +   
      9 x^5 AppellF1[5/2, 2, 2, 7/2, (2 x^2)/(Sqrt[7] + Sqrt[15]), (2   
   x^2)/(Sqrt[7] - Sqrt[15])])   
      
   Cheers,   
      
   Sam   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)