Comment #8 on issue 636 by ondrej.certik: integrate(1/(x**2+1)) should return arctan(x) http://code.google.com/p/sympy/issues/detail?id=636
Here is what mathematica does: http://integrals.wolfram.com/index.jsp?expr=1%2F(1%2Bx^5)&random=false 1 Integrate[------, x] == 5 1 + x (-2 Sqrt[10 - 2 Sqrt[5]] 1 + Sqrt[5] - 4 x ArcTan[--------------------] + Sqrt[10 - 2 Sqrt[5]] 2 Sqrt[2 (5 + Sqrt[5])] -1 + Sqrt[5] + 4 x ArcTan[---------------------] + 4 Log[1 + x] + Sqrt[2 (5 + Sqrt[5])] (-1 + Sqrt[5]) x 2 (-1 + Sqrt[5]) Log[1 + ---------------- + x ] - 2 (1 + Sqrt[5]) x 2 (1 + Sqrt[5]) Log[1 - --------------- + x ]) / 20 2 Btw, I think our pretty printing looks much better! :) -- You received this message because you are listed in the owner or CC fields of this issue, or because you starred this issue. You may adjust your issue notification preferences at: http://code.google.com/hosting/settings --~--~---------~--~----~------------~-------~--~----~ You received this message because you are subscribed to the Google Groups "sympy-issues" group. To post to this group, send email to [email protected] To unsubscribe from this group, send email to [email protected] For more options, visit this group at http://groups.google.com/group/sympy-issues?hl=en -~----------~----~----~----~------~----~------~--~---
