```Date: Apr 21, 2013 5:17 AM
Author: Alex Krasnov
Subject: Re: Mathematica integration Vs Sympy

Mathematica's Integrate implicitly assumes that parameters have generic values. The result can be invalid for special values, in this case, a==1. It appears that the same is true for SymPy's integrate, as u.subs({a:1}) demonstrates.For other values, the Mathematica and SymPy results appear to differ by a constant of integration. Both results are valid. This is a consequence of different integration procedures and can occur even for the same integral in different forms in Mathematica and presumably SymPy.AlexOn Sat, 20 Apr 2013, Sergio R wrote:> Hello all,>>   Just for fun a put an integral I was doing via mathematica> WolframAlpha> [  http://www.wolframalpha.com/input/?i=Integrate[1%2F%28x*%281-a*%281-x%29%29%29%2Cx]> ]> into the online sympy [ http://live.sympy.org/ ] console> the following:>> a = Symbol('a'); g = 1/(x*(1-a*(1-x))) ; u=simplify(integrate(g,x))>> Then, to display the result, at the sympy ">>>" prompt, type u> and hit return.>>  To my surprise,  sympy seems to give the right result without any> assumption, while mathematica's result seems to assume a>1, which is> not specified. Also for this case (a>1) sympy gives an extra constant> which is not present in the mathematica result.>> Is there a way to make mathematica to output a general result like> sympy> in this case?>> Sergio>
```