But Sympy returns a result for x**x as well.  It is just not in terms that 
most will find easy to understand:

>>> integrate(x**x)
Piecewise((x*x**x*gamma(x + 1)/gamma(x + 2), Abs(x) < 1), (x*x**x*gamma(x + 
1)/gamma(x + 2) + gamma(x + 1)/gamma(x + 2) + gamma(-x - 1)/gamma(-x), 
Abs(1/x) < 1), (meijerg(((1,), (x + 2,)), ((x + 1,), (0,)), x) + 
meijerg(((x + 2, 1), ()), ((), (x + 1, 0)), x), True))


On Monday, May 27, 2013 10:53:22 AM UTC-7, Aaron Meurer wrote:
>
> What is a good example of a (preferably simple) integral that SymPy 
> will not likely be able to ever do, because there really aren't any 
> closed forms of it, even in terms of special functions? I need a nice 
> example of when integrate() returns an Integral() in my new tutorial. 
> Either definite or indefinite will do fine. 
>
> Aaron Meurer 
>

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