Comment #2 on issue 3649 by [email protected]: integrate(x**x*log(x)) gives 0
http://code.google.com/p/sympy/issues/detail?id=3649

This reveals a much more serious problem, which I suspect is rampant throughout SymPy. The problem was that Integral._eval_subs was returning an Integral, so that NonElementaryIntegral.subs gave an Integral, and hence failed an isinstance check.

All methods of classes that return another instance of that class should return self.func(*args) instead of Class(*args). That way, if someone subclasses that class, it will give the subclass, not the superclass. I opened issue 3652 for that.

I'm having SSH issues right now, but as soon as they are fixed, I'll open a pull request with the fix.

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