Comment #4 on issue 3037 by [email protected]: integrate(exp(I*k*x)/(k**2 - 2*lamda + 1), (k, -oo, oo)) should be expressible in closed form
http://code.google.com/p/sympy/issues/detail?id=3037
I consider the simplification of the conditionals to be a completely separate issue. I already know that we suck at doing that, and that we need to implement a much stronger framework for doing it (which will likely require stronger assumptions in the new assumptions system). My concern here is mainly about computing the integral itself in a closed form.
Perhaps there's some random special function that those G-functions can be reduced to, but will cancel each other out. That seems to happen rather often.
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