Comment #3 on issue 2276 by smi...@gmail.com: integrate() should use the ode module's undetermined coefficients solver when possible
http://code.google.com/p/sympy/issues/detail?id=2276
So would the _eval_integral routine just have to look for a NotImplementedError to know if it failed? And if it did, should it then try its own heuristics?
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