Comment #1 on issue 1987 by smichr: Integral(f(x), (x, g(x), h(x))).diff(x) incorrectly returns 0
http://code.google.com/p/sympy/issues/detail?id=1987
I think I have a fix for this in my t branch at github/smichr...it's working in the final commit but it needs comments. (And I'll try to keep my work separate from the review branch after I do cleanup tomorrow.)
I also added differentiation of multi-integrals, so Integral(x, lim1, lim1).diff(x) will work. If anyone has some tests that they could run besides the ones I did, that would be great.
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