Comment #10 on issue 3732 by aaaagra...@gmail.com: Integration of Piecewise function should also be continuous
http://code.google.com/p/sympy/issues/detail?id=3732

Ok, So I was wrong.
All integral transforms for Piecewise should work correctly in sympy because they finally reduce to a Definite integral, which is solved correctly. The above fourier_transform of sin(pi*x)/(pi*x) is wrong in 0.7.2 release, but seems to have been corrected in the current development. One last thing before closing this issue, shouldn't we return nan while differentiating at discontinuities?

Currently,

from sympy import *
x = symbol('x')
q = Piecewise((0, x <= -1), (x, x < 0.5), (0, True))
diff(q,x)
Piecewise((0, x <= -1), (1, x < 0.5), (0, True))


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