Comment #73 on issue 1695 by asmeurer: integral of a piecewise function
gives bad result
http://code.google.com/p/sympy/issues/detail?id=1695
I see. Having the same symbol in the limits as the symbol of integration
is confusing, and can lead to bugs, but I think we can support it if we do
it right (see issue 1992).
Maple gives:
integrate(piecewise(x<2, 3*x, 0), x=0..x);
/ 3 2
| - x x <= 2
< 2
|
\ 6 2 < x
and if you replace the x in the limits with X, it gives the same thing in X
(so you know that it isn't being confused). The fact that the resulting
conditions in the piecewise are different indicates that Maple has used the
algorithm from issue 2128.
SymPy has a much more intuitive syntax for piecewise functions than Maple,
btw.
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