Status: Accepted
Owner: ----
Labels: Type-Defect Priority-Medium WrongResult

New issue 2937 by [email protected]: Integrate Piecewise fails with symbolic bounds
http://code.google.com/p/sympy/issues/detail?id=2937

Integrating piecewise functions with symbolic bounds produces incorrect results.

p = Piecewise( (0, x<0), (x, x<=1), (1, True))

⎧0   for x₂ < 0
⎪
⎨x₂  for x₂ ≤ 1
⎪
⎩1   otherwise

# This works well
In [45]: integrate(p, (x,-5,1))
Out[45]: 1/2

# This does not
In [49]: integrate(p, (x,-5,z))
Out[49]: z - 1/2

For example, consider substituting in z=-5.

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