Status: Valid
Owner: ----
CC: [email protected]
Labels: Type-Defect Priority-Medium Integration

New issue 3933 by [email protected]: Piecewise results returned from integrate should be structured so the uncommon answer is in otherwise
http://code.google.com/p/sympy/issues/detail?id=3933

We currently get

In [3]: integrate(x**n, x)
Out[3]:
⎧log(x)  for n = -1
⎪
⎪ n + 1
⎨x
⎪──────  otherwise
⎪n + 1
⎩

In [6]: integrate(exp(n*x), x)
Out[6]:
⎧ x    for n = 0
⎪
⎪ n⋅x
⎨ℯ
⎪────  otherwise
⎪ n
⎩

This is odd. We should flip what is given an explicit condition and what is in the otherwise condition.

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