Status: Valid
Owner: ----
Labels: Type-Defect Priority-Medium Integration
New issue 3659 by [email protected]: Issues with Ei from integrate
http://code.google.com/p/sympy/issues/detail?id=3659
In [60]: integrate(exp(x)/x, (x, -oo, oo))
RuntimeError: maximum recursion depth exceeded
In [61]: integrate(exp(I*x)/x, (x, -oo, oo))
Out[61]:
⎛ ⅈ⋅π⎞ ⎛ ⅈ⋅π⎞
⎜ ───⎟ ⎜ ───⎟
⎜ 2 ⎟ ⎜ 2 ⎟
- Ei⎝-∞⋅ℯ ⎠ + Ei⎝∞⋅ℯ ⎠
In [62]: integrate(exp(I*x)/x, (x, 0, oo))
Out[62]:
⎛ ⅈ⋅π⎞
⎜ ───⎟
⎜ 2 ⎟
Ei⎝∞⋅ℯ ⎠ - Ei(0)
In [63]: integrate(exp(n*x)/x, (x, 0, oo))
Out[63]: Ei(∞⋅n) - Ei(0)
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