Status: New
Owner: ----
Labels: Type-Defect Priority-Medium
New issue 3942 by [email protected]: pproblem with integration
http://code.google.com/p/sympy/issues/detail?id=3942
The following is todays version of sympy from git:
In [5]: integrate( (exp(t*x)-1)/x, (x,0,1))
Out[5]: zoo + Ei(t) - Ei(0)
The result, using the value zoo which I understand means 1/0, is wrong,
sine this integral is perfectly convergent. Wolphram alpha gives the result
ntegrate [e^[tx] - 1] / x, x=0..1
result:
Definite integral:
Chi(t)+Shi(t)- log(t) - gamma where
RawBoxes[TemplateBox[{x}, CoshIntegral]] is the hyperbolic cosine integral »
RawBoxes[RowBox[{log, RowBox[{(, x, )}]}]] is the natural logarithm »
RawBoxes[TemplateBox[{x}, SinhIntegral]] is the hyperbolic sine integral »
EulerGamma is the Euler‐Mascheroni constant »
(But I am really not sure Wolphrams result is correct either, since it
seems to have the wrong limit when $t \rightarrow 0$.
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