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

New issue 3503 by [email protected]: Special values for Si are not implemented
http://code.google.com/p/sympy/issues/detail?id=3503

In [44]: integrate(sin(x)/x, (x, 0, t))
Out[44]: Si(t)

In [45]: integrate(sin(x)/x, (x, 0, oo))
Out[45]:
π
─
2

In [46]: Si(oo)
Out[46]: Si(∞)

In [47]: limit(Si(x), x, oo)
Out[47]: Si(∞)

Probably there are several other cases that aren't implemented yet either. Would it be reasonable to create some kind of table of "likely" values to have closed form solutions for these special functions defined by integrals, and use integrate() to compute them (possibly with caching)?

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