Problematic family of integrals
- To: mathgroup at smc.vnet.net
- Subject: [mg109362] Problematic family of integrals
- From: Dimitris Emmanoulopoulos <demmanoulopoulos at hotmail.com>
- Date: Fri, 23 Apr 2010 03:49:34 -0400 (EDT)
like to draw your attention to the following family of Integrals that are faulty
evaluated from Mathematica 7.0 1.0 for
Microsoft Windows (32-bit) (February 18, 2009).
Take a look
also to the next integral giving:
the correct result which is equal to
estimate the following case having very small exponent
The last integral also
gives the correct result BUT setting the exponent directly inside the Integral to the same very small value
It would be
useful to check if these =93bugs=94 occur under other operating systems and /or
versions of Mathematica. It would be also very interesting to find out, whether
or not there are even more general expressions for this family of integrations being also problematic.
Naturally, WolframAlpha also gives wrong results for all these cases which you
can readily cross check by the visual representation of the integral which is
produced automatically. For the case of the kernel-failure-Integral, the WolframAlpha
server seems not to respond.
already reported the aforementioned =93bugs=94 to the technical support and they
will be fixed in the future release version.
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