Integrating x^b*Log[x]^m gives wrong result?
- To: mathgroup at smc.vnet.net
- Subject: [mg85434] Integrating x^b*Log[x]^m gives wrong result?
- From: KvS <keesvanschaik at gmail.com>
- Date: Sun, 10 Feb 2008 05:19:51 -0500 (EST)
I'm running into the following problems with symbolic vs. numerical
integration of the function x^(-3.5)*Log[x]^m:
Of course the symbolic integration is wrong here since it shouldn't
yield a negative number. If the recursive formula resulting from
partial integration is used, things seem to go wrong as well:
So the result for m=25 still coincides with the one from NIntegrate,
while Integrate already gives something different; for m=40 the result
is different from both NIntegrate and Integrate (and wrong as it is
negative). If one changes the negative power of x to a positive one,
things seem ok btw.
Any clues what might be going on here?
Thanks in advance, Kees
Out= 6.0 for Microsoft Windows (32-bit) (April 27, 2007)
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