Wrong result for definite integral
- To: mathgroup at smc.vnet.net
- Subject: [mg109954] Wrong result for definite integral
- From: Matthias <ichschmidt at gmx.net>
- Date: Wed, 26 May 2010 07:09:17 -0400 (EDT)
Dear all,
I get a wrong, complex value for the following definite integral:
In[27]:= Integrate[(1/x - 1/x/E^x)*
PDF[NormalDistribution[1, 2], x], {x, -Infinity, Infinity}]
Out[27]= -((I Sqrt[\[Pi]])/(Sqrt[2] E^(1/8)))
Numerical Integration gives the following correct result:
In[25]:= NIntegrate[(1/x - 1/x/E^x)*
PDF[NormalDistribution[1, 2], x], {x, -100, 100}]
Out[25]= 1.25243
This result does not depend on the integration bounds. Does anybody have
an idea what's going wrong?
Thanks,
Matthias