The integrand is highly peaked.  It is approximately an impulse function where 
much of the mass is concentrated at a very small interval.  Plot the function 
and see for yourself.  This is the likely cause of the problem.

Other types of integrands where you could experience problems are: integrands 
with singularity at either limit and slowly decaying oscillatory integrands.  
As to why integrate performs better than adaptIntegrate in this situation, I 
don't know.  You have to study the two implementations.   Wynn's epsilon 
algorithm is an extrapolation method for improving the convergence of a 
sequence.  This could be an explanation for the better performance, but I 
cannot say for sure.

Hope this is helpful,
Ravi
-------------------------------------------------------
Ravi Varadhan, Ph.D.
Assistant Professor,
Division of Geriatric Medicine and Gerontology School of Medicine Johns Hopkins 
University

Ph. (410) 502-2619
email: rvarad...@jhmi.edu<mailto:rvarad...@jhmi.edu>


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