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The Mathematica manual says:

NIntegrate symbolically analyzes its input to transform oscillatory and other integrands, subdivide piecewise functions, and select optimal algorithms.

  1. How do I extract the specific value of Method (and other related options) being used for a particular case? In other words, if the method is set to Automatic, how do I know which method was actually used for integration for a given case?

  2. Can I achieve better accuracy if I modify the parameters for NIntegrate? I mean, does the automatic selection work well for a majority of cases (if an integrand is non-problematic)? [from your experience]

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marked as duplicate by J. M. is away Apr 27 '13 at 4:41

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