Updates:
Status: Started
Comment #8 on issue 1385 by Vinzent.Steinberg: Integral.midpoint()
implemented
http://code.google.com/p/sympy/issues/detail?id=1385
Correct me if I'm wrong, but I think rectangle rule is an approximation
using
piecewise constant functions, trapez rule is an approximation using
piecewise linear
functions and Simpson rule is an approximation using quadratic functions.
So "approximation" would not be too general in my opinion. All the rules
share the
fact being an approximation of the surface between the function and the
x-axis.
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