/p>

    <p>
      The use of equally spaced abscissas may be important for your
      application.  That may how your data was collected, for instance.
      On the other hand, the use of equally spaced abscissas carries
      a few costs.  In particular, for a given degree of polynomial
      accuracy, there will be rules that achieve this accuracy, but
      use fewer abscissas than Newton-Cotes.  Moreover, the Newton-Cotes
      approach almost always results in negative weights for some
      abscissas