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Simspons Rule

  1. Feb 27, 2013 #1
    Is there a visual way to represent this theorem? Like Riemanns rules with rectangles and trapezoids? I know the clear cut way to evaluate the area under the curve using the rule on a closed set. Soooo any thoughts?

  2. jcsd
  3. Feb 27, 2013 #2


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    Just as the trapezoid rule approximates the function graph by straight lines between two consecutive points, Simpson's rule approximates the function graph by a parabola through three consecutive points.
  4. Feb 27, 2013 #3


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  5. Feb 27, 2013 #4
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