Riemann Sum Power Point
Transcript of Riemann Sum Power Point
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Riemann Sums are used to approximate
the area between a curve and the x-axis over an
interval. Riemann sums divide the areas into
rectangles. By adding the areas of therectangles, one gets an approximation for the
area under the curve on the given interval.
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Usually Riemann sums will use equallysized partitions of the interval to make
calculations easier. By having bases of
equal length, the base can be factored out
when calculating the sum.
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Heres an example of how a Riemann Sum works:
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YOU NOW HAVE A FORMULA FOR THE AREA UNDER THE CURVEON ANY INTERVAL [a, b] FOR THE FUNCTION y = x3 x2.
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You now know how to use Riemann Sums!
The next step is to add a bit of Calculus to the mix.
Georg Friedrich Bernhard Riemann
Born: September 17, 1826Died: July 20, 1866
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