My Math Forum Upper and Lower Estimate of Integral

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 November 11th, 2009, 08:50 AM #1 Newbie   Joined: Nov 2009 Posts: 2 Thanks: 0 Upper and Lower Estimate of Integral A table of values of an increasing function f is shown. x 0 5 10 15 20 25 f(x) -44 -36 -25 -8 16 36 Use the table to find lower and upper estimates for the integral I. I = f(x)dx , endpoints [0,25]
 November 11th, 2009, 11:43 AM #2 Senior Member   Joined: Dec 2008 Posts: 251 Thanks: 0 Re: Upper and Lower Estimate of Integral Here is a hint: whether an estimate is upper or lower depends on which rectangles you use in the $xy$-plane. The estimate is given by an expression of the form $\sum_{k=1}^5\,y_k \Delta x_k.$ What should the values of $y_k$ be in each case?

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# what are upper estimate

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