Using the rectangles each of whose height is given by the value of the function at the midpoint of the rectangle's base (the midpoint rule), estimate the area under the graph of the following function, using first two and then four rectangles. F(x)=3/x between x=3 and x=7 Using two rectangles, the estimate for the are under the curve is  Using four rectangles, the estimate for the area under the curve is

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 37E
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Using the rectangles each of whose height is given by the value of the function at the midpoint of the rectangle's base (the midpoint rule), estimate the area under the graph of the following function, using first two and then four rectangles.

F(x)=3/x between x=3 and x=7

Using two rectangles, the estimate for the are under the curve is 

Using four rectangles, the estimate for the area under the curve is 

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