Main Lesson | Sect A | Sect B | Sect D | Sect E | Sect F | Sect G | Sect H

C.  UPPER RIEMANN SUM

If you cannot view the LiveMath document below, click here to troubleshoot.
 
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1. The 3rd LiveMath document (IT4AMIntegArea3.thp) shows the same speed-time graph of the car but with a different series of rectangles. They have the same width (for the same n = 4) but they cover the curve instead. Please note that the height of the first rectangle is f(1) instead of f(0) in the Lower Riemann Sum Method.
   
Question 9: As all these rectangles cover the curve, will the sum of the areas of the rectangles be greater or less than the actual area under the curve? 


The sum of the areas of these rectangles is called the Upper Riemann Sum.
 
Question 10: Complete the following statement: 
__________ Sum < Area < _________ Sum
 

Continue Lesson - Section D


Main Lesson | Sect A | Sect B | Sect D | Sect E | Sect F | Sect G | Sect H