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Lower sum, upper sum

Suppose f(x) is defined on the interval [a,b]. LetMATHbe n + 1 points. If mi  is the minimum value of f(x) on the subinterval [xi-1,xi], and Mi is the maximum value of f(x) on that subinterval, then

the lower sum isMATHthe upper sum isMATHandMATH


A B C D E F G H I J K L M N O P Q R S T U V W X Y Z


Left sum, right sum, middle sum

Riemann sum


Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.

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