Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
Let \( L_n \) denote the left-endpoint sum using \( n \) subintervals, and let \( R_n \) denote the corresponding right-endpoint sum. In the following exercises, compute the indicated left and right sums for the given functions on the indicated interval. 12. \( L_4 \) for \( f(x) = \frac{1}{x-1} \) on \([2, 3]\) 16. \( R_4 \) for \( \frac{1}{x^2+1} \) on \([-2, 2]\)
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Transcribed Image Text:Let \( L_n \) denote the left-endpoint sum using \( n \) subintervals, and let \( R_n \) denote the corresponding right-endpoint sum. In the following exercises, compute the indicated left and right sums for the given functions on the indicated interval. 12. \( L_4 \) for \( f(x) = \frac{1}{x-1} \) on \([2, 3]\) 16. \( R_4 \) for \( \frac{1}{x^2+1} \) on \([-2, 2]\)
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