Let Ln denote the left-endpoint sum using n subintervals and let Rn 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. L4 for f(x) = on [2, 3] 1 x-1 16. R4 foron [-2, 2]
Let Ln denote the left-endpoint sum using n subintervals and let Rn 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. L4 for f(x) = on [2, 3] 1 x-1 16. R4 foron [-2, 2]
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![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 \([-2, 2]\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1fe61787-87ec-42ef-9b74-8862c323e0b5%2F098af055-d682-41f9-be83-88159e9cedbc%2Fcj2dktr_processed.png&w=3840&q=75)
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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