Let f(x) = x² and compute the Riemann sum of f over the interval [6,8], using the following number of subintervals (n). In each case, choose the representative points to be the midpoints of the subintervals. (Round your answers to two decimal places.) (a) Use two subintervals of equal length (n = 2). 226 X (b) Use five subintervals of equal length (n = 5). 196.8 X (c) Use ten subintervals of equal length (n = 10). 241.6 X (d) Can you guess at the area of the region under the graph of f on the interval [6, 8]? 128 X square units
Let f(x) = x² and compute the Riemann sum of f over the interval [6,8], using the following number of subintervals (n). In each case, choose the representative points to be the midpoints of the subintervals. (Round your answers to two decimal places.) (a) Use two subintervals of equal length (n = 2). 226 X (b) Use five subintervals of equal length (n = 5). 196.8 X (c) Use ten subintervals of equal length (n = 10). 241.6 X (d) Can you guess at the area of the region under the graph of f on the interval [6, 8]? 128 X square units
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 f(x) = x² and compute the Riemann sum of f over the interval [6,8], using the following number of subintervals (n). In each case, choose the representative points to be the midpoints of the
subintervals. (Round your answers to two decimal places.)
(a) Use two subintervals of equal length (n = 2).
226
(b) Use five subintervals of equal length (n = 5).
196.8
(c) Use ten subintervals of equal length (n = 10).
241.6
X
(d) Can you guess at the area of the region under the graph of f on the interval [6, 8]?
128
X square units](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F706a4e11-39f0-4522-a6d5-52fa371391a8%2Ff89648c6-11e2-4105-8265-8090054c6da7%2Fnj13lgl_processed.png&w=3840&q=75)
Transcribed Image Text:Let f(x) = x² and compute the Riemann sum of f over the interval [6,8], using the following number of subintervals (n). In each case, choose the representative points to be the midpoints of the
subintervals. (Round your answers to two decimal places.)
(a) Use two subintervals of equal length (n = 2).
226
(b) Use five subintervals of equal length (n = 5).
196.8
(c) Use ten subintervals of equal length (n = 10).
241.6
X
(d) Can you guess at the area of the region under the graph of f on the interval [6, 8]?
128
X square units
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