(b) Divide the interval [-1, 1] into 2n parts. Approximate the area under the curve by rectangles, using... i. .the left endpoint on subintervals of [-1,0] and the right endpoint on subin- tervals of [0, 1].

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solve b) using Reinmann rule

3. Consider the function
{i
for x +0
f(x) =
for x = 0.
(a) Would you expect S, f(x) dx to be defined? Explain your answer.
(b) Divide the interval [-1, 1] into 2n parts. Approximate the area under the curve
by rectangles, using...
i. .the left endpoint on subintervals of [-1,0] and the right endpoint on subin-
tervals of [0, 1].
ii. ...the left endpoint on subintervals of [-1, - and the right endpoint on
subintervals of [-;, 1].
Transcribed Image Text:3. Consider the function {i for x +0 f(x) = for x = 0. (a) Would you expect S, f(x) dx to be defined? Explain your answer. (b) Divide the interval [-1, 1] into 2n parts. Approximate the area under the curve by rectangles, using... i. .the left endpoint on subintervals of [-1,0] and the right endpoint on subin- tervals of [0, 1]. ii. ...the left endpoint on subintervals of [-1, - and the right endpoint on subintervals of [-;, 1].
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