ow using partitions that the function f(x) = r² is Riemann integrable on 1], and that
ow using partitions that the function f(x) = r² is Riemann integrable on 1], and that
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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![1. a) Show using partitions that the function f(x) = r² is Riemann integrable on
[0, 1], and that
1
[ f(x)dx=
= 3
b) Use the Darboux integrability condition to prove that if f and g are Riemann
integrable on [a, b] then f - g is also Riemann integrable on [a, b].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe469c8e1-3d66-4aef-8026-c4bcbe49028e%2Fb826c097-6a7a-4686-9870-ef80d093dc65%2F6rcevr_processed.png&w=3840&q=75)
Transcribed Image Text:1. a) Show using partitions that the function f(x) = r² is Riemann integrable on
[0, 1], and that
1
[ f(x)dx=
= 3
b) Use the Darboux integrability condition to prove that if f and g are Riemann
integrable on [a, b] then f - g is also Riemann integrable on [a, b].
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