(b) Let f be a function which is integrable on the closed interval [a, b). Suppose we have a function g defined on (a, b) and a point ao E [a, b) such that f(r) = g(x) if a # ro and f(ro) # 9(x0). Prove that i. g(x) is integrable on [a, b), and ii. g(r)dr.
(b) Let f be a function which is integrable on the closed interval [a, b). Suppose we have a function g defined on (a, b) and a point ao E [a, b) such that f(r) = g(x) if a # ro and f(ro) # 9(x0). Prove that i. g(x) is integrable on [a, b), and ii. g(r)dr.
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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plz solve both parts within 30-40 mins I'll give you multiple upvote
Transcribed Image Text:(b)
function g defined on [a, b) and a point ro € [a, b) such that f(x) = g(x) if a # ro and f(ro) # 9(x0).
Let f be a function which is integrable on the closed interval [a, b). Suppose we have a
Prove that
i. g(x) is integrable on [a, b), and
ii.
f(x)dr
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