Question 2 For each of the following integrals, determine whether it converges, and if it does, evaluate it. Make sure to: i. set up the improper integral using a limit, ii. determine whether or not this integral converges. If converges finds its value. Clearly show and justify your steps for each parts. 1 S 2 (x - 1)1.1 a. b. 1 So toda =dx √x -dx, note that 1.1 is 10

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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Question 2
For each of the following integrals, determine whether it converges, and if it does, evaluate
it. Make sure to:
i. set up the improper integral using a limit,
ii. determine whether or not this integral converges. If converges finds its value.
Clearly show and justify your steps for each parts.
1
11
a.
S -dx, note that 1.1 is 10
(x − 1)¹.1
∞
b. f. d
ve
1
=dx
Transcribed Image Text:Question 2 For each of the following integrals, determine whether it converges, and if it does, evaluate it. Make sure to: i. set up the improper integral using a limit, ii. determine whether or not this integral converges. If converges finds its value. Clearly show and justify your steps for each parts. 1 11 a. S -dx, note that 1.1 is 10 (x − 1)¹.1 ∞ b. f. d ve 1 =dx
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