Which of the following improper integrals is convergent and which is divergent. Justify you answer (a) ∞ 1²TE² e-t - dt (b) ∞ s -80 dt ex + e-x

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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Problem 2
Which of the following improper integrals is convergent and which is divergent. Justify you answer
∞
(a) ļ
e-t
- dt
√t
(b)
∞0
S
-∞0
dt
ex + e-x
Transcribed Image Text:Problem 2 Which of the following improper integrals is convergent and which is divergent. Justify you answer ∞ (a) ļ e-t - dt √t (b) ∞0 S -∞0 dt ex + e-x
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