8. Which of the following is true for the integral da ? xP (In x) q It diverges for p < 1 and converges for p > 1. It diverges for p ≤ 1 and converges for p > 1. It diverges for p < 1 and converges for p > 1. If p= 1, then it diverges for q ≤ 1 and converges for q> 1. It diverges for p < 1 and converges for p > 1. If p= 1, then it diverges for q> 1 and converges for q ≤ 1. It converges for q ≤ 1 and diverges for q> 1. (a) (b) (c) (d) (e)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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8. Which of the following is true for the integral
dx
100 =
?
xP (In x)9
(b)
(a) It diverges for p < 1 and converges for p > 1.
It diverges for p ≤ 1 and converges for p > 1.
It diverges for p < 1 and converges for p > 1. If
p= 1, then it diverges for q ≤ 1 and converges
for q> 1.
(c)
(d)
It diverges for p < 1 and converges for p > 1. If
p = 1, then it diverges for q> 1 and converges
for q ≤ 1.
(e)
It converges for q ≤ 1 and diverges for q> 1.
Transcribed Image Text:8. Which of the following is true for the integral dx 100 = ? xP (In x)9 (b) (a) It diverges for p < 1 and converges for p > 1. It diverges for p ≤ 1 and converges for p > 1. It diverges for p < 1 and converges for p > 1. If p= 1, then it diverges for q ≤ 1 and converges for q> 1. (c) (d) It diverges for p < 1 and converges for p > 1. If p = 1, then it diverges for q> 1 and converges for q ≤ 1. (e) It converges for q ≤ 1 and diverges for q> 1.
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