8. Which of the following is true for the integraldx?xP(ln x)4(a)It diverges for p < 1 and converges for p > 1.(b)It diverges for p <1 and converges for p > 1.It diverges for p < 1 and converges for p > 1. Ifp = 1, then it diverges for q<1 and convergesfor q > 1.(c)It diverges for p < 1 and converges for p > 1. Ifp = 1, then it diverges for q> 1 and convergesfor q < 1.(d)(e)It converges for q <1 and diverges for q > 1.

Answered: 8. Which of the following is true for…

8. Which of the following is true for the integral dx XP(In x)ª e (a) It diverges for p < 1 and converges for p > 1. (b) It diverges forp<1 and converges for p > 1.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 9T

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Question

8. Which of the following is true for the integral
dx
?
xP(ln x)4
(a)
It diverges for p < 1 and converges for p > 1.
(b)
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)
It diverges for p < 1 and converges for p > 1. If
p = 1, then it diverges for q> 1 and converges
for q < 1.
(d)
(e)
It converges for q <1 and diverges for q > 1.

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