b. C. e 8 1.00⁰ 1 x ln(x) 1 x(ln(x))² dx dx

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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Only need helo with b,c and e please, thank you!

6. Determine, with justification, whether each of the following improper
integrals converges or diverges.
a.
b.
C.
e.
e
f.
∞
S
e
1.00
S
0
0
In(x)
X
1
dx
1
d. Se (In(2) dx, where p is a positive real number
x(ln(x))p
In(x)
x
1
x ln(x)
1
x(ln(x))²
dx
dx
In(x) dx
dx
Transcribed Image Text:6. Determine, with justification, whether each of the following improper integrals converges or diverges. a. b. C. e. e f. ∞ S e 1.00 S 0 0 In(x) X 1 dx 1 d. Se (In(2) dx, where p is a positive real number x(ln(x))p In(x) x 1 x ln(x) 1 x(ln(x))² dx dx In(x) dx dx
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