2/* cos"(@) dx x2 + 3 A. The integral is convergent B. The integral is divergent 1 dx. 3 C. by comparison to x2 1 1 dx. x2 + 3 D. by comparison to 1 cos (x) dx. E. by comparison to F. by comparison to dx. x 2 1 G. by comparison to dx. 2x 1 1 dx. H. by comparison to 1

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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Question
For each of the improper integrals below, if the comparison test applies, enter either A
or B followed by one letter from C to K that best applies, and if the comparison test
does not apply, enter only L. For example, one possible answer is BF, and another one
is L.
Hint: 0 < e < 1 for x > 1.
cos (x)
dx
2.
x2 + 3
A. The integral is convergent
B. The integral is divergent
1
dx.
x2 – 3
C. by comparison to
1
dx.
x2 + 3
D. by comparison to
1
cos“(x)
dx.
E. by comparison to
F. by comparison to
dx.
x2
1
e
G. by comparison to
dx.
2x
1
1
dx.
H. by comparison to
I. by comparison to
dx.
1
dx.
x2
J. by comparison to
1
dx.
x3
K. by comparison to
1
L. The comparison test does not apply.
Transcribed Image Text:For each of the improper integrals below, if the comparison test applies, enter either A or B followed by one letter from C to K that best applies, and if the comparison test does not apply, enter only L. For example, one possible answer is BF, and another one is L. Hint: 0 < e < 1 for x > 1. cos (x) dx 2. x2 + 3 A. The integral is convergent B. The integral is divergent 1 dx. x2 – 3 C. by comparison to 1 dx. x2 + 3 D. by comparison to 1 cos“(x) dx. E. by comparison to F. by comparison to dx. x2 1 e G. by comparison to dx. 2x 1 1 dx. H. by comparison to I. by comparison to dx. 1 dx. x2 J. by comparison to 1 dx. x3 K. by comparison to 1 L. The comparison test does not apply.
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