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. * 5+ sin(x) dx Vx – 0.3 1. 1 e dx x2 2. cos (x) dæ x2 + 6 1 1 dx x2 + 6 4. 1 dx Vx6 + 6 5. 3.

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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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.
r** 5+ sin(x)
1.
dx
х — 0.3
1
-x
e
dx
x2
2.
poo cos²(x)
dx
x2 + 6
COS
1
1
dx
x2 + 6
4.
1
dx
x6 + 6
5.
A. The integral is convergent
B. The integral is divergent
1
C. by comparison to
dx.
г2 — 6
1
dx.
x2 + 6
* cos
D. by comparison to
1
E. by comparison to
(x)
dx.
x2
F. by comparison to
dx.
x2
1
-x
G. by comparison to
dx.
2x
1
H. by comparison to
1
dx.
I. by comparison to
dx.
00
1
dx.
x2
1
dx.
x3
J. by comparison to
K. by comparison to
L. The comparison test does not apply.
3.
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. r** 5+ sin(x) 1. dx х — 0.3 1 -x e dx x2 2. poo cos²(x) dx x2 + 6 COS 1 1 dx x2 + 6 4. 1 dx x6 + 6 5. A. The integral is convergent B. The integral is divergent 1 C. by comparison to dx. г2 — 6 1 dx. x2 + 6 * cos D. by comparison to 1 E. by comparison to (x) dx. x2 F. by comparison to dx. x2 1 -x G. by comparison to dx. 2x 1 H. by comparison to 1 dx. I. by comparison to dx. 00 1 dx. x2 1 dx. x3 J. by comparison to K. by comparison to L. The comparison test does not apply. 3.
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