Determine whether each of the following integrals is proper, improper and convergent, or improper and divergent. ? ? סי ? ? 1. 2. 31π LS sin(0) arctan(0) de 17 1 6" 0 3. L 4. L dx 8 sin(4z) dz t | 12 +5 -∞ dt ? 5. 00 ? ? ? 1 dt 6. 7. 8. S L 8 17л/2 00 17 /t² – 16 tan²(4x) dx Se4s2 ds ln(x - 8) dx

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.4: Improper Integrals
Problem 12E
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Determine whether each of the following integrals is proper, improper and convergent, or improper and divergent.
?
?
סי
?
?
1.
2.
31π
LS
sin(0) arctan(0) de
17 1
6"
0
3. L
4.
L
dx
8
sin(4z) dz
t
| 12 +5
-∞
dt
?
5.
00
?
?
?
1
dt
6.
7.
8.
S
L
8
17л/2
00
17
/t² – 16
tan²(4x) dx
Se4s2
ds
ln(x - 8) dx
Transcribed Image Text:Determine whether each of the following integrals is proper, improper and convergent, or improper and divergent. ? ? סי ? ? 1. 2. 31π LS sin(0) arctan(0) de 17 1 6" 0 3. L 4. L dx 8 sin(4z) dz t | 12 +5 -∞ dt ? 5. 00 ? ? ? 1 dt 6. 7. 8. S L 8 17л/2 00 17 /t² – 16 tan²(4x) dx Se4s2 ds ln(x - 8) dx
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