Determine whether each of the following integrals is proper, improper and convergent, or improper and divergent. ? 1. 31л -5π sin(0) arctan(0) de 17 1 ? 2. dx 8 ? 3. L sin(4z) dz

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
Question

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