Determine whether each of the following integrals is proper, improper and convergent, or improper and divergent.?????✓1.2.3.4.5.31лLST-5πsin(0) arctan(0) de17 16"0L00-00LL4∞8sin(4z) dzdxtdtt² +51dt-– 16???6.7.17л/2-л/800tan²(4x) dxSe4s² ds17ln(x - 8) dx8.8S"

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

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Question

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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