Determine whether each of the following integrals is proper, improper and convergent, or improper and divergent. Improper and divergent 1. 6º - 1 t²-64 dt 36x 2. Improper and convergent * sin(0) arctan (0) de -6x 13 Proper 3. ·™*m(x − 6) dæ Improper and divergent [s sin(82) dz 00 t Improper and divergent SOF dt t² + 6 00 13x/2 Improper and divergent x/6 Improper and convergent [ºs Improper and convergent 6.". V 5. 6. 7. 8. tan² (8x) dx ds 13 1 √√x-6 8e882 da

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Determine whether each of the following integrals is proper, improper and convergent, or improper and divergent.
00
Improper and divergent V 1.
1
4²-64
dt
36T
Improper and convergent ✓ 2.
sin (0) arctan (0) de
Proper
3.
In(x-6) dx
Improper and divergent
4.
sin(82) dz
t
Improper and divergent V
dt
+² +6
Improper and divergent V
Improper and convergent ✓
Improper and convergent
5.
6.
7.
8.
-67
13
00
-00
[%7
T
-π/6
[..
[":
·00 £2
13π/2
tan² (8x) dx
ds
86882
13 1
√x-
- 6
dx
Transcribed Image Text:Determine whether each of the following integrals is proper, improper and convergent, or improper and divergent. 00 Improper and divergent V 1. 1 4²-64 dt 36T Improper and convergent ✓ 2. sin (0) arctan (0) de Proper 3. In(x-6) dx Improper and divergent 4. sin(82) dz t Improper and divergent V dt +² +6 Improper and divergent V Improper and convergent ✓ Improper and convergent 5. 6. 7. 8. -67 13 00 -00 [%7 T -π/6 [.. [": ·00 £2 13π/2 tan² (8x) dx ds 86882 13 1 √x- - 6 dx
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