Textbook ExpertVerified Tutor
21 Nov 2021
Given information
The integral is 
To find whether the integral is convergent or divergent.
is convergent or divergent.Step-by-step explanation
Step 1.
Given,
If the value of integral is finite it is said to be convergent.
If the value of integral is infinite it is said to be divergent.
On Integration, the integral becomes
Apply the limits,
which does not exist
is an oscillating function does not converge to a single point ]Since the given integral has infinite value.
Hence, the given integral is divergent
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1a
- Problem 1b
- Problem 1c
- Problem 1d
- Problem 2a
- Problem 2b
- Problem 2c
- Problem 2d
- Problem 3
- Problem 4a
- Problem 4b
- Problem 4c
- Problem 5
- Problem 6
- Problem 7
- Problem 8
- Problem 8a
- Problem 8b
- Problem 8c
- Problem 9
- Problem 9e
- Problem 10
- Problem 10e
- Problem 11
- Problem 11e
- Problem 12
- Problem 12e
- Problem 13
- Problem 13e
- Problem 14
- Problem 14e
- Problem 15
- Problem 15e
- Problem 16
- Problem 16e
- Problem 17
- Problem 17e
- Problem 18
- Problem 18e
- Problem 19
- Problem 19e
- Problem 20
- Problem 20e
- Problem 21
- Problem 21e
- Problem 22
- Problem 22e
- Problem 23
- Problem 23e
- Problem 24
- Problem 24e
- Problem 25
- Problem 25e
- Problem 26
- Problem 27
- Problem 28
- Problem 29
- Problem 30
- Problem 31
- Problem 32
- Problem 33
- Problem 34
- Problem 35
- Problem 36
- Problem 37
- Problem 38
- Problem 39
- Problem 40
- Problem 41a
- Problem 41b
- Problem 41c
- Problem 42
- Problem 42a
- Problem 42b
- Problem 42c
- Problem 43
- Problem 44
- Problem 45
- Problem 46
- Problem 47
- Problem 48
- Problem 49
- Problem 50
- Problem 51
- Problem 51
- Problem 52a
- Problem 52b
- Problem 52c
- Problem 53a
- Problem 53b
- Problem 54
- Problem 55a
- Problem 55b
- Problem 55c
- Problem 56
- Problem 57
- Problem 58
- Problem 59
- Problem 60
- Problem 61
- Problem 62
- Problem 63
- Problem 64
- Problem 65
- Problem 66