Problem

Determine whether each integral is convergent or …

03:30

Problem 22 Medium Difficulty

Determine whether each integral is convergent or divergent. Evaluate those that are convergent.

$ \displaystyle \int_1^\infty \frac{\ln x}{x^2}\ dx $

Answer

Converges to 1

Topics

Integration Techniques

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 7

Techniques of Integration

Section 8

Improper Integrals

Discussion

You must be signed in to discuss.

Top Calculus 2 / BC Educators

Anna Marie V.

Campbell University

Heather Z.

Oregon State University

Kristen K.

University of Michigan - Ann Arbor

Joseph L.

Boston College

Watch More Solved Questions in Chapter 7

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

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 41

Problem 42

Problem 43

Problem 44

Problem 45

Problem 46

Problem 47

Problem 48

Problem 49

Problem 50

Problem 51

Problem 52

Problem 53

Problem 54

Problem 55

Problem 56

Problem 57

Problem 58

Problem 59

Problem 60

Problem 61

Problem 62

Problem 63

Problem 64

Problem 65

Problem 66

Problem 67

Problem 68

Problem 69

Problem 70

Problem 71

Problem 72

Problem 73

Problem 74

Problem 75

Problem 76

Problem 77

Problem 78

Problem 79

Problem 80

Problem 81

Problem 82

Video Transcript

The problem is determined why the rich in general is converted where that wouldn't and the evaluated those that are converted. This improbability girl, by definition, this is the coach is the limit. It goes to infinity and into girl from a one way or the function on X over square DX we computed the definite integral first for this definite integral. This is going to so here we use my third off the integration by powers. It's legal tool one from one twe. The function is our necks and he make you wanna rags. This is your cut. They go to our necks. Um negative one. Iraq's from one way minus and to go one too, eh? Of the function Negative one over. Axe Ham's one over X the axe. Here we use my third of the integration by parts thiss if you call Tio ex making one arrives from want, eh? Minus off here we can run past into girl from want, eh? One over X square, The ex? Yeah, loving A and one just two functions. This is equal to l N A. Um name one over, eh? Minus zero us. Second part is next. You want over ice from one too, eh? This is ICO too. I went, eh? Make you wanna write a us? I need to find Dover. Hey, Minus Nick. Do you want? When a goes to infinity, his function goes to zero. Andi disfunction also goes to zero. The answer is one this improper integral is converted. And then why There was one.

WZ

Wen Z.

Topics

Integration Techniques

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 7

Techniques of Integration

Section 8

Improper Integrals

Top Calculus 2 / BC Educators

Anna Marie V.

Campbell University

Heather Z.

Oregon State University

Kristen K.

University of Michigan - Ann Arbor

Joseph L.

Boston College