Problem

Evaluate the integral. $ \displaystyle \int t^…

02:02

Problem 10 Easy Difficulty

Evaluate the integral.

$ \displaystyle \int \ln \sqrt{x} dx $

Answer

$$
x \ln \sqrt{x}-\frac{1}{2} x+c
$$

Topics

Integration Techniques

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 7

Techniques of Integration

Section 1

Integration by Parts

Discussion

You must be signed in to discuss.

Top Calculus 2 / BC Educators

Catherine R.

Missouri State University

Kristen K.

University of Michigan - Ann Arbor

Samuel H.

University of Nottingham

Michael J.

Idaho State University

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

Video Transcript

The problem is, if I write an integral d grow off ln future of ax the ax. But this problem we can't use the my third of the integration by parts it's a commoner is into girl off. You were from Jax. It's the culture. You I'm sweet minus into girl of you Prom the the X With this problem become you issue culture How in beautif axe that we from If you go to want then you prom is going to here They used the changeable This is motive Axe One hour due to backs terms into Girl of axe This one half terms one over Thanks This is one over to ACS Veen History Culture Thanks. We have integral Aland, your fax yaks It's the culture you temps Wien This is ex Tam's Ellen X the minus internal off you prom time speed This's what half Jax The answer is X Hammes Ellen Beautif X minus one half Sam Sachs and plus to cast the number See

WZ

Wen Z.

Topics

Integration Techniques

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 7

Techniques of Integration

Section 1

Integration by Parts

Top Calculus 2 / BC Educators

Catherine R.

Missouri State University

Kristen K.

University of Michigan - Ann Arbor

Samuel H.

University of Nottingham

Michael J.

Idaho State University