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Problem

Evaluate the indefinite integral. Illustrate, and…

04:23

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Problem 42 Hard Difficulty

First make a substitution and then use integration by parts to evaluate the integral.

$ \displaystyle \int \frac{\arcsin (\ln x)}{x} dx $


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Related Courses

Calculus 2 / BC

Calculus: Early Transcendentals

Chapter 7

Techniques of Integration

Section 1

Integration by Parts

Related Topics

Integration Techniques

Discussion

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MM

Michael M.

February 1, 2022

sorry my apologies i confused them not you

MM

Michael M.

January 27, 2022

making the answer wrong*

MM

Michael M.

January 27, 2022

hi, you have mixed up arcsin with inverse sin here makin

Top Calculus 2 / BC Educators
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Missouri State University

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Oregon State University

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Idaho State University

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Calculus 2 / BC Courses

Lectures

Video Thumbnail

01:53

Integration Techniques - Intro

In mathematics, integration is one of the two main operations in calculus, with its inverse, differentiation, being the other. Given a function of a real variable, an antiderivative, integral, or integrand is the function's derivative, with respect to the variable of interest. The integrals of a function are the components of its antiderivative. The definite integral of a function from a to b is the area of the region in the xy-plane that lies between the graph of the function and the x-axis, above the x-axis, or below the x-axis. The indefinite integral of a function is an antiderivative of the function, and can be used to find the original function when given the derivative. The definite integral of a function is a single-valued function on a given interval. It can be computed by evaluating the definite integral of a function at every x in the domain of the function, then adding the results together.

Video Thumbnail

27:53

Basic Techniques

In mathematics, a technique is a method or formula for solving a problem. Techniques are often used in mathematics, physics, economics, and computer science.

Join Course
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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, first make a substitution and then use integration parts. You want to go into your O. R Signed Ellen Ax ax yet with this problem First beacon light. Why is they want you? You know, in next, use this substitution we have e y is equal to one over x and this integral asleep too into girl. Oh, look, Teo Park sign. Why? Why now? We can use integration. My past You wanted this into girl Fumbler is integral. You have to be from yaks if you come too. New tax lien minus into bro. You're primetime sleeve? Yes. Now for our problem, we can lie. T yu is cultural. Och, sign. Why on will be prom? His secret. Why then new prom one over one, minus y square on the BZ. To why so this into a girl utensil. Liza wine times cock sign. Why minus in general Your prom times he says this is why over. I want my sly square. You know why now for this part we can use u substitution game light. Hey, they cut you one month's. Why square then If you seek alternative to why You know why, Zico, Why not find. Why last long into grow. Hey, Over. Yeah. This isn't wine. Fine. Why us? This is T or we can What? It's a tough, for instance, cities, one slice choirs. Those This is one minus. Why square and don't forgot us passed into number C and then this wise it could tow you in next. This's a next hams ox sign. Nice mass returns one minus. Now our necks square on us. Constant number suit.

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Top Calculus 2 / BC Educators
Catherine Ross

Missouri State University

Heather Zimmers

Oregon State University

Michael Jacobsen

Idaho State University

Joseph Lentino

Boston College

Calculus 2 / BC Courses

Lectures

Video Thumbnail

01:53

Integration Techniques - Intro

In mathematics, integration is one of the two main operations in calculus, with its inverse, differentiation, being the other. Given a function of a real variable, an antiderivative, integral, or integrand is the function's derivative, with respect to the variable of interest. The integrals of a function are the components of its antiderivative. The definite integral of a function from a to b is the area of the region in the xy-plane that lies between the graph of the function and the x-axis, above the x-axis, or below the x-axis. The indefinite integral of a function is an antiderivative of the function, and can be used to find the original function when given the derivative. The definite integral of a function is a single-valued function on a given interval. It can be computed by evaluating the definite integral of a function at every x in the domain of the function, then adding the results together.

Video Thumbnail

27:53

Basic Techniques

In mathematics, a technique is a method or formula for solving a problem. Techniques are often used in mathematics, physics, economics, and computer science.

Join Course
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First make a substitution and then use integration by parts to evaluate the int…

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First make a substitution and then use integration by parts to evaluate the int…

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First make a substitution and then use integration by parts to evaluate the int…

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First make a substitution and then use integration by parts to evaluate the int…

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First make a substitution and then use integration by parts to evaluate the int…

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