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Problem

Evaluate the integral. $ \displaystyle \int_0^…
04:26

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Problem 27 Medium Difficulty

Evaluate the integral.

$ \displaystyle \int_1^5 \frac{\ln R}{R^2} dR $

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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

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Top Calculus 2 / BC Educators
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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
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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 you wanted the integral Integral from one to five. L and R or R squared D r For this problem, we can use my third of the integration by parts common. It is into girl from A to B. You have released from yaks. It's a call to you'd have screamed roommate being minus into girl from a to B you prom? Absolutely. Yaks. Now for our problem, we can like you. Is the coat too? How in and re prime is O'Toole one over. Uh, square. Then you prom this Rico to one over our arm. And we It's the code to negative. I wanna know where r now this into girl is you go to about this formula to city photo. You damn Swede! This's negative one or we are ums when are from one to five minus integral from one toe. Five. You promised me that this is negative one over our square. We are This is the coach. So for the first two term line five to one from crying foul and want Teo, are we have This is negative, Alan, Five oh five and minus zero. Second term is plus into peril of one of our squire's. This's negative one over R from one to five. This is a country negative. Our style over five class negative one over five minus Meg to Juan. The author is negative now and over a five class whom you are.

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Related Topics

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Top Calculus 2 / BC Educators
Grace He

Numerade Educator

Catherine Ross

Missouri State University

Caleb Elmore

Baylor 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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03:17

Evaluate the integral. $\int_{1}^{5} \frac{\ln R}{R^{2}} d R$

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Evaluate the integrals. $$\int r^{2}\left(\frac{r^{3}}{18}-1\right)^{5} d r$$

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Evaluate the integrals $$ \int_{1}^{-1}(r+1)^{2} d r $$

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Evaluate the integrals. $$\int_{1}^{-1}(r+1)^{2} d r$$

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Evaluate. $$\int_{-1}^{1} \frac{r}{\left(1+r^{2}\right)^{4}} d r$$

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Evaluate the integral. $\int r e^{r / 2} d r$

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Evaluate the integral. $ \displaystyle \int_1^5 \frac{\ln R}{R^2} dR $
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