Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Question

Answered step-by-step

Evaluate the integral.

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

Video Answer

Solved by verified expert

This problem has been solved!

Try Numerade free for 7 days

Like

Report

Official textbook answer

Video by Wen Zheng

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Calculus 2 / BC

Chapter 7

Techniques of Integration

Section 1

Integration by Parts

Integration Techniques

Missouri State University

Baylor University

Boston College

Lectures

01:53

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.

27:53

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

03:17

Evaluate the integral.…

01:47

Evaluate the integrals.

00:36

Evaluate the integrals…

01:48

02:29

Find the integrals.$\i…

01:13

Evaluate the indefinite in…

04:08

01:18

03:30

Evaluate.$$\int_{-1}^{…

02:55

03:19

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.

View More Answers From This Book

Find Another Textbook

01:34

Brand Advertising is offered a 3/10 net 40 trade discount by its supplier. I…

04:32

A large department store is curious about what sections of the store make th…

02:50

1.Doll B costs 23% less than Doll A. Doll A costs 28% more than Doll C. Whic…

01:43

Recent studies have investigated the human need for instant gratification an…

03:51

The demand for the video games provided by Mid-Tech Video Games Incorporated…

02:33

In the 2016 election, 30 states went to the Republican candidate and 20 stat…

02:44

What percentage of bottom freezers cost more than $60 per year to operate? W…

04:07

Question #4The following data lists the ages of a random selection of actres…

04:46

A 92% confidence interval for a population mean is given as (28.341,32.131).…

05:26

1. Suppose you convert the cost of the rides from dollars to cents ( $1=100 …