Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Get the answer to your homework problem.

Like

Report

Make the given changes in the indicated examples of this section and then solve the given problems.In Example $3,$ change $\ln x$ to $\ln x^{2}$ and then integrate.

Calculus 1 / AB

Chapter 28

Methods of Integration

Section 1

The General Power Formula

Integrals

Missouri State University

University of Michigan - Ann Arbor

University of Nottingham

Idaho State University

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

03:18

Evaluate the integrals by …

01:27

05:13

Use integration by parts, …

02:16

01:21

05:52

Evaluate $\int \frac{(\ln …

00:43

Evaluate each integral by …

02:31

01:39

02:33

in this question we're integrating this expression we respect to X. There are a couple weeks to integrate this. But for this topic we're using substitution method and the integration power rule for the power rule. Don't come back when we're integrating you to power and we respect to you you will get you to power and plus one we add one to the power and divide by the new power. Plus C. Don't forget the plus C. Because this is an indefinite integral. Let's let the expression here, we can simplify la next square by bringing down the power to over here. So that's what we'll do. It will be too long X. One over X. G X. Yes. Yeah. Now let you'll be one X. So do you over the X Is one over X. So the U. Is one over X. D. X. So this part here is the you So now we can bring out our tool because it's multiplied to the expression so this constant can be brought up. So it's equals to two. Integration on our long X. Is you So it's you. And this part here is the you. Now we can use our power rule over here. Now this is usual power one. So when we integrate it it will be you to a power one plus one over the new power one plus one and we at the sea. So it's this cancels out with the denominator. So we have you square plus see now we cannot leave our answering you because we're expected to integrate respect to X. So it's equals two. Now you is long X. So we'll have long X. Square plus C. This is our final answer.

View More Answers From This Book

Find Another Textbook

In mathematics, precalculus is the study of functions (as opposed to calculu…

In mathematics, a function (or map) f from a set X to a set Y is a rule whic…

Evaluate the integrals by making appropriate u-substitutions and applying th…

Evaluate the integrals by making appropriate $u$ -substitutions and applying…

Use integration by parts, together with the techniques of this section, to e…

Evaluate $\int \frac{(\ln x)^{2} d x}{x^{2}} .$ Hint: Use substitution first…

Evaluate each integral by first modifying the form of the integrand and then…

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.