Download the App!

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

Sent to:
Search glass icon
  • Login
  • Textbooks
  • Ask our Educators
  • Study Tools
    Study Groups Bootcamps Quizzes AI Tutor iOS Student App Android Student App StudyParty
  • For Educators
    Become an educator Educator app for iPad Our educators
  • For Schools

Problem

Evaluate the indefinite integral. Illustrate and …

01:16

Question

Answered step-by-step

Problem 48 Hard Difficulty

Evaluate the indefinite integral.

$ \displaystyle \int x^3 \sqrt{x^2 + 1} \, dx $


Video Answer

Solved by verified expert

preview
Numerade Logo

This problem has been solved!

Try Numerade free for 7 days

Amrita Bhasin
Numerade Educator

Like

Report

Textbook Answer

Official textbook answer

Video by Amrita Bhasin

Numerade Educator

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

More Answers

02:56

Frank Lin

Related Courses

Calculus 1 / AB

Calculus: Early Transcendentals

Chapter 5

Integrals

Section 5

The Substitution Rule

Related Topics

Integrals

Integration

Discussion

You must be signed in to discuss.
jm

Jinglei M.

July 22, 2022

where is the "-" sign come from?

Top Calculus 1 / AB Educators
Catherine Ross

Missouri State University

Anna Marie Vagnozzi

Campbell University

Kayleah Tsai

Harvey Mudd College

Samuel Hannah

University of Nottingham

Calculus 1 / AB Courses

Lectures

Video Thumbnail

05:53

Integrals - Intro

In mathematics, an indefinite integral is an integral whose integrand is not known in terms of elementary functions. An indefinite integral is usually encountered when integrating functions that are not elementary functions themselves.

Video Thumbnail

40:35

Area Under Curves - Overview

In mathematics, integration is one of the two main operations of calculus, with its inverse operation, differentiation, being the other. Given a function of a real variable (often called "the integrand"), an antiderivative is a function whose derivative is the given function. The area under a real-valued function of a real variable is the integral of the function, provided it is defined on a closed interval around a given point. It is a basic result of calculus that an antiderivative always exists, and is equal to the original function evaluated at the upper limit of integration.

Join Course
Recommended Videos

02:05

Evaluate the indefinite in…

05:00

Evaluate the integral.

…

03:29

Evaluate the integral.

…

00:53

Evaluate the integral by m…

03:52

Evaluate the integral.

…

00:42

Evaluate the indefinite in…

02:55

Evaluate the integrals.

02:18

Evaluate the integral.

…

05:55

Evaluate the integral.

…

01:15

Evaluate the definite inte…

02:58

Evaluate the integral usin…

02:33

Find the integral of \int …

Watch More Solved Questions in Chapter 5

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
Problem 75
Problem 76
Problem 77
Problem 78
Problem 79
Problem 80
Problem 81
Problem 82
Problem 83
Problem 84
Problem 85
Problem 86
Problem 87
Problem 88
Problem 89
Problem 90
Problem 91
Problem 92
Problem 93
Problem 94

Video Transcript

This is the integral we are trying to integrate, which means that we know that you can beat the inside of the square root betweens writing this detox, the derivative is do you over to X and the derivative of one is simply Xerox. It's constant. Therefore, now we can write this oz 1/2 because it's the constant. So it goes on the outside. Integrate us. Remember the exponents increased by one divide by the exponents. This is the power rule outlined in the textbook back. Substitute us X squared plus one. And don't forget your pussy.

Get More Help with this Textbook
James Stewart

Calculus: Early Transcendentals

View More Answers From This Book

Find Another Textbook

Study Groups
Study with other students and unlock Numerade solutions for free.
Math (Geometry, Algebra I and II) with Nancy
Arrow icon
Participants icon
162
Hosted by: Ay?Enur Çal???R
Math (Algebra 2 & AP Calculus AB) with Yovanny
Arrow icon
Participants icon
70
Hosted by: Alonso M
See More

Related Topics

Integrals

Integration

Top Calculus 1 / AB Educators
Catherine Ross

Missouri State University

Anna Marie Vagnozzi

Campbell University

Kayleah Tsai

Harvey Mudd College

Samuel Hannah

University of Nottingham

Calculus 1 / AB Courses

Lectures

Video Thumbnail

05:53

Integrals - Intro

In mathematics, an indefinite integral is an integral whose integrand is not known in terms of elementary functions. An indefinite integral is usually encountered when integrating functions that are not elementary functions themselves.

Video Thumbnail

40:35

Area Under Curves - Overview

In mathematics, integration is one of the two main operations of calculus, with its inverse operation, differentiation, being the other. Given a function of a real variable (often called "the integrand"), an antiderivative is a function whose derivative is the given function. The area under a real-valued function of a real variable is the integral of the function, provided it is defined on a closed interval around a given point. It is a basic result of calculus that an antiderivative always exists, and is equal to the original function evaluated at the upper limit of integration.

Join Course
Recommended Videos

02:05

Evaluate the indefinite integral. $$\int \frac{x^{3}}{\sqrt{x^{2}+1}} d x$$

05:00

Evaluate the integral. $ \displaystyle \int \frac{1}{x^3 \sqrt{x^2 - 1}}\ dx…

03:29

Evaluate the integral. $ \displaystyle \int \frac{\sqrt{x}}{1 + x^3}\ dx $

00:53

Evaluate the integral by making the given substitution. $ \displaystyle \in…

03:52

Evaluate the integral. $ \displaystyle \int_1^{\sqrt{3}} \frac{\sqrt{1 + x^2…

00:42

Evaluate the indefinite integral. $ \displaystyle \int x \sqrt{1 - x^2} \, d…

02:55

Evaluate the integrals. $$ \int \frac{x^{3}}{\sqrt{1+x^{2}}} d x $$

02:18

Evaluate the integral. $ \displaystyle \int \frac{x}{\sqrt{1 + x^2}}\ dx $

05:55

Evaluate the integral. $ \displaystyle \int \frac{\sqrt{1 + x^2}}{x}\ dx $

01:15

Evaluate the definite integral. $\int_{1}^{\sqrt{3}} \frac{d x}{x^{2}+1}$

02:58

Evaluate the integral using integration of parts: ʃ x^3 √ (x^2 + 4 ) dx

02:33

Find the integral of \int \:x^3\sqrt{x^2+4dx}
Additional Mathematics Questions

01:59

a) List the open interval(s) on which the function is increasing Select the …

01:41

Question 5
2 pts
A student says that if a study concludes that there i…

02:56

Single adults: According to Pew Research Center analysis of census data, in …

04:51

If a variable has a distribution that is bell-shaped with mean 16 and standa…

03:39

rectangular box with a square base, an open top, and a volume of 216m3 js to…

01:52

MAT311 chapter three homework
The table shows the number {in thousands} o…

05:21

(2) A linear transformation T Pz(R) M2x2' (R) is defined as follows: fo…

02:21

Question 2 (1 point) Human blood is grouped into four types The percentages …

01:59

Question 9 (1 point) On a TV game show, contestant is shown products from gr…

01:57

Graphs of the velocity functions of two particles are shown_ where is measur…

Add To Playlist

Hmmm, doesn't seem like you have any playlists. Please add your first playlist.

Create a New Playlist

`

Share Question

Copy Link

OR

Enter Friends' Emails

Report Question

Get 24/7 study help with our app

 

Available on iOS and Android

About
  • Our Story
  • Careers
  • Our Educators
  • Numerade Blog
Browse
  • Bootcamps
  • Books
  • Notes & Exams NEW
  • Topics
  • Test Prep
  • Ask Directory
  • Online Tutors
  • Tutors Near Me
Support
  • Help
  • Privacy Policy
  • Terms of Service
Get started