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

Find the most general antiderivative of the funct…

01:51

Question

Answered step-by-step

Problem 7 Easy Difficulty

Find the most general antiderivative of the function.
(Check your answers by differentiation.)

$ f(x) = 7x^{2/5} + 8x^{-4/5} $


Video Answer

Solved by verified expert

preview
Numerade Logo

This problem has been solved!

Try Numerade free for 7 days

Fahad Paryani
Numerade Educator

Like

Report

Textbook Answer

Official textbook answer

Video by Fahad Paryani

Numerade Educator

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

Related Courses

Calculus 1 / AB

Calculus 2 / BC

Calculus: Early Transcendentals

Chapter 4

Applications of Differentiation

Section 9

Antiderivatives

Related Topics

Derivatives

Differentiation

Volume

Discussion

You must be signed in to discuss.
Top Calculus 2 / BC Educators
Catherine Ross

Missouri State University

Caleb Elmore

Baylor University

Samuel Hannah

University of Nottingham

Joseph Lentino

Boston College

Calculus 2 / BC Courses

Lectures

Video Thumbnail

04:35

Volume - Intro

In mathematics, the volume of a solid object is the amount of three-dimensional space enclosed by the boundaries of the object. The volume of a solid of revolution (such as a sphere or cylinder) is calculated by multiplying the area of the base by the height of the solid.

Video Thumbnail

06:14

Review

A review is a form of evaluation, analysis, and judgment of a body of work, such as a book, movie, album, play, software application, video game, or scientific research. Reviews may be used to assess the value of a resource, or to provide a summary of the content of the resource, or to judge the importance of the resource.

Join Course
Recommended Videos

01:19

Find the most general anti…

01:19

Find the most general anti…

01:03

Find the most general anti…

01:07

Find the most general anti…

01:37

Find the most general anti…

01:20

Find the most general anti…

01:29

Find the most general anti…

01:20

Find the most general anti…

01:25

Find the most general anti…

01:20

Find the most general anti…

01:34

Find the most general anti…

01:19

Find the most general anti…

02:10

Find the most general anti…

Watch More Solved Questions in Chapter 4

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

Video Transcript

Okay, so we're being asked to find the most general anti druid of the function after back people seven Exeter plus eight X to the minus four shift. So if we're trying to take so essentially we're taking the integral of ethnic DX, and we're going to get some anti derivative effort back and so well, how you get FX will. First, we're gonna put this thing in the Angels of seven. Next to to the fifth plus eight eggs, your mind is forfeit. And remember that for expert and the anti driven who would just add on to the ex opponent and divide that, um, underneath the in Crete a fraction so it will be a little more clear. So, Toby seven x and you have to tell affair. And then what you're gonna do is you're going to say, plus one and all over two ships plus one as well, and it is coming for us, eh? Thanks to the mining forfeit. And there's also baby plus one over minus four fifths plus one. Okay, so when you do that, what you get where you get a good seven x to these seven fifth, so that's going to be over seventy fifth and plus, um, a ex, the one fifth over one fifth and then remembered at a constant. And then now, when you have a fraction of the numerator, you just take the reciprocal. This is going to be five over seven times seven extra seven fifty plus a fine Time's a eggs to the one fifth plus C, and then the seven cancel and then you're left with five X to the seventy fifth, twelve forty next to the one fifth twelve c, and that is your final anti derivatives.

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
180
Hosted by: Ay?Enur Çal???R
Math (Algebra 2 & AP Calculus AB) with Yovanny
Arrow icon
Participants icon
79
Hosted by: Alonso M
See More

Related Topics

Derivatives

Differentiation

Volume

Top Calculus 2 / BC Educators
Catherine Ross

Missouri State University

Caleb Elmore

Baylor University

Samuel Hannah

University of Nottingham

Joseph Lentino

Boston College

Calculus 2 / BC Courses

Lectures

Video Thumbnail

04:35

Volume - Intro

In mathematics, the volume of a solid object is the amount of three-dimensional space enclosed by the boundaries of the object. The volume of a solid of revolution (such as a sphere or cylinder) is calculated by multiplying the area of the base by the height of the solid.

Video Thumbnail

06:14

Review

A review is a form of evaluation, analysis, and judgment of a body of work, such as a book, movie, album, play, software application, video game, or scientific research. Reviews may be used to assess the value of a resource, or to provide a summary of the content of the resource, or to judge the importance of the resource.

Join Course
Recommended Videos

01:19

Find the most general antiderivative of the function. (Check your answer by di…

01:19

Find the most general antiderivative of the function. (Check your answers by …

01:03

Find the most general antiderivative of the function. (Check your answers by …

01:07

Find the most general antiderivative of the function.(Check your answer by diff…

01:37

Find the most general antiderivative of the function. (Check your answer by dif…

01:20

Find the most general antiderivative of the function. (Check your answer by dif…

01:29

Find the most general antiderivative of the function (Check your answer by dif…

01:20

Find the most general antiderivative of the function. (Check your answers by …

01:25

Find the most general antiderivative of the function. (Check your answer by dif…

01:20

Find the most general antiderivative of the function. (Check your answers by …

01:34

Find the most general antiderivative of the function. (Check your answer by dif…

01:19

Find the most general antiderivative of the function. (Check your answer by dif…

02:10

Find the most general antiderivative of the function. (Check your answer by dif…

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