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 general indefinite integral. Illustrate …

01:19

Question

Answered step-by-step

Problem 19 Easy Difficulty

Find the general indefinite integral. Illustrate by graphing several members of the family on the same screen.

$ \displaystyle \int \biggl( \cos x + \frac{1}{2}x \biggr) \,dx $


Video Answer

Solved by verified expert

preview
Numerade Logo

This problem has been solved!

Try Numerade free for 7 days

Gregory Higby
Numerade Educator

Like

Report

Textbook Answer

Official textbook answer

Video by Gregory Higby

Numerade Educator

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

More Answers

00:35

Frank Lin

00:37

Amrita Bhasin

Related Courses

Calculus 1 / AB

Calculus: Early Transcendentals

Chapter 5

Integrals

Section 4

Indefinite Integrals and the Net Change Theorem

Related Topics

Integrals

Integration

Discussion

You must be signed in to discuss.
Top Calculus 1 / AB Educators
Kayleah Tsai

Harvey Mudd College

Samuel Hannah

University of Nottingham

Michael Jacobsen

Idaho State University

Joseph Lentino

Boston College

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

02:02

Find the general indefinit…

01:19

Find the general indefinit…

03:05

Find the general indefinit…

00:45

Find the general indefinit…

00:40

$19-20$ Find the general i…

00:39

$19-20$ Find the general i…

01:48

Evaluate the definite inte…

03:08

Evaluate the integral.

…

00:43

Evaluate the indefinite in…

01:19

Evaluate the indicated 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

Video Transcript

uh we're asked to find the anti derivative of co sign effects plus one half X. Dx. And you could memorize rules because I have some students that have to memorize what they intend derivative of coastline is. But to me I just think about or what derivative, well uh something would give me co sign positive coastline and that answer is positive sign. So I have correctly done that one. And then just remember that you add one to your experiment and you multiply by the reciprocal of that exponents. So in about one half times one half, Which I know is 1/4. And I just need to remember about your plus C. So this is your correct answer and can double check that's correct by taking the derivative of them. Is it true that the derivative of Sinus Cosan? Yeah. Is it true that the derivative a warm fourth X. Squared is one fx. Yet. Is it true that the derivative of a constant zero which we don't right up here. But it is. So we have the correct answer.

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
Kayleah Tsai

Harvey Mudd College

Samuel Hannah

University of Nottingham

Michael Jacobsen

Idaho State University

Joseph Lentino

Boston College

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

02:02

Find the general indefinite integral. Illustrate by graphing several members of…

01:19

Find the general indefinite integral. Illustrate by graphing several members of…

03:05

Find the general indefinite integral. Illustrate by graphing several members of…

00:45

Find the general indefinite integral. Illustrate by graphing several members of…

00:40

$19-20$ Find the general indefinite integral. Illustrate by graphing several me…

00:39

$19-20$ Find the general indefinite integral. Illustrate by graphing several me…

01:48

Evaluate the definite integral. Use a graphing utility to verify your result. $…

03:08

Evaluate the integral. $ \displaystyle \int \sin x cos \left (\frac{1}{2} x …

00:43

Evaluate the indefinite integral. $ \displaystyle \int \frac{\sin x}{1 + \c…

01:19

Evaluate the indicated integral. $$\int \frac{\cos (1 / x)}{x^{2}} d x$$
Additional Mathematics Questions

02:53

What are the horizontal and vertical asymptotes for You may simply state wha…

05:53

Sx - 120 Given flx) = (x -104)
() The function flx) has Local

02:20

Type or paste question here

Initially 98 grams of radioactive substa…

04:18

Sketch the region enclosed by the given curves. Decide whether to i…

01:32

7. A cylindrical can is to be constructed from 50 in of aluminum (t…

03:05

Find the point(s) on the graph of f where the tangent line is horiz…

03:34

20. Find the equation of the tangent line to the graph of the curve…

02:30

Arancher has 400 ft of fence for constructing corral will be formed by a bar…

08:43

Use polar coordinates to evaluate the double integral sin(2? +y7) dA, where …

02:26

Complete the square and find the maximum value of h.
h(z) -3z2 +…

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