Download the App!

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

Sent to:

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. $ \displayst…

00:42

Question

Answered step-by-step

Problem 26 Easy Difficulty

Evaluate the indefinite integral.

$ \displaystyle \int \frac{dx}{ax + b} $ $ (a \neq 0) $

Video Answer

Solved by verified expert

preview

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

00:58

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.

Top Calculus 1 / AB Educators

Grace He

Catherine Ross

Missouri State University

Caleb Elmore

Baylor University

Michael Jacobsen

Idaho State University

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

01:46

Evaluate the indefinite in…

05:50

Evaluate the integrals.

01:03

Evaluate the integral.
…

04:04

Evaluate the integrals.

05:49

Evaluate the integrals.

02:27

Evaluate the following int…

02:11

Evaluate the following int…

07:51

Evaluate the integral.

01:08

Evaluate the integral.
…

01:10

Evaluate the integral.
…

01:02

Evaluate the definite inte…

01:17

Evaluate the following 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

Okay. In order to evaluate this indefinite into rock, we know we can put the constant one over a We know the integral of do you over you. It's natural, all of you plus C which gives us a ex post be plugged in to the absolute values sign.

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

142

Hosted by: Ay?Enur Çal???R

Math (Algebra 2 & AP Calculus AB) with Yovanny

68

Hosted by: Alonso M

See More

Related Topics

Integrals

Integration

Top Calculus 1 / AB Educators

Grace He

Numerade Educator

Catherine Ross

Missouri State University

Caleb Elmore

Baylor University

Michael Jacobsen

Idaho State University

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

01:46

Evaluate the indefinite integral. $$ \int \frac{d x}{a x+b}(a \neq 0) $$

05:50

Evaluate the integrals. $$ \int \sin (a x) \cos (b x) d x, a \neq 0, b \neq 0 $$

01:03

Evaluate the integral. $$ \int e^{a x} d x, a \neq 0 $$

04:04

Evaluate the integrals. $$ \int x \sin (a x) d x, a \neq 0 $$

05:49

Evaluate the integrals. $$ \int e^{a x} x^{2} d x, a \neq 0 $$

02:27

Evaluate the following integrals. $$\int \frac{\ln a x}{x} d x, a \neq 0$$

02:11

Evaluate the following integrals. $$\int \frac{d x}{(x-a)(x-b)}, a \neq b$$

07:51

Evaluate the integral. $ \displaystyle \int \frac{1}{(x + a)(x + b)}\ dx $

01:08

Evaluate the integral. $$\int \frac{1}{(x+a)(x+b)} d x$$

01:10

Evaluate the integral. $$ \int \cos (a x) d x, a \neq 0 $$

01:02

Evaluate the definite integrals. $$\int_{0}^{e} a^{x} d x \quad(a>0)$$

01:17

Evaluate the following integrals. $$\int \frac{e^{x}}{a^{2}+e^{2 x}} d x, a \ne…

Additional Mathematics Questions

04:08

An ant moves across table top with coordinate system drawn on it. The rate a…

02:24

Problem Let (Ta) quantifiers:
sequence of real numbers Express the follow…

03:01

Find the exact area of the surface obtained by rotating the curve about the …

06:23

Disks of polycarbonate plastic from supplier are analyzed for scratch and sh…

02:12

Refer to the table below: Given that 2 of the 235 subjects are randomly sele…

02:18

The histogram and box plots below show the distribution of finishing times f…

02:06

Keely is planting tulips in her garden, and she has 6 yellow bulbs and 6 red…

04:40

16. At what point on the curve x-8, y = 3t, 2 = /4 is the normal plane paral…

05:08

(2 points) Two fair-die are tossed. If at least one die is odd, then the pro…

01:06

-/1,25 points SPreCalc6 7.2.001_
My Notes
Ask Your Teacher
we know …

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

Typo in question

Answer is wrong

Video playback is not visible

Audio playback is not audible

Answer is not helpful

Other

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