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

Sketch the region and find its area (if the area …

02:06

Question

Answered step-by-step

Problem 44 Hard Difficulty

Sketch the region and find its area (if the area is finite).

$ S = \{ (x, y) \mid x \ge 0, 0 \le y \le xe^{-x} \} $


Video Answer

Solved by verified expert

preview
Numerade Logo

This problem has been solved!

Try Numerade free for 7 days

WZ
Wen Zheng
Numerade Educator

Like

Report

Textbook Answer

Official textbook answer

Video by Wen Zheng

Numerade Educator

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

Related Courses

Calculus 2 / BC

Calculus: Early Transcendentals

Chapter 7

Techniques of Integration

Section 8

Improper Integrals

Related Topics

Integration Techniques

Discussion

You must be signed in to discuss.
Top Calculus 2 / BC Educators
Grace He
Heather Zimmers

Oregon State University

Kristen Karbon

University of Michigan - Ann Arbor

Samuel Hannah

University of Nottingham

Calculus 2 / BC Courses

Lectures

Video Thumbnail

01:53

Integration Techniques - Intro

In mathematics, integration is one of the two main operations in calculus, with its inverse, differentiation, being the other. Given a function of a real variable, an antiderivative, integral, or integrand is the function's derivative, with respect to the variable of interest. The integrals of a function are the components of its antiderivative. The definite integral of a function from a to b is the area of the region in the xy-plane that lies between the graph of the function and the x-axis, above the x-axis, or below the x-axis. The indefinite integral of a function is an antiderivative of the function, and can be used to find the original function when given the derivative. The definite integral of a function is a single-valued function on a given interval. It can be computed by evaluating the definite integral of a function at every x in the domain of the function, then adding the results together.

Video Thumbnail

27:53

Basic Techniques

In mathematics, a technique is a method or formula for solving a problem. Techniques are often used in mathematics, physics, economics, and computer science.

Join Course
Recommended Videos

01:56

Sketch the region and find…

01:40

Sketch the region and find…

01:53

Sketch the region and find…

05:02

Sketch the region and find…

06:53

Sketch the region and find…

01:45

Sketch the region and find…

02:29

Sketch the region and find…

Watch More Solved Questions in Chapter 7

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

Video Transcript

the problem is sketch the region and find its area. Look at this graph we need to find It's the roof area off. It's a shady depart this part we can use and grow from the road to sanity of it X temps in connected last e x to denounce area on this part. But this improper, integral. But that mission, this is equal to the limit. It goes to infinity into go from zero to a ex Thames into make two blacks. Yes, we computed this definite integral first for this death it into zero. We used my third off integration, My parse. This is equal chewed into girl from there to a thanks. The conectiv in tow make you x use the my third wind charisma. Pars, this is Echo two ex rams. Negative, you two. Next, Lex. From zero to a minus into door from zero to a negative to make you X. Yes, thiss is a culture plugging a zero to this function. Is that control connective? A ham too, Next to fade minus zero. Minus the class. My last month in the class into your off into Mickey Lax from there to a Zico connective eh into negative, eh? Maya's Tio? Maybe to us from zero. Since this is Echo Two negative, eh? Into the night away minus into negative, eh? Minus into make two zero minus one. There's someone I want a goes toe infinity! It's what it goes to zero. This part also goes to D'Oh. What's this one? You can use the limit. It goes to zero. This negative a over into a Now it goes toe infinity and then use a bean Has rules. This is culture. Damn It makes you want over you too, eh? It goes to infinity. This is gusto. Here. His answer is is zero minus Make to want. So this is you. Go to one. His area of this region is equal to one.

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
126
Hosted by: Ay?Enur Çal???R
Math (Algebra 2 & AP Calculus AB) with Yovanny
Arrow icon
Participants icon
62
Hosted by: Alonso M
See More

Related Topics

Integration Techniques

Top Calculus 2 / BC Educators
Grace He

Numerade Educator

Heather Zimmers

Oregon State University

Kristen Karbon

University of Michigan - Ann Arbor

Samuel Hannah

University of Nottingham

Calculus 2 / BC Courses

Lectures

Video Thumbnail

01:53

Integration Techniques - Intro

In mathematics, integration is one of the two main operations in calculus, with its inverse, differentiation, being the other. Given a function of a real variable, an antiderivative, integral, or integrand is the function's derivative, with respect to the variable of interest. The integrals of a function are the components of its antiderivative. The definite integral of a function from a to b is the area of the region in the xy-plane that lies between the graph of the function and the x-axis, above the x-axis, or below the x-axis. The indefinite integral of a function is an antiderivative of the function, and can be used to find the original function when given the derivative. The definite integral of a function is a single-valued function on a given interval. It can be computed by evaluating the definite integral of a function at every x in the domain of the function, then adding the results together.

Video Thumbnail

27:53

Basic Techniques

In mathematics, a technique is a method or formula for solving a problem. Techniques are often used in mathematics, physics, economics, and computer science.

Join Course
Recommended Videos

01:56

Sketch the region and find its area (if the area is finite). $ S = \{ (x, y)…

01:40

Sketch the region and find its area (if the area is finite). $ S = \{ (x, y)…

01:53

Sketch the region and find its area (if the area is finite). $$S=\{(x, y) | x …

05:02

Sketch the region and find its area (if the area is finite). $$S=\{(x, y) | x …

06:53

Sketch the region and find its area (if the area is finite). $ S = \{ (x, y)…

01:45

Sketch the region and find its area (if the area is finite). $S=\{(x, y) | x \…

02:29

Sketch the region and find its area (if the area is finite). $$S=\{(x, y) | x …
Additional Mathematics Questions

02:02

3-b. A stone is thrown vertically upward with a velocity of 40 m/s. What is …

03:03

In a Piggy Bank the number of 25 paise coins are five times the number of 50…

01:43

If two different dices rolled together calculate probablity of even number o…

01:21

A sample data set with a mean of 685 and a standard deviation of 39.8 has a …

02:30

A floral design on a floor is made up of 16 tiles which are triangular the s…

01:02

Find the dimensions of the cuboid which are in the ratio5:3:1 and its total …

02:57

Man has rope of length 660 mtr to fence a area , what is the max area he can…

02:15

When a certain number is multiplied by 7, the product consists entirely of f…

02:24

Find the mean of all prime numbers between 50 and 80

02:34

find zeros of polynomial P(x) = 6x square - 19 X + 15 verify the relationsh…

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