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 integral. $ \displaystyle \int te^{…

01:31

Question

Answered step-by-step

Problem 4 Easy Difficulty

Evaluate the integral.

$ \displaystyle \int ye^{0.2y} dy $


Video Answer

Solved by verified expert

preview
Numerade Logo

This problem has been solved!

Try Numerade free for 7 days

Mary Wakumoto
Numerade Educator

Like

Report

Textbook Answer

Official textbook answer

Video by Mary Wakumoto

Numerade Educator

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

More Answers

04:25

SL

Sky Li

Related Courses

Calculus 2 / BC

Calculus: Early Transcendentals

Chapter 7

Techniques of Integration

Section 1

Integration by Parts

Related Topics

Integration Techniques

Discussion

You must be signed in to discuss.
SM

Siev M.

August 31, 2020

How did you get Y= 5x?

Top Calculus 2 / BC Educators
Anna Marie Vagnozzi

Campbell University

Kayleah Tsai

Harvey Mudd College

Samuel Hannah

University of Nottingham

Joseph Lentino

Boston College

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

02:54

Evaluate the integral.

…

07:31

Evaluate the integral.

…

01:04

Evaluate the integral.
…

02:11

Evaluate the integral.

…

00:45

Evaluate the integral.

02:49

Evaluate the integral.

…

03:47

Evaluate the integrals.

05:16

Evaluate the integral.

…

00:53

Evaluate the indefinite in…

06:45

Evaluate the integral.
…

01:18

Evaluate the integral.
…

02:50

Evaluate the integral.

05:56

Evaluate the integrals usi…

01:03

Evaluate the integral.
…

09:56

Evaluate the integral.

…

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

Video Transcript

Alright. We have a fun inner girl to solve. We could solve it by integration by parts. But this is a perfect one to instead use tabular tabular integration. Tabular integration. So the way it works is you put the function whose derivative would become zero eventually on the left And then we go ahead and take its derivatives. A derivative of Y. Is one. And then we get zero. And then the other function has to be one. We can take anti derivative. So we will take the anti derivative which will look like itself divided by um chain roles. So divided by .2 and then I'll take the anti derivative one more time. I will get E. To the 0.2 Y divided by 0.2 again. So .2 squared. And I can clean this up this by the way is probably easier. If I divide by 1/5. It's really five. Even 0.2 Y. It's a little bit nicer to read. And this then is five squared or 25. It's 0.2. What? Alright, so tabular integration, you do diagonals. This first one's plus the second one is minus. So are integral then equals Y. Times five E. To the 0.2. Why? Minus 25 e. two. 0.2. Why? And we can't forget plus C. And that is our solution. They did kind of clean it up a little bit. So let's try to get in the form they have. If you pull out of 25 then you get y over five E. To the 0.2 Y minus E. 20.2. Why? And um I think the only difference that they have is there still a plus C. I do believe they just wrote that 1/5 as a 0.2. So if you want to look like their official solutions it looks like this. Um Whoops. Um I lost the exponential scope back. Um So we'll get it just like their form Why? Eat at a 0.2 Y -0.2. Why? And I believe now we have the form. Oh they did one more thing, they factored out either factored out to the 0.2 Y. So let's do that. That leaves behind 0.2 y minus one. There we go. Now we have pretty close to the form of the solution already. Hopefully that helped have a fantastic day.

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
63
Hosted by: Ay?Enur Çal???R
Math (Algebra 2 & AP Calculus AB) with Yovanny
Arrow icon
Participants icon
42
Hosted by: Alonso M
See More

Related Topics

Integration Techniques

Top Calculus 2 / BC Educators
Anna Marie Vagnozzi

Campbell University

Kayleah Tsai

Harvey Mudd College

Samuel Hannah

University of Nottingham

Joseph Lentino

Boston College

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

02:54

Evaluate the integral. $ \displaystyle \int ye^{0.2y} dy $

07:31

Evaluate the integral. $ \displaystyle \int_0^2 y \sinh y dy $

01:04

Evaluate the integral. $$ \int y e^{-y} d y $$

02:11

Evaluate the integral. $ \displaystyle \int_{-1}^1 \frac{e^{\arctan y}}{1 + …

00:45

Evaluate the integral. $ \displaystyle \int^3_1 \frac{y^3 - 2y^2 - y}{y^2} …

02:49

Evaluate the integral. $ \displaystyle \int_1^4 \sqrt{y} \ln y\ dy $

03:47

Evaluate the integrals. $\int e^{-y} \cos y d y$

05:16

Evaluate the integral. $ \displaystyle \int \frac{y}{(y + 4)(2y - 1)}\ dy $

00:53

Evaluate the indefinite integral. $ \displaystyle \int y^2 (4 - y^3)^{2/3} \…

06:45

Evaluate the integral. $\int_{0}^{1} \frac{y}{e^{2 y}} d y$

01:18

Evaluate the integral. $$\int_{0}^{x^{3}} y e^{-y / x} d y$$

02:50

Evaluate the integral. $ \displaystyle \int^{4}_{1} \frac{\sqrt{y} - y}{y^2…

05:56

Evaluate the integrals using integration by parts. $$ \int e^{-y} \cos y d y …

01:03

Evaluate the integral. $$\int_{x}^{x^{2}} \frac{y}{x} d y$$

09:56

Evaluate the integral. $ \displaystyle \int_1^2 \frac{4y^2 - 7y - 12}{y (y +…
Additional Mathematics Questions

08:41

'Prove that an operator T is invertible if and only if either T is one-…

03:42

'point)
A plane is flying at an elevation of 27000 feet:
It is wi…

02:53

'Pago
0f 3
ZOOM
Researchers at the University of Florida Colle…

01:07

'Problem 3:_Bayesian ranking
Suppose there are 50 ratings for all pr…

03:52

'4.74 People with 0 blood are called universal donors because they may …

00:33

'Calculate the total area of the region described: Do not count area be…

01:39

'The cost, in millions of dollars
30-second television ad during the…

01:53

'A boat is being pulled toward dock as shown in the figure to the right…

03:05

'102_ Electric Cars. In terms of energy required to drive any par- ticu…

02:07

'Complete parts and
Compute the area of the shaded region using simp…

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
  • Topics
  • Test Prep
  • Ask Directory
  • Online Tutors
  • Tutors Near Me
Support
  • Help
  • Privacy Policy
  • Terms of Service
Get started