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

(a) Use the reduction formula in Example 6 to sho…

09:56

Question

Answered step-by-step

Problem 46 Hard Difficulty

Evaluate the indefinite integral. Illustrate, and check that your answer is reasonable, by graphing both the function and its antiderivative (take $ C = 0 $).

$ \displaystyle \int x^2 \sin 2x dx $


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 1

Integration by Parts

Related Topics

Integration Techniques

Discussion

You must be signed in to discuss.
Top Calculus 2 / BC Educators
Kayleah Tsai

Harvey Mudd College

Kristen Karbon

University of Michigan - Ann Arbor

Michael Jacobsen

Idaho State University

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

07:15

Evaluate the indefinite in…

05:18

Evaluate the indefinite in…

01:46

Evaluate the indefinite in…

01:59

Evaluate the indefinite in…

01:26

Evaluate the indefinite in…

04:23

Evaluate the indefinite in…

04:11

Evaluate the indefinite in…

01:16

Evaluate the indefinite in…

01:16

Evaluate the indefinite in…

0:00

Evaluate the indefinite in…

06:02

Evaluate the indefinite in…

06:20

Evaluate the indefinite in…

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

The problem is, you violated the definite, integral, illustrate and the check that your answer is reasonable. I crafting post function and its anti hero tive integral is into girl X X squared sine two ox. Next. But this problem with youse the integration by parts armor is internal of you being from the axe. It's the control New taps we wyness integral. You crime being Jax for our problem. We cannot. You asleep too? Explain. Had to be prom too fine to ACS then you promise they call to us. Hey, negative half call. Sign to ACS now. Just integral is Nico too. You can make use of this invective, huh? X squared times cause I two eyes and Linus into your prom perhaps we So this is class, Ext Eme Siecle. Sign two lakhs. Now for this integral. You can use your tickle rich in my purse looking like you is goto ice. No problem. I think for two. Sign to ACS. Then you promise one B is half fine. Two blocks. This is don't make half X squared. Co sign to lax. Plus you'd have sleaze. O, This is one half like Signe you like Linus into you're primetime sleaze, this one half fine. She likes the X. This is a call to makes you half X squared. Kasai q X plus one, no half x times, sine Teo arcs and plus my force Well, fine to life and plus to cast in the number C. This is an anti derivative. Off the function. Explain hams. Sign to ACS now by using some graphing tours. Weaken jowls of quaff off this two functions as follows. So Blue John is anti Semitic of the light curve, right? Like mad. Cute. Now is the test. The determinative of the blue Juan is right a while, so the while you have the right kids at some point is exactly the slope of a tanned in the line after the blue curve. At this point, now that's compile the Wadi off. Why? So why do you offer gliding curve? And it's a slowpoke tannin line. Have support. Okay, we can't see CIA to seem so Let's see when Axe goes from negative to to To slo por tan in a line of blow care goes from passive to zero. Two negative zero and two positive to zero Conectiv, and it's a while Yu off right accretive goes from passive to zero negative to their own positive zero intellect it So you have to sing. So our is out is reasonable.

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
Kayleah Tsai

Harvey Mudd College

Kristen Karbon

University of Michigan - Ann Arbor

Michael Jacobsen

Idaho State University

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

07:15

Evaluate the indefinite integral. Illustrate, and check that your answer is rea…

05:18

Evaluate the indefinite integral. Illustrate, and check that your answer is rea…

01:46

Evaluate the indefinite integral. Illustrate, and check that your answer is rea…

01:59

Evaluate the indefinite integral. Illustrate and check that your answer is reas…

01:26

Evaluate the indefinite integral. Illustrate and check that your answer is reas…

04:23

Evaluate the indefinite integral. Illustrate, and check that your answer is rea…

04:11

Evaluate the indefinite integral. Illustrate, and check that your answer is rea…

01:16

Evaluate the indefinite integral. Illustrate and check that your answer is reas…

01:16

Evaluate the indefinite integral. Illustrate and check that your answer is reas…

0:00

Evaluate the indefinite integral. Illustrate, and check that your answer is rea…

06:02

Evaluate the indefinite integral. Illustrate, and check that your answer is rea…

06:20

Evaluate the indefinite integral. Illustrate, and check that your answer is rea…
Additional Mathematics Questions

01:25

'11. Find the area of the shaded region A shown in the figure below:

02:47

'ULTU.
What is the volume of the shaded portion of the composite fig…

01:44

'TIME REMAIN 02.39.2
Helen has 48 cubic inches of clay to make a sol…

02:20

'TIME 02:
A cone has a circular base with a diameter of 18 inches. T…

05:07

'QUESTION 9
IfA(-9,3) and B(-1, 1), write the " equation of the…

09:32

'A box is packed with 16 soda cans as shown (only part of the box is sh…

05:15

'8.4 A random variable is uniformly distributed between 100 and 150. a.…

01:43

'8. Translate these statements into English: where R(x) is "x is a…

02:18

'XYZ Bakery ask customers to rank a new pastry being introduced with (1…

02:05

'Begin by graphing the absolute value function, f(x) = |xl - Then use t…

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