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

Use (a) the Trapezoidal Rule, (b) the Midpoint Ru…

01:25

Question

Answered step-by-step

Problem 6 Medium Difficulty

Use (a) the Midpoint Rule and (b) Simpson's Rule to approximate the given integral with the specified value of $ n $. (Round your answers to six decimal places.) Compare your results to the actual value to determine the error in each approximation.

$ \displaystyle \int_0^\pi x cos x\ dx $ , $ n = 4 $


Video Answer

Solved by verified expert

preview
Numerade Logo

This problem has been solved!

Try Numerade free for 7 days

Yuou Sun
Numerade Educator

Like

Report

Textbook Answer

Official textbook answer

Video by Yuou Sun

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 7

Approximate Integration

Related Topics

Integration Techniques

Discussion

You must be signed in to discuss.
Top Calculus 2 / BC Educators
Catherine Ross

Missouri State University

Heather Zimmers

Oregon State University

Kayleah Tsai

Harvey Mudd College

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

15:45

Use (a) the Midpoint Rule …

02:01

Use (a) the Midpoint Rule …

10:05

Use (a) the Midpoint Rule …

15:22

Use (a) the Midpoint Rule …

21:31

Use (a) the Midpoint Rule …

00:36

Use (a) the Trapezoidal Ru…

19:10

Use (a) the Midpoint Rule …

14:10

Use (a) the Trapezoidal Ru…

03:41

Use (a) the Trapezoidal Ru…

12:29

Use (a) the Trapezoidal Ru…

00:36

Use (a) the Trapezoidal Ru…

08:29

Use (a) the Trapezoidal Ru…

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

Video Transcript

Okay, Problem sakes. You need a calculator to calculate this. First you need to catch this guy, Isaac. Go to minus two. And And if you go too far so you decided the intro into four pieces. Uh, this is or pie. This is tour pie. This is Bye. This is pie, right? And if you want to calculate an a mystical toe, the tirade. Ah, this point just this point at this point. But that that seems, uh, into all the leads up into Roy's by over or after a calculation, because find a and it's equal to minus 1.94544 uh, s what he's asked, the tax is pi minus zero, divided by four. So his pi work for and at zero is zero x four is hi eggs. That's one is ah, power for an X three is high over three times pi over four, right? Just technically everything. And you can get acts. It's equal to one minus 1.9 a 56 I Why? What as era e m is people toe I minus on this calculate, right? Ah, yes. He's got to go. I minus. That's that's all

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
127
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
Catherine Ross

Missouri State University

Heather Zimmers

Oregon State University

Kayleah Tsai

Harvey Mudd College

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

15:45

Use (a) the Midpoint Rule and (b) Simpson's Rule to approximate the given integ…

02:01

Use (a) the Midpoint Rule and (b) Simpson's Rule to approximate the given integ…

10:05

Use (a) the Midpoint Rule and (b) Simpson's Rule to approximate the given integ…

15:22

Use (a) the Midpoint Rule and (b) Simpson's Rule to approximate the given integ…

21:31

Use (a) the Midpoint Rule and (b) Simpson's Rule to approximate the given integ…

00:36

Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpson's Rule to …

19:10

Use (a) the Midpoint Rule and (b) Simpson's Rule to approximate the given integ…

14:10

Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpson's Rule to …

03:41

Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpson's Rule to …

12:29

Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpson's Rule to …

00:36

Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpson's Rule to …

08:29

Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpson's Rule to …

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