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

Draw the graph of $ f(x) = \sin \left (\frac{1}{…

01:51

Question

Answered step-by-step

Problem 3 Medium Difficulty

Estimate $ \displaystyle \int_0^1 \cos (x^2)\ dx $ using (a) the Trapezoidal Rule and (b) the Midpoint Rule, each with $ n = 4 $. From a graph of the integrand, decide whether your answers are underestimates or overestimates. What can you conclude about the true value of the integral?


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
Heather Zimmers

Oregon State University

Caleb Elmore

Baylor University

Kristen Karbon

University of Michigan - Ann Arbor

Michael Jacobsen

Idaho State University

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

13:36

Estimate $\int_{0}^{1} \co…

07:26

Estimate $\int_{0}^{1} \co…

14:39

(a) use the Trapezoidal Ru…

09:50

(a) use the Trapezoidal Ru…

08:31

(a) use the Trapezoidal Ru…

04:55

Approximate the definite i…

02:42

Approximate the following …

11:53

(a) use the Trapezoidal Ru…

02:51

Approximate the following …

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

there are problems. Three, uh before. So you need to know. Zero two times. One over four. Just two times over too. And two times three or four. Uh, sorry. After your four and one times one bye Seems interval is one or four. You should be ready by two. Yes, there's a to here. Right? Use a calculator. You can find out there t is equal to zero point age. Nice aches. And to use a meat point rule, you need to know have one or eight and thus 3.3 over eight. And us, uh five. All right. And seven or eight. Seems the lance often throw is one over four. So they should multiply when the war for right and you can find on is equal to zero point ni oh Ni uh, from a broth, I formulated profits in Mathematica. Here scenes. The graph is concave and is decreasing. Right, So we can know that and is greater than I busies concave. And it's greater than team right? Here's a graph. He is a raft for cribs. Oi! And there's a space here and the cost. Yet I'm is greater than eyes because the function is concave, right? So what we can know? We can conclude that eyes between to appoint a United States and to appoint night all night.

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
94
Hosted by: Ay?Enur Çal???R
Math (Algebra 2 & AP Calculus AB) with Yovanny
Arrow icon
Participants icon
54
Hosted by: Alonso M
See More

Related Topics

Integration Techniques

Top Calculus 2 / BC Educators
Heather Zimmers

Oregon State University

Caleb Elmore

Baylor University

Kristen Karbon

University of Michigan - Ann Arbor

Michael Jacobsen

Idaho State University

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

13:36

Estimate $\int_{0}^{1} \cos \left(x^{2}\right) d x$ using (a) the Trapezoidal R…

07:26

Estimate $\int_{0}^{1} \cos \left(x^{2}\right) d x$ using $(a)$ the Trapezoidal…

14:39

(a) use the Trapezoidal Rule with $n=4$ to approximate the value of the integra…

09:50

(a) use the Trapezoidal Rule with $n=4$ to approximate the value of the integra…

08:31

(a) use the Trapezoidal Rule with $n=4$ to approximate the value of the integra…

04:55

Approximate the definite integral using the Trapezoidal Rule and Simpson's Rule…

02:42

Approximate the following integrals by the trapezoidal rule; then, find the exa…

11:53

(a) use the Trapezoidal Rule with $n=4$ to approximate the value of the integra…

02:51

Approximate the following integrals by the midpoint rule, the trapezoidal rule,…
Additional Mathematics Questions

03:58

Use similar triangles to solve. A person who is 5 feet tall is standing 168 …

04:23

The center for disease control and prevention rcported in 2012 that one in c…

03:56

Find the maximum and minimum value of from the following table using numeric…

03:16

Find the Left and Right Riemann Sums for the following function On the inter…

05:01

5. (16') Consider a binary code with 8 bits (0 O 1) in each code word. …

04:53

20 21 22 23 24 25 26 27 28 29 30 31 32 3}
Temperature ("C)
Figure…

03:53

A major car manufacturer wants to test a new engine to determine whether it …

01:31

A researcher wishes to estimate the proportion of adults who have high-speed…

03:36

In a survey of 500 companies it was found that 250 had copiers and 300 had f…

02:03

There are 42 members on the swimming team: Only the first four are gooing th…

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