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 computer algebra system to evaluate the int…

01:18

Question

Answered step-by-step

Problem 39 Medium Difficulty

Use a computer algebra system to evaluate the integral. Compare the answer with the result of using tables. If the answers are not the same, show that they are equivalent.

$ \displaystyle \int x^2 \sqrt{x^2 + 4}\ dx $


Video Answer

Solved by verified expert

preview
Numerade Logo

This problem has been solved!

Try Numerade free for 7 days

Foster Wisusik
Numerade Educator

Like

Report

Textbook Answer

Official textbook answer

Video by Foster Wisusik

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 6

Integration Using Tables and Computer Algebra Systems

Related Topics

Integration Techniques

Discussion

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

Harvey Mudd College

Caleb Elmore

Baylor University

Kristen Karbon

University of Michigan - Ann Arbor

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

01:47

Use a computer algebra sys…

01:41

Use a computer algebra sys…

03:14

Use a computer algebra sys…

00:27

Use a computer algebra sys…

04:12

Use a computer algebra sy…

00:27

Use a computer algebra sys…

04:20

Use a computer algebra sys…

01:18

Use a computer algebra sys…

00:43

Use a computer algebra sys…

07:39

Use a computer algebra sy…

06:31

Use a computer algebra sys…

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

Video Transcript

Okay, so this question wants us to evaluate this anti derivative using a computer algebra system and show us that that's the same thing that we get if we use the table. So I plugged into a computer algebra system and got this answer. But when you plug into a table, you get this form. So let's show they're the same, but converting the computer form into the tabular for So let's distribute this 1/4 to each term. So we get square root X squared, plus four over four times Ex cued plus two X minus eight over for Ellen of X plus Square root X squared plus four plus C. Then we can factor out X from the first term. So we get X over four times X squared plus two X minus. Sorry. Need our square roots still minus two. Ellen of X was squared, X squared, plus floor plus c. And then this looks really close to our table for him. We just need to pull out a factor of 1/2 from the first term. So we get X over eight times. Well, if we pulled out a factor on half if to multiply, both things and the parentheses by two, and we leave the second term alone, and this should be our final answer. So let's compare this. We get X over a times two X squared plus four that are square term. Yep, Then minus to Ellen of X plus Squared X squared plus four, which we do indeed get, making sure to expand just for clarity and the answer's air equivalent.

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
162
Hosted by: Ay?Enur Çal???R
Math (Algebra 2 & AP Calculus AB) with Yovanny
Arrow icon
Participants icon
70
Hosted by: Alonso M
See More

Related Topics

Integration Techniques

Top Calculus 2 / BC Educators
Grace He

Numerade Educator

Kayleah Tsai

Harvey Mudd College

Caleb Elmore

Baylor University

Kristen Karbon

University of Michigan - Ann Arbor

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

01:47

Use a computer algebra system to evaluate the integral. Compare the answer with…

01:41

Use a computer algebra system to evaluate the integral. Compare the answer with…

03:14

Use a computer algebra system to evaluate the integral. Compare the answer with…

00:27

Use a computer algebra system to evaluate the integral. Compare the answer with…

04:12

Use a computer algebra system to evaluate the integral. Compare the answer wit…

00:27

Use a computer algebra system to evaluate the integral. Compare the answer with…

04:20

Use a computer algebra system to evaluate the integral. Compare the answer with…

01:18

Use a computer algebra system to evaluate the integral. Compare the answer with…

00:43

Use a computer algebra system to evaluate the integral. Compare the answer with…

07:39

Use a computer algebra system to evaluate the integral. Compare the answer wit…

06:31

Use a computer algebra system to evaluate the integral. Compare the answer with…
Additional Mathematics Questions

00:32

Lucy buys a car because it is that specific shade of red that she loves. Thi…

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