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…

01:41

Question

Answered step-by-step

Problem 43 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 \tan^5 x\ 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

Samuel Hannah

University of Nottingham

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

04:56

Use a computer algebra sy…

00:58

Use a computer algebra sys…

02:16

Use a computer algebra sys…

02:00

Use a computer algebra sys…

06:31

Use a computer algebra sys…

00:38

Use a computer algebra sys…

04:20

Use a computer algebra sys…

00:27

Use a computer algebra sys…

01:18

Use a computer algebra sys…

01:06

Use a computer algebra sys…

02:33

Use a computer algebra sys…

01:47

Use a computer algebra sys…

04:50

Use a computer algebra sy…

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 integral using technology and show that its form is equivalent to that given by the table. So a computer algebra system gives us this anti derivative. Well, the table gives us this one says you can see the tangent to the fourth term and the change into the second term both match. So we just need to show that these 2/3 terms are equivalent. So I need to show that negative Ellen of C can't axe equals hello and of co sign X. Okay, So this is pretty straightforward to dio because consider negative alone of seeking ex. So is the same thing is negative, Ellen of well, c can't is one over co sign X. So that means it's negative. Ellen of co sign X all raised to the negative first power end by lug properties. We can bring this exponents outfront and get negative one times negative Ln of coastline X and that simplifies to just Ellen of co sign X. So we've shown that negative Ellen of C Can X is the same thing. Is Ellen of co sign X So we're done because that means that our table and computer algebra system answers are absolutely the same

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
192
Hosted by: Ay?Enur Çal???R
Math (Algebra 2 & AP Calculus AB) with Yovanny
Arrow icon
Participants icon
83
Hosted by: Alonso M
See More

Related Topics

Integration Techniques

Top Calculus 2 / BC Educators
Grace He

Numerade Educator

Kayleah Tsai

Harvey Mudd College

Samuel Hannah

University of Nottingham

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

04:56

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

00:58

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

02:16

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

02:00

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

06:31

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

00:38

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…

00:27

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…

01:06

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

02:33

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

01:47

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

04:50

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

07:18

Solve
+ 4y' + 13y = 0, y(O) ~1, y'(0) = ~4
y(t)
The behav…

04:57

2) Write a formula for the piecewise function whose graph is shown. Use corr…

03:06

3) A quadratic function has all the following properties: concave UP, Y-inte…

02:41

Claim A majority of adults would erase all of their persona information onli…

02:11

Assume that the readings at freezing on bundle of thermometers are normally …

01:45

Suppose that the duration of particular type of criminal trial is known to b…

01:15

Question 4 (15 Points). Dropkin (1964)1 investigated the use of the lognorma…

02:00

Hospital records indicated that knee replacement patients stayed in the hosp…

01:16

In 1940,the population density ofe city t miles from the city center was 70,…

04:05

(1 Suppose you lift a stone that has a mass of 5.4 kilograms off the floor o…

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