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

Evaluate the integral. $ \displaystyle \int \t…

03:32

Question

Answered step-by-step

Problem 21 Easy Difficulty

Evaluate the integral.

$ \displaystyle \int \tan x \sec^3 x dx $


Video Answer

Solved by verified expert

preview
Numerade Logo

This problem has been solved!

Try Numerade free for 7 days

JH
J Hardin
Numerade Educator

Like

Report

Textbook Answer

Official textbook answer

Video by J Hardin

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 2

Trigonometric Integrals

Related Topics

Integration Techniques

Discussion

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

Missouri State University

Anna Marie Vagnozzi

Campbell University

Kayleah Tsai

Harvey Mudd College

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

03:14

Evaluate the integral.

…

01:22

Evaluate the integral.
…

01:35

Evaluate the integral.
…

00:59

Evaluate the integral.
…

00:45

Evaluate the indefinite in…

00:39

Evaluate the indefinite in…

01:03

Evaluate the integrals.

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

Video Transcript

This problem is from Chapter seven section to problem number twenty one in the book Calculus Early Transcendental Sze eighth Edition by James Door Here we have a indefinite a roll of tangent times he can't cube. So here, let's re write it Seeking cute Becks as c can't squared of eggs Time seeking a Vicks and let's sleep Tangent avec says it is The reason for doing this is because if we grouped these last two terms here to suggest that we should try a new substitution, you equal See Kanna Becks So that do you is seeking a bucks tangent of X t X, which is exactly what we have in the end A gram. So after using this u substitution R interval simply becomes you square, Do you? Now we can use the power rule to evaluate this integral you cubed over three plus Don't forget our constant of integration seat. And now we could come back to our Are you substitution to replace you with seeking of X? So we have He can't keep the bugs over three plus he and there's our answer. Thank you

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
144
Hosted by: Ay?Enur Çal???R
Math (Algebra 2 & AP Calculus AB) with Yovanny
Arrow icon
Participants icon
68
Hosted by: Alonso M
See More

Related Topics

Integration Techniques

Top Calculus 2 / BC Educators
Catherine Ross

Missouri State University

Anna Marie Vagnozzi

Campbell University

Kayleah Tsai

Harvey Mudd College

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

03:14

Evaluate the integral. $ \displaystyle \int \tan^3 x \sec x dx $

01:22

Evaluate the integral. $\int \tan x \sec ^{3} x d x$

01:35

Evaluate the integral. $\int \tan ^{3} x \sec x d x$

00:59

Evaluate the integral. $$ \int \tan ^{3} x \sec ^{3} x d x $$

00:45

Evaluate the indefinite integral. $\int \sec ^{3} x \tan x d x$

00:39

Evaluate the indefinite integral. $$\int \sec ^{3} x \tan x d x$$

01:03

Evaluate the integrals. $\int \sec ^{3} x \tan x d x$
Additional Mathematics Questions

01:19

Use the following information to answer questions 4,5,6 and 7_
Calcium is…

04:12

Region Ris the base of solid. For the solid, each cross section perpendicula…

03:40

Use the probability distribution for the random variable x to answer the que…

01:57

Assume that blood pressure readings are normally distributed with mean of 12…

08:22

The following data represent the high-temperature distribution for summer mo…

02:04

college administrator wants survey 250 students that attend her college t0 s…

02:09

Construct a 99% confidence interval of the population proportion using the g…

05:38

11. Let x be the age of licensed automobile driver; Let y be the percentage …

00:01

Researchers collected information on the body parts of new species of frog: …

00:01

Researchers collected information on the body parts of new species of frog: …

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