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

If $ x $ is measured in meters and $ f(x) $ is me…
01:21

Question

Answered step-by-step

Problem 56 Easy Difficulty

If $ f(x) $ is the slope of a trail at a distance of $ x $ miles from the start of the trail, what does $ \displaystyle \int^5_3 f(x) \, dx $ represent?

Video Answer

Solved by verified expert

preview
Numerade Logo

This problem has been solved!

Try Numerade free for 7 days

Amrita Bhasin
Numerade Educator

Like

Report

Textbook Answer

Official textbook answer

Video by Amrita Bhasin

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

More Answers

00:25

Frank Lin

Related Courses

Calculus 1 / AB
Calculus: Early Transcendentals

Chapter 5

Integrals

Section 4

Indefinite Integrals and the Net Change Theorem

Related Topics

Integrals

Integration

Discussion

You must be signed in to discuss.
Top Calculus 1 / AB Educators
Grace He
Anna Marie Vagnozzi

Campbell University

Caleb Elmore

Baylor University

Kristen Karbon

University of Michigan - Ann Arbor

Calculus 1 / AB Courses

Lectures

Video Thumbnail

05:53
Integrals - Intro

In mathematics, an indefinite integral is an integral whose integrand is not known in terms of elementary functions. An indefinite integral is usually encountered when integrating functions that are not elementary functions themselves.
Video Thumbnail

40:35
Area Under Curves - Overview

In mathematics, integration is one of the two main operations of calculus, with its inverse operation, differentiation, being the other. Given a function of a real variable (often called "the integrand"), an antiderivative is a function whose derivative is the given function. The area under a real-valued function of a real variable is the integral of the function, provided it is defined on a closed interval around a given point. It is a basic result of calculus that an antiderivative always exists, and is equal to the original function evaluated at the upper limit of integration.
Join Course
Recommended Videos

00:49

If $f(x)$ is the slope of …

00:29

$\begin{array}{l}{\text { …

01:32

If $f(x)$ is the slope of …

00:53

Suppose that $\int_{3}^{5}…

01:48

Suppose that $\int_{5}^{-3…

00:22

If we know $$\int_{2}^{5} …

01:00

Given $\int_{-.5}^{3} f(x)…

01:19

Find $ \displaystyle \int^…

00:59

$$\text { Given } \int_{0}…

00:54

Express as one integral.

01:47

Evaluate the integral usin…

01:19

Evaluate the integral usin…

Watch More Solved Questions in Chapter 5

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
Problem 71
Problem 72
Problem 73
Problem 74

Video Transcript

by the total change. The arm we know we have the integral from 3 to 5 of eat prime of acts de acts on We know by the trouble changed the arm. This is equivalent to e of the top bound, which is five majesty of the lower bound, which is three. Okay, this represented the change in elevation between exes three miles. Shoot X is five miles. That's what this interval represents.

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
67
Hosted by: Ay?Enur Çal???R
Math (Algebra 2 & AP Calculus AB) with Yovanny
Arrow icon
Participants icon
44
Hosted by: Alonso M
See More

Related Topics

Integrals

Integration
Top Calculus 1 / AB Educators
Grace He

Numerade Educator

Anna Marie Vagnozzi

Campbell University

Caleb Elmore

Baylor University

Kristen Karbon

University of Michigan - Ann Arbor

Calculus 1 / AB Courses

Lectures

Video Thumbnail

05:53
Integrals - Intro

In mathematics, an indefinite integral is an integral whose integrand is not known in terms of elementary functions. An indefinite integral is usually encountered when integrating functions that are not elementary functions themselves.
Video Thumbnail

40:35
Area Under Curves - Overview

In mathematics, integration is one of the two main operations of calculus, with its inverse operation, differentiation, being the other. Given a function of a real variable (often called "the integrand"), an antiderivative is a function whose derivative is the given function. The area under a real-valued function of a real variable is the integral of the function, provided it is defined on a closed interval around a given point. It is a basic result of calculus that an antiderivative always exists, and is equal to the original function evaluated at the upper limit of integration.
Join Course
Recommended Videos

00:49

If $f(x)$ is the slope of a trail at a distance of $x$ miles from the start of…

00:29

$\begin{array}{l}{\text { If } f(x) \text { is the slope of a trail at a distan…

01:32

If $f(x)$ is the slope of a trail at a distance of $x$ miles from the start of…

00:53

Suppose that $\int_{3}^{5} f(x) d x=2$. Evaluate $\int_{5}^{3}-4 f(x) d x$.

01:48

Suppose that $\int_{5}^{-3}(-3 f(x) / 4) d x=7$. Evaluate $\int_{5}^{-3}(6 f(x)…

00:22

If we know $$\int_{2}^{5} f(x) d x=4,$$ what is the value of $$3\left(\int_{2}^…

01:00

Given $\int_{-.5}^{3} f(x) d x=0$ and $\int_{-.5}^{3}(2 g(x)+f(x)) d x=-4$, fin…

01:19

Find $ \displaystyle \int^5_0 f(x) \, dx $ if $ f(x) = \left\{ \b…

00:59

$$\text { Given } \int_{0}^{1} f(x) d x=3.5 \text { and } \int_{1}^{4} f(x) d x…

00:54

Express as one integral. $$ \int_{5}^{1} f(x) d x+\int_{-3}^{5} f(x) d x $$

01:47

Evaluate the integral using $f(x)=4 x^{-3}$ $$\int_{1}^{3} f^{\prime}(x) d x$$

01:19

Evaluate the integral using $f(x)=4 x^{-3}$ $$\int_{1}^{3} f\left(x^{-1}\right)…
Additional Mathematics Questions

02:02

'pakisagot nlng po thank you<3
Activity In a sale an by P 500. Wh…

00:21

'Activity: PLOT ME!Plot the given point in the number line. Write your …

00:36

"Neeed po yong tamang sagot.
Test D. Direction: Write the symbol or…

01:29

"LESSON 1: Polynomials with Common Monomial Factor.
Identify the GCF…

03:29

'E Learning Task 3. Analyze and solve the following problem. Use block …

03:28

'Pa sagot naman po need q lang po ngayon Bukas Napo kse deadlinesalamat…

02:47

'pa answer po please yung Tama po tapos po with SOLUTION po please kail…

03:46

"pa help po thank you
Try Thls: Complele Ihe equalion and idenlily I…

01:59

"pls answer this activity
LEARNING TASKS
Written Work week 6 Dire…

02:52

"pasagot Po plsss kailangan napo ehhh
ACTIVITY 3 Direction: Read and…

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
  • Topics
  • Test Prep
  • Ask Directory
  • Online Tutors
  • Tutors Near Me
Support
  • Help
  • Privacy Policy
  • Terms of Service
Get started