Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Question

Answered step-by-step

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

This problem has been solved!

Try Numerade free for 7 days

Like

Report

Official textbook answer

Video by Amrita Bhasin

Numerade Educator

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

00:25

Frank Lin

Calculus 1 / AB

Chapter 5

Integrals

Section 4

Indefinite Integrals and the Net Change Theorem

Integration

Campbell University

Baylor University

University of Michigan - Ann Arbor

Lectures

05:53

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.

40:35

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.

00:49

If $f(x)$ is the slope of …

00:29

$\begin{array}{l}{\text { …

01:32

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…

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.

View More Answers From This Book

Find Another Textbook

02:02

'pakisagot nlng po thank you<3Activity 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 youTry Thls: Complele Ihe equalion and idenlily I…

01:59

"pls answer this activityLEARNING TASKSWritten Work week 6 Dire…

02:52

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