Problem

Set up an integral that represents the length of …

00:49

Question

Answered step-by-step

Problem 4 Easy Difficulty

Set up an integral that represents the length of the curve. Then use your calculator to find the length correct to four decimal places.

$ y = xe^{-x} $, $ 0 \le x \le 2 $

Video Answer

Solved by verified expert

Textbook Answer

Official textbook answer

Video by Harriet O'Brien

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 8

Further Applications of Integration

Section 1

Arc Length

Discussion

You must be signed in to discuss.

Top Calculus 2 / BC Educators

Watch More Solved Questions in Chapter 8

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

so we have to find the length of the curve. Why equals X E to the negative X on the interval? X is greater than or equal to zero, but less than or equal to two. So first we'll find the derivative of why, so that we can plug that into our our clean formula. So that will be our derivative and given the interval, are a will equal zero and bebel equal to radical one. Plus, he'd the negative x minus x times each The negative x squared T X will go to the next page. And the problem asked us to use a calculator. So we'll want to simplify. Um, our expression under the radical A bit, um, so that plugging it into the calculator will be a bit easier. Um, here we can expand the expression under the radical Um, excuse me. Getting X minus one squared times e to the negative to x. So that was plus one under the radical T X. After plugging this into your calculator, you should get around 2.10 to 4

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.

Problem