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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 = x - \ln x $, $ 1 \le x \le 4 $

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Calculus 2 / BC

Chapter 8

Further Applications of Integration

Section 1

Arc Length

Applications of Integration

Missouri State University

Harvey Mudd College

University of Nottingham

Boston College

Lectures

01:15

Set up an integral that re…

01:59

01:09

01:20

01:42

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02:05

01:45

$3-8$ Set up an integral t…

02:14

01:18

Set up, but do not evaluat…

01:31

01:57

he s Clearasil immune right here. So we have. Why is equal to X minus? Felt then of X exists between one and four included. When we find the derivative, we get one minus one over ETS. We're gonna use the arc length formula when we get from 1 to 4 square root, but one plus one minus one over at square D X. And when we used a calculator, we get around three point 4467

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