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Use the arc length formula (3) to find the length of the curve $ y = 2x - 5 $, $ -1 \le x \le 3 $. Check your answer by noting that the curve is a line segment and calculating its length by the distance formula.

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$4 \sqrt{5}$

Calculus 2 / BC

Chapter 8

Further Applications of Integration

Section 1

Arc Length

Applications of Integration

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University of Nottingham

Idaho State University

Lectures

01:16

Use the arc length formula…

02:49

01:08

02:10

Use the are length formula…

03:54

04:55

05:01

02:55

14:04

Arc length Find the length…

02:40

Use any method to find the…

He is numerade here, so we're going to use the arc length formula. So we have y is equal to 2 x minus 5, and this gives us a derivative of 2 point using the arc ling formula we get. L is equal to from negative 1 to 3 square root of 1 plus 2 squared dx, and this equals square root of 5 x from negative 1 to 3, which gives us 4 square root of 5.

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