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Problem

Use either a computer algebra system or a table o…

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Problem 30 Hard Difficulty

Repeat Exercise 29 for the curve
$ y = x + \sin x $ $ 0 \le x \le 2\pi $


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Related Courses

Calculus 2 / BC

Calculus: Early Transcendentals

Chapter 8

Further Applications of Integration

Section 1

Arc Length

Related Topics

Applications of Integration

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Watch More Solved Questions in Chapter 8

Problem 1
Problem 2
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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
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Problem 43
Problem 44
Problem 45
Problem 46

Video Transcript

he has clear Is that when you raid here? So for part A, we're gonna draw a graph and I look something like this for part B. We're finding the length of the curves so from zero calmer of zero and to pie comma f of two pi This is equal to two pi common to pine So the lanes is around Beat 0.9 when we're finding for the polygon of zero comma zero Hi, comma half of pine This is equal Thio Pikom a pie and two pi comma to pie So this also gives us around 8.9 We're finding for the polygon with four sides So zero comma zero I have a comma one plus I haves Pikom a pie three pi house comma three pie hands minus one and two pi comma to pie Then we get around 9.4 for part C We're gonna find the Ark links equation So when we derive our function why is equal to X plus sign? We get one plus co sign so are are killing Equation goes from 0 to 2 pi square root of one plus one plus co sign squared D X and for party. This gives us around nine points. 507 59 And for part B, our approximation was less than our actual since we're using, um, straight lines.

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