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Problem

Graph the curve and visually estimate its length.…

01:09

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Problem 22 Hard Difficulty

Find the length of the arc of the curve from point $ P $ to point $ Q $.

$ x^2 = (y - 4)^3 $ , $ P(1, 5) $ , $ Q(8, 8) $


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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
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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
Problem 42
Problem 43
Problem 44
Problem 45
Problem 46

Video Transcript

Hey, it's clear. So when you're in here so we have X square is equal to why minus four kids, we have two points. He, uh, when comma five, two, meet comma, Ain't birth gonna solve for X? We get plus or minus square e of why minus four. Cute. We know that the points of positive X coordinates. So we're only then I used the positive, so e equals a lie minus four to the 3/2 policy. We're gonna find d X over D Y in the equals three house. Why? Minus four? No one. How Now we're gonna plug it into our equation. Park links equations from five to eight. Square root of one plus nine over four times. Why minus four day? Why? It's five and eight since we're finding it in respect to why we're integrating in respect to why who has becomes equal to from 5 to 8. Square of one plus nine over four. Why minus and nine. Do you? Why becomes a full too integral five square root of nine. Why minus 32 Do you know why I put a 1/2 here? Louis, integrate this. It becomes on the house times, 2/3 times won over nine times nine. Why minus 32 to the three halves, 5 to 8. This is around one over 27. I'm 80 square of 10 minus 13 square of 13 which is around seven point 6337

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Calculus: Early Transcendentals

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