Which of the integrals below represents the length of the curve y = log₂ between the points (1, 0) and (4,2)? S.³ 1+ 49 (In 2)² dy S² 1 +4³ (In 2)² dy [² √ √T 1 +4¹ (In y)² dy /1+ (24)² dy

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter5: Graphs And The Derivative
Section5.3: Higher Derivatives, Concavity, And The Second Derivative Test
Problem 63E
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Which of the integrals below represents the length of the curve y = log₂ between the points (1,0) and (4,2)?
2
£²√¹
²√1 +4³ (In 2)² dy
5.²
[²³√1 + (2¹) ² dy
4⁹
V (In 2)²
[..
1+
dy
1+ 4¹ (In y)² dy
Transcribed Image Text:Which of the integrals below represents the length of the curve y = log₂ between the points (1,0) and (4,2)? 2 £²√¹ ²√1 +4³ (In 2)² dy 5.² [²³√1 + (2¹) ² dy 4⁹ V (In 2)² [.. 1+ dy 1+ 4¹ (In y)² dy
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