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Write and simplify the integral that gives the arc length of the following curves on the given interval. Then use technology to approximate the integral. y = In x between x = 1 and x = 6 7 1 given that a + Vx² + a² x² + a? dx = Vx? + a - a ln a -b + C.

Write and simplify the integral that gives the arc length of the following curves on the given interval. Then use technology to approximate the integral. y = In x between x = 1 and x = 6 7 1 given that a + Vx² + a² x² + a? dx = Vx? + a - a ln a -b + C.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Write and simplify the integral that gives the arc length of the following curves on the given interval. Then use technology to approximate the integral. y = In x between x = 1 and x = 6 7 1 given that a + Vx² + a² x² + a? dx = Vx? + a - a ln a -b + C.
Transcribed Image Text:Write and simplify the integral that gives the arc length of the following curves on the given interval. Then use technology to approximate the integral. y = In x between x = 1 and x = 6 7 1 given that a + Vx² + a² x² + a? dx = Vx? + a - a ln a -b + C.
Expert Solution
Step 1

Given: A curve y=lnx between x=1 and x=b.

To Find: Integral to evaluate the arc length using some mathematical tool.

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