27. y = 2 arctan x, [0, 1] 28. y = In x, [1, 5] 29. x = e¯Y, 0 < y < 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Answer #27
Finding Arc Length In Exercises 21-30, (a) sketch the
graph of the function, highlighting the part indicated by the
given interval, (b) write a definite integral that represents the
arc length of the curve over the indicated interval and observe
that the integral cannot be evaluated with the techniques
studied so far, and (c) use the integration capabilities of a
graphing utility to approximate the arc length.
Transcribed Image Text:Finding Arc Length In Exercises 21-30, (a) sketch the graph of the function, highlighting the part indicated by the given interval, (b) write a definite integral that represents the arc length of the curve over the indicated interval and observe that the integral cannot be evaluated with the techniques studied so far, and (c) use the integration capabilities of a graphing utility to approximate the arc length.
27. y = 2 arctan x, [0, 1]
28. y = In x, [1, 5]
%3D
29. x = e¯Y, 0 s y< 2
Transcribed Image Text:27. y = 2 arctan x, [0, 1] 28. y = In x, [1, 5] %3D 29. x = e¯Y, 0 s y< 2
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