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Problem 8 Easy Difficulty
Set up an integral that represents the length of the curve. Then use your calculator to find the length correct to four decimal places.
$ y^2 = \ln x $, $ -1 \le y \le 1 $
Answer
$L \approx 4.2552$
Topics
Applications of Integration
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Oregon State University
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University of Michigan - Ann Arbor
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Watch More Solved Questions in Chapter 8
Video Transcript
we have to find the length of the curve y squared equals Ln x on the interval. Why is greater than or equal to your negative one, but less under equal to one so we can rearrange why it's where equals Alan X. By raising both sides to E. This will give us X equals e to the wise Square. Then we'll want to find X prime to plug into our Ark formula equation. This is simply too. Why Times e two, the Y squared, plugging into our formula. Negative one for a and one for B one plus to Y E y squared squared again D y. If we plug this into our calculator, we should get around 4.2552
Topics
Applications of Integration
Top Calculus 2 / BC Educators
Heather Z.
Oregon State University
Kayleah T.
Harvey Mudd College
Kristen K.
University of Michigan - Ann Arbor
Michael J.
Idaho State University
