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Problem 65 Hard Difficulty
Calculate the volume generated by rotating the region bounded by the curves $ y = \ln x $, $ y = 0 $ and $ x = 2 $ about each axis.
(a) The y-axis
(b) The x-axis
Answer
a) $\pi\left(4 \ln 2-\frac{3}{2}\right)$
b) $\pi\left[2(\ln 2)^{2}-4 \ln 2+2\right]=2 \pi\left[(\ln 2)^{2}-2 \ln 2+1\right]$
Topics
Integration Techniques
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Missouri State University
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Video Transcript
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Topics
Integration Techniques
Top Calculus 2 / BC Educators
Catherine R.
Missouri State University
Heather Z.
Oregon State University
Kayleah T.
Harvey Mudd College
Michael J.
Idaho State University