Problem 31 Medium Difficulty
Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use your calculator to evaluate the integral correct to five decimal places.
$ y = e^{-x^2} $ , $ y = 0 $ , $ x = -1 $ , $ x = 1 $
(a) About the x-axis
(b) About $ y = -1 $
Answer
a) $V \approx 3.75825$
b) $V=13.14$
Topics
Applications of Integration
Discussion
Top Calculus 2 / BC Educators
Catherine R.
Missouri State University
Anna Marie V.
Campbell University
Heather Z.
Oregon State University
Samuel H.
University of Nottingham
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Video Transcript
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Topics
Applications of Integration
Top Calculus 2 / BC Educators
Catherine R.
Missouri State University
Anna Marie V.
Campbell University
Heather Z.
Oregon State University
Samuel H.
University of Nottingham
