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9
2009 Calculus #9: Revolving Around a Line
2009 Calculus #9: Revolving Around a Line
Source:
June 23, 2012
calculus
geometry
Problem Statement
Let
R
\mathcal{R}
R
be the region in the plane bounded by the graphs of
y
=
x
y=x
y
=
x
and
y
=
x
2
y=x^2
y
=
x
2
. Compute the volume of the region formed by revolving
R
\mathcal{R}
R
around the line
y
=
x
y=x
y
=
x
.
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