The region between
f
(
x
)
\displaystyle {f{{\left({x}\right)}}}
f
(
x
)
and the
x
\displaystyle {x}
x
-axis between
a
\displaystyle {a}
a
and
b
\displaystyle {b}
b
is rotated around the
x
\displaystyle {x}
x
-axis to form a solid. Represent the volume of this solid as a definite integral. Use exact values.
Volume
=
∫
a
b
\displaystyle ={\int_{{{a}}}^{{{b}}}}
=
∫
a
b
d
x
\displaystyle {\left.{d}{x}\right.}
d
x
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\displaystyle