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Mathematics
Mathematics
Problem
Write, but do not evaluate, the definite integral that represents the volume of the solid generated when the region bounded by
y
=
f
(
x
)
y = f(x)
y
=
f
(
x
)
and
y
=
g
(
x
)
y = g(x)
y
=
g
(
x
)
, where
f
(
x
)
≥
g
(
x
)
f(x) \ge g(x)
f
(
x
)
≥
g
(
x
)
for
a
≤
x
≤
b
a \le x \le b
a
≤
x
≤
b
, is revolved about the
x
x
x
-axis.
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