Disc Method: Revolving Around Other Axes
AP Calculus AB · Flashcards · Application
AP CALCULUS AB · FLASHCARDS
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QUESTION
Find the volume using the disc method for
f
(
x
)
=
3
f(x) = 3
f
(
x
)
=
3
from
x
=
0
x = 0
x
=
0
to
x
=
2
x = 2
x
=
2
, revolving around the x-axis.
QUESTION
Identify the correct limits for
V
=
π
i
n
t
a
b
[
f
(
x
)
]
2
d
x
V = \pi \\int_{a}^{b} [f(x)]^2 \, dx
V
=
π
in
t
a
b
[
f
(
x
)
]
2
d
x
if revolving around x-axis from
x
=
2
x = 2
x
=
2
to
x
=
5
x = 5
x
=
5
.
QUESTION
Determine the axis of revolution for
V
=
π
i
n
t
a
b
[
f
(
x
)
]
2
d
x
V = \pi \\int_{a}^{b} [f(x)]^2 \, dx
V
=
π
in
t
a
b
[
f
(
x
)
]
2
d
x
.
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ANSWER
The axis of revolution is the x-axis. Integration with respect to
x
x
x
indicates x-axis revolution.
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