Disc Method: Revolving Around Other Axes
AP Calculus AB · Flashcards
AP CALCULUS AB · FLASHCARDS
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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
.
QUESTION
What is the purpose of squaring the function in the disc method formula?
QUESTION
What does
b
−
a
b-a
b
−
a
represent in the formula
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 interval length along the x-axis. This represents the width of the integration domain.
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