Washer Method: Revolving Around Other Axes
AP Calculus BC · Flashcards · Application
AP CALCULUS BC · FLASHCARDS
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QUESTION
Determine the outer radius for
x
=
3
x = 3
x
=
3
revolving around
x
=
−
1
x = -1
x
=
−
1
.
QUESTION
Find the inner radius for
y
=
f
(
x
)
y = f(x)
y
=
f
(
x
)
revolving around
x
=
c
x = c
x
=
c
and
y
=
g
(
x
)
y = g(x)
y
=
g
(
x
)
.
QUESTION
Identify the formula for the solid's volume when
y
=
3
x
y = 3x
y
=
3
x
and
y
=
0
y = 0
y
=
0
are revolved around
y
=
−
1
y = -1
y
=
−
1
.
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ANSWER
V
=
π
∫
0
1
[
(
3
x
+
1
)
2
−
1
2
]
d
x
V = \pi \int_{0}^{1} [(3x+1)^2 - 1^2] dx
V
=
π
∫
0
1
[(
3
x
+
1
)
2
−
1
2
]
d
x
. Both curves shifted by adding 1 for revolution around
y
=
−
1
y=-1
y
=
−
1
.
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