Area Between Curves: Functions of y
AP Calculus AB · Flashcards
AP CALCULUS AB · FLASHCARDS
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QUESTION
What is the integral expression for area between
x
=
y
x = y
x
=
y
and
x
=
y
2
x = y^2
x
=
y
2
?
QUESTION
Find points of intersection for
x
=
y
2
x = y^2
x
=
y
2
and
x
=
2
−
y
x = 2 - y
x
=
2
−
y
.
QUESTION
Convert
y
=
x
2
y = x^2
y
=
x
2
and
x
=
4
x = 4
x
=
4
to functions of
y
y
y
for integration.
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ANSWER
x
=
sqrt
(
y
)
x = \text{sqrt}(y)
x
=
sqrt
(
y
)
and
x
=
4
x = 4
x
=
4
. Solve
y
=
x
2
y=x^2
y
=
x
2
for
x
x
x
to get
x
=
y
x=\sqrt{y}
x
=
y
; keep
x
=
4
x=4
x
=
4
.
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