Area Between Curves: Functions of x
AP Calculus AB · Flashcards · Application
AP CALCULUS AB · FLASHCARDS
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QUESTION
Calculate the area between
y
=
x
+
1
y = x + 1
y
=
x
+
1
and
y
=
2
x
y = 2x
y
=
2
x
from
x
=
0
x = 0
x
=
0
to
x
=
1
x = 1
x
=
1
.
QUESTION
What is the integral for the area between
y
=
x
2
y = x^2
y
=
x
2
and
y
=
−
x
y = -x
y
=
−
x
from
x
=
0
x = 0
x
=
0
to
x
=
1
x = 1
x
=
1
?
QUESTION
Find the intersection points of
y
=
x
2
y = x^2
y
=
x
2
and
y
=
4
y = 4
y
=
4
.
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ANSWER
x
=
−
2
,
x
=
2
x = -2, x = 2
x
=
−
2
,
x
=
2
. Solve
x
2
=
4
x^2 = 4
x
2
=
4
to get
x
=
±
2
x = \pm 2
x
=
±
2
.
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