Area Between Curves with Multiple Intersections
AP Calculus BC · Flashcards
AP CALCULUS BC · FLASHCARDS
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QUESTION
What do you conclude if
Area
=
∫
a
b
(
f
(
x
)
−
g
(
x
)
)
d
x
<
0
\text{Area} = \int_{a}^{b} (f(x) - g(x)) \, dx < 0
Area
=
∫
a
b
(
f
(
x
)
−
g
(
x
))
d
x
<
0
?
QUESTION
What is the first step to determine the area between intersecting curves?
QUESTION
Identify the error in this:
Area
=
∫
a
b
(
f
(
x
)
−
g
(
x
)
)
d
x
\text{Area} = \int_{a}^{b} (f(x) - g(x)) \, dx
Area
=
∫
a
b
(
f
(
x
)
−
g
(
x
))
d
x
for
f
(
x
)
<
g
(
x
)
f(x) < g(x)
f
(
x
)
<
g
(
x
)
.
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ANSWER
Correct to
Area
=
∫
a
b
(
g
(
x
)
−
f
(
x
)
)
d
x
\text{Area} = \int_{a}^{b} (g(x) - f(x)) \, dx
Area
=
∫
a
b
(
g
(
x
)
−
f
(
x
))
d
x
. Must have upper minus lower function for positive area.
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