Area Between Curves: Functions of x
AP Calculus BC · Flashcards · Application
AP CALCULUS BC · FLASHCARDS
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QUESTION
For
y
=
e
x
y=\text{e}^x
y
=
e
x
and
y
=
1
y=1
y
=
1
, which function is on top for
x
>
0
x > 0
x
>
0
?
QUESTION
Determine the area between
y
=
sin
(
x
)
y=\text{sin}(x)
y
=
sin
(
x
)
and
y
=
0
y=0
y
=
0
from
x
=
0
x=0
x
=
0
to
x
=
pi
2
x=\frac{\text{pi}}{2}
x
=
2
pi
.
QUESTION
What is the integral for area:
f
(
x
)
=
sin
(
x
)
f(x) = \text{sin}(x)
f
(
x
)
=
sin
(
x
)
,
g
(
x
)
=
0
g(x) = 0
g
(
x
)
=
0
, on
[
0
,
pi
2
]
[0, \frac{\text{pi}}{2}]
[
0
,
2
pi
]
?
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ANSWER
integral from
0
to
pi
2
of sin
(
x
)
d
x
\text{integral from } 0 \text{ to } \frac{\text{pi}}{2} \text{ of } \text{sin}(x) \, dx
integral from
0
to
2
pi
of
sin
(
x
)
d
x
. Since
g
(
x
)
=
0
g(x) = 0
g
(
x
)
=
0
, the area is the integral of
sin
(
x
)
\sin(x)
sin
(
x
)
.
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