AP Calculus BC Quiz
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APPLICATIONS OF INTEGRATION
Question 1
of 20
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Let
f
(
x
)
=
sin
x
f(x)=\sin x
f
(
x
)
=
sin
x
and
g
(
x
)
=
0
g(x)=0
g
(
x
)
=
0
on
[
0
,
π
]
[0,\pi]
[
0
,
π
]
, where
f
(
x
)
≥
g
(
x
)
f(x)\ge g(x)
f
(
x
)
≥
g
(
x
)
. Which integral gives the area?
A
∫
0
π
(
g
(
x
)
−
f
(
x
)
)
d
x
\displaystyle \int_{0}^{\pi}\big(g(x)-f(x)\big)\,dx
∫
0
π
(
g
(
x
)
−
f
(
x
)
)
d
x
B
∫
π
0
(
f
(
x
)
−
g
(
x
)
)
d
x
\displaystyle \int_{\pi}^{0}\big(f(x)-g(x)\big)\,dx
∫
π
0
(
f
(
x
)
−
g
(
x
)
)
d
x
C
∫
0
π
(
f
(
x
)
−
g
(
x
)
)
d
x
\displaystyle \int_{0}^{\pi}\big(f(x)-g(x)\big)\,dx
∫
0
π
(
f
(
x
)
−
g
(
x
)
)
d
x
D
∫
0
π
(
f
(
x
)
+
g
(
x
)
)
d
x
\displaystyle \int_{0}^{\pi}\big(f(x)+g(x)\big)\,dx
∫
0
π
(
f
(
x
)
+
g
(
x
)
)
d
x
E
∫
0
π
(
g
(
x
)
−
f
(
x
)
)
2
d
x
\displaystyle \int_{0}^{\pi}\big(g(x)-f(x)\big)^2\,dx
∫
0
π
(
g
(
x
)
−
f
(
x
)
)
2
d
x
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