AP Calculus AB Quiz
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APPLICATIONS OF INTEGRATION
Question 1
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For
2
≤
x
≤
5
2\le x\le 5
2
≤
x
≤
5
,
f
(
x
)
=
ln
x
+
3
f(x)=\ln x+3
f
(
x
)
=
ln
x
+
3
and
g
(
x
)
=
2
g(x)=2
g
(
x
)
=
2
. Which integral gives the area between the curves?
A
∫
2
5
[
(
ln
x
+
3
)
−
2
]
d
x
\displaystyle \int_{2}^{5}\big[(\ln x+3)-2\big]dx
∫
2
5
[
(
ln
x
+
3
)
−
2
]
d
x
B
∫
2
5
[
2
−
(
ln
x
+
3
)
]
d
x
\displaystyle \int_{2}^{5}\big[2-(\ln x+3)\big]dx
∫
2
5
[
2
−
(
ln
x
+
3
)
]
d
x
C
∫
5
2
[
(
ln
x
+
3
)
−
2
]
d
x
\displaystyle \int_{5}^{2}\big[(\ln x+3)-2\big]dx
∫
5
2
[
(
ln
x
+
3
)
−
2
]
d
x
D
∫
0
5
[
(
ln
x
+
3
)
−
2
]
d
x
\displaystyle \int_{0}^{5}\big[(\ln x+3)-2\big]dx
∫
0
5
[
(
ln
x
+
3
)
−
2
]
d
x
E
∫
2
5
[
(
ln
x
+
3
)
+
2
]
d
x
\displaystyle \int_{2}^{5}\big[(\ln x+3)+2\big]dx
∫
2
5
[
(
ln
x
+
3
)
+
2
]
d
x
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