AP Calculus AB Quiz
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APPLICATIONS OF INTEGRATION
Question 1
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Set up the
d
y
dy
d
y
integral for area between
x
=
ln
(
y
+
2
)
x=\ln(y+2)
x
=
ln
(
y
+
2
)
(left) and
x
=
2
x=2
x
=
2
(right) on
−
1
≤
y
≤
2
-1 \le y \le 2
−
1
≤
y
≤
2
.
A
∫
−
1
2
[
ln
(
y
+
2
)
−
2
]
d
y
\displaystyle \int_{-1}^{2}\big[\ln(y+2)-2\big]\,dy
∫
−
1
2
[
ln
(
y
+
2
)
−
2
]
d
y
B
∫
−
1
2
[
2
−
ln
(
y
+
2
)
]
d
y
\displaystyle \int_{-1}^{2}\big[2-\ln(y+2)\big]\,dy
∫
−
1
2
[
2
−
ln
(
y
+
2
)
]
d
y
C
∫
−
2
1
[
2
−
ln
(
y
+
2
)
]
d
y
\displaystyle \int_{-2}^{1}\big[2-\ln(y+2)\big]\,dy
∫
−
2
1
[
2
−
ln
(
y
+
2
)
]
d
y
D
∫
−
1
2
[
2
−
ln
(
y
−
2
)
]
d
y
\displaystyle \int_{-1}^{2}\big[2-\ln(y-2)\big]\,dy
∫
−
1
2
[
2
−
ln
(
y
−
2
)
]
d
y
E
∫
−
1
2
[
3
−
ln
(
y
+
2
)
]
d
y
\displaystyle \int_{-1}^{2}\big[3-\ln(y+2)\big]\,dy
∫
−
1
2
[
3
−
ln
(
y
+
2
)
]
d
y
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