AP Calculus BC Quiz
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APPLICATIONS OF INTEGRATION
Question 1
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Region bounded by
x
=
1
x=1
x
=
1
and
x
=
y
2
+
1
x=y^2+1
x
=
y
2
+
1
for
0
≤
y
≤
2
0\le y\le 2
0
≤
y
≤
2
; rectangles perpendicular to
y
y
y
-axis have height
3
y
3y
3
y
: choose setup.
A
∫
0
2
3
y
(
(
y
2
+
1
)
−
1
)
d
y
\displaystyle \int_{0}^{2} 3y\big((y^2+1)-1\big)\,dy
∫
0
2
3
y
(
(
y
2
+
1
)
−
1
)
d
y
B
∫
0
2
3
y
(
1
−
(
y
2
+
1
)
)
d
y
\displaystyle \int_{0}^{2} 3y\big(1-(y^2+1)\big)\,dy
∫
0
2
3
y
(
1
−
(
y
2
+
1
)
)
d
y
C
∫
0
2
3
y
(
y
2
+
1
)
d
y
\displaystyle \int_{0}^{2} 3y(y^2+1)\,dy
∫
0
2
3
y
(
y
2
+
1
)
d
y
D
∫
0
2
3
y
(
y
2
+
1
)
2
d
y
\displaystyle \int_{0}^{2} 3y(y^2+1)^2\,dy
∫
0
2
3
y
(
y
2
+
1
)
2
d
y
E
∫
1
5
3
y
(
(
y
2
+
1
)
−
1
)
d
x
\displaystyle \int_{1}^{5} 3y\big((y^2+1)-1\big)\,dx
∫
1
5
3
y
(
(
y
2
+
1
)
−
1
)
d
x
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