AP Calculus BC Quiz
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APPLICATIONS OF INTEGRATION
Question 1
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Which integral gives the volume: base bounded by
y
=
x
y=\sqrt{x}
y
=
x
,
y
=
0
y=0
y
=
0
,
x
=
4
x=4
x
=
4
; cross sections
⊥
\perp
⊥
to the
x
x
x
-axis are equilateral triangles?
A
V
=
∫
0
4
3
4
x
d
x
V=\displaystyle\int_{0}^{4}\frac{\sqrt{3}}{4}\,x\,dx
V
=
∫
0
4
4
3
x
d
x
B
V
=
∫
0
2
3
4
y
4
d
y
V=\displaystyle\int_{0}^{2}\frac{\sqrt{3}}{4}\,y^4\,dy
V
=
∫
0
2
4
3
y
4
d
y
C
V
=
∫
0
4
3
4
(
x
)
2
d
x
V=\displaystyle\int_{0}^{4}\frac{\sqrt{3}}{4}\,(\sqrt{x})^2\,dx
V
=
∫
0
4
4
3
(
x
)
2
d
x
D
V
=
∫
0
4
3
4
(
x
)
d
x
V=\displaystyle\int_{0}^{4}\frac{\sqrt{3}}{4}\,(\sqrt{x})\,dx
V
=
∫
0
4
4
3
(
x
)
d
x
E
V
=
∫
0
4
3
4
(
x
)
4
d
x
V=\displaystyle\int_{0}^{4}\frac{\sqrt{3}}{4}\,(\sqrt{x})^4\,dx
V
=
∫
0
4
4
3
(
x
)
4
d
x
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