AP Calculus BC Quiz
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APPLICATIONS OF INTEGRATION
Question 1
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Let
f
(
x
)
=
x
3
f(x)=x^3
f
(
x
)
=
x
3
and
g
(
x
)
=
x
2
g(x)=x^2
g
(
x
)
=
x
2
. Which setup gives total area between the curves on
[
0
,
1
]
[0,1]
[
0
,
1
]
?
A
∫
0
1
(
x
3
−
x
2
)
d
x
\displaystyle \int_{0}^{1}(x^3-x^2)\,dx
∫
0
1
(
x
3
−
x
2
)
d
x
B
∫
0
1
(
x
2
−
x
3
)
d
x
\displaystyle \int_{0}^{1}(x^2-x^3)\,dx
∫
0
1
(
x
2
−
x
3
)
d
x
C
∫
0
1
(
x
3
+
x
2
)
d
x
\displaystyle \int_{0}^{1}(x^3+x^2)\,dx
∫
0
1
(
x
3
+
x
2
)
d
x
D
∫
0
0
(
x
2
−
x
3
)
d
x
+
∫
0
1
(
x
3
−
x
2
)
d
x
\displaystyle \int_{0}^{0}(x^2-x^3)\,dx+\int_{0}^{1}(x^3-x^2)\,dx
∫
0
0
(
x
2
−
x
3
)
d
x
+
∫
0
1
(
x
3
−
x
2
)
d
x
E
∫
0
1
(
x
3
−
1
)
d
x
\displaystyle \int_{0}^{1}(x^3-1)\,dx
∫
0
1
(
x
3
−
1
)
d
x
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