AP Calculus BC Quiz
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INTEGRATION AND ACCUMULATION OF CHANGE
Question 1
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A Riemann sum is
∑
k
=
1
80
(
2
k
80
)
3
2
80
\sum_{k=1}^{80} \left(\frac{2k}{80}\right)^3\,\frac{2}{80}
∑
k
=
1
80
(
80
2
k
)
3
80
2
. Which integral does it represent?
A
∫
0
2
x
3
d
x
\displaystyle \int_{0}^{2} x^3\,dx
∫
0
2
x
3
d
x
B
∫
0
80
(
2
x
80
)
3
d
x
\displaystyle \int_{0}^{80} \left(\frac{2x}{80}\right)^3\,dx
∫
0
80
(
80
2
x
)
3
d
x
C
∫
0
2
(
2
x
80
)
3
d
x
\displaystyle \int_{0}^{2} \left(\frac{2x}{80}\right)^3\,dx
∫
0
2
(
80
2
x
)
3
d
x
D
∫
0
2
x
3
2
80
d
x
\displaystyle \int_{0}^{2} x^3\,\frac{2}{80}\,dx
∫
0
2
x
3
80
2
d
x
E
∫
0
80
x
3
d
x
\displaystyle \int_{0}^{80} x^3\,dx
∫
0
80
x
3
d
x
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