AP Calculus BC Quiz
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INTEGRATION AND ACCUMULATION OF CHANGE
Question 1
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The sum
∑
k
=
1
4
3
4
⋅
sin
(
3
k
4
)
\sum_{k=1}^4 \frac{3}{4} \cdot \sin\left(\frac{3k}{4}\right)
∑
k
=
1
4
4
3
⋅
sin
(
4
3
k
)
represents which type of Riemann sum approximation?
A
Left Riemann sum for
∫
0
3
sin
x
d
x
\int_0^3 \sin x \, dx
∫
0
3
sin
x
d
x
with
n
=
4
n = 4
n
=
4
B
Right Riemann sum for
∫
0
3
sin
x
d
x
\int_0^3 \sin x \, dx
∫
0
3
sin
x
d
x
with
n
=
4
n = 4
n
=
4
C
Midpoint Riemann sum for
∫
0
3
sin
x
d
x
\int_0^3 \sin x \, dx
∫
0
3
sin
x
d
x
with
n
=
4
n = 4
n
=
4
D
Left Riemann sum for
∫
0
4
sin
x
d
x
\int_0^4 \sin x \, dx
∫
0
4
sin
x
d
x
with
n
=
3
n = 3
n
=
3
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