Calculus 1 Quiz
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INTEGRATION: ACCUMULATION & FTC
Question 1
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Which expression represents
∫
0
4
x
d
x
\int_0^4 \sqrt{x} \, dx
∫
0
4
x
d
x
as a limit of Riemann sums using right endpoints?
A
lim
n
→
∞
∑
i
=
0
n
−
1
4
i
n
⋅
4
n
\lim_{n \to \infty} \sum_{i=0}^{n-1} \sqrt{\frac{4i}{n}} \cdot \frac{4}{n}
lim
n
→
∞
∑
i
=
0
n
−
1
n
4
i
⋅
n
4
B
lim
n
→
∞
∑
i
=
1
n
4
i
n
⋅
4
n
\lim_{n \to \infty} \sum_{i=1}^{n} \sqrt{\frac{4i}{n}} \cdot \frac{4}{n}
lim
n
→
∞
∑
i
=
1
n
n
4
i
⋅
n
4
C
lim
n
→
∞
∑
i
=
1
n
4
(
i
−
1
)
n
⋅
4
n
\lim_{n \to \infty} \sum_{i=1}^{n} \sqrt{\frac{4(i-1)}{n}} \cdot \frac{4}{n}
lim
n
→
∞
∑
i
=
1
n
n
4
(
i
−
1
)
⋅
n
4
D
lim
n
→
∞
∑
i
=
1
n
4
i
n
⋅
1
n
\lim_{n \to \infty} \sum_{i=1}^{n} \sqrt{\frac{4i}{n}} \cdot \frac{1}{n}
lim
n
→
∞
∑
i
=
1
n
n
4
i
⋅
n
1
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