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Mathematics
Mathematics
Problem
A continuous function
v
v
v
satisfies
∫
0
6
v
(
t
)
d
t
=
18
\displaystyle\int_{0}^{6} v(t)\,dt=18
∫
0
6
v
(
t
)
d
t
=
18
. What numerical value does the limit
lim
n
→
∞
∑
i
=
1
n
v
(
6
i
n
)
6
n
\lim_{n\to\infty}\sum_{i=1}^{n} v\!\left(\frac{6i}{n}\right)\frac{6}{n}
n
→
∞
lim
i
=
1
∑
n
v
(
n
6
i
)
n
6
approach?
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