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Mathematics
Problem
Determine the definite integral represented by
lim
N
→
∞
∑
i
=
1
N
4
+
6
i
N
6
N
.
\lim_{N\to\infty}\sum_{i=1}^{N}\sqrt{4+\frac{6i}{N}}\,\frac{6}{N}.
N
→
∞
lim
i
=
1
∑
N
4
+
N
6
i
N
6
.
(Do not evaluate the integral.)
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