Express As a Definite Integral

question 195

Essay

Express $\lim _ { n \rightarrow \infty } \left\{ \sum _ { i = 1 } ^ { n } \left[ 2 + \left( \frac { 3 i } { n } \right) ^ { 2 } \right] \frac { 3 } { n } \right\}$ as a definite integral.

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