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Express the limit as a definite integral on the given interval. \[ \begin{array}{l} \lim _{n \righ ...
Express the limit as a definite integral on the given interval. \[ \begin{array}{l} \lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{x_{i}^{*}}{\left(x_{i}^{*}\right)^{2}+2} \Delta x, \quad[1,8] \\ \int_{1}(() d x \end{array} \]