(Solved): Express the limit as a definite integral on the given interval. (But dor't calculate the integrall ...

Express the limit as a definite integral on the given interval. (But dor't calculate the integrall. \[ \lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{1+\frac{2 i}{n}}{\left(1+\frac{2 i}{n}\right)^{2}+4}\left(\frac{2}{n}\right),[1,3] \] 2.) Express the integral as a limit of Riemann sums, But do not calculate the limit, \[ \int_{3}^{10} 4 x \cos (x) d x \]