Sketch a Plane Region Whose Area Is Equal To

Essay

Sketch a plane region whose area is equal to $\lim _ { n \rightarrow \infty } \left\{ \sum _ { i = 1 } ^ { n } \left[ 2 + \left( \frac { i } { n } \right) ^ { 2 } \right] \frac { 1 } { n } \right\}$