Let F (X) = $x ^ { 2 } - 2$

Multiple Choice

Let f (x) = $x ^ { 2 } - 2$ on the interval [0,2]. Let the interval be divided into four equal subintervals. Find the value of the Riemann sum $\sum _ { i = 1 } ^ { 4 } f \left( x _ { i } ^ { * } \right) \Delta x _ { i } \text { if } x _ { i } ^ { * }$ is the midpoint of the subinterval.

A) $- \frac { 11 } { 4 }$


B) $- \frac { 1 } { 4 }$
C) $- \frac { 9 } { 4 }$
D) $\frac { 9 } { 2 }$
E) $- \frac { 1 } { 2 }$
F) $- \frac { 11 } { 8 }$

G) $- \frac { 9 } { 2 }$

H) $\frac { 7 } { 2 }$