Let F (X) = $2 x + 1$ On the Interval [ - 1,1]

Multiple Choice

Let f (x) = $2 x + 1$ on the interval [ - 1,1]. 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 left endpoint of its subinterval.

A) 1
B) 2
C) $- 2$
D) 0
E) 6
F) 3
G) 4
H) $- 1$