Let F (X) = $\frac { 1 } { x }$

Multiple Choice

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

A) $\frac { 3 } { 4 }$
B) 3
C) $\frac { 48 } { 35 }$
D) $\frac { 12 } { 35 }$
E) $\frac { 3 } { 2 }$
F) $\frac { 7 } { 8 }$
G) $\frac { 24 } { 35 }$
H) $\frac { 6 } { 35 }$