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

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

A) $\frac { 319 } { 105 }$

B) $\frac { 319 } { 420 }$
C) $\frac { 533 } { 210 }$
D) $\frac { 533 } { 840 }$
E) $\frac { 11 } { 2 }$
F) $\frac { 11 } { 8 }$

G) $\frac { 13 } { 2 }$

H) $\frac { 13 } { 8 }$

Correct Answer:

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