Suppose S₃ is the Lower Sum of the Area Enclosed $( x ) = \frac { 1 } { x }$

Multiple Choice

Suppose S₃ is the lower sum of the area enclosed by the graph $( x ) = \frac { 1 } { x }$ , the x-axis, and the lines x = 1 and x = 4 by partitioning [1, 4] into three subintervals [1, 2], [2, 3], and [3, 4]. Then S₃ is

A) $\frac { 13 } { 12 }$
B) $\frac { 9 } { 8 }$
C) $\frac { 11 } { 6 }$
D) 2
E) $\frac { 13 } { 6 }$