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

question 79

Multiple Choice

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) \(\frac { 13 } { 8 }\)