Let F (X) = $2 ^ { 6 x }$ On the Interval [0,1]

question 162

Multiple Choice

Let f (x) = $2 ^ { 6 x }$ on the interval [0,1]. Let the interval be divided into three equal subintervals. Find the value of the Riemann sum $\sum _ { i = 1 } ^ { 3 } f \left( x _ { i } ^ { * } \right) \Delta x _ { i }$ if each $x _ { i } ^ { * }$ is the midpoint of its subinterval.

• A) \(\frac { 13 } { 3 }\)
• B)21
• C)7
• D)28
• E)8
• F)42
• G)14
• H)84

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