Let F (X) = $x ^ { 2 } - 2$

question 91

Multiple Choice

Let f (x) = $x ^ { 2 } - 2$ on the interval [0,2]. Let the interval be divided into four equal subintervals. Find the value of the Riemann sum $\sum _ { i = 1 } ^ { 4 } f \left( x _ { i } ^ { * } \right) \Delta x _ { i } \text { if } x _ { i } ^ { * }$ is the midpoint of the subinterval.

• A) \(- \frac { 11 } { 4 }\)
• B) \(- \frac { 1 } { 4 }\)
• C) \(- \frac { 9 } { 4 }\)
• D) \(\frac { 9 } { 2 }\)
• E) \(- \frac { 1 } { 2 }\)
• F) \(- \frac { 11 } { 8 }\)
• G) \(- \frac { 9 } { 2 }\)
• H) \(\frac { 7 } { 2 }\)

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