Use a fiNite Sum to Estimate the Average Value of the Function

question 51

Multiple Choice

Use a finite sum to estimate the average value of the function on the given interval by partitioning the interval and
evaluating the function at the midpoints of the subintervals.
- $f ( t ) = 1 - \left( \cos \frac { \pi t } { 2 } \right) ^ { 2 }$ on $[ 0,4 ]$ divided into 4 subintervals

• A) \(- \frac { 1 } { 4 }\)
• B) 1
• C) \(\frac { 1 - \sqrt { 2 } } { 2 }\)
• D) \(\frac { 1 } { 2 }\)

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