Trapezoid Rule: Quiz

Problem 3

1. Use the trapezoid rule with n = 5 to estimate the area of the region under the curve
   
   and above the v axis.
2. What is the exact area of this region?
3. What is the smallest n that results in the value of this estimate coming to within 1 of the exact area?

Answers, problem 3

1. 142.384
2. s(v) is a semicircle with radius 10, so its area is 1/2 (π10²) = 50π
3. 31, giving the estimate 156.118 for the area. Using n = 30, the estimate is 156.07.

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