Question: Find the area under the semicircle y = 4 - x 2 and above the x-axis by using n = 8 with the following methods.

Find the area under the semicircle y = √4 - x² and above the x-axis by using n = 8 with the following methods.
(a) The trapezoidal rule

(b) Simpson’s rule
(c) Compare the results with the area found by the formula for the area of a circle. Which of the two approximation techniques was more accurate?

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