Question: Find the area between the x-axis and the upper half of the ellipse 4x 2 + 9y 2 = 36 by using n = 12

Find the area between the x-axis and the upper half of the ellipse 4x² + 9y² = 36 by using n = 12 with the following methods.

(a) The trapezoidal rule

(b) Simpson’s rule

(c) Compare the results with the actual area, 3π ≈ 9.4248 (which can be found by methods not considered in this text). Which approximation technique was more accurate?

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