Mathematics

Problem

Find the area enclosed between the ellipse

\displaystyle \frac{x^{2}}{9}+\frac{y^{2}}{4}=1

and the

x

-axis. a. (i) Rewrite the equation of the ellipse to express

y

explicitly in terms of

x

for the upper half of the ellipse. b. (ii) Set up a definite integral that represents the required area. c. (iii) Evaluate the integral to obtain the exact value of the area.

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