Find the area of the region bounded by the ellipse

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Solution

The given equation of the ellipse can be represented as

It can be observed that the ellipse is symmetrical about x-axis and y-axis.

∴ Area bounded by ellipse = 4 × Area OAB

Therefore, area bounded by the ellipse =

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

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

Find the area of the region bounded by the ellipse $\frac{x^{2}}{4} + \frac{y^{2}}{9} = 1$ .

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