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Find the area of the region bounded by the ellipse `x^2/4 + y^2/9 = 1`

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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 = `4 xx (3pi)/2 = 6pi` units

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