Find the area of the region bounded by the ellipse \displaystyle \ | Filo
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Class 12

Math

Calculus

Application of Integrals

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Find the area of the region bounded by the ellipse .

Solution: The given equation of the ellipse can be represented as


the standard form of ellipse is given by

by comparing we get,


.............. (1)

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

Area bounded by ellipse Area

Area of   

[Using (1)]







Therefore, area bounded by the ellipse units
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