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, 

the standard form of ellipse is given by

by comparing we get,


It can be observed that the ellipse is symmetrical about -axis and -axis.
Area bounded by ellipse Area of

Area of   












Therefore, are bounded by the ellipse
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