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

Class 12

Math

Calculus

Application of Integrals

570
150

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
570
150

Connecting you to a tutor in 60 seconds.