FIND THE AREA OF ELLIPSE XSQUARE/A SQUARE+YSQUARE/BSQUARE=1 - Maths - Application of Integrals

Question

FIND THE AREA OF ELLIPSE XSQUARE/A SQUARE+YSQUARE/BSQUARE=1

S. Usha Rani · Accepted Answer

The equation of ellipse is $\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1$

Let us calculate the area in the first quadrant

Let us solve the equation of ellipse for y

This function is from 0 to a Let us integrate this which gives us the area of the ellipse in the first quadrant

So the total area of ellipse = 4* area of the first quadrant = 4*

=abÏ€