Mathematics · supplementary
Area of ellipse by integration for JEE
Determining areas of the regions bounded by simple curves in standard forms
Formula
\[\text{Area of } \frac{x^2}{a^2}+\frac{y^2}{b^2}=1 =4\int_0^a b\sqrt{1-\frac{x^2}{a^2}}\,dx=\pi ab\]
Variables: \(a,b>0\) are semi-axes.
Standard bounded area result.