Q. Area of the region enclosed between the curves $x=y^{2}-1$ and $x=|y| \sqrt{1-y^{2}}$ is
Application of Integrals
Solution:
$A =2 \int\limits_{0}^{1}\left[y \sqrt{1-y^{2}}-\left(y^{2}-1\right)\right] d y$
$=2\, sq$. units.
