Given, {(x, 0) :
![\[\begin{array}{*{35}{l}} y~=\text{ }\surd \left( 4\text{ }~-{{x}^{2}} \right)\ \\ So,\text{ }{{y}^{2}}~=\text{ }4\text{ }-\text{ }{{x}^{2}} \\ {{x}^{2}}~+\text{ }{{y}^{2}}~=\text{ }4 \\ \end{array}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-0c35a0e276b6edcdb9fbb8ef5043dbca_l3.png "Rendered by QuickLaTeX.com")
which is a circle.
Now, the required area
Sketch the region {(x, 0) : y = √(4 – x^2)} and x-axis. Find the area of the region using integration.
Sketch the region {(x, 0) : y = √(4 – x^2)} and x-axis. Find the area of the region using integration.