Using integration, find the area of the following region.

To find area of region

(i)


(ii)


Equation (1) represents an ellipse with centre at origin and meets axes at (±3, 0), (0,±2).


Equation (2) is a line that meets axes at (3, 0), (0, 2).


The sketch of the two curves are shown below:



Required area =








The area of the region: is


44