Q44 of 123 Page 22

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


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