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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