Objectives:
1) Finding the area of a rectangular region
2) Finding the area of a nonrectangular region
We can use double integrals to find the area of a rectangular region and a nonrectangular region
Area of a rectangular region
The area of a single rectangular region can be found by a simple geometric formula. It can also be found using double integrals.
By definition, the area of a plane bounded region D is given by:
Area of a nonrectangular region
We have seen that an area can be calculated using a single integral. It can also be calculated using double integrals.
Example
Find the area of the region bounded below by the curve y = x² and above by the line y = 2x in the first quadrant.
Solution
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