Double integrals over a general region
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Intros
Lessons
- Double Integrals Over a General Region Overview:
- Double Integrals Over General Regions
- Not a rectangular region
- Region is between two curves
- Case 1: Two curves in terms of
- Case 2: Two curves in terms of
- An Example
- Properties of Double Integrals
- 3 properties
- Sum of two functions
- Factoring the scalar
- Splitting into 2 regions: &
- An Example of using the properties
- Volume of General Region in 3D
- Subtract the two functions
- Find the region
- An Example
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Examples
Lessons
- Evaluating the Double Integral Over General Regions
Evaluate where is the region bounded by and . - Evaluate where is the region bounded by and .
- Evaluate where is the region bounded by and axis.
- Evaluate where is the region bounded by the triangle with vertices (0,0), (2, 0), (0, 2).
- Find the area of the region bounded by and .