Practice question · Sort into groups
Sort each application into what a double integral computes.
Groups: Area · Volume · Mass
- ∬_R (x,y) dA ( = density)
- ∬_R dA where is height
- ∬_R 1 dA
- ∬_R dA over region R
Hints
- Ask what the integrand represents physically.
- Integrating the constant one measures the region itself.
Show the answer
Area: ∬_R 1 dA, ∬_R dA over region R
Volume: ∬_R dA where is height
Mass: ∬_R (x,y) dA ( = density)
Why
Double integrals compute area (integrand 1), volume (integrand = height), or mass (integrand = density).
Practise Double Integrals
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More questions on Double Integrals
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