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Web skærmformat. - Aarhus Universitet

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II. Integration – 3. Generelle områder 205<br />

3.7. Volumen ☞ [S] 12.3 Double integrals over general regions<br />

Bemærkning<br />

Givet et område D og en positiv f : D → R.<br />

Legemet i R 3<br />

E = {(x,y,z)|(x,y) ∈ D, 0 ≤ z ≤ f(x,y)}<br />

har volumen V givet ved dobbeltintegralet<br />

<br />

V =<br />

D<br />

f(x,y)dA<br />

3.8. Type I ☞ [S] 12.3 Double integrals over general regions<br />

Figur

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