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II. Integration – 3. Generelle områder 222 f(x,y)dA + g(x,y)dA D D 7 cf(x,y)dA = c f(x,y)dA D D Hvis f(x,y) ≥ g(x,y), så er 8 f(x,y)dA ≥ g(x,y)dA D D 3.33. Opdelt område [S] 12.3 Double integrals over general regions Regneregler for dobbeltintegral Hvis området D er opdelt i D1,D2, så er 9 f(x,y)dA = D f(x,y)dA + f(x,y)dA D1 D1 D D2 D2
II. Integration – 3. Generelle områder 223 3.34. Opdelt område ☞ [S] 12.3 Double integrals over general regions Figur y x Cirkelring opdelt som to Type I områder y x Cirkelring opdelt som to Type II områder 3.35. Areal Definition (Areal som dobbeltintegral) ☞ [S] 12.3 Double integrals over general regions Arealet af et område D er 10 A(D) = 1dA D
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CALCULUS "SLIDES" TIL CALCULUS 1 +
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3. Generelle områder 201 4. Koordi
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Forord "Slides" til forelæsningern
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I. Differentiation - 1. Kontinuitet
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III. Potensrækker - 2. Talfølger
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III. Potensrækker - 4. Taylorpolyn
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1. Grafiske/numeriske metoder IV Di
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IV. Differentialligninger - 1. Graf
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1. Vektorer og matricer V Matricer
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V. Matricer - 4. Determinanter 419
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V. Matricer - 4. Determinanter = (
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1. Egenvektorer VI Egenvektorer og
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Litteratur • Arnold, Ordinary dif
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0-række/søjle, 423 n-te afsnitssu
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Identitetsmatricen, 383 Identitetsm
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