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II. Integration – 3. Generelle områder 206 y y = g2(x) y = g1(x) a b Område af Type I D = {(x,y)|a ≤ x ≤ b,g1(x) ≤ y ≤ g2(x)} 3.9. Type I ☞ [S] 12.3 Double integrals over general regions Type I integral 3 For f givet på D = {(x,y)|a ≤ x ≤ b,g1(x) ≤ y ≤ g2(x)} er integralet et itereret integral D b g2(x) f(x,y)dA = f(x,y)dy dx a g1(x) x
II. Integration – 3. Generelle områder 207 3.10. Type I ☞ [S] 12.3 Double integrals over general regions Eksempel 1 Givet funktionen f(x,y) = x + 2y på Type I mængden Dobbelt integralet beregnes itereret f(x,y)dA = D = {(x,y)| − 1 ≤ x ≤ 1,2x 2 ≤ y ≤ 1 + x 2 } D 1 2 1+x −1 2x 2 (x + 2y)dy dx 3.11. Type I ☞ [S] 12.3 Double integrals over general regions Eksempel 1 - figur
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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 - 1. l’Hospita
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III. Potensrækker - 2. Talfølger
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III. Potensrækker - 3. Potensrækk
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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 - 1. Vektorer og matric
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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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VI. Egenvektorer og diagonalisering
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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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etningsafledede, 89, 102 retningsfe
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