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II. Integration – 2. Itereret integral 198 z x 2.27. Produktregel Eksempel 5 ☞ [S] 12.2 Iterated integrals π π 2 2 sin(x)cos(y)dA = sin(x)cos(y)dxdy R = = 0 π 2 0 π 2 0 0 cos(y) π 2 0 sin(x)dx y sin(x)dx dy π 2 0 cos(y)dy
II. Integration – 2. Itereret integral 199 = [−cos(x)] π 2 0 [sin(y)] π 2 0 = (−0 − (−1))(1 − 0) = 1 2.28. Opgave ☞ [S] 12.2 Iterated integrals Øvelse 16 R = [0,1] × [0,1], f(x,y) = xe xy x z y
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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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II. Integration - 4. Koordinatskift
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III. Potensrækker - 1. l’Hospita
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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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VII. Skalarprodukt og projektion -
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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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