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II. Integration – 1. Dobbelt integral 164 ✌ Test integral regneregler 1.2. Genoplev integralet ☞ [S] 5.2 The definite integral 2 Definition Intervallet [a,b] inddeles i n stykker af længde ∆x = b−a n a = x0 ≤ · · · ≤ xi−1 ≤ x ∗ i ≤ xi ≤ · · · ≤ xn = b Det bestemte integral af en kontinuert funktion f : [a,b] → R er b n f(x)dx = lim a f(x n→∞ i=1 ∗ i )∆x 1.3. Giver areal ☞ [S] 5.2 The definite integral Figur
II. Integration – 1. Dobbelt integral 165 y a b Integralet er arealet 1.4. Riemann summen ☞ [S] 5.2 The definite integral Bemærkning n i=1 kaldes Riemann summen og tilnærmer integralet b f(x)dx ≈ a f(x ∗ i )∆x n i=1 f(x ∗ i )∆x Hvis f(x) ≥ 0 så tilnærmer Riemann summen arealet under grafen. Det bestemte integral er da x
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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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1. Grafiske/numeriske metoder IV Di
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1. Vektorer og matricer V Matricer
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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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etningsafledede, 89, 102 retningsfe
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